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@sgkang
Last active August 29, 2015 14:03
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DCexample
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<p>The goal of geophysical inversions is to <em>image the subsurface </em>of the earth (without digging anything up!!). The realization of this goal can be hard because it requires a deep understanding in several disciplines including geology, physics, math, and computer science. Due to the diversity required to complete an inversion, geophysical researchers are susceptible to get ‘lost’ on their way to realizing their <b>geophysical ideas</b>. Researchers are always having new ideas; however, most of them are not realized in the world, because of the difficulties in communication among many disciplines in an organized way.</p>
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<p>Ideas are fickle and, in my experience, only stick with you for a short amount of time with any sort of clarity. Ideas need to be incubated in the proper environment if they are to be realized in the world. The motivation behind SimPEG (Simulation and Parameter Estimation in Geophysics) is to provide a toolbox and a framework such that geophysical researchers can realize their ideas quickly and efficiently. In this way we hope that researchers won’t lose the momentum of their geophysical curiosity and perhaps realize a few more ideas!</p>
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<p>In order to show some of the capabilities of SimPEG we will show an example of simulating physics, which is a fundamental step in any geophysical inversion. Sometimes, geophysicists go to the field and hook up a battery to the ground. They then use a voltmeter to measure the response from the earth on the ground surface.</p>
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<p>This geophysical survey called a direct current (DC) resistivity survey, and it is one of the most used geophysical methods in environmental engineering and the mining industry. Amazingly, <em>with the proper application of geophysical inversions</em> to the measured DC resistivity data, we can restore the resistivity distribution and image the subsurface of the earth. In this example, we simulate the physics in DC resistivity survey, and show how different disciplines including math, physics and computer science can be connected intuitively through SimPEG's toolbox.</p>
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<h2 id="Example:-DC-resistivity-survey">Example: DC resistivity survey<a class="anchor-link" href="#Example:-DC-resistivity-survey">&#182;</a></h2>
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<div class="highlight"><pre><span class="kn">from</span> <span class="nn">SimPEG</span> <span class="kn">import</span> <span class="n">Mesh</span><span class="p">,</span> <span class="n">Utils</span><span class="p">,</span> <span class="n">Solver</span>
<span class="kn">import</span> <span class="nn">scipy</span>
<span class="o">%</span><span class="k">pylab</span> <span class="n">inline</span>
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Populating the interactive namespace from numpy and matplotlib
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<h3 id="Bring-the-earth-into-your-computer-and-represent-it-as-numbers:-discretization-(mesh)">Bring the earth into your computer and represent it as numbers: discretization (mesh)<a class="anchor-link" href="#Bring-the-earth-into-your-computer-and-represent-it-as-numbers:-discretization-(mesh)">&#182;</a></h3>
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<div class="highlight"><pre><span class="n">cs</span> <span class="o">=</span> <span class="mi">5</span>
<span class="n">hx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">250</span><span class="p">)</span><span class="o">*</span><span class="n">cs</span>
<span class="n">hy</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">250</span><span class="p">)</span><span class="o">*</span><span class="n">cs</span>
<span class="n">mesh</span> <span class="o">=</span> <span class="n">Mesh</span><span class="o">.</span><span class="n">TensorMesh</span><span class="p">([</span><span class="n">hx</span><span class="p">,</span> <span class="n">hy</span><span class="p">],</span> <span class="s">&#39;C0&#39;</span><span class="p">)</span>
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<div class="highlight"><pre><span class="n">m</span> <span class="o">=</span> <span class="n">Mesh</span><span class="o">.</span><span class="n">TensorMesh</span><span class="p">([</span><span class="mi">10</span><span class="p">,</span> <span class="mi">10</span><span class="p">],</span> <span class="s">&#39;CC&#39;</span><span class="p">)</span>
<span class="n">fig</span><span class="p">,</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span> <span class="n">figsize</span> <span class="o">=</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">))</span>
