{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Harmonic Magnetic Dipole Sounding over a Sphere\n",
"\n",
"In this notebook, we will simulate an FDEM sounding over a conductive sphere. A cylindrical mesh and the [SimPEG](http://simpeg.xyz) Electromanetics module is used to perform the simulation. \n",
"\n",
"For more on SimPEG and SimPEG.EM see:\n",
"\n",
"- [(Cockett et al., 2015)](http://www.sciencedirect.com/science/article/pii/S009830041530056X): *SimPEG: An open source framework for simulation and gradient based parameter estimation in geophysical applications*\n",
"- [(Heagy et al., 2016)](https://arxiv.org/abs/1610.00804): *A framework for simulation and inversion in electromagnetics*"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## Setup\n",
"\n",
"An inductive loop transmitter is centered over an electrically conductive sphere (radius 30m). The transmitter is 20m above the surface, and the center of the sphere is 50m below the surface. A coil receiver is offset by 8m horizontally from the transmitter. \n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Getting Started: Package Imports\n",
"\n",
"- [NumPy](http://www.numpy.org/), [SciPy](https://www.scipy.org/) and [Matplotlib](http://matplotlib.org/) are core Python packages that can be installed when you install python with a distribution such as [Anaconda](https://www.continuum.io/downloads). \n",
"\n",
"- [SimPEG](http://simpeg.xyz) is a Simulation and Inversion package for geophysics. \n",
"\n",
"If you would like to set up and run SimPEG on your machine, see http://simpeg.xyz and http://tutorials.simpeg.xyz"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Basic python packages\n",
"import numpy as np \n",
"import matplotlib.pyplot as plt\n",
"from scipy.constants import mu_0\n",
"\n",
"# Modules of SimPEG we will use for forward modelling\n",
"from SimPEG import Mesh, Utils, Maps\n",
"from SimPEG.EM import FDEM\n",
"from SimPEG import SolverLU as Solver\n",
"\n",
"# Set a nice colormap! \n",
"plt.set_cmap(plt.get_cmap('viridis'))\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model Parameters\n",
"\n",
"We define a \n",
"- resistive halfspace and \n",
"- conductive sphere \n",
" - radius of 30m \n",
" - center is 50m below the surface"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# electrical conductivities in S/m\n",
"sig_halfspace = 1e-6\n",
"sig_sphere = 1e-2\n",
"sig_air = 1e-8"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# depth to center, radius in m\n",
"sphere_z = -50.\n",
"sphere_radius = 30. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Survey Parameters\n",
"\n",
"- Transmitter and receiver 20m above the surface \n",
"- Receiver offset from transmitter by 8m horizontally\n",
"- 25 frequencies, logaritmically between $10^3$ Hz and $10^6$ Hz"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"boom_height = 20. \n",
"rx_offset = 8. \n",
"freqs = np.logspace(3, 6, 25)\n",
"\n",
"# source and receiver location in 3D space\n",
"src_loc = np.r_[0., 0., boom_height]\n",
"rx_loc = np.atleast_2d(np.r_[rx_offset, 0., boom_height])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Minimum skin depth (in sphere): 5.00e+00 m \n",
"Maximum skin depth (in background): 1.58e+04 m \n"
]
}
],
"source": [
"# print the min and max skin depths to make sure mesh is fine enough and \n",
"# extends far enough \n",
"\n",
"def skin_depth(sigma, f):\n",
" return 500./np.sqrt(sigma * f)\n",
"\n",
"print(\n",
" 'Minimum skin depth (in sphere): {:.2e} m '.format(skin_depth(sig_sphere, freqs.max()))\n",
")\n",
"print(\n",
" 'Maximum skin depth (in background): {:.2e} m '.format(skin_depth(sig_halfspace, freqs.min()))\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Mesh\n",
"\n",
"Here, we define a cylindrically symmetric tensor mesh. \n",
"\n",
"The figure below shows a cell in a cartesian mesh (a) and a cylindrically symmetric mesh (b). Note that edges are rotational and faces are radial and vertical in the cylindrically symmetric mesh. \n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Mesh Parameters\n",
"\n",
"For the mesh, we will use a cylindrically symmetric tensor mesh. To construct a tensor mesh, all that is needed is a vector of cell widths in the x and z-directions. We will define a core mesh region of uniform cell widths and a padding region where the cell widths expand \"to infinity\". "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# x-direction\n",
"csx = 2 # core mesh cell width in the x-direction\n",
"ncx = np.ceil(1.2*sphere_radius/csx) # number of core x-cells (uniform mesh slightly beyond sphere radius)\n",
"npadx = 30 # number of x padding cells\n",
"\n",
"# z-direction\n",
"csz = 1 # core mesh cell width in the z-direction\n",
"ncz = np.ceil(1.2*(boom_height - (sphere_z-sphere_radius))/csz) # number of core z-cells (uniform cells slightly below bottom of sphere)\n",
"npadz = 32 # number of z padding cells\n",
"\n",
"# padding factor (expand cells to infinity)\n",
"pf = 1.3"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# cell spacings in the x and z directions\n",
"hx = Utils.meshTensor([(csx, ncx), (csx, npadx, pf)])\n",
"hz = Utils.meshTensor([(csz, npadz, -pf), (csz, ncz), (csz, npadz, pf)])\n",
"\n",
"# define a SimPEG mesh\n",
"mesh = Mesh.CylMesh([hx, 1, hz], x0 = np.r_[0.,0., -hz.sum()/2.-boom_height])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the mesh\n",
"\n",
"Below, we plot the mesh. The cyl mesh is rotated around x=0. Ensure that each dimension extends beyond the maximum skin depth. \n",
"\n",
"Zoom in by changing the xlim and zlim. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The maximum skin depth (in background) is: 1.58e+04 m. Does the mesh go sufficiently past that?\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# X and Z limits we want to plot to. Try changing them to see the core region of the mesh\n",
"xlim = np.r_[0., 2.5e4]\n",
"zlim = np.r_[-2.5e4, 2.5e4]\n",
"\n",
"fig, ax = plt.subplots(1,1)\n",
"mesh.plotGrid(ax=ax)\n",
"\n",
"ax.set_title('Simulation Mesh')\n",
"ax.set_xlim(xlim)\n",
"ax.set_ylim(zlim)\n",
"\n",
"print(\n",
" 'The maximum skin depth (in background) is: {:.2e} m. '\n",
" 'Does the mesh go sufficiently past that?'.format(\n",
" skin_depth(sig_halfspace, freqs.min())\n",
" )\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Put Model on Mesh\n",
"\n",
"Now that the model parameters and mesh are defined, we can define electrical conductivity on the mesh. \n",
"\n",
"The electrical conductivity is defined at cell centers when using the finite volume method. So here, we define a vector that contains an electrical conductivity value for every cell center. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# create a vector that has one entry for every cell center\n",
"sigma = sig_air*np.ones(mesh.nC) # start by defining the conductivity of the air everwhere\n",
"sigma[mesh.gridCC[:,2] < 0.] = sig_halfspace # assign halfspace cells below the earth\n",
"\n",
"# indices of the sphere (where (x-x0)**2 + (z-z0)**2 <= R**2)\n",
"sphere_ind = (mesh.gridCC[:,0]**2 + (mesh.gridCC[:,2] - sphere_z)**2) <= sphere_radius**2 \n",
"sigma[sphere_ind] = sig_sphere # assign the conductivity of the sphere"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AJ5Pclmabgakku1bVRcB9B6ncDSAlSdJyeQ2wgWYW0nHABcARwG2BBwDHJPkk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\nJWNRwPtsAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot a cross section of the conductivity model\n",
"fig, ax = plt.subplots(1,1)\n",
"cb = plt.colorbar(mesh.plotImage(np.log10(sigma), ax=ax, mirror=True)[0])\n",
"\n",
"# plot formatting and titles\n",
"cb.set_label('$\\log_{10}\\sigma$', fontsize=13)\n",
"ax.axis('equal')\n",
"ax.set_xlim([-120., 120.])\n",
"ax.set_ylim([-100., 30.])\n",
"ax.set_title('Conductivity Model')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Set up the Survey\n",
"\n",
