{ "metadata": { "name": "", "signature": "sha256:c9a78fda1bd1a836347cd3a9f319f896776bbfc91203e71955f82a7a4b055417" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using Fatiando a Terra to solve inverse problems in geophysics\n", "\n", "by [Leonardo Uieda](http://www.leouieda.com), [Vanderlei C. Oliviera Jr](http://fatiando.org/people/oliveira-jr), and [Val\u00e9ria C. F. Barbosa](http://lattes.cnpq.br/0391036221142471)\n", "\n", "\n", "This notebook has all the code to generate the results and figures in the [corresponding poster](https://github.com/leouieda/scipy2014). Here you'll find all you need to run a complete 2D non-linear gravity inversion with and without regularization. We use the inverse problems framework and forward modeling routines of [Fatiando a Terra](http://www.fatiando.org). \n", "\n", "**Note**: figures are optimized for the poster, so they may not look very nice in the notebook." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TL;DR:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from fatiando.gravmag import talwani\n", "from fatiando.mesher import Polygon\n", "from fatiando.inversion.base import Misfit\n", "\n", "class PolyBasin2D(Misfit):\n", " def __init__(self, x, z, gz, height, npoints, density):\n", " super(PolyBasin2D, self).__init__(\n", " data=gz, nparams=npoints, islinear=False,\n", " positional=dict(x=x, z=z), \n", " model=dict(height=height, \n", " props={'density': density}))\n", " \n", " def p2vertices(self, p):\n", " x, h = self.positional['x'], self.model['height']\n", " n = self.nparams + 2\n", " verts = np.empty((n, 2))\n", " verts[:, 0] = np.linspace(x.min(), x.max(), n)[::-1]\n", " verts[:, 1] = np.concatenate([[h], p, [h]])\n", " return verts\n", " \n", " def _get_predicted(self, p):\n", " x, z = self.positional['x'], self.positional['z']\n", " verts = self.p2vertices(p)\n", " poly = Polygon(verts, self.model['props'])\n", " return talwani.gz(x, z, [poly])\n", " \n", " def _get_jacobian(self, p): \n", " x, z = self.positional['x'], self.positional['z']\n", " verts = self.p2vertices(p)\n", " delta = np.array([0, 10])\n", " jac = np.zeros((self.ndata, self.nparams))\n", " for i in xrange(self.nparams):\n", " diff = Polygon([verts[i + 2], verts[i + 1] - delta, \n", " verts[i], verts[i + 1] + delta],\n", " self.model['props'])\n", " jac[:, i] = talwani.gz(x, z, [diff])/(2 * delta[1])\n", " return jac\n", " \n", " def fit(self):\n", " super(PolyBasin2D, self).fit()\n", " self._estimate = Polygon(self.p2vertices(self.p_), \n", " self.model['props'])\n", " return self" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above code creates the class that runs our inversion. That is it.\n", "\n", "Now that it's done, we can add a bit more functionality by implementing a Monte Carlo estimation of the covariance matrix and 99% (3$\\sigma$) confidence interval. This will be included in later versions of Fatiando a Terra." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def confidence(obj, n=10):\n", " \"Get a 99% confidence polygon from a Misfit object that has an estimate.\"\n", " dof = obj.ndata - obj.nparams\n", " # Estimate the variance factor\n", " variance = np.linalg.norm(obj.residuals(obj.p_))**2/dof\n", " noisefree = obj.predicted()\n", " backup = obj.data\n", " # Contaminate the data with Gaussian random noise\n", " # run the inverseion and store the solutions\n", " solutions = np.empty((n, obj.nparams))\n", " for i in range(n):\n", " obj.data = utils.contaminate(noisefree, np.sqrt(variance), seed=i)\n", " solutions[i, :] = np.copy(obj.fit().p_)\n", " obj.data = backup\n", " # Estimate the covariance matrix from the solutions\n", " A = solutions - np.mean(solutions, axis=0)\n", " cov = np.dot(A.T, A)/n\n", " # Make a 3sigma polygon\n", " std = np.sqrt(np.diagonal(cov))\n", " verts = np.concatenate([obj.p2vertices(obj.p_ - 3*std),\n", " obj.p2vertices(obj.p_ + 3*std)[1:-1][::-1]])\n", " return Polygon(verts)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Define the geophysical problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our goal is to **estimate the relief of the basement** of a sedimentary basin from its **gravity anomaly**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below is a fancy [xkcd](http://xkcd.com/) style plot that ilustrates the problem." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "from fatiando.vis import mpl\n", "from fatiando import utils" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "x_sketch = np.linspace(-10000, 110000, 100)\n", "verts_sketch = np.empty((100, 2))\n", "verts_sketch[:, 0] = np.linspace(0, 100000, 100)[::-1]\n", "verts_sketch[:, 1] = -1e-15*(verts_sketch[:, 0] - 50000)**4 + 8000\n", "verts_sketch[:, 1] -= verts_sketch[:, 1].min()\n", "sketch = Polygon(verts_sketch, {'density':-500})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "fontsize = 50\n", "labelsize = 28\n", "linewidth = 6\n", "tickpad = 15\n", "markersize = 15\n", "savefigrc = {'transparent': True, 'dpi': 600}" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "with mpl.xkcd():\n", " fig = mpl.figure(figsize=(13, 8))\n", " ax = fig.add_subplot(2, 1, 1)\n", " mpl.plot(x_sketch, talwani.gz(x_sketch, -100*np.ones_like(x_sketch), [sketch]), '-k', linewidth=linewidth)\n", " mpl.title('Gravity anomaly', fontsize=fontsize)\n", " mpl.xlabel(\"Earth surface\", fontsize=fontsize) \n", " mpl.ylim(-130, 0)\n", " mpl.xlim(x_sketch.min(), x_sketch.max())\n", " ax.set_yticklabels(['-%.0f' % (abs(i)) for i in ax.get_yticks()])\n", " ax.set_xticklabels([''])\n", " ax.set_xticks([])\n", " ax.spines['top'].set_visible(False)\n", " ax.spines['right'].set_visible(False)\n", " ax.spines['bottom'].set_visible(False)\n", " ax.spines['left'].set_linewidth(linewidth)\n", " ax.yaxis.set_ticks_position('left')\n", " ax.tick_params(labelsize=labelsize, pad=tickpad)\n", " \n", " ax = fig.add_subplot(2, 1, 2)\n", " mpl.polygon(sketch, fill='grey', alpha=0.4, linewidth=linewidth)\n", " mpl.text(50000, 4500, 'Sedimentary rocks\\n', fontsize=fontsize, horizontalalignment='center')\n", " mpl.text(50000, 9000, 'Basement rocks ', fontsize=fontsize, horizontalalignment='center')\n", " mpl.ylim(0, 10000)\n", " mpl.xlim(x_sketch.min(), x_sketch.max())\n", " mpl.m2km()\n", " ax.invert_yaxis()\n", " ax.spines['bottom'].set_visible(False) \n", " ax.spines['right'].set_visible(False) \n", " ax.spines['left'].set_linewidth(linewidth)\n", " ax.spines['top'].set_linewidth(linewidth)\n", " ax.yaxis.set_ticks_position('left')\n", " ax.set_xticks([])\n", " ax.tick_params(labelsize=labelsize, pad=tickpad)\n", " mpl.ylabel('depth', fontsize=labelsize)\n", " \n", " mpl.tight_layout()\n", " fig.savefig('sketch.png', **savefigrc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YmERyCXzfwqZPnz6sMf78809W0imvgiRT1ktZ+RabOX/+PO9elMrAl1wGBwfD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GA3PmzIG3tzcyMjIQHR3doG327NkT5ubmAGqibGvWrMGZM2eQmZkpcX2iVUJ8fLyIOYmmpqZY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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Choose a model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the inverse problem, we need to be able to predict what data would be observed if a given **model** of the basin was true. This requires describing the model in terms of **parameters**.\n", "\n", "The `fatiando.gravmag.talwani` module computes predicted data from 2D **polygon** models (`fatiando.mesher.Polygon`). A convenient parametrization is to evenly distribute nodes in the horizontal direction and describe the basin topography in terms of the **depths** of the nodes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets make another fancy plot for this." ] }, { "cell_type": "code", "collapsed": false, "input": [ "params_sketch = np.concatenate([verts_sketch[::20], [verts_sketch[-1]]]) + 100" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "with mpl.xkcd():\n", " mpl.figure(figsize=(13, 4))\n", " mpl.polygon(sketch, