{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Inversion of Time Domain EM data: Bookpurnong Australia\n", "\n", "This example is based on the inversion published of SkyTEM data over Bookpurnong in [Heagy et al. (2017)](https://www.sciencedirect.com/science/article/pii/S0098300416303946)\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# core python packages\n", "import os\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import ipywidgets\n", "from scipy.constants import mu_0\n", "\n", "# SimPEG and related packages\n", "from pymatsolver import Pardiso as Solver\n", "from SimPEG import (\n", " Mesh, Maps, Utils, DataMisfit, Regularization, Optimization, \n", " Inversion, InvProblem, Directives\n", ")\n", "from SimPEG.EM import TDEM" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# larger font size for plots\n", "from matplotlib import rcParams\n", "rcParams['font.size']=14" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Look at the contents of the data directory we are given" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['MurrayRiver.txt',\n", " 'booky_resolve.hdf5',\n", " '8044_Bookpurnong.HDR',\n", " 'SK655CS_Bookpurnong_ZX_HM_TxInc_newDTM.txt',\n", " 'booky_skytem.hdf5',\n", " 'README.txt',\n", " 'Bookpurnong_SkyTEM.HDR',\n", " 'Bookpurnong_Resolve_Exported.XYZ']" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_directory = os.path.sep.join([\"..\", \"data\", \"bookpurnong\"])\n", "os.listdir(data_directory)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### look at the README for a description of the files" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bookpurnong Data Sets\n", "=====================\n", "\n", "The RESOLVE and SkyTEM data collected over Bookpurnong have been made available with permission from CSIRO. Please acknowledge CSIRO if using these data in a presentation, publication, etc.\n", "\n", "Two data sets are included in this distribution, RESOLVE data collected in 2008, and SkyTEM (High Moment) data collected in 2006.\n", "\n", "For an example of how to load and plot the data, please see: http://docs.simpeg.xyz\n", "\n", "\n", "Contents\n", "--------\n", "\n", "- 8044_Bookpurnong.HDR : RESOLVE header file for the 2008 Bookpurnong survey\n", "- Bookpurnong_Resolve_Exported.XYZ : RESOLVE data collected in 2008\n", "- Bookpurnong_SkyTEM.HDR : SkyTEM header file for the 2006 Bookpurnong survey\n", "- SK655CS_Bookpurnong_ZX_HM_TxInc_newDTM.txt : SkyTEM high moment data collected in 2006\n", "\n", "\n", "\n", "\n" ] } ], "source": [ "# the os.path.sep.join combines the \"bookpurnong\" and \"README.txt\" with the \n", "# correct path seperator (e.g. on mac or linux, this will produce \n", "# \"bookpurnong/README.txt\")\n", "\n", "with open(os.path.sep.join([data_directory, \"README.txt\"]), 'r') as file:\n", " print(file.read())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load the SkyTEM data\n", "\n", "Here, we use the [pandas](https://pandas.pydata.org/) library to read in the data. Pandas is good for working with tabular data, particularly when those data might not all be of the same type. For example, in the SkyTEM data set, there are dates, numeric values, times, ... These don't nicely fit into a numpy array, but do fit nicely into a pandas data frame. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Load SkyTEM 2005\n", "skytem = pd.read_table(\n", " os.path.sep.join([data_directory, \"SK655CS_Bookpurnong_ZX_HM_TxInc_newDTM.txt\"])\n", ")\n", "\n", "# list(skytem) # list the data header" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# pull out the flight lines\n", "lines = np.unique(skytem.LINE)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Load path of Murray River\n", "river_path = np.loadtxt(os.path.sep.join([data_directory, \"MurrayRiver.txt\"]))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def plot_line(line_number, ax=None):\n", " \"\"\"\n", " A plotting function that will plot all sounding locations for a given `line_number`\n", " \"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots(1, 1)\n", " inds = skytem.LINE == line_number\n", " ax.plot(skytem.E[inds], skytem.N[inds], '.', ms=0.6)\n", " return ax" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot all of the flight lines\n", "fig, ax = plt.subplots(1, 1)\n", "for l in lines:\n", " plot_line(l, ax=ax)\n", "\n", "# ax.plot(river_path[:, 0], river_path[:, 1], 'k', lw=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find and omit the tie lines and lines along river. \n", "\n", "Here, I use a small widget to plot line by line to see which lines are the ones that are along the river or are tie lines. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "036f2c15b62a4c32b7985c0e083d9834", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=0, description='ind', max=34), Output()), _dom_classes=('widget-interact…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ipywidgets.interactive(\n", " lambda ind: plot_line(lines[ind]), \n", " ind=ipywidgets.IntSlider(min=0, max=len(lines)-1, value=0),\n", ")\n", "\n", "# ax.plot(river_path[:, 0], river_path[:, 1], 'k', lw=0.5)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tie_line_inds = (skytem.LINE >= lines[29])\n", "\n", "fig, ax = plt.subplots(1, 1)\n", "for l in lines[:29]:\n", " plot_line(l, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Pare down the data set for inversion\n", "- invert only the z-oriented data\n", "- ignore tie-lines and lines along the river" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "data_inds = []\n", "\n", "for i, head in enumerate(list(skytem)):\n", " if head.startswith(\"Z\"):\n", " data_inds.append(i)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "easting = skytem.E[~tie_line_inds].values\n", "northing = skytem.N[~tie_line_inds].values\n", "elevation = skytem.LASALT[~tie_line_inds].values\n", "data = skytem.iloc[np.where(~tie_line_inds)[0], data_inds].values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### time channels where the data are sampled\n", "- the below values are copied from the skytem header file for the high moment data" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "time_channels = np.vstack([\n", " [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30],\n", " [470e-7, 598e-7, 726e-7, 886e-7, 1118e-7, 1454e-7, 1852e-7, 2344e-7, 2952e-7, 3706e-7, 4644e-7, 5814e-7, 7278e-7, 9112e-7, 11170e-7, 14292e-7, 17912e-7, 22460e-7, 28174e-7, 35356e-7, 44388e-7, 55750e-7, 7.00e-03, 8.80e-03]\n", "]).T" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def plot_data(time_ind):\n", " \"\"\"\n", " Given a time index, plot_data will plot the skytem data across \n", " the survey area at that time\n", " \"\"\"\n", " fig, ax = plt.subplots(1,1, figsize = (8,8))\n", " \n", " # grid the data\n", "# nskip = \n", " out = Utils.plot2Ddata(np.vstack([easting, northing]).T, data[:, time_ind], ncontour=100, ax=ax)\n", " plt.colorbar(out[0], ax=ax, label=\"db/dt\")\n", " \n", " # add the river path \n", " ax.plot(river_path[:, 0], river_path[:, 1], 'k', lw=0.5)\n", " \n", " # labels\n", " ax.set_xlabel('easting (m)')\n", " ax.set_ylabel('northing (m)')\n", " \n", " # get title \n", " ax.set_title(f\"time channel {time_channels[time_ind, 0]}, t = {time_channels[time_ind, 1]}s\")\n", " return ax" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1ae2c7c3dcea47d09934e0fba539a8f2", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=0, description='time_ind', max=23), Output()), _dom_classes=('widget-int…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipywidgets.interact(\n", " plot_data, \n", " time_ind = ipywidgets.IntSlider(min=0, max=time_channels.shape[0]-1, value=0)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## invert a single sounding\n", "\n", "Here, we will invert a single sounding location for a layered earth and use a cylindrically symmetric mesh for the forward modelling. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "xloc, yloc = 462100.0, 6196500.0\n", "rxind = np.argmin((easting-xloc)**2+(northing-yloc)**2)\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the location\n", "ax = plot_data(20)\n", "ax.plot(easting[rxind], northing[rxind], 'ro')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "ax.loglog(time_channels[:, 1], data[rxind, :], 'o')\n", "ax.set_xlabel(\"time (s)\")\n", "ax.set_ylabel(\"db$_z$ / dt (V / Am$^4$)\")\n", "ax.grid(\"k\", alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## set up the forward simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set up a mesh\n", "\n", "- here, we use a cylindrically symmetric mesh to perform the 1D inversion\n", "- we make sure that the forward simulation mesh extends beyond the diffusion distance of the latest time channel\n", "\n", "$$\n", "z_{max} = \\sqrt{\\frac{2 t}{\\mu\\sigma}} \\approx 1260 \\sqrt{\\frac{ t}{\\sigma}}\n", "$$\n", "\n", "- for more details on setting up a cylindrically symmetric mesh, see the [docs](http://docs.simpeg.xyz/content/api_core/api_MeshCode.html#cylindrical-mesh)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "398.4469851812158\n" ] } ], "source": [ "diffusion_distance = 1260 * np.sqrt(1e-2 / 1e-1)\n", "print(diffusion_distance)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# cell size, number of cells in the x-direction, \n", "# number of cells in the z-direction and number of padding cells\n", "cs, ncx, ncz, npad = 1., 10., 10., 20\n", "hx = [(cs, ncx), (cs, npad, 1.3)]\n", "npad = 12\n", "\n", "log_spaced_z_cells = np.logspace(np.log10(1.), np.log10(12.), 19)\n", "z_padding = log_spaced_z_cells[-1] * 1.3 ** np.arange(npad)\n", "hz = np.r_[z_padding[::-1], log_spaced_z_cells[::-1], log_spaced_z_cells, z_padding]\n", "mesh = Mesh.CylMesh([hx, 1, hz], '00C')\n", "active = mesh.vectorCCz < 0." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mesh.plotGrid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### set up mappings and a starting model\n", "\n", "Mappings are used in SimPEG to translate the set of parameters that we invert for to electrical conductivity values on the forward simulation mesh. \n", "\n", "Here, the inversion model is 1D log-conductivity below the surface. So we use an `InjectActiveCells` map to include the air cells, the `SurjectVertical1D` map to take the 1D model and put it on the cylindrically symmetric mesh, and the `ExpMap` to take the exponential of the log-conductivity values. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "sig_half = 1e-1\n", "sig_air = 1e-8\n", "active_inds = mesh.vectorCCz < 0.\n", "active_map = Maps.InjectActiveCells(mesh, active_inds, np.log(sig_air), nC=mesh.nCz)\n", "mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * active_map" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "m0 = np.ones(active_inds.sum())*np.log(sig_half)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## plot the initial model\n", "\n", "plt.colorbar(mesh.plotImage(np.log10(mapping*m0))[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### source waveform\n", "- the below values were copied from the skytem header file for the high moment data\n", "- we will need a finer discretization for the simulation, so we approximate it by the VTEM source function, which is very similar. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "waveform = np.vstack([\n", " np.r_[-10, -9.29, -8.41, -7.26, -5.28, -3.62, -2.33, -0.62, 0.00, 0.0266, 0.0276, 0.0286, 10.000]*1e-3,\n", " np.r_[0, 20, 40, 60, 80, 90, 95, 99, 100, 1.53, 0.566, 0.000, 0.000]/100.\n", "]).T" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "t0 = -1*waveform[0, 0]\n", "src_waveform = TDEM.Src.VTEMWaveform(a=3., peakTime=t0, offTime=t0+29e-6)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "ax.plot(waveform[:, 0]+t0, waveform[:, 1], 'o')\n", "ax.plot(waveform[:, 0]+t0, [src_waveform.eval(t) for t in waveform[:, 0]+t0])\n", "ax.set_xlabel(\"time (s)\")\n", "ax.set_ylabel(\"Normalized current\")\n", "ax.grid(\"k\", alpha=0.5)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "# loop parameters\n", "area = 313.98\n", "radius = np.sqrt(area/np.pi)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "# Bird height from the surface\n", "system_height = elevation[rxind]\n", "\n", "# The data are secondary field data\n", "dbdtz = TDEM.Rx.Point_dbdt(\n", " np.array([[radius, 0., system_height]]),\n", " orientation='z',\n", " times=time_channels[:-3, 1] + t0\n", ")" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "# source\n", "src_list = [\n", " TDEM.Src.CircularLoop(\n", " [dbdtz], loc=np.r_[0., 0., system_height], radius=radius,\n", " orientation='z',\n", " waveform=src_waveform, \n", " current=1./area # the data are normalized by loop area\n", " )\n", "]" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "# solve the problem at these times\n", "timeSteps = [\n", " (src_waveform.peakTime/5, 5), ((src_waveform.offTime-src_waveform.peakTime)/5, 5),\n", " (1e-5, 5), (5e-5, 5), (1e-4, 10), (5e-4, 15)\n", "]\n", "problem = TDEM.Problem3D_e(\n", " mesh, timeSteps=timeSteps, sigmaMap=mapping, Solver=Solver\n", ")\n", "survey = TDEM.Survey(src_list)\n", "problem.pair(survey)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "ax.plot(waveform[:, 0]+t0, waveform[:, 1], 'o')\n", "ax.plot(waveform[:, 0]+t0, [src_waveform.eval(t) for t in waveform[:, 0]+t0])\n", "ax.plot(problem.timeMesh.vectorNx, np.zeros(problem.timeMesh.nN), 'k|', ms=10)\n", "ax.set_xlabel(\"time (s)\")\n", "ax.set_ylabel(\"Normalized current\")\n", "ax.grid(\"k\", alpha=0.5)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### create data vector and run a forward simulation\n", "- assign uncertainties to the data" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "std = 0.05\n", "floor = 1e-12\n", "dobs = data[rxind, :-3] # ignore the last three time-channels\n", "uncert = abs(dobs) * std + floor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "run a forward simulation. \n", "\n", "This lets us sanity-check our setup. We don't expect the data to match, but should be similar in order-of-magnitude. " ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 10 µs, sys: 2 µs, total: 12 µs\n", "Wall time: 11.9 µs\n" ] } ], "source": [ "%time\n", "dpred_0 = survey.dpred(m0)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "ax.loglog(time_channels[:-3, 1], dobs, \"C0s\", label=\"dobs\")\n", "plt.errorbar(time_channels[:-3, 1], dobs, yerr=uncert, color=\"C0\")\n", "ax.loglog(time_channels[:-3, 1], -dpred_0, \"C1\", label=\"dpred\")\n", "\n", "ax.grid('k', alpha=0.5)\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data uncertainties" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SimPEG.DataMisfit.l2_DataMisfit assigning default std of 5%\n", "SimPEG.DataMisfit.l2_DataMisfit assigning default eps of 1e-5 * ||dobs||\n" ] } ], "source": [ "survey.dobs = -dobs\n", "dmisfit = DataMisfit.l2_DataMisfit(survey)\n", "dmisfit.W = 1./uncert" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Regularization" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "reg_mesh = Mesh.TensorMesh([mesh.hz[mapping.maps[-1].indActive]])\n", "reg = Regularization.Tikhonov(reg_mesh, mapping=Maps.IdentityMap(reg_mesh))\n", "reg.alpha_s = 1e-3\n", "reg.alpha_x = 1.\n", "reg.mref = m0.copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### State the inverse problem\n", "\n", "For reference, see the [docs on inversion components](http://docs.simpeg.xyz/content/api_core/api_InversionComponents.html)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "opt = Optimization.InexactGaussNewton(maxIter=10)\n", "opt.LSshorten = 0.5\n", "opt.remember('xc')\n", "\n", "invProb = InvProblem.BaseInvProblem(dmisfit, reg, opt)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", " ***Done using same Solver and solverOpts as the problem***\n", "model has any nan: 0\n", "============================ Inexact Gauss Newton ============================\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", "x0 has any nan: 0\n", " 0 5.00e+00 1.65e+03 0.00e+00 1.65e+03 6.30e+02 0 \n", " 1 5.00e+00 1.03e+02 5.69e-01 1.06e+02 8.85e+01 0 \n", "------------------------- STOP! -------------------------\n", "1 : |fc-fOld| = 0.0000e+00 <= tolF*(1+|f0|) = 1.6541e+02\n", "0 : |xc-x_last| = 2.8865e+00 <= tolX*(1+|x0|) = 1.3820e+00\n", "0 : |proj(x-g)-x| = 8.8485e+01 <= tolG = 1.0000e-01\n", "0 : |proj(x-g)-x| = 8.8485e+01 <= 1e3*eps = 1.0000e-02\n", "0 : maxIter = 10 <= iter = 2\n", "------------------------- DONE! -------------------------\n" ] } ], "source": [ "target = Directives.TargetMisfit() # stop when we hit target misfit\n", "invProb.beta = 5.\n", "# betaest = Directives.BetaEstimate_ByEig(beta0_ratio=1e0)\n", "inv = Inversion.BaseInversion(invProb, directiveList=[target])\n", "# run the inversion\n", "mrec = inv.run(m0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### plot the data" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extract the data so\n", "dpred = invProb.dpred\n", "\n", "\n", "fig, ax = plt.subplots(1, 1)\n", "\n", "ax.loglog(time_channels[:-3, 1], dobs, \"C0s\", label=\"dobs\")\n", "ax.loglog(time_channels[:-3, 1], -dpred, \"C1\", label=\"dpred\")\n", "\n", "ax.grid('k', alpha=0.5)\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the recovered model" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(4, 6))\n", "\n", "mplot = np.repeat(np.exp(mrec), 2, axis=0)\n", "z = np.repeat(mesh.vectorCCz[active][1:], 2, axis=0)\n", "ax.semilogx(mplot, np.r_[z[0], z, z[-1]])\n", "ax.set_ylabel(\"z (m)\")\n", "ax.set_xlabel(\"conductivity (S/m)\")\n", "ax.set_ylim([-50, 1])\n", "ax.grid('k', alpha=0.5)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }