From 867718e84c3d4b6c9d816ece0846b32dd600ab5b Mon Sep 17 00:00:00 2001 From: Martijn van den Ende Date: Tue, 28 Jan 2020 13:42:37 +0100 Subject: [PATCH] Added SEAS BP2 example --- README.md | 3 +- examples/scec_benchmarks/BP2/SEAS_BP2.pdf | Bin 0 -> 372778 bytes examples/scec_benchmarks/BP2/seas_bp2.py | 338 ++++++++++++++++++++++ 3 files changed, 340 insertions(+), 1 deletion(-) create mode 100644 examples/scec_benchmarks/BP2/SEAS_BP2.pdf create mode 100644 examples/scec_benchmarks/BP2/seas_bp2.py diff --git a/README.md b/README.md index 1ba6580c..31ebeedb 100644 --- a/README.md +++ b/README.md @@ -46,12 +46,13 @@ To get started with QDYN, see [the documentation](http://ydluo.github.io/qdyn/). - ----------------------- ## News +*January 2020* | The QDYN team participated in the *Community Code Verification Exercise for Simulating Sequences of Earthquakes and Aseismic Slip (SEAS)*, funded by SCEC. The results of this community benchmark exercise are accepted for publication in Seismological Research Letters (see also this [preprint on EarthArXiv](https://eartharxiv.org/2dmp5/)). A script to run these simulations in QDYN is included in the `/examples/scec_benchmarks/BP2` directory. + *29 August 2019* | QDYN version 2.2 has been released! This version is now more user-friendly than QDYN has ever been, with a new documentation website, Jupyter Notebooks, and automated testing for developers. See the [release notes](https://github.com/ydluo/qdyn/releases/tag/qdyn_2.2) for details. *21 August 2019* | QDYN version 2.1 has been released! See the [release notes](https://github.com/ydluo/qdyn/releases/tag/qdyn_2.1) for new features and (minor) bug fixes. diff --git a/examples/scec_benchmarks/BP2/SEAS_BP2.pdf b/examples/scec_benchmarks/BP2/SEAS_BP2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b3742dd0721b2b0babfbe11d09fad1de87fc2597 GIT binary patch literal 372778 zcmeFYRd6ItlO-x$$=YB4i2Gcz-DiyhTfSDD*APQjo+y220V37NJ6~LhK&v<4g zW&j@_jH#W;Ka&Ff$38I3O#jIc6;B6K0E32-so7sMOzq5FEC3wL00uEj8y8cjzegKG z7gG^aV|$aoqyBYNFm$qY2K)npu)U3|t(`OAuZ0RurY4rgF7{4;E&Xd1fITZfrFfQj?(eJBAKlX7oX2#4+CY+{Bh8(PnY{pEc>>NfW9PB@gnb{4Q*!g%&IoM5@3|TmS zurd8$Wiw%7Vl`o8F=l5m<1{ieHDvk0r~8iwoL!tu4Q*jOvW$&P40g;7j0_AopoujT zdu>pWMn|B`jsqm@@R7>hAVgr^f+W@v0dpVp;VLhPq}crofh$C|0Hu9SjSost)O~*v z<2p{b=t5Fo383u@c#wab`|q>=kGuK*#q9rY|BoR6^KZfYA5@`WXm0BKH>5fK72y9` zaKeTzhBo%*|A_$pa>oCmm;ZM8DFYZ;{!+}puTn;K_WwJ04GjK?+)-l#Ljwa0b0njm zAU`rg0?Y9V*Sfn|A{5mHnpVVHinS9 zuWJE5(2z?r7nrL}NB|{TZe#x#fx<%$W)7v^e&xJn{Mo_7uW4Cm~3T7npMUze0`Z&BAWBelY 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+ os.path.join( + os.path.join(__file__, qdyn_dir), "src") +) +# Append src directory to Python path +sys.path.append(src_dir) +# Import QDYN wrapper +from pyqdyn import qdyn + +# Instantiate QDYN wrapper +p = qdyn() +# Get current date +now = datetime.now() +# Define output directory; create if needed +data_dir = "BP_output" +if not os.path.isdir(data_dir): + os.mkdir(data_dir) + +# Output header files +static_header = "" +static_header += "# problem=SEAS Benchmark No.1\n" +static_header += "# code=QDYN\n" +static_header += "# version=2.0\n" +static_header += "# modeler=Luo et al.\n" +static_header += "# date=%s\n" % now.strftime("%Y/%m/%d") + + +def write_timeseries(data, IOT, dz): + """ + Helper routine to write time-series data to file + """ + + # If data size exceeds limit: downsample + Nt = len(data[0]) + stride = 1 + if Nt > int(1e5): + stride = 10 + Nt = Nt // stride + + # Loop over all depth intervals + for i, z in enumerate(IOT): + # Generate headers + header = "" + static_header + header += "# element_size=%.3fm\n" % dz + header += "# location= on fault, %.3fkm depth\n" % (z * 1e-3) + header += "# num_time_steps=%d\n" % Nt + header += "# Column #1 = Time (s)\n" + header += "# Column #2 = Slip (m)\n" + header += "# Column #3 = Slip rate (log10 m/s)\n" + header += "# Column #4 = Shear stress (MPa)\n" + header += "# Column #5 = State (log10 s)\n" + header += "#\n" + header += "t slip slip_rate shear_stress state\n" + + # Filename + filename = "fltst_dp%03d_dz=%.1f" % (1e-2 * z, dz) + file = os.path.join(data_dir, filename) + + # Write headers + with open(file, "w") as f: + f.write(header) + + # Extract output data (and downsample) + output = data[i][["t", "x", "v", "tau", "theta"]][::stride] + # Convert slip_rate, shear_stress, theta + output["v"] = np.log10(output["v"]) + output["tau"] *= 1e-6 + output["theta"] = np.log10(output["theta"]) + # Write data to file (append) + with open(file, "a") as f: + output.to_csv(f, index=False, header=False, sep=" ") + + print("Time-series output successful") + pass + + +def write_slip(ox, z, dz): + """ + Helper routine to write snapshot data to file + """ + + mask = np.isfinite(ox["x"]) + x = ox["x"][mask].unique() + x_order = np.argsort(x) + t_vals = np.sort(ox["t"].unique()) + + Nx = len(x) + Nt = len(t_vals) + t_vals = t_vals[:-1] + + slip = ox["slip"][:Nx * (Nt - 1)].values.reshape((Nt - 1, Nx)) + slip = slip.T[x_order].T + v = ox["v"][:Nx * (Nt - 1)].values.reshape((Nt - 1, Nx)) + v = v.T[x_order].T + v_max = np.array([np.nanmax(v[i]) for i in range(Nt - 1)]) + v_max = np.log10(v_max) + + # First row contains depth intervals + first_row = np.hstack([0, 0, z]) + # Create output buffer + output = np.hstack([t_vals.reshape(-1, 1), v_max.reshape(-1, 1), slip]) + output = np.vstack([first_row, output]) + output = pd.DataFrame(output) + + # Create headers + header = "" + static_header + header += "# element_size=%.3f\n" % dz + header += "# Row #1 = Depth (m) with two zeros first\n" + header += "# Column #1 = Time (s)\n" + header += "# Column #2 = Max slip rate (log10 m/s)\n" + header += "# Columns #3-%d = Slip (m)\n" % (slip.shape[1] + 2) + header += "z\n" + header += "t max_slip_rate slip\n" + + # Filename + filename = "devol_dz=%.1f.dat" % dz + file = os.path.join(data_dir, filename) + + # Write headers + with open(file, "w") as f: + f.write(header) + + # Write data to file (append) + with open(file, "a") as f: + output.to_csv(f, index=False, header=False, sep=" ") + + print("Slip output successful") + pass + + +def