From 7d516d2879367299bc511f7308a01051ea9b1f0e Mon Sep 17 00:00:00 2001 From: D Fournier Date: Sun, 27 Sep 2015 09:25:53 -0700 Subject: [PATCH] Change functions in the header and start a development branch. --- .../Tutorial_1_Mag forward modeling.ipynb | 895 +++++++++--------- 1 file changed, 462 insertions(+), 433 deletions(-) diff --git a/simpegPF/notebooks/tutorials/Tutorial_1_Mag forward modeling.ipynb b/simpegPF/notebooks/tutorials/Tutorial_1_Mag forward modeling.ipynb index 2f383f33..c58a50b7 100644 --- a/simpegPF/notebooks/tutorials/Tutorial_1_Mag forward modeling.ipynb +++ b/simpegPF/notebooks/tutorials/Tutorial_1_Mag forward modeling.ipynb @@ -1,443 +1,472 @@ { - "metadata": { - "name": "", - "signature": "sha256:550ca3df316c026a67f55f9de3baa38df81944304bfe8103f9a2d9e8a43c20c7" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ + "cells": [ { - "cells": [ + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ { - "cell_type": "code", - "collapsed": false, - "input": [ - "from SimPEG import *\n", - "from simpegPF.MagAnalytics import spheremodel, MagSphereAnalFun, CongruousMagBC, MagSphereAnalFunA\n", - "from simpegPF.Magnetics import MagneticsDiffSecondary, MagneticsDiffSecondaryInv, BaseMag\n", - "%pylab inline" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], - "prompt_number": 15 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import matplotlib\n", - "matplotlib.rcParams.update({'font.size': 16, 'text.usetex': True})" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 16 - }, - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Forward problem: Magnetics" + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" ] }, { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This is a tutorial for Mag forward problem using simpegPF package. We first start with analytic solution for susceptible sphere in a whole space. Then we solve steady-state Maxwell's equatoins for Mag problem (See Doc) using simpegPF package. " - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step1: Discretize the earth" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We use TensorMesh class in SimPEG to discretize the 3D earth (See Doc). Let's visualize discretized mesh on section views:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "cs = 12.5\n", - "ncx, ncy, ncz, npad = 41, 41, 40, 5\n", - "hx = [(cs,npad,-1.4), (cs,ncx), (cs,npad,1.4)]\n", - "hy = [(cs,npad,-1.4), (cs,ncy), (cs,npad,1.4)]\n", - "hz = [(cs,npad,-1.4), (cs,ncz), (cs,npad,1.4)]\n", - "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCC')\n", - "fig, ax = plt.subplots(1,2, figsize=(12, 5))\n", - "dat0 = mesh.plotSlice(np.zeros(mesh.nC), grid=True, ax=ax[0]); ax[0].set_title('XY plane')\n", - "dat1 = mesh.plotSlice(np.zeros(mesh.nC), grid=True, normal='X', ax=ax[1]); ax[1].set_title('YZ plane')" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 17, - "text": [ - "" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "" - ] - } - ], - "prompt_number": 17 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step2: Compose suceptibility model: susceptible sphere in whole space" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "- $\\mu = \\mu_0(1+\\chi)$\n", - "- $\\mu$: magnetic permeability\n", - "- $\\mu_0$: magnetic permeability of vacuum space\n", - "- $\\chi$: magnetic susceptibility" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from scipy.constants import mu_0\n", - "mu0 = 4*np.pi*1e-7\n", - "chibkg = 0. # Background susceptibility\n", - "chiblk = 0.01 # Susceptibility for a sphere\n", - "chi = np.ones(mesh.nC)*chibkg" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 19 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "sph_ind = spheremodel(mesh, 0, 0, -100, 80) # A sphere is located at (0, 0, 0) and radius of the sphere is 100 m\n", - "chi[sph_ind] = chiblk # Assign susceptibility value for the sphere\n", - "mu = (1.+chi)*mu0" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 20 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig, ax = plt.subplots(1,2, figsize=(12, 7))\n", - "indz = int(np.argmin(abs(mesh.vectorCCz-(-100.)))); indx = int(np.argmin(abs(mesh.vectorCCx-0.)))