Simple_Specfem2D_Kernel.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "29d1f31f-116d-4b8d-b268-98e655f7fc24",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Preamble"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f69182ea-b8ff-4cfb-bf0e-7663c76d3e47",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "from scipy.integrate import simps\n",
    "import matplotlib.pyplot as plt\n",
    "import obspy\n",
    "import re"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "35536b56-e981-4ba5-88c3-53fad86a0e42",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Some utility functions\n",
    "\n",
    "def read_trace(filename):\n",
    "    \"\"\"Reads an ASCII file and returns a obspy Traces\"\"\"\n",
    "    data = np.loadtxt(filename)\n",
    "    # first column is time, second column is the data\n",
    "    times = data[:, 0]\n",
    "    disp = data[:, 1]\n",
    "    # get station name from the filename\n",
    "    net, sta, comp, *_ = filename.split(\"/\")[-1].split(\".\")\n",
    "    delta = times[1] - times[0]\n",
    "    headers = {\"station\": sta, \"network\": net, \"channel\": comp, \"delta\": delta, \"b\": times[0]}\n",
    "    return obspy.Trace(disp, headers)\n",
    "\n",
    "\n",
    "def save_trace(tr, filename):\n",
    "    \"\"\"Writes out the traces as an ASCII file. Uses b value as the beginning.\"\"\"\n",
    "    data = np.zeros((len(tr.data), 2))\n",
    "    data[:, 0] = tr.times()+tr.stats.b\n",
    "    data[:, 1] = tr.data\n",
    "    np.savetxt(filename, data)\n",
    "    \n",
    "    \n",
    "def specfem_write_parameters(filename, parameters, output_file=None):\n",
    "    \"\"\"Write parameters to a specfem config file\"\"\"\n",
    "\n",
    "    with open(filename) as f:\n",
    "        pars = f.read()\n",
    "\n",
    "    for varname, value in parameters.items():\n",
    "        pat = re.compile(\n",
    "            r\"(^{varname}\\s*=\\s*)([^#$\\s]+)\".format(varname=varname),\n",
    "            re.MULTILINE)\n",
    "        pars = pat.sub(r\"\\g<1>{value}\".format(value=value), pars)\n",
    "\n",
    "    if output_file is None:\n",
    "        output_file = filename\n",
    "\n",
    "    with open(output_file, \"w\") as f:\n",
    "        f.write(pars)\n",
    "        \n",
    "        \n",
    "def specfem2D_prep_save_forward(filename=None):\n",
    "    if filename is None:\n",
    "        filename = \"./DATA/Par_file\"\n",
    "    params = {\n",
    "        \"SIMULATION_TYPE\": 1,\n",
    "        \"SAVE_FORWARD\": \".true.\"\n",
    "    }\n",
    "    specfem_write_parameters(filename, params)\n",
    "    \n",
    "def specfem2D_prep_adjoint(filename=None):\n",
    "    if filename is None:\n",
    "        filename = \"./DATA/Par_file\"\n",
    "    params = {\n",
    "        \"SIMULATION_TYPE\": 3,\n",
    "        \"SAVE_FORWARD\": \".false.\"\n",
    "    }\n",
    "    specfem_write_parameters(filename, params)\n",
    "    \n",
    "\n",
    "    \n",
    "def grid(x, y, z, resX=100, resY=100):\n",
    "    \"\"\"\n",
    "    Converts 3 column data to matplotlib grid\n",
    "    \"\"\"\n",
    "    # Can be found in ./utils/Visualization/plot_kernel.py\n",
    "    from scipy.interpolate import griddata\n",
    "\n",
    "    xi = np.linspace(min(x), max(x), resX)\n",
    "    yi = np.linspace(min(y), max(y), resY)\n",
    "\n",
    "    # mlab version\n",
    "    #Z = griddata(x, y, z, xi, yi, interp='linear')\n",
    "    # scipy version\n",
    "    Z = griddata((x, y), z, (xi[None,:], yi[:,None]), method='cubic')\n",
    "\n",
    "    X, Y = np.meshgrid(xi, yi)\n",
    "    return X, Y, Z\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76ee3889-80c2-461c-a62c-c6badec74e33",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Setting up Specfem2D"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c30656cc-09e8-4c2d-8148-0c5405ff4e58",
   "metadata": {
    "tags": []
   },
   "source": [
    "You can find the Specfem2D package on [GitHub](https://github.com/geodynamics/specfem2d). You can download it from the website or using `git`. This application uses `devel` branch.\n",
    "\n",
    "```sh\n",
    "git clone --branch=devel https://github.com/geodynamics/specfem2d.git\n",
    "```\n",
    "\n",
    "Compile it using:\n",
    "```sh\n",
    "cd specfem2d\n",
    "./configure\n",
    "make\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "aab9c522-3461-49ea-852d-006d8af11264",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the directory path for executable files\n",
    "specfem2d_path = \"./specfem2d/bin\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c15093c-acfa-4441-94d3-5a5b3d6a5428",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Setting up the model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "670a1302-121b-46a8-8f93-f7e585b595cd",
   "metadata": {},
   "source": [
    "In the `DATA/Par_file` following is set:\n",
    "\n",
    "\n",
    "```toml\n",
    "# set the type of calculation (P-SV or SH/membrane waves)\n",
    "P_SV                            = .false.\n",
    "\n",
    "...\n",
    "\n",
    "# seismogram formats\n",
    "save_ASCII_seismograms          = .true.         # save seismograms in ASCII format or not\n",
    "\n",
    "...\n",
    "\n",
    "# use an existing STATION file found in ./DATA or create a new one from the receiver positions below in this Par_file\n",
    "use_existing_STATIONS           = .true.\n",
    "\n",
    "# save sensitivity kernels in ASCII format (much bigger files, but compatible with current GMT scripts) or in binary format\n",
    "save_ASCII_kernels              = .true.\n",
    "\n",
    "...\n",
    "\n",
    "# Stacey ABC\n",
    "STACEY_ABSORBING_CONDITIONS     = .true.\n",
    "\n",
    "...\n",
    "\n",
    "# number of model materials\n",
    "nbmodels                        = 4\n",
    "1 1 2700.d0 3000.d0 1800.0d0 0 0 9999 9999 0 0 0 0 0 0\n",
    "\n",
    "...\n",
    "\n",
    "#-----------------------------------------------------------\n",
    "#\n",
    "# PARAMETERS FOR INTERNAL MESHING\n",
    "#\n",
    "#-----------------------------------------------------------\n",
    "\n",
    "# file containing interfaces for internal mesh\n",
    "interfacesfile                  = interfaces.dat\n",
    "\n",
    "# geometry of the model (origin lower-left corner = 0,0) and mesh description\n",
    "xmin                            = 0.d0           # abscissa of left side of the model\n",
    "xmax                            = 4000.d0        # abscissa of right side of the model\n",
    "nx                              = 80             # number of elements along X\n",
    "\n",
    "# absorbing boundary parameters (see absorbing_conditions above)\n",
    "absorbbottom                    = .true.\n",
    "absorbright                     = .true.\n",
    "absorbtop                       = .true.\n",
    "absorbleft                      = .true.\n",
    "\n",
    "# define the different regions of the model in the (nx,nz) spectral-element mesh\n",
    "nbregions                       = 1              # then set below the different regions and model number for each region\n",
    "# format of each line: nxmin nxmax nzmin nzmax material_number\n",
    "1 80  1 80 1\n",
    "```\n",
    "\n",
    "We have a homogenenous model with width and height of 4000 meters and relevant model parameters are $\\rho=2700~g/cm^3$ and $V_s=1800~m/s$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c4e4d31d-ef1f-4824-ae20-d3f6baf3c617",
   "metadata": {
    "tags": []
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   "source": [
    "## Source and Stations\n",
    "\n",
    "Source parameters are set in the `DATA/SOURCE` file:\n",
    "\n",
    "```toml\n",
    "# location:\n",
    "xs                              = 1000. \n",
    "zs                              = 2000.\n",
    "\n",
    "...\n",
    "\n",
    "# Force\n",
    "source_type                     = 1  \n",
    "\n",
    "...\n",
    "\n",
    "# Ricker wavelet\n",
    "time_function_type=1\n",
    "\n",
    "# dominant source frequency (Hz)\n",
    "f0                              = 10.0\n",
    "```\n",
    "\n",
    "\n",
    "Station information is set in `DATA/STATIONS` file:\n",
    "\n",
    "```\n",
    "# network station    x                   z                  not used in 2D\n",
    "S0001    AA          3000.0000000        2000.0000000       0.0         0.0\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "341bc1f3-a156-42ab-97c9-ef8da3cfe6a3",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Forward Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c5bbfbf-f74f-4a06-a0f2-940ccf849cc8",
   "metadata": {},
   "source": [
    "To keep the last frame for adjoint simulation, following `DATA/Par_file` needs be set\n",
    "\n",
    "```toml\n",
    "SIMULATION_TYPE                 = 1\n",
    "# save the last frame, needed for adjoint simulation\n",
    "SAVE_FORWARD                    = .false.\n",
    "```\n",
    "\n",
    "`specfem2D_prep_save_forward` function can be used for this purpose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "16b64e23-0d70-4c40-b291-776164a05c70",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Prepare Par_file\n",
    "specfem2D_prep_save_forward()\n",
    "# Create the OUTPUT_FILES directory if needed\n",
    "os.makedirs(\"OUTPUT_FILES\", exist_ok=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "70e2e2b6-6a3d-4cc8-bb80-22356d335d36",
   "metadata": {
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " **********************************************\n",
      " *** Specfem 2-D Mesher - serial version    ***\n",
      " **********************************************\n",
      "\n",
      " Running Git version of the code corresponding to commit cf89366717d9435985ba852ef1d41a10cee97884\n",
      " dating From Date:   Mon Nov 29 23:20:51 2021 -0800\n",
      "\n",
      " Reading the parameter file...\n",
      "\n",
      " Title of the simulation: Simple Kernel\n",
      "\n",
      "\n",
      " Receiver lines:\n",
      "   Nb of line sets =            2\n",
      "\n",
      "   using existing STATIONS file: ./DATA/STATIONS\n",
      "   file name is ./DATA/STATIONS\n",
      "   found            1  receivers\n",
      "\n",
      " Materials:\n",
      "   Nb of solid, fluid or porous materials =            4\n",
      "\n",
      " --------\n",
      " Material #           1  isotropic\n",
      " rho,cp,cs   =    2700.0000000000000        3000.0000000000000        1800.0000000000000     \n",
      " Qkappa, Qmu =    9999.0000000000000        9999.0000000000000     \n",
      " Material is solid\n",
      " --------\n",
      " Material #           2  isotropic\n",
      " rho,cp,cs   =    2500.0000000000000        2700.0000000000000        0.0000000000000000     \n",
      " Qkappa, Qmu =    9999.0000000000000        9999.0000000000000     \n",
      " Material is fluid\n",
      " --------\n",
      " Material #           3  isotropic\n",
      " rho,cp,cs   =    2200.0000000000000        2500.0000000000000        1443.3750000000000     \n",
      " Qkappa, Qmu =    9999.0000000000000        9999.0000000000000     \n",
      " Material is solid\n",
      " --------\n",
      " Material #           4  isotropic\n",
      " rho,cp,cs   =    2200.0000000000000        2200.0000000000000        1343.3750000000000     \n",
      " Qkappa, Qmu =    9999.0000000000000        9999.0000000000000     \n",
      " Material is solid\n",
      " --------\n",
      "\n",
      "\n",
      " Mesh from internal meshing:\n",
      "\n",
      " Reading interface data from file: ./DATA/interfaces.dat\n",
      " Reading            2  points for interface            1\n",
      " Reading            2  points for interface            2\n",
      "\n",
      " Total number of layers in z direction =            1\n",
      " There are           80  spectral elements along Z in layer            1\n",
      "\n",
      " Total number of spectral elements along X =           80\n",
      " Total number of spectral elements along Z =           80\n",
      "\n",
      " Regions:\n",
      "   Nb of regions in the mesh =            1\n",
      "\n",
      " ------\n",
      " Region            1\n",
      " IX from            1  to           80\n",
      " IZ from            1  to           80\n",
      " Material #            1  isotropic\n",
      " Material is solid\n",
      " vp     =    3000.00000    \n",
      " vs     =    1800.00000    \n",
      " rho    =    2700.00000    \n",
      " Poisson's ratio =   0.218750000    \n",
      " QKappa =    9999.00000    \n",
      " Qmu    =    9999.00000    \n",
      " ------\n",
      "\n",
      " Parameter file successfully read \n",
      "\n",
      "\n",
      " Mesh from internal meshing:\n",
      "   Total number of spectral elements         =         6400\n",
      "\n",
      " PML mesh elements:\n",
      "   Total number of PML elements =            0\n",
      "\n",
      " The mesh contains         6400  elements\n",
      "\n",
      " Control elements have            9  nodes\n",
      "\n",
      " Reading in SOURCE file...\n",
      "\n",
      " Source           1\n",
      "   Position xs, zs =    1000.0000000000000        2000.0000000000000     \n",
      "\n",
      "   Source type (1=force, 2=moment tensor):            1\n",
      "   Force source:\n",
      "   Angle of the source (deg) =    0.0000000000000000     \n",
      "\n",
      "   Time function type (1=Ricker, 2=First derivative, 3=Gaussian, 4=Dirac, 5=Heaviside, 6,7=ocean type, 8=Read from file, 9=burst, 10=Sinusoidal, 11=Ormsby):           1\n",
      "   Ricker wavelet (second-derivative):\n",
      "   Frequency, delay =    10.000000000000000        0.0000000000000000     \n",
      "   Multiplying factor  =    10000000000.000000     \n",
      "\n",
      " all sources are okay\n",
      "\n",
      " Normals to surface not needed\n",
      "\n",
      " Node coordinates:\n",
      "\n",
      " reading node coordinates from interfaces...\n",
      "\n",
      " Mesh surfaces:\n",
      "   determining acoustic free surface...\n",
      "   number of acoustic elements with free surface =            0\n",
      "\n",
      "   determining absorbing boundary surfaces...\n",
      "   number of elements with absorbing boundaries =          320\n",
      "\n",
      "\n",
      " Mesh dimensions: \n",
      "   Min and max value of X in the grid =    0.0000000000000000        4000.0000000000000     \n",
      "   Min and max value of Z in the grid =    0.0000000000000000        4000.0000000000000     \n",
      "\n",
      " Mesh partitioning:\n",
      "   decomposing mesh using NPROC =            1\n",
      "\n",
      " Graph construction:\n",
      "   graph adjacency done\n",
      "\n",
      " Coupled interfaces:\n",
      " nedges_coupled (acoustic/elastic)     =            0\n",
      " nedges_coupled (acoustic/poroelastic) =            0\n",
      " nedges_coupled (poroelastic/elastic)  =            0\n",
      "\n",
      " Local numbering:\n",
      "   NPROC:            1\n",
      "   number of elements:         6400\n",
      "\n",
      " decompose mesh all done\n",
      "\n",
      " Absorbing boundaries:\n",
      "   nedge_bound   :          320\n",
      "   nelemabs_merge:          320\n",
      "\n",
      " Saving databases:\n",
      "   database file: ./OUTPUT_FILES/Database00000.bin\n",
      "   slice            0  has number of spectral elements =        6400\n",
      "\n",
      "   VTK mesh files:\n",
      "   written file: ./OUTPUT_FILES//mesh_materials.vtk\n",
      "   written file: ./OUTPUT_FILES//mesh_partition_number.vtk\n",
      "   done\n",
      "\n",
      "\n",
      " This will be a serial simulation\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Run the mesher\n",
    "!$specfem2d_path/xmeshfem2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ae635d50-2bba-4235-8d94-26b65447c552",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " **********************************************\n",
      " **** Specfem 2-D Solver - serial version  ****\n",
      " **********************************************\n",
      "\n",
      " Running Git version of the code corresponding to commit cf89366717d9435985ba852ef1d41a10cee97884\n",
      " dating From Date:   Mon Nov 29 23:20:51 2021 -0800\n",
      "\n",
      "\n",
      " NDIM =            2\n",
      "\n",
      " NGLLX =            5\n",
      " NGLLZ =            5\n",
      "\n",
      " using single precision for the calculations\n",
      "\n",
      " smallest and largest possible floating-point numbers are:    1.17549435E-38   3.40282347E+38\n",
      "\n",
      " Reading the parameter file...\n",
      "\n",
      " Title of the simulation: Simple Kernel\n",
      "\n",
      "\n",
      "   using existing STATIONS file: ./DATA/STATIONS\n",
      "   file name is ./DATA/STATIONS\n",
      "   found            1  receivers\n",
      "\n",
      " Parameter file successfully read \n",
      "\n",
      " Reading in SOURCE file...\n",
      "\n",
      " Source           1\n",
      "   Position xs, zs =    1000.0000000000000        2000.0000000000000     \n",
      "\n",
      "   Source type (1=force, 2=moment tensor):            1\n",
      "   Force source:\n",
      "   Angle of the source (deg) =    0.0000000000000000     \n",
      "\n",
      "   Time function type (1=Ricker, 2=First derivative, 3=Gaussian, 4=Dirac, 5=Heaviside, 6,7=ocean type, 8=Read from file, 9=burst, 10=Sinusoidal, 11=Ormsby):           1\n",
      "   Ricker wavelet (second-derivative):\n",
      "   Frequency, delay =    10.000000000000000        0.0000000000000000     \n",
      "   Multiplying factor  =    10000000000.000000     \n",
      "\n",
      " all sources are okay\n",
      "\n",
      "\n",
      "\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " Program SPECFEM2D: \n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " Simple Kernel\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " D a t e : 01 - 03 - 2022                                 T i m e  : 13:37:33\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Number of spectral element control nodes. . .(npgeo) =   25921\n",
      "     Number of space dimensions. . . . . . . . . . (NDIM) =       2\n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Display frequency . . . (NTSTEP_BETWEEN_OUTPUT_INFO) =    100\n",
      "     Color display . . . . . . . . . . . . . . . (colors) =      1\n",
      "      == 0     black and white display              \n",
      "      == 1     color display                        \n",
      "     Numbered mesh . . . . . . . . . . . . . . .(numbers) =      0\n",
      "      == 0     do not number the mesh               \n",
      "      == 1     number the mesh                      \n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Seismograms recording type . . . . . . .(seismotype) = 1\n",
      "     Angle for first line of receivers. . . . .(anglerec) =   0.00\n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Read external initial field. . . . . .(initialfield) =      F\n",
      "     Add Bielak conditions (add_Bielak_conditions_bottom) =      F\n",
      "     Add Bielak conditions .(add_Bielak_conditions_right) =      F\n",
      "     Add Bielak conditions . .(add_Bielak_conditions_top) =      F\n",
      "     Add Bielak conditions. .(add_Bielak_conditions_left) =      F\n",
      "     Attenuation in solid . . .(ATTENUATION_VISCOELASTIC) =      F\n",
      "     Attenuation in fluid . . (ATTENUATION_VISCOACOUSTIC) =      F\n",
      "     Save grid in ASCII file or not . (output_grid_ASCII) =      F\n",
      "     Save a file with total energy or not.(OUTPUT_ENERGY) =      F\n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Vector display type . . . . . . . . .(imagetype_postscript) =      1\n",
      "     Percentage of cut for vector plots. . . . . . . .(cutsnaps) =   1.00\n",
      "     Subsampling of velocity model display. (subsamp_postscript) =      1\n",
      "\n",
      "\n",
      " I t e r a t i o n s \n",
      " ===================\n",
      "\n",
      "     Number of time iterations . . . . .(NSTEP) =    1800\n",
      "     Time step increment. . . . . . . . . .(DT) =   1.000000E-03\n",
      "     Total simulation duration . . . . . (ttot) =   1.800000E+00\n",
      "\n",
      "\n",
      " reading mesh databases:\n",
      " reading nodal coordinates...\n",
      "\n",
      " -- Spectral Elements --\n",
      "\n",
      "\n",
      "     Number of spectral elements . . . . . . . . .  (nspec) =   6400\n",
      "     Number of control nodes per element . . . . . (NGNOD) =      9\n",
      "     Number of points in X-direction . . . . . . . (NGLLX) =      5\n",
      "     Number of points in Y-direction . . . . . . . (NGLLZ) =      5\n",
      "     Number of points per element. . . . . . (NGLLX*NGLLZ) =     25\n",
      "     Number of points for display . . . . . . (pointsdisp) =      6\n",
      "     Number of element material sets . . . . . . . (numat) =      4\n",
      "     Number of acoustic forcing elements (nelem_acforcing) =      0\n",
      "     Number of acoustic free surf (nelem_acoustic_surface) =      0\n",
      "\n",
      " reading attenuation setup...\n",
      " reading material properties..\n",
      "\n",
      "\n",
      " M a t e r i a l   s e t s :   2 D  (p o r o) e l a s t i c i t y\n",
      " ======================================================\n",
      "\n",
      "     Number of material sets . . . . . . (numat) =     4\n",
      "\n",
      "\n",
      "     ----------------------------------------\n",
      "     -- Elastic (solid) isotropic material --\n",
      "     ----------------------------------------\n",
      "     Material set number. . . . . . . . (jmat) =     1\n",
      "     P-wave velocity. . . . . . . . . . . (cp) = 3.00000000E+03\n",
      "     S-wave velocity. . . . . . . . . . . (cs) = 1.80000000E+03\n",
      "     Mass density. . . . . . . . . . (density) = 2.70000000E+03\n",
      "     Poisson's ratio. . . . . . . . .(poisson) = 2.18750000E-01\n",
      "     First Lame parameter Lambda. . . (lambda) = 6.80400000E+09\n",
      "     Second Lame parameter Mu. . . . . . .(mu) = 8.74800000E+09\n",
      "     Bulk modulus Kappa . . . . . . . .(kappa) = 1.55520000E+10\n",
      "     Young's modulus E. . . . . . . . .(young) = 2.21002105E+10\n",
      "     QKappa_attenuation .  . . . . . .(QKappa) = 9.99900000E+03\n",
      "     Qmu_attenuation . . . . . . . . . . (Qmu) = 9.99900000E+03\n",
      "\n",
      "\n",
      "\n",
      "     -------------------------------\n",
      "     -- Acoustic (fluid) material --\n",
      "     -------------------------------\n",
      "     Material set number. . . . . . . . (jmat) =     2\n",
      "     P-wave velocity. . . . . . . . . . . (cp) = 2.70000000E+03\n",
      "     Mass density. . . . . . . . . . (density) = 2.50000000E+03\n",
      "     Bulk modulus Kappa . . . . . . . .(kappa) = 1.82250000E+10\n",
      "     QKappa_attenuation. . . . . . . .(QKappa) = 9.99900000E+03\n",
      "     Qmu_attenuation. . . . . . . . . . .(Qmu) = 9.99900000E+03\n",
      "\n",
      "\n",
      "\n",
      "     ----------------------------------------\n",
      "     -- Elastic (solid) isotropic material --\n",
      "     ----------------------------------------\n",
      "     Material set number. . . . . . . . (jmat) =     3\n",
      "     P-wave velocity. . . . . . . . . . . (cp) = 2.50000000E+03\n",
      "     S-wave velocity. . . . . . . . . . . (cs) = 1.44337500E+03\n",
      "     Mass density. . . . . . . . . . (density) = 2.20000000E+03\n",
      "     Poisson's ratio. . . . . . . . .(poisson) = 2.50000350E-01\n",
      "     First Lame parameter Lambda. . . (lambda) = 4.58334188E+09\n",
      "     Second Lame parameter Mu. . . . . . .(mu) = 4.58332906E+09\n",
      "     Bulk modulus Kappa . . . . . . . .(kappa) = 9.16667094E+09\n",
      "     Young's modulus E. . . . . . . . .(young) = 1.17857057E+10\n",
      "     QKappa_attenuation .  . . . . . .(QKappa) = 9.99900000E+03\n",
      "     Qmu_attenuation . . . . . . . . . . (Qmu) = 9.99900000E+03\n",
      "\n",
      "\n",
      "\n",
      "     ----------------------------------------\n",
      "     -- Elastic (solid) isotropic material --\n",
      "     ----------------------------------------\n",
      "     Material set number. . . . . . . . (jmat) =     4\n",
      "     P-wave velocity. . . . . . . . . . . (cp) = 2.20000000E+03\n",
      "     S-wave velocity. . . . . . . . . . . (cs) = 1.34337500E+03\n",
      "     Mass density. . . . . . . . . . (density) = 2.20000000E+03\n",
      "     Poisson's ratio. . . . . . . . .(poisson) = 2.02726178E-01\n",
      "     First Lame parameter Lambda. . . (lambda) = 2.70751188E+09\n",
      "     Second Lame parameter Mu. . . . . . .(mu) = 3.97024406E+09\n",
      "     Bulk modulus Kappa . . . . . . . .(kappa) = 6.67775594E+09\n",
      "     Young's modulus E. . . . . . . . .(young) = 9.94066572E+09\n",
      "     QKappa_attenuation .  . . . . . .(QKappa) = 9.99900000E+03\n",
      "     Qmu_attenuation . . . . . . . . . . (Qmu) = 9.99900000E+03\n",
      "\n",
      " reading interfaces informations...\n",
      "   number of interfaces         =            0\n",
      "\n",
      " reading absorbing boundary...\n",
      "   Total number of absorbing elements =          320\n",
      "\n",
      "   any absorbing boundary flag        =  T\n",
      "   PML boundary flag                  =  F\n",
      "   Stacey boundary flag               =  T\n",
      "\n",
      "\n",
      " Absorbing boundaries:\n",
      "   using Stacey absorbing boundary conditions\n",
      "\n",
      "   Total number of absorbing elements:          320\n",
      "     nspec_left   =           80\n",
      "     nspec_right  =           80\n",
      "     nspec_bottom =           80\n",
      "     nspec_top    =           80\n",
      "\n",
      "\n",
      " reading acoustic forcing...\n",
      "   acoustic forcing                             =  F\n",
      "   number of acoustic forcing boundary elements =            0\n",
      "\n",
      " reading free surface information...\n",
      "   number of acoustic free surface boundary elements =            0\n",
      " reading coupling surfaces...\n",
      "   number of fluid-solid edges  =            0\n",
      "   number of fluid-poro  edges  =            0\n",
      "   number of solid-poro  edges  =            0\n",
      "\n",
      " reading tangential curves...\n",
      "   number of tangential curve nodes =            0\n",
      "\n",
      " reading axial elements...\n",
      "   number of axial elements     =            0\n",
      "\n",
      " done reading mesh databases\n",
      "\n",
      "\n",
      " Setting up mesh\n",
      "\n",
      " Generating global mesh numbering (fast version)...\n",
      "\n",
      " Mesh numbering:\n",
      "   Total number of elements:         6400\n",
      "\n",
      "   Total number of acoustic elements           =            0\n",
      "   Total number of elastic/visco/poro elements =         6400\n",
      "\n",
      " Exact total number of grid points in the mesh:       103041\n",
      " Mesh dimensions:\n",
      "   Xmin,Xmax of the whole mesh =    0.0000000000000000        4000.0000000000005     \n",
      "   Zmin,Zmax of the whole mesh =    0.0000000000000000        4000.0000000000005     \n",
      "\n",
      " Material properties:\n",
      "   MODEL                 : default\n",
      "   nspec                 :         6400\n",
      "   assign external model :  F\n",
      "\n",
      "   setting up material arrays\n",
      "   all material arrays done\n",
      "\n",
      " Domains:\n",
      "   total number of acoustic elements        =            0\n",
      "   total number of elastic elements         =         6400\n",
      "   total number of poroelastic elements     =            0\n",
      "\n",
      " Setting up MPI communication arrays\n",
      "\n",
      "   maximum number of MPI interfaces (for a single slice) =            0\n",
      "\n",
      "   This is a single process simulation, no need for MPI communication\n",
      "\n",
      "   number of outer elements  =            0\n",
      "   number of inner elements  =         6400\n",
      "\n",
      "   percentage of outer elements    0.00000000     %\n",
      "   percentage of inner elements    100.000000     %\n",
      "\n",
      "   number of global nodes in outer elements  =            0\n",
      "   number of global nodes in inner elements  =       103041\n",
      "\n",
      "   determining communication phases:\n",
      "   elastic domains:\n",
      "   total number of outer/inner elements =            0        6400\n",
      "   total percentage of outer elements    0.00000000     %\n",
      "   total percentage of inner elements    100.000000     %\n",
      "\n",
      " All mesh setup done successfully\n",
      "\n",
      " sources:\n",
      "   Total number of sources:            1\n",
      "\n",
      "\n",
      "   Setting parameters for source           1\n",
      "\n",
      "     Source Type. . . . . . . . . . . . . . = Collocated Force\n",
      "     X-position (meters). . . . . . . . . . =    1.0000000000E+03\n",
      "     Y-position (meters). . . . . . . . . . =    2.0000000000E+03\n",
      "     Fundamental frequency (Hz) . . . . . . =    1.0000000000E+01\n",
      "     Time delay (s) . . . . . . . . . . . . =    0.0000000000E+00\n",
      "     Multiplying factor . . . . . . . . . . =    1.0000000000E+10\n",
      "     Angle from vertical direction (deg). . =    0.0000000000E+00\n",
      "\n",
      "\n",
      "   Source:            1\n",
      "     Onset time. . . . . . =  -0.12000000000000000     \n",
      "     Fundamental period. . =   0.10000000000000001     \n",
      "     Fundamental frequency =    10.000000000000000     \n",
      "     The onset time is ok\n",
      "\n",
      " Source:            1\n",
      " *******************************\n",
      "  locating force source\n",
      " *******************************\n",
      "\n",
      " Force source:\n",
      "             original x:    1000.00000    \n",
      "             original z:    2000.00000    \n",
      " Closest estimate found:    0.00000000      m away\n",
      "  in rank            0\n",
      "  in element         3140\n",
      "  in elastic domain\n",
      "  at xi,gamma coordinates =    1.0000000000000000        1.0000000000000000     \n",
      "\n",
      "\n",
      " end of force source detection\n",
      "\n",
      "\n",
      " receivers:\n",
      "\n",
      " Total number of receivers =            1\n",
      "\n",
      "\n",
      " ********************\n",
      "  locating receivers\n",
      " ********************\n",
      "\n",
      " reading receiver information from the ./DATA/STATIONS file\n",
      "\n",
      "\n",
      " Station #            1     AA      S0001                           \n",
      "             original x:    3000.00000    \n",
      "             original z:    2000.00000    \n",
      " Closest estimate found:    0.00000000      m away\n",
      "  in rank            0\n",
      "  in element         3180\n",
      "  in elastic domain\n",
      "  at xi,gamma coordinates =    1.0000000000000000        1.0000000000000000     \n",
      " Distance from source:    2000.00000      m\n",
      "\n",
      " maximum error in location of all the receivers:    0.00000000      m\n",
      "\n",
      " end of receiver detection\n",
      "\n",
      " found a total of            1  receivers, this is okay\n",
      "\n",
      "\n",
      " Preparing timerun:\n",
      "\n",
      "\n",
      " Preparing timerun constants\n",
      "\n",
      " Preparing array allocations\n",
      "   arrays for elastic domains\n",
      "   done initialization\n",
      "\n",
      " Preparing Stacey boundaries\n",
      "   total number of absorbing boundary faces/edges:          320\n",
      "\n",
      " Attenuation:\n",
      "   viscoelastic  attenuation: F (shear & bulk attenuation in elastic domains)\n",
      "   viscoacoustic attenuation: F (bulk attenuation in acoustic domains)\n",
      "\n",
      " Preparing mass matrices\n",
      "   initializing mass matrices\n",
      "   adding Stacey contributions to mass matrix\n",
      "   inverting mass matrices\n",
      "\n",
      "\n",
      " Preparing save forward simulation:\n",
      "   estimated minimum period resolved by mesh        :    0.00000000    \n",
      "   estimated number of time steps for minimum period:            0\n",
      "   estimated steps between compute kernels (for a fair reconstruction):            0\n",
      "\n",
      "   number of steps between compute kernels:            1\n",
      "\n",
      "\n",
      " Preparing source time function\n",
      "   time stepping scheme:   Newmark\n",
      "   time stepping stages:            1\n",
      "   time step size      :    1.00000005E-03\n",
      "\n",
      "   number of time steps:         1800\n",
      "   number of sources   :            1\n",
      "\n",
      "   saving the source time function in a text file...\n",
      "\n",
      " Movie simulation:\n",
      "   color images         - JPEG image type:            2\n",
      "   number of steps between outputs       :          100\n",
      "\n",
      " Preparing image coloring: jpeg\n",
      "   allocating color image arrays\n",
      "   locating all the pixels of color images\n",
      "   total number of image pixels =       579121\n",
      "   done locating all the pixels of color images\n",
      "   coloring image background based on vp\n",
      "\n",
      " Checking mesh and stability\n",
      "\n",
      " ********\n",
      " Model: P (or PI) velocity min,max =    3000.0000000000000        3000.0000000000000     \n",
      " Model: S velocity min,max         =    1800.0000263374484        1800.0000263374484     \n",
      " Model: density min,max            =    2700.0000000000000        2700.0000000000000     \n",
      " ********\n",
      "\n",
      "\n",
      " *********************************************\n",
      " *** Verification of simulation parameters ***\n",
      " *********************************************\n",
      "\n",
      " *** Max grid size =    50.000000000000000     \n",
      " *** Min grid size =    50.000000000000000     \n",
      " *** Max/min ratio =    1.0000000000000000     \n",
      "\n",
      " *** Minimum GLL point distance  =    8.6336582323005704     \n",
      " *** Average GLL point distance  =    12.500000000000000     \n",
      "\n",
      " *** Minimum period resolved     =    3.4722221714169596E-002\n",
      " *** Maximum frequency resolved  =    28.800000421399176      Hz\n",
      "\n",
      " *** Maximum suggested time step                 =    1.4389430387167618E-003\n",
      " *** Maximum suggested (Ricker) source frequency =    11.520000168559671     \n",
      "\n",
      " *** for DT :    1.00000005E-03\n",
      " *** Max CFL stability condition of the time scheme based on P wave velocity (must be below about 0.50 or so) =   0.34747728735296002     \n",
      "\n",
      " ----\n",
      " Number of points per wavelength:\n",
      " ----\n",
      "   Source            1\n",
      "   maximum dominant source frequency =    25.000000000000000      Hz\n",
      "\n",
      "   Nb pts / lambdaP_fmax min =    9.60000038    \n",
      "   Nb pts / lambdaP_fmax max =    9.60000038    \n",
      "\n",
      "   Nb pts / lambdaS_fmax min =    5.76000023    \n",
      "   Nb pts / lambdaS_fmax max =    5.76000023    \n",
      "\n",
      " -----------------------------------------\n",
      "\n",
      " histogram of min number of points per S wavelength in solid regions:\n",
      "\n",
      " there are         6400  elements out of         6400  in solid regions\n",
      "   (i.e.,    100.000000     % of the total)\n",
      "\n",
      " (too small = poor resolution of calculations -\n",
      "  too big = wasting memory and CPU time)\n",
      " (threshold value is around 4.5 points per S wavelength\n",
      "  in elastic regions and 5.5 per P wavelength in fluid regions):\n",
      "\n",
      "   5.70240021      -    5.70815992               0     0.00000000      %\n",
      "   5.70815992      -    5.71392012               0     0.00000000      %\n",
      "   5.71392012      -    5.71968031               0     0.00000000      %\n",
      "   5.71968031      -    5.72544003               0     0.00000000      %\n",
      "   5.72544003      -    5.73120022               0     0.00000000      %\n",
      "   5.73120022      -    5.73695993               0     0.00000000      %\n",
      "   5.73695993      -    5.74272013               0     0.00000000      %\n",
      "   5.74272013      -    5.74848032               0     0.00000000      %\n",
      "   5.74848032      -    5.75424004               0     0.00000000      %\n",
      "   5.75424004      -    5.76000023               0     0.00000000      %\n",
      "   5.76000023      -    5.76575994            6400     100.000000      %\n",
      "   5.76575994      -    5.77152014               0     0.00000000      %\n",
      "   5.77152014      -    5.77727985               0     0.00000000      %\n",
      "   5.77727985      -    5.78304005               0     0.00000000      %\n",
      "   5.78304005      -    5.78880024               0     0.00000000      %\n",
      "   5.78880024      -    5.79455996               0     0.00000000      %\n",
      "   5.79455996      -    5.80032015               0     0.00000000      %\n",
      "   5.80032015      -    5.80607986               0     0.00000000      %\n",
      "   5.80607986      -    5.81184006               0     0.00000000      %\n",
      "   5.81184006      -    5.81760025               0     0.00000000      %\n",
      "\n",
      " total percentage =    100.00000000000000       %\n",
      "\n",
      "\n",
      " total number of elements in fluid and solid regions =         6400\n",
      "\n",
      "\n",
      " done, preparation successful\n",
      "\n",
      "\n",
      " =========================================\n",
      " =  T i m e  e v o l u t i o n  l o o p  =\n",
      " =========================================\n",
      "\n",
      "\n",
      " Starting time iteration loop ...\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number       5   t =    0.0040 s out of    1800\n",
      " ******************************************************************\n",
      " We have done   0.222345755     % of the total\n",
      " Max norm of vector field in solid (elastic) =    1.44197747E-05\n",
      " Elapsed time in seconds =    1.3999938964843750E-002\n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Mean elapsed time per time step in seconds =    2.7999877929687500E-003\n",
      " Time steps remaining =         1795\n",
      " Estimated remaining time in seconds =    5.0259780883789062     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Estimated total run time in seconds =    5.0399780273437500     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 05 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step            5\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.1158208255656064E-005\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     100   t =    0.0990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    5.50305748     % of the total\n",
      " Max norm of vector field in solid (elastic) =   0.168354228    \n",
      " Elapsed time in seconds =   0.35199999809265137     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Mean elapsed time per time step in seconds =    3.5199999809265138E-003\n",
      " Time steps remaining =         1700\n",
      " Estimated remaining time in seconds =    5.9839999675750732     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Estimated total run time in seconds =    6.3359999656677246     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          100\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =   0.15947259962558746     \n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     200   t =    0.1990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    11.0617008     % of the total\n",
      " Max norm of vector field in solid (elastic) =   0.107489780    \n",
      " Elapsed time in seconds =   0.68600010871887207     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Mean elapsed time per time step in seconds =    3.4300005435943604E-003\n",
      " Time steps remaining =         1600\n",
      " Estimated remaining time in seconds =    5.4880008697509766     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Estimated total run time in seconds =    6.1740009784698486     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          200\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =   0.10654041916131973     \n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     300   t =    0.2990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    16.6203442     % of the total\n",
      " Max norm of vector field in solid (elastic) =    6.81883320E-02\n",
      " Elapsed time in seconds =    1.0199999809265137     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 01 s\n",
      " Mean elapsed time per time step in seconds =    3.3999999364217122E-003\n",
      " Time steps remaining =         1500\n",
      " Estimated remaining time in seconds =    5.0999999046325684     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Estimated total run time in seconds =    6.1199998855590820     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          300\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    6.7981727421283722E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     400   t =    0.3990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    22.1789875     % of the total\n",
      " Max norm of vector field in solid (elastic) =    5.38931116E-02\n",
      " Elapsed time in seconds =    1.3659999370574951     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 01 s\n",
      " Mean elapsed time per time step in seconds =    3.4149998426437379E-003\n",
      " Time steps remaining =         1400\n",
      " Estimated remaining time in seconds =    4.7809997797012329     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 04 s\n",
      " Estimated total run time in seconds =    6.1469997167587280     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          400\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    5.3819410502910614E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     500   t =    0.4990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    27.7376328     % of the total\n",
      " Max norm of vector field in solid (elastic) =    4.59541939E-02\n",
      " Elapsed time in seconds =    1.7090001106262207     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 01 s\n",
      " Mean elapsed time per time step in seconds =    3.4180002212524413E-003\n",
      " Time steps remaining =         1300\n",
      " Estimated remaining time in seconds =    4.4434002876281733     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 04 s\n",
      " Estimated total run time in seconds =    6.1524003982543940     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          500\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    4.5886807143688202E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     600   t =    0.5990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    33.2962761     % of the total\n",
      " Max norm of vector field in solid (elastic) =    4.07252423E-02\n",
      " Elapsed time in seconds =    2.0540001392364502     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 02 s\n",
      " Mean elapsed time per time step in seconds =    3.4233335653940837E-003\n",
      " Time steps remaining =         1200\n",
      " Estimated remaining time in seconds =    4.1080002784729004     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 04 s\n",
      " Estimated total run time in seconds =    6.1620004177093506     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          600\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    4.0680974721908569E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     700   t =    0.6990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    38.8549194     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.73296924E-02\n",
      " Elapsed time in seconds =    2.4000000953674316     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 02 s\n",
      " Mean elapsed time per time step in seconds =    3.4285715648106167E-003\n",
      " Time steps remaining =         1100\n",
      " Estimated remaining time in seconds =    3.7714287212916786     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 03 s\n",
      " Estimated total run time in seconds =    6.1714288166591107     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          700\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.7301290780305862E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     800   t =    0.7990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    44.4135628     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.56918648E-02\n",
      " Elapsed time in seconds =    2.7400000095367432     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 02 s\n",
      " Mean elapsed time per time step in seconds =    3.4250000119209287E-003\n",
      " Time steps remaining =         1000\n",
      " Estimated remaining time in seconds =    3.4250000119209290     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 03 s\n",
      " Estimated total run time in seconds =    6.1650000214576721     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          800\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.5817556083202362E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     900   t =    0.8990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    49.9722061     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.44048478E-02\n",
      " Elapsed time in seconds =    3.0820000171661377     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 03 s\n",
      " Mean elapsed time per time step in seconds =    3.4244444635179306E-003\n",
      " Time steps remaining =          900\n",
      " Estimated remaining time in seconds =    3.0820000171661377     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 03 s\n",
      " Estimated total run time in seconds =    6.1640000343322754     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          900\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.4550689160823822E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1000   t =    0.9990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    55.5308495     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.34428512E-02\n",
      " Elapsed time in seconds =    3.4290001392364502     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 03 s\n",
      " Mean elapsed time per time step in seconds =    3.4290001392364503E-003\n",
      " Time steps remaining =          800\n",
      " Estimated remaining time in seconds =    2.7432001113891600     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 02 s\n",
      " Estimated total run time in seconds =    6.1722002506256102     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1000\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.3534090965986252E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1100   t =    1.0990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    61.0894928     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.23396176E-02\n",
      " Elapsed time in seconds =    3.7740001678466797     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 03 s\n",
      " Mean elapsed time per time step in seconds =    3.4309092434969815E-003\n",
      " Time steps remaining =          700\n",
      " Estimated remaining time in seconds =    2.4016364704478872     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 02 s\n",
      " Estimated total run time in seconds =    6.1756366382945664     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1100\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.2212127000093460E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1200   t =    1.1990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    66.6481400     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.10264211E-02\n",
      " Elapsed time in seconds =    4.1210000514984131     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 04 s\n",
      " Mean elapsed time per time step in seconds =    3.4341667095820110E-003\n",
      " Time steps remaining =          600\n",
      " Estimated remaining time in seconds =    2.0605000257492065     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 02 s\n",
      " Estimated total run time in seconds =    6.1815000772476196     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1200\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.1396940350532532E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1300   t =    1.2990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    72.2067795     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.07638478E-02\n",
      " Elapsed time in seconds =    4.4700000286102295     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 04 s\n",
      " Mean elapsed time per time step in seconds =    3.4384615604694073E-003\n",
      " Time steps remaining =          500\n",
      " Estimated remaining time in seconds =    1.7192307802347035     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 01 s\n",
      " Estimated total run time in seconds =    6.1892308088449326     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1300\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.0834671109914780E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1400   t =    1.3990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    77.7654266     % of the total\n",
      " Max norm of vector field in solid (elastic) =    2.56001037E-02\n",
      " Elapsed time in seconds =    4.8150000572204590     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 04 s\n",
      " Mean elapsed time per time step in seconds =    3.4392857551574707E-003\n",
      " Time steps remaining =          400\n",
      " Estimated remaining time in seconds =    1.3757143020629883     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 01 s\n",
      " Estimated total run time in seconds =    6.1907143592834473     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1400\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.5602547451853752E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1500   t =    1.4990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    83.3240662     % of the total\n",
      " Max norm of vector field in solid (elastic) =    2.50662621E-02\n",
      " Elapsed time in seconds =    5.1640000343322754     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Mean elapsed time per time step in seconds =    3.4426666895548503E-003\n",
      " Time steps remaining =          300\n",
      " Estimated remaining time in seconds =    1.0328000068664551     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 01 s\n",
      " Estimated total run time in seconds =    6.1968000411987303     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1500\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.5157673284411430E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1600   t =    1.5990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    88.8827133     % of the total\n",
      " Max norm of vector field in solid (elastic) =    2.45997328E-02\n",
      " Elapsed time in seconds =    5.5150001049041748     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Mean elapsed time per time step in seconds =    3.4468750655651092E-003\n",
      " Time steps remaining =          200\n",
      " Estimated remaining time in seconds =   0.68937501311302185     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Estimated total run time in seconds =    6.2043751180171967     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1600\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.4607732892036438E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1700   t =    1.6990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    94.4413528     % of the total\n",
      " Max norm of vector field in solid (elastic) =    2.43655741E-02\n",
      " Elapsed time in seconds =    5.8650000095367432     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Mean elapsed time per time step in seconds =    3.4500000056098489E-003\n",
      " Time steps remaining =          100\n",
      " Estimated remaining time in seconds =   0.34500000056098490     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Estimated total run time in seconds =    6.2100000100977280     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1700\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.4312924593687057E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1800   t =    1.7990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    100.000000     % of the total\n",
      " Max norm of vector field in solid (elastic) =    2.40316689E-02\n",
      " Elapsed time in seconds =    6.2130000591278076     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 06 s\n",
      " Mean elapsed time per time step in seconds =    3.4516666995154485E-003\n",
      " Time steps remaining =            0\n",
      " Estimated remaining time in seconds =    0.0000000000000000     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Estimated total run time in seconds =    6.2130000591278076     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 06 s\n",
      "\n",
      "\n",
      " Total number of time steps done:         1800\n",
