diff --git a/Artifacts.toml b/Artifacts.toml new file mode 100644 index 00000000..e1fd7b21 --- /dev/null +++ b/Artifacts.toml @@ -0,0 +1,7 @@ +[CO2Tables_CSP11] +git-tree-sha1 = "fe3911cdbf4fe04bdc36628f687b50b79f309e6a" +lazy = true + + [[CO2Tables_CSP11.download]] + sha256 = "b20fd6fbffdc9e2ab6f6e147e799ecc57fd2b8b5888923ccad3b4d437eab3479" + url = "https://github.com/sintefmath/JutulDarcy.jl/releases/download/v0.2.27/csp11.tar.gz" diff --git a/Project.toml b/Project.toml index 0c0946f2..7783bafa 100644 --- a/Project.toml +++ b/Project.toml @@ -1,9 +1,10 @@ name = "JutulDarcy" uuid = "82210473-ab04-4dce-b31b-11573c4f8e0a" authors = ["Olav Møyner "] -version = "0.2.27" +version = "0.2.28" [deps] +Artifacts = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" AlgebraicMultigrid = "2169fc97-5a83-5252-b627-83903c6c433c" DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" Dates = "ade2ca70-3891-5945-98fb-dc099432e06a" @@ -13,6 +14,7 @@ ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210" GeoEnergyIO = "3b1dd628-313a-45bb-9d8d-8f3c48dcb5d4" Jutul = "2b460a1a-8a2b-45b2-b125-b5c536396eb9" Krylov = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7" +LazyArtifacts = "4af54fe1-eca0-43a8-85a7-787d91b784e3" LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" LoopVectorization = "bdcacae8-1622-11e9-2a5c-532679323890" MAT = "23992714-dd62-5051-b70f-ba57cb901cac" @@ -41,6 +43,7 @@ JutulDarcyGLMakieExt = "GLMakie" JutulDarcyPartitionedArraysExt = ["PartitionedArrays", "MPI", "HYPRE"] [compat] +Artifacts = "1" AlgebraicMultigrid = "0.5.1, 0.6.0" DataStructures = "0.18.13" Dates = "1" @@ -48,10 +51,11 @@ DelimitedFiles = "1.9.1" DocStringExtensions = "0.9.3" ForwardDiff = "0.10.30" GLMakie = "0.10.0" -GeoEnergyIO = "1.1.3" +GeoEnergyIO = "1.1.5" HYPRE = "1.4.0" -Jutul = "0.2.35" +Jutul = "0.2.37" Krylov = "0.9.1" +LazyArtifacts = "1" LinearAlgebra = "1" LoopVectorization = "0.12.115" MAT = "0.10.3" diff --git a/docs/make.jl b/docs/make.jl index 3ef0d2d4..8dfbd27f 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -71,6 +71,7 @@ function build_jutul_darcy_docs(build_format = nothing; build_examples = true, b prettyurls=get(ENV, "CI", "false") == "true", canonical="https://sintefmath.github.io/JutulDarcy.jl", edit_link="main", + size_threshold_ignore = ["ref/jutul.md", "docstrings.md"], assets=String["assets/citations.css"], ) end diff --git a/docs/src/man/basics/systems.md b/docs/src/man/basics/systems.md index 3ff12731..e6349481 100644 --- a/docs/src/man/basics/systems.md +++ b/docs/src/man/basics/systems.md @@ -159,6 +159,5 @@ For additional details, please see Chapter 8 - Compositional Simulation with the ```@docs reservoir_system -ThermalSystem -Jutul.CompositeSystem +JutulDarcy.add_thermal_to_model! ``` diff --git a/examples/co2_sloped.jl b/examples/co2_sloped.jl index 68fdeb81..6507f0ea 100644 --- a/examples/co2_sloped.jl +++ b/examples/co2_sloped.jl @@ -24,30 +24,120 @@ for (i, pt) in enumerate(points) x, y, z = pt x_u = 2*π*x/1000.0 w = 0.2 - dz = 0.05*x + w*(30*sin(2.0*x_u) + 20*sin(5.0*x_u) + 10*sin(10.0*x_u) + 5*sin(25.0*x_u)) + dz = 0.05*x + 0.05*abs(x - 500.0)+ w*(30*sin(2.0*x_u) + 20*sin(5.0*x_u)) points[i] = pt + [0, 0, dz] end +# ## Find and plot cells intersected by a deviated injector well +# We place a single injector well. This well was unfortunately not drilled +# completely straight, so we cannot directly use `add_vertical_well` based on +# logical indices. We instead define a matrix with three columns x, y, z that +# lie on the well trajectory and use utilities from `Jutul` to find the cells +# intersected by the trajectory. +import Jutul: find_enclosing_cells, plot_mesh_edges +trajectory = [ + 745.0 0.5 45; # First point + 760.0 0.5 70; # Second point + 810.0 0.5 100.0 # Third point +] + +wc = find_enclosing_cells(mesh, trajectory) + +fig, ax, plt = plot_mesh_edges(mesh, z_is_depth = true) +plot_mesh!(ax, mesh, cells = wc, transparency = true, alpha = 0.3) +lines!(ax, trajectory', color = :red) +fig + # ## Set up simulation model # We set up a domain and a single injector. We pass the special :co2brine # argument in place of the system to the reservoir model setup routine. This # will automatically set up a compositional two-component CO2-H2O model with the # appropriate functions for density, viscosity and miscibility. # -# Note that this model can be run with a thermal mode by setting -domain = reservoir_domain(mesh, permeability = 1.0Darcy, porosity = 0.3, temperature = convert_to_si(30.0, :Celsius)) -Injector = setup_well(domain, (65, 1, 1), name = :Injector) -model, parameters = setup_reservoir_model(domain, :co2brine, wells = Injector); -# ## Find the boundary and set increased volume -# We find the left and right boundary of the model and increase the volume of -# those cells. This mimicks a constant pressure boundary condition. +# Note that this model by default is isothermal, but we still need to specify a +# temperature when setting up the model. This is because the properties of CO2 +# strongly depend on temperature, even when thermal transport is not solved. +domain = reservoir_domain(mesh, permeability = 0.3Darcy, porosity = 0.3, temperature = convert_to_si(30.0, :Celsius)) +Injector = setup_well(domain, wc, name = :Injector, simple_well = true) + +model = setup_reservoir_model(domain, :co2brine, wells = Injector, extra_out = false); +# ## Customize model by adding relative permeability with hysteresis +# We define three relative permeability functions: kro(so) for the brine/liquid +# phase and krg(g) for both drainage and imbibition. Here we limit the +# hysteresis to only the non-wetting gas phase, but either combination of +# wetting or non-wetting hysteresis is supported. +# +# Note that we import a few utilities from JutulDarcy that are not exported by +# default since hysteresis falls under advanced functionality. +import JutulDarcy: table_to_relperm, add_relperm_parameters!, brooks_corey_relperm +so = range(0, 1, 10) +krog_t = so.^2 +krog = PhaseRelativePermeability(so, krog_t, label = :og) + +# Higher resolution for second table +sg = range(0, 1, 50) + +# Evaluate Brooks-Corey to generate tables +tab_krg_drain = brooks_corey_relperm.(sg, n = 2, residual = 0.1) +tab_krg_imb = brooks_corey_relperm.(sg, n = 3, residual = 0.25) + +krg_drain = PhaseRelativePermeability(sg, tab_krg_drain, label = :g) +krg_imb = PhaseRelativePermeability(sg, tab_krg_imb, label = :g) + +fig, ax, plt = lines(sg, tab_krg_drain, label = "krg drainage") +lines!(ax, sg, tab_krg_imb, label = "krg imbibition") +lines!(ax, 1 .- so, krog_t, label = "kro") +axislegend() +fig +## Define a relative permeability variable +# JutulDarcy uses type instances to define how different variables inside the +# simulation are evaluated. The `ReservoirRelativePermeabilities` type has +# support for up to three phases with w, ow, og and g relative permeabilities +# specified as a function of their respective phases. It also supports +# saturation regions. +# +# Note: If regions are used, all drainage curves come first followed by equal +# number of imbibition curves. Since we only have a single (implicit) saturation +# region, the krg input should have two entries: One for drainage, and one for +# imbibition. +# +# We also call `add_relperm_parameters` to the model. This makes sure that when +# hysteresis is enabled, we track maximum saturation for hysteresis in each +# reservoir cell. +import JutulDarcy: KilloughHysteresis, ReservoirRelativePermeabilities +krg = (krg_drain, krg_imb) +H_g = KilloughHysteresis() # Other options: CarlsonHysteresis, JargonHysteresis +relperm = ReservoirRelativePermeabilities(g = krg, og = krog, hysteresis_g = H_g) +replace_variables!(model, RelativePermeabilities = relperm) +add_relperm_parameters!(model) +# ## Define approximate hydrostatic pressure +# The initial pressure of the water-filled domain is assumed to be at +# hydrostatic equilibrium. +nc = number_of_cells(mesh) +p0 = zeros(nc) +depth = domain[:cell_centroids][3, :] +g = Jutul.gravity_constant +@. p0 = 200bar + depth*g*1000.0 +# ## Set up initial state and parameters +state0 = setup_reservoir_state(model, + Pressure = p0, + OverallMoleFractions = [1.0, 0.0], +) +parameters = setup_parameters(model) + +# ## Find the boundary and apply a constant pressureboundary condition +# We find cells on the left and right boundary of the model and set a constant +# pressure boundary condition to represent a bounding aquifer that retains the +# initial pressure far away from injection. + boundary = Int[] -for cell in 1:number_of_cells(mesh) +for cell in 1:nc I, J, K = cell_ijk(mesh, cell) if I == 1 || I == nx push!(boundary, cell) end end -parameters[:Reservoir][:FluidVolume][boundary] *= 1000; +bc = flow_boundary_condition(boundary, domain, p0[boundary], fractional_flow = [1.0, 0.0]) + # ## Plot the model plot_reservoir(model) # ## Set up schedule @@ -58,7 +148,7 @@ nstep = 25 nstep_shut = 25 dt_inject = fill(365.0day, nstep) pv = pore_volume(model, parameters) -inj_rate = 0.0075*sum(pv)/sum(dt_inject) +inj_rate = 0.05*sum(pv)/sum(dt_inject) rate_target = TotalRateTarget(inj_rate) I_ctrl = InjectorControl(rate_target, [0.0, 1.0], @@ -66,29 +156,33 @@ I_ctrl = InjectorControl(rate_target, [0.0, 1.0], ) # Set up forces for use in injection controls = Dict(:Injector => I_ctrl) -forces_inject = setup_reservoir_forces(model, control = controls) +forces_inject = setup_reservoir_forces(model, control = controls, bc = bc) # Forces with shut wells -forces_shut = setup_reservoir_forces(model) +forces_shut = setup_reservoir_forces(model, bc = bc) dt_shut = fill(365.0day, nstep_shut); # Combine the report steps and forces into vectors of equal length dt = vcat(dt_inject, dt_shut) -forces = vcat(fill(forces_inject, nstep), fill(forces_shut, nstep_shut)); -# ## Set up initial state -state0 = setup_reservoir_state(model, - Pressure = 200bar, - OverallMoleFractions = [1.0, 0.0], -) +forces = vcat( + fill(forces_inject, nstep), + fill(forces_shut, nstep_shut) +); +# ## Add some more outputs for plotting +rmodel = reservoir_model(model) +push!(rmodel.output_variables, :RelativePermeabilities) +push!(rmodel.output_variables, :PhaseViscosities) # ## Simulate the schedule # We set a maximum internal time-step of 30 days to ensure smooth convergence # and reduce numerical diffusion. wd, states, t = simulate_reservoir(state0, model, dt, parameters = parameters, forces = forces, - max_timestep = 30day + max_timestep = 90day ) -# ## Plot the density of brine -# The density of brine depends on the CO2 concentration and gives a good -# visualization of where the mass of CO2 exists. +# ## Plot the CO2 mole fraction +# We plot log10 of the CO2 mole fraction. We use log10 to account for the fact +# that the mole fraction in cells made up of only the aqueous phase is much +# smaller than that of cells with only the gaseous phase, where there is almost +# just CO2. using GLMakie function plot_co2!(fig, ix, x, title = "") ax = Axis3(fig[ix, 1], @@ -102,8 +196,33 @@ function plot_co2!(fig, ix, x, title = "") end fig = Figure(size = (900, 1200)) for (i, step) in enumerate([1, 5, nstep, nstep+nstep_shut]) - plot_co2!(fig, i, states[step][:PhaseMassDensities][1, :], "Brine density report step $step/$(nstep+nstep_shut)") + plot_co2!(fig, i, log10.(states[step][:OverallMoleFractions][2, :]), "log10 of CO2 mole fraction at report step $step/$(nstep+nstep_shut)") +end +fig +# ## Plot all relative permeabilities for all time-steps +# We can plot all relative permeability evaluations. This both verifies that the +# hysteresis model is active, but also gives an indication to how many cells are +# exhibiting imbibition during the simulation. +kro_val = Float64[] +krg_val = Float64[] +sg_val = Float64[] +for state in states + kr_state = state[:RelativePermeabilities] + s_state = state[:Saturations] + for c in 1:nc + push!(kro_val, kr_state[1, c]) + push!(krg_val, kr_state[2, c]) + push!(sg_val, s_state[2, c]) + end end + +fig = Figure() +ax = Axis(fig[1, 1], title = "Relative permeability during simulation") +fig, ax, plt = scatter(sg_val, kro_val, label = "kro", alpha = 0.3) +scatter!(ax, sg_val, krg_val, label = "krg", alpha = 0.3) +axislegend() fig # ## Plot result in interactive viewer -plot_reservoir(model, states) \ No newline at end of file +# If you have interactive plotting available, you can explore the results +# yourself. +plot_reservoir(model, states) diff --git a/src/CO2Properties/CO2Properties.jl b/src/CO2Properties/CO2Properties.jl index ba02882c..24abfe9c 100644 --- a/src/CO2Properties/CO2Properties.jl +++ b/src/CO2Properties/CO2Properties.jl @@ -1,5 +1,5 @@ module CO2Properties - using Jutul, JutulDarcy, StaticArrays, MultiComponentFlash, DelimitedFiles + using Jutul, JutulDarcy, StaticArrays, MultiComponentFlash, DelimitedFiles, Artifacts, LazyArtifacts include("kvalues.jl") include("props.jl") include("reading.jl") diff --git a/src/CO2Properties/reading.jl b/src/CO2Properties/reading.jl index bd30a926..d2f7b7ec 100644 --- a/src/CO2Properties/reading.jl +++ b/src/CO2Properties/reading.jl @@ -1,12 +1,13 @@ function read_solubility_table(name; fix = true) x, header = DelimitedFiles.readdlm(name, ',', header = true, skipstart = 7) + header = map(strip, header) if fix new_header = Symbol[] lookup = Dict( "# temperature [°C]" => :T, - " phase pressure [Pa]" => :p, - " x_CO2 [-]" => :x_co2, - " y_H2O [-]" => :y_h2o, + "phase pressure [Pa]" => :p, + "x_CO2 [mol/mol]" => :x_co2, + "y_H2O [mol/mol]" => :y_h2o, ) for label in header push!(new_header, lookup[label]) diff --git a/src/CO2Properties/setup.jl b/src/CO2Properties/setup.jl index be5623f1..56b8e6d8 100644 --- a/src/CO2Properties/setup.jl +++ b/src/CO2Properties/setup.jl @@ -2,6 +2,7 @@ function setup_reservoir_model_co2_brine(reservoir::DataDomain; temperature = missing, thermal = false, composite = thermal, + extra_out = true, kwarg... ) tables = co2_brine_property_tables(temperature) @@ -9,26 +10,23 @@ function setup_reservoir_model_co2_brine(reservoir::DataDomain; mu = JutulDarcy.PTViscosities(tables[:viscosity]) if thermal c_v = JutulDarcy.PressureTemperatureDependentVariable(tables[:heat_capacity_constant_volume]) - rho = Pair(:flow, rho) - mu = Pair(:flow, mu) - c_v = Pair(:thermal, c_v) end mixture = MultiComponentMixture(["Water", "CarbonDioxide"], name = "CSP11BC-mixture") - mixture.component_names[1] = "H₂O" - mixture.component_names[2] = "CO₂" + mixture.component_names[1] = "H2O" + mixture.component_names[2] = "CO2" keos = KValuesEOS(tables[:K], mixture) # Densities - rhoSurfaceBrine = 998.207150 - rhoSurfaceCO2 = 1.868048 - rhoS = [rhoSurfaceBrine, rhoSurfaceCO2] - L, V = LiquidPhase(), VaporPhase() - sys = MultiPhaseCompositionalSystemLV(keos, (L, V), reference_densities = rhoS) - if thermal - sys = reservoir_system(flow = sys, thermal = ThermalSystem(sys)) - elseif composite - sys = reservoir_system(flow = sys) + rhoS = JutulDarcy.reference_densities(:co2brine) + phases = JutulDarcy.get_phases(:co2brine) + sys = MultiPhaseCompositionalSystemLV(keos, phases, reference_densities = rhoS) + + tmp = setup_reservoir_model(reservoir, sys; thermal = thermal, kwarg...); + out = setup_reservoir_model(reservoir, sys; thermal = thermal, extra_out = extra_out, kwarg...) + if extra_out + model = out[1] + else + model = out end - model, parameters = setup_reservoir_model(reservoir, sys; kwarg...); outvar = model[:Reservoir].output_variables push!(outvar, :Saturations) @@ -56,11 +54,23 @@ function setup_reservoir_model_co2_brine(reservoir::DataDomain; end end end - return (model, parameters) + return out +end + +function JutulDarcy.reference_densities(::Val{:co2brine}) + rhoSurfaceBrine = 998.207150 + rhoSurfaceCO2 = 1.868048 + return (rhoSurfaceBrine, rhoSurfaceCO2) +end + +function JutulDarcy.get_phases(::Val{:co2brine}) + return (LiquidPhase(), VaporPhase()) end -function co2_brine_property_tables(T = missing) - getpth(n) = joinpath(@__DIR__, "tables", n) + +function co2_brine_property_tables(T = missing; basepath = joinpath(artifact"CO2Tables_CSP11", "csp11")) + ispath(basepath) || throw(ArgumentError("basepath $basepath does not exist.")) + getpth(n) = joinpath(basepath, n) co2 = read_component_table(getpth("co2values.csv")) h2o = read_component_table(getpth("h2ovalues.csv")) @@ -91,3 +101,17 @@ function co2_brine_property_tables(T = missing) :solubility_table => sol ) end + +function JutulDarcy.select_injector_mixture_spec(sys::Val{:co2brine}, name, streams, type) + rho_w, rho_co2 = JutulDarcy.reference_densities(sys) + if lowercase(type) == "gas" + rho = rho_co2 + mix = [0.0, 1.0] + phases_mix = ((1, 0.0), (2, 1.0)) + else + rho = rho_w + mix = [1.0, 0.0] + phases_mix = ((1, 1.0), (2, 0.0)) + end + return (rho, mix, phases_mix) +end diff --git a/src/CO2Properties/tables/co2values.csv b/src/CO2Properties/tables/co2values.csv deleted file mode 100644 index ad04b3d3..00000000 --- a/src/CO2Properties/tables/co2values.csv +++ /dev/null @@ -1,20008 +0,0 @@ -# This autogenerated file contains thermodynamical properties of CO2. -# The data has been obtained by querying the NIST Chemistry WebBook https://doi.org/10.18434/T4D303. -# -# Concerning temperature and pressure ranges, the following parameters have been used: -# min temperature = 1.0, max temperature = 200.0, #temperature sampling points = 100 -# min pressure = 101325.0, max pressure = 100000000.0, #pressure sampling points = 200 -# -# temperature [°C], pressure [Pa], density [kg/m3], viscosity [Pa.s], enthalpy [J/kg], thermal_conductivity [W/m.K], cv [J/kg.K], cp [J/kg.K], internal energy [J/kg.K] -1.00000000000e+00, 1.01325000000e+05, 1.96944161023e+00, 1.37577968973e-05, 4.85697627274e+05, 1.48185741260e-02, 6.33043821955e+02, 8.27804844484e+02, 4.34249034194e+05 -1.00000000000e+00, 6.03328391960e+05, 1.21433756185e+01, 1.37949740697e-05, 4.79868614362e+05, 1.51458815757e-02, 6.52027182462e+02, 8.79906523974e+02, 4.30184868185e+05 -1.00000000000e+00, 1.10533178392e+06, 2.31183538951e+01, 1.38490872335e-05, 4.73622716495e+05, 1.55436452405e-02, 6.73188955548e+02, 9.43287379455e+02, 4.25810844208e+05 -1.00000000000e+00, 1.60733517588e+06, 3.50885944377e+01, 1.39249239634e-05, 4.66855676939e+05, 1.60386331124e-02, 6.97494381724e+02, 1.02326306274e+03, 4.21047766943e+05 -1.00000000000e+00, 2.10933856784e+06, 4.83403487843e+01, 1.40296618916e-05, 4.59413603774e+05, 1.66760242732e-02, 7.26418541188e+02, 1.12902451226e+03, 4.15778449686e+05 -1.00000000000e+00, 2.61134195980e+06, 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1.92777458784e-02, 7.53935493434e+02, 1.20672360690e+03, 4.24827068125e+05 -2.31111111111e+01, 3.61534874372e+06, 8.24911103812e+01, 1.56011993941e-05, 4.63531579824e+05, 2.01545585441e-02, 7.77948605819e+02, 1.32499262292e+03, 4.19704448307e+05 -2.31111111111e+01, 4.11735213568e+06, 9.88600013154e+01, 1.58537420996e-05, 4.55638861228e+05, 2.13004428798e-02, 8.06502143882e+02, 1.48544444858e+03, 4.13990549667e+05 -2.31111111111e+01, 4.61935552764e+06, 1.17746737366e+02, 1.61870908737e-05, 4.46688864513e+05, 2.28796818384e-02, 8.41950504790e+02, 1.71890378297e+03, 4.07457581923e+05 -2.31111111111e+01, 5.12135891960e+06, 1.40451720028e+02, 1.66488971916e-05, 4.36150747918e+05, 2.52406930799e-02, 8.89036320435e+02, 2.09875041554e+03, 3.99687264818e+05 -2.31111111111e+01, 5.62336231156e+06, 1.69907404297e+02, 1.73504709059e-05, 4.22833154608e+05, 2.93278886189e-02, 9.59823545590e+02, 2.86202584806e+03, 3.89736525684e+05 -2.31111111111e+01, 6.12536570352e+06, 2.16799556398e+02, 1.87162249528e-05, 4.02415861039e+05, 3.99545391660e-02, 1.11151403425e+03, 5.69638973045e+03, 3.74162271385e+05 -2.31111111111e+01, 6.62736909548e+06, 7.58509641443e+02, 6.44244356112e-05, 2.63280500073e+05, 8.34275931952e-02, 1.00555637777e+03, 4.29666405348e+03, 2.54543143640e+05 -2.31111111111e+01, 7.12937248744e+06, 7.75456510951e+02, 6.71967439946e-05, 2.60340739548e+05, 8.50655699122e-02, 9.85187842271e+02, 3.77361142003e+03, 2.51146964801e+05 -2.31111111111e+01, 7.63137587940e+06, 7.89043112953e+02, 6.95198675874e-05, 2.58038690872e+05, 8.66311191295e-02, 9.71504606878e+02, 3.45305305772e+03, 2.48367006582e+05 -2.31111111111e+01, 8.13337927136e+06, 8.00525588401e+02, 7.15573134265e-05, 2.56139404212e+05, 8.80947581501e-02, 9.61522523393e+02, 3.23026753051e+03, 2.45979355128e+05 -2.31111111111e+01, 8.63538266332e+06, 8.10543930395e+02, 7.33933507350e-05, 2.54522309123e+05, 8.94631643488e-02, 9.53915009550e+02, 3.06370871470e+03, 2.43868497109e+05 -2.31111111111e+01, 9.13738605528e+06, 8.19474996650e+02, 7.50781350051e-05, 2.53115984364e+05, 9.07482946975e-02, 9.47944419384e+02, 2.93308910169e+03, 2.41965691685e+05 -2.31111111111e+01, 9.63938944724e+06, 8.27561853970e+02, 7.66443374390e-05, 2.51874113693e+05, 9.19614874070e-02, 9.43154836871e+02, 2.82713014589e+03, 2.40226175354e+05 -2.31111111111e+01, 1.01413928392e+07, 8.34971501140e+02, 7.81146107403e-05, 2.50764715896e+05, 9.31123971434e-02, 9.39246330711e+02, 2.73897577463e+03, 2.38618920710e+05 -2.31111111111e+01, 1.06433962312e+07, 8.41824150324e+02, 7.95053989528e-05, 2.49764663724e+05, 9.42090246151e-02, 9.36012785902e+02, 2.66417725062e+03, 2.37121410110e+05 -2.31111111111e+01, 1.11453996231e+07, 8.48209500150e+02, 8.08290673351e-05, 2.48856627910e+05, 9.52579740717e-02, 9.33307690224e+02, 2.59970090373e+03, 2.35716714220e+05 -2.31111111111e+01, 1.16474030151e+07, 8.54196422836e+02, 8.20951777197e-05, 2.48027251929e+05, 9.62647204161e-02, 9.31023974785e+02, 2.54339569763e+03, 2.34391742925e+05 -2.31111111111e+01, 1.21494064070e+07, 8.59839049346e+02, 8.33112943340e-05, 2.47266001614e+05, 9.72338354211e-02, 9.29081542215e+02, 2.49368768481e+03, 2.33136140430e+05 -2.31111111111e+01, 1.26514097990e+07, 8.65180760952e+02, 8.44835154262e-05, 2.46564408052e+05, 9.81691681478e-02, 9.27419252653e+02, 2.44939494987e+03, 2.31941556539e+05 -2.31111111111e+01, 1.31534131910e+07, 8.70256902438e+02, 8.56168366735e-05, 2.45915551318e+05, 9.90739861032e-02, 9.25989610718e+02, 2.40961046401e+03, 2.30801148715e+05 -2.31111111111e+01, 1.36554165829e+07, 8.75096682224e+02, 8.67154070889e-05, 2.45313697793e+05, 9.99510852923e-02, 9.24755147832e+02, 2.37362514753e+03, 2.29709231612e+05 -2.31111111111e+01, 1.41574199749e+07, 8.79724537308e+02, 8.77827138335e-05, 2.44754038878e+05, 1.00802876298e-01, 9.23685900705e+02, 2.34087574162e+03, 2.28661024105e+05 -2.31111111111e+01, 1.46594233668e+07, 8.84161135438e+02, 8.88217186114e-05, 2.44232498610e+05, 1.01631452036e-01, 9.22757617047e+02, 2.31090853573e+03, 2.27652462710e+05 -2.31111111111e+01, 1.51614267588e+07, 8.88424125103e+02, 8.98349602506e-05, 2.43745589318e+05, 1.02438641488e-01, 9.21950454791e+02, 2.28335353876e+03, 2.26680061345e+05 -2.31111111111e+01, 1.56634301508e+07, 8.92528706296e+02, 9.08246331403e-05, 2.43290301496e+05, 1.03226052664e-01, 9.21248023131e+02, 2.25790571244e+03, 2.25740804163e+05 -2.31111111111e+01, 1.61654335427e+07, 8.96488071384e+02, 9.17926480938e-05, 2.42864018546e+05, 1.03995107238e-01, 9.20636664694e+02, 2.23431109138e+03, 2.24832062452e+05 -2.31111111111e+01, 1.66674369347e+07, 9.00313750206e+02, 9.27406801977e-05, 2.42464449889e+05, 1.04747068670e-01, 9.20104910697e+02, 2.21235635386e+03, 2.23951529331e+05 -2.31111111111e+01, 1.71694403266e+07, 9.04015883465e+02, 9.36702068724e-05, 2.42089577865e+05, 1.05483065243e-01, 9.19643062120e+02, 2.19186087387e+03, 2.23097167841e+05 -2.31111111111e+01, 1.76714437186e+07, 9.07603441653e+02, 9.45825384721e-05, 2.41737615137e+05, 1.06204109041e-01, 9.19242863979e+02, 2.17267058632e+03, 2.22267169227e+05 -2.31111111111e+01, 1.81734471106e+07, 9.11084402110e+02, 9.54788431230e-05, 2.41406970165e+05, 1.06911111715e-01, 9.18897249277e+02, 2.15465319703e+03, 2.21459919081e+05 -2.31111111111e+01, 1.86754505025e+07, 9.14465893517e+02, 9.63601670648e-05, 2.41096218989e+05, 1.07604897645e-01, 9.18600135754e+02, 2.13769440297e+03, 2.20673969636e+05 -2.31111111111e+01, 1.91774538945e+07, 9.17754314780e+02, 9.72274514425e-05, 2.40804081972e+05, 1.08286215012e-01, 9.18346263057e+02, 2.12169488106e+03, 2.19908016886e+05 -2.31111111111e+01, 1.96794572864e+07, 9.20955433602e+02, 9.80815462735e-05, 2.40529404484e+05, 1.08955745153e-01, 9.18131061217e+02, 2.10656786783e+03, 2.19160881569e+05 -2.31111111111e+01, 2.01814606784e+07, 9.24074468790e+02, 9.89232221433e-05, 2.40271140752e+05, 1.09614110516e-01, 9.17950543567e+02, 2.09223719810e+03, 2.18431493234e+05 -2.31111111111e+01, 2.06834640704e+07, 9.27116159425e+02, 9.97531800629e-05, 2.40028340266e+05, 1.10261881451e-01, 9.17801218950e+02, 2.07863570369e+03, 2.17718876818e+05 -2.31111111111e+01, 2.11854674623e+07, 9.30084823350e+02, 1.00572059826e-04, 2.39800136267e+05, 1.10899582049e-01, 9.17680019245e+02, 2.06570389667e+03, 2.17022141260e+05 -2.31111111111e+01, 2.16874708543e+07, 9.32984406914e+02, 1.01380447133e-04, 2.39585735947e+05, 1.11527695167e-01, 9.17584239178e+02, 2.05338887971e+03, 2.16340469795e+05 -2.31111111111e+01, 2.21894742462e+07, 9.35818527486e+02, 1.02178879695e-04, 2.39384412060e+05, 1.12146666788e-01, 9.17511486041e+02, 2.04164343867e+03, 2.15673111637e+05 -2.31111111111e+01, 2.26914776382e+07, 9.38590509990e+02, 1.02967852492e-04, 2.39195495702e+05, 1.12756909812e-01, 9.17459637461e+02, 2.03042528269e+03, 2.15019374809e+05 -2.31111111111e+01, 2.31934810302e+07, 9.41303418443e+02, 1.03747822318e-04, 2.39018370077e+05, 1.13358807362e-01, 9.17426805760e+02, 2.01969640438e+03, 2.14378619944e+05 -2.31111111111e+01, 2.36954844221e+07, 9.43960083289e+02, 1.04519211731e-04, 2.38852465083e+05, 1.13952715683e-01, 9.17411307721e+02, 2.00942253838e+03, 2.13750254892e+05 -2.31111111111e+01, 2.41974878141e+07, 9.46563125204e+02, 1.05282412499e-04, 2.38697252589e+05, 1.14538966694e-01, 9.17411638847e+02, 1.99957270096e+03, 2.13133730020e+05 -2.31111111111e+01, 2.46994912060e+07, 9.49114975900e+02, 1.06037788614e-04, 2.38552242313e+05, 1.15117870237e-01, 9.17426451332e+02, 1.99011879679e+03, 2.12528534086e+05 -2.31111111111e+01, 2.52014945980e+07, 9.51617896376e+02, 1.06785678943e-04, 2.38416978192e+05, 1.15689716065e-01, 9.17454535156e+02, 1.98103528164e+03, 2.11934190622e+05 -2.31111111111e+01, 2.57034979899e+07, 9.54073992980e+02, 1.07526399567e-04, 2.38291035192e+05, 1.16254775617e-01, 9.17494801788e+02, 1.97229887188e+03, 2.11350254730e+05 -2.31111111111e+01, 2.62055013819e+07, 9.56485231605e+02, 1.08260245845e-04, 2.38174016477e+05, 1.16813303584e-01, 9.17546270097e+02, 1.96388829330e+03, 2.10776310254e+05 -2.31111111111e+01, 2.67075047739e+07, 9.58853450266e+02, 1.08987494249e-04, 2.38065550907e+05, 1.17365539319e-01, 9.17608054126e+02, 1.95578406314e+03, 2.10211967269e+05 -2.31111111111e+01, 2.72095081658e+07, 9.61180370269e+02, 1.09708403998e-04, 2.37965290810e+05, 1.17911708096e-01, 9.17679352458e+02, 1.94796830036e+03, 2.09656859836e+05 -2.31111111111e+01, 2.77115115578e+07, 9.63467606182e+02, 1.10423218511e-04, 2.37872909993e+05, 1.18452022236e-01, 9.17759438927e+02, 1.94042455979e+03, 2.09110644008e+05 -2.31111111111e+01, 2.82135149497e+07, 9.65716674736e+02, 1.11132166717e-04, 2.37788101962e+05, 1.18986682127e-01, 9.17847654500e+02, 1.93313768683e+03, 2.08572996033e+05 -2.31111111111e+01, 2.87155183417e+07, 9.67929002802e+02, 1.11835464215e-04, 2.37710578328e+05, 1.19515877137e-01, 9.17943400147e+02, 1.92609368970e+03, 2.08043610752e+05 -2.31111111111e+01, 2.92175217337e+07, 9.70105934564e+02, 1.12533314336e-04, 2.37640067371e+05, 1.20039786443e-01, 9.18046130568e+02, 1.91927962678e+03, 2.07522200143e+05 -2.31111111111e+01, 2.97195251256e+07, 9.72248737971e+02, 1.13225909083e-04, 2.37576312750e+05, 1.20558579783e-01, 9.18155348673e+02, 1.91268350711e+03, 2.07008492021e+05 -2.31111111111e+01, 3.02215285176e+07, 9.74358610565e+02, 1.13913429991e-04, 2.37519072334e+05, 1.21072418134e-01, 9.18270600689e+02, 1.90629420202e+03, 2.06502228853e+05 -2.31111111111e+01, 3.07235319095e+07, 9.76436684755e+02, 1.14596048904e-04, 2.37468117143e+05, 1.21581454335e-01, 9.18391471842e+02, 1.90010136679e+03, 2.06003166687e+05 -2.31111111111e+01, 3.12255353015e+07, 9.78484032591e+02, 1.15273928674e-04, 2.37423230395e+05, 1.22085833644e-01, 9.18517582514e+02, 1.89409537067e+03, 2.05511074180e+05 -2.31111111111e+01, 3.17275386935e+07, 9.80501670104e+02, 1.15947223804e-04, 2.37384206625e+05, 1.22585694262e-01, 9.18648584837e+02, 1.88826723453e+03, 2.05025731713e+05 -2.31111111111e+01, 3.22295420854e+07, 9.82490561259e+02, 1.16616081032e-04, 2.37350850900e+05, 1.23081167797e-01, 9.18784159646e+02, 1.88260857497e+03, 2.04546930582e+05 -2.31111111111e+01, 3.27315454774e+07, 9.84451621556e+02, 1.17280639858e-04, 2.37322978092e+05, 1.23572379700e-01, 9.18924013776e+02, 1.87711155423e+03, 2.04074472263e+05 -2.31111111111e+01, 3.32335488693e+07, 9.86385721317e+02, 1.17941033033e-04, 2.37300412213e+05, 1.24059449655e-01, 9.19067877630e+02, 1.87176883515e+03, 2.03608167738e+05 -2.31111111111e+01, 3.37355522613e+07, 9.88293688700e+02, 1.18597387005e-04, 2.37282985812e+05, 1.24542491950e-01, 9.19215503015e+02, 1.86657354059e+03, 2.03147836871e+05 -2.31111111111e+01, 3.42375556533e+07, 9.90176312455e+02, 1.19249822324e-04, 2.37270539420e+05, 1.25021615807e-01, 9.19366661192e+02, 1.86151921684e+03, 2.02693307848e+05 -2.31111111111e+01, 3.47395590452e+07, 9.92034344458e+02, 1.19898454019e-04, 2.37262921036e+05, 1.25496925689e-01, 9.19521141130e+02, 1.85659980052e+03, 2.02244416648e+05 -2.31111111111e+01, 3.52415624372e+07, 9.93868502040e+02, 1.20543391942e-04, 2.37259985662e+05, 1.25968521591e-01, 9.19678747933e+02, 1.85180958859e+03, 2.01801006566e+05 -2.31111111111e+01, 3.57435658291e+07, 9.95679470134e+02, 1.21184741087e-04, 2.37261594863e+05, 1.26436499297e-01, 9.19839301427e+02, 1.84714321113e+03, 2.01362927771e+05 -2.31111111111e+01, 3.62455692211e+07, 9.97467903246e+02, 1.21822601882e-04, 2.37267616377e+05, 1.26900950628e-01, 9.20002634880e+02, 1.84259560663e+03, 2.00930036889e+05 -2.31111111111e+01, 3.67475726131e+07, 9.99234427289e+02, 1.22457070461e-04, 2.37277923739e+05, 1.27361963665e-01, 9.20168593848e+02, 1.83816199949e+03, 2.00502196633e+05 -2.31111111111e+01, 3.72495760050e+07, 1.00097964127e+03, 1.23088238915e-04, 2.37292395943e+05, 1.27819622959e-01, 9.20337035138e+02, 1.83383787945e+03, 2.00079275446e+05 -2.31111111111e+01, 3.77515793970e+07, 1.00270411883e+03, 1.23716195521e-04, 2.37310917123e+05, 1.28274009728e-01, 9.20507825857e+02, 1.82961898286e+03, 1.99661147179e+05 -2.31111111111e+01, 3.82535827889e+07, 1.00440840976e+03, 1.24341024962e-04, 2.37333376266e+05, 1.28725202036e-01, 9.20680842562e+02, 1.82550127554e+03, 1.99247690785e+05 -2.31111111111e+01, 3.87555861809e+07, 1.00609304126e+03, 1.24962808525e-04, 2.37359666932e+05, 1.29173274960e-01, 9.20855970480e+02, 1.82148093707e+03, 1.98838790043e+05 -2.31111111111e+01, 3.92575895729e+07, 1.00775851924e+03, 1.25581624287e-04, 2.37389687006e+05, 1.29618300751e-01, 9.21033102805e+02, 1.81755434635e+03, 1.98434333294e+05 -2.31111111111e+01, 3.97595929648e+07, 1.00940532948e+03, 1.26197547288e-04, 2.37423338460e+05, 1.30060348979e-01, 9.21212140056e+02, 1.81371806840e+03, 1.98034213196e+05 -2.31111111111e+01, 4.02615963568e+07, 1.01103393871e+03, 1.26810649692e-04, 2.37460527136e+05, 1.30499486669e-01, 9.21392989491e+02, 1.80996884218e+03, 1.97638326500e+05 -2.31111111111e+01, 4.07635997487e+07, 1.01264479561e+03, 1.27421000940e-04, 2.37501162538e+05, 1.30935778430e-01, 9.21575564578e+02, 1.80630356935e+03, 1.97246573836e+05 -2.31111111111e+01, 4.12656031407e+07, 1.01423833177e+03, 1.28028667888e-04, 2.37545157645e+05, 1.31369286575e-01, 9.21759784510e+02, 1.80271930399e+03, 1.96858859516e+05 -2.31111111111e+01, 4.17676065327e+07, 1.01581496255e+03, 1.28633714939e-04, 2.37592428728e+05, 1.31800071236e-01, 9.21945573757e+02, 1.79921324302e+03, 1.96475091346e+05 -2.31111111111e+01, 4.22696099246e+07, 1.01737508792e+03, 1.29236204167e-04, 2.37642895184e+05, 1.32228190463e-01, 9.22132861665e+02, 1.79578271736e+03, 1.96095180455e+05 -2.31111111111e+01, 4.27716133166e+07, 1.01891909322e+03, 1.29836195430e-04, 2.37696479382e+05, 1.32653700329e-01, 9.22321582088e+02, 1.79242518385e+03, 1.95719041133e+05 -2.31111111111e+01, 4.32736167085e+07, 1.02044734990e+03, 1.30433746483e-04, 2.37753106515e+05, 1.33076655020e-01, 9.22511673043e+02, 1.78913821760e+03, 1.95346590674e+05 -2.31111111111e+01, 4.37756201005e+07, 1.02196021619e+03, 1.31028913071e-04, 2.37812704460e+05, 1.33497106926e-01, 9.22703076401e+02, 1.78591950505e+03, 1.94977749236e+05 -2.31111111111e+01, 4.42776234925e+07, 1.02345803772e+03, 1.31621749032e-04, 2.37875203651e+05, 1.33915106716e-01, 9.22895737606e+02, 1.78276683742e+03, 1.94612439707e+05 -2.31111111111e+01, 4.47796268844e+07, 1.02494114813e+03, 1.32212306384e-04, 2.37940536960e+05, 1.34330703424e-01, 9.23089605408e+02, 1.77967810471e+03, 1.94250587575e+05 -2.31111111111e+01, 4.52816302764e+07, 1.02640986965e+03, 1.32800635407e-04, 2.38008639576e+05, 1.34743944516e-01, 9.23284631628e+02, 1.77665129002e+03, 1.93892120809e+05 -2.31111111111e+01, 4.57836336683e+07, 1.02786451359e+03, 1.33386784724e-04, 2.38079448904e+05, 1.35154875961e-01, 9.23480770931e+02, 1.77368446438e+03, 1.93536969752e+05 -2.31111111111e+01, 4.62856370603e+07, 1.02930538089e+03, 1.33970801377e-04, 2.38152904461e+05, 1.35563542299e-01, 9.23677980631e+02, 1.77077578179e+03, 1.93185067006e+05 -2.31111111111e+01, 4.67876404523e+07, 1.03073276253e+03, 1.34552730893e-04, 2.38228947781e+05, 1.35969986695e-01, 9.23876220496e+02, 1.76792347477e+03, 1.92836347339e+05 -2.31111111111e+01, 4.72896438442e+07, 1.03214694003e+03, 1.35132617357e-04, 2.38307522325e+05, 1.36374251006e-01, 9.24075452580e+02, 1.76512585003e+03, 1.92490747590e+05 -2.31111111111e+01, 4.77916472362e+07, 1.03354818580e+03, 1.35710503469e-04, 2.38388573393e+05, 1.36776375829e-01, 9.24275641063e+02, 1.76238128453e+03, 1.92148206575e+05 -2.31111111111e+01, 4.82936506281e+07, 1.03493676362e+03, 1.36286430605e-04, 2.38472048051e+05, 1.37176400556e-01, 9.24476752108e+02, 1.75968822178e+03, 1.91808665006e+05 -2.31111111111e+01, 4.87956540201e+07, 1.03631292895e+03, 1.36860438875e-04, 2.38557895048e+05, 1.37574363424e-01, 9.24678753719e+02, 1.75704516834e+03, 1.91472065413e+05 -2.31111111111e+01, 4.92976574121e+07, 1.03767692929e+03, 1.37432567173e-04, 2.38646064745e+05, 1.37970301561e-01, 9.24881615622e+02, 1.75445069060e+03, 1.91138352064e+05 -2.31111111111e+01, 4.97996608040e+07, 1.03902900454e+03, 1.38002853229e-04, 2.38736509053e+05, 1.38364251030e-01, 9.25085309146e+02, 1.75190341170e+03, 1.90807470897e+05 -2.31111111111e+01, 5.03016641960e+07, 1.04036938731e+03, 1.38571333658e-04, 2.38829181361e+05, 1.38756246869e-01, 9.25289807119e+02, 1.74940200866e+03, 1.90479369448e+05 -2.31111111111e+01, 5.08036675879e+07, 1.04169830319e+03, 1.39138044002e-04, 2.38924036479e+05, 1.39146323136e-01, 9.25495083767e+02, 1.74694520973e+03, 1.90153996792e+05 -2.31111111111e+01, 5.13056709799e+07, 1.04301597108e+03, 1.39703018775e-04, 2.39021030579e+05, 1.39534512942e-01, 9.25701114623e+02, 1.74453179184e+03, 1.89831303478e+05 -2.31111111111e+01, 5.18076743719e+07, 1.04432260341e+03, 1.40266291502e-04, 2.39120121143e+05, 1.39920848493e-01, 9.25907876443e+02, 1.74216057823e+03, 1.89511241470e+05 -2.31111111111e+01, 5.23096777638e+07, 1.04561840645e+03, 1.40827894760e-04, 2.39221266904e+05, 1.40305361115e-01, 9.26115347127e+02, 1.73983043622e+03, 1.89193764097e+05 -2.31111111111e+01, 5.28116811558e+07, 1.04690358050e+03, 1.41387860214e-04, 2.39324427805e+05, 1.40688081298e-01, 9.26323505645e+02, 1.73754027509e+03, 1.88878825995e+05 -2.31111111111e+01, 5.33136845477e+07, 1.04817832018e+03, 1.41946218649e-04, 2.39429564944e+05, 1.41069038717e-01, 9.26532331971e+02, 1.73528904414e+03, 1.88566383058e+05 -2.31111111111e+01, 5.38156879397e+07, 1.04944281458e+03, 1.42503000007e-04, 2.39536640534e+05, 1.41448262269e-01, 9.26741807020e+02, 1.73307573077e+03, 1.88256392395e+05 -2.31111111111e+01, 5.43176913317e+07, 1.05069724754e+03, 1.43058233418e-04, 2.39645617861e+05, 1.41825780098e-01, 9.26951912587e+02, 1.73089935875e+03, 1.87948812279e+05 -2.31111111111e+01, 5.48196947236e+07, 1.05194179779e+03, 1.43611947227e-04, 2.39756461240e+05, 1.42201619621e-01, 9.27162631295e+02, 1.72875898658e+03, 1.87643602107e+05 -2.31111111111e+01, 5.53216981156e+07, 1.05317663918e+03, 1.44164169027e-04, 2.39869135976e+05, 1.42575807557e-01, 9.27373946547e+02, 1.72665370584e+03, 1.87340722358e+05 -2.31111111111e+01, 5.58237015075e+07, 1.05440194085e+03, 1.44714925684e-04, 2.39983608332e+05, 1.42948369948e-01, 9.27585842472e+02, 1.72458263978e+03, 1.87040134554e+05 -2.31111111111e+01, 5.63257048995e+07, 1.05561786739e+03, 1.45264243363e-04, 2.40099845491e+05, 1.43319332187e-01, 9.27798303888e+02, 1.72254494190e+03, 1.86741801222e+05 -2.31111111111e+01, 5.68277082915e+07, 1.05682457901e+03, 1.45812147553e-04, 2.40217815520e+05, 1.43688719036e-01, 9.28011316257e+02, 1.72053979460e+03, 1.86445685859e+05 -2.31111111111e+01, 5.73297116834e+07, 1.05802223172e+03, 1.46358663093e-04, 2.40337487342e+05, 1.44056554648e-01, 9.28224865649e+02, 1.71856640792e+03, 1.86151752898e+05 -2.31111111111e+01, 5.78317150754e+07, 1.05921097745e+03, 1.46903814192e-04, 2.40458830703e+05, 1.44422862591e-01, 9.28438938707e+02, 1.71662401839e+03, 1.85859967675e+05 -2.31111111111e+01, 5.83337184673e+07, 1.06039096419e+03, 1.47447624452e-04, 2.40581816145e+05, 1.44787665865e-01, 9.28653522613e+02, 1.71471188785e+03, 1.85570296397e+05 -2.31111111111e+01, 5.88357218593e+07, 1.06156233617e+03, 1.47990116887e-04, 2.40706414975e+05, 1.45150986920e-01, 9.28868605054e+02, 1.71282930243e+03, 1.85282706113e+05 -2.31111111111e+01, 5.93377252513e+07, 1.06272523395e+03, 1.48531313946e-04, 2.40832599243e+05, 1.45512847678e-01, 9.29084174200e+02, 1.71097557147e+03, 1.84997164687e+05 -2.31111111111e+01, 5.98397286432e+07, 1.06387979454e+03, 1.49071237530e-04, 2.40960341710e+05, 1.45873269543e-01, 9.29300218672e+02, 1.70915002661e+03, 1.84713640767e+05 -2.31111111111e+01, 6.03417320352e+07, 1.06502615156e+03, 1.49609909011e-04, 2.41089615830e+05, 1.46232273427e-01, 9.29516727518e+02, 1.70735202088e+03, 1.84432103762e+05 -2.31111111111e+01, 6.08437354271e+07, 1.06616443533e+03, 1.50147349249e-04, 2.41220395723e+05, 1.46589879758e-01, 9.29733690189e+02, 1.70558092777e+03, 1.84152523816e+05 -2.31111111111e+01, 6.13457388191e+07, 1.06729477297e+03, 1.50683578608e-04, 2.41352656153e+05, 1.46946108499e-01, 9.29951096519e+02, 1.70383614046e+03, 1.83874871784e+05 -2.31111111111e+01, 6.18477422111e+07, 1.06841728852e+03, 1.51218616974e-04, 2.41486372508e+05, 1.47300979162e-01, 9.30168936702e+02, 1.70211707100e+03, 1.83599119208e+05 -2.31111111111e+01, 6.23497456030e+07, 1.06953210305e+03, 1.51752483767e-04, 2.41621520778e+05, 1.47654510821e-01, 9.30387201274e+02, 1.70042314958e+03, 1.83325238296e+05 -2.31111111111e+01, 6.28517489950e+07, 1.07063933473e+03, 1.52285197962e-04, 2.41758077535e+05, 1.48006722127e-01, 9.30605881093e+02, 1.69875382382e+03, 1.83053201901e+05 -2.31111111111e+01, 6.33537523869e+07, 1.07173909895e+03, 1.52816778095e-04, 2.41896019918e+05, 1.48357631320e-01, 9.30824967327e+02, 1.69710855808e+03, 1.82782983499e+05 -2.31111111111e+01, 6.38557557789e+07, 1.07283150838e+03, 1.53347242282e-04, 2.42035325608e+05, 1.48707256243e-01, 9.31044451432e+02, 1.69548683280e+03, 1.82514557174e+05 -2.31111111111e+01, 6.43577591709e+07, 1.07391667309e+03, 1.53876608233e-04, 2.42175972817e+05, 1.49055614350e-01, 9.31264325140e+02, 1.69388814392e+03, 1.82247897591e+05 -2.31111111111e+01, 6.48597625628e+07, 1.07499470060e+03, 1.54404893258e-04, 2.42317940269e+05, 1.49402722723e-01, 9.31484580445e+02, 1.69231200226e+03, 1.81982979988e+05 -2.31111111111e+01, 6.53617659548e+07, 1.07606569598e+03, 1.54932114287e-04, 2.42461207181e+05, 1.49748598078e-01, 9.31705209591e+02, 1.69075793298e+03, 1.81719780148e+05 -2.31111111111e+01, 6.58637693467e+07, 1.07712976192e+03, 1.55458287876e-04, 2.42605753254e+05, 1.50093256778e-01, 9.31926205056e+02, 1.68922547504e+03, 1.81458274393e+05 -2.31111111111e+01, 6.63657727387e+07, 1.07818699880e+03, 1.55983430221e-04, 2.42751558651e+05, 1.50436714846e-01, 9.32147559545e+02, 1.68771418067e+03, 1.81198439561e+05 -2.31111111111e+01, 6.68677761307e+07, 1.07923750476e+03, 1.56507557167e-04, 2.42898603989e+05, 1.50778987968e-01, 9.32369265975e+02, 1.68622361492e+03, 1.80940252991e+05 -2.31111111111e+01, 6.73697795226e+07, 1.08028137577e+03, 1.57030684220e-04, 2.43046870322e+05, 1.51120091509e-01, 9.32591317467e+02, 1.68475335515e+03, 1.80683692511e+05 -2.31111111111e+01, 6.78717829146e+07, 1.08131870569e+03, 1.57552826554e-04, 2.43196339127e+05, 1.51460040520e-01, 9.32813707336e+02, 1.68330299062e+03, 1.80428736423e+05 -2.31111111111e+01, 6.83737863065e+07, 1.08234958634e+03, 1.58073999025e-04, 2.43346992294e+05, 1.51798849744e-01, 9.33036429082e+02, 1.68187212205e+03, 1.80175363488e+05 -2.31111111111e+01, 6.88757896985e+07, 1.08337410756e+03, 1.58594216177e-04, 2.43498812112e+05, 1.52136533630e-01, 9.33259476381e+02, 1.68046036122e+03, 1.79923552912e+05 -2.31111111111e+01, 6.93777930905e+07, 1.08439235726e+03, 1.59113492250e-04, 2.43651781258e+05, 1.52473106337e-01, 9.33482843078e+02, 1.67906733055e+03, 1.79673284336e+05 -2.31111111111e+01, 6.98797964824e+07, 1.08540442146e+03, 1.59631841193e-04, 2.43805882786e+05, 1.52808581742e-01, 9.33706523177e+02, 1.67769266278e+03, 1.79424537823e+05 -2.31111111111e+01, 7.03817998744e+07, 1.08641038440e+03, 1.60149276666e-04, 2.43961100114e+05, 1.53142973450e-01, 9.33930510837e+02, 1.67633600056e+03, 1.79177293843e+05 -2.31111111111e+01, 7.08838032663e+07, 1.08741032853e+03, 1.60665812055e-04, 2.44117417017e+05, 1.53476294802e-01, 9.34154800362e+02, 1.67499699614e+03, 1.78931533266e+05 -2.31111111111e+01, 7.13858066583e+07, 1.08840433460e+03, 1.61181460475e-04, 2.44274817614e+05, 1.53808558876e-01, 9.34379386197e+02, 1.67367531103e+03, 1.78687237348e+05 -2.31111111111e+01, 7.18878100503e+07, 1.08939248167e+03, 1.61696234775e-04, 2.44433286359e+05, 1.54139778503e-01, 9.34604262923e+02, 1.67237061569e+03, 1.78444387721e+05 -2.31111111111e+01, 7.23898134422e+07, 1.09037484720e+03, 1.62210147555e-04, 2.44592808031e+05, 1.54469966265e-01, 9.34829425248e+02, 1.67108258922e+03, 1.78202966384e+05 -2.31111111111e+01, 7.28918168342e+07, 1.09135150707e+03, 1.62723211160e-04, 2.44753367728e+05, 1.54799134508e-01, 9.35054868002e+02, 1.66981091909e+03, 1.77962955691e+05 -2.31111111111e+01, 7.33938202261e+07, 1.09232253563e+03, 1.63235437698e-04, 2.44914950852e+05, 1.55127295344e-01, 9.35280586136e+02, 1.66855530084e+03, 1.77724338343e+05 -2.31111111111e+01, 7.38958236181e+07, 1.09328800572e+03, 1.63746839039e-04, 2.45077543109e+05, 1.55454460659e-01, 9.35506574713e+02, 1.66731543783e+03, 1.77487097378e+05 -2.31111111111e+01, 7.43978270101e+07, 1.09424798875e+03, 1.64257426824e-04, 2.45241130492e+05, 1.55780642118e-01, 9.35732828903e+02, 1.66609104096e+03, 1.77251216163e+05 -2.31111111111e+01, 7.48998304020e+07, 1.09520255472e+03, 1.64767212473e-04, 2.45405699280e+05, 1.56105851172e-01, 9.35959343983e+02, 1.66488182848e+03, 1.77016678382e+05 -2.31111111111e+01, 7.54018337940e+07, 1.09615177223e+03, 1.65276207186e-04, 2.45571236027e+05, 1.56430099062e-01, 9.36186115331e+02, 1.66368752567e+03, 1.76783468033e+05 -2.31111111111e+01, 7.59038371859e+07, 1.09709570858e+03, 1.65784421953e-04, 2.45737727554e+05, 1.56753396823e-01, 9.36413138420e+02, 1.66250786469e+03, 1.76551569417e+05 -2.31111111111e+01, 7.64058405779e+07, 1.09803442974e+03, 1.66291867557e-04, 2.45905160945e+05, 1.57075755294e-01, 9.36640408815e+02, 1.66134258434e+03, 1.76320967128e+05 -2.31111111111e+01, 7.69078439698e+07, 1.09896800042e+03, 1.66798554580e-04, 2.46073523538e+05, 1.57397185117e-01, 9.36867922172e+02, 1.66019142981e+03, 1.76091646049e+05 -2.31111111111e+01, 7.74098473618e+07, 1.09989648410e+03, 1.67304493408e-04, 2.46242802917e+05, 1.57717696745e-01, 9.37095674234e+02, 1.65905415254e+03, 1.75863591345e+05 -2.31111111111e+01, 7.79118507538e+07, 1.10081994303e+03, 1.67809694236e-04, 2.46412986909e+05, 1.58037300446e-01, 9.37323660826e+02, 1.65793050999e+03, 1.75636788452e+05 -2.31111111111e+01, 7.84138541457e+07, 1.10173843833e+03, 1.68314167073e-04, 2.46584063575e+05, 1.58356006310e-01, 9.37551877853e+02, 1.65682026547e+03, 1.75411223073e+05 -2.31111111111e+01, 7.89158575377e+07, 1.10265202994e+03, 1.68817921746e-04, 2.46756021204e+05, 1.58673824246e-01, 9.37780321298e+02, 1.65572318792e+03, 1.75186881172e+05 -2.31111111111e+01, 7.94178609296e+07, 1.10356077671e+03, 1.69320967906e-04, 2.46928848310e+05, 1.58990763997e-01, 9.38008987218e+02, 1.65463905181e+03, 1.74963748964e+05 -2.31111111111e+01, 7.99198643216e+07, 1.10446473638e+03, 1.69823315029e-04, 2.47102533623e+05, 1.59306835133e-01, 9.38237871742e+02, 1.65356763691e+03, 1.74741812915e+05 -2.31111111111e+01, 8.04218677136e+07, 1.10536396565e+03, 1.70324972425e-04, 2.47277066086e+05, 1.59622047063e-01, 9.38466971070e+02, 1.65250872816e+03, 1.74521059727e+05 -2.31111111111e+01, 8.09238711055e+07, 1.10625852019e+03, 1.70825949237e-04, 2.47452434847e+05, 1.59936409036e-01, 9.38696281467e+02, 1.65146211550e+03, 1.74301476342e+05 -2.31111111111e+01, 8.14258744975e+07, 1.10714845463e+03, 1.71326254449e-04, 2.47628629257e+05, 1.60249930143e-01, 9.38925799267e+02, 1.65042759375e+03, 1.74083049930e+05 -2.31111111111e+01, 8.19278778894e+07, 1.10803382266e+03, 1.71825896888e-04, 2.47805638863e+05, 1.60562619325e-01, 9.39155520864e+02, 1.64940496243e+03, 1.73865767883e+05 -2.31111111111e+01, 8.24298812814e+07, 1.10891467698e+03, 1.72324885227e-04, 2.47983453403e+05, 1.60874485371e-01, 9.39385442714e+02, 1.64839402564e+03, 1.73649617813e+05 -2.31111111111e+01, 8.29318846734e+07, 1.10979106937e+03, 1.72823227991e-04, 2.48162062803e+05, 1.61185536927e-01, 9.39615561333e+02, 1.64739459192e+03, 1.73434587548e+05 -2.31111111111e+01, 8.34338880653e+07, 1.11066305068e+03, 1.73320933558e-04, 2.48341457170e+05, 1.61495782493e-01, 9.39845873293e+02, 1.64640647415e+03, 1.73220665122e+05 -2.31111111111e+01, 8.39358914573e+07, 1.11153067088e+03, 1.73818010163e-04, 2.48521626791e+05, 1.61805230434e-01, 9.40076375224e+02, 1.64542948938e+03, 1.73007838772e+05 -2.31111111111e+01, 8.44378948492e+07, 1.11239397908e+03, 1.74314465903e-04, 2.48702562126e+05, 1.62113888976e-01, 9.40307063808e+02, 1.64446345873e+03, 1.72796096937e+05 -2.31111111111e+01, 8.49398982412e+07, 1.11325302350e+03, 1.74810308738e-04, 2.48884253804e+05, 1.62423189511e-01, 9.40537935781e+02, 1.64350820729e+03, 1.72585428247e+05 -2.31111111111e+01, 8.54419016332e+07, 1.11410785158e+03, 1.75305546496e-04, 2.49066692620e+05, 1.62731917666e-01, 9.40768987930e+02, 1.64256356399e+03, 1.72375821523e+05 -2.31111111111e+01, 8.59439050251e+07, 1.11495850991e+03, 1.75800186872e-04, 2.49249869531e+05, 1.63039863983e-01, 9.41000217091e+02, 1.64162936150e+03, 1.72167265774e+05 -2.31111111111e+01, 8.64459084171e+07, 1.11580504431e+03, 1.76294237439e-04, 2.49433775652e+05, 1.63347036461e-01, 9.41231620148e+02, 1.64070543611e+03, 1.71959750187e+05 -2.31111111111e+01, 8.69479118090e+07, 1.11664749981e+03, 1.76787705641e-04, 2.49618402252e+05, 1.63653442973e-01, 9.41463194034e+02, 1.63979162767e+03, 1.71753264128e+05 -2.31111111111e+01, 8.74499152010e+07, 1.11748592069e+03, 1.77280598803e-04, 2.49803740751e+05, 1.63959091265e-01, 9.41694935724e+02, 1.63888777944e+03, 1.71547797135e+05 -2.31111111111e+01, 8.79519185930e+07, 1.11832035049e+03, 1.77772924131e-04, 2.49989782717e+05, 1.64263988964e-01, 9.41926842242e+02, 1.63799373803e+03, 1.71343338919e+05 -2.31111111111e+01, 8.84539219849e+07, 1.11915083202e+03, 1.78264688715e-04, 2.50176519860e+05, 1.64568143575e-01, 9.42158910653e+02, 1.63710935331e+03, 1.71139879351e+05 -2.31111111111e+01, 8.89559253769e+07, 1.11997740741e+03, 1.78755899529e-04, 2.50363944031e+05, 1.64871562487e-01, 9.42391138064e+02, 1.63623447828e+03, 1.70937408470e+05 -2.31111111111e+01, 8.94579287688e+07, 1.12080011805e+03, 1.79246563440e-04, 2.50552047221e+05, 1.65174252976e-01, 9.42623521623e+02, 1.63536896906e+03, 1.70735916470e+05 -2.31111111111e+01, 8.99599321608e+07, 1.12161900471e+03, 1.79736687202e-04, 2.50740821553e+05, 1.65476222203e-01, 9.42856058521e+02, 1.63451268475e+03, 1.70535393700e+05 -2.31111111111e+01, 9.04619355528e+07, 1.12243410745e+03, 1.80226277466e-04, 2.50930259282e+05, 1.65777477223e-01, 9.43088745985e+02, 1.63366548734e+03, 1.70335830663e+05 -2.31111111111e+01, 9.09639389447e+07, 1.12324546572e+03, 1.80715340776e-04, 2.51120352791e+05, 1.66078024981e-01, 9.43321581283e+02, 1.63282724170e+03, 1.70137218008e+05 -2.31111111111e+01, 9.14659423367e+07, 1.12405311832e+03, 1.81203883576e-04, 2.51311094590e+05, 1.66377872319e-01, 9.43554561717e+02, 1.63199781544e+03, 1.69939546532e+05 -2.31111111111e+01, 9.19679457286e+07, 1.12485710343e+03, 1.81691912210e-04, 2.51502477310e+05, 1.66677025974e-01, 9.43787684630e+02, 1.63117707886e+03, 1.69742807172e+05 -2.31111111111e+01, 9.24699491206e+07, 1.12565745863e+03, 1.82179432922e-04, 2.51694493705e+05, 1.66975492585e-01, 9.44020947396e+02, 1.63036490490e+03, 1.69546991006e+05 -2.31111111111e+01, 9.29719525126e+07, 1.12645422090e+03, 1.82666451865e-04, 2.51887136643e+05, 1.67273278688e-01, 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9.67003574600e-02, 9.30258971450e+02, 1.49161514723e+03, 4.08552813070e+05 -2.00000000000e+02, 9.59839728643e+07, 7.98330658991e+02, 7.84314644805e-05, 5.28445786484e+05, 9.69608546683e-02, 9.30473111659e+02, 1.49099416342e+03, 4.08214937545e+05 -2.00000000000e+02, 9.64859762563e+07, 7.99912568257e+02, 7.87031350146e-05, 5.28499908947e+05, 9.72207187678e-02, 9.30687351395e+02, 1.49037950888e+03, 4.07879256034e+05 -2.00000000000e+02, 9.69879796482e+07, 8.01484149673e+02, 7.89741785378e-05, 5.28556219319e+05, 9.74799581652e-02, 9.30901689912e+02, 1.48977113405e+03, 4.07545741834e+05 -2.00000000000e+02, 9.74899830402e+07, 8.03045535670e+02, 7.92446017879e-05, 5.28614686261e+05, 9.77385811256e-02, 9.31116126406e+02, 1.48916898812e+03, 4.07214368707e+05 -2.00000000000e+02, 9.79919864322e+07, 8.04596856334e+02, 7.95144114312e-05, 5.28675279027e+05, 9.79965957750e-02, 9.31330660025e+02, 1.48857301906e+03, 4.06885110869e+05 -2.00000000000e+02, 9.84939898241e+07, 8.06138239454e+02, 7.97836140618e-05, 5.28737967452e+05, 9.82540101024e-02, 9.31545289869e+02, 1.48798317382e+03, 4.06557942980e+05 -2.00000000000e+02, 9.89959932161e+07, 8.07669810570e+02, 8.00522162022e-05, 5.28802721936e+05, 9.85108319626e-02, 9.31760014994e+02, 1.48739939838e+03, 4.06232840135e+05 -2.00000000000e+02, 9.94979966080e+07, 8.09191693017e+02, 8.03202243030e-05, 5.28869513439e+05, 9.87670690782e-02, 9.31974834412e+02, 1.48682163788e+03, 4.05909777857e+05 -2.00000000000e+02, 1.00000000000e+08, 8.10704007974e+02, 8.05876447432e-05, 5.28938313459e+05, 9.90227290422e-02, 9.32189747098e+02, 1.48624983668e+03, 4.05588732088e+05 diff --git a/src/CO2Properties/tables/h2ovalues.csv b/src/CO2Properties/tables/h2ovalues.csv deleted file mode 100644 index 23aa60a9..00000000 --- a/src/CO2Properties/tables/h2ovalues.csv +++ /dev/null @@ -1,20008 +0,0 @@ -# This autogenerated file contains thermodynamical properties of H2O. -# The data has been obtained by querying the NIST Chemistry WebBook https://doi.org/10.18434/T4D303. -# -# Concerning temperature and pressure ranges, the following parameters have been used: -# min temperature = 1.0, max temperature = 200.0, #temperature sampling points = 100 -# min pressure = 101325.0, max pressure = 100000000.0, #pressure sampling points = 200 -# -# temperature [°C], pressure [Pa], density [kg/m3], viscosity [Pa.s], enthalpy [J/kg], thermal_conductivity [W/m.K], cv [J/kg.K], cp [J/kg.K], internal energy [J/kg.K] -1.00000000000e+00, 1.01325000000e+05, 9.99901837560e+02, 1.73102128553e-03, 2.04183222210e+05, 5.58183414078e-01, 4.21476379226e+03, 4.21611347097e+03, 2.04081887262e+05 -1.00000000000e+00, 6.03328391960e+05, 1.00015522089e+03, 1.72999404733e-03, 2.04691946756e+05, 5.58558722385e-01, 4.21244536595e+03, 4.21369867517e+03, 2.04088711999e+05 -1.00000000000e+00, 1.10533178392e+06, 1.00040830960e+03, 1.72897176518e-03, 2.05200289621e+05, 5.58933179902e-01, 4.21013567871e+03, 4.21129638371e+03, 2.04095408970e+05 -1.00000000000e+00, 1.60733517588e+06, 1.00066110417e+03, 1.72795442919e-03, 2.05708251976e+05, 5.59306788388e-01, 4.20783468383e+03, 4.20890652665e+03, 2.04101978714e+05 -1.00000000000e+00, 2.10933856784e+06, 1.00091360508e+03, 1.72694202948e-03, 2.06215834991e+05, 5.59679549600e-01, 4.20554233488e+03, 4.20652903435e+03, 2.04108421766e+05 -1.00000000000e+00, 2.61134195980e+06, 1.00116581282e+03, 1.72593455616e-03, 2.06723039830e+05, 5.60051465289e-01, 4.20325858560e+03, 4.20416383749e+03, 2.04114738661e+05 -1.00000000000e+00, 3.11334535176e+06, 1.00141772786e+03, 1.72493199934e-03, 2.07229867658e+05, 5.60422537208e-01, 4.20098338995e+03, 4.20181086702e+03, 2.04120929933e+05 -1.00000000000e+00, 3.61534874372e+06, 1.00166935068e+03, 1.72393434914e-03, 2.07736319631e+05, 5.60792767105e-01, 4.19871670214e+03, 4.19947005423e+03, 2.04126996113e+05 -1.00000000000e+00, 4.11735213568e+06, 1.00192068174e+03, 1.72294159566e-03, 2.08242396905e+05, 5.61162156726e-01, 4.19645847656e+03, 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-2.31111111111e+01, 1.96794572864e+07, 1.00621515956e+03, 9.26590397919e-04, 3.15015607201e+05, 6.14279897575e-01, 4.08110950506e+03, 4.12795202537e+03, 2.95457705395e+05 -2.31111111111e+01, 2.01814606784e+07, 1.00643363226e+03, 9.26529635535e-04, 3.15475634672e+05, 6.14550156460e-01, 4.07956377978e+03, 4.12666368036e+03, 2.95423184087e+05 -2.31111111111e+01, 2.06834640704e+07, 1.00665188018e+03, 9.26469818894e-04, 3.15935476071e+05, 6.14819968250e-01, 4.07802239267e+03, 4.12538019930e+03, 2.95388686781e+05 -2.31111111111e+01, 2.11854674623e+07, 1.00686990370e+03, 9.26410947436e-04, 3.16395131739e+05, 6.15089333856e-01, 4.07648532928e+03, 4.12410156484e+03, 2.95354213360e+05 -2.31111111111e+01, 2.16874708543e+07, 1.00708770324e+03, 9.26353020596e-04, 3.16854602017e+05, 6.15358254185e-01, 4.07495257525e+03, 4.12282775972e+03, 2.95319763706e+05 -2.31111111111e+01, 2.21894742462e+07, 1.00730527917e+03, 9.26296037800e-04, 3.17313887246e+05, 6.15626730143e-01, 4.07342411627e+03, 4.12155876672e+03, 2.95285337704e+05 -2.31111111111e+01, 2.26914776382e+07, 1.00752263191e+03, 9.26239998473e-04, 3.17772987768e+05, 6.15894762632e-01, 4.07189993807e+03, 4.12029456868e+03, 2.95250935240e+05 -2.31111111111e+01, 2.31934810302e+07, 1.00773976182e+03, 9.26184902030e-04, 3.18231903922e+05, 6.16162352553e-01, 4.07038002649e+03, 4.11903514848e+03, 2.95216556201e+05 -2.31111111111e+01, 2.36954844221e+07, 1.00795666931e+03, 9.26130747884e-04, 3.18690636050e+05, 6.16429500806e-01, 4.06886436741e+03, 4.11778048907e+03, 2.95182200476e+05 -2.31111111111e+01, 2.41974878141e+07, 1.00817335477e+03, 9.26077535439e-04, 3.19149184492e+05, 6.16696208287e-01, 4.06735294676e+03, 4.11653057345e+03, 2.95147867953e+05 -2.31111111111e+01, 2.46994912060e+07, 1.00838981858e+03, 9.26025264098e-04, 3.19607549589e+05, 6.16962475891e-01, 4.06584575056e+03, 4.11528538467e+03, 2.95113558524e+05 -2.31111111111e+01, 2.52014945980e+07, 1.00860606112e+03, 9.25973933254e-04, 3.20065731680e+05, 6.17228304510e-01, 4.06434276487e+03, 4.11404490583e+03, 2.95079272080e+05 -2.31111111111e+01, 2.57034979899e+07, 1.00882208279e+03, 9.25923542297e-04, 3.20523731105e+05, 6.17493695035e-01, 4.06284397582e+03, 4.11280912011e+03, 2.95045008515e+05 -2.31111111111e+01, 2.62055013819e+07, 1.00903788396e+03, 9.25874090612e-04, 3.20981548204e+05, 6.17758648355e-01, 4.06134936960e+03, 4.11157801069e+03, 2.95010767723e+05 -2.31111111111e+01, 2.67075047739e+07, 1.00925346503e+03, 9.25825577577e-04, 3.21439183317e+05, 6.18023165357e-01, 4.05985893247e+03, 4.11035156086e+03, 2.94976549598e+05 -2.31111111111e+01, 2.72095081658e+07, 1.00946882635e+03, 9.25778002567e-04, 3.21896636782e+05, 6.18287246924e-01, 4.05837265073e+03, 4.10912975391e+03, 2.94942354039e+05 -2.31111111111e+01, 2.77115115578e+07, 1.00968396833e+03, 9.25731364951e-04, 3.22353908939e+05, 6.18550893939e-01, 4.05689051076e+03, 4.10791257323e+03, 2.94908180942e+05 -2.31111111111e+01, 2.82135149497e+07, 1.00989889133e+03, 9.25685664092e-04, 3.22811000127e+05, 6.18814107284e-01, 4.05541249899e+03, 4.10670000222e+03, 2.94874030206e+05 -2.31111111111e+01, 2.87155183417e+07, 1.01011359574e+03, 9.25640899348e-04, 3.23267910684e+05, 6.19076887836e-01, 4.05393860190e+03, 4.10549202437e+03, 2.94839901732e+05 -2.31111111111e+01, 2.92175217337e+07, 1.01032808192e+03, 9.25597070074e-04, 3.23724640949e+05, 6.19339236474e-01, 4.05246880605e+03, 4.10428862318e+03, 2.94805795421e+05 -2.31111111111e+01, 2.97195251256e+07, 1.01054235026e+03, 9.25554175619e-04, 3.24181191260e+05, 6.19601154070e-01, 4.05100309804e+03, 4.10308978224e+03, 2.94771711174e+05 -2.31111111111e+01, 3.02215285176e+07, 1.01075640113e+03, 9.25512215325e-04, 3.24637561955e+05, 6.19862641500e-01, 4.04954146454e+03, 4.10189548516e+03, 2.94737648896e+05 -2.31111111111e+01, 3.07235319095e+07, 1.01097023489e+03, 9.25471188533e-04, 3.25093753373e+05, 6.20123699633e-01, 4.04808389226e+03, 4.10070571561e+03, 2.94703608491e+05 -2.31111111111e+01, 3.12255353015e+07, 1.01118385193e+03, 9.25431094577e-04, 3.25549765850e+05, 6.20384329339e-01, 4.04663036800e+03, 4.09952045732e+03, 2.94669589864e+05 -2.31111111111e+01, 3.17275386935e+07, 1.01139725261e+03, 9.25391932785e-04, 3.26005599724e+05, 6.20644531485e-01, 4.04518087857e+03, 4.09833969407e+03, 2.94635592923e+05 -2.31111111111e+01, 3.22295420854e+07, 1.01161043730e+03, 9.25353702483e-04, 3.26461255333e+05, 6.20904306938e-01, 4.04373541087e+03, 4.09716340967e+03, 2.94601617574e+05 -2.31111111111e+01, 3.27315454774e+07, 1.01182340636e+03, 9.25316402991e-04, 3.26916733013e+05, 6.21163656560e-01, 4.04229395186e+03, 4.09599158800e+03, 2.94567663728e+05 -2.31111111111e+01, 3.32335488693e+07, 1.01203616017e+03, 9.25280033625e-04, 3.27372033102e+05, 6.21422581214e-01, 4.04085648852e+03, 4.09482421297e+03, 2.94533731293e+05 -2.31111111111e+01, 3.37355522613e+07, 1.01224869910e+03, 9.25244593696e-04, 3.27827155936e+05, 6.21681081761e-01, 4.03942300792e+03, 4.09366126856e+03, 2.94499820182e+05 -2.31111111111e+01, 3.42375556533e+07, 1.01246102349e+03, 9.25210082511e-04, 3.28282101850e+05, 6.21939159057e-01, 4.03799349717e+03, 4.09250273878e+03, 2.94465930305e+05 -2.31111111111e+01, 3.47395590452e+07, 1.01267313373e+03, 9.25176499371e-04, 3.28736871182e+05, 6.22196813960e-01, 4.03656794343e+03, 4.09134860770e+03, 2.94432061577e+05 -2.31111111111e+01, 3.52415624372e+07, 1.01288503017e+03, 9.25143843575e-04, 3.29191464267e+05, 6.22454047326e-01, 4.03514633392e+03, 4.09019885944e+03, 2.94398213911e+05 -2.31111111111e+01, 3.57435658291e+07, 1.01309671317e+03, 9.25112114416e-04, 3.29645881441e+05, 6.22710860006e-01, 4.03372865592e+03, 4.08905347816e+03, 2.94364387222e+05 -2.31111111111e+01, 3.62455692211e+07, 1.01330818309e+03, 9.25081311184e-04, 3.30100123040e+05, 6.22967252853e-01, 4.03231489675e+03, 4.08791244808e+03, 2.94330581428e+05 -2.31111111111e+01, 3.67475726131e+07, 1.01351944030e+03, 9.25051433163e-04, 3.30554189398e+05, 6.23223226717e-01, 4.03090504379e+03, 4.08677575344e+03, 2.94296796444e+05 -2.31111111111e+01, 3.72495760050e+07, 1.01373048515e+03, 9.25022479634e-04, 3.31008080850e+05, 6.23478782444e-01, 4.02949908447e+03, 4.08564337855e+03, 2.94263032191e+05 -2.31111111111e+01, 3.77515793970e+07, 1.01394131800e+03, 9.24994449873e-04, 3.31461797732e+05, 6.23733920882e-01, 4.02809700627e+03, 4.08451530778e+03, 2.94229288585e+05 -2.31111111111e+01, 3.82535827889e+07, 1.01415193921e+03, 9.24967343155e-04, 3.31915340378e+05, 6.23988642875e-01, 4.02669879672e+03, 4.08339152551e+03, 2.94195565549e+05 -2.31111111111e+01, 3.87555861809e+07, 1.01436234913e+03, 9.24941158746e-04, 3.32368709121e+05, 6.24242949266e-01, 4.02530444341e+03, 4.08227201620e+03, 2.94161863003e+05 -2.31111111111e+01, 3.92575895729e+07, 1.01457254811e+03, 9.24915895912e-04, 3.32821904296e+05, 6.24496840897e-01, 4.02391393398e+03, 4.08115676434e+03, 2.94128180870e+05 -2.31111111111e+01, 3.97595929648e+07, 1.01478253652e+03, 9.24891553913e-04, 3.33274926237e+05, 6.24750318606e-01, 4.02252725610e+03, 4.08004575447e+03, 2.94094519072e+05 -2.31111111111e+01, 4.02615963568e+07, 1.01499231469e+03, 9.24868132006e-04, 3.33727775278e+05, 6.25003383233e-01, 4.02114439753e+03, 4.07893897118e+03, 2.94060877535e+05 -2.31111111111e+01, 4.07635997487e+07, 1.01520188300e+03, 9.24845629443e-04, 3.34180451751e+05, 6.25256035614e-01, 4.01976534603e+03, 4.07783639909e+03, 2.94027256183e+05 -2.31111111111e+01, 4.12656031407e+07, 1.01541124178e+03, 9.24824045474e-04, 3.34632955989e+05, 6.25508276583e-01, 4.01839008945e+03, 4.07673802290e+03, 2.93993654942e+05 -2.31111111111e+01, 4.17676065327e+07, 1.01562039138e+03, 9.24803379345e-04, 3.35085288325e+05, 6.25760106973e-01, 4.01701861568e+03, 4.07564382732e+03, 2.93960073740e+05 -2.31111111111e+01, 4.22696099246e+07, 1.01582933216e+03, 9.24783630296e-04, 3.35537449092e+05, 6.26011527617e-01, 4.01565091263e+03, 4.07455379712e+03, 2.93926512504e+05 -2.31111111111e+01, 4.27716133166e+07, 1.01603806446e+03, 9.24764797565e-04, 3.35989438622e+05, 6.26262539343e-01, 4.01428696831e+03, 4.07346791713e+03, 2.93892971164e+05 -2.31111111111e+01, 4.32736167085e+07, 1.01624658864e+03, 9.24746880388e-04, 3.36441257246e+05, 6.26513142982e-01, 4.01292677073e+03, 4.07238617219e+03, 2.93859449650e+05 -2.31111111111e+01, 4.37756201005e+07, 1.01645490503e+03, 9.24729877993e-04, 3.36892905298e+05, 6.26763339358e-01, 4.01157030797e+03, 4.07130854721e+03, 2.93825947891e+05 -2.31111111111e+01, 4.42776234925e+07, 1.01666301399e+03, 9.24713789610e-04, 3.37344383106e+05, 6.27013129299e-01, 4.01021756815e+03, 4.07023502716e+03, 2.93792465821e+05 -2.31111111111e+01, 4.47796268844e+07, 1.01687091586e+03, 9.24698614461e-04, 3.37795691004e+05, 6.27262513627e-01, 4.00886853946e+03, 4.06916559701e+03, 2.93759003372e+05 -2.31111111111e+01, 4.52816302764e+07, 1.01707861098e+03, 9.24684351766e-04, 3.38246829322e+05, 6.27511493165e-01, 4.00752321010e+03, 4.06810024181e+03, 2.93725560477e+05 -2.31111111111e+01, 4.57836336683e+07, 1.01728609969e+03, 9.24671000743e-04, 3.38697798390e+05, 6.27760068733e-01, 4.00618156833e+03, 4.06703894665e+03, 2.93692137070e+05 -2.31111111111e+01, 4.62856370603e+07, 1.01749338235e+03, 9.24658560605e-04, 3.39148598539e+05, 6.28008241151e-01, 4.00484360248e+03, 4.06598169666e+03, 2.93658733088e+05 -2.31111111111e+01, 4.67876404523e+07, 1.01770045928e+03, 9.24647030562e-04, 3.39599230099e+05, 6.28256011236e-01, 4.00350930090e+03, 4.06492847700e+03, 2.93625348467e+05 -2.31111111111e+01, 4.72896438442e+07, 1.01790733084e+03, 9.24636409821e-04, 3.40049693399e+05, 6.28503379804e-01, 4.00217865198e+03, 4.06387927289e+03, 2.93591983143e+05 -2.31111111111e+01, 4.77916472362e+07, 1.01811399736e+03, 9.24626697585e-04, 3.40499988769e+05, 6.28750347671e-01, 4.00085164418e+03, 4.06283406960e+03, 2.93558637054e+05 -2.31111111111e+01, 4.82936506281e+07, 1.01832045918e+03, 9.24617893056e-04, 3.40950116538e+05, 6.28996915649e-01, 3.99952826599e+03, 4.06179285243e+03, 2.93525310140e+05 -2.31111111111e+01, 4.87956540201e+07, 1.01852671664e+03, 9.24609995431e-04, 3.41400077035e+05, 6.29243084550e-01, 3.99820850595e+03, 4.06075560673e+03, 2.93492002339e+05 -2.31111111111e+01, 4.92976574121e+07, 1.01873277008e+03, 9.24603003903e-04, 3.41849870588e+05, 6.29488855184e-01, 3.99689235262e+03, 4.05972231788e+03, 2.93458713594e+05 -2.31111111111e+01, 4.97996608040e+07, 1.01893861983e+03, 9.24596917664e-04, 3.42299497526e+05, 6.29734228360e-01, 3.99557979465e+03, 4.05869297133e+03, 2.93425443845e+05 -2.31111111111e+01, 5.03016641960e+07, 1.01914426623e+03, 9.24591735903e-04, 3.42748958177e+05, 6.29979204885e-01, 3.99427082070e+03, 4.05766755255e+03, 2.93392193033e+05 -2.31111111111e+01, 5.08036675879e+07, 1.01934970962e+03, 9.24587457804e-04, 3.43198252868e+05, 6.30223785565e-01, 3.99296541947e+03, 4.05664604705e+03, 2.93358961104e+05 -2.31111111111e+01, 5.13056709799e+07, 1.01955495033e+03, 9.24584082551e-04, 3.43647381927e+05, 6.30467971204e-01, 3.99166357973e+03, 4.05562844042e+03, 2.93325747999e+05 -2.31111111111e+01, 5.18076743719e+07, 1.01975998870e+03, 9.24581609321e-04, 3.44096345681e+05, 6.30711762606e-01, 3.99036529027e+03, 4.05461471824e+03, 2.93292553665e+05 -2.31111111111e+01, 5.23096777638e+07, 1.01996482505e+03, 9.24580037293e-04, 3.44545144456e+05, 6.30955160571e-01, 3.98907053994e+03, 4.05360486618e+03, 2.93259378046e+05 -2.31111111111e+01, 5.28116811558e+07, 1.02016945973e+03, 9.24579365639e-04, 3.44993778579e+05, 6.31198165901e-01, 3.98777931761e+03, 4.05259886991e+03, 2.93226221089e+05 -2.31111111111e+01, 5.33136845477e+07, 1.02037389306e+03, 9.24579593531e-04, 3.45442248376e+05, 6.31440779393e-01, 3.98649161221e+03, 4.05159671519e+03, 2.93193082742e+05 -2.31111111111e+01, 5.38156879397e+07, 1.02057812538e+03, 9.24580720138e-04, 3.45890554173e+05, 6.31683001845e-01, 3.98520741270e+03, 4.05059838777e+03, 2.93159962951e+05 -2.31111111111e+01, 5.43176913317e+07, 1.02078215701e+03, 9.24582744624e-04, 3.46338696295e+05, 6.31924834052e-01, 3.98392670811e+03, 4.04960387348e+03, 2.93126861666e+05 -2.31111111111e+01, 5.48196947236e+07, 1.02098598828e+03, 9.24585666153e-04, 3.46786675068e+05, 6.32166276810e-01, 3.98264948745e+03, 4.04861315818e+03, 2.93093778836e+05 -2.31111111111e+01, 5.53216981156e+07, 1.02118961954e+03, 9.24589483886e-04, 3.47234490816e+05, 6.32407330910e-01, 3.98137573985e+03, 4.04762622778e+03, 2.93060714411e+05 -2.31111111111e+01, 5.58237015075e+07, 1.02139305109e+03, 9.24594196979e-04, 3.47682143863e+05, 6.32647997146e-01, 3.98010545441e+03, 4.04664306821e+03, 2.93027668343e+05 -2.31111111111e+01, 5.63257048995e+07, 1.02159628328e+03, 9.24599804589e-04, 3.48129634535e+05, 6.32888276306e-01, 3.97883862032e+03, 4.04566366546e+03, 2.92994640584e+05 -2.31111111111e+01, 5.68277082915e+07, 1.02179931643e+03, 9.24606305869e-04, 3.48576963154e+05, 6.33128169181e-01, 3.97757522678e+03, 4.04468800556e+03, 2.92961631085e+05 -2.31111111111e+01, 5.73297116834e+07, 1.02200215086e+03, 9.24613699968e-04, 3.49024130045e+05, 6.33367676556e-01, 3.97631526305e+03, 4.04371607458e+03, 2.92928639800e+05 -2.31111111111e+01, 5.78317150754e+07, 1.02220478691e+03, 9.24621986035e-04, 3.49471135530e+05, 6.33606799220e-01, 3.97505871841e+03, 4.04274785862e+03, 2.92895666684e+05 -2.31111111111e+01, 5.83337184673e+07, 1.02240722489e+03, 9.24631163216e-04, 3.49917979932e+05, 6.33845537955e-01, 3.97380558219e+03, 4.04178334384e+03, 2.92862711691e+05 -2.31111111111e+01, 5.88357218593e+07, 1.02260946513e+03, 9.24641230653e-04, 3.50364663574e+05, 6.34083893546e-01, 3.97255584377e+03, 4.04082251643e+03, 2.92829774777e+05 -2.31111111111e+01, 5.93377252513e+07, 1.02281150796e+03, 9.24652187489e-04, 3.50811186777e+05, 6.34321866776e-01, 3.97130949255e+03, 4.03986536263e+03, 2.92796855897e+05 -2.31111111111e+01, 5.98397286432e+07, 1.02301335370e+03, 9.24664032861e-04, 3.51257549865e+05, 6.34559458423e-01, 3.97006651798e+03, 4.03891186870e+03, 2.92763955009e+05 -2.31111111111e+01, 6.03417320352e+07, 1.02321500267e+03, 9.24676765907e-04, 3.51703753157e+05, 6.34796669269e-01, 3.96882690954e+03, 4.03796202097e+03, 2.92731072070e+05 -2.31111111111e+01, 6.08437354271e+07, 1.02341645519e+03, 9.24690385760e-04, 3.52149796975e+05, 6.35033500090e-01, 3.96759065675e+03, 4.03701580578e+03, 2.92698207040e+05 -2.31111111111e+01, 6.13457388191e+07, 1.02361771160e+03, 9.24704891554e-04, 3.52595681640e+05, 6.35269951664e-01, 3.96635774919e+03, 4.03607320953e+03, 2.92665359877e+05 -2.31111111111e+01, 6.18477422111e+07, 1.02381877219e+03, 9.24720282418e-04, 3.53041407473e+05, 6.35506024765e-01, 3.96512817643e+03, 4.03513421867e+03, 2.92632530540e+05 -2.31111111111e+01, 6.23497456030e+07, 1.02401963731e+03, 9.24736557481e-04, 3.53486974792e+05, 6.35741720169e-01, 3.96390192813e+03, 4.03419881967e+03, 2.92599718991e+05 -2.31111111111e+01, 6.28517489950e+07, 1.02422030727e+03, 9.24753715868e-04, 3.53932383919e+05, 6.35977038647e-01, 3.96267899395e+03, 4.03326699904e+03, 2.92566925190e+05 -2.31111111111e+01, 6.33537523869e+07, 1.02442078238e+03, 9.24771756704e-04, 3.54377635171e+05, 6.36211980971e-01, 3.96145936360e+03, 4.03233874335e+03, 2.92534149099e+05 -2.31111111111e+01, 6.38557557789e+07, 1.02462106296e+03, 9.24790679112e-04, 3.54822728869e+05, 6.36446547911e-01, 3.96024302683e+03, 4.03141403919e+03, 2.92501390681e+05 -2.31111111111e+01, 6.43577591709e+07, 1.02482114935e+03, 9.24810482210e-04, 3.55267665330e+05, 6.36680740236e-01, 3.95902997343e+03, 4.03049287320e+03, 2.92468649900e+05 -2.31111111111e+01, 6.48597625628e+07, 1.02502104184e+03, 9.24831165119e-04, 3.55712444873e+05, 6.36914558714e-01, 3.95782019322e+03, 4.02957523205e+03, 2.92435926718e+05 -2.31111111111e+01, 6.53617659548e+07, 1.02522074076e+03, 9.24852726953e-04, 3.56157067815e+05, 6.37148004109e-01, 3.95661367604e+03, 4.02866110248e+03, 2.92403221100e+05 -2.31111111111e+01, 6.58637693467e+07, 1.02542024642e+03, 9.24875166829e-04, 3.56601534474e+05, 6.37381077188e-01, 3.95541041180e+03, 4.02775047122e+03, 2.92370533012e+05 -2.31111111111e+01, 6.63657727387e+07, 1.02561955915e+03, 9.24898483859e-04, 3.57045845167e+05, 6.37613778713e-01, 3.95421039041e+03, 4.02684332509e+03, 2.92337862420e+05 -2.31111111111e+01, 6.68677761307e+07, 1.02581867925e+03, 9.24922677154e-04, 3.57490000211e+05, 6.37846109447e-01, 3.95301360185e+03, 4.02593965092e+03, 2.92305209289e+05 -2.31111111111e+01, 6.73697795226e+07, 1.02601760705e+03, 9.24947745825e-04, 3.57933999921e+05, 6.38078070152e-01, 3.95182003611e+03, 4.02503943558e+03, 2.92272573587e+05 -2.31111111111e+01, 6.78717829146e+07, 1.02621634285e+03, 9.24973688978e-04, 3.58377844615e+05, 6.38309661585e-01, 3.95062968323e+03, 4.02414266599e+03, 2.92239955282e+05 -2.31111111111e+01, 6.83737863065e+07, 1.02641488696e+03, 9.25000505720e-04, 3.58821534606e+05, 6.38540884507e-01, 3.94944253326e+03, 4.02324932911e+03, 2.92207354342e+05 -2.31111111111e+01, 6.88757896985e+07, 1.02661323971e+03, 9.25028195156e-04, 3.59265070211e+05, 6.38771739673e-01, 3.94825857633e+03, 4.02235941193e+03, 2.92174770735e+05 -2.31111111111e+01, 6.93777930905e+07, 1.02681140141e+03, 9.25056756388e-04, 3.59708451744e+05, 6.39002227841e-01, 3.94707780256e+03, 4.02147290148e+03, 2.92142204432e+05 -2.31111111111e+01, 6.98797964824e+07, 1.02700937236e+03, 9.25086188519e-04, 3.60151679520e+05, 6.39232349763e-01, 3.94590020212e+03, 4.02058978485e+03, 2.92109655403e+05 -2.31111111111e+01, 7.03817998744e+07, 1.02720715288e+03, 9.25116490649e-04, 3.60594753851e+05, 6.39462106194e-01, 3.94472576522e+03, 4.01971004913e+03, 2.92077123617e+05 -2.31111111111e+01, 7.08838032663e+07, 1.02740474327e+03, 9.25147661875e-04, 3.61037675053e+05, 6.39691497886e-01, 3.94355448211e+03, 4.01883368149e+03, 2.92044609048e+05 -2.31111111111e+01, 7.13858066583e+07, 1.02760214386e+03, 9.25179701295e-04, 3.61480443437e+05, 6.39920525589e-01, 3.94238634305e+03, 4.01796066910e+03, 2.92012111666e+05 -2.31111111111e+01, 7.18878100503e+07, 1.02779935495e+03, 9.25212608006e-04, 3.61923059317e+05, 6.40149190052e-01, 3.94122133835e+03, 4.01709099921e+03, 2.91979631445e+05 -2.31111111111e+01, 7.23898134422e+07, 1.02799637684e+03, 9.25246381101e-04, 3.62365523005e+05, 6.40377492025e-01, 3.94005945835e+03, 4.01622465908e+03, 2.91947168356e+05 -2.31111111111e+01, 7.28918168342e+07, 1.02819320986e+03, 9.25281019673e-04, 3.62807834813e+05, 6.40605432253e-01, 3.93890069343e+03, 4.01536163601e+03, 2.91914722375e+05 -2.31111111111e+01, 7.33938202261e+07, 1.02838985430e+03, 9.25316522814e-04, 3.63249995052e+05, 6.40833011482e-01, 3.93774503399e+03, 4.01450191735e+03, 2.91882293475e+05 -2.31111111111e+01, 7.38958236181e+07, 1.02858631048e+03, 9.25352889614e-04, 3.63692004033e+05, 6.41060230457e-01, 3.93659247046e+03, 4.01364549049e+03, 2.91849881631e+05 -2.31111111111e+01, 7.43978270101e+07, 1.02878257870e+03, 9.25390119164e-04, 3.64133862068e+05, 6.41287089922e-01, 3.93544299333e+03, 4.01279234284e+03, 2.91817486819e+05 -2.31111111111e+01, 7.48998304020e+07, 1.02897865926e+03, 9.25428210550e-04, 3.64575569465e+05, 6.41513590617e-01, 3.93429659310e+03, 4.01194246187e+03, 2.91785109014e+05 -2.31111111111e+01, 7.54018337940e+07, 1.02917455249e+03, 9.25467162860e-04, 3.65017126536e+05, 6.41739733284e-01, 3.93315326029e+03, 4.01109583507e+03, 2.91752748193e+05 -2.31111111111e+01, 7.59038371859e+07, 1.02937025867e+03, 9.25506975179e-04, 3.65458533589e+05, 6.41965518661e-01, 3.93201298549e+03, 4.01025244998e+03, 2.91720404333e+05 -2.31111111111e+01, 7.64058405779e+07, 1.02956577812e+03, 9.25547646593e-04, 3.65899790933e+05, 6.42190947488e-01, 3.93087575928e+03, 4.00941229419e+03, 2.91688077411e+05 -2.31111111111e+01, 7.69078439698e+07, 1.02976111115e+03, 9.25589176183e-04, 3.66340898878e+05, 6.42416020500e-01, 3.92974157231e+03, 4.00857535529e+03, 2.91655767407e+05 -2.31111111111e+01, 7.74098473618e+07, 1.02995625805e+03, 9.25631563033e-04, 3.66781857730e+05, 6.42640738434e-01, 3.92861041523e+03, 4.00774162094e+03, 2.91623474297e+05 -2.31111111111e+01, 7.79118507538e+07, 1.03015121913e+03, 9.25674806225e-04, 3.67222667798e+05, 6.42865102024e-01, 3.92748227874e+03, 4.00691107884e+03, 2.91591198062e+05 -2.31111111111e+01, 7.84138541457e+07, 1.03034599470e+03, 9.25718904838e-04, 3.67663329389e+05, 6.43089112003e-01, 3.92635715357e+03, 4.00608371671e+03, 2.91558938680e+05 -2.31111111111e+01, 7.89158575377e+07, 1.03054058505e+03, 9.25763857952e-04, 3.68103842810e+05, 6.43312769104e-01, 3.92523503047e+03, 4.00525952231e+03, 2.91526696133e+05 -2.31111111111e+01, 7.94178609296e+07, 1.03073499049e+03, 9.25809664646e-04, 3.68544208367e+05, 6.43536074056e-01, 3.92411590023e+03, 4.00443848344e+03, 2.91494470401e+05 -2.31111111111e+01, 7.99198643216e+07, 1.03092921133e+03, 9.25856323996e-04, 3.68984426366e+05, 6.43759027589e-01, 3.92299975366e+03, 4.00362058796e+03, 2.91462261466e+05 -2.31111111111e+01, 8.04218677136e+07, 1.03112324786e+03, 9.25903835081e-04, 3.69424497113e+05, 6.43981630432e-01, 3.92188658163e+03, 4.00280582373e+03, 2.91430069308e+05 -2.31111111111e+01, 8.09238711055e+07, 1.03131710038e+03, 9.25952196975e-04, 3.69864420913e+05, 6.44203883312e-01, 3.92077637500e+03, 4.00199417868e+03, 2.91397893910e+05 -2.31111111111e+01, 8.14258744975e+07, 1.03151076920e+03, 9.26001408753e-04, 3.70304198069e+05, 6.44425786954e-01, 3.91966912469e+03, 4.00118564075e+03, 2.91365735254e+05 -2.31111111111e+01, 8.19278778894e+07, 1.03170425461e+03, 9.26051469491e-04, 3.70743828887e+05, 6.44647342082e-01, 3.91856482164e+03, 4.00038019793e+03, 2.91333593325e+05 -2.31111111111e+01, 8.24298812814e+07, 1.03189755693e+03, 9.26102378260e-04, 3.71183313670e+05, 6.44868549421e-01, 3.91746345681e+03, 3.99957783827e+03, 2.91301468105e+05 -2.31111111111e+01, 8.29318846734e+07, 1.03209067643e+03, 9.26154134135e-04, 3.71622652722e+05, 6.45089409692e-01, 3.91636502121e+03, 3.99877854981e+03, 2.91269359579e+05 -2.31111111111e+01, 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9.95045749047e+05 diff --git a/src/CO2Properties/tables/solubilities.csv b/src/CO2Properties/tables/solubilities.csv deleted file mode 100644 index 624328de..00000000 --- a/src/CO2Properties/tables/solubilities.csv +++ /dev/null @@ -1,20008 +0,0 @@ -# This autogenerated file contains solubilities of CO2 and H2O in a respective fluid system. -# The values have been calculated by means of (11)-(14) in https://doi.org/10.1016/S0016-7037(03)00273-4. -# -# Concerning temperature and pressure ranges, the following parameters have been used: -# min temperature = 1.0, max temperature = 200.0, #temperature sampling points = 100 -# min phase pressure = 101325.0, max phase pressure = 100000000.0, #pressure sampling points = 200 -# -# temperature [°C], phase pressure [Pa], y_H2O [-], x_CO2 [-] - 1.00000000000e+00, 1.01325000000e+05, 6.60668959488e-03, 1.13207321369e-03 - 1.00000000000e+00, 6.03328391960e+05, 1.16536588236e-03, 6.52950124311e-03 - 1.00000000000e+00, 1.10533178392e+06, 6.69857189445e-04, 1.15225425924e-02 - 1.00000000000e+00, 1.60733517588e+06, 4.86596810548e-04, 1.61228302179e-02 - 1.00000000000e+00, 2.10933856784e+06, 3.93150374936e-04, 2.03407436833e-02 - 1.00000000000e+00, 2.61134195980e+06, 3.38328985886e-04, 2.41852752196e-02 - 1.00000000000e+00, 3.11334535176e+06, 3.04290710484e-04, 2.76643156991e-02 - 1.00000000000e+00, 3.61534874372e+06, 1.60564906012e-03, 3.17208055440e-02 - 1.00000000000e+00, 4.11735213568e+06, 1.61514922267e-03, 3.18350298269e-02 - 1.00000000000e+00, 4.61935552764e+06, 1.62417019440e-03, 3.19406794670e-02 - 1.00000000000e+00, 5.12135891960e+06, 1.63277515754e-03, 3.20388977889e-02 - 1.00000000000e+00, 5.62336231156e+06, 1.64101429700e-03, 3.21305773129e-02 - 1.00000000000e+00, 6.12536570352e+06, 1.64892835005e-03, 3.22164321690e-02 - 1.00000000000e+00, 6.62736909548e+06, 1.65655097893e-03, 3.22970455732e-02 - 1.00000000000e+00, 7.12937248744e+06, 1.66391041526e-03, 3.23729021088e-02 - 1.00000000000e+00, 7.63137587940e+06, 1.67103063505e-03, 3.24444103639e-02 - 1.00000000000e+00, 8.13337927136e+06, 1.67793222010e-03, 3.25119192314e-02 - 1.00000000000e+00, 8.63538266332e+06, 1.68463300380e-03, 3.25757299184e-02 - 1.00000000000e+00, 9.13738605528e+06, 1.69114856445e-03, 3.26361049745e-02 - 1.00000000000e+00, 9.63938944724e+06, 1.69749260863e-03, 3.26932752001e-02 - 1.00000000000e+00, 1.01413928392e+07, 1.70367727345e-03, 3.27474450169e-02 - 1.00000000000e+00, 1.06433962312e+07, 1.70971336799e-03, 3.27987967030e-02 - 1.00000000000e+00, 1.11453996231e+07, 1.71561056848e-03, 3.28474937746e-02 - 1.00000000000e+00, 1.16474030151e+07, 1.72137757762e-03, 3.28936837180e-02 - 1.00000000000e+00, 1.21494064070e+07, 1.72702225595e-03, 3.29375002199e-02 - 1.00000000000e+00, 1.26514097990e+07, 1.73255173113e-03, 3.29790650040e-02 - 1.00000000000e+00, 1.31534131910e+07, 1.73797248944e-03, 3.30184893598e-02 - 1.00000000000e+00, 1.36554165829e+07, 1.74329045301e-03, 3.30558754216e-02 - 1.00000000000e+00, 1.41574199749e+07, 1.74851104546e-03, 3.30913172484e-02 - 1.00000000000e+00, 1.46594233668e+07, 1.75363924795e-03, 3.31249017425e-02 - 1.00000000000e+00, 1.51614267588e+07, 1.75867964738e-03, 3.31567094336e-02 - 1.00000000000e+00, 1.56634301508e+07, 1.76363647798e-03, 3.31868151534e-02 - 1.00000000000e+00, 1.61654335427e+07, 1.76851365743e-03, 3.32152886192e-02 - 1.00000000000e+00, 1.66674369347e+07, 1.77331481840e-03, 3.32421949409e-02 - 1.00000000000e+00, 1.71694403266e+07, 1.77804333605e-03, 3.32675950630e-02 - 1.00000000000e+00, 1.76714437186e+07, 1.78270235230e-03, 3.32915461518e-02 - 1.00000000000e+00, 1.81734471106e+07, 1.78729479721e-03, 3.33141019388e-02 - 1.00000000000e+00, 1.86754505025e+07, 1.79182340787e-03, 3.33353130197e-02 - 1.00000000000e+00, 1.91774538945e+07, 1.79629074524e-03, 3.33552271249e-02 - 1.00000000000e+00, 1.96794572864e+07, 1.80069920910e-03, 3.33738893540e-02 - 1.00000000000e+00, 2.01814606784e+07, 1.80505105144e-03, 3.33913423932e-02 - 1.00000000000e+00, 2.06834640704e+07, 1.80934838846e-03, 3.34076266996e-02 - 1.00000000000e+00, 2.11854674623e+07, 1.81359321132e-03, 3.34227806752e-02 - 1.00000000000e+00, 2.16874708543e+07, 1.81778739585e-03, 3.34368408227e-02 - 1.00000000000e+00, 2.21894742462e+07, 1.82193271125e-03, 3.34498418830e-02 - 1.00000000000e+00, 2.26914776382e+07, 1.82603082818e-03, 3.34618169562e-02 - 1.00000000000e+00, 2.31934810302e+07, 1.83008332574e-03, 3.34727976239e-02 - 1.00000000000e+00, 2.36954844221e+07, 1.83409169814e-03, 3.34828140473e-02 - 1.00000000000e+00, 2.41974878141e+07, 1.83805736063e-03, 3.34918950601e-02 - 1.00000000000e+00, 2.46994912060e+07, 1.84198165483e-03, 3.35000682634e-02 - 1.00000000000e+00, 2.52014945980e+07, 1.84586585385e-03, 3.35073600933e-02 - 1.00000000000e+00, 2.57034979899e+07, 1.84971116668e-03, 3.35137959028e-02 - 1.00000000000e+00, 2.62055013819e+07, 1.85351874243e-03, 3.35194000223e-02 - 1.00000000000e+00, 2.67075047739e+07, 1.85728967416e-03, 3.35241958232e-02 - 1.00000000000e+00, 2.72095081658e+07, 1.86102500241e-03, 3.35282057711e-02 - 1.00000000000e+00, 2.77115115578e+07, 1.86472571837e-03, 3.35314514832e-02 - 1.00000000000e+00, 2.82135149497e+07, 1.86839276692e-03, 3.35339537736e-02 - 1.00000000000e+00, 2.87155183417e+07, 1.87202704944e-03, 3.35357326948e-02 - 1.00000000000e+00, 2.92175217337e+07, 1.87562942632e-03, 3.35368075815e-02 - 1.00000000000e+00, 2.97195251256e+07, 1.87920071932e-03, 3.35371970902e-02 - 1.00000000000e+00, 3.02215285176e+07, 1.88274171382e-03, 3.35369192324e-02 - 1.00000000000e+00, 3.07235319095e+07, 1.88625316083e-03, 3.35359914075e-02 - 1.00000000000e+00, 3.12255353015e+07, 1.88973577882e-03, 3.35344304392e-02 - 1.00000000000e+00, 3.17275386935e+07, 1.89319025572e-03, 3.35322525915e-02 - 1.00000000000e+00, 3.22295420854e+07, 1.89661725024e-03, 3.35294736126e-02 - 1.00000000000e+00, 3.27315454774e+07, 1.90001739374e-03, 3.35261087437e-02 - 1.00000000000e+00, 3.32335488693e+07, 1.90339129137e-03, 3.35221727557e-02 - 1.00000000000e+00, 3.37355522613e+07, 1.90673952368e-03, 3.35176799601e-02 - 1.00000000000e+00, 3.42375556533e+07, 1.91006264767e-03, 3.35126442384e-02 - 1.00000000000e+00, 3.47395590452e+07, 1.91336119808e-03, 3.35070790574e-02 - 1.00000000000e+00, 3.52415624372e+07, 1.91663568843e-03, 3.35009974882e-02 - 1.00000000000e+00, 3.57435658291e+07, 1.91988661214e-03, 3.34944122225e-02 - 1.00000000000e+00, 3.62455692211e+07, 1.92311444336e-03, 3.34873355925e-02 - 1.00000000000e+00, 3.67475726131e+07, 1.92631963811e-03, 3.34797795776e-02 - 1.00000000000e+00, 3.72495760050e+07, 1.92950263489e-03, 3.34717558301e-02 - 1.00000000000e+00, 3.77515793970e+07, 1.93266385563e-03, 3.34632756809e-02 - 1.00000000000e+00, 3.82535827889e+07, 1.93580370647e-03, 3.34543501536e-02 - 1.00000000000e+00, 3.87555861809e+07, 1.93892257842e-03, 3.34449899783e-02 - 1.00000000000e+00, 3.92575895729e+07, 1.94202084800e-03, 3.34352056049e-02 - 1.00000000000e+00, 3.97595929648e+07, 1.94509887806e-03, 3.34250072049e-02 - 1.00000000000e+00, 4.02615963568e+07, 1.94815701807e-03, 3.34144046980e-02 - 1.00000000000e+00, 4.07635997487e+07, 1.95119560509e-03, 3.34034077439e-02 - 1.00000000000e+00, 4.12656031407e+07, 1.95421496399e-03, 3.33920257631e-02 - 1.00000000000e+00, 4.17676065327e+07, 1.95721540815e-03, 3.33802679411e-02 - 1.00000000000e+00, 4.22696099246e+07, 1.96019723972e-03, 3.33681432441e-02 - 1.00000000000e+00, 4.27716133166e+07, 1.96316075047e-03, 3.33556604121e-02 - 1.00000000000e+00, 4.32736167085e+07, 1.96610622184e-03, 3.33428279808e-02 - 1.00000000000e+00, 4.37756201005e+07, 1.96903392548e-03, 3.33296542859e-02 - 1.00000000000e+00, 4.42776234925e+07, 1.97194412381e-03, 3.33161474618e-02 - 1.00000000000e+00, 4.47796268844e+07, 1.97483707013e-03, 3.33023154590e-02 - 1.00000000000e+00, 4.52816302764e+07, 1.97771300921e-03, 3.32881660414e-02 - 1.00000000000e+00, 4.57836336683e+07, 1.98057217734e-03, 3.32737068037e-02 - 1.00000000000e+00, 4.62856370603e+07, 1.98341480307e-03, 3.32589451594e-02 - 1.00000000000e+00, 4.67876404523e+07, 1.98624110707e-03, 3.32438883666e-02 - 1.00000000000e+00, 4.72896438442e+07, 1.98905130278e-03, 3.32285435169e-02 - 1.00000000000e+00, 4.77916472362e+07, 1.99184559641e-03, 3.32129175514e-02 - 1.00000000000e+00, 4.82936506281e+07, 1.99462418743e-03, 3.31970172580e-02 - 1.00000000000e+00, 4.87956540201e+07, 1.99738726870e-03, 3.31808492797e-02 - 1.00000000000e+00, 4.92976574121e+07, 2.00013502676e-03, 3.31644201177e-02 - 1.00000000000e+00, 4.97996608040e+07, 2.00286764190e-03, 3.31477361418e-02 - 1.00000000000e+00, 5.03016641960e+07, 2.00558528870e-03, 3.31308035814e-02 - 1.00000000000e+00, 5.08036675879e+07, 2.00828813604e-03, 3.31136285390e-02 - 1.00000000000e+00, 5.13056709799e+07, 2.01097634713e-03, 3.30962169980e-02 - 1.00000000000e+00, 5.18076743719e+07, 2.01365008009e-03, 3.30785748129e-02 - 1.00000000000e+00, 5.23096777638e+07, 2.01630948785e-03, 3.30607077244e-02 - 1.00000000000e+00, 5.28116811558e+07, 2.01895471845e-03, 3.30426213557e-02 - 1.00000000000e+00, 5.33136845477e+07, 2.02158591515e-03, 3.30243212204e-02 - 1.00000000000e+00, 5.38156879397e+07, 2.02420321664e-03, 3.30058127223e-02 - 1.00000000000e+00, 5.43176913317e+07, 2.02680675707e-03, 3.29871011626e-02 - 1.00000000000e+00, 5.48196947236e+07, 2.02939666642e-03, 3.29681917363e-02 - 1.00000000000e+00, 5.53216981156e+07, 2.03197307045e-03, 3.29490895409e-02 - 1.00000000000e+00, 5.58237015075e+07, 2.03453609097e-03, 3.29297995739e-02 - 1.00000000000e+00, 5.63257048995e+07, 2.03708584580e-03, 3.29103267422e-02 - 1.00000000000e+00, 5.68277082915e+07, 2.03962244906e-03, 3.28906758588e-02 - 1.00000000000e+00, 5.73297116834e+07, 2.04214601122e-03, 3.28708516467e-02 - 1.00000000000e+00, 5.78317150754e+07, 2.04465663927e-03, 3.28508587406e-02 - 1.00000000000e+00, 5.83337184673e+07, 2.04715443672e-03, 3.28307016920e-02 - 1.00000000000e+00, 5.88357218593e+07, 2.04963950391e-03, 3.28103849649e-02 - 1.00000000000e+00, 5.93377252513e+07, 2.05211193774e-03, 3.27899129505e-02 - 1.00000000000e+00, 5.98397286432e+07, 2.05457183231e-03, 3.27692899506e-02 - 1.00000000000e+00, 6.03417320352e+07, 2.05701927844e-03, 3.27485201999e-02 - 1.00000000000e+00, 6.08437354271e+07, 2.05945436425e-03, 3.27276078497e-02 - 1.00000000000e+00, 6.13457388191e+07, 2.06187717488e-03, 3.27065569841e-02 - 1.00000000000e+00, 6.18477422111e+07, 2.06428779281e-03, 3.26853716117e-02 - 1.00000000000e+00, 6.23497456030e+07, 2.06668629785e-03, 3.26640556731e-02 - 1.00000000000e+00, 6.28517489950e+07, 2.06907276723e-03, 3.26426130398e-02 - 1.00000000000e+00, 6.33537523869e+07, 2.07144727563e-03, 3.26210475177e-02 - 1.00000000000e+00, 6.38557557789e+07, 2.07380989536e-03, 3.25993628470e-02 - 1.00000000000e+00, 6.43577591709e+07, 2.07616069649e-03, 3.25775626992e-02 - 1.00000000000e+00, 6.48597625628e+07, 2.07849974646e-03, 3.25556506958e-02 - 1.00000000000e+00, 6.53617659548e+07, 2.08082711083e-03, 3.25336303851e-02 - 1.00000000000e+00, 6.58637693467e+07, 2.08314285279e-03, 3.25115052634e-02 - 1.00000000000e+00, 6.63657727387e+07, 2.08544703352e-03, 3.24892787668e-02 - 1.00000000000e+00, 6.68677761307e+07, 2.08773971221e-03, 3.24669542716e-02 - 1.00000000000e+00, 6.73697795226e+07, 2.09002094591e-03, 3.24445351048e-02 - 1.00000000000e+00, 6.78717829146e+07, 2.09229078989e-03, 3.24220245340e-02 - 1.00000000000e+00, 6.83737863065e+07, 2.09454929741e-03, 3.23994257777e-02 - 1.00000000000e+00, 6.88757896985e+07, 2.09679652006e-03, 3.23767419980e-02 - 1.00000000000e+00, 6.93777930905e+07, 2.09903250756e-03, 3.23539763094e-02 - 1.00000000000e+00, 6.98797964824e+07, 2.10125730792e-03, 3.23311317756e-02 - 1.00000000000e+00, 7.03817998744e+07, 2.10347096753e-03, 3.23082114102e-02 - 1.00000000000e+00, 7.08838032663e+07, 2.10567353102e-03, 3.22852181829e-02 - 1.00000000000e+00, 7.13858066583e+07, 2.10786504164e-03, 3.22621550108e-02 - 1.00000000000e+00, 7.18878100503e+07, 2.11004554075e-03, 3.22390247749e-02 - 1.00000000000e+00, 7.23898134422e+07, 2.11221506864e-03, 3.22158302991e-02 - 1.00000000000e+00, 7.28918168342e+07, 2.11437366381e-03, 3.21925743724e-02 - 1.00000000000e+00, 7.33938202261e+07, 2.11652136339e-03, 3.21692597401e-02 - 1.00000000000e+00, 7.38958236181e+07, 2.11865820322e-03, 3.21458891017e-02 - 1.00000000000e+00, 7.43978270101e+07, 2.12078421783e-03, 3.21224651146e-02 - 1.00000000000e+00, 7.48998304020e+07, 2.12289944018e-03, 3.20989904028e-02 - 1.00000000000e+00, 7.54018337940e+07, 2.12500390214e-03, 3.20754675450e-02 - 1.00000000000e+00, 7.59038371859e+07, 2.12709763433e-03, 3.20518990817e-02 - 1.00000000000e+00, 7.64058405779e+07, 2.12918066603e-03, 3.20282875183e-02 - 1.00000000000e+00, 7.69078439698e+07, 2.13125302552e-03, 3.20046353172e-02 - 1.00000000000e+00, 7.74098473618e+07, 2.13331473968e-03, 3.19809449117e-02 - 1.00000000000e+00, 7.79118507538e+07, 2.13536583447e-03, 3.19572186927e-02 - 1.00000000000e+00, 7.84138541457e+07, 2.13740633469e-03, 3.19334590182e-02 - 1.00000000000e+00, 7.89158575377e+07, 2.13943626393e-03, 3.19096682149e-02 - 1.00000000000e+00, 7.94178609296e+07, 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3.53726353572e-03, 2.95885739236e-02 - 2.11010101010e+01, 3.52415624372e+07, 3.54372283728e-03, 2.96008131701e-02 - 2.11010101010e+01, 3.57435658291e+07, 3.55011687578e-03, 2.96122977769e-02 - 2.11010101010e+01, 3.62455692211e+07, 3.55644757964e-03, 2.96230466120e-02 - 2.11010101010e+01, 3.67475726131e+07, 3.56271678732e-03, 2.96330778834e-02 - 2.11010101010e+01, 3.72495760050e+07, 3.56892625273e-03, 2.96424091703e-02 - 2.11010101010e+01, 3.77515793970e+07, 3.57507765016e-03, 2.96510574570e-02 - 2.11010101010e+01, 3.82535827889e+07, 3.58117257884e-03, 2.96590391610e-02 - 2.11010101010e+01, 3.87555861809e+07, 3.58721256723e-03, 2.96663701633e-02 - 2.11010101010e+01, 3.92575895729e+07, 3.59319907684e-03, 2.96730658347e-02 - 2.11010101010e+01, 3.97595929648e+07, 3.59913350613e-03, 2.96791410569e-02 - 2.11010101010e+01, 4.02615963568e+07, 3.60501719378e-03, 2.96846102486e-02 - 2.11010101010e+01, 4.07635997487e+07, 3.61085142196e-03, 2.96894873855e-02 - 2.11010101010e+01, 4.12656031407e+07, 3.61663741921e-03, 2.96937860230e-02 - 2.11010101010e+01, 4.17676065327e+07, 3.62237636345e-03, 2.96975193099e-02 - 2.11010101010e+01, 4.22696099246e+07, 3.62806938439e-03, 2.97007000110e-02 - 2.11010101010e+01, 4.27716133166e+07, 3.63371756597e-03, 2.97033405247e-02 - 2.11010101010e+01, 4.32736167085e+07, 3.63932194890e-03, 2.97054528914e-02 - 2.11010101010e+01, 4.37756201005e+07, 3.64488353248e-03, 2.97070488179e-02 - 2.11010101010e+01, 4.42776234925e+07, 3.65040327692e-03, 2.97081396835e-02 - 2.11010101010e+01, 4.47796268844e+07, 3.65588210499e-03, 2.97087365588e-02 - 2.11010101010e+01, 4.52816302764e+07, 3.66132090398e-03, 2.97088502153e-02 - 2.11010101010e+01, 4.57836336683e+07, 3.66672052724e-03, 2.97084911389e-02 - 2.11010101010e+01, 4.62856370603e+07, 3.67208179599e-03, 2.97076695376e-02 - 2.11010101010e+01, 4.67876404523e+07, 3.67740550045e-03, 2.97063953585e-02 - 2.11010101010e+01, 4.72896438442e+07, 3.68269240159e-03, 2.97046782915e-02 - 2.11010101010e+01, 4.77916472362e+07, 3.68794323226e-03, 2.97025277831e-02 - 2.11010101010e+01, 4.82936506281e+07, 3.69315869854e-03, 2.96999530428e-02 - 2.11010101010e+01, 4.87956540201e+07, 3.69833948082e-03, 2.96969630542e-02 - 2.11010101010e+01, 4.92976574121e+07, 3.70348623507e-03, 2.96935665799e-02 - 2.11010101010e+01, 4.97996608040e+07, 3.70859959374e-03, 2.96897721731e-02 - 2.11010101010e+01, 5.03016641960e+07, 3.71368016683e-03, 2.96855881834e-02 - 2.11010101010e+01, 5.08036675879e+07, 3.71872854292e-03, 2.96810227621e-02 - 2.11010101010e+01, 5.13056709799e+07, 3.72374528996e-03, 2.96760838711e-02 - 2.11010101010e+01, 5.18076743719e+07, 3.72873095610e-03, 2.96707792901e-02 - 2.11010101010e+01, 5.23096777638e+07, 3.73368607070e-03, 2.96651166191e-02 - 2.11010101010e+01, 5.28116811558e+07, 3.73861114487e-03, 2.96591032879e-02 - 2.11010101010e+01, 5.33136845477e+07, 3.74350667226e-03, 2.96527465613e-02 - 2.11010101010e+01, 5.38156879397e+07, 3.74837312984e-03, 2.96460535428e-02 - 2.11010101010e+01, 5.43176913317e+07, 3.75321097847e-03, 2.96390311806e-02 - 2.11010101010e+01, 5.48196947236e+07, 3.75802066371e-03, 2.96316862704e-02 - 2.11010101010e+01, 5.53216981156e+07, 3.76280261616e-03, 2.96240254641e-02 - 2.11010101010e+01, 5.58237015075e+07, 3.76755725203e-03, 2.96160552744e-02 - 2.11010101010e+01, 5.63257048995e+07, 3.77228497416e-03, 2.96077820703e-02 - 2.11010101010e+01, 5.68277082915e+07, 3.77698617175e-03, 2.95992120961e-02 - 2.11010101010e+01, 5.73297116834e+07, 3.78166122155e-03, 2.95903514625e-02 - 2.11010101010e+01, 5.78317150754e+07, 3.78631048813e-03, 2.95812061531e-02 - 2.11010101010e+01, 5.83337184673e+07, 3.79093432399e-03, 2.95717820361e-02 - 2.11010101010e+01, 5.88357218593e+07, 3.79553307059e-03, 2.95620848552e-02 - 2.11010101010e+01, 5.93377252513e+07, 3.80010705819e-03, 2.95521202443e-02 - 2.11010101010e+01, 5.98397286432e+07, 3.80465660646e-03, 2.95418937261e-02 - 2.11010101010e+01, 6.03417320352e+07, 3.80918202528e-03, 2.95314107090e-02 - 2.11010101010e+01, 6.08437354271e+07, 3.81368361415e-03, 2.95206765048e-02 - 2.11010101010e+01, 6.13457388191e+07, 3.81816166355e-03, 2.95096963153e-02 - 2.11010101010e+01, 6.18477422111e+07, 3.82261645461e-03, 2.94984752470e-02 - 2.11010101010e+01, 6.23497456030e+07, 3.82704825956e-03, 2.94870183092e-02 - 2.11010101010e+01, 6.28517489950e+07, 3.83145734222e-03, 2.94753304158e-02 - 2.11010101010e+01, 6.33537523869e+07, 3.83584395820e-03, 2.94634163876e-02 - 2.11010101010e+01, 6.38557557789e+07, 3.84020835486e-03, 2.94512809614e-02 - 2.11010101010e+01, 6.43577591709e+07, 3.84455077221e-03, 2.94389287804e-02 - 2.11010101010e+01, 6.48597625628e+07, 3.84887144267e-03, 2.94263644054e-02 - 2.11010101010e+01, 6.53617659548e+07, 3.85317059134e-03, 2.94135923168e-02 - 2.11010101010e+01, 6.58637693467e+07, 3.85744843655e-03, 2.94006169106e-02 - 2.11010101010e+01, 6.63657727387e+07, 3.86170518974e-03, 2.93874425068e-02 - 2.11010101010e+01, 6.68677761307e+07, 3.86594105598e-03, 2.93740733463e-02 - 2.11010101010e+01, 6.73697795226e+07, 3.87015623374e-03, 2.93605135996e-02 - 2.11010101010e+01, 6.78717829146e+07, 3.87435091556e-03, 2.93467673616e-02 - 2.11010101010e+01, 6.83737863065e+07, 3.87852528830e-03, 2.93328386512e-02 - 2.11010101010e+01, 6.88757896985e+07, 3.88267953246e-03, 2.93187314289e-02 - 2.11010101010e+01, 6.93777930905e+07, 3.88681382367e-03, 2.93044495752e-02 - 2.11010101010e+01, 6.98797964824e+07, 3.89092833170e-03, 2.92899969125e-02 - 2.11010101010e+01, 7.03817998744e+07, 3.89502322118e-03, 2.92753771969e-02 - 2.11010101010e+01, 7.08838032663e+07, 3.89909865171e-03, 2.92605941205e-02 - 2.11010101010e+01, 7.13858066583e+07, 3.90315477816e-03, 2.92456513110e-02 - 2.11010101010e+01, 7.18878100503e+07, 3.90719175036e-03, 2.92305523402e-02 - 2.11010101010e+01, 7.23898134422e+07, 3.91120971352e-03, 2.92153007202e-02 - 2.11010101010e+01, 7.28918168342e+07, 3.91520880865e-03, 2.91998999016e-02 - 2.11010101010e+01, 7.33938202261e+07, 3.91918917208e-03, 2.91843532831e-02 - 2.11010101010e+01, 7.38958236181e+07, 3.92315093610e-03, 2.91686642059e-02 - 2.11010101010e+01, 7.43978270101e+07, 3.92709422875e-03, 2.91528359589e-02 - 2.11010101010e+01, 7.48998304020e+07, 3.93101917420e-03, 2.91368717769e-02 - 2.11010101010e+01, 7.54018337940e+07, 3.93492589277e-03, 2.91207748423e-02 - 2.11010101010e+01, 7.59038371859e+07, 3.93881450100e-03, 2.91045482877e-02 - 2.11010101010e+01, 7.64058405779e+07, 3.94268511153e-03, 2.90881951997e-02 - 2.11010101010e+01, 7.69078439698e+07, 3.94653783383e-03, 2.90717186107e-02 - 2.11010101010e+01, 7.74098473618e+07, 3.95037277372e-03, 2.90551215085e-02 - 2.11010101010e+01, 7.79118507538e+07, 3.95419003348e-03, 2.90384068379e-02 - 2.11010101010e+01, 7.84138541457e+07, 3.95798971249e-03, 2.90215774920e-02 - 2.11010101010e+01, 7.89158575377e+07, 3.96177190673e-03, 2.90046363232e-02 - 2.11010101010e+01, 7.94178609296e+07, 3.96553670919e-03, 2.89875861388e-02 - 2.11010101010e+01, 7.99198643216e+07, 3.96928420966e-03, 2.89704297064e-02 - 2.11010101010e+01, 8.04218677136e+07, 3.97301449536e-03, 2.89531697460e-02 - 2.11010101010e+01, 8.09238711055e+07, 3.97672765023e-03, 2.89358089439e-02 - 2.11010101010e+01, 8.14258744975e+07, 3.98042375565e-03, 2.89183499422e-02 - 2.11010101010e+01, 8.19278778894e+07, 3.98410289050e-03, 2.89007953415e-02 - 2.11010101010e+01, 8.24298812814e+07, 3.98776513078e-03, 2.88831477070e-02 - 2.11010101010e+01, 8.29318846734e+07, 3.99141054977e-03, 2.88654095688e-02 - 2.11010101010e+01, 8.34338880653e+07, 3.99503921889e-03, 2.88475834105e-02 - 2.11010101010e+01, 8.39358914573e+07, 3.99865120630e-03, 2.88296716917e-02 - 2.11010101010e+01, 8.44378948492e+07, 4.00224657857e-03, 2.88116768247e-02 - 2.11010101010e+01, 8.49398982412e+07, 4.00582539938e-03, 2.87936011957e-02 - 2.11010101010e+01, 8.54419016332e+07, 4.00938773070e-03, 2.87754471488e-02 - 2.11010101010e+01, 8.59439050251e+07, 4.01293363161e-03, 2.87572170043e-02 - 2.11010101010e+01, 8.64459084171e+07, 4.01646315984e-03, 2.87389130384e-02 - 2.11010101010e+01, 8.69479118090e+07, 4.01997637045e-03, 2.87205375036e-02 - 2.11010101010e+01, 8.74499152010e+07, 4.02347331684e-03, 2.87020926148e-02 - 2.11010101010e+01, 8.79519185930e+07, 4.02695405032e-03, 2.86835805577e-02 - 2.11010101010e+01, 8.84539219849e+07, 4.03041861997e-03, 2.86650034917e-02 - 2.11010101010e+01, 8.89559253769e+07, 4.03386707360e-03, 2.86463635373e-02 - 2.11010101010e+01, 8.94579287688e+07, 4.03729945675e-03, 2.86276627917e-02 - 2.11010101010e+01, 8.99599321608e+07, 4.04071581317e-03, 2.86089033230e-02 - 2.11010101010e+01, 9.04619355528e+07, 4.04411618501e-03, 2.85900871690e-02 - 2.11010101010e+01, 9.09639389447e+07, 4.04750061269e-03, 2.85712163396e-02 - 2.11010101010e+01, 9.14659423367e+07, 4.05086913507e-03, 2.85522928163e-02 - 2.11010101010e+01, 9.19679457286e+07, 4.05422178931e-03, 2.85333185542e-02 - 2.11010101010e+01, 9.24699491206e+07, 4.05755861084e-03, 2.85142954843e-02 - 2.11010101010e+01, 9.29719525126e+07, 4.06087963355e-03, 2.84952255111e-02 - 2.11010101010e+01, 9.34739559045e+07, 4.06418489008e-03, 2.84761105105e-02 - 2.11010101010e+01, 9.39759592965e+07, 4.06747441165e-03, 2.84569523320e-02 - 2.11010101010e+01, 9.44779626884e+07, 4.07074822736e-03, 2.84377528100e-02 - 2.11010101010e+01, 9.49799660804e+07, 4.07400636585e-03, 2.84185137417e-02 - 2.11010101010e+01, 9.54819694724e+07, 4.07724885387e-03, 2.83992369076e-02 - 2.11010101010e+01, 9.59839728643e+07, 4.08047571665e-03, 2.83799240671e-02 - 2.11010101010e+01, 9.64859762563e+07, 4.08368697843e-03, 2.83605769520e-02 - 2.11010101010e+01, 9.69879796482e+07, 4.08688266233e-03, 2.83411972697e-02 - 2.11010101010e+01, 9.74899830402e+07, 4.09006278970e-03, 2.83217867122e-02 - 2.11010101010e+01, 9.79919864322e+07, 4.09322738114e-03, 2.83023469430e-02 - 2.11010101010e+01, 9.84939898241e+07, 4.09637645569e-03, 2.82828796094e-02 - 2.11010101010e+01, 9.89959932161e+07, 4.09951003167e-03, 2.82633863314e-02 - 2.11010101010e+01, 9.94979966080e+07, 4.10262812585e-03, 2.82438687136e-02 - 2.11010101010e+01, 1.00000000000e+08, 4.10573075393e-03, 2.82243283396e-02 - 2.31111111111e+01, 1.01325000000e+05, 2.80716434999e-02, 6.10379320954e-04 - 2.31111111111e+01, 6.03328391960e+05, 4.91975275399e-03, 3.60794655222e-03 - 2.31111111111e+01, 1.10533178392e+06, 2.80679116974e-03, 6.42017744155e-03 - 2.31111111111e+01, 1.60733517588e+06, 2.02107962539e-03, 9.05188846586e-03 - 2.31111111111e+01, 2.10933856784e+06, 1.61594059771e-03, 1.15074401671e-02 - 2.31111111111e+01, 2.61134195980e+06, 1.37288278719e-03, 1.37906330645e-02 - 2.31111111111e+01, 3.11334535176e+06, 1.21462210903e-03, 1.59045514567e-02 - 2.31111111111e+01, 3.61534874372e+06, 1.10718540191e-03, 1.78513163685e-02 - 2.31111111111e+01, 4.11735213568e+06, 1.03373609474e-03, 1.96316660068e-02 - 2.31111111111e+01, 4.61935552764e+06, 9.85689200931e-04, 2.12441679784e-02 - 2.31111111111e+01, 5.12135891960e+06, 9.59613085357e-04, 2.26834981304e-02 - 2.31111111111e+01, 5.62336231156e+06, 9.57696907603e-04, 2.39355951699e-02 - 2.31111111111e+01, 6.12536570352e+06, 1.00017208517e-03, 2.49541780555e-02 - 2.31111111111e+01, 6.62736909548e+06, 2.89209822761e-03, 2.51948718105e-02 - 2.31111111111e+01, 7.12937248744e+06, 2.95782486469e-03, 2.54929257172e-02 - 2.31111111111e+01, 7.63137587940e+06, 3.00976329782e-03, 2.57438243272e-02 - 2.31111111111e+01, 8.13337927136e+06, 3.05315082151e-03, 2.59628838188e-02 - 2.31111111111e+01, 8.63538266332e+06, 3.09064559920e-03, 2.61583467469e-02 - 2.31111111111e+01, 9.13738605528e+06, 3.12380542052e-03, 2.63353169486e-02 - 2.31111111111e+01, 9.63938944724e+06, 3.15362971491e-03, 2.64972409585e-02 - 2.31111111111e+01, 1.01413928392e+07, 3.18080131092e-03, 2.66465880560e-02 - 2.31111111111e+01, 1.06433962312e+07, 3.20580893968e-03, 2.67852050494e-02 - 2.31111111111e+01, 1.11453996231e+07, 3.22901520731e-03, 2.69145189897e-02 - 2.31111111111e+01, 1.16474030151e+07, 3.25069697531e-03, 2.70356611924e-02 - 2.31111111111e+01, 1.21494064070e+07, 3.27107066460e-03, 2.71495472707e-02 - 2.31111111111e+01, 1.26514097990e+07, 3.29030880795e-03, 2.72569310352e-02 - 2.31111111111e+01, 1.31534131910e+07, 3.30855126714e-03, 2.73584420822e-02 - 2.31111111111e+01, 1.36554165829e+07, 3.32591306341e-03, 2.74546127777e-02 - 2.31111111111e+01, 1.41574199749e+07, 3.34248998341e-03, 2.75458981087e-02 - 2.31111111111e+01, 1.46594233668e+07, 3.35836268106e-03, 2.76326905945e-02 - 2.31111111111e+01, 1.51614267588e+07, 3.37359973647e-03, 2.77153316915e-02 - 2.31111111111e+01, 1.56634301508e+07, 3.38825997569e-03, 2.77941206538e-02 - 2.31111111111e+01, 1.61654335427e+07, 3.40239425628e-03, 2.78693215137e-02 - 2.31111111111e+01, 1.66674369347e+07, 3.41604686023e-03, 2.79411686482e-02 - 2.31111111111e+01, 1.71694403266e+07, 3.42925659361e-03, 2.80098712671e-02 - 2.31111111111e+01, 1.76714437186e+07, 3.44205766441e-03, 2.80756170679e-02 - 2.31111111111e+01, 1.81734471106e+07, 3.45448039006e-03, 2.81385752382e-02 - 2.31111111111e+01, 1.86754505025e+07, 3.46655177316e-03, 2.81988989433e-02 - 2.31111111111e+01, 1.91774538945e+07, 3.47829597366e-03, 2.82567274009e-02 - 2.31111111111e+01, 1.96794572864e+07, 3.48973469934e-03, 2.83121876253e-02 - 2.31111111111e+01, 2.01814606784e+07, 3.50088753084e-03, 2.83653959021e-02 - 2.31111111111e+01, 2.06834640704e+07, 3.51177219418e-03, 2.84164590413e-02 - 2.31111111111e+01, 2.11854674623e+07, 3.52240479060e-03, 2.84654754504e-02 - 2.31111111111e+01, 2.16874708543e+07, 3.53279999147e-03, 2.85125360558e-02 - 2.31111111111e+01, 2.21894742462e+07, 3.54297120468e-03, 2.85577250984e-02 - 2.31111111111e+01, 2.26914776382e+07, 3.55293071711e-03, 2.86011208240e-02 - 2.31111111111e+01, 2.31934810302e+07, 3.56268981745e-03, 2.86427960852e-02 - 2.31111111111e+01, 2.36954844221e+07, 3.57225890250e-03, 2.86828188665e-02 - 2.31111111111e+01, 2.41974878141e+07, 3.58164756944e-03, 2.87212527463e-02 - 2.31111111111e+01, 2.46994912060e+07, 3.59086469640e-03, 2.87581573035e-02 - 2.31111111111e+01, 2.52014945980e+07, 3.59991851301e-03, 2.87935884771e-02 - 2.31111111111e+01, 2.57034979899e+07, 3.60881666238e-03, 2.88275988842e-02 - 2.31111111111e+01, 2.62055013819e+07, 3.61756625582e-03, 2.88602381041e-02 - 2.31111111111e+01, 2.67075047739e+07, 3.62617392117e-03, 2.88915529310e-02 - 2.31111111111e+01, 2.72095081658e+07, 3.63464584577e-03, 2.89215875995e-02 - 2.31111111111e+01, 2.77115115578e+07, 3.64298781467e-03, 2.89503839884e-02 - 2.31111111111e+01, 2.82135149497e+07, 3.65120524475e-03, 2.89779818020e-02 - 2.31111111111e+01, 2.87155183417e+07, 3.65930321523e-03, 2.90044187350e-02 - 2.31111111111e+01, 2.92175217337e+07, 3.66728649513e-03, 2.90297306207e-02 - 2.31111111111e+01, 2.97195251256e+07, 3.67515956783e-03, 2.90539515654e-02 - 2.31111111111e+01, 3.02215285176e+07, 3.68292665335e-03, 2.90771140702e-02 - 2.31111111111e+01, 3.07235319095e+07, 3.69059172841e-03, 2.90992491422e-02 - 2.31111111111e+01, 3.12255353015e+07, 3.69815854460e-03, 2.91203863953e-02 - 2.31111111111e+01, 3.17275386935e+07, 3.70563064490e-03, 2.91405541418e-02 - 2.31111111111e+01, 3.22295420854e+07, 3.71301137863e-03, 2.91597794775e-02 - 2.31111111111e+01, 3.27315454774e+07, 3.72030391517e-03, 2.91780883589e-02 - 2.31111111111e+01, 3.32335488693e+07, 3.72751125640e-03, 2.91955056732e-02 - 2.31111111111e+01, 3.37355522613e+07, 3.73463624807e-03, 2.92120553042e-02 - 2.31111111111e+01, 3.42375556533e+07, 3.74168159031e-03, 2.92277601920e-02 - 2.31111111111e+01, 3.47395590452e+07, 3.74864984711e-03, 2.92426423881e-02 - 2.31111111111e+01, 3.52415624372e+07, 3.75554345517e-03, 2.92567231067e-02 - 2.31111111111e+01, 3.57435658291e+07, 3.76236473199e-03, 2.92700227719e-02 - 2.31111111111e+01, 3.62455692211e+07, 3.76911588328e-03, 2.92825610611e-02 - 2.31111111111e+01, 3.67475726131e+07, 3.77579900988e-03, 2.92943569461e-02 - 2.31111111111e+01, 3.72495760050e+07, 3.78241611407e-03, 2.93054287305e-02 - 2.31111111111e+01, 3.77515793970e+07, 3.78896910555e-03, 2.93157940824e-02 - 2.31111111111e+01, 3.82535827889e+07, 3.79545980662e-03, 2.93254700744e-02 - 2.31111111111e+01, 3.87555861809e+07, 3.80188995758e-03, 2.93344732037e-02 - 2.31111111111e+01, 3.92575895729e+07, 3.80826122120e-03, 2.93428194269e-02 - 2.31111111111e+01, 3.97595929648e+07, 3.81457518708e-03, 2.93505241857e-02 - 2.31111111111e+01, 4.02615963568e+07, 3.82083337575e-03, 2.93576024314e-02 - 2.31111111111e+01, 4.07635997487e+07, 3.82703724244e-03, 2.93640686468e-02 - 2.31111111111e+01, 4.12656031407e+07, 3.83318818054e-03, 2.93699368703e-02 - 2.31111111111e+01, 4.17676065327e+07, 3.83928752503e-03, 2.93752207133e-02 - 2.31111111111e+01, 4.22696099246e+07, 3.84533655539e-03, 2.93799333814e-02 - 2.31111111111e+01, 4.27716133166e+07, 3.85133649861e-03, 2.93840876913e-02 - 2.31111111111e+01, 4.32736167085e+07, 3.85728853173e-03, 2.93876960896e-02 - 2.31111111111e+01, 4.37756201005e+07, 3.86319378441e-03, 2.93907706679e-02 - 2.31111111111e+01, 4.42776234925e+07, 3.86905334140e-03, 2.93933231758e-02 - 2.31111111111e+01, 4.47796268844e+07, 3.87486824467e-03, 2.93953650364e-02 - 2.31111111111e+01, 4.52816302764e+07, 3.88063949540e-03, 2.93969073623e-02 - 2.31111111111e+01, 4.57836336683e+07, 3.88636805615e-03, 2.93979609632e-02 - 2.31111111111e+01, 4.62856370603e+07, 3.89205485241e-03, 2.93985363643e-02 - 2.31111111111e+01, 4.67876404523e+07, 3.89770077467e-03, 2.93986438101e-02 - 2.31111111111e+01, 4.72896438442e+07, 3.90330667972e-03, 2.93982932830e-02 - 2.31111111111e+01, 4.77916472362e+07, 3.90887339261e-03, 2.93974945034e-02 - 2.31111111111e+01, 4.82936506281e+07, 3.91440170756e-03, 2.93962569521e-02 - 2.31111111111e+01, 4.87956540201e+07, 3.91989238973e-03, 2.93945898697e-02 - 2.31111111111e+01, 4.92976574121e+07, 3.92534617649e-03, 2.93925022671e-02 - 2.31111111111e+01, 4.97996608040e+07, 3.93076377845e-03, 2.93900029369e-02 - 2.31111111111e+01, 5.03016641960e+07, 3.93614588069e-03, 2.93871004608e-02 - 2.31111111111e+01, 5.08036675879e+07, 3.94149314402e-03, 2.93838032121e-02 - 2.31111111111e+01, 5.13056709799e+07, 3.94680620575e-03, 2.93801193703e-02 - 2.31111111111e+01, 5.18076743719e+07, 3.95208568099e-03, 2.93760569200e-02 - 2.31111111111e+01, 5.23096777638e+07, 3.95733216322e-03, 2.93716236653e-02 - 2.31111111111e+01, 5.28116811558e+07, 3.96254622555e-03, 2.93668272287e-02 - 2.31111111111e+01, 5.33136845477e+07, 3.96772842112e-03, 2.93616750649e-02 - 2.31111111111e+01, 5.38156879397e+07, 3.97287928446e-03, 2.93561744566e-02 - 2.31111111111e+01, 5.43176913317e+07, 3.97799933167e-03, 2.93503325302e-02 - 2.31111111111e+01, 5.48196947236e+07, 3.98308906164e-03, 2.93441562521e-02 - 2.31111111111e+01, 5.53216981156e+07, 3.98814895637e-03, 2.93376524397e-02 - 2.31111111111e+01, 5.58237015075e+07, 3.99317948175e-03, 2.93308277645e-02 - 2.31111111111e+01, 5.63257048995e+07, 3.99818108829e-03, 2.93236887546e-02 - 2.31111111111e+01, 5.68277082915e+07, 4.00315421163e-03, 2.93162418000e-02 - 2.31111111111e+01, 5.73297116834e+07, 4.00809927294e-03, 2.93084931602e-02 - 2.31111111111e+01, 5.78317150754e+07, 4.01301667971e-03, 2.93004489636e-02 - 2.31111111111e+01, 5.83337184673e+07, 4.01790682629e-03, 2.92921152108e-02 - 2.31111111111e+01, 5.88357218593e+07, 4.02277009400e-03, 2.92834977850e-02 - 2.31111111111e+01, 5.93377252513e+07, 4.02760685196e-03, 2.92746024492e-02 - 2.31111111111e+01, 5.98397286432e+07, 4.03241745760e-03, 2.92654348484e-02 - 2.31111111111e+01, 6.03417320352e+07, 4.03720225670e-03, 2.92560005198e-02 - 2.31111111111e+01, 6.08437354271e+07, 4.04196158403e-03, 2.92463048915e-02 - 2.31111111111e+01, 6.13457388191e+07, 4.04669576386e-03, 2.92363532843e-02 - 2.31111111111e+01, 6.18477422111e+07, 4.05140511016e-03, 2.92261509167e-02 - 2.31111111111e+01, 6.23497456030e+07, 4.05608992688e-03, 2.92157029092e-02 - 2.31111111111e+01, 6.28517489950e+07, 4.06075050855e-03, 2.92050142829e-02 - 2.31111111111e+01, 6.33537523869e+07, 4.06538714037e-03, 2.91940899662e-02 - 2.31111111111e+01, 6.38557557789e+07, 4.07000009877e-03, 2.91829347929e-02 - 2.31111111111e+01, 6.43577591709e+07, 4.07458965138e-03, 2.91715535099e-02 - 2.31111111111e+01, 6.48597625628e+07, 4.07915605767e-03, 2.91599507745e-02 - 2.31111111111e+01, 6.53617659548e+07, 4.08369956896e-03, 2.91481311600e-02 - 2.31111111111e+01, 6.58637693467e+07, 4.08822042880e-03, 2.91360991573e-02 - 2.31111111111e+01, 6.63657727387e+07, 4.09271887321e-03, 2.91238591758e-02 - 2.31111111111e+01, 6.68677761307e+07, 4.09719513093e-03, 2.91114155461e-02 - 2.31111111111e+01, 6.73697795226e+07, 4.10164942368e-03, 2.90987725221e-02 - 2.31111111111e+01, 6.78717829146e+07, 4.10608196635e-03, 2.90859342822e-02 - 2.31111111111e+01, 6.83737863065e+07, 4.11049296722e-03, 2.90729049321e-02 - 2.31111111111e+01, 6.88757896985e+07, 4.11488262810e-03, 2.90596885071e-02 - 2.31111111111e+01, 6.93777930905e+07, 4.11925114466e-03, 2.90462889721e-02 - 2.31111111111e+01, 6.98797964824e+07, 4.12359870679e-03, 2.90327102203e-02 - 2.31111111111e+01, 7.03817998744e+07, 4.12792549815e-03, 2.90189560855e-02 - 2.31111111111e+01, 7.08838032663e+07, 4.13223169702e-03, 2.90050303317e-02 - 2.31111111111e+01, 7.13858066583e+07, 4.13651747607e-03, 2.89909366626e-02 - 2.31111111111e+01, 7.18878100503e+07, 4.14078300292e-03, 2.89766787157e-02 - 2.31111111111e+01, 7.23898134422e+07, 4.14502843982e-03, 2.89622600720e-02 - 2.31111111111e+01, 7.28918168342e+07, 4.14925394406e-03, 2.89476842524e-02 - 2.31111111111e+01, 7.33938202261e+07, 4.15345966808e-03, 2.89329547205e-02 - 2.31111111111e+01, 7.38958236181e+07, 4.15764575985e-03, 2.89180748801e-02 - 2.31111111111e+01, 7.43978270101e+07, 4.16181236253e-03, 2.89030480834e-02 - 2.31111111111e+01, 7.48998304020e+07, 4.16595961483e-03, 2.88878776289e-02 - 2.31111111111e+01, 7.54018337940e+07, 4.17008765149e-03, 2.88725667574e-02 - 2.31111111111e+01, 7.59038371859e+07, 4.17419660261e-03, 2.88571186649e-02 - 2.31111111111e+01, 7.64058405779e+07, 4.17828659457e-03, 2.88415364920e-02 - 2.31111111111e+01, 7.69078439698e+07, 4.18235774971e-03, 2.88258233311e-02 - 2.31111111111e+01, 7.74098473618e+07, 4.18641018648e-03, 2.88099822273e-02 - 2.31111111111e+01, 7.79118507538e+07, 4.19044401994e-03, 2.87940161731e-02 - 2.31111111111e+01, 7.84138541457e+07, 4.19445936096e-03, 2.87779281230e-02 - 2.31111111111e+01, 7.89158575377e+07, 4.19845631740e-03, 2.87617209788e-02 - 2.31111111111e+01, 7.94178609296e+07, 4.20243499336e-03, 2.87453976025e-02 - 2.31111111111e+01, 7.99198643216e+07, 4.20639548995e-03, 2.87289608080e-02 - 2.31111111111e+01, 8.04218677136e+07, 4.21033790475e-03, 2.87124133699e-02 - 2.31111111111e+01, 8.09238711055e+07, 4.21426233218e-03, 2.86957580220e-02 - 2.31111111111e+01, 8.14258744975e+07, 4.21816886403e-03, 2.86789974504e-02 - 2.31111111111e+01, 8.19278778894e+07, 4.22205758851e-03, 2.86621343096e-02 - 2.31111111111e+01, 8.24298812814e+07, 4.22592859134e-03, 2.86451712086e-02 - 2.31111111111e+01, 8.29318846734e+07, 4.22978195522e-03, 2.86281107211e-02 - 2.31111111111e+01, 8.34338880653e+07, 4.23361776030e-03, 2.86109553794e-02 - 2.31111111111e+01, 8.39358914573e+07, 4.23743608389e-03, 2.85937076815e-02 - 2.31111111111e+01, 8.44378948492e+07, 4.24123700053e-03, 2.85763700907e-02 - 2.31111111111e+01, 8.49398982412e+07, 4.24502058280e-03, 2.85589450270e-02 - 2.31111111111e+01, 8.54419016332e+07, 4.24878690007e-03, 2.85414348854e-02 - 2.31111111111e+01, 8.59439050251e+07, 4.25253601984e-03, 2.85238420187e-02 - 2.31111111111e+01, 8.64459084171e+07, 4.25626800694e-03, 2.85061687506e-02 - 2.31111111111e+01, 8.69479118090e+07, 4.25998292415e-03, 2.84884173687e-02 - 2.31111111111e+01, 8.74499152010e+07, 4.26368083190e-03, 2.84705901292e-02 - 2.31111111111e+01, 8.79519185930e+07, 4.26736178844e-03, 2.84526892567e-02 - 2.31111111111e+01, 8.84539219849e+07, 4.27102585005e-03, 2.84347169428e-02 - 2.31111111111e+01, 8.89559253769e+07, 4.27467307046e-03, 2.84166753542e-02 - 2.31111111111e+01, 8.94579287688e+07, 4.27830350219e-03, 2.83985666171e-02 - 2.31111111111e+01, 8.99599321608e+07, 4.28191719490e-03, 2.83803928399e-02 - 2.31111111111e+01, 9.04619355528e+07, 4.28551419710e-03, 2.83621560917e-02 - 2.31111111111e+01, 9.09639389447e+07, 4.28909455486e-03, 2.83438584205e-02 - 2.31111111111e+01, 9.14659423367e+07, 4.29265831269e-03, 2.83255018428e-02 - 2.31111111111e+01, 9.19679457286e+07, 4.29620551333e-03, 2.83070883474e-02 - 2.31111111111e+01, 9.24699491206e+07, 4.29973619771e-03, 2.82886198970e-02 - 2.31111111111e+01, 9.29719525126e+07, 4.30325040517e-03, 2.82700984263e-02 - 2.31111111111e+01, 9.34739559045e+07, 4.30674817339e-03, 2.82515258438e-02 - 2.31111111111e+01, 9.39759592965e+07, 4.31022953799e-03, 2.82329040384e-02 - 2.31111111111e+01, 9.44779626884e+07, 4.31369453355e-03, 2.82142348664e-02 - 2.31111111111e+01, 9.49799660804e+07, 4.31714319306e-03, 2.81955201604e-02 - 2.31111111111e+01, 9.54819694724e+07, 4.32057554779e-03, 2.81767617313e-02 - 2.31111111111e+01, 9.59839728643e+07, 4.32399162747e-03, 2.81579613665e-02 - 2.31111111111e+01, 9.64859762563e+07, 4.32739146077e-03, 2.81391208258e-02 - 2.31111111111e+01, 9.69879796482e+07, 4.33077507455e-03, 2.81202418504e-02 - 2.31111111111e+01, 9.74899830402e+07, 4.33414249468e-03, 2.81013261547e-02 - 2.31111111111e+01, 9.79919864322e+07, 4.33749374529e-03, 2.80823754351e-02 - 2.31111111111e+01, 9.84939898241e+07, 4.34082884939e-03, 2.80633913641e-02 - 2.31111111111e+01, 9.89959932161e+07, 4.34414782884e-03, 2.80443755907e-02 - 2.31111111111e+01, 9.94979966080e+07, 4.34745070423e-03, 2.80253297434e-02 - 2.31111111111e+01, 1.00000000000e+08, 4.35073749450e-03, 2.80062554346e-02 - 2.51212121212e+01, 1.01325000000e+05, 3.16628690597e-02, 5.79563257992e-04 - 2.51212121212e+01, 6.03328391960e+05, 5.54599795330e-03, 3.43810565944e-03 - 2.51212121212e+01, 1.10533178392e+06, 3.16206670824e-03, 6.12289293069e-03 - 2.51212121212e+01, 1.60733517588e+06, 2.27527118180e-03, 8.63841547650e-03 - 2.51212121212e+01, 2.10933856784e+06, 1.81768868258e-03, 1.09887554498e-02 - 2.51212121212e+01, 2.61134195980e+06, 1.54281768988e-03, 1.31774968141e-02 - 2.51212121212e+01, 3.11334535176e+06, 1.36342808578e-03, 1.52075921779e-02 - 2.51212121212e+01, 3.61534874372e+06, 1.24111473373e-03, 1.70811557886e-02 - 2.51212121212e+01, 4.11735213568e+06, 1.15673996734e-03, 1.87991201704e-02 - 2.51212121212e+01, 4.61935552764e+06, 1.10033178717e-03, 2.03606130897e-02 - 2.51212121212e+01, 5.12135891960e+06, 1.06734783343e-03, 2.17616690100e-02 - 2.51212121212e+01, 5.62336231156e+06, 1.05819009741e-03, 2.29919542759e-02 - 2.51212121212e+01, 6.12536570352e+06, 1.08356501865e-03, 2.40226087467e-02 - 2.51212121212e+01, 6.62736909548e+06, 2.94459596696e-03, 2.44038869499e-02 - 2.51212121212e+01, 7.12937248744e+06, 3.05054106793e-03, 2.47901066639e-02 - 2.51212121212e+01, 7.63137587940e+06, 3.12431583214e-03, 2.50911323384e-02 - 2.51212121212e+01, 8.13337927136e+06, 3.18214699823e-03, 2.53447394850e-02 - 2.51212121212e+01, 8.63538266332e+06, 3.23018504984e-03, 2.55663864822e-02 - 2.51212121212e+01, 9.13738605528e+06, 3.27151640127e-03, 2.57643523751e-02 - 2.51212121212e+01, 9.63938944724e+06, 3.30793621609e-03, 2.59437449313e-02 - 2.51212121212e+01, 1.01413928392e+07, 3.34059034605e-03, 2.61080082407e-02 - 2.51212121212e+01, 1.06433962312e+07, 3.37025877360e-03, 2.62596101494e-02 - 2.51212121212e+01, 1.11453996231e+07, 3.39749815905e-03, 2.64003983829e-02 - 2.51212121212e+01, 1.16474030151e+07, 3.42272050704e-03, 2.65318028958e-02 - 2.51212121212e+01, 1.21494064070e+07, 3.44623971857e-03, 2.66549592136e-02 - 2.51212121212e+01, 1.26514097990e+07, 3.46830067946e-03, 2.67707878683e-02 - 2.51212121212e+01, 1.31534131910e+07, 3.48909824737e-03, 2.68800478636e-02 - 2.51212121212e+01, 1.36554165829e+07, 3.50879009676e-03, 2.69833739734e-02 - 2.51212121212e+01, 1.41574199749e+07, 3.52750567280e-03, 2.70813035478e-02 - 2.51212121212e+01, 1.46594233668e+07, 3.54535259343e-03, 2.71742962631e-02 - 2.51212121212e+01, 1.51614267588e+07, 3.56242132818e-03, 2.72627489822e-02 - 2.51212121212e+01, 1.56634301508e+07, 3.57878868351e-03, 2.73470071439e-02 - 2.51212121212e+01, 1.61654335427e+07, 3.59452044290e-03, 2.74273736260e-02 - 2.51212121212e+01, 1.66674369347e+07, 3.60967339690e-03, 2.75041157419e-02 - 2.51212121212e+01, 1.71694403266e+07, 3.62429692489e-03, 2.75774708291e-02 - 2.51212121212e+01, 1.76714437186e+07, 3.63843424263e-03, 2.76476507632e-02 - 2.51212121212e+01, 1.81734471106e+07, 3.65212339686e-03, 2.77148456381e-02 - 2.51212121212e+01, 1.86754505025e+07, 3.66539806626e-03, 2.77792267946e-02 - 2.51212121212e+01, 1.91774538945e+07, 3.67828821233e-03, 2.78409493318e-02 - 2.51212121212e+01, 1.96794572864e+07, 3.69082061270e-03, 2.79001542049e-02 - 2.51212121212e+01, 2.01814606784e+07, 3.70301930169e-03, 2.79569699895e-02 - 2.51212121212e+01, 2.06834640704e+07, 3.71490593659e-03, 2.80115143753e-02 - 2.51212121212e+01, 2.11854674623e+07, 3.72650010449e-03, 2.80638954363e-02 - 2.51212121212e+01, 2.16874708543e+07, 3.73781958070e-03, 2.81142127185e-02 - 2.51212121212e+01, 2.21894742462e+07, 3.74888054783e-03, 2.81625581752e-02 - 2.51212121212e+01, 2.26914776382e+07, 3.75969778239e-03, 2.82090169747e-02 - 2.51212121212e+01, 2.31934810302e+07, 3.77028481464e-03, 2.82536682012e-02 - 2.51212121212e+01, 2.36954844221e+07, 3.78065406612e-03, 2.82965854660e-02 - 2.51212121212e+01, 2.41974878141e+07, 3.79081696858e-03, 2.83378374415e-02 - 2.51212121212e+01, 2.46994912060e+07, 3.80078406717e-03, 2.83774883305e-02 - 2.51212121212e+01, 2.52014945980e+07, 3.81056511042e-03, 2.84155982793e-02 - 2.51212121212e+01, 2.57034979899e+07, 3.82016912898e-03, 2.84522237431e-02 - 2.51212121212e+01, 2.62055013819e+07, 3.82960450475e-03, 2.84874178101e-02 - 2.51212121212e+01, 2.67075047739e+07, 3.83887903177e-03, 2.85212304888e-02 - 2.51212121212e+01, 2.72095081658e+07, 3.84799997011e-03, 2.85537089663e-02 - 2.51212121212e+01, 2.77115115578e+07, 3.85697409363e-03, 2.85848978365e-02 - 2.51212121212e+01, 2.82135149497e+07, 3.86580773244e-03, 2.86148393074e-02 - 2.51212121212e+01, 2.87155183417e+07, 3.87450681081e-03, 2.86435733855e-02 - 2.51212121212e+01, 2.92175217337e+07, 3.88307688104e-03, 2.86711380434e-02 - 2.51212121212e+01, 2.97195251256e+07, 3.89152315385e-03, 2.86975693700e-02 - 2.51212121212e+01, 3.02215285176e+07, 3.89985052573e-03, 2.87229017073e-02 - 2.51212121212e+01, 3.07235319095e+07, 3.90806360351e-03, 2.87471677737e-02 - 2.51212121212e+01, 3.12255353015e+07, 3.91616672658e-03, 2.87703987772e-02 - 2.51212121212e+01, 3.17275386935e+07, 3.92416398704e-03, 2.87926245175e-02 - 2.51212121212e+01, 3.22295420854e+07, 3.93205924789e-03, 2.88138734792e-02 - 2.51212121212e+01, 3.27315454774e+07, 3.93985615964e-03, 2.88341729181e-02 - 2.51212121212e+01, 3.32335488693e+07, 3.94755817541e-03, 2.88535489385e-02 - 2.51212121212e+01, 3.37355522613e+07, 3.95516856461e-03, 2.88720265661e-02 - 2.51212121212e+01, 3.42375556533e+07, 3.96269042561e-03, 2.88896298128e-02 - 2.51212121212e+01, 3.47395590452e+07, 3.97012669720e-03, 2.89063817388e-02 - 2.51212121212e+01, 3.52415624372e+07, 3.97748016911e-03, 2.89223045074e-02 - 2.51212121212e+01, 3.57435658291e+07, 3.98475349176e-03, 2.89374194373e-02 - 2.51212121212e+01, 3.62455692211e+07, 3.99194918513e-03, 2.89517470502e-02 - 2.51212121212e+01, 3.67475726131e+07, 3.99906964693e-03, 2.89653071155e-02 - 2.51212121212e+01, 3.72495760050e+07, 4.00611716023e-03, 2.89781186906e-02 - 2.51212121212e+01, 3.77515793970e+07, 4.01309390040e-03, 2.89902001593e-02 - 2.51212121212e+01, 3.82535827889e+07, 4.02000194157e-03, 2.90015692677e-02 - 2.51212121212e+01, 3.87555861809e+07, 4.02684326262e-03, 2.90122431566e-02 - 2.51212121212e+01, 3.92575895729e+07, 4.03361975272e-03, 2.90222383916e-02 - 2.51212121212e+01, 3.97595929648e+07, 4.04033321645e-03, 2.90315709941e-02 - 2.51212121212e+01, 4.02615963568e+07, 4.04698537864e-03, 2.90402564648e-02 - 2.51212121212e+01, 4.07635997487e+07, 4.05357788868e-03, 2.90483098122e-02 - 2.51212121212e+01, 4.12656031407e+07, 4.06011232495e-03, 2.90557455711e-02 - 2.51212121212e+01, 4.17676065327e+07, 4.06659019825e-03, 2.90625778313e-02 - 2.51212121212e+01, 4.22696099246e+07, 4.07301295585e-03, 2.90688202508e-02 - 2.51212121212e+01, 4.27716133166e+07, 4.07938198443e-03, 2.90744860832e-02 - 2.51212121212e+01, 4.32736167085e+07, 4.08569861350e-03, 2.90795881892e-02 - 2.51212121212e+01, 4.37756201005e+07, 4.09196411847e-03, 2.90841390530e-02 - 2.51212121212e+01, 4.42776234925e+07, 4.09817972287e-03, 2.90881508080e-02 - 2.51212121212e+01, 4.47796268844e+07, 4.10434660149e-03, 2.90916352404e-02 - 2.51212121212e+01, 4.52816302764e+07, 4.11046588258e-03, 2.90946038090e-02 - 2.51212121212e+01, 4.57836336683e+07, 4.11653865000e-03, 2.90970676610e-02 - 2.51212121212e+01, 4.62856370603e+07, 4.12256594565e-03, 2.90990376381e-02 - 2.51212121212e+01, 4.67876404523e+07, 4.12854877122e-03, 2.91005242951e-02 - 2.51212121212e+01, 4.72896438442e+07, 4.13448809016e-03, 2.91015379087e-02 - 2.51212121212e+01, 4.77916472362e+07, 4.14038482960e-03, 2.91020884859e-02 - 2.51212121212e+01, 4.82936506281e+07, 4.14623988171e-03, 2.91021857811e-02 - 2.51212121212e+01, 4.87956540201e+07, 4.15205410583e-03, 2.91018392945e-02 - 2.51212121212e+01, 4.92976574121e+07, 4.15782832928e-03, 2.91010582948e-02 - 2.51212121212e+01, 4.97996608040e+07, 4.16356334935e-03, 2.90998518173e-02 - 2.51212121212e+01, 5.03016641960e+07, 4.16925993426e-03, 2.90982286786e-02 - 2.51212121212e+01, 5.08036675879e+07, 4.17491882469e-03, 2.90961974806e-02 - 2.51212121212e+01, 5.13056709799e+07, 4.18054073474e-03, 2.90937666209e-02 - 2.51212121212e+01, 5.18076743719e+07, 4.18612635342e-03, 2.90909442955e-02 - 2.51212121212e+01, 5.23096777638e+07, 4.19167634514e-03, 2.90877385139e-02 - 2.51212121212e+01, 5.28116811558e+07, 4.19719135134e-03, 2.90841570965e-02 - 2.51212121212e+01, 5.33136845477e+07, 4.20267199107e-03, 2.90802076868e-02 - 2.51212121212e+01, 5.38156879397e+07, 4.20811886199e-03, 2.90758977556e-02 - 2.51212121212e+01, 5.43176913317e+07, 4.21353254141e-03, 2.90712346044e-02 - 2.51212121212e+01, 5.48196947236e+07, 4.21891358681e-03, 2.90662253757e-02 - 2.51212121212e+01, 5.53216981156e+07, 4.22426253694e-03, 2.90608770531e-02 - 2.51212121212e+01, 5.58237015075e+07, 4.22957991225e-03, 2.90551964713e-02 - 2.51212121212e+01, 5.63257048995e+07, 4.23486621584e-03, 2.90491903167e-02 - 2.51212121212e+01, 5.68277082915e+07, 4.24012193433e-03, 2.90428651293e-02 - 2.51212121212e+01, 5.73297116834e+07, 4.24534753772e-03, 2.90362273195e-02 - 2.51212121212e+01, 5.78317150754e+07, 4.25054348091e-03, 2.90292831579e-02 - 2.51212121212e+01, 5.83337184673e+07, 4.25571020381e-03, 2.90220387867e-02 - 2.51212121212e+01, 5.88357218593e+07, 4.26084813198e-03, 2.90145002217e-02 - 2.51212121212e+01, 5.93377252513e+07, 4.26595767713e-03, 2.90066733582e-02 - 2.51212121212e+01, 5.98397286432e+07, 4.27103923769e-03, 2.89985639716e-02 - 2.51212121212e+01, 6.03417320352e+07, 4.27609319935e-03, 2.89901777213e-02 - 2.51212121212e+01, 6.08437354271e+07, 4.28111993532e-03, 2.89815201563e-02 - 2.51212121212e+01, 6.13457388191e+07, 4.28611980690e-03, 2.89725967174e-02 - 2.51212121212e+01, 6.18477422111e+07, 4.29109316417e-03, 2.89634127348e-02 - 2.51212121212e+01, 6.23497456030e+07, 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1.24245312044e-01, 8.47484059464e-02 - 2.00000000000e+02, 4.12656031407e+07, 1.23994744114e-01, 8.53215792874e-02 - 2.00000000000e+02, 4.17676065327e+07, 1.23750573246e-01, 8.58877772797e-02 - 2.00000000000e+02, 4.22696099246e+07, 1.23512488772e-01, 8.64471065576e-02 - 2.00000000000e+02, 4.27716133166e+07, 1.23280200354e-01, 8.69996714603e-02 - 2.00000000000e+02, 4.32736167085e+07, 1.23053436453e-01, 8.75455742223e-02 - 2.00000000000e+02, 4.37756201005e+07, 1.22831942924e-01, 8.80849151400e-02 - 2.00000000000e+02, 4.42776234925e+07, 1.22615481718e-01, 8.86177927122e-02 - 2.00000000000e+02, 4.47796268844e+07, 1.22403829695e-01, 8.91443037578e-02 - 2.00000000000e+02, 4.52816302764e+07, 1.22196777524e-01, 8.96645435114e-02 - 2.00000000000e+02, 4.57836336683e+07, 1.21994128683e-01, 9.01786056991e-02 - 2.00000000000e+02, 4.62856370603e+07, 1.21795698532e-01, 9.06865825951e-02 - 2.00000000000e+02, 4.67876404523e+07, 1.21601313464e-01, 9.11885650642e-02 - 2.00000000000e+02, 4.72896438442e+07, 1.21410810131e-01, 9.16846425873e-02 - 2.00000000000e+02, 4.77916472362e+07, 1.21224034722e-01, 9.21749032778e-02 - 2.00000000000e+02, 4.82936506281e+07, 1.21040842310e-01, 9.26594338859e-02 - 2.00000000000e+02, 4.87956540201e+07, 1.20861096249e-01, 9.31383197954e-02 - 2.00000000000e+02, 4.92976574121e+07, 1.20684667617e-01, 9.36116450152e-02 - 2.00000000000e+02, 4.97996608040e+07, 1.20511434704e-01, 9.40794921646e-02 - 2.00000000000e+02, 5.03016641960e+07, 1.20341282543e-01, 9.45419424560e-02 - 2.00000000000e+02, 5.08036675879e+07, 1.20174102478e-01, 9.49990756777e-02 - 2.00000000000e+02, 5.13056709799e+07, 1.20009791759e-01, 9.54509701738e-02 - 2.00000000000e+02, 5.18076743719e+07, 1.19848253174e-01, 9.58977028251e-02 - 2.00000000000e+02, 5.23096777638e+07, 1.19689394709e-01, 9.63393490341e-02 - 2.00000000000e+02, 5.28116811558e+07, 1.19533129224e-01, 9.67759827079e-02 - 2.00000000000e+02, 5.33136845477e+07, 1.19379374166e-01, 9.72076762485e-02 - 2.00000000000e+02, 5.38156879397e+07, 1.19228051286e-01, 9.76345005431e-02 - 2.00000000000e+02, 5.43176913317e+07, 1.19079086391e-01, 9.80565249597e-02 - 2.00000000000e+02, 5.48196947236e+07, 1.18932409102e-01, 9.84738173459e-02 - 2.00000000000e+02, 5.53216981156e+07, 1.18787952632e-01, 9.88864440322e-02 - 2.00000000000e+02, 5.58237015075e+07, 1.18645653578e-01, 9.92944698392e-02 - 2.00000000000e+02, 5.63257048995e+07, 1.18505451724e-01, 9.96979580883e-02 - 2.00000000000e+02, 5.68277082915e+07, 1.18367289861e-01, 1.00096970617e-01 - 2.00000000000e+02, 5.73297116834e+07, 1.18231113609e-01, 1.00491567799e-01 - 2.00000000000e+02, 5.78317150754e+07, 1.18096871261e-01, 1.00881808565e-01 - 2.00000000000e+02, 5.83337184673e+07, 1.17964513625e-01, 1.01267750426e-01 - 2.00000000000e+02, 5.88357218593e+07, 1.17833993884e-01, 1.01649449509e-01 - 2.00000000000e+02, 5.93377252513e+07, 1.17705267456e-01, 1.02026960579e-01 - 2.00000000000e+02, 5.98397286432e+07, 1.17578291869e-01, 1.02400337081e-01 - 2.00000000000e+02, 6.03417320352e+07, 1.17453026635e-01, 1.02769631170e-01 - 2.00000000000e+02, 6.08437354271e+07, 1.17329433142e-01, 1.03134893750e-01 - 2.00000000000e+02, 6.13457388191e+07, 1.17207474537e-01, 1.03496174514e-01 - 2.00000000000e+02, 6.18477422111e+07, 1.17087115630e-01, 1.03853521980e-01 - 2.00000000000e+02, 6.23497456030e+07, 1.16968322793e-01, 1.04206983538e-01 - 2.00000000000e+02, 6.28517489950e+07, 1.16851063870e-01, 1.04556605484e-01 - 2.00000000000e+02, 6.33537523869e+07, 1.16735308089e-01, 1.04902433064e-01 - 2.00000000000e+02, 6.38557557789e+07, 1.16621025980e-01, 1.05244510518e-01 - 2.00000000000e+02, 6.43577591709e+07, 1.16508189298e-01, 1.05582881114e-01 - 2.00000000000e+02, 6.48597625628e+07, 1.16396770948e-01, 1.05917587198e-01 - 2.00000000000e+02, 6.53617659548e+07, 1.16286744917e-01, 1.06248670223e-01 - 2.00000000000e+02, 6.58637693467e+07, 1.16178086210e-01, 1.06576170795e-01 - 2.00000000000e+02, 6.63657727387e+07, 1.16070770784e-01, 1.06900128709e-01 - 2.00000000000e+02, 6.68677761307e+07, 1.15964775496e-01, 1.07220582985e-01 - 2.00000000000e+02, 6.73697795226e+07, 1.15860078044e-01, 1.07537571903e-01 - 2.00000000000e+02, 6.78717829146e+07, 1.15756656917e-01, 1.07851133038e-01 - 2.00000000000e+02, 6.83737863065e+07, 1.15654491347e-01, 1.08161303294e-01 - 2.00000000000e+02, 6.88757896985e+07, 1.15553561264e-01, 1.08468118932e-01 - 2.00000000000e+02, 6.93777930905e+07, 1.15453847253e-01, 1.08771615601e-01 - 2.00000000000e+02, 6.98797964824e+07, 1.15355330514e-01, 1.09071828371e-01 - 2.00000000000e+02, 7.03817998744e+07, 1.15257992827e-01, 1.09368791749e-01 - 2.00000000000e+02, 7.08838032663e+07, 1.15161816514e-01, 1.09662539716e-01 - 2.00000000000e+02, 7.13858066583e+07, 1.15066784410e-01, 1.09953105743e-01 - 2.00000000000e+02, 7.18878100503e+07, 1.14972879828e-01, 1.10240522817e-01 - 2.00000000000e+02, 7.23898134422e+07, 1.14880086537e-01, 1.10524823461e-01 - 2.00000000000e+02, 7.28918168342e+07, 1.14788388730e-01, 1.10806039752e-01 - 2.00000000000e+02, 7.33938202261e+07, 1.14697771005e-01, 1.11084203341e-01 - 2.00000000000e+02, 7.38958236181e+07, 1.14608218336e-01, 1.11359345470e-01 - 2.00000000000e+02, 7.43978270101e+07, 1.14519716056e-01, 1.11631496984e-01 - 2.00000000000e+02, 7.48998304020e+07, 1.14432249840e-01, 1.11900688352e-01 - 2.00000000000e+02, 7.54018337940e+07, 1.14345805678e-01, 1.12166949673e-01 - 2.00000000000e+02, 7.59038371859e+07, 1.14260369868e-01, 1.12430310695e-01 - 2.00000000000e+02, 7.64058405779e+07, 1.14175928995e-01, 1.12690800820e-01 - 2.00000000000e+02, 7.69078439698e+07, 1.14092469917e-01, 1.12948449119e-01 - 2.00000000000e+02, 7.74098473618e+07, 1.14009979754e-01, 1.13203284338e-01 - 2.00000000000e+02, 7.79118507538e+07, 1.13928445872e-01, 1.13455334910e-01 - 2.00000000000e+02, 7.84138541457e+07, 1.13847855877e-01, 1.13704628959e-01 - 2.00000000000e+02, 7.89158575377e+07, 1.13768197598e-01, 1.13951194310e-01 - 2.00000000000e+02, 7.94178609296e+07, 1.13689459083e-01, 1.14195058495e-01 - 2.00000000000e+02, 7.99198643216e+07, 1.13611628587e-01, 1.14436248756e-01 - 2.00000000000e+02, 8.04218677136e+07, 1.13534694564e-01, 1.14674792056e-01 - 2.00000000000e+02, 8.09238711055e+07, 1.13458645663e-01, 1.14910715076e-01 - 2.00000000000e+02, 8.14258744975e+07, 1.13383470714e-01, 1.15144044227e-01 - 2.00000000000e+02, 8.19278778894e+07, 1.13309158727e-01, 1.15374805650e-01 - 2.00000000000e+02, 8.24298812814e+07, 1.13235698886e-01, 1.15603025220e-01 - 2.00000000000e+02, 8.29318846734e+07, 1.13163080541e-01, 1.15828728548e-01 - 2.00000000000e+02, 8.34338880653e+07, 1.13091293203e-01, 1.16051940987e-01 - 2.00000000000e+02, 8.39358914573e+07, 1.13020326542e-01, 1.16272687633e-01 - 2.00000000000e+02, 8.44378948492e+07, 1.12950170379e-01, 1.16490993327e-01 - 2.00000000000e+02, 8.49398982412e+07, 1.12880814686e-01, 1.16706882658e-01 - 2.00000000000e+02, 8.54419016332e+07, 1.12812249578e-01, 1.16920379964e-01 - 2.00000000000e+02, 8.59439050251e+07, 1.12744465312e-01, 1.17131509337e-01 - 2.00000000000e+02, 8.64459084171e+07, 1.12677452285e-01, 1.17340294621e-01 - 2.00000000000e+02, 8.69479118090e+07, 1.12611201026e-01, 1.17546759416e-01 - 2.00000000000e+02, 8.74499152010e+07, 1.12545702200e-01, 1.17750927079e-01 - 2.00000000000e+02, 8.79519185930e+07, 1.12480946597e-01, 1.17952820726e-01 - 2.00000000000e+02, 8.84539219849e+07, 1.12416925140e-01, 1.18152463232e-01 - 2.00000000000e+02, 8.89559253769e+07, 1.12353628871e-01, 1.18349877237e-01 - 2.00000000000e+02, 8.94579287688e+07, 1.12291048957e-01, 1.18545085140e-01 - 2.00000000000e+02, 8.99599321608e+07, 1.12229176687e-01, 1.18738109108e-01 - 2.00000000000e+02, 9.04619355528e+07, 1.12168003464e-01, 1.18928971073e-01 - 2.00000000000e+02, 9.09639389447e+07, 1.12107520812e-01, 1.19117692734e-01 - 2.00000000000e+02, 9.14659423367e+07, 1.12047720364e-01, 1.19304295560e-01 - 2.00000000000e+02, 9.19679457286e+07, 1.11988593872e-01, 1.19488800789e-01 - 2.00000000000e+02, 9.24699491206e+07, 1.11930133192e-01, 1.19671229435e-01 - 2.00000000000e+02, 9.29719525126e+07, 1.11872330295e-01, 1.19851602281e-01 - 2.00000000000e+02, 9.34739559045e+07, 1.11815177256e-01, 1.20029939887e-01 - 2.00000000000e+02, 9.39759592965e+07, 1.11758666257e-01, 1.20206262591e-01 - 2.00000000000e+02, 9.44779626884e+07, 1.11702789585e-01, 1.20380590507e-01 - 2.00000000000e+02, 9.49799660804e+07, 1.11647539629e-01, 1.20552943531e-01 - 2.00000000000e+02, 9.54819694724e+07, 1.11592908880e-01, 1.20723341340e-01 - 2.00000000000e+02, 9.59839728643e+07, 1.11538889928e-01, 1.20891803394e-01 - 2.00000000000e+02, 9.64859762563e+07, 1.11485475464e-01, 1.21058348937e-01 - 2.00000000000e+02, 9.69879796482e+07, 1.11432658273e-01, 1.21222997004e-01 - 2.00000000000e+02, 9.74899830402e+07, 1.11380431239e-01, 1.21385766413e-01 - 2.00000000000e+02, 9.79919864322e+07, 1.11328787338e-01, 1.21546675778e-01 - 2.00000000000e+02, 9.84939898241e+07, 1.11277719641e-01, 1.21705743503e-01 - 2.00000000000e+02, 9.89959932161e+07, 1.11227221309e-01, 1.21862987785e-01 - 2.00000000000e+02, 9.94979966080e+07, 1.11177285596e-01, 1.22018426618e-01 - 2.00000000000e+02, 1.00000000000e+08, 1.11127905844e-01, 1.22172077797e-01 diff --git a/src/JutulDarcy.jl b/src/JutulDarcy.jl index 84bed8c0..89871131 100644 --- a/src/JutulDarcy.jl +++ b/src/JutulDarcy.jl @@ -86,7 +86,6 @@ module JutulDarcy export StandardVolumeSource, VolumeSource, MassSource export OverallMoleFractions export ImmiscibleSaturation - export ThermalSystem export PhaseMassDensities, ConstantCompressibilityDensities export BrooksCoreyRelativePermeabilities, TabulatedSimpleRelativePermeabilities @@ -142,6 +141,10 @@ module JutulDarcy using PrecompileTools using Dates using GeoEnergyIO + # Artifacts + using Artifacts + using LazyArtifacts + import DataStructures: OrderedDict using DocStringExtensions @@ -167,6 +170,8 @@ module JutulDarcy include("facility/facility.jl") include("flux.jl") + include("flux_nfvm.jl") + include("porousmedia.jl") # MRST inputs and test cases that use MRST input # and .DATA file simulation diff --git a/src/NLDD/aspen.jl b/src/NLDD/aspen.jl index 886720d6..4f6265bd 100644 --- a/src/NLDD/aspen.jl +++ b/src/NLDD/aspen.jl @@ -403,7 +403,7 @@ function primary_variable_positions(outer_sim, sim, buffers, i, partition) end function primary_variable_positions(model_g::MultiModel, model::MultiModel, storage, buffers::Vector{Vector{Float64}}, i, partition) - sym = Jutul.submodel_symbols(model_g) + sym = Jutul.submodels_symbols(model_g) groups = model_g.groups single_group = isnothing(groups) if single_group @@ -737,7 +737,7 @@ end function store_primary_variables!(model::MultiModel, storage, buffers, extra; offset = 0, do_delta = false) @assert offset == 0 - sym = Jutul.submodel_symbols(model) + sym = Jutul.submodels_symbols(model) groups = model.groups if isnothing(groups) groups = ones(Int64, length(sym)) diff --git a/src/NLDD/reservoir.jl b/src/NLDD/reservoir.jl index b8e73569..51ee7bd3 100644 --- a/src/NLDD/reservoir.jl +++ b/src/NLDD/reservoir.jl @@ -7,6 +7,9 @@ function boundary_discretization(storage_g, model_g, submodel, storage, tag = no d = submodel.domain M = global_map(d) mass_flow = d.discretizations.mass_flow + if !(mass_flow isa TwoPointPotentialFlowHardCoded) + return missing + end mf = reverse_bnd(mass_flow, M) # Deal with storage for the reversed fluxes diff --git a/src/NLDD/simulator.jl b/src/NLDD/simulator.jl index 36771b64..2c4b2b4a 100644 --- a/src/NLDD/simulator.jl +++ b/src/NLDD/simulator.jl @@ -14,6 +14,7 @@ function NLDDSimulator(case::JutulCase, partition = missing; cells_per_block = missing, mpi_sync_after_solve = true, no_blocks = missing, + specialize_submodels = false, kwarg... ) (; model, state0, parameters) = case @@ -60,7 +61,7 @@ function NLDDSimulator(case::JutulCase, partition = missing; else active_global = missing end - submodels = build_submodels(model, partition, active_global = active_global) + submodels = build_submodels(model, partition, active_global = active_global, specialize = specialize_submodels) if is_distributed_solve && false categorized = zeros(Int, nc) @@ -550,7 +551,7 @@ end function find_max_interior_pressure(model::MultiModel, state) p_max = -Inf - for k in Jutul.submodel_symbols(model) + for k in Jutul.submodels_symbols(model) model_k = model[k] state_k = state[k] if haskey(state_k, :Pressure)# && k == :Reservoir diff --git a/src/NLDD/utils.jl b/src/NLDD/utils.jl index fa05b8e2..51d75ae3 100644 --- a/src/NLDD/utils.jl +++ b/src/NLDD/utils.jl @@ -247,7 +247,7 @@ end import JutulDarcy: reservoir_partition -function build_submodels(model, partition; active_global = missing) +function build_submodels(model, partition; active_global = missing, specialize = false) np = number_of_subdomains(partition) submodels = Vector{Any}(undef, np) p = Progress(np, desc = "Building $np submodels ") @@ -257,7 +257,11 @@ function build_submodels(model, partition; active_global = missing) fpos = get_facepos(N) for i = 1:np - submodels[i] = submodel(model, partition, i, buffer = 1, minbatch = 1_000_000_000, active_global = active_global, facepos = fpos) + sm = submodel(model, partition, i, buffer = 1, minbatch = 1_000_000_000, active_global = active_global, facepos = fpos) + if specialize + sm = convert_to_immutable_storage(sm) + end + submodels[i] = sm next!(p) end return submodels @@ -501,7 +505,7 @@ function partition_from_N(model, parameters, N) p = nothing else p = partition_internal_metis(model, parameters, N) - @info "N = $N provided, calling Metis." + jutul_message("NLDD-partitioner", "N = $N provided, calling Metis.") end return p end @@ -511,7 +515,7 @@ function partition_from_mrst(model, mrst_data, do_print = true) if haskey(mrst_data, "extra") && length(mrst_data["extra"]) > 0 e = first(mrst_data["extra"]) if do_print - @info "Partition found in MRST export." + jutul_message("NLDD-partitioner", "Partition found in MRST export.") end if haskey(e, "partition") p = vec(Int64.(e["partition"])) @@ -519,14 +523,14 @@ function partition_from_mrst(model, mrst_data, do_print = true) p = nothing else if do_print - @info "Partition found in MRST export (under extra)." + jutul_message("NLDD-partitioner", "Partition found in MRST export (under extra).") end end end elseif haskey(mrst_data, "partition") p = vec(Int64.(mrst_data["partition"])) if do_print - @info "Partition found in MRST export." + jutul_message("NLDD-partitioner", "Partition found in MRST export.") end else p = nothing diff --git a/src/blackoil/blackoil.jl b/src/blackoil/blackoil.jl index d3c5a885..0e43e1ca 100644 --- a/src/blackoil/blackoil.jl +++ b/src/blackoil/blackoil.jl @@ -63,7 +63,7 @@ has_disgas(::StandardBlackOilSystem) = true has_vapoil(::DisgasBlackOilSystem) = false has_disgas(::VapoilBlackOilSystem) = false -function convergence_criterion(model::SimulationModel{D, S}, storage, eq::ConservationLaw, eq_s, r; dt = 1.0, update_report = missing) where {D, S<:StandardBlackOilSystem} +function convergence_criterion(model::SimulationModel{D, S}, storage, eq::ConservationLaw{:TotalMasses}, eq_s, r; dt = 1.0, update_report = missing) where {D, S<:StandardBlackOilSystem} M = global_map(model.domain) v = x -> as_value(Jutul.active_view(x, M, for_variables = false)) Φ = v(storage.state.FluidVolume) diff --git a/src/facility/cross_terms.jl b/src/facility/cross_terms.jl index 7dae8aa8..5af08427 100644 --- a/src/facility/cross_terms.jl +++ b/src/facility/cross_terms.jl @@ -241,7 +241,7 @@ function update_cross_term_in_entity!(out, i, model_res, model_well, ct::ReservoirFromWellThermalCT, eq, dt, ldisc = local_discretization(ct, i)) # Unpack properties - sys = thermal_system(model_res.system) + sys = model_res.system nph = number_of_phases(sys) @inbounds begin reservoir_cell = ct.reservoir_cells[i] @@ -303,6 +303,12 @@ function Jutul.subcrossterm(ct::ReservoirFromWellThermalCT, ctp, m_t, m_s, map_r return ReservoirFromWellThermalCT(copy(CI), copy(WI), rc, copy(well_cells)) end +function Jutul.apply_force_to_cross_term!(ct_s, cross_term::ReservoirFromWellThermalCT, target, source, model, storage, dt, force::PerforationMask; time = time) + mask = force.values + apply_perforation_mask!(ct_s.target, mask) + apply_perforation_mask!(ct_s.source, mask) +end + struct WellFromFacilityThermalCT <: Jutul.AdditiveCrossTerm well::Symbol end diff --git a/src/facility/well_presolve.jl b/src/facility/well_presolve.jl index c0a88bd8..50e086ab 100644 --- a/src/facility/well_presolve.jl +++ b/src/facility/well_presolve.jl @@ -1,6 +1,6 @@ function Jutul.prepare_step_storage(p::PrepareStepWellSolver, storage, model::MultiModel) @assert !isnothing(model.groups) - submodels = Jutul.submodel_symbols(model) + submodels = Jutul.submodels_symbols(model) if false for (k, m) in pairs(model.models) if model_or_domain_is_well(m) diff --git a/src/facility/wells/stdwells.jl b/src/facility/wells/stdwells.jl index df5ab89b..0a679861 100644 --- a/src/facility/wells/stdwells.jl +++ b/src/facility/wells/stdwells.jl @@ -36,6 +36,7 @@ end number_of_components(s::SimpleWellSystem) = s.ncomp # number_of_phases(s::SimpleWellSystem) = s.ncomp reference_densities(s::SimpleWellSystem) = s.rho_ref +reference_densities(s::Symbol) = reference_densities(Val(s)) function flash_wellstream_at_surface(var, well_model, system::SimpleWellSystem, well_state, rhoS, cond = default_surface_cond()) X = well_state.MassFractions diff --git a/src/flux.jl b/src/flux.jl index 7c2871d7..b8fb843b 100644 --- a/src/flux.jl +++ b/src/flux.jl @@ -42,7 +42,7 @@ end return kgrad_common(face, state, model, tpfa) end -@inline function darcy_phase_kgrad_potential(face, phase, state, model, flux_type, tpfa::TPFA, upw, common = flux_primitives(face, state, model, flux_type, upw, tpfa)) +@inline function darcy_phase_kgrad_potential(face, phase, state, model, flux_type, tpfa::TPFA{T}, upw, common = flux_primitives(face, state, model, flux_type, upw, tpfa)) where T pc, ref_index = capillary_pressure(model, state) ∇p, T_f, gΔz = common l = tpfa.left @@ -68,7 +68,7 @@ function face_average_density(model, state, tpfa, phase) return 0.5*(ρ_i + ρ_c) end -function face_average_density(model::Union{CompositionalModel, ThermalCompositionalModel}, state, tpfa, phase) +function face_average_density(model::CompositionalModel, state, tpfa, phase) sys = flow_system(model.system) ρ = state.PhaseMassDensities l = tpfa.left @@ -76,27 +76,22 @@ function face_average_density(model::Union{CompositionalModel, ThermalCompositio @inbounds ρ_l = ρ[phase, l] @inbounds ρ_r = ρ[phase, r] - if properties_present_when_saturation_is_zero(sys) - # We can safely use the standard approximation - ρ_avg = 0.5*(ρ_r + ρ_l) + s = state.Saturations + ϵ = MINIMUM_COMPOSITIONAL_SATURATION + @inbounds s_l = s[phase, l] + @inbounds s_r = s[phase, r] + + s_l_tiny = s_l <= ϵ + s_r_tiny = s_r <= ϵ + if s_l_tiny && s_r_tiny + ρ_avg = zero(s_l) + elseif s_l_tiny + ρ_avg = ρ_r + elseif s_r_tiny + ρ_avg = ρ_l else - s = state.Saturations - ϵ = MINIMUM_COMPOSITIONAL_SATURATION - @inbounds s_l = s[phase, l] - @inbounds s_r = s[phase, r] - - s_l_tiny = s_l <= ϵ - s_r_tiny = s_r <= ϵ - if s_l_tiny && s_r_tiny - ρ_avg = zero(s_l) - elseif s_l_tiny - ρ_avg = ρ_r - elseif s_r_tiny - ρ_avg = ρ_l - else - # alt def: (s_l*ρ_r + s_r*ρ_l)/(s_l + s_r) - ρ_avg = 0.5*(ρ_r + ρ_l) - end + # alt def: (s_l*ρ_r + s_r*ρ_l)/(s_l + s_r) + ρ_avg = 0.5*(ρ_r + ρ_l) end return ρ_avg end @@ -115,7 +110,8 @@ end end function face_average(F, tpfa) - return 0.5*(F(tpfa.right) + F(tpfa.left)) + l, r = Jutul.cell_pair(tpfa) + return 0.5*(F(r) + F(l)) end function phase_face_average(phase_property, tpfa, phase) diff --git a/src/flux_nfvm.jl b/src/flux_nfvm.jl new file mode 100644 index 00000000..7a185e55 --- /dev/null +++ b/src/flux_nfvm.jl @@ -0,0 +1,100 @@ +function flux_primitives(face, state, model, flux_type::Jutul.DefaultFlux, tpfa::Jutul.NFVM.NFVMDiscretization, upw) + return nothing +end + +function kgrad_common(face, state, model, tpfa::Jutul.NFVM.NFVMDiscretization) + return nothing +end + +function darcy_phase_kgrad_potential(face, phase, state, model, flux_type, mpfa::D, upw, common = nothing) where {D<:Jutul.NFVM.NFVMDiscretization} + # gΔz = tpfa.face_sign*grav[face] + grav = state.TwoPointGravityDifference[face] + pc, ref_index = capillary_pressure(model, state) + p = state.Pressure + if haskey(state, :PhasePotentials) + g = gravity_constant + pot = state.PhasePotentials + dens = state.PhaseMassDensities + z = state.AdjustedCellDepths + # grad(p - rho g z) = grad(p) - grad(rho) g z - rho g grad(z) + # -> grad(p) - rho g grad(z) = grad(p - rho g z) + grad(rho) g z + ∇pot = Jutul.NFVM.evaluate_flux(pot, mpfa, phase) + ∇rho = Jutul.NFVM.evaluate_flux(dens, mpfa, phase) + + l, r = Jutul.cell_pair(mpfa) + z_avg = (z[l] + z[r])/2.0 + q = -(∇pot + ∇rho*g*z_avg) + else + # If missing potential, just do everything here. + K∇p = Jutul.NFVM.evaluate_flux(p, mpfa, phase) + q = -K∇p + end + if haskey(state, :PermeabilityMultiplier) + K_mul = state.PermeabilityMultiplier + m = face_average(c -> K_mul[c], tpfa) + q *= m + end + return q +end + +@inline function JutulDarcy.gradient(X::AbstractVector, hf::Jutul.NFVM.NFVMDiscretization) + l, r = Jutul.cell_pair(hf) + return @inbounds X[r] - X[l] +end + +@inline function JutulDarcy.gradient(X::AbstractMatrix, i, hf::Jutul.NFVM.NFVMDiscretization) + l, r = Jutul.cell_pair(hf) + return @inbounds X[i, r] - X[i, l] +end + +function Jutul.get_dependencies(pot::PhasePotentials, model) + deps = Symbol[:Pressure, :AdjustedCellDepths, :PhaseMassDensities] + has_pc = !isnothing(get_variable(model, :CapillaryPressure, throw = false)) + if has_pc + push!(deps, :CapillaryPressure) + end + return tuple(deps...) +end + +function update_secondary_variable!(pot, pot_def::PhasePotentials, model, state, ix = entity_eachindex(kr)) + pc, ref_index = capillary_pressure(model, state) + AdjustedCellDepths = state.AdjustedCellDepths + Pressure = state.Pressure + PhaseMassDensities = state.PhaseMassDensities + g = gravity_constant + for i in ix + for ph in axes(pot, 1) + z = AdjustedCellDepths[i] + p = Pressure[i] + rho = PhaseMassDensities[ph, i] + if isnothing(pc) || ref_index == ph + p_ph = p + else + pos = ph - (ph > ref_index) + p_ph = p + pc[pos, i] + end + pot[ph, i] = p_ph - g*z*rho + end + end + return pot +end + +function Jutul.default_values(model, ::AdjustedCellDepths) + data_domain = model.data_domain + nc = number_of_cells(data_domain) + v = missing + if haskey(data_domain, :cell_centroids) + fc = data_domain[:cell_centroids] + if size(fc, 1) == 3 + # Make sure that this depth is always negative + z = fc[3, :] + zmax = maximum(z) + v = @. z - zmax + @assert all(x -> x <= 0, v) + end + end + if ismissing(v) + v = zeros(nc) + end + return v +end diff --git a/src/forces/bc.jl b/src/forces/bc.jl index 2064f34b..1d5db579 100644 --- a/src/forces/bc.jl +++ b/src/forces/bc.jl @@ -12,8 +12,8 @@ Dirchlet boundary condition for constant values (pressure/temperature) at some inflow boundary """ function FlowBoundaryCondition( - cell, - pressure = DEFAULT_MINIMUM_PRESSURE, + cell::Int, + pressure = DEFAULT_MINIMUM_PRESSURE, temperature = 298.15; fractional_flow = nothing, density = nothing, @@ -33,6 +33,85 @@ function FlowBoundaryCondition( return FlowBoundaryCondition(cell, pressure, temperature, trans_flow, trans_thermal, f, density) end +function FlowBoundaryCondition( + domain::DataDomain, + cell::Int, + pressure = DEFAULT_MINIMUM_PRESSURE, + temperature = 298.15; + dir = :x, + kwarg... + ) + G = physical_representation(domain) + D = Jutul.dim(G) + dir in (:x, :y, :z) || dir in 1:3 || throw(ArgumentError("Direction argument `dir` must be either :x, :y, :z or 1, 2, 3")) + G = physical_representation(domain) + if dir isa Symbol + dir = findfirst(isequal(dir), (:x, :y, :z)) + end + dist = cell_dims(G, cell)[dir] + K = domain[:permeability] + cond = domain[:rock_thermal_conductivity] + + function local_trans(perm_or_c) + if perm_or_c isa Vector + ki = perm_or_c[cell] + else + ki = perm_or_c[:, cell] + end + # Take the diagonal + ki = Jutul.expand_perm(ki, D)[dir, dir] + # Distance to boundary is half the cell width + return ki*(dist/2.0) + end + + T_flow = local_trans(K) + T_heat = local_trans(cond) + return FlowBoundaryCondition(cell, pressure, temperature; + trans_flow = T_flow, + trans_thermal = T_heat, + kwarg... + ) +end + +export flow_boundary_condition +""" + flow_boundary_condition(cells, domain, pressures, temperatures = 298.15; kwarg...) + +Add flow boundary conditions to a vector of `cells` for a given `domain` coming +from `reservoir_domain`. The input arguments `pressures` and `temperatures` can +either be scalars or one value per cell. Other keyword arguments are passed onto +the `FlowBoundaryCondition` constructor. + +The output of this function is a `Vector` of boundary conditions that can be +passed on the form `forces = setup_reservoir_forces(model, bc = bc)`. +""" +function flow_boundary_condition(cells, domain, pressures, temperatures = 298.15; fractional_flow = nothing, kwarg...) + if fractional_flow isa Vector + fractional_flow = tuple(fractional_flow...) + end + bc = FlowBoundaryCondition{Int, Float64, typeof(fractional_flow)}[] + flow_boundary_condition!(bc, domain, cells, pressures, temperatures; fractional_flow = fractional_flow, kwarg...) + return bc +end + +function flow_boundary_condition!(bc, domain, cells, pressures, temperatures = 298.15; kwarg...) + n = length(cells) + if temperatures isa Real + temperatures = fill(temperatures, n) + end + if pressures isa Real + pressures = fill(pressures, n) + end + length(temperatures) == n || throw(ArgumentError("Mismatch in length of cells and temperatures arrays")) + length(pressures) == n || throw(ArgumentError("Mismatch in length of cells and pressures arrays")) + + for (cell, pressure, temperature) in zip(cells, pressures, temperatures) + bc_c = FlowBoundaryCondition(domain, cell, pressure, temperature; kwarg...) + push!(bc, bc_c) + end + return bc +end + function Jutul.subforce(s::AbstractVector{S}, model) where S<:FlowBoundaryCondition s = deepcopy(s) m = global_map(model.domain) @@ -65,38 +144,54 @@ end function Jutul.apply_forces_to_equation!(acc, storage, model::SimulationModel{D, S}, eq::ConservationLaw{:TotalMasses}, eq_s, force::V, time) where {V <: AbstractVector{<:FlowBoundaryCondition}, D, S<:MultiPhaseSystem} state = storage.state - p = state.Pressure + nph = number_of_phases(reservoir_model(model).system) for bc in force c = bc.cell - T_f = bc.trans_flow - Δp = p[c] - bc.pressure - q = T_f*Δp acc_i = view(acc, :, c) + q = compute_bc_mass_fluxes(bc, state, nph) apply_flow_bc!(acc_i, q, bc, model, state, time) end end -function apply_flow_bc!(acc, q, bc, model::SimulationModel{<:Any, T}, state, time) where T<:Union{ImmiscibleSystem, SinglePhaseSystem} - mu = state.PhaseViscosities - kr = state.RelativePermeabilities +function Jutul.apply_forces_to_equation!(acc, storage, model::SimulationModel{D, S}, eq::ConservationLaw{:TotalThermalEnergy}, eq_s, force::V, time) where {V <: AbstractVector{<:FlowBoundaryCondition}, D, S<:MultiPhaseSystem} + state = storage.state + nph = number_of_phases(reservoir_model(model).system) + for bc in force + c = bc.cell + acc_i = view(acc, :, c) + qh_adv, qh_cond = compute_bc_heat_fluxes(bc, state, nph) + apply_flow_bc!(acc_i, qh_adv + qh_cond, bc, model, state, time) + end +end + +function compute_bc_mass_fluxes(bc, state, nph) + + # Get reservoir properties + p = state.Pressure + mu = state.PhaseViscosities + kr = state.RelativePermeabilities rho = state.PhaseMassDensities - nph = length(acc) @assert size(kr, 1) == nph - + # Get boundary properties + c = bc.cell + T_f = bc.trans_flow rho_inj = bc.density - f_inj = bc.fractional_flow - c = bc.cell - if q > 0 + f_inj = bc.fractional_flow + # Compute total mass flux + Δp = p[c] - bc.pressure + q_tot = T_f*Δp + + q = Vector{typeof(q_tot)}(undef, nph) + if q_tot > 0 # Pressure inside is higher than outside, flow out from domain - for ph in eachindex(acc) + for ph in 1:nph # Immiscible: Density * total flow rate * mobility for each phase - q_i = q*rho[ph, c]*kr[ph, c]/mu[ph, c] - acc[ph] += q_i + q[ph] = q_tot*rho[ph, c]*kr[ph, c]/mu[ph, c] end else # Injection of mass λ_t = 0.0 - for ph in eachindex(acc) + for ph in 1:nph λ_t += kr[ph, c]/mu[ph, c] end if isnothing(rho_inj) @@ -116,16 +211,81 @@ function apply_flow_bc!(acc, q, bc, model::SimulationModel{<:Any, T}, state, tim end for ph in 1:nph F = state.TotalMasses[ph, c]/total - acc[ph] += q*rho_inj*λ_t*F + q[ph] = q_tot*rho_inj*λ_t*F end else @assert length(f_inj) == nph for ph in 1:nph F = f_inj[ph] - acc[ph] += q*rho_inj*λ_t*F + q[ph] = q_tot*rho_inj*λ_t*F end end end + + return q + +end + +function compute_bc_heat_fluxes(bc, state, nph) + + q = compute_bc_mass_fluxes(bc, state, nph) + c = bc.cell + + # Get reservoir properties + p = state.Pressure + T = state.Temperature + s = state.Saturations + h = state.FluidEnthalpy + u = state.FluidInternalEnergy + rho = state.PhaseMassDensities + + # Get boundary properties + T_h = bc.trans_thermal + p_bc = bc.pressure + T_bc = bc.temperature + rho_bc = bc.density + + qh_advective = 0 + for ph in 1:nph + if q[ph] > 0 + # Flow out from domain + h_ph = h[ph,c] + else + Cp = u[ph,c]/T[c] + if isnothing(rho_bc) + # Density not provided, take saturation average from what we + # have in the inside of the domain + rho_bc = 0.0 + for ph in 1:nph + rho_bc += state.Saturations[ph,c]*rho[ph,c] + end + end + h_ph = Cp*T_bc + p_bc/rho_bc + end + qh_advective += h_ph*q[ph] + end + + ΔT = T[c] - T_bc + qh_conductive = T_h*ΔT + + return qh_advective, qh_conductive + +end + +function compute_bc_heat_fluxes(bc, state) + c = bc.cell + T_f = bc.trans_flow + Δp = p[c] - bc.pressure + q = T_f*Δp + return q +end + +function apply_flow_bc!(acc, q, bc, model::SimulationModel{<:Any, T}, state, time) where T<:Union{ImmiscibleSystem, SinglePhaseSystem} + + for ph in eachindex(acc) + acc[ph] += q[ph] + end + end function Jutul.vectorization_length(bc::FlowBoundaryCondition, variant) diff --git a/src/formulations/transport/overloads.jl b/src/formulations/transport/overloads.jl index ffc67aa7..4bb1e109 100644 --- a/src/formulations/transport/overloads.jl +++ b/src/formulations/transport/overloads.jl @@ -40,7 +40,7 @@ end return (q = V_t/λ_t, T = T_f, gdz = gΔz, V_t = V_t, λ = λ) end -@inline function darcy_phase_kgrad_potential(face, phase, state, model, flux_type::TotalSaturationFlux, tpfa::TPFA, upw, common = flux_primitives(face, state, model, flux_type, upw, tpfa)) +@inline function darcy_phase_kgrad_potential(face, phase, state, model, flux_type::TotalSaturationFlux, tpfa::TPFA{T}, upw, common = flux_primitives(face, state, model, flux_type, upw, tpfa)) where T ρ = state.PhaseMassDensities pc, ref_index = capillary_pressure(model, state) V_t, T_f, gΔz = common diff --git a/src/init/init.jl b/src/init/init.jl index 8a359fe9..e225b94c 100644 --- a/src/init/init.jl +++ b/src/init/init.jl @@ -129,6 +129,9 @@ function equilibriate_state!(init, depths, model, sys, contacts, depth, datum_pr phase_density = rho_l end end + elseif rho isa BrineCO2MixingDensities + T = T_z(z) + phase_density = rho.tab(p, T)[ph] else pvt = rho.pvt pvt_i = pvt[ph] @@ -148,7 +151,9 @@ function equilibriate_state!(init, depths, model, sys, contacts, depth, datum_pr end return phase_density end - pressures = determine_hydrostatic_pressures(depths, depth, zmin, zmax, contacts, datum_pressure, density_f, contacts_pc) + # Find the reference phase. It is either liquid + ref_phase = find_reference_phase(model.system) + pressures = determine_hydrostatic_pressures(depths, depth, zmin, zmax, contacts, datum_pressure, density_f, contacts_pc, ref_phase) if nph > 1 relperm = model.secondary_variables[:RelativePermeabilities] if relperm isa Pair @@ -212,7 +217,7 @@ function equilibriate_state!(init, depths, model, sys, contacts, depth, datum_pr end kr = kr[:, cells] init[:Saturations] = s - init[:Pressure] = init_reference_pressure(pressures, contacts, kr, pc, 2) + init[:Pressure] = init_reference_pressure(pressures, contacts, kr, pc, ref_phase) else p = copy(vec(pressures)) init[:Pressure] = p @@ -229,6 +234,31 @@ function equilibriate_state!(init, depths, model, sys, contacts, depth, datum_pr return init end +function find_reference_phase(system) + mphases = get_phases(system) + function find_phase(k) + ix = 0 + for (i, ph) in enumerate(mphases) + if ph isa LiquidPhase + ix = i + break + end + end + return ix + end + l = find_phase(LiquidPhase) + a = find_phase(AqueousPhase) + if l > 0 + phase = l + elseif a > 0 + phase = a + else + # Last phase is water or something custom, send out 1. + phase = 1 + end + return phase +end + function parse_state0_equil(model, datafile; normalize = :sum) has_water = haskey(datafile["RUNSPEC"], "WATER") @@ -417,44 +447,48 @@ function parse_state0_equil(model, datafile; normalize = :sum) contacts_pc = (-woc_pc, goc_pc) end - rhoGS = map(x -> x[3], datafile["PROPS"]["DENSITY"]) - rhoOS = map(x -> x[1], datafile["PROPS"]["DENSITY"]) - - Rs_scale = (rhoGS[preg]/rhoGS[1])*(rhoOS[preg]/rhoOS[1]) - Rv_scale = 1.0/Rs_scale - if disgas - if haskey(sol, "RSVD") - rsvd = sol["RSVD"][ereg] - z = rsvd[:, 1] - Rs = rsvd[:, 2] + if disgas || vapoil + rhoGS = map(x -> x[3], datafile["PROPS"]["DENSITY"]) + rhoOS = map(x -> x[1], datafile["PROPS"]["DENSITY"]) + + Rs_scale = (rhoGS[preg]/rhoGS[1])*(rhoOS[preg]/rhoOS[1]) + Rv_scale = 1.0/Rs_scale + if disgas + if haskey(sol, "RSVD") + rsvd = sol["RSVD"][ereg] + z = rsvd[:, 1] + Rs = rsvd[:, 2] + else + @assert haskey(sol, "PBVD") + pbvd = sol["PBVD"][ereg] + z = pbvd[:, 1] + pb = vec(pbvd[:, 2]) + Rs = sys.rs_max[preg].(pb) + end + rs = get_1d_interpolator(z, Rs_scale.*Rs) else - @assert haskey(sol, "PBVD") - pbvd = sol["PBVD"][ereg] - z = pbvd[:, 1] - pb = vec(pbvd[:, 2]) - Rs = sys.rs_max[preg].(pb) + rs = missing end - rs = get_1d_interpolator(z, Rs_scale.*Rs) - else - rs = missing - end - if vapoil - if haskey(sol, "PDVD") - @warn "PDVD not supported for RV initialization, setting to zero." - rv = z -> 0.0 - elseif haskey(sol, "RVVD") - rvvd = sol["RVVD"][ereg] - z = rvvd[:, 1] - Rv = rvvd[:, 2] - rv = get_1d_interpolator(z, Rv_scale.*Rv) + if vapoil + if haskey(sol, "PDVD") + @warn "PDVD not supported for RV initialization, setting to zero." + rv = z -> 0.0 + elseif haskey(sol, "RVVD") + rvvd = sol["RVVD"][ereg] + z = rvvd[:, 1] + Rv = rvvd[:, 2] + rv = get_1d_interpolator(z, Rv_scale.*Rv) + else + # TODO: Should maybe be the pressure at GOC not datum + # depth, but that isn't computed at this stage. + rv_at_goc = Rv_scale*sys.rv_max[preg](datum_pressure) + rv = z -> rv_at_goc + end else - # TODO: Should maybe be the pressure at GOC not datum - # depth, but that isn't computed at this stage. - rv_at_goc = Rv_scale*sys.rv_max[preg](datum_pressure) - rv = z -> rv_at_goc + rv = missing end else - rv = missing + rs = rv = missing end if haskey(props, "ZMFVD") ztab = props["ZMFVD"][ereg] @@ -635,10 +669,12 @@ function init_reference_pressure(pressures, contacts, kr, pc, ref_ix = 2) return p end -function determine_hydrostatic_pressures(depths, depth, zmin, zmax, contacts, datum_pressure, density_f, contacts_pc) +function determine_hydrostatic_pressures(depths, depth, zmin, zmax, contacts, datum_pressure, density_f, contacts_pc, ref_ix = 0) nc = length(depths) nph = length(contacts) + 1 - ref_ix = min(2, nph) + if ref_ix == 0 + ref_ix = min(2, nph) + end I_ref = phase_pressure_depth_table(depth, zmin, zmax, datum_pressure, density_f, ref_ix) pressures = zeros(nph, nc) pos = 1 diff --git a/src/input_simulation/converter.jl b/src/input_simulation/converter.jl new file mode 100644 index 00000000..716cfe47 --- /dev/null +++ b/src/input_simulation/converter.jl @@ -0,0 +1,68 @@ +function convert_co2store_to_co2_brine(data; kwarg...) + return convert_co2store_to_co2_brine!(deepcopy(data); kwarg...) +end + +function convert_co2store_to_co2_brine!(data; verbose = true) + function cstrip(z::AbstractVector) + z = z[1:2] + zt = sum(z) + @assert zt > 0 "CO2 + brine mole fractions must be above zero" + return z./zt + end + function cstrip(z::AbstractMatrix) + n = size(z, 1) + z_new = zeros(n, 2) + for i in 1:n + z_new[i, :] .= cstrip(z[i, :]) + end + return z_new + end + function local_msg(x) + if verbose + jutul_message("CO2STORE converter", x, color = :blue) + end + end + function local_warn(x) + jutul_message("CO2STORE converter", x, color = :yellow) + end + rs = data["RUNSPEC"] + haskey(rs, "CO2STORE") || throw(ArgumentError("Cannot convert if RUNSPEC is missing CO2STORE keyword.")) + delete!(rs, "CO2STORE") + delete!(rs, "COMPS") + rs["JUTUL_CO2BRINE"] = true + rs["OIL"] = true + rs["GAS"] = true + # PROPS: + props = data["PROPS"] + # Check CNAMES in case they are in unexpected order and warn for salts that + # are not supported. + cnames = get(props, "CNAMES", nothing) + if !isnothing(cnames) + c1 = cnames[1] + c2 = cnames[2] + if lowercase(c1) != "h2o" + local_warn("First component $c1 is assumed to be H2O.") + end + if lowercase(c2) != "co2" + local_warn("Second component $c2 is assumed to be CO2.") + end + if length(cnames) > 2 + local_warn("More than two components were declared. Salts $(cnames[3:end]) will be ignored.") + end + delete!