\n", - "dat0 = mesh.plotSlice(chi, grid=True, ind=indz, ax=ax[0]); ax[0].set_title(('XY plane at z=%5.2f')%(mesh.vectorCCz[indz]))\n", - "dat1 = mesh.plotSlice(chi, grid=True, normal='X', ind=indx, ax=ax[1]); ax[1].set_title(('YZ plane at x=%5.2f')%(mesh.vectorCCx[indx]))\n", - "cb0 = plt.colorbar(dat0[0], orientation='horizontal', ax=ax[0], ticks = linspace(0, 0.01, 5)); \n", - "cb1 = plt.colorbar(dat1[0], orientation='horizontal', ax=ax[1], ticks = linspace(0, 0.01, 5)); \n", - "cb0.set_label(\"Suceptibility\")\n", - "cb1.set_label(\"Suceptibility\")" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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q5DGK4WsUP7ZMPZKpavjaQ+N984fu76u9FiLnbABAiNBF/5uSbkl6knAsKZxv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\nrOGqyzX9dfUF/7ak17U4gr+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- "text": [ - "" - ] - } - ], - "prompt_number": 21 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step3: Set up an airborne MAG survey" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We have discretized 3D earth and generated suceptibility model, which means that we have discretized earth and physical property distribution. We can compute magnetic fields everywhere in our domain by solving parial differental equation (PDE), but our measurements are confined to finite locations. Therefore, we need to project computed fields $\\mathbf{u}$, which is defined everywhere in our domain to certain locations where we have receiving points. For instance in airborne mag survey these are the points where a plane or helicopter measure earth magnetic fields. This projection can be expressed as:\n", - "\n", - "$$ \\mathbf{d} = P(\\mathbf{u})$$\n", - "\n", - "where $P(\\cdot)$ is a projection from computed field to the measured data, and $d$ is the measure data. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's assume that we have a survey area: 400 m $\\times$ 400 m. We have 21 lines of airborne MAG survey, and we measure magnetic fields for every 20 m on each line. A pilot for this helicopter is really talented so that the flight height is constant for 30 m above the surface. " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "xr = np.linspace(-200, 200, 21)\n", - "yr = np.linspace(-200, 200, 21)\n", - "X, Y = np.meshgrid(xr, yr)\n", - "Z = np.ones((size(xr), size(yr)))*30." - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 22 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig, ax = plt.subplots(1,1, figsize=(5, 5))\n", - "indz = int(np.argmin(abs(mesh.vectorCCz-(0.))));\n", - "dat0 = mesh.plotSlice(chi, grid=True, ind=indz, ax=ax); ax.set_title(('XY plane at z=%5.2f')%(mesh.vectorCCz[indz]))\n", - "ax.plot(X.flatten(), Y.flatten(), 'w.', ms=5)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 24, - "text": [ - "[]" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "" - ] - } - ], - "prompt_number": 24 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step4: Analytic solution" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We have an analytic solution when we have a sphere in a whole-space. simpegPF provides this function so that you can compute magnetic field on your receiving locations. Another input you need to put is direction of the earth magnetic fieds, and the strength, you can easily get this information from NOAA's website. We assume that we have veritcal earth fields and the strength is 1. " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "Bxra, Byra, Bzra = MagSphereAnalFunA(X, Y, Z, 80., 0., 0., -100, chiblk, np.array([0., 0., 1.]), flag)\n", - "Bxra = np.reshape(Bxra, (size(xr), size(yr)), order='F')\n", - "Byra = np.reshape(Byra, (size(xr), size(yr)), order='F')\n", - "Bzra = np.reshape(Bzra, (size(xr), size(yr)), order='F')" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 25 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig, ax = plt.subplots(1,3, figsize=(18, 4))\n", - "dat0=ax[0].contourf(X, Y, Bxra, 30); ax[0].set_title('Bx'); cb0 = plt.colorbar(dat0, ax=ax[0])\n", - "dat1=ax[1].contourf(X, Y, Byra, 30); ax[1].set_title('By'); cb1 = plt.colorbar(dat0, ax=ax[1])\n", - "dat2=ax[2].contourf(X, Y, Bzra, 30); ax[2].set_title('Bz'); cb2 = plt.colorbar(dat0, ax=ax[2])\n", - "for i in range(3):\n", - " ax[i].plot(X.flatten(), Y.flatten(), 'k.', ms=3)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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hOQQQyn5CRZKY6JEk4ggLI0z75BBF1gM4G8A7ATyjab8ZwFcAfL15vQ312sX3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- "text": [ - "" - ] - } - ], - "prompt_number": 26 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step5: Solve PDE" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that data for this case magnetic fields projected to earth field direction, which is typical data type for airborne mag survey. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "First, set survey class" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "survey = BaseMag.BaseMagSurvey() # survey class for mag problem\n", - "Inc = 90.\n", - "Dec = 0.\n", - "Btot = 1\n", - "survey.setBackgroundField(Inc, Dec, Btot) # set inclination, declination, and strength of magnetic field\n", - "rxLoc = np.c_[Utils.mkvc(X), Utils.mkvc(Y), Utils.mkvc(Z)]\n", - "survey.rxLoc = rxLoc # set receiver locations" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 27 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Second, set problem class then pair with survey" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "prob = MagneticsDiffSecondary(mesh)\n", - "prob.pair(survey)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 28 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Third, run forward modeling" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "data = survey.dpred(mu)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 29 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we viualize computed solution and compare with analytic solutions! Note that you may always need to make sure that your numerical solution is reasonable enough. " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig, ax = plt.subplots(1,3, figsize=(18, 4))\n", - "vmin = Bzra.min()\n", - "vmax = Bzra.max()\n", - "residual = data.reshape((xr.size, yr.size), order='F')-Bzra\n", - "dat0=ax[0].contourf(X, Y, Bzra, 30, vmin=vmin, vmax=vmax)\n", - "dat1=ax[1].contourf(X, Y, data.reshape((xr.size, yr.size), order='F'), 30, vmin=vmin, vmax=vmax)\n", - "dat2=ax[2].contourf(X, Y, residual, 30)\n", - "cb0 = plt.colorbar(dat0, ax=ax[0])\n", - "cb1 = plt.colorbar(dat0, ax=ax[1])\n", - "cb2 = plt.colorbar(dat2, ax=ax[2])\n", - "ax[0].set_title('Bz (analytic)')\n", - "ax[1].set_title('Bz (simpegPF)')\n", - "ax[2].set_title('Residual')" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 30, - "text": [ - "" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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qZkoFE2VKOl3NyIbumtuHgS2aKgjlLO1/J/R+Ss81pqnSxUxZ2mftQowVYVz6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- "text": [ - "" - ] - } - ], - "prompt_number": 30 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\"Creative
This work is licensed under a Creative Commons Attribution 4.0 International License." + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" ] } ], - "metadata": {} + "source": [ + "from SimPEG import *\n", + "from simpegPF.MagAnalytics import spheremodel, MagSphereAnaFun, CongruousMagBC, MagSphereAnaFunA\n", + "from simpegPF.Magnetics import MagneticsDiffSecondary, MagneticsDiffSecondaryInv, BaseMag\n", + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import matplotlib\n", + "matplotlib.rcParams.update({'font.size': 16, 'text.usetex': True})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Forward problem: Magnetics" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is a tutorial for Mag forward problem using simpegPF package. We first start with analytic solution for susceptible sphere in a whole space. Then we solve steady-state Maxwell's equatoins for Mag problem (See Doc) using simpegPF package. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step1: Discretize the earth" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We use TensorMesh class in SimPEG to discretize the 3D earth (See Doc). Let's visualize discretized mesh on section views:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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HDDJSZ4TG+9bH9k89vzubZ84BYD545hwAsIGKhLljsmPnh/rb6vXxpr5QDxlk5JDRNR7b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\nz5DelBn98cx5Bc+cA5gznjm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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cs = 12.5\n", + "ncx, ncy, ncz, npad = 41, 41, 40, 5\n", + "hx = [(cs,npad,-1.4), (cs,ncx), (cs,npad,1.4)]\n", + "hy = [(cs,npad,-1.4), (cs,ncy), (cs,npad,1.4)]\n", + "hz = [(cs,npad,-1.4), (cs,ncz), (cs,npad,1.4)]\n", + "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCC')\n", + "fig, ax = plt.subplots(1,2, figsize=(12, 5))\n", + "dat0 = mesh.plotSlice(np.zeros(mesh.nC), grid=True, ax=ax[0]); ax[0].set_title('XY plane')\n", + "dat1 = mesh.plotSlice(np.zeros(mesh.nC), grid=True, normal='X', ax=ax[1]); ax[1].set_title('YZ plane')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step2: Compose suceptibility model: susceptible sphere in whole space" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- $\\mu = \\mu_0(1+\\chi)$\n", + "- $\\mu$: magnetic permeability\n", + "- $\\mu_0$: magnetic permeability of vacuum space\n", + "- $\\chi$: magnetic susceptibility" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from scipy.constants import mu_0\n", + "mu0 = 4*np.pi*1e-7\n", + "chibkg = 0. # Background susceptibility\n", + "chiblk = 0.01 # Susceptibility for a sphere\n", + "chi = np.ones(mesh.nC)*chibkg" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sph_ind = spheremodel(mesh, 0, 0, -100, 80) # A sphere is located at (0, 0, 0) and radius of the sphere is 100 m\n", + "chi[sph_ind] = chiblk # Assign susceptibility value for the sphere\n", + "mu = (1.+chi)*mu0" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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8uni5PXbcpc/21Bh+FFmrrKU+HsupEWtvG++bP3R/AADSseg/Jhuxbp/aqf1j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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,2, figsize=(12, 7))\n", + "indz = int(np.argmin(abs(mesh.vectorCCz-(-100.)))); indx = int(np.argmin(abs(mesh.vectorCCx-0.)))\n", + "dat0 = mesh.plotSlice(chi, grid=True, ind=indz, ax=ax[0]); ax[0].set_title(('XY plane at z=%5.2f')%(mesh.vectorCCz[indz]))\n", + "dat1 = mesh.plotSlice(chi, grid=True, normal='X', ind=indx, ax=ax[1]); ax[1].set_title(('YZ plane at x=%5.2f')%(mesh.vectorCCx[indx]))\n", + "cb0 = plt.colorbar(dat0[0], orientation='horizontal', ax=ax[0], ticks = linspace(0, 0.01, 5)); \n", + "cb1 = plt.colorbar(dat1[0], orientation='horizontal', ax=ax[1], ticks = linspace(0, 0.01, 5)); \n", + "cb0.set_label(\"Suceptibility\")\n", + "cb1.set_label(\"Suceptibility\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step3: Set up an airborne MAG survey" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We have discretized 3D earth and generated suceptibility model, which means that we have discretized earth and physical property distribution. We can compute magnetic fields everywhere in our domain by solving parial differental equation (PDE), but our measurements are confined to finite locations. Therefore, we need to project computed fields $\\mathbf{u}$, which is defined everywhere in our domain to certain locations where we have receiving points. For instance in airborne mag survey these are the points where a plane or helicopter measure earth magnetic fields. This projection can be expressed as:\n", + "\n", + "$$ \\mathbf{d} = P(\\mathbf{u})$$\n", + "\n", + "where $P(\\cdot)$ is a projection from computed field to the measured data, and $d$ is the measure data. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's assume that we have a survey area: 400 m $\\times$ 400 m. We have 21 lines of airborne MAG survey, and we measure magnetic fields for every 20 m on each line. A pilot for this helicopter is really talented so that the flight height is constant for 30 m above the surface. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "xr = np.linspace(-200, 200, 21)\n", + "yr = np.linspace(-200, 200, 21)\n", + "X, Y = np.meshgrid(xr, yr)\n", + "Z = np.ones((size(xr), size(yr)))*30." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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wBEwawb0guBcEaQ/ngC04B0wI6QvOAUcx6sFfU5+xfUN2Pr0rS9nOKZecc8sp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\nAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1, figsize=(5, 5))\n", + "indz = int(np.argmin(abs(mesh.vectorCCz-(0.))));\n", + "dat0 = mesh.plotSlice(chi, grid=True, ind=indz, ax=ax); ax.set_title(('XY plane at z=%5.2f')%(mesh.vectorCCz[indz]))\n", + "ax.plot(X.flatten(), Y.flatten(), 'w.', ms=5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step4: Analytic solution" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We have an analytic solution when we have a sphere in a whole-space. simpegPF provides this function so that you can compute magnetic field on your receiving locations. Another input you need to put is direction of the earth magnetic fieds, and the strength, you can easily get this information from NOAA's website. We assume that we have veritcal earth fields and the strength is 1. " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "Bxra, Byra, Bzra = MagSphereAnaFunA(X, Y, Z, 80., 0., 0., -100, chiblk, np.array([0., 0., 1.]), flag)\n", + "Bxra = np.reshape(Bxra, (size(xr), size(yr)), order='F')\n", + "Byra = np.reshape(Byra, (size(xr), size(yr)), order='F')\n", + "Bzra = np.reshape(Bzra, (size(xr), size(yr)), order='F')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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ox6ZGePS9Gk2XgkjbfHPd/l0KJX0WYmWYwTMEQaSvZWtDnobGLILqU3yVAK9E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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,3, figsize=(18, 4))\n", + "dat0=ax[0].contourf(X, Y, Bxra, 30); ax[0].set_title('Bx'); cb0 = plt.colorbar(dat0, ax=ax[0])\n", + "dat1=ax[1].contourf(X, Y, Byra, 30); ax[1].set_title('By'); cb1 = plt.colorbar(dat0, ax=ax[1])\n", + "dat2=ax[2].contourf(X, Y, Bzra, 30); ax[2].set_title('Bz'); cb2 = plt.colorbar(dat0, ax=ax[2])\n", + "for i in range(3):\n", + " ax[i].plot(X.flatten(), Y.flatten(), 'k.', ms=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step5: Solve PDE" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that data for this case magnetic fields projected to earth field direction, which is typical data type for airborne mag survey. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, set survey class" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "survey = BaseMag.BaseMagSurvey() # survey class for mag problem\n", + "Inc = 90.\n", + "Dec = 0.\n", + "Btot = 1\n", + "survey.setBackgroundField(Inc, Dec, Btot) # set inclination, declination, and strength of magnetic field\n", + "rxLoc = np.c_[Utils.mkvc(X), Utils.mkvc(Y), Utils.mkvc(Z)]\n", + "survey.rxLoc = rxLoc # set receiver locations" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Second, set problem class then pair with survey" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "prob = MagneticsDiffSecondary(mesh)\n", + "prob.pair(survey)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Third, run forward modeling" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "data = survey.dpred(mu)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we viualize computed solution and compare with analytic solutions! Note that you may always need to make sure that your numerical solution is reasonable enough. " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'Bzra' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[0mfig\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0max\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m3\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mfigsize\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m18\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m4\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mvmin\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mBzra\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmin\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 3\u001b[0m \u001b[0mvmax\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mBzra\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmax\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[0mresidual\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mxr\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msize\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0myr\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msize\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0morder\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'F'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mBzra\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,3, figsize=(18, 4))\n", + "vmin = Bzra.min()\n", + "vmax = Bzra.max()\n", + "residual = data.reshape((xr.size, yr.size), order='F')-Bzra\n", + "dat0=ax[0].contourf(X, Y, Bzra, 30, vmin=vmin, vmax=vmax)\n", + "dat1=ax[1].contourf(X, Y, data.reshape((xr.size, yr.size), order='F'), 30, vmin=vmin, vmax=vmax)\n", + "dat2=ax[2].contourf(X, Y, residual, 30)\n", + "cb0 = plt.colorbar(dat0, ax=ax[0])\n", + "cb1 = plt.colorbar(dat0, ax=ax[1])\n", + "cb2 = plt.colorbar(dat2, ax=ax[2])\n", + "ax[0].set_title('Bz (analytic)')\n", + "ax[1].set_title('Bz (simpegPF)')\n", + "ax[2].set_title('Residual')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"Creative
This work is licensed under a Creative Commons Attribution 4.0 International License." + ] } - ] -} \ No newline at end of file + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}