      " Writing the seismograms by main proc alone took    2.43186951E-03  seconds\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1800\n",
      " drawing scalar image of the forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.3993153125047684E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " Total duration of the time loop in seconds =    6.23782635      s\n",
      " Total number of time steps =         1800\n",
      " Average duration of a time step of the time loop =    3.46545898E-03  s\n",
      " Total number of spectral elements in the mesh =         6400\n",
      "     of which         6400  are regular elements\n",
      "     and            0  are PML elements.\n",
      " Average duration of the calculation per spectral element =    5.41477959E-07  s\n",
      "\n",
      "\n",
      " Total duration of the timeloop in seconds, measured using \n",
      " date and time of the system :    6.23900032      s\n",
      "\n",
      " Saving forward arrays:\n",
      " Saving Stacey absorbing boundary contributions...\n",
      " Saving elastic last frame...\n",
      "\n",
      "\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " Program SPECFEM2D: \n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " Simple Kernel\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " D a t e : 01 - 03 - 2022                                 T i m e  : 13:37:39\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "# Run the solver\n",
    "!$specfem2d_path/xspecfem2D"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7c8eacb-f87c-4d12-a91b-1a514ad84f8a",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Plotting the seismograms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8bab7477-be5d-48bb-8975-096bdb5c8be5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "obsd = read_trace(\"./AA.S0001.BXY.obsd.semd\")\n",
    "synt = read_trace(\"./OUTPUT_FILES/AA.S0001.BXY.semd\")\n",
    "\n",
    "# Process data\n",
    "obsd.detrend(\"simple\")\n",
    "obsd.taper(0.05)\n",
    "obsd.filter(\"bandpass\", freqmin=0.01, freqmax=20, zerophase=True)\n",
    "\n",
    "synt.detrend(\"simple\")\n",
    "synt.taper(0.05)\n",
    "synt.filter(\"bandpass\", freqmin=0.01, freqmax=20, zerophase=True)\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(20, 4))\n",
    "\n",
    "# Use the beginning time value from the file.\n",
    "# by using tr.times()+tr.stats.b\n",
    "ax.plot(obsd.times()+obsd.stats.b, obsd.data, \"k\", label=\"obsd\")\n",
    "ax.plot(synt.times()+synt.stats.b, synt.data, \"r\", label=\"synt\")\n",
    "\n",
    "ax.set_xlim(obsd.stats.b, obsd.times()[-1]+obsd.stats.b)\n",
    "\n",
    "ax.legend()\n",
    "ax.set_xlabel(\"Time (s)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85b400a8-e7cf-46fc-9ac2-3258dba269b4",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Misfit Calculation and Adjoint Source"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c35ddcc-d80c-473a-8e9e-fdb76804edfa",
   "metadata": {},
   "source": [
    "For one seismogram, waveform misfit is\n",
    "\n",
    "$$ \\chi = \\frac{1}{2} \\int [d(t)-s(t)]^2 dt~, $$\n",
    "\n",
    "\n",
    "and waveform adjoint source is\n",
    "\n",
    "$$  f^\\dagger (t) = s(t) - d(t)~,$$\n",
    "\n",
    "where $s(t)$ is the synthetic, $d(t)$ is the observed seismograms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2b56e507-e2ed-441a-80a1-68ad3049d0aa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Misfit: 0.000006\n"
     ]
    }
   ],
   "source": [
    "# Misfit\n",
    "misfit = 0.5*simps((obsd.data-synt.data)**2, dx=obsd.stats.delta)\n",
    "print(f\"Misfit: {misfit:.6f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "164eddde-67e7-4ae0-9bf4-f19bd332b042",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AA.S0001..BXY | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:01.799000Z | 1000.0 Hz, 1800 samples"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Adjoint Source\n",
    "adj = synt.copy()\n",
    "adj.data = synt.data - obsd.data\n",
    "\n",
    "# Process\n",
    "adj.detrend(\"simple\")\n",
    "adj.taper(0.05)\n",
    "adj.filter(\"bandpass\", freqmin=0.01, freqmax=20, zerophase=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "27e9be30-d1b7-4d02-b013-3d7947198057",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, sharex=True, figsize=(20, 8))\n",
    "axes[0].plot(obsd.times()+obsd.stats.b, obsd.data, \"k\", label=\"obsd\")\n",
    "axes[0].plot(synt.times()+synt.stats.b, synt.data, \"r\", label=\"synt\")\n",
    "axes[0].set_xlim(obsd.stats.b, obsd.times()[-1]+obsd.stats.b)\n",
    "axes[0].legend()\n",
    "\n",
    "axes[1].plot(adj.times()+adj.stats.b, adj.data, \"g\", label=\"Adjoint Source\")\n",
    "\n",
    "axes[1].legend()\n",
    "\n",
    "axes[1].set_xlabel(\"Time (s)\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "55d7a437-9a3d-4566-966b-b59d961fa18b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save adjoint source to SEM directory\n",
    "os.makedirs(\"SEM\", exist_ok=True)\n",
    "save_trace(adj, \"SEM/AA.S0001.BXY.adj\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82870738-aada-4d03-9410-4ea09c6174c1",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Adjoint Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89f4a77a-37ce-4027-ae36-2b09ffd9964b",
   "metadata": {},
   "source": [
    "For adjoint simulation, following `DATA/Par_file` needs be set\n",
    "\n",
    "```toml\n",
    "SIMULATION_TYPE                 = 3\n",
    "# save the last frame, needed for adjoint simulation\n",
    "SAVE_FORWARD                    = .false.\n",
    "```\n",
    "\n",
    "`specfem2D_prep_adjoint` function can be used for this purpose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "405a3dd6-41c9-49d5-8dd9-703e9d1d3225",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Prepare Par_file\n",
    "specfem2D_prep_adjoint()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "5ff5de82-c7f1-42da-aec7-5aa767f60220",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " **********************************************\n",
      " **** Specfem 2-D Solver - serial version  ****\n",
      " **********************************************\n",
      "\n",
      " Running Git version of the code corresponding to commit cf89366717d9435985ba852ef1d41a10cee97884\n",
      " dating From Date:   Mon Nov 29 23:20:51 2021 -0800\n",
      "\n",
      "\n",
      " NDIM =            2\n",
      "\n",
      " NGLLX =            5\n",
      " NGLLZ =            5\n",
      "\n",
      " using single precision for the calculations\n",
      "\n",
      " smallest and largest possible floating-point numbers are:    1.17549435E-38   3.40282347E+38\n",
      "\n",
      " Reading the parameter file...\n",
      "\n",
      " Title of the simulation: Simple Kernel\n",
      "\n",
      "\n",
      "   using existing STATIONS file: ./DATA/STATIONS\n",
      "   file name is ./DATA/STATIONS\n",
      "   found            1  receivers\n",
      "\n",
      " Parameter file successfully read \n",
      "\n",
      " Reading in SOURCE file...\n",
      "\n",
      " Source           1\n",
      "   Position xs, zs =    1000.0000000000000        2000.0000000000000     \n",
      "\n",
      "   Source type (1=force, 2=moment tensor):            1\n",
      "   Force source:\n",
      "   Angle of the source (deg) =    0.0000000000000000     \n",
      "\n",
      "   Time function type (1=Ricker, 2=First derivative, 3=Gaussian, 4=Dirac, 5=Heaviside, 6,7=ocean type, 8=Read from file, 9=burst, 10=Sinusoidal, 11=Ormsby):           1\n",
      "   Ricker wavelet (second-derivative):\n",
      "   Frequency, delay =    10.000000000000000        0.0000000000000000     \n",
      "   Multiplying factor  =    10000000000.000000     \n",
      "\n",
      " all sources are okay\n",
      "\n",
      "\n",
      "\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " Program SPECFEM2D: \n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " Simple Kernel\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " D a t e : 01 - 03 - 2022                                 T i m e  : 13:37:40\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Number of spectral element control nodes. . .(npgeo) =   25921\n",
      "     Number of space dimensions. . . . . . . . . . (NDIM) =       2\n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Display frequency . . . (NTSTEP_BETWEEN_OUTPUT_INFO) =    100\n",
      "     Color display . . . . . . . . . . . . . . . (colors) =      1\n",
      "      == 0     black and white display              \n",
      "      == 1     color display                        \n",
      "     Numbered mesh . . . . . . . . . . . . . . .(numbers) =      0\n",
      "      == 0     do not number the mesh               \n",
      "      == 1     number the mesh                      \n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Seismograms recording type . . . . . . .(seismotype) = 1\n",
      "     Angle for first line of receivers. . . . .(anglerec) =   0.00\n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Read external initial field. . . . . .(initialfield) =      F\n",
      "     Add Bielak conditions (add_Bielak_conditions_bottom) =      F\n",
      "     Add Bielak conditions .(add_Bielak_conditions_right) =      F\n",
      "     Add Bielak conditions . .(add_Bielak_conditions_top) =      F\n",
      "     Add Bielak conditions. .(add_Bielak_conditions_left) =      F\n",
      "     Attenuation in solid . . .(ATTENUATION_VISCOELASTIC) =      F\n",
      "     Attenuation in fluid . . (ATTENUATION_VISCOACOUSTIC) =      F\n",
      "     Save grid in ASCII file or not . (output_grid_ASCII) =      F\n",
      "     Save a file with total energy or not.(OUTPUT_ENERGY) =      F\n",
      "\n",
      "\n",
      " C o n t r o l\n",
      " =============\n",
      "\n",
      "     Vector display type . . . . . . . . .(imagetype_postscript) =      1\n",
      "     Percentage of cut for vector plots. . . . . . . .(cutsnaps) =   1.00\n",
      "     Subsampling of velocity model display. (subsamp_postscript) =      1\n",
      "\n",
      "\n",
      " I t e r a t i o n s \n",
      " ===================\n",
      "\n",
      "     Number of time iterations . . . . .(NSTEP) =    1800\n",
      "     Time step increment. . . . . . . . . .(DT) =   1.000000E-03\n",
      "     Total simulation duration . . . . . (ttot) =   1.800000E+00\n",
      "\n",
      "\n",
      " reading mesh databases:\n",
      " reading nodal coordinates...\n",
      "\n",
      " -- Spectral Elements --\n",
      "\n",
      "\n",
      "     Number of spectral elements . . . . . . . . .  (nspec) =   6400\n",
      "     Number of control nodes per element . . . . . (NGNOD) =      9\n",
      "     Number of points in X-direction . . . . . . . (NGLLX) =      5\n",
      "     Number of points in Y-direction . . . . . . . (NGLLZ) =      5\n",
      "     Number of points per element. . . . . . (NGLLX*NGLLZ) =     25\n",
      "     Number of points for display . . . . . . (pointsdisp) =      6\n",
      "     Number of element material sets . . . . . . . (numat) =      4\n",
      "     Number of acoustic forcing elements (nelem_acforcing) =      0\n",
      "     Number of acoustic free surf (nelem_acoustic_surface) =      0\n",
      "\n",
      " reading attenuation setup...\n",
      " reading material properties..\n",
      "\n",
      "\n",
      " M a t e r i a l   s e t s :   2 D  (p o r o) e l a s t i c i t y\n",
      " ======================================================\n",
      "\n",
      "     Number of material sets . . . . . . (numat) =     4\n",
      "\n",
      "\n",
      "     ----------------------------------------\n",
      "     -- Elastic (solid) isotropic material --\n",
      "     ----------------------------------------\n",
      "     Material set number. . . . . . . . (jmat) =     1\n",
      "     P-wave velocity. . . . . . . . . . . (cp) = 3.00000000E+03\n",
      "     S-wave velocity. . . . . . . . . . . (cs) = 1.80000000E+03\n",
      "     Mass density. . . . . . . . . . (density) = 2.70000000E+03\n",
      "     Poisson's ratio. . . . . . . . .(poisson) = 2.18750000E-01\n",
      "     First Lame parameter Lambda. . . (lambda) = 6.80400000E+09\n",
      "     Second Lame parameter Mu. . . . . . .(mu) = 8.74800000E+09\n",
      "     Bulk modulus Kappa . . . . . . . .(kappa) = 1.55520000E+10\n",
      "     Young's modulus E. . . . . . . . .(young) = 2.21002105E+10\n",
      "     QKappa_attenuation .  . . . . . .(QKappa) = 9.99900000E+03\n",
      "     Qmu_attenuation . . . . . . . . . . (Qmu) = 9.99900000E+03\n",
      "\n",
      "\n",
      "\n",
      "     -------------------------------\n",
      "     -- Acoustic (fluid) material --\n",
      "     -------------------------------\n",
      "     Material set number. . . . . . . . (jmat) =     2\n",
      "     P-wave velocity. . . . . . . . . . . (cp) = 2.70000000E+03\n",
      "     Mass density. . . . . . . . . . (density) = 2.50000000E+03\n",
      "     Bulk modulus Kappa . . . . . . . .(kappa) = 1.82250000E+10\n",
      "     QKappa_attenuation. . . . . . . .(QKappa) = 9.99900000E+03\n",
      "     Qmu_attenuation. . . . . . . . . . .(Qmu) = 9.99900000E+03\n",
      "\n",
      "\n",
      "\n",
      "     ----------------------------------------\n",
      "     -- Elastic (solid) isotropic material --\n",
      "     ----------------------------------------\n",
      "     Material set number. . . . . . . . (jmat) =     3\n",
      "     P-wave velocity. . . . . . . . . . . (cp) = 2.50000000E+03\n",
      "     S-wave velocity. . . . . . . . . . . (cs) = 1.44337500E+03\n",
      "     Mass density. . . . . . . . . . (density) = 2.20000000E+03\n",
      "     Poisson's ratio. . . . . . . . .(poisson) = 2.50000350E-01\n",
      "     First Lame parameter Lambda. . . (lambda) = 4.58334188E+09\n",
      "     Second Lame parameter Mu. . . . . . .(mu) = 4.58332906E+09\n",
      "     Bulk modulus Kappa . . . . . . . .(kappa) = 9.16667094E+09\n",
      "     Young's modulus E. . . . . . . . .(young) = 1.17857057E+10\n",
      "     QKappa_attenuation .  . . . . . .(QKappa) = 9.99900000E+03\n",
      "     Qmu_attenuation . . . . . . . . . . (Qmu) = 9.99900000E+03\n",
      "\n",
      "\n",
      "\n",
      "     ----------------------------------------\n",
      "     -- Elastic (solid) isotropic material --\n",
      "     ----------------------------------------\n",
      "     Material set number. . . . . . . . (jmat) =     4\n",
      "     P-wave velocity. . . . . . . . . . . (cp) = 2.20000000E+03\n",
      "     S-wave velocity. . . . . . . . . . . (cs) = 1.34337500E+03\n",
      "     Mass density. . . . . . . . . . (density) = 2.20000000E+03\n",
      "     Poisson's ratio. . . . . . . . .(poisson) = 2.02726178E-01\n",
      "     First Lame parameter Lambda. . . (lambda) = 2.70751188E+09\n",
      "     Second Lame parameter Mu. . . . . . .(mu) = 3.97024406E+09\n",
      "     Bulk modulus Kappa . . . . . . . .(kappa) = 6.67775594E+09\n",
      "     Young's modulus E. . . . . . . . .(young) = 9.94066572E+09\n",
      "     QKappa_attenuation .  . . . . . .(QKappa) = 9.99900000E+03\n",
      "     Qmu_attenuation . . . . . . . . . . (Qmu) = 9.99900000E+03\n",
      "\n",
      " reading interfaces informations...\n",
      "   number of interfaces         =            0\n",
      "\n",
      " reading absorbing boundary...\n",
      "   Total number of absorbing elements =          320\n",
      "\n",
      "   any absorbing boundary flag        =  T\n",
      "   PML boundary flag                  =  F\n",
      "   Stacey boundary flag               =  T\n",
      "\n",
      "\n",
      " Absorbing boundaries:\n",
      "   using Stacey absorbing boundary conditions\n",
      "\n",
      "   Total number of absorbing elements:          320\n",
      "     nspec_left   =           80\n",
      "     nspec_right  =           80\n",
      "     nspec_bottom =           80\n",
      "     nspec_top    =           80\n",
      "\n",
      "\n",
      " reading acoustic forcing...\n",
      "   acoustic forcing                             =  F\n",
      "   number of acoustic forcing boundary elements =            0\n",
      "\n",
      " reading free surface information...\n",
      "   number of acoustic free surface boundary elements =            0\n",
      " reading coupling surfaces...\n",
      "   number of fluid-solid edges  =            0\n",
      "   number of fluid-poro  edges  =            0\n",
      "   number of solid-poro  edges  =            0\n",
      "\n",
      " reading tangential curves...\n",
      "   number of tangential curve nodes =            0\n",
      "\n",
      " reading axial elements...\n",
      "   number of axial elements     =            0\n",
      "\n",
      " done reading mesh databases\n",
      "\n",
      "\n",
      " Setting up mesh\n",
      "\n",
      " Generating global mesh numbering (fast version)...\n",
      "\n",
      " Mesh numbering:\n",
      "   Total number of elements:         6400\n",
      "\n",
      "   Total number of acoustic elements           =            0\n",
      "   Total number of elastic/visco/poro elements =         6400\n",
      "\n",
      " Exact total number of grid points in the mesh:       103041\n",
      " Mesh dimensions:\n",
      "   Xmin,Xmax of the whole mesh =    0.0000000000000000        4000.0000000000005     \n",
      "   Zmin,Zmax of the whole mesh =    0.0000000000000000        4000.0000000000005     \n",
      "\n",
      " Material properties:\n",
      "   MODEL                 : default\n",
      "   nspec                 :         6400\n",
      "   assign external model :  F\n",
      "\n",
      "   setting up material arrays\n",
      "   all material arrays done\n",
      "\n",
      " Domains:\n",
      "   total number of acoustic elements        =            0\n",
      "   total number of elastic elements         =         6400\n",
      "   total number of poroelastic elements     =            0\n",
      "\n",
      " Setting up MPI communication arrays\n",
      "\n",
      "   maximum number of MPI interfaces (for a single slice) =            0\n",
      "\n",
      "   This is a single process simulation, no need for MPI communication\n",
      "\n",
      "   number of outer elements  =            0\n",
      "   number of inner elements  =         6400\n",
      "\n",
      "   percentage of outer elements    0.00000000     %\n",
      "   percentage of inner elements    100.000000     %\n",
      "\n",
      "   number of global nodes in outer elements  =            0\n",
      "   number of global nodes in inner elements  =       103041\n",
      "\n",
      "   determining communication phases:\n",
      "   elastic domains:\n",
      "   total number of outer/inner elements =            0        6400\n",
      "   total percentage of outer elements    0.00000000     %\n",
      "   total percentage of inner elements    100.000000     %\n",
      "\n",
      " All mesh setup done successfully\n",
      "\n",
      " sources:\n",
      "   Total number of sources:            1\n",
      "\n",
      "\n",
      "   Setting parameters for source           1\n",
      "\n",
      "     Source Type. . . . . . . . . . . . . . = Collocated Force\n",
      "     X-position (meters). . . . . . . . . . =    1.0000000000E+03\n",
      "     Y-position (meters). . . . . . . . . . =    2.0000000000E+03\n",
      "     Fundamental frequency (Hz) . . . . . . =    1.0000000000E+01\n",
      "     Time delay (s) . . . . . . . . . . . . =    0.0000000000E+00\n",
      "     Multiplying factor . . . . . . . . . . =    1.0000000000E+10\n",
      "     Angle from vertical direction (deg). . =    0.0000000000E+00\n",
      "\n",
      "\n",
      "   Source:            1\n",
      "     Onset time. . . . . . =  -0.12000000000000000     \n",
      "     Fundamental period. . =   0.10000000000000001     \n",
      "     Fundamental frequency =    10.000000000000000     \n",
      "     The onset time is ok\n",
      "\n",
      " Source:            1\n",
      " *******************************\n",
      "  locating force source\n",
      " *******************************\n",
      "\n",
      " Force source:\n",
      "             original x:    1000.00000    \n",
      "             original z:    2000.00000    \n",
      " Closest estimate found:    0.00000000      m away\n",
      "  in rank            0\n",
      "  in element         3140\n",
      "  in elastic domain\n",
      "  at xi,gamma coordinates =    1.0000000000000000        1.0000000000000000     \n",
      "\n",
      "\n",
      " end of force source detection\n",
      "\n",
      "\n",
      " receivers:\n",
      "\n",
      " Total number of receivers =            1\n",
      "\n",
      "\n",
      " ********************\n",
      "  locating receivers\n",
      " ********************\n",
      "\n",
      " reading receiver information from the ./DATA/STATIONS file\n",
      "\n",
      "\n",
      " Station #            1     AA      S0001                           \n",
      "             original x:    3000.00000    \n",
      "             original z:    2000.00000    \n",
      " Closest estimate found:    0.00000000      m away\n",
      "  in rank            0\n",
      "  in element         3180\n",
      "  in elastic domain\n",
      "  at xi,gamma coordinates =    1.0000000000000000        1.0000000000000000     \n",
      " Distance from source:    2000.00000      m\n",
      "\n",
      " maximum error in location of all the receivers:    0.00000000      m\n",
      "\n",
      " end of receiver detection\n",
      "\n",
      " found a total of            1  receivers, this is okay\n",
      "\n",
      "\n",
      " adjoint sources:\n",
      "   adjoint source type:           1\n",
      "   reading ASCII adjoint source files\n",
      "   number of adjoint sources =            1\n",
      "   adjoint sources min/max   =   -1.67091340E-02   1.48483329E-02\n",
      "\n",
      " Preparing timerun:\n",
      "\n",
      "\n",
      " Preparing timerun constants\n",
      "\n",
      " Preparing array allocations\n",
      "   arrays for elastic domains\n",
      "   done initialization\n",
      "\n",
      " Preparing Stacey boundaries\n",
      "   total number of absorbing boundary faces/edges:          320\n",
      "\n",
      " Attenuation:\n",
      "   viscoelastic  attenuation: F (shear & bulk attenuation in elastic domains)\n",
      "   viscoacoustic attenuation: F (bulk attenuation in acoustic domains)\n",
      "\n",
      " Preparing mass matrices\n",
      "   initializing mass matrices\n",
      "   adding Stacey contributions to mass matrix\n",
      "   inverting mass matrices\n",
      "\n",
      "\n",
      " Preparing kernel simulation:\n",
      "   estimated minimum period resolved by mesh        :    0.00000000    \n",
      "   estimated number of time steps for minimum period:            0\n",
      "   estimated steps between compute kernels (for a fair reconstruction):            0\n",
      "\n",
      "   number of steps between compute kernels:            1\n",
      "\n",
      " Preparing adjoint simulation\n",
      "   initializing adjoint sensitivity kernels\n",
      "   reading Stacey boundary arrays\n",
      "\n",
      " Preparing source time function\n",
      "   time stepping scheme:   Newmark\n",
      "   time stepping stages:            1\n",
      "   time step size      :    1.00000005E-03\n",
      "\n",
      "   number of time steps:         1800\n",
      "   number of sources   :            1\n",
      "\n",
      "   saving the source time function in a text file...\n",
      "\n",
      " Movie simulation:\n",
      "   color images         - JPEG image type:            2\n",
      "   number of steps between outputs       :          100\n",
      "\n",
      " Preparing image coloring: jpeg\n",
      "   allocating color image arrays\n",
      "   locating all the pixels of color images\n",
      "   total number of image pixels =       579121\n",
      "   done locating all the pixels of color images\n",
      "   coloring image background based on vp\n",
      "\n",
      " Checking mesh and stability\n",
      "\n",
      " ********\n",
      " Model: P (or PI) velocity min,max =    3000.0000000000000        3000.0000000000000     \n",
      " Model: S velocity min,max         =    1800.0000263374484        1800.0000263374484     \n",
      " Model: density min,max            =    2700.0000000000000        2700.0000000000000     \n",
      " ********\n",
      "\n",
      "\n",
      " *********************************************\n",
      " *** Verification of simulation parameters ***\n",
      " *********************************************\n",
      "\n",
      " *** Max grid size =    50.000000000000000     \n",
      " *** Min grid size =    50.000000000000000     \n",
      " *** Max/min ratio =    1.0000000000000000     \n",
      "\n",
      " *** Minimum GLL point distance  =    8.6336582323005704     \n",
      " *** Average GLL point distance  =    12.500000000000000     \n",
      "\n",
      " *** Minimum period resolved     =    3.4722221714169596E-002\n",
      " *** Maximum frequency resolved  =    28.800000421399176      Hz\n",
      "\n",
      " *** Maximum suggested time step                 =    1.4389430387167618E-003\n",
      " *** Maximum suggested (Ricker) source frequency =    11.520000168559671     \n",
      "\n",
      " *** for DT :    1.00000005E-03\n",
      " *** Max CFL stability condition of the time scheme based on P wave velocity (must be below about 0.50 or so) =   0.34747728735296002     \n",
      "\n",
      " ----\n",
      " Number of points per wavelength:\n",
      " ----\n",
      "   Source            1\n",
      "   maximum dominant source frequency =    25.000000000000000      Hz\n",
      "\n",
      "   Nb pts / lambdaP_fmax min =    9.60000038    \n",
      "   Nb pts / lambdaP_fmax max =    9.60000038    \n",
      "\n",
      "   Nb pts / lambdaS_fmax min =    5.76000023    \n",
      "   Nb pts / lambdaS_fmax max =    5.76000023    \n",
      "\n",
      " -----------------------------------------\n",
      "\n",
      " histogram of min number of points per S wavelength in solid regions:\n",
      "\n",
      " there are         6400  elements out of         6400  in solid regions\n",
      "   (i.e.,    100.000000     % of the total)\n",
      "\n",
      " (too small = poor resolution of calculations -\n",
      "  too big = wasting memory and CPU time)\n",
      " (threshold value is around 4.5 points per S wavelength\n",
      "  in elastic regions and 5.5 per P wavelength in fluid regions):\n",
      "\n",
      "   5.70240021      -    5.70815992               0     0.00000000      %\n",
      "   5.70815992      -    5.71392012               0     0.00000000      %\n",
      "   5.71392012      -    5.71968031               0     0.00000000      %\n",