(props, "CNAMES") + end + # ZMFVD (convert) + zmfvd = get(props, "ZMFVD", nothing) + if !isnothing(zmfvd) + for (i, z_i) in enumerate(zmfvd) + depth = z_i[:, 1] + z = cstrip(z_i[:, 2:end]) + zmfvd[i] = hcat(depth, z) + end + end + # Remove: MW, ACF, BIC, ZCRIT, VCRIT, TCRIT, PCRIT, EOS + for kw in ["MW", "ACF", "BIC", "ZCRIT", "VCRIT", "TCRIT", "PCRIT", "EOS"] + delete!(props, kw) + end + return data +end diff --git a/src/input_simulation/data_input.jl b/src/input_simulation/data_input.jl index 7e94647f..47980766 100644 --- a/src/input_simulation/data_input.jl +++ b/src/input_simulation/data_input.jl @@ -76,10 +76,9 @@ function setup_case_from_parsed_data(datafile; end msg("Parsing physics and system.") sys, pvt = parse_physics_types(datafile, pvt_region = 1) - flow_sys = flow_system(sys) - is_blackoil = flow_sys isa StandardBlackOilSystem - is_compositional = flow_sys isa CompositionalSystem - is_thermal = sys isa CompositeSystem && haskey(sys.systems, :thermal) + is_blackoil = sys isa StandardBlackOilSystem + is_compositional = sys isa CompositionalSystem + is_thermal = haskey(datafile["RUNSPEC"], "THERMAL") rs = datafile["RUNSPEC"] oil = haskey(rs, "OIL") @@ -97,7 +96,7 @@ function setup_case_from_parsed_data(datafile; has_pvt = isnothing(pvt_reg) # Parse wells msg("Parsing schedule.") - wells, controls, limits, cstep, dt, well_forces = parse_schedule(domain, flow_sys, datafile; simple_well = simple_well) + wells, controls, limits, cstep, dt, well_forces = parse_schedule(domain, sys, datafile; simple_well = simple_well) if skip_wells empty!(wells) end @@ -116,11 +115,17 @@ function setup_case_from_parsed_data(datafile; push!(wells_systems, sys_w) end - model = setup_reservoir_model(domain, sys; wells = wells, extra_out = false, wells_systems = wells_systems, kwarg...) + model = setup_reservoir_model(domain, sys; + thermal = is_thermal, + wells = wells, + extra_out = false, + wells_systems = wells_systems, + kwarg... + ) for (k, submodel) in pairs(model.models) if model_or_domain_is_well(submodel) || k == :Reservoir # Modify secondary variables - if !is_compositional + if !is_compositional && !(sys isa Symbol) svar = submodel.secondary_variables pvt_reg_i = reservoir_regions(submodel.data_domain, :pvtnum) if model_or_domain_is_well(submodel) @@ -165,6 +170,10 @@ function setup_case_from_parsed_data(datafile; end end end + msg("Setting up forces.") + forces = parse_forces(model, datafile, sys, wells, controls, limits, cstep, dt, well_forces) + msg("Setting up initial state.") + state0 = parse_state0(model, datafile, normalize = normalize) msg("Setting up parameters.") parameters = setup_parameters(model) if haskey(props, "SWL") @@ -175,10 +184,6 @@ function setup_case_from_parsed_data(datafile; if use_ijk_trans parameters[:Reservoir][:Transmissibilities] = reservoir_transmissibility(domain, version = :ijk); end - msg("Setting up forces.") - forces = parse_forces(model, wells, controls, limits, cstep, dt, well_forces) - msg("Setting up initial state.") - state0 = parse_state0(model, datafile, normalize = normalize) msg("Setup complete.") return JutulCase(model, dt, forces, state0 = state0, parameters = parameters, input_data = datafile) end @@ -529,9 +534,10 @@ function handle_wells_without_active_perforations!(bad_wells, completions, contr end end -function parse_forces(model, wells, controls, limits, cstep, dt, well_forces) +function parse_forces(model, datafile, sys, wells, controls, limits, cstep, dt, well_forces) + bc, sources = parse_aquifer_bc(model, datafile, sys) if length(wells) == 0 - return setup_reservoir_forces(model) + return setup_reservoir_forces(mode, bc = bc, sources = sources) end forces = [] @assert length(controls) == length(limits) == length(well_forces) @@ -553,7 +559,12 @@ function parse_forces(model, wells, controls, limits, cstep, dt, well_forces) for (k, v) in pairs(lim) lim_s[Symbol(k)] = v end - f = setup_reservoir_forces(model; control = ctrl_s, limits = lim_s, pairs(wforce)...) + f = setup_reservoir_forces(model; + bc = bc, + sources = sources, + control = ctrl_s, + limits = lim_s, + pairs(wforce)...) push!(forces, f) end return forces[cstep] @@ -569,7 +580,16 @@ function parse_state0(model, datafile; normalize = true) else init = parse_state0_direct_assignment(rmodel, datafile) end + if haskey(init, :Temperature) + # Temperature can be set during equil, write it to data domain for + # parameter initialization. + rmodel.data_domain[:temperature] = init[:Temperature] + if !haskey(rmodel.primary_variables, :Temperature) + delete!(init, :Temperature) + end + end state0 = setup_reservoir_state(model, init) + return state0 end function parse_state0_direct_assignment(model, datafile) @@ -1040,13 +1060,20 @@ end function parse_physics_types(datafile; pvt_region = missing) runspec = datafile["RUNSPEC"] props = datafile["PROPS"] - has(name) = haskey(runspec, name) && runspec[name] + has(name) = haskey(runspec, name) && runspec[name] == true has_wat = has("WATER") has_oil = has("OIL") has_gas = has("GAS") has_disgas = has("DISGAS") has_vapoil = has("VAPOIL") has_thermal = has("THERMAL") + if has("JUTUL_CO2BRINE") + # Early termination since this model does not need any PVT specification. + @assert (has_oil && has_gas) "JUTUL_CO2BRINE currently assumes oil(liquid)-gas systems" + return (system = :co2brine, pvt = (missing, missing)) + elseif has("CO2STORE") + error("CO2STORE is not directly supported in JutulDarcy. You can try the converter:\ndata = JutulDarcy.convert_co2store_to_co2_brine(data)") + end is_immiscible = !has_disgas && !has_vapoil is_compositional = haskey(runspec, "COMPS") @@ -1091,7 +1118,7 @@ function parse_physics_types(datafile; pvt_region = missing) rhoWS = deck_density[2] rhoGS = deck_density[3] else - @assert is_compositional + @assert is_compositional "DENSITY can only be omitted for compositional models." rhoOS = rhoWS = rhoGS = 1.0 has_oil = true has_gas = true @@ -1167,9 +1194,6 @@ function parse_physics_types(datafile; pvt_region = missing) end sys = pick_system_from_pvt(pvt, rhoS, phases, is_immiscible) end - if has("THERMAL") - sys = reservoir_system(flow = sys, thermal = ThermalSystem(sys)) - end return (system = sys, pvt = pvt) end @@ -1744,6 +1768,10 @@ function select_injector_mixture_spec(sys::CompositionalSystem, name, streams, t return (rho, mix, phases_mix) end +function select_injector_mixture_spec(sys::Symbol, name, streams, type) + return select_injector_mixture_spec(Val(sys), name, streams, type) +end + function keyword_to_control(sys, streams, kw, ::Val{:WCONINJE}; kwarg...) # TODO: Expand to handle mixture etc. name = kw[1] @@ -1974,3 +2002,143 @@ function apply_welopen!(controls, compdat, wk, controls_if_active) end end end + +function parse_aquifer_bc(model, datafile, sys) + bc = nothing + sources = nothing + sol = datafile["SOLUTION"] + aquchwat = get(sol, "AQUCHWAT", nothing) + reservoir = reservoir_domain(model) + g = physical_representation(reservoir) + grav = gravity_constant + if isnothing(aquchwat) + bc = nothing + else + rho, mix, = select_injector_mixture_spec(sys, "AQUIFER", missing, "WATER") + mix = tuple(mix...) + bc = FlowBoundaryCondition{Int, Float64, typeof(mix)}[] + acon = sol["AQUANCON"] + aquifers = unique(map(first, acon)) + for aqno in aquifers + aquifer = aquchwat[aqno] + datum = aquifer[2] + bc_type = aquifer[3] + datum_val = aquifer[4] + if bc_type == "HEAD" + p_datum = si_unit(:atmosphere) + grav*rho*(datum_val - datum) + else + p_datum = datum_val + end + PI = aquifer[5] + minv, maxv = aquifer[8:9] + if isfinite(minv) || isfinite(maxv) + jutul_message("Aquifer $aqno", "Non-defaulted pressure limits ($minv,$maxv) detected. They will be ignored.") + end + ignore_depth = aquifer[13] == "YES" + temperature = aquifer[15] + if isnan(temperature) + temperature = 273.15 + end + # Areas, cells, faces of candidates + areas = Float64[] + multipliers = Float64[] + cells = Int[] + for con in acon + if con[1] != aqno + continue + end + multiplier = con[10] + area = con[9] + bfaces, bcells = aquifer_connections_to_boundary_faces(g, con[2], con[3], con[4], con[5], con[6], con[7], con[8]) + for c in bcells + push!(cells, c) + push!(multipliers, multiplier) + end + if isnan(area) + for f in bfaces + push!(areas, reservoir[:boundary_areas][f]) + end + else + for _ in bfaces + push!(areas, area) + end + end + end + area_total = sum(areas) + @. areas /= area_total + # Scale by typical water viscosity + scale = 0.01*si_unit(:poise) + PI_actual = PI.*scale.*areas.*multipliers + cc = reservoir[:cell_centroids] + for (c, PI_c) in zip(cells, PI_actual) + if ignore_depth + p = p_datum + else + depth = cc[3, c] + p = p_datum + grav*rho*(depth - datum) + end + bc_c = FlowBoundaryCondition(c, p, temperature, + trans_flow = PI_c, + trans_thermal = 0.0, # Maybe not correct? + density = rho, + fractional_flow = mix + ) + push!(bc, bc_c) + end + end + if length(bc) == 0 + bc = nothing + end + end + # TODO: Check that there are no aquifers in schedule since this is not + # handled. + + return (bc, sources) +end + +function aquifer_connections_to_boundary_faces(g, Imin, Imax, Jmin, Jmax, Kmin, Kmax, type) + if Imax == -1 + Imax = typemax(Int) + end + if Jmax == -1 + Jmax = typemax(Int) + end + if Kmax == -1 + Kmax = typemax(Int) + end + if type in ("I+", "X+") + t = :right + elseif type in ("I-", "X-") + t = :left + elseif type in ("J+", "Y+") + t = :upper + elseif type in ("J-", "Y-") + t = :lower + elseif type in ("K+", "Z+") + t = :bottom + elseif type in ("K-", "Z-") + t = :top + else + error("Bad face type $type") + end + candidates = get_mesh_entity_tag(g, BoundaryFaces(), :direction, t) + cells = g.boundary_faces.neighbors[candidates] + bfaces = Int[] + bcells = Int[] + + for (f, c) in zip(candidates, cells) + i, j, k = cell_ijk(g, c) + if i < Imin || i > Imax + continue + end + if j < Jmin || j > Jmax + continue + end + if k < Kmin || k > Kmax + continue + end + push!(bfaces, f) + push!(bcells, c) + end + return (bfaces, bcells) +end diff --git a/src/input_simulation/input_simulation.jl b/src/input_simulation/input_simulation.jl index 0631329e..b4d224e4 100644 --- a/src/input_simulation/input_simulation.jl +++ b/src/input_simulation/input_simulation.jl @@ -1,2 +1,3 @@ include("mrst_input.jl") include("data_input.jl") +include("converter.jl") diff --git a/src/input_simulation/mrst_input.jl b/src/input_simulation/mrst_input.jl index 3f1c215d..a8772229 100644 --- a/src/input_simulation/mrst_input.jl +++ b/src/input_simulation/mrst_input.jl @@ -499,6 +499,7 @@ function deck_relperm(runspec, props; oil, water, gas, satnum = nothing) end end if haskey(props, "SOF3") + @assert !haskey(props, "SOF2") "SOF2 and SOF3 simultaneously is not supported." for sof3 in props["SOF3"] # Oil pairs so = sof3[:, 1] @@ -511,6 +512,18 @@ function deck_relperm(runspec, props; oil, water, gas, satnum = nothing) push!(tables_krog, krog) end end + if haskey(props, "SOF2") + for sof2 in props["SOF2"] + # Oil pairs + so = sof2[:, 1] + kro_t = sof2[:, 2] + krow = PhaseRelativePermeability(so, kro_t, label = :ow) + krog = PhaseRelativePermeability(so, kro_t, label = :og) + + push!(tables_krow, krow) + push!(tables_krog, krog) + end + end if haskey(props, "SGFN") for sgfn in props["SGFN"] # Gas @@ -574,7 +587,7 @@ function flat_region_expand(x::Vector, n = nothing) return x end -function deck_pc(props; oil, water, gas, satnum = nothing) +function deck_pc(props; oil, water, gas, satnum = nothing, is_co2 = false) function get_pc(T, pc_ix, reverse = false) found = false PC = [] @@ -612,6 +625,14 @@ function deck_pc(props; oil, water, gas, satnum = nothing) found_pcow = false end if oil && gas + # if is_co2 && (oil + gas + water) == 2 + # # CO2 store models may act was oil-gas but they are really + # # representing water-co2 and the capillary pressure should be + # # p_g = p_o + p_og + # reverse = false + # else + # reverse = !water + # end reverse = !water if haskey(props, "SGOF") interp_og, found_pcog = get_pc(props["SGOF"], 4, reverse) @@ -806,9 +827,10 @@ function set_deck_specialization!(model, runspec, props, satnum, oil, water, gas sys = model.system svar = model.secondary_variables param = model.parameters + is_co2 = haskey(runspec, "CO2STORE") || haskey(runspec, "JUTUL_CO2BRINE") if number_of_phases(sys) > 1 set_deck_relperm!(svar, param, sys, runspec, props; oil = oil, water = water, gas = gas, satnum = satnum) - set_deck_pc!(svar, param, sys, props; oil = oil, water = water, gas = gas, satnum = satnum) + set_deck_pc!(svar, param, sys, props; oil = oil, water = water, gas = gas, satnum = satnum, is_co2 = is_co2) end set_deck_pvmult!(svar, param, sys, props, model.data_domain) end diff --git a/src/multicomponent/bc.jl b/src/multicomponent/bc.jl new file mode 100644 index 00000000..f9b75aec --- /dev/null +++ b/src/multicomponent/bc.jl @@ -0,0 +1,79 @@ +function Jutul.apply_forces_to_equation!(acc, storage, model::SimulationModel{<:Any, T}, eq::ConservationLaw{:TotalMasses}, eq_s, force::V, time) where {T<:MultiPhaseCompositionalSystemLV, V <: AbstractVector{<:FlowBoundaryCondition}} + state = storage.state + p = state.Pressure + for bc in force + c = bc.cell + acc_i = view(acc, :, c) + T_f = bc.trans_flow + Δp = p[c] - bc.pressure + q = T_f*Δp + apply_flow_bc!(acc_i, q, bc, model, state, time) + end +end + + +function apply_flow_bc!(acc, q, bc, model::SimulationModel{<:Any, T}, state, time) where T<:MultiPhaseCompositionalSystemLV + mob = state.PhaseMobilities + rho = state.PhaseMassDensities + ncomp = length(acc) + nph = size(rho, 1) + + rho_inj = bc.density + f_inj = bc.fractional_flow + c = bc.cell + # TODO: Capillary pressure. + if q > 0 + X = state.LiquidMassFractions + Y = state.VaporMassFractions + # Pressure inside is higher than outside, flow out from domain + sys = model.system + phase_ix = phase_indices(sys) + if has_other_phase(sys) + a, l, v = phase_ix + ncomp_mix = ncomp-1 + acc[ncomp_mix+1] += rho[a, c]*mob[a, c]*q + else + ncomp_mix = ncomp + l, v = phase_ix + end + q_l = rho[l, c]*mob[l, c]*q + q_v = rho[l, c]*mob[l, c]*q + for i in 1:ncomp_mix + acc[i] += q_l*X[i, c] + q_v*Y[i, c] + end + else + # TODO: This is duplicated code, factor out... + # Injection of mass + λ_t = 0.0 + for ph in eachindex(acc) + λ_t += mob[ph, c] + end + if isnothing(rho_inj) + # Density not provided, take saturation average from what we have in + # the inside of the domain + rho_inj = 0.0 + for ph in 1:nph + rho_inj += state.Saturations[ph, c]*rho[ph, c] + end + end + if isnothing(f_inj) + # Fractional flow not provided. We match the mass fraction we + # observe on the inside. + total = 0.0 + for i in 1:ncomp + total += state.TotalMasses[i, c] + end + for i in 1:ncomp + F = state.TotalMasses[i, c]/total + acc[ph] += q*rho_inj*λ_t*F + end + else + @assert length(f_inj) == ncomp + for i in 1:ncomp + F = f_inj[i] + acc[i] += q*rho_inj*λ_t*F + end + end + end +end + diff --git a/src/multicomponent/flux.jl b/src/multicomponent/flux.jl index 9004931b..4aeea19e 100644 --- a/src/multicomponent/flux.jl +++ b/src/multicomponent/flux.jl @@ -74,6 +74,7 @@ function phase_diffused_mass(D, ρ, α, S, face, grad) @inbounds D_α = D[α, face] den_α = cell -> @inbounds ρ[α, cell] # Take minimum - diffusion should not cross phase boundaries. - S = min(S[α, grad.left], S[α, grad.right]) + left, right = Jutul.cell_pair(grad) + S = min(S[α, left], S[α, right]) return -D_α*S*face_average(den_α, grad) end diff --git a/src/multicomponent/multicomponent.jl b/src/multicomponent/multicomponent.jl index 42d35074..84ea4814 100644 --- a/src/multicomponent/multicomponent.jl +++ b/src/multicomponent/multicomponent.jl @@ -1,27 +1,6 @@ using MultiComponentFlash const MINIMUM_COMPOSITIONAL_SATURATION = 1e-10 -function properties_present_when_saturation_is_zero(sys::Jutul.JutulSystem) - return true -end - -function properties_present_when_saturation_is_zero(sys) - return properties_present_when_saturation_is_zero(flow_system(sys)) -end - -function properties_present_when_saturation_is_zero(sys::MultiPhaseCompositionalSystemLV) - return properties_present_when_saturation_is_zero(sys.equation_of_state) -end - -function properties_present_when_saturation_is_zero(eos::KValuesEOS) - return true -end - -function properties_present_when_saturation_is_zero(eos::GenericCubicEOS) - return false -end - - @inline function is_pure_single_phase(s_immiscible) return s_immiscible > 1.0 - MINIMUM_COMPOSITIONAL_SATURATION end @@ -30,6 +9,7 @@ include("variables/variables.jl") include("utils.jl") include("flux.jl") include("sources.jl") +include("bc.jl") include("wells.jl") function select_primary_variables!(S, system::CompositionalSystem, model) @@ -61,7 +41,7 @@ function select_parameters!(prm, system::CompositionalSystem, model) prm[:Temperature] = Temperature() end -function convergence_criterion(model::CompositionalModel, storage, eq::ConservationLaw, eq_s, r; dt = 1.0, update_report = missing) +function convergence_criterion(model::CompositionalModel, storage, eq::ConservationLaw{:TotalMasses}, eq_s, r; dt = 1.0, update_report = missing) tm = storage.state0.TotalMasses a = active_entities(model.domain, Cells()) function scale(i) @@ -79,7 +59,7 @@ function convergence_criterion(model::CompositionalModel, storage, eq::Conservat end -function convergence_criterion(model::SimulationModel{<:Any, S}, storage, eq::ConservationLaw, eq_s, r; dt = 1.0, update_report = missing) where S<:MultiPhaseCompositionalSystemLV +function convergence_criterion(model::SimulationModel{<:Any, S}, storage, eq::ConservationLaw{:TotalMasses}, eq_s, r; dt = 1.0, update_report = missing) where S<:MultiPhaseCompositionalSystemLV sys = model.system state = storage.state active = active_entities(model.domain, Cells()) @@ -110,10 +90,13 @@ function convergence_criterion(model::SimulationModel{<:Any, S}, storage, eq::Co vol = as_value(state.FluidVolume) w = MultiComponentFlash.molar_masses(sys.equation_of_state) - e = compositional_criterion(state, dt, active, r, nc, w, sl, liquid_density, sv, vapor_density, sw, water_density, vol) + total_mass = domain_total_mass(state.TotalMasses, active) + + e, r = compositional_criterion(state, dt, active, r, nc, w, sl, liquid_density, sv, vapor_density, sw, water_density, vol, total_mass) names = model.system.components R = ( CNV = (errors = e, names = names), + MB = (errors = r, names = names), increment_dp_abs = (errors = (dp_abs/1e6, ), names = (raw"Δp (abs, MPa)", ), ), increment_dp_rel = (errors = (dp_rel, ), names = (raw"Δp (rel)", ), ), increment_dz = (errors = (dz, ), names = (raw"Δz", ), ) @@ -121,6 +104,16 @@ function convergence_criterion(model::SimulationModel{<:Any, S}, storage, eq::Co return R end +function domain_total_mass(tm, active) + total_mass = 0.0 + for i in active + for c in axes(tm, 1) + total_mass += value(tm[c, i]) + end + end + return total_mass +end + function compositional_increment(model, state, update_report::Missing) return 1.0 end @@ -183,31 +176,41 @@ function compositional_residual_scale(cell, dt, w, sl, liquid_density, sv, vapor return scale end -function compositional_criterion(state, dt, active, r, nc, w, sl, liquid_density, sv, vapor_density, sw, water_density, vol) - e = fill(-Inf, nc) +function compositional_criterion(state, dt, active, r, nc, w, sl, liquid_density, sv, vapor_density, sw, water_density, vol, total_mass) + e = zeros(nc) + mb = zeros(nc) for (ix, i) in enumerate(active) scaling = compositional_residual_scale(i, dt, w, sl, liquid_density, sv, vapor_density, sw, water_density, vol) for c in 1:(nc-1) - val = scaling*abs(r[c, ix]) + r_c = r[c, ix] + val = scaling*abs(r_c) if val > e[c] - e[c] = val + e[c] = abs(val) end + mb[c] += r_c end - valw = dt*abs(r[end, ix])/(water_density[i]*vol[i]) + valw = dt*r[end, ix]/(water_density[i]*vol[i]) if valw > e[end] - e[end] = valw + e[end] = abs(valw) + mb[end] += valw end end - return e + @. mb = dt*abs(mb)/total_mass + return (e, mb) end -function compositional_criterion(state, dt, active, r, nc, w, sl, liquid_density, sv, vapor_density, sw::Nothing, water_density::Nothing, vol) +function compositional_criterion(state, dt, active, r, nc, w, sl, liquid_density, sv, vapor_density, sw::Nothing, water_density::Nothing, vol, total_mass) e = zeros(nc) + mb = zeros(nc) for (ix, i) in enumerate(active) scaling = compositional_residual_scale(i, dt, w, sl, liquid_density, sv, vapor_density, sw, water_density, vol) for c in 1:nc - e[c] = max(e[c], scaling*abs(r[c, ix])) + r_c = r[c, ix] + val = scaling*r[c, ix] + e[c] = max(e[c], abs(val)) + mb[c] += r_c end end - return e + @. mb = dt*abs(mb)/total_mass + return (e, mb) end diff --git a/src/multicomponent/variables/density.jl b/src/multicomponent/variables/density.jl index 64a960e5..03f3697f 100644 --- a/src/multicomponent/variables/density.jl +++ b/src/multicomponent/variables/density.jl @@ -48,8 +48,8 @@ end eos = sys.equation_of_state cnames = eos.mixture.component_names # TODO: This is hard coded. - @assert cnames[1] == raw"H₂O" "First component was $(cnames[1]), expected H₂O" - @assert cnames[2] == raw"CO₂" "Second component was $(cnames[2]), expected CO₂" + @assert cnames[1] == raw"H2O" "First component was $(cnames[1]), expected H2O" + @assert cnames[2] == raw"CO2" "Second component was $(cnames[2]), expected CO2" @assert length(cnames) == 2 l, v = phase_indices(sys) for i in ix diff --git a/src/multiphase.jl b/src/multiphase.jl index 3f0183ba..48ed555a 100644 --- a/src/multiphase.jl +++ b/src/multiphase.jl @@ -2,6 +2,8 @@ # Abstract multiphase system get_phases(sys::MultiPhaseSystem) = sys.phases +get_phases(s::Symbol) = get_phases(Val(s)) + @inline number_of_phases(sys::MultiPhaseSystem) = length(get_phases(sys)) @inline reference_densities(sys::MultiPhaseSystem) = sys.rho_ref @inline reference_densities(sys::CompositeSystem) = reference_densities(flow_system(sys)) @@ -125,6 +127,8 @@ function initialize_primary_variable_ad!(state, model, pvar::Saturations, state_ return state end +Jutul.parameter_is_differentiable(::Saturations, model) = false + struct ConnateWater <: ScalarVariable end function Jutul.default_values(model, ::ConnateWater) @@ -434,7 +438,7 @@ end # @tullio acc[ph, ix[i]] = acc[ph, ix[i]] - phase_source(sources[i].cell, sources[i], rhoS[ph], kr, mu, ph) # end -function convergence_criterion(model::SimulationModel{D, S}, storage, eq::ConservationLaw, eq_s, r; dt = 1, update_report = missing) where {D, S<:MultiPhaseSystem} +function convergence_criterion(model::SimulationModel{D, S}, storage, eq::ConservationLaw{:TotalMasses}, eq_s, r; dt = 1, update_report = missing) where {D, S<:MultiPhaseSystem} M = global_map(model.domain) v = x -> as_value(Jutul.active_view(x, M, for_variables = false)) Φ = v(storage.state.FluidVolume) diff --git a/src/porousmedia.jl b/src/porousmedia.jl index 8bbcca2e..72eee036 100644 --- a/src/porousmedia.jl +++ b/src/porousmedia.jl @@ -102,13 +102,48 @@ function Jutul.discretize_domain(d::DataDomain, system::Union{MultiPhaseSystem, end -function discretized_domain_tpfv_flow(domain::Jutul.DataDomain; general_ad = false) +function discretized_domain_tpfv_flow(domain::Jutul.DataDomain; + general_ad = false, + kgrad = nothing, + upwind = nothing + ) N = domain[:neighbors] - nc = number_of_cells(physical_representation(domain)) - if general_ad - d = PotentialFlow(N, nc) + g = physical_representation(domain) + nc = number_of_cells(g) + # defaulted_disc = isnothing(kgrad) && isnothing(upwind) + kgrad_is_tpfa = (isnothing(kgrad) || eltype(kgrad) == TPFA || kgrad == :tpfa) + upw_is_tpfa = (isnothing(upwind) || eltype(upwind) == SPU || upwind == :spu) + + is_tpfa = kgrad_is_tpfa && upw_is_tpfa + if is_tpfa + if general_ad + d = PotentialFlow(N, nc) + else + d = TwoPointPotentialFlowHardCoded(N, nc) + end else - d = TwoPointPotentialFlowHardCoded(N, nc) + if kgrad == :tpfa_test + # Fallback version - use generic FVM assembly with TPFA. + kgrad = nothing + end + if kgrad isa Symbol + if kgrad == :tpfa + kgrad = nothing + else + K = domain[:permeability] + g = UnstructuredMesh(g) + T_base = reservoir_transmissibility(domain) + kgrad = Jutul.NFVM.ntpfa_decompose_faces(g, K, kgrad, tpfa_trans = T_base) + end + else + @assert isnothing(kgrad) || kgrad isa AbstractVector + end + if general_ad + ad_flag = :generic + else + ad_flag = :fvm + end + d = PotentialFlow(N, nc, kgrad = kgrad, upwind = upwind, ad = ad_flag) end disc = (mass_flow = d, heat_flow = d) G = MinimalTPFATopology(N, ncells = nc) diff --git a/src/thermal/equations.jl b/src/thermal/equations.jl index d7698440..e10d997c 100644 --- a/src/thermal/equations.jl +++ b/src/thermal/equations.jl @@ -1,9 +1,4 @@ -function select_equations!(eqs, sys::ThermalSystem, model::SimulationModel) - disc = model.domain.discretizations.heat_flow - eqs[:energy_conservation] = ConservationLaw(disc, :TotalThermalEnergy, 1) -end - -@inline function Jutul.face_flux!(Q, left, right, face, face_sign, eq::ConservationLaw{:TotalThermalEnergy, <:Any}, state, model::ThermalModel, dt, flow_disc::TwoPointPotentialFlowHardCoded) +@inline function Jutul.face_flux!(Q, left, right, face, face_sign, eq::ConservationLaw{:TotalThermalEnergy, <:Any}, state, model, dt, flow_disc::TwoPointPotentialFlowHardCoded) # Specific version for tpfa flux # TODO: Add general version for thermal grad = TPFA(left, right, face_sign) @@ -14,7 +9,7 @@ end return setindex(Q, q, 1) end -@inline function Jutul.face_flux!(q_i, face, eq::ConservationLaw{:TotalThermalEnergy, <:Any}, state, model::ThermalModel, dt, flow_disc::PotentialFlow, ldisc) +@inline function Jutul.face_flux!(q_i, face, eq::ConservationLaw{:TotalThermalEnergy, <:Any}, state, model, dt, flow_disc::PotentialFlow, ldisc) # Inner version, for generic flux kgrad, upw = ldisc.face_disc(face) ft = Jutul.flux_type(eq) diff --git a/src/thermal/thermal.jl b/src/thermal/thermal.jl index 5d853833..df6bcec3 100644 --- a/src/thermal/thermal.jl +++ b/src/thermal/thermal.jl @@ -1,33 +1,3 @@ - - -""" - ThermalSystem(flow_system, formulation = :Temperature) - -Geothermal system that defines heat transfer through fluid advection and through -the rock itself. Can be combined with a multiphase system using -[`Jutul.CompositeSystem`](@ref). -""" -struct ThermalSystem{T, F} <: JutulSystem - flow_system::F - function ThermalSystem(sys::T; - formulation = :Temperature - ) where T<:Union{MultiPhaseSystem, Missing} - @assert formulation == :Temperature - new{formulation, T}(sys) - end -end - -thermal_system(sys::ThermalSystem) = sys -thermal_system(sys::CompositeSystem) = sys.systems.thermal -flow_system(sys::ThermalSystem) = sys.flow_system - -const ThermalModel = SimulationModel{<:JutulDomain, <:ThermalSystem, <:Any, <:Any} - -const ThermalCompositionalModel = SimulationModel{<:JutulDomain, <:ThermalSystem{<:Any, <:CompositionalSystem}, <:Any, <:Any} -const ThermalBlackOilModel = SimulationModel{<:JutulDomain, <:ThermalSystem{<:Any, <:StandardBlackOilModel}, <:Any, <:Any} -const ThermalImmiscibleModel = SimulationModel{<:JutulDomain, <:ThermalSystem{<:Any, <:ImmiscibleSystem}, <:Any, <:Any} -const ThermalSinglePhaseModel = SimulationModel{<:JutulDomain, <:ThermalSystem{<:Any, <:SinglePhaseSystem}, <:Any, <:Any} - struct BulkVolume <: ScalarVariable end function Jutul.default_values(model, ::BulkVolume) return 1.0 @@ -137,6 +107,12 @@ struct PressureTemperatureDependentVariable{T, R, N} <: VectorVariables end end +function Jutul.subvariable(p::PressureTemperatureDependentVariable, map::FiniteVolumeGlobalMap) + c = map.cells + regions = Jutul.partition_variable_slice(p.regions, c) + return PressureTemperatureDependentVariable(p.tab, regions = regions) +end + function Jutul.values_per_entity(model, ::PressureTemperatureDependentVariable{T, R, N}) where {T, R, N} return N end @@ -168,7 +144,7 @@ function Jutul.values_per_entity(model, ::PressureTemperatureDependentEnthalpy{T return N end -@jutul_secondary function update_temperature_dependent_enthalpy!(H_phases, var::PressureTemperatureDependentEnthalpy{T, R, N}, model::ThermalCompositionalModel, Pressure, Temperature, LiquidMassFractions, VaporMassFractions, PhaseMassDensities, ix) where {T, R, N} +@jutul_secondary function update_temperature_dependent_enthalpy!(H_phases, var::PressureTemperatureDependentEnthalpy{T, R, N}, model::CompositionalModel, Pressure, Temperature, LiquidMassFractions, VaporMassFractions, PhaseMassDensities, ix) where {T, R, N} fsys = flow_system(model.system) @assert !has_other_phase(fsys) @assert N == number_of_components(fsys) @@ -249,52 +225,46 @@ function Jutul.default_parameter_values(data_domain, model, param::RockThermalCo return T end -number_of_phases(t::ThermalSystem) = number_of_phases(flow_system(t)) -number_of_components(t::ThermalSystem) = number_of_components(flow_system(t)) - -function select_primary_variables!(S, system::ThermalSystem, model) - S[:Temperature] = Temperature() -end - -function select_parameters!(S, system::ThermalSystem, model) - nph = number_of_phases(system) - # Rock itself - S[:RockHeatCapacity] = RockHeatCapacity() - S[:RockDensity] = RockDensity() - S[:BulkVolume] = BulkVolume() - # Fluid heat related parameters - S[:ComponentHeatCapacity] = ComponentHeatCapacity() - S[:FluidVolume] = FluidVolume() - # Fluid flow related parameters - S[:PhaseMassDensities] = ConstantCompressibilityDensities(nph) - S[:Pressure] = Pressure() - S[:Saturations] = Saturations() - S[:PhaseViscosities] = PhaseViscosities() - if !model_or_domain_is_well(model) - S[:PhaseMassMobilities] = PhaseMassMobilities() - S[:RelativePermeabilities] = RelativePermeabilitiesParameter() +function add_thermal_to_model!(model::MultiModel) + for (k, m) in pairs(model.models) + if m.system isa MultiPhaseSystem + add_thermal_to_model!(m) + end end + return m end -function select_parameters!(prm, disc::D, model::ThermalModel) where D<:Union{TwoPointPotentialFlowHardCoded, Jutul.PotentialFlow} - if !model_or_domain_is_well(model) - prm[:FluidThermalConductivities] = FluidThermalConductivities() - prm[:RockThermalConductivities] = RockThermalConductivities() - prm[:Transmissibilities] = Transmissibilities() - prm[:TwoPointGravityDifference] = TwoPointGravityDifference() +function add_thermal_to_model!(model) + set_primary_variables!(model, Temperature = Temperature()) + set_parameters!(model, + RockHeatCapacity = RockHeatCapacity(), + RockDensity = RockDensity(), + BulkVolume = BulkVolume(), + ComponentHeatCapacity = ComponentHeatCapacity(), + ) + set_secondary_variables!(model, + FluidInternalEnergy = FluidInternalEnergy(), + FluidEnthalpy = FluidEnthalpy(), + RockInternalEnergy = RockInternalEnergy(), + TotalThermalEnergy = TotalThermalEnergy() + ) + is_reservoir = !model_or_domain_is_well(model) + if is_reservoir + set_parameters!(model, + RockThermalConductivities = RockThermalConductivities(), + FluidThermalConductivities = FluidThermalConductivities() + ) end -end + disc = model.domain.discretizations.heat_flow + model.equations[:energy_conservation] = ConservationLaw(disc, :TotalThermalEnergy, 1) -function select_secondary_variables!(S, system::ThermalSystem, model) - S[:FluidInternalEnergy] = FluidInternalEnergy() - S[:FluidEnthalpy] = FluidEnthalpy() - S[:RockInternalEnergy] = RockInternalEnergy() - S[:TotalThermalEnergy] = TotalThermalEnergy() -end - -function select_minimum_output_variables!(out, system::ThermalSystem, model) + out = model.output_variables push!(out, :TotalThermalEnergy) push!(out, :FluidEnthalpy) + push!(out, :Temperature) + + unique!(out) + return model end include("variables.jl") diff --git a/src/thermal/variables.jl b/src/thermal/variables.jl index 6a705cfa..d0d1fdfe 100644 --- a/src/thermal/variables.jl +++ b/src/thermal/variables.jl @@ -1,4 +1,4 @@ -@jutul_secondary function update_fluid_internal_energy!(U, fe::FluidInternalEnergy, model::ThermalImmiscibleModel, Temperature, ComponentHeatCapacity, ix) +@jutul_secondary function update_fluid_internal_energy!(U, fe::FluidInternalEnergy, model, Temperature, ComponentHeatCapacity, ix) C = ComponentHeatCapacity @assert size(U) == size(C) "This fluid internal energy implementation assumes immiscible phases." for i in ix @@ -9,7 +9,7 @@ end end -@jutul_secondary function update_fluid_internal_energy!(U, fe::FluidInternalEnergy, model::ThermalSinglePhaseModel, Temperature, ComponentHeatCapacity, ix) +@jutul_secondary function update_fluid_internal_energy!(U, fe::FluidInternalEnergy, model::SinglePhaseModel, Temperature, ComponentHeatCapacity, ix) C = ComponentHeatCapacity @assert size(U) == size(C) "This fluid internal energy implementation assumes immiscible phases." for i in ix @@ -20,7 +20,7 @@ end end end -@jutul_secondary function update_fluid_internal_energy!(U, fe::FluidInternalEnergy, model::ThermalCompositionalModel, Temperature, ComponentHeatCapacity, LiquidMassFractions, VaporMassFractions, ix) +@jutul_secondary function update_fluid_internal_energy!(U, fe::FluidInternalEnergy, model::CompositionalModel, Temperature, ComponentHeatCapacity, LiquidMassFractions, VaporMassFractions, ix) fsys = flow_system(model.system) C = ComponentHeatCapacity X = LiquidMassFractions @@ -50,7 +50,7 @@ end end end -@jutul_secondary function update_fluid_enthalpy!(H, fe::FluidEnthalpy, model::ThermalModel, FluidInternalEnergy, Pressure, PhaseMassDensities, ix) +@jutul_secondary function update_fluid_enthalpy!(H, fe::FluidEnthalpy, model, FluidInternalEnergy, Pressure, PhaseMassDensities, ix) for i in ix p = Pressure[i] for ph in axes(H, 1) @@ -59,13 +59,13 @@ end end end -@jutul_secondary function update_rock_internal_energy!(U_r, e::RockInternalEnergy, model::ThermalModel, RockHeatCapacity, Temperature, ix) +@jutul_secondary function update_rock_internal_energy!(U_r, e::RockInternalEnergy, model, RockHeatCapacity, Temperature, ix) for i in ix U_r[i] = RockHeatCapacity[i]*Temperature[i] end end -@jutul_secondary function update_total_thermal_energy!(E_total, te::TotalThermalEnergy, model::ThermalModel, Saturations, PhaseMassDensities, FluidInternalEnergy, RockDensity, RockInternalEnergy, BulkVolume, FluidVolume, ix) +@jutul_secondary function update_total_thermal_energy!(E_total, te::TotalThermalEnergy, model, Saturations, PhaseMassDensities, FluidInternalEnergy, RockDensity, RockInternalEnergy, BulkVolume, FluidVolume, ix) U_f = FluidInternalEnergy U_r = RockInternalEnergy ρ_f = PhaseMassDensities diff --git a/src/types.jl b/src/types.jl index 735605ee..fad7235c 100644 --- a/src/types.jl +++ b/src/types.jl @@ -214,6 +214,8 @@ struct SinglePhaseSystem{P, F} <: MultiPhaseSystem where {P, F<:AbstractFloat} rho_ref::F end +const ImmiscibleModel = SimulationModel{D, S, F, C} where {D, S<:ImmiscibleSystem, F, C} + """ SinglePhaseSystem(phase = LiquidPhase(); reference_density = 1.0) @@ -226,6 +228,8 @@ function SinglePhaseSystem(phase = LiquidPhase(); reference_density = 1.0) return SinglePhaseSystem{typeof(phase), typeof(reference_density)}(phase, reference_density) end +const SinglePhaseModel = SimulationModel{D, S, F, C} where {D, S<:SinglePhaseSystem, F, C} + number_of_components(sys::SinglePhaseSystem) = 1 abstract type AbstractPhaseRelativePermeability{T, N} end @@ -258,6 +262,8 @@ Optionally, a label for the phase, the connate saturation and a small epsilon value used to avoid extrapolation can be specified. """ function PhaseRelativePermeability(s, k; label = :w, connate = s[1], epsilon = 1e-16) + s = collect(s) + k = collect(k) msg(i) = "k = $(k[i]) at entry $i corresponding to saturation $(s[i])" s, k = saturation_table_handle_defaults(s, k) for i in eachindex(s) @@ -606,3 +612,12 @@ function SurfaceWellConditions(sys::JutulSystem; kwarg...) end struct PrepareStepWellSolver end + + +struct PhasePotentials <: PhaseVariables + +end + +struct AdjustedCellDepths <: ScalarVariable + +end diff --git a/src/utils.jl b/src/utils.jl index 1a3e8604..ef764006 100644 --- a/src/utils.jl +++ b/src/utils.jl @@ -161,22 +161,45 @@ reservoir and that facility. used in the model. Each well must have a unique name. - `extra_out=true`: Return both the model and the parameters instead of just the model. +- `kgrad=nothing`: Type of spatial discretization to use: + - `:tpfa` or `nothing` gives standard two-point flux approximation (TPFA) with hard-coded + two-point assembly + - `:tpfa_test` gives TPFA with specialized finite-volume assembly. Should be + similar in performance to `:tpfa`, but does not make use of threads. + - `:avgmpfa` gives a consistent linear MPFA scheme that is more accurate for + meshes with anisotropic perm or non-orthogonal cells than `:tpfa`. + - `:ntpfa` gives a consistent nonlinear MPFA scheme (nonlinear version of + `:avgmpfa` that preserves monotonicity) +- `extra_outputs=Symbol[]`: Extra output variables for reservoir model. Defaults + to "typical" values seen in reservoir simulation. Valid values: Vector of + symbols to be output, `true` for all variables and `false` for the minimal set + required to restart simulations (typically only the primary variables and mass + of each component) ## Advanced model setup +Advanced options govern internals of the simulator, like type of automatic +differentation, how equations are linearized and so on. These should not impact +simulation results beyond what is allowed for the model tolerances, but can +impact simulation speed. + - `split_wells=false`: Add a facility model for each well instead of one facility model that controls all wells. This must be set to `true` if you want to use MPI or nonlinear domain decomposition. - `backend=:csc`: Backend to use. Can be `:csc` for serial compressed sparse - column CSC matrix, `:csr` for parallel compressed sparse row matrix. `:csr`` - is recommended when using MPI. + column CSC matrix, `:csr` for parallel compressed sparse row matrix. `:csr` is + a bit faster and is recommended when using MPI, HYPRE or multiple threads. - `context=DefaultContext()`: Context used for entire model. Not recommended to set up manually, use `backend` instead. - `assemble_wells_together=true`: Assemble wells in a single big matrix rather than many small matrices. -- `extra_outputs=Symbol[]`: Extra output variables for reservoir model. Defaults - to "typical" values seen in reservoir simulation. Valid values: Vector of - symbols to be output, `true` for all variables and `false` for the minimal set - required to restart simulations (typically only the primary variables) +- `block_backend=true`: Use block sparse representation. This is needed by the + iterative solvers and corresponding preconditioners. Setting this to `false` + will result in a direct solver being used. In addition, equations will be + assembled in an order similar to that of MRST (equation major instead of cell + major). +- `general_ad=false`: Use more general form of AD. Will result in slower + execution speed than if set to true, but can be useful when working with + custom discretizations. ## Increment and variable options These options govern the range of values and the maximum allowable change of @@ -197,12 +220,12 @@ low values can lead to slow convergence. for wells in SI units (Pa) - `dp_max_rel_well=nothing`: Maximum allowable relative pressure change in well - `ds_max=0.2`: Maximum change in saturations -- `dz_max=`: Maximum change in composition (for compositional models only) -- `p_min=`: Minimum pressure in model (hard limit) -- `p_max=`: Maximum pressure in model (hard limit) -- `dr_max=`: Maximum change in Rs/Rv for blackoil models over a Newton +- `dz_max=0.2`: Maximum change in composition (for compositional models only) +- `p_min=JutulDarcy.DEFAULT_MINIMUM_PRESSURE`: Minimum pressure in model (hard limit) +- `p_max=Inf`: Maximum pressure in model (hard limit) +- `dr_max=Inf`: Maximum change in Rs/Rv for blackoil models over a Newton iteration. Taken relative to the saturated value of the cell. -- `dT_max_rel=`: Maximum relative change in temperature (JutulDarcy uses Kelvin, +- `dT_max_rel=nothing`: Maximum relative change in temperature (JutulDarcy uses Kelvin, so comments about changing limits near zero above does not apply to typical reservoir temperatures) - `dT_max_abs=50.0`: Maximum absolute change in temperature (in °K/°C) @@ -227,6 +250,7 @@ function setup_reservoir_model(reservoir::DataDomain, system::JutulSystem; reservoir_context = nothing, general_ad = false, backend = :csc, + thermal = false, extra_outputs = [:LiquidMassFractions, :VaporMassFractions, :Rs, :Rv, :Saturations], split_wells = false, assemble_wells_together = true, @@ -250,6 +274,8 @@ function setup_reservoir_model(reservoir::DataDomain, system::JutulSystem; block_backend = true, nthreads = Threads.nthreads(), minbatch = 1000, + kgrad = nothing, + immutable_model = false, wells_systems = missing ) if !(wells isa AbstractArray) @@ -268,10 +294,15 @@ function setup_reservoir_model(reservoir::DataDomain, system::JutulSystem; # We first set up the reservoir rmodel = SimulationModel( reservoir, - system, + system; context = reservoir_context, - general_ad = general_ad + general_ad = general_ad, + kgrad = kgrad ) + if thermal + rmodel = add_thermal_to_model!(rmodel) + end + set_discretization_variables!(rmodel) set_reservoir_variable_defaults!(rmodel, dp_max_abs = dp_max_abs, dp_max_rel = dp_max_rel, @@ -324,6 +355,9 @@ function setup_reservoir_model(reservoir::DataDomain, system::JutulSystem; end wname = w.name wmodel = SimulationModel(w_domain, system, context = context) + if thermal + wmodel = add_thermal_to_model!(wmodel) + end set_reservoir_variable_defaults!(wmodel, dp_max_abs = dp_max_abs_well, dp_max_rel = dp_max_rel_well, @@ -344,7 +378,7 @@ function setup_reservoir_model(reservoir::DataDomain, system::JutulSystem; models[Symbol(string(wname)*string(:_ctrl))] = F end end - # Add facility that gorups the wells + # Add facility that groups the wells if !split_wells wg = WellGroup(map(x -> x.name, wells), can_shut_wells = can_shut_wells) F = SimulationModel(wg, mode, context = context, data_domain = DataDomain(wg)) @@ -353,7 +387,7 @@ function setup_reservoir_model(reservoir::DataDomain, system::JutulSystem; end # Put it all together as multimodel - model = reservoir_multimodel(models, split_wells = split_wells, assemble_wells_together = assemble_wells_together) + model = reservoir_multimodel(models, split_wells = split_wells, assemble_wells_together = assemble_wells_together, immutable_model = immutable_model) if extra_out parameters = setup_parameters(model, parameters) out = (model, parameters) @@ -490,7 +524,7 @@ end - `offset_its=1`: dampening parameter for time step selector where larger values lead to more pessimistic estimates. - `timesteps=:auto`: Set to `:auto` to use automatic timestepping, `:none` for - no autoamtic timestepping (i.e. try to solve exact report steps) + no automatic timestepping (i.e. try to solve exact report steps) - `max_timestep=si_unit(:year)`: Maximum internal timestep used in solver. ## Convergence criterions @@ -517,7 +551,9 @@ list a few of the most relevant entries here for convenience: - `failure_cuts_timestep=true`: Cut timestep instead of throwing an error when numerical issues are encountered (e.g. linear solver divergence). - `max_timestep_cuts=25`: Maximum number of timestep cuts before a solver gives - up. + up. Note that when using dynamic timestepping, this in practice defines a + minimal timestep, with more than the prescribed number of cuts being allowed + if the timestep is dynamically increased after cutting. Additional keyword arguments are passed onto [`simulator_config`](@ref). """ @@ -723,6 +759,13 @@ function simulate_reservoir(case::JutulCase; end else sim = simulator + # May have been passed kwarg that should be accounted for + if length(kwarg) > 0 + config = copy(config) + for (k, v) in kwarg + config[k] = v + end + end @assert !ismissing(config) "If simulator is provided, config must also be provided" end result = simulate!(sim, dt, forces = forces, config = config, restart = restart); @@ -784,18 +827,11 @@ end function setup_reservoir_cross_terms!(model::MultiModel) rmodel = reservoir_model(model) has_composite = rmodel isa Jutul.CompositeModel - if has_composite - systems = rmodel.system.systems - has_flow = haskey(systems, :flow) - has_thermal = haskey(systems, :thermal) - conservation = Pair(:flow, :mass_conservation) - energy = Pair(:thermal, :energy_conservation) - else - has_flow = rmodel.system isa MultiPhaseSystem - has_thermal = !has_flow - conservation = :mass_conservation - energy = :energy_conservation - end + + has_flow = rmodel.system isa MultiPhaseSystem + has_thermal = haskey(rmodel.equations, :energy_conservation) + conservation = :mass_conservation + energy = :energy_conservation for (k, m) in pairs(model.models) if k == :Reservoir # These are set up from wells via symmetry @@ -840,7 +876,12 @@ function reservoir_multimodel(model::MultiModel; kwarg...) return model end -function reservoir_multimodel(models::AbstractDict; specialize = false, split_wells = false, assemble_wells_together = haskey(models, :Facility)) +function reservoir_multimodel(models::AbstractDict; + specialize = false, + split_wells = false, + immutable_model = false, + assemble_wells_together = haskey(models, :Facility) + ) res_model = models[:Reservoir] is_block(x) = Jutul.is_cell_major(matrix_layout(x.context)) block_backend = is_block(res_model) @@ -902,6 +943,9 @@ function reservoir_multimodel(models::AbstractDict; specialize = false, split_we models = convert_to_immutable_storage(models) model = MultiModel(models, groups = groups, context = outer_context, reduction = red, specialize = specialize) setup_reservoir_cross_terms!(model) + if immutable_model + model = convert_to_immutable_storage(model) + end return model end @@ -996,10 +1040,18 @@ end Set up driving forces for a reservoir model with wells """ -function setup_reservoir_forces(model::MultiModel; control = nothing, limits = nothing, set_default_limits = true, kwarg...) +function setup_reservoir_forces(model::MultiModel; + control = nothing, + limits = nothing, + set_default_limits = true, + bc = nothing, + sources = nothing, + kwarg... + ) submodels = model.models has_facility = any(x -> isa(x.domain, WellGroup), values(submodels)) no_well_controls = isnothing(control) && isnothing(limits) + reservoir_forces = (bc = bc, sources = sources) @assert no_well_controls || has_facility "Model must have facility when well controls are provided." if haskey(submodels, :Facility) # Unified facility for all wells @@ -1011,7 +1063,7 @@ function setup_reservoir_forces(model::MultiModel; control = nothing, limits = n set_default_limits = set_default_limits ) # Set up forces for the whole model. - out = setup_forces(model, Facility = surface_forces; kwarg...) + out = setup_forces(model, Facility = surface_forces; kwarg..., Reservoir = reservoir_forces) else new_forces = Dict{Symbol, Any}() for (k, m) in pairs(submodels) @@ -1034,7 +1086,7 @@ function setup_reservoir_forces(model::MultiModel; control = nothing, limits = n ) end end - out = setup_forces(model; pairs(new_forces)..., kwarg...) + out = setup_forces(model; pairs(new_forces)..., kwarg..., Reservoir = reservoir_forces) end # If the model is a composite model we need to do some extra work to pass on # flow forces with the correct label. @@ -1582,3 +1634,38 @@ function reservoir_regions(d::DataDomain, type = :pvtnum) end return out end + +function set_discretization_variables!(model::MultiModel) + set_discretization_variables!(reservoir_model(model)) + return model +end + +function set_discretization_variables!(model; ntpfa_potential = true) + disc = model.domain.discretizations + flow = model.domain.discretizations.mass_flow + if flow isa PotentialFlow + if eltype(flow.kgrad) != TPFA + has_pc = !isnothing(get_variable(model, :CapillaryPressure, throw = false)) + # Potential, z on faces + xyz = model.data_domain[:cell_centroids] + if size(xyz, 1) == 3 + z = xyz[3, :] + zmin, zmax = extrema(z) + has_gravity = abs(zmax - zmin) > 1e-10 + else + has_gravity = false + end + if ntpfa_potential || has_gravity || has_pc + pp = PhasePotentials() + acd = AdjustedCellDepths() + if model.system isa CompositeSystem + pp = Pair(:flow, pp) + acd = Pair(:flow, acd) + end + set_secondary_variables!(model, PhasePotentials = pp) + set_parameters!(model, AdjustedCellDepths = acd) + end + end + end + return model +end diff --git a/src/variables/relperm/simple.jl b/src/variables/relperm/simple.jl index edd3bb38..6d32ca3e 100644 --- a/src/variables/relperm/simple.jl +++ b/src/variables/relperm/simple.jl @@ -173,6 +173,12 @@ end return kr end +function brooks_corey_relperm(s; n = 2, residual = 0, kr_max = 1.0, residual_total = residual) + @assert s <= 1.0 + @assert s >= 0.0 + return brooks_corey_relperm(s, n, residual, kr_max, residual_total) +end + function brooks_corey_relperm(s::T, n::Real, sr::Real, kwm::Real, sr_tot::Real) where T den = 1 - sr_tot sat = (s - sr) / den diff --git a/test/thermal.jl b/test/thermal.jl index 7544d3be..efd02e80 100644 --- a/test/thermal.jl +++ b/test/thermal.jl @@ -25,10 +25,7 @@ function solve_thermal(; s0[1, 2] = 0.0 # Define system and realize on grid - sys_f = ImmiscibleSystem((LiquidPhase(), VaporPhase())) - sys_t = ThermalSystem(sys_f) - - sys = reservoir_system(flow = sys_f, thermal = sys_t) + sys = ImmiscibleSystem((LiquidPhase(), VaporPhase())) D = discretized_domain_tpfv_flow(G) if use_blocks l = BlockMajorLayout() @@ -38,11 +35,11 @@ function solve_thermal(; ctx = DefaultContext(matrix_layout = l) model = SimulationModel(D, sys, data_domain = G, context = ctx) + JutulDarcy.add_thermal_to_model!(model) push!(model.output_variables, :Temperature) kr = BrooksCoreyRelativePermeabilities(2, [2.0, 2.0]) - replace_variables!(model, RelativePermeabilities = JutulDarcy.wrap_reservoir_variable(sys, kr)) - forces_f = nothing - forces = setup_forces(model, flow = forces_f) + replace_variables!(model, RelativePermeabilities = kr) + forces = setup_forces(model) parameters = setup_parameters(model, PhaseViscosities = [1e-3, 1e-3], @@ -80,7 +77,6 @@ function solve_thermal_wells(; block_backend = false, thermal = true, simple_well = false, - composite = thermal, single_phase = false ) day = 3600*24 @@ -95,7 +91,7 @@ function solve_thermal_wells(; rhoWS = 1000.0 rhoGS = 700.0 if single_phase - sys_f = SinglePhaseSystem(AqueousPhase(), reference_density = rhoWS) + sys = SinglePhaseSystem(AqueousPhase(), reference_density = rhoWS) nph = 1 i_mix = [1.0] rhoS = [rhoWS] @@ -104,30 +100,20 @@ function solve_thermal_wells(; # Set up a two-phase immiscible system phases = (AqueousPhase(), VaporPhase()) rhoS = [rhoWS, rhoGS] - sys_f = ImmiscibleSystem(phases, reference_densities = rhoS) + sys = ImmiscibleSystem(phases, reference_densities = rhoS) nph = 2 i_mix = [0.0, 1.0] c = [1e-6/bar, 1e-5/bar] end - sys_t = ThermalSystem(sys_f) - if composite - if thermal - sys = reservoir_system(flow = sys_f, thermal = sys_t) - else - sys = reservoir_system(flow = sys_f) - end - else - if thermal - sys = sys_t - else - sys = sys_f - end - end wells = [I, P] - model, parameters = setup_reservoir_model(res, sys, wells = wells, block_backend = block_backend) + model, parameters = setup_reservoir_model(res, sys, + thermal = thermal, + wells = wells, + block_backend = block_backend + ) # Replace the density function with our custom version for wells and reservoir ρ = ConstantCompressibilityDensities(p_ref = 1*bar, density_ref = rhoS, compressibility = c) - replace_variables!(model, PhaseMassDensities = JutulDarcy.wrap_reservoir_variable(sys, ρ)) + replace_variables!(model, PhaseMassDensities = ρ) dt = repeat([30.0]*day, 12*5) rate_target = TotalRateTarget(sum(parameters[:Reservoir][:FluidVolume])/sum(dt)) bhp_target = BottomHolePressureTarget(50*bar) @@ -152,30 +138,33 @@ function solve_thermal_wells(; ) end result = simulate_reservoir(state0, model, dt, - forces = forces, parameters = parameters, info_level = -1) - @test length(result.states) == length(dt) - return (result.states, result.result.reports, missing) + forces = forces, parameters = parameters, info_level = 5) + return (result.states, result.result.reports, dt, model) end -## @testset "thermal wells" begin - @testset "basic composite system" begin - # Check that composite system gives same result before adding thermal - states, reports, sim = solve_thermal_wells(nx = 3, thermal = false, composite = false); - states_c, reports_c, sim_c = solve_thermal_wells(nx = 3, thermal = false, composite = true); - using Test - rstate = states[end] - rstate_c = states_c[end] - @test norm(rstate[:Pressure]-rstate_c[:Pressure])/norm(rstate[:Pressure]) < 1e-8 - @test norm(rstate[:Saturations]-rstate_c[:Saturations])/norm(rstate[:Saturations]) < 1e-6 - end @testset "well types and backends" begin - for simple_well in [false, true] + for simple_well in [false] for block_backend in [false, true] - solve_thermal_wells(nx = 3, nz = 1, - thermal = true, composite = true, simple_well = simple_well, block_backend = block_backend); + if block_backend + bs = "block" + else + bs = "scalar" + end + if simple_well + ws = "simple" + else + ws = "ms" + end + @testset "$bs $ws well" begin + states, reports, dt, = solve_thermal_wells(nx = 3, nz = 1, + thermal = true, + simple_well = simple_well, + block_backend = block_backend + ); + @test length(states) == length(dt) + end end end end end -