slip_distribution_profile(ox, t_step, t_step_subseismic, t_step_seismic, slip_ref, depth=15e3): + """ + Helper routine to plot the snapshot data (slip contours) + """ + mask = np.isfinite(ox["x"]) + x = ox["x"][mask].unique() + x_order = np.argsort(x) + t_vals = np.sort(ox["t"].unique()) + + z0 = 0 + z_max = depth*1e-3 + z = np.linspace(0, z_max, len(x)) + z0 + + Nx = len(x) + Nt = len(t_vals) + t_vals = t_vals[:-1] + slip = ox["slip"][:Nx*(Nt-1)].values.reshape((Nt-1, Nx)) + slip = slip.T[x_order].T + v = ox["v"][:Nx*(Nt-1)].values.reshape((Nt-1, Nx)) + v = v.T[x_order].T + + v_max = np.array([np.nanmax(v[i]) for i in range(Nt-1)]) + + v_subseismic = 1e-7 + v_seismic = 1e-3 + + t_prev = 0 + inds_seismic = (v_max >= v_seismic) + inds_subseismic = (v_max >= v_subseismic) & (v_max < v_seismic) + + ref_ind = np.where(slip[:,0] > slip_ref)[0][0] + slip_ref = slip[ref_ind,:] + + fig = plt.figure(figsize=(15,8), facecolor="white") + colours = seaborn.color_palette("deep", 5) + colours[0] = "b" + colours[1] = "r" + colours[2] = "b" + + ax = fig.add_subplot(111) + + for i in range(Nt-1): + if inds_seismic[i]: + if t_vals[i] > t_prev + t_step_seismic: + plt.plot(slip[i]-slip_ref, z, ls="--", c=colours[1], lw=0.8) + t_prev = t_vals[i] + elif inds_subseismic[i]: + if t_vals[i] > t_prev + t_step_subseismic: + plt.plot(slip[i]-slip_ref, z, ls="-", c=colours[2], lw=1.0) + t_prev = t_vals[i] + else: + if t_vals[i] > t_prev + t_step: + plt.plot(slip[i]-slip_ref, z, ls="-", c=colours[0], lw=1.5) + t_prev = t_vals[i] + + t_day = 24*3600.0 + t_yr = 365*t_day + plt.plot([np.nan]*2, [np.nan]*2, "-", c=colours[0], label="Interseismic (%.0f yr)" % (t_step/t_yr)) + plt.plot([np.nan]*2, [np.nan]*2, "-", c=colours[2], label="Subseismic (%.1f day)" % (t_step_subseismic/t_day)) + plt.plot([np.nan]*2, [np.nan]*2, "--", c=colours[1], label="Coseismic (%.1f sec)" % (t_step_seismic)) + plt.legend(bbox_to_anchor=(0.0, 1.1, 1.0, .102), loc="center", ncol=3, borderaxespad=0.0) + + plt.ylim((np.min(z), np.max(z))) + plt.xlim((0, np.max(slip)-np.max(slip_ref))) + plt.ylabel("depth [km]") + plt.xlabel("accumulated slip [m]") + plt.gca().invert_yaxis() + ax.xaxis.tick_top() + ax.xaxis.set_label_position('top') + plt.tight_layout() + plt.subplots_adjust(top=0.85) + plt.show() + + +""" Simulation parameters """ + +t_yr = 3600*24*365.0 # Seconds in 1 year [s] +t_max = 1200*t_yr # Simulation time [s] + +rho = 2670.0 # Rock density [kg/m3] +Vs = 3464.0 # Shear wave speed [m/s] +mu = rho * Vs**2 # Shear modulus [Pa] +eta = mu / (2 * Vs) +sigma = 50e6 # Effective normal stress [Pa] +V_pl = 1e-9 # Plate rate [m/s] +V_ini = V_pl # Initial velocity [m/s] +H = 15e3 # Depth extent of VW region [m] +h = 3e3 # Width of VW-VS transition region [m] +L = 40e3 # With of frictional fault [m] + +# Target element sizes: {25, 50, 100, 200, 400, 800} [m] +dz = 25.0 # Target cell size +N_approx = L / dz # Approximate number of fault elements + +# Compute the nearest power of 2 +logN = np.log2(N_approx) +N = int(np.power(2, np.round(logN))) +dz2 = L / N +print("Target dz: %.1f \t Current dz: %.1f" % (dz, dz2)) + +dz_slip = 100.0 +dN_slip = 1 +if dz2 < dz_slip: + logdN_slip = np.log2(dz_slip / dz2) + dN_slip = int(np.power(2, np.round(logdN_slip))) + +""" Rate-and-state friction parameters """ + +a0 = 0.010 # Min a +a_max = 0.025 # Max a +b = 0.015 # Constant b +Dc = 0.004 # Critical slip distance +f_ref = 0.6 # Reference friction value +V_ref = 1e-6 # Reference velocity + +z = np.arange(dz2 / 2, L, dz2) # Depth vector +a = a0 + (a_max - a0) * (z - H)/h # Depth-dependent values of a +a[z < H] = a0 # Shallow cutoff +a[z >= H + h] = a_max # Deep cutoff + +# Construct initial stress state +tau_exp = np.exp( (f_ref + b*np.log(V_ref / V_ini)) / a_max ) +tau_sinh = np.arcsinh(V_ini * tau_exp / (2 * V_ref)) +tau_ini = sigma * a_max * tau_sinh + eta * V_ini + +# Construct initial "state" state +theta_sinh = np.sinh((tau_ini - eta * V_ini) / (a * sigma)) +theta_log = np.log(theta_sinh * 2 * V_ref / V_ini) +theta_ini = (Dc / V_ref) * np.exp((a / b) * theta_log - f_ref / b) + +# Requested timeseries output depths +z_IOT = np.array([0.0, 2.4, 4.8, 7.2, 9.6, 12.0, 14.4, 16.8, 19.2, 24.0, 28.8, 36.0]) * 1e3 +# Corresponding fault element indices +IOT = [bisect_left(z, zi) for zi in z_IOT] +# Get actual output depth intervals +z_IOT_true = z[IOT] + +# Python dictionary with general settings +set_dict = { + "N": N, # number of fault segments + "NXOUT": dN_slip, # snapshot output spacing + "NTOUT": 100, # snapshot output frequency + "ACC": 1e-7, # Solver accuracy + "MU": mu, # Shear modulus + "DTTRY": 1e-8, # First time step (needs to be small) + "TMAX": t_max, # Run simulation 200 years + "MESHDIM": 1, # One-dimensional fault + "VS": Vs, # Shear wave velocity + "L": L, # Fault length (depth) + "FINITE": 3, # Finite fault with free surface + "IC": 0, # Location for time-series output (7.5 km depth) + "SOLVER": 2, # Runge-Kutta solver + "V_PL": V_pl, # Plate velocity + "FAULT_TYPE": 1, # Strike-slip fault (right-lateral) +} + +# Python dictionary with rate-and-state friction parameters +set_dict_RSF = { + "RNS_LAW": 2, # Using regularised RSF + "THETA_LAW": 1, # Using the ageing law + "DC": Dc, # Dc = 40 mm + "V_0": V_ini, # Initial velocity + "V_SS": V_ref, # Reference velocity + "MU_SS": f_ref, # Reference friction + "A": a0, # Direct effect + "B": b, # Evolution effect + "SIGMA": sigma, # Effective normal stress +} + +set_dict["TH_0"] = 0.99*set_dict_RSF["DC"]/set_dict_RSF["V_0"] +set_dict["SET_DICT_RSF"] = set_dict_RSF + +p.settings(set_dict) +p.render_mesh() + +p.mesh_dict["A"][:] = a[:] +p.mesh_dict["TH_0"][:] = theta_ini[:] +p.mesh_dict["IOT"][IOT] = 1 + +print("Writing input file") +p.write_input() +print("Running simulation") +p.run() +print("Reading output") +p.read_output(read_ot=True, read_ox=True) + +print("Writing results") +write_timeseries(data=p.iot, IOT=z_IOT_true, dz=dz2) +write_slip(ox=p.ox, z=z[::set_dict["NXOUT"]], dz=dz2) + +print("Plotting results") +slip_distribution_profile( + ox=p.ox, t_step=5*t_yr, t_step_subseismic=5*t_yr, t_step_seismic=1.0, + slip_ref=0.0, depth=set_dict["L"] +)