"Here, we define sources and receivers. For this example, the receivers are magnetic flux recievers, and are only looking at the secondary field (eg. if a bucking coil were used to cancel the primary). The source is a vertical magnetic dipole with unit moment. "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# Define the receivers, we will sample the real secondary magnetic flux density \n",
"# as well as the imaginary magnetic flux density \n",
"\n",
"bz_r = FDEM.Rx.Point_bSecondary(locs=rx_loc, orientation='z', component='real') # vertical real b-secondary\n",
"bz_i = FDEM.Rx.Point_b(locs=rx_loc, orientation='z', component='imag') # vertical imag b (same as b-secondary)\n",
"\n",
"rxList = [bz_r, bz_i] # list of receivers"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There are 25 sources (same as the number of frequencies - 25). Each source has 2 receivers sampling the resulting b-fields\n"
]
}
],
"source": [
"# Define the list of sources - one source for each frequency. \n",
"# The source is a point dipole oriented in the z-direction\n",
"\n",
"srcList = [FDEM.Src.MagDipole(rxList, f, src_loc, orientation='z') for f in freqs]\n",
"\n",
"print(\n",
" 'There are {nsrc} sources (same as the number of frequencies - {nfreq}). '\n",
" 'Each source has {nrx} receivers sampling the resulting b-fields'.format(\n",
" nsrc = len(srcList), \n",
" nfreq = len(freqs),\n",
" nrx = len(rxList)\n",
" )\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Set up Forward Simulation \n",
"\n",
"A forward simulation consists of a paired SimPEG problem and Survey. For this example, we use the E-formulation of Maxwell's equations, solving the second-order system for the electric field, which is defined on the cell edges of the mesh. This is the `prob` variable below. The `survey` takes the source list which is used to construct the RHS for the problem. The source list also contains the receiver information, so the `survey` knows how to sample fields and fluxes that are produced by solving the `prob`.\n",
"\n",
"\n",
"\n",
"**An Aside: Mappings** \n",
"\n",
"The `sigmaMap` defines a [mapping](http://dev-docs.simpeg.xyz/content/api_core/api_Maps.html) which translates an input vector to a physical property - specifically, $\\sigma$. This comes in handy when you want to invert for $\\log(\\sigma)$, in that case, the model is defined in terms of log-conductivity, and you would need an `ExpMap` to translate $\\log(\\sigma) \\to \\sigma$"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# define a problem - the statement of which discrete pde system we want to solve\n",
"prob = FDEM.Problem3D_e(mesh, sigmaMap=Maps.IdentityMap(mesh)) \n",
"prob.solver = Solver\n",
"\n",
"survey = FDEM.Survey(srcList)\n",
"\n",
"# tell the problem and survey about each other - so the RHS can be constructed \n",
"# for the problem and the resulting fields and fluxes can be sampled by the receiver. \n",
"prob.pair(survey) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Solve the forward simulation \n",
"\n",
"Here, we solve the problem for the fields everywhere on the mesh."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"solving 25 FDEM forward problems...\n",
"... done\n",
"CPU times: user 2.42 s, sys: 153 ms, total: 2.57 s\n",
"Wall time: 1.43 s\n"
]
}
],
"source": [
"%%time\n",
"print('solving {nfreq} FDEM forward problems...'.format(nfreq=len(freqs)))\n",
"\n",
"fields = prob.fields(sigma)\n",
"\n",
"print('... done')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the fields\n",
"\n",
"Lets look at the physics!"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# log-scale the colorbar\n",
"from matplotlib.colors import LogNorm \n",
"import ipywidgets"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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rifgHfkNLnFycaDHgK5ZdnESJ6oWZ3m0JfSuN4daZpAlfuXm60rTfV6y6N5fh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lVoeHHnfnY9vojVsyaz7I9dBhYuUUXJ1M3YSKbX4OQkLORyBnq6czIuTk8eo9DIoERdF51UkzvH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YLWqVOhLYVSWgoUKa7FXYIFCREkCcRD3H33/v7YyN3N3s3dJFC+v8++n+c8e/fuzJlzz16Z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K++pjRtWfiWPWtEzaPoi0zqn0zwfI2mcAzu64RP8yY4iJimHptRnU6VpNP109+PjCj7H1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\nqrb4kaZTIAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def plot_bSecondary(\n",
" freq_ind=0, # which frequency would you like to look at?\n",
" reim='real' # real or imaginary part\n",
"# ax=ax\n",
"):\n",
" fig, ax = plt.subplots(1,1, figsize=(6,5))\n",
" \n",
" # Plot the magnetic flux\n",
" field_to_plot = getattr(fields[srcList[freq_ind], 'bSecondary'], reim) \n",
" max_field = np.abs(field_to_plot).max() #use to set colorbar limits\n",
" cb_range = 5e2 # dynamic range of colorbar\n",
" \n",
" cb = plt.colorbar(mesh.plotImage(\n",
" field_to_plot, \n",
" vType='F', view='vec', \n",
" range_x=[-120., 120.], range_y=[-180., 80.],\n",
" pcolorOpts={\n",
" 'norm': LogNorm(), \n",
" 'cmap': plt.get_cmap('viridis')\n",
" },\n",
" streamOpts={'color': 'w'}, mirror=True, ax=ax, \n",
" clim=[max_field/cb_range, max_field]\n",
" )[0], ax=ax)\n",
"\n",
" ax.set_xlim([-120., 120.])\n",
" ax.set_ylim([-180., 70.])\n",
" cb.set_label('|B {reim}|'.format(reim=reim))\n",
"\n",
" # plot the outline of the sphere\n",
" x = np.linspace(-sphere_radius, sphere_radius, 100)\n",
" ax.plot(x, np.sqrt(sphere_radius**2 - x**2) + sphere_z, color='k')\n",
" ax.plot(x, -np.sqrt(sphere_radius**2 - x**2) + sphere_z, color='k')\n",
"\n",
" # plot the source and receiver locations\n",
" ax.plot(src_loc[0],src_loc[2],'co', markersize=6)\n",
" ax.plot(rx_loc[0,0],rx_loc[0,2],'mo', markersize=6)\n",
"\n",
" # plot the surface of the earth\n",
" ax.plot(np.r_[-200, 200], np.r_[0., 0.], 'w:')\n",
"\n",
" # give it a title\n",
" ax.set_title(\n",
" 'B {reim}, {freq:10.2f} Hz'.format(\n",
" reim=reim, \n",
" freq=freqs[freq_ind]\n",
" )\n",
" )\n",
" plt.show()\n",
" return ax\n",
"\n",
"ipywidgets.interact(\n",
" plot_bSecondary, \n",
" freq_ind=ipywidgets.IntSlider(min=0, max=len(freqs)-1, value=0), \n",
" reim=ipywidgets.ToggleButtons(options=['real', 'imag'])\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Take the ratio with the primary field\n",
"\n",
"If simulating a DIGHEM survey, for example, the data are provided as the ratio of the secondary field with the primary as measured at the receiver in free space. \n",
"\n",
"In what follows, we set calculate the primary field at the receiver, calcuate the secondary magnetic fields measured by the receiver (**dpred**) and then take the ratio with the primary. "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# Primary Field at receiver\n",
"rx = rxList[0]\n",
"P = rx.getP(mesh, 'Fz')\n",
"bprimary = fields[srcList[1], 'bPrimary']\n",
"b0 = P*bprimary\n",
"b0 = b0[0][0].real"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"dpred = survey.dpred(sigma, f=fields)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"# reshape the data vector by sources and receivers\n",
"dpred_reshaped = dpred.reshape((len(rxList), len(srcList)), order='F').T\n",
"dpred_real = dpred_reshaped[:,0]\n",
"dpred_imag = dpred_reshaped[:,1]"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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REZGkXnwRNm2CqVNVmGRVWaI4Aeri3Z5xocdLofbReGuf1ALaA8WBLXhFydPO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\nzN4zs38BmFkVoBwwO0nGPcA3wGVhziA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LCjlcfxiAtIQ0RvQeQW6fXC4eerH3vHcuI3qP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\nRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot\n",
"fig, ax = plt.subplots(1,1)\n",
"\n",
"ax.semilogx(freqs, dpred_real/b0*1e6)\n",
"ax.semilogx(freqs, dpred_imag/b0*1e6)\n",
"ax.grid(True, color='k',linestyle=\"-\", linewidth=0.1)\n",
"\n",
"ax.legend(['real','imag'], loc='best')\n",
"# ax.set_title('Sounding over Sphere')\n",
"ax.set_ylabel('magnetic field (ppm of primary)')\n",
"ax.set_xlabel('frequency (Hz)')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
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