      "   5.71968031      -    5.72544003               0     0.00000000      %\n",
      "   5.72544003      -    5.73120022               0     0.00000000      %\n",
      "   5.73120022      -    5.73695993               0     0.00000000      %\n",
      "   5.73695993      -    5.74272013               0     0.00000000      %\n",
      "   5.74272013      -    5.74848032               0     0.00000000      %\n",
      "   5.74848032      -    5.75424004               0     0.00000000      %\n",
      "   5.75424004      -    5.76000023               0     0.00000000      %\n",
      "   5.76000023      -    5.76575994            6400     100.000000      %\n",
      "   5.76575994      -    5.77152014               0     0.00000000      %\n",
      "   5.77152014      -    5.77727985               0     0.00000000      %\n",
      "   5.77727985      -    5.78304005               0     0.00000000      %\n",
      "   5.78304005      -    5.78880024               0     0.00000000      %\n",
      "   5.78880024      -    5.79455996               0     0.00000000      %\n",
      "   5.79455996      -    5.80032015               0     0.00000000      %\n",
      "   5.80032015      -    5.80607986               0     0.00000000      %\n",
      "   5.80607986      -    5.81184006               0     0.00000000      %\n",
      "   5.81184006      -    5.81760025               0     0.00000000      %\n",
      "\n",
      " total percentage =    100.00000000000000       %\n",
      "\n",
      "\n",
      " total number of elements in fluid and solid regions =         6400\n",
      "\n",
      "\n",
      " done, preparation successful\n",
      "\n",
      "\n",
      " =========================================\n",
      " =  T i m e  e v o l u t i o n  l o o p  =\n",
      " =========================================\n",
      "\n",
      "\n",
      " Starting time iteration loop ...\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number       5   t =    0.0040 s out of    1800\n",
      " ******************************************************************\n",
      " We have done   0.222345755     % of the total\n",
      " Max norm of vector field in solid (elastic) =    0.00000000    \n",
      " Max norm of backward vector field in solid (elastic) =    2.37567239E-02\n",
      " Elapsed time in seconds =    4.2999982833862305E-002\n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Mean elapsed time per time step in seconds =    8.5999965667724609E-003\n",
      " Time steps remaining =         1795\n",
      " Estimated remaining time in seconds =    15.436993837356567     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 15 s\n",
      " Estimated total run time in seconds =    15.479993820190430     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 15 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step            5\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    8.8960961359302392E-020\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step            5\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.3805322125554085E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     100   t =    0.0990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    5.50305748     % of the total\n",
      " Max norm of vector field in solid (elastic) =    1.25768257E-15\n",
      " Max norm of backward vector field in solid (elastic) =    2.43541803E-02\n",
      " Elapsed time in seconds =    1.0030000209808350     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 01 s\n",
      " Mean elapsed time per time step in seconds =    1.0030000209808350E-002\n",
      " Time steps remaining =         1700\n",
      " Estimated remaining time in seconds =    17.051000356674194     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 17 s\n",
      " Estimated total run time in seconds =    18.054000377655029     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 18 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          100\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    1.2231605744605326E-015\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          100\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.4273991584777832E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     200   t =    0.1990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    11.0617008     % of the total\n",
      " Max norm of vector field in solid (elastic) =    2.73425200E-15\n",
      " Max norm of backward vector field in solid (elastic) =    2.47759447E-02\n",
      " Elapsed time in seconds =    2.0049998760223389     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 02 s\n",
      " Mean elapsed time per time step in seconds =    1.0024999380111694E-002\n",
      " Time steps remaining =         1600\n",
      " Estimated remaining time in seconds =    16.039999008178711     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 16 s\n",
      " Estimated total run time in seconds =    18.044998884201050     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 18 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          200\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    2.6918635065941148E-015\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          200\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.4753289297223091E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     300   t =    0.2990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    16.6203442     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.66133676E-15\n",
      " Max norm of backward vector field in solid (elastic) =    2.50421707E-02\n",
      " Elapsed time in seconds =    3.0030000209808350     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 03 s\n",
      " Mean elapsed time per time step in seconds =    1.0010000069936116E-002\n",
      " Time steps remaining =         1500\n",
      " Estimated remaining time in seconds =    15.015000104904173     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 15 s\n",
      " Estimated total run time in seconds =    18.018000125885010     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 18 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          300\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    3.6969129912575466E-015\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          300\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.5160394608974457E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     400   t =    0.3990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    22.1789875     % of the total\n",
      " Max norm of vector field in solid (elastic) =    5.53241052E-15\n",
      " Max norm of backward vector field in solid (elastic) =    2.55060885E-02\n",
      " Elapsed time in seconds =    4.0369999408721924     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 04 s\n",
      " Mean elapsed time per time step in seconds =    1.0092499852180480E-002\n",
      " Time steps remaining =         1400\n",
      " Estimated remaining time in seconds =    14.129499793052672     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 14 s\n",
      " Estimated total run time in seconds =    18.166499733924866     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 18 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          400\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    5.3220265922113846E-015\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          400\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    2.5550236925482750E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     500   t =    0.4990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    27.7376328     % of the total\n",
      " Max norm of vector field in solid (elastic) =    2.97703268E-13\n",
      " Max norm of backward vector field in solid (elastic) =    3.05153430E-02\n",
      " Elapsed time in seconds =    5.0269999504089355     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Mean elapsed time per time step in seconds =    1.0053999900817871E-002\n",
      " Time steps remaining =         1300\n",
      " Estimated remaining time in seconds =    13.070199871063233     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 13 s\n",
      " Estimated total run time in seconds =    18.097199821472167     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 18 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          500\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    2.9377135489852546E-013\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          500\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.0748361721634865E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     600   t =    0.5990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    33.2962761     % of the total\n",
      " Max norm of vector field in solid (elastic) =    3.86592722E-13\n",
      " Max norm of backward vector field in solid (elastic) =    3.16712260E-02\n",
      " Elapsed time in seconds =    6.0189998149871826     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 06 s\n",
      " Mean elapsed time per time step in seconds =    1.0031666358311970E-002\n",
      " Time steps remaining =         1200\n",
      " Estimated remaining time in seconds =    12.037999629974363     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 12 s\n",
      " Estimated total run time in seconds =    18.056999444961548     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 18 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          600\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    3.6616231422793855E-013\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          600\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.1612008810043335E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     700   t =    0.6990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    38.8549194     % of the total\n",
      " Max norm of vector field in solid (elastic) =    1.22014378E-13\n",
      " Max norm of backward vector field in solid (elastic) =    3.23092341E-02\n",
      " Elapsed time in seconds =    7.0079998970031738     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 07 s\n",
      " Mean elapsed time per time step in seconds =    1.0011428424290248E-002\n",
      " Time steps remaining =         1100\n",
      " Estimated remaining time in seconds =    11.012571266719274     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 11 s\n",
      " Estimated total run time in seconds =    18.020571163722447     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 18 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          700\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    1.2161564886658399E-013\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          700\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.2204221934080124E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     800   t =    0.7990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    44.4135628     % of the total\n",
      " Max norm of vector field in solid (elastic) =    9.54732306E-14\n",
      " Max norm of backward vector field in solid (elastic) =    3.32178399E-02\n",
      " Elapsed time in seconds =    7.9800000190734863     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 07 s\n",
      " Mean elapsed time per time step in seconds =    9.9750000238418585E-003\n",
      " Time steps remaining =         1000\n",
      " Estimated remaining time in seconds =    9.9750000238418579     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 09 s\n",
      " Estimated total run time in seconds =    17.955000042915344     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          800\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    9.5288292772770233E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          800\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.3458281308412552E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number     900   t =    0.8990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    49.9722061     % of the total\n",
      " Max norm of vector field in solid (elastic) =    8.10772280E-14\n",
      " Max norm of backward vector field in solid (elastic) =    3.43308449E-02\n",
      " Elapsed time in seconds =    8.9699997901916504     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 08 s\n",
      " Mean elapsed time per time step in seconds =    9.9666664335462778E-003\n",
      " Time steps remaining =          900\n",
      " Estimated remaining time in seconds =    8.9699997901916504     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 08 s\n",
      " Estimated total run time in seconds =    17.939999580383301     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step          900\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    8.0959253244503732E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step          900\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.4526754170656204E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1000   t =    0.9990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    55.5308495     % of the total\n",
      " Max norm of vector field in solid (elastic) =    7.16796007E-14\n",
      " Max norm of backward vector field in solid (elastic) =    3.56365070E-02\n",
      " Elapsed time in seconds =    9.9579999446868896     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 09 s\n",
      " Mean elapsed time per time step in seconds =    9.9579999446868898E-003\n",
      " Time steps remaining =          800\n",
      " Estimated remaining time in seconds =    7.9663999557495115     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 07 s\n",
      " Estimated total run time in seconds =    17.924399900436402     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1000\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    7.1616676347932562E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1000\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.5813596099615097E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1100   t =    1.0990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    61.0894928     % of the total\n",
      " Max norm of vector field in solid (elastic) =    6.51516127E-14\n",
      " Max norm of backward vector field in solid (elastic) =    3.72933932E-02\n",
      " Elapsed time in seconds =    10.948999881744385     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 10 s\n",
      " Mean elapsed time per time step in seconds =    9.9536362561312586E-003\n",
      " Time steps remaining =          700\n",
      " Estimated remaining time in seconds =    6.9675453792918809     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 06 s\n",
      " Estimated total run time in seconds =    17.916545261036266     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1100\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    6.5006607410413031E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1100\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    3.7235602736473083E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1200   t =    1.1990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    66.6481400     % of the total\n",
      " Max norm of vector field in solid (elastic) =    6.10883753E-14\n",
      " Max norm of backward vector field in solid (elastic) =    4.05948423E-02\n",
      " Elapsed time in seconds =    11.944999933242798     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 11 s\n",
      " Mean elapsed time per time step in seconds =    9.9541666110356652E-003\n",
      " Time steps remaining =          600\n",
      " Estimated remaining time in seconds =    5.9724999666213989     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 05 s\n",
      " Estimated total run time in seconds =    17.917499899864197     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1200\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    6.0871982096848826E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1200\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    4.0626823902130127E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1300   t =    1.2990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    72.2067795     % of the total\n",
      " Max norm of vector field in solid (elastic) =    5.78800788E-14\n",
      " Max norm of backward vector field in solid (elastic) =    4.57620583E-02\n",
      " Elapsed time in seconds =    12.934000015258789     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 12 s\n",
      " Mean elapsed time per time step in seconds =    9.9492307809682986E-003\n",
      " Time steps remaining =          500\n",
      " Estimated remaining time in seconds =    4.9746153904841490     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 04 s\n",
      " Estimated total run time in seconds =    17.908615405742939     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1300\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    5.7687104333854766E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1300\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    4.5823119580745697E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1400   t =    1.3990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    77.7654266     % of the total\n",
      " Max norm of vector field in solid (elastic) =    5.47185588E-14\n",
      " Max norm of backward vector field in solid (elastic) =    5.36175892E-02\n",
      " Elapsed time in seconds =    13.924000024795532     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 13 s\n",
      " Mean elapsed time per time step in seconds =    9.9457143034253799E-003\n",
      " Time steps remaining =          400\n",
      " Estimated remaining time in seconds =    3.9782857213701521     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 03 s\n",
      " Estimated total run time in seconds =    17.902285746165685     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1400\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    5.5100631631173347E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1400\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    5.3718823939561844E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1500   t =    1.4990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    83.3240662     % of the total\n",
      " Max norm of vector field in solid (elastic) =    5.31369247E-14\n",
      " Max norm of backward vector field in solid (elastic) =    6.75605834E-02\n",
      " Elapsed time in seconds =    14.922999858856201     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 14 s\n",
      " Mean elapsed time per time step in seconds =    9.9486665725708016E-003\n",
      " Time steps remaining =          300\n",
      " Estimated remaining time in seconds =    2.9845999717712406     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 02 s\n",
      " Estimated total run time in seconds =    17.907599830627440     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1500\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    5.2903001261390276E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1500\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    6.7778430879116058E-002\n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1600   t =    1.5990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    88.8827133     % of the total\n",
      " Max norm of vector field in solid (elastic) =    5.25040149E-14\n",
      " Max norm of backward vector field in solid (elastic) =   0.105296098    \n",
      " Elapsed time in seconds =    15.904999971389771     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 15 s\n",
      " Mean elapsed time per time step in seconds =    9.9406249821186073E-003\n",
      " Time steps remaining =          200\n",
      " Estimated remaining time in seconds =    1.9881249964237215     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 01 s\n",
      " Estimated total run time in seconds =    17.893124967813492     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1600\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    5.2721305917940650E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1600\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =   0.10594611614942551     \n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1700   t =    1.6990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    94.4413528     % of the total\n",
      " Max norm of vector field in solid (elastic) =    5.13601104E-14\n",
      " Max norm of backward vector field in solid (elastic) =   0.145342857    \n",
      " Elapsed time in seconds =    16.889999866485596     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 16 s\n",
      " Mean elapsed time per time step in seconds =    9.9352940391091733E-003\n",
      " Time steps remaining =          100\n",
      " Estimated remaining time in seconds =   0.99352940391091737     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Estimated total run time in seconds =    17.883529270396512     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      " The run will finish approximately on: Tue Mar 01, 2022 13:38\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1700\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    5.0617740251016063E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1700\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =   0.15208636224269867     \n",
      " Color image created\n",
      "\n",
      "\n",
      " ******************************************************************\n",
      "Time step number    1800   t =    1.7990 s out of    1800\n",
      " ******************************************************************\n",
      " We have done    100.000000     % of the total\n",
      " Max norm of vector field in solid (elastic) =    4.87589163E-14\n",
      " Max norm of backward vector field in solid (elastic) =    2.60625302E-06\n",
      " Elapsed time in seconds =    17.869999885559082     \n",
      " Elapsed time in hh:mm:ss =      0 h 00 m 17 s\n",
      " Mean elapsed time per time step in seconds =    9.9277777141994900E-003\n",
      " Time steps remaining =            0\n",
      " Estimated remaining time in seconds =    0.0000000000000000     \n",
      " Estimated remaining time in hh:mm:ss =      0 h 00 m 00 s\n",
      " Estimated total run time in seconds =    17.869999885559082     \n",
      " Estimated total run time in hh:mm:ss =      0 h 00 m 17 s\n",
      "\n",
      "\n",
      " Total number of time steps done:         1800\n",
      " Writing the seismograms by main proc alone took    2.47955322E-03  seconds\n",
      "\n",
      " Creating color image of size          762  x          800  for time step         1800\n",
      " drawing scalar image of the adjoint wavefield displacement...\n",
      " Color image maximum amplitude =    4.8658725838738107E-014\n",
      " Color image created\n",
      " Creating color image of size          762  x          800  for time step         1800\n",
      " drawing scalar image of the reconstructed forward wavefield displacement...\n",
      " Color image maximum amplitude =    1.6081192200090300E-007\n",
      " Color image created\n",
      "\n",
      "\n",
      " Total duration of the time loop in seconds =    17.9324703      s\n",
      " Total number of time steps =         1800\n",
      " Average duration of a time step of the time loop =    9.96248331E-03  s\n",
      " Total number of spectral elements in the mesh =         6400\n",
      "     of which         6400  are regular elements\n",
      "     and            0  are PML elements.\n",
      " Average duration of the calculation per spectral element =    1.55663804E-06  s\n",
      "\n",
      "\n",
      " Total duration of the timeloop in seconds, measured using \n",
      " date and time of the system :    17.9400005      s\n",
      "\n",
      " Writing Kernels file\n",
      "\n",
      " Elastic kernels:\n",
      "   maximum value of rho  kernel      =    2.05783124E-09\n",
      "   maximum value of kappa kernel     =   -0.00000000    \n",
      "   maximum value of mu kernel        =    3.46267832E-08\n",
      "\n",
      "   maximum value of rho prime kernel =    3.41716841E-08\n",
      "   maximum value of alpha kernel     =   -0.00000000    \n",
      "   maximum value of beta kernel      =    6.92535664E-08\n",
      "\n",
      "   ./OUTPUT_FILES/proc000000_rho_kappa_mu_kernel.dat\n",
      "   ./OUTPUT_FILES/proc000000_rhop_alpha_beta_kernel.dat\n",
      "\n",
      "   ./OUTPUT_FILES/proc000000_weights_kernel.dat\n",
      "\n",
      "\n",
      "\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " Program SPECFEM2D: \n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " Simple Kernel\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n",
      " D a t e : 01 - 03 - 2022                                 T i m e  : 13:37:59\n",
      " -------------------------------------------------------------------------------\n",
      " -------------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "# Run the solver\n",
    "!$specfem2d_path/xspecfem2D"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "064f64f8-b9f6-467f-b70a-f8d678129dcc",
   "metadata": {},
   "source": [
    "# Plotting the Kernels\n",
    "\n",
    "`./OUTPUT_FILES/proc000000_rhop_alpha_beta_kernel.dat` file holds the kernel data.\n",
    "\n",
    "It is a text file contains 5 columns: `x`, `z`, `rhop`, `alpha`, `beta`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a4b10be5-75df-43ed-bba3-db4a2fb3fceb",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.loadtxt(\"./OUTPUT_FILES/proc000000_rhop_alpha_beta_kernel.dat\")\n",
    "\n",
    "# first column: x\n",
    "x = data[:, 0]\n",
    "# second column: z\n",
    "z = data[:, 1]\n",
    "# fifth column: beta_kernel\n",
    "beta = data[:, 4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "54638271-cbf2-4020-92a0-25b795e66a15",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For plotting, you can check: specfem2D/utils/Visualization/plot_kernel.py\n",
    "\n",
    "# First we need to get the data into proper format\n",
    "X, Z, BETA = grid(x, z, beta)\n",
    "\n",
    "# vmax = np.max(np.abs(beta))\n",
    "vmax = 5e-9\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "\n",
    "\n",
    "\n",
    "im = ax.imshow(BETA, vmax=vmax, vmin=-vmax, extent=[x.min(), x.max(), z.min(), z.max()],\n",
    "               cmap=\"seismic_r\")\n",
    "ax.set_xlabel(\"X (m)\")\n",
    "ax.set_ylabel(\"Z (m)\")\n",
    "ax.set_title(\"Beta Kernel\")\n",
    "\n",
    "\n",
    "# Plot source and station\n",
    "ax.scatter(1000, 2000, 300, marker=\"*\", color=\"magenta\", edgecolor=\"white\")\n",
    "ax.scatter(3000, 2000, 250, marker=\"v\", color=\"magenta\", edgecolor=\"white\")\n",
    "\n",
    "plt.colorbar(im, ax=ax);"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}