<span class="n">m</span><span class="o">.</span><span class="n">plotGrid</span><span class="p">(</span><span class="n">nodes</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">faces</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">centers</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">ax</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">legend</span><span class="p">((</span><span class="s">&#39;nodes&#39;</span><span class="p">,</span> <span class="s">&#39;cell-center&#39;</span><span class="p">,</span> <span class="s">&#39;x-face&#39;</span><span class="p">,</span> <span class="s">&#39;y-face&#39;</span><span class="p">),</span> <span class="n">loc</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
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<h3 id="Discipline-#1:-Maxwell's-quations-in-steady-state-(Physics)">Discipline #1: Maxwell's quations in steady state (Physics)<a class="anchor-link" href="#Discipline-#1:-Maxwell's-quations-in-steady-state-(Physics)">&#182;</a></h3>
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<h3 id="nabla-cdot-sigma-nabla-phi--q"><span class="math">\(\nabla \cdot \sigma \nabla \phi = -q\)</span></h3>
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<h3 id="Discipline-#2:-In-discretized-space-(Finite-volume-Discretization)">Discipline #2: In discretized space (Finite volume Discretization)<a class="anchor-link" href="#Discipline-#2:-In-discretized-space-(Finite-volume-Discretization)">&#182;</a></h3>
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<h3 id="mathbfa-mathbfdiv-mathbfdiagmathbfav_ccf-tmathbfsigmamathbfgrad"><span class="math">\(\mathbf{A} = \mathbf{Div} \ \mathbf{diag}(\mathbf{Av}_{cc}^{F \ T}\mathbf{\sigma})\mathbf{Grad}\)</span></h3>
<h3 id="mathbfaphi--mathbfq"><span class="math">\(\mathbf{A}\phi = -\mathbf{q}\)</span></h3>
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<h3 id="Discipline-#3:-Code">Discipline #3: Code<a class="anchor-link" href="#Discipline-#3:-Code">&#182;</a></h3>
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<div class="highlight"><pre><span class="n">Div</span> <span class="o">=</span> <span class="n">mesh</span><span class="o">.</span><span class="n">faceDiv</span>
<span class="n">Grad</span> <span class="o">=</span> <span class="n">mesh</span><span class="o">.</span><span class="n">cellGrad</span>
<span class="n">vol</span> <span class="o">=</span> <span class="n">mesh</span><span class="o">.</span><span class="n">vol</span>
<span class="n">AvF2CC</span> <span class="o">=</span> <span class="n">mesh</span><span class="o">.</span><span class="n">aveF2CC</span>
<span class="n">sigma</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">mesh</span><span class="o">.</span><span class="n">nC</span><span class="p">)</span><span class="o">*</span><span class="mf">1e-2</span>
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<div class="highlight"><pre><span class="n">getA</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">sigma</span><span class="p">:</span> <span class="n">Div</span><span class="o">*</span><span class="p">(</span><span class="n">Utils</span><span class="o">.</span><span class="n">sdiag</span><span class="p">(</span><span class="n">AvF2CC</span><span class="o">.</span><span class="n">T</span><span class="o">*</span><span class="n">sigma</span><span class="p">))</span><span class="o">*</span><span class="n">Grad</span>
<span class="n">A</span> <span class="o">=</span> <span class="n">getA</span><span class="p">(</span><span class="n">sigma</span><span class="p">)</span>
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<div class="highlight"><pre><span class="n">q</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">mesh</span><span class="o">.</span><span class="n">nC</span><span class="p">)</span>
<span class="n">inds</span> <span class="o">=</span> <span class="n">Utils</span><span class="o">.</span><span class="n">closestPoints</span><span class="p">(</span><span class="n">mesh</span><span class="p">,[[</span><span class="o">-</span><span class="mi">400</span><span class="p">,</span> <span class="mi">1200</span><span class="p">],[</span><span class="mi">400</span><span class="p">,</span><span class="mi">1200</span><span class="p">]])</span>
<span class="n">q</span><span class="p">[</span><span class="n">inds</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="mf">1.</span><span class="p">,</span> <span class="o">+</span><span class="mi">1</span><span class="p">]</span>
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<p>Those three different disciplines including physics, math (discretization) and computer science (code) can be intuitevely connected through SimPEG's toolbox. In my experience, this is awesome to test your rough ideas really fast.</p>
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<h3 id="Compute-responses-for-homgeneous-earth">Compute responses for homgeneous earth<a class="anchor-link" href="#Compute-responses-for-homgeneous-earth">&#182;</a></h3>
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<div class="highlight"><pre><span class="n">phi_half</span> <span class="o">=</span> <span class="n">Solver</span><span class="p">(</span><span class="n">A</span><span class="p">)</span><span class="o">*-</span><span class="n">q</span>
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<div class="highlight"><pre><span class="n">fig</span><span class="p">,</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span> <span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span><span class="mi">7</span><span class="p">))</span>
<span class="n">dat</span> <span class="o">=</span> <span class="n">mesh</span><span class="o">.</span><span class="n">plotImage</span><span class="p">(</span><span class="n">Grad</span><span class="o">*</span><span class="p">(</span><span class="n">phi_half</span><span class="p">),</span> <span class="n">vType</span><span class="o">=</span><span class="s">&#39;F&#39;</span><span class="p">,</span> <span class="n">view</span> <span class="o">=</span> <span class="s">&#39;vec&#39;</span><span class="p">,</span> <span class="n">streamOpts</span><span class="o">=</span><span class="p">{</span><span class="s">&#39;color&#39;</span><span class="p">:</span> <span class="s">&#39;w&#39;</span><span class="p">},</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">ax</span><span class="p">)</span>
<span class="n">cb</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">colorbar</span><span class="p">(</span><span class="n">dat</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
<span class="n">cb</span><span class="o">.</span><span class="n">set_label</span><span class="p">(</span><span class="s">&#39;Electric field (V/m)&#39;</span><span class="p">,</span> <span class="n">fontsize</span> <span class="o">=</span> <span class="mi">14</span><span class="p">)</span>
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<h3 id="Compute-responses-for-heterogenous-earth:-a-python-embedded-in-a-resistive-circle">Compute responses for heterogenous earth: a python embedded in a resistive circle<a class="anchor-link" href="#Compute-responses-for-heterogenous-earth:-a-python-embedded-in-a-resistive-circle">&#182;</a></h3>
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In&nbsp;[14]:
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<div class="highlight"><pre><span class="n">img</span> <span class="o">=</span> <span class="n">scipy</span><span class="o">.</span><span class="n">misc</span><span class="o">.</span><span class="n">imread</span><span class="p">(</span><span class="s">&#39;SciPy_2014.png&#39;</span><span class="p">)</span>
<span class="n">sigma_scipy</span> <span class="o">=</span> <span class="n">Utils</span><span class="o">.</span><span class="n">mkvc</span><span class="p">(</span><span class="n">img</span><span class="p">[:,:,</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="nb">float</span><span class="p">))</span><span class="o">*</span><span class="mf">1e-2</span> <span class="o">+</span> <span class="mf">1e-2</span>
<span class="n">fig</span><span class="p">,</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span> <span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span><span class="mi">7</span><span class="p">))</span>
<span class="n">dat</span> <span class="o">=</span> <span class="n">mesh</span><span class="o">.</span><span class="n">plotImage</span><span class="p">(</span><span class="n">sigma_scipy</span><span class="p">,</span><span class="n">ax</span><span class="o">=</span><span class="n">ax</span><span class="p">)</span>
<span class="n">cb</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">colorbar</span><span class="p">(</span><span class="n">dat</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
<span class="n">cb</span><span class="o">.</span><span class="n">set_label</span><span class="p">(</span><span class="s">&#39;Conductivity (S/m)&#39;</span><span class="p">,</span> <span class="n">fontsize</span> <span class="o">=</span> <span class="mi">14</span><span class="p">)</span>
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<div class="highlight"><pre><span class="n">A</span> <span class="o">=</span> <span class="n">getA</span><span class="p">(</span><span class="n">sigma_scipy</span><span class="p">)</span>
<span class="n">phi_scipy</span> <span class="o">=</span> <span class="n">Solver</span><span class="p">(</span><span class="n">A</span><span class="p">)</span> <span class="o">*</span> <span class="o">-</span><span class="n">q</span>
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In&nbsp;[16]:
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<div class="highlight"><pre><span class="n">fig</span><span class="p">,</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span> <span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span><span class="mi">7</span><span class="p">))</span>
<span class="c"># dat = mesh.plotImage(phi, ax = ax)</span>
<span class="n">dat</span> <span class="o">=</span> <span class="n">mesh</span><span class="o">.</span><span class="n">plotImage</span><span class="p">(</span><span class="n">Grad</span><span class="o">*</span><span class="p">(</span><span class="n">phi_scipy</span><span class="p">),</span> <span class="n">vType</span><span class="o">=</span><span class="s">&#39;F&#39;</span><span class="p">,</span> <span class="n">view</span> <span class="o">=</span> <span class="s">&#39;vec&#39;</span><span class="p">,</span> <span class="n">streamOpts</span><span class="o">=</span><span class="p">{</span><span class="s">&#39;color&#39;</span><span class="p">:</span> <span class="s">&#39;w&#39;</span><span class="p">},</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">ax</span><span class="p">)</span>
<span class="n">cb</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">colorbar</span><span class="p">(</span><span class="n">dat</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
<span class="n">cb</span><span class="o">.</span><span class="n">set_label</span><span class="p">(</span><span class="s">&#39;Electric field (V/m)&#39;</span><span class="p">,</span> <span class="n">fontsize</span> <span class="o">=</span> <span class="mi">14</span><span class="p">)</span>
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<p>Look some distortions in the electric field of the earth due to a python! By measuring this perturbed electric fields on the surface, we can potentially recover conductivity distribution of the earth. Doing a geophysical inversion is still a bit more work (maybe for the next blog article?), but simulating the fields is a crucial first step! The goal of SimPEG is that you can move fast, and the process is interactive so you can get rapid feedback on your ideas. There might not actually be pythons is the subsurface, but it is good that it doesn’t take too long to check…!</p>
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<p>Note: This article is written for 2014 <a href="http://fallmeeting.agu.org/2014/">AGU Fall meeting</a></p>
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Contacts for other authors
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<li>
Rowan Cockett: <a href="mailto:rowanc1@gmail.com">rowanc1@gmail.com</a>
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"The goal of geophysical inversions is to <em>image the subsurface </em>of the earth (without digging anything up!!). The realization of this goal can be hard because it requires a deep understanding in several disciplines including geology, physics, math, and computer science. Due to the diversity required to complete an inversion, geophysical researchers are susceptible to get \u2018lost\u2019 on their way to realizing their <b>geophysical ideas</b>. Researchers are always having new ideas; however, most of them are not realized in the world, because of the difficulties in communication among many disciplines in an organized way."
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"Ideas are fickle and, in my experience, only stick with you for a short amount of time with any sort of clarity. Ideas need to be incubated in the proper environment if they are to be realized in the world. The motivation behind SimPEG (Simulation and Parameter Estimation in Geophysics) is to provide a toolbox and a framework such that geophysical researchers can realize their ideas quickly and efficiently. In this way we hope that researchers won\u2019t lose the momentum of their geophysical curiosity and perhaps realize a few more ideas!"
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"In order to show some of the capabilities of SimPEG we will show an example of simulating physics, which is a fundamental step in any geophysical inversion. Sometimes, geophysicists go to the field and hook up a battery to the ground. They then use a voltmeter to measure the response from the earth on the ground surface. "
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"This geophysical survey called a direct current (DC) resistivity survey, and it is one of the most used geophysical methods in environmental engineering and the mining industry. Amazingly, <em>with the proper application of geophysical inversions</em> to the measured DC resistivity data, we can restore the resistivity distribution and image the subsurface of the earth. In this example, we simulate the physics in DC resistivity survey, and show how different disciplines including math, physics and computer science can be connected intuitively through SimPEG's toolbox.\n"
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"Example: DC resistivity survey"
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"cs = 5\n",
"hx = np.ones(250)*cs\n",
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"mesh = Mesh.TensorMesh([hx, hy], 'C0')"
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"language": "python",
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"m = Mesh.TensorMesh([10, 10], 'CC')\n",
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ahkQiyZIlSd98giCEQ21tEstK+uaTdawhUFubTPPmA1IpRfX4GphTAskSmFNC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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0xa216a58>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Discipline #1: Maxwell's quations in steady state (Physics)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<center>\n",
"###$\\nabla \\cdot \\sigma \\nabla \\phi = -q$"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Discipline #2: In discretized space (Finite volume Discretization)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<center>\n",
"###$\\mathbf{A} = \\mathbf{Div} \\ \\mathbf{diag}(\\mathbf{Av}_{cc}^{F \\ T}\\mathbf{\\sigma})\\mathbf{Grad}$\n",
"###$\\mathbf{A}\\phi = -\\mathbf{q}$"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Discipline #3: Code"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Div = mesh.faceDiv\n",
"Grad = mesh.cellGrad\n",
"vol = mesh.vol\n",
"AvF2CC = mesh.aveF2CC\n",
"sigma = np.ones(mesh.nC)*1e-2"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"getA = lambda sigma: Div*(Utils.sdiag(AvF2CC.T*sigma))*Grad\n",
"A = getA(sigma)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"q = np.zeros(mesh.nC)\n",
"inds = Utils.closestPoints(mesh,[[-400, 1200],[400,1200]])\n",
"q[inds] = [-1., +1]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Those three different disciplines including physics, math (discretization) and computer science (code) can be intuitevely connected through SimPEG's toolbox. In my experience, this is awesome to test your rough ideas really fast. "
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Compute responses for homgeneous earth"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"phi_half = Solver(A)*-q"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots(1,1, figsize=(10,7))\n",
"dat = mesh.plotImage(Grad*(phi_half), vType='F', view = 'vec', streamOpts={'color': 'w'}, ax = ax)\n",
"cb = plt.colorbar(dat[0])\n",
"cb.set_label('Electric field (V/m)', fontsize = 14)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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fecf7WFU7d87ngw9OsGJFrsM538hTdLSCdesuprq6lVtu2YdO5+gcxb4dT8iT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IGhoTr5+SVcupSKg4PRS8IIoLi47LmlpKTi3+Xcv59NYWHpU1EUEZHxnEiqrxY/ITRposH//V8n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\nf7I/3rqmumegAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1157d4a8>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Compute responses for heterogenous earth: a python embedded in a resistive circle"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"img = scipy.misc.imread('SciPy_2014.png')\n",
"sigma_scipy = Utils.mkvc(img[:,:,0].astype(float))*1e-2 + 1e-2\n",
"fig, ax = plt.subplots(1,1, figsize=(10,7))\n",
"dat = mesh.plotImage(sigma_scipy,ax=ax)\n",
"cb = plt.colorbar(dat[0])\n",
"cb.set_label('Conductivity (S/m)', fontsize = 14)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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aETUM3sG+vKYxRV/ie0SdHN4CZgEbAy+2vVbpKWDqwHw/mGaAdW17hS9dU1xf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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x11585ac8>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"A = getA(sigma_scipy)\n",
"phi_scipy = Solver(A) * -q"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots(1,1, figsize=(10,7))\n",
"# dat = mesh.plotImage(phi, ax = ax)\n",
"dat = mesh.plotImage(Grad*(phi_scipy), vType='F', view = 'vec', streamOpts={'color': 'w'}, ax = ax)\n",
"cb = plt.colorbar(dat[0])\n",
"cb.set_label('Electric field (V/m)', fontsize = 14)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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1vPDCGQoLddTWCuECamsNqFTt11QcFCQmPFxqkyQNtq0BT8PCpHTqJCMxMYDE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\nYBITzRw4UMHev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CLqLdTUHqjRhCHAGdT071lnvb/rKFKvlxmouGjzABMwAGUjsY36nZSg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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xa47c518>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Look some distortions in the electric field of the earth due to a python! By measuring this perturbed electric fields on the surface, we can potentially recover conductivity distribution of the earth. Doing a geophysical inversion is still a bit more work (maybe for the next blog article?), but simulating the fields is a crucial first step! The goal of SimPEG is that you can move fast, and the process is interactive so you can get rapid feedback on your ideas. There might not actually be pythons is the subsurface, but it is good that it doesn\u2019t take too long to check\u2026!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note: This article is written at 2014 <a href=\"https://conference.scipy.org/scipy2014/\">Scipy Conference</a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Contacts for other authors\n",
"<ul>\n",
"<li>Rowan Cockett: <a href=\"mailto:rowanc1@gmail.com\">rowanc1@gmail.com</a></li>"
]
}
],
"metadata": {}
}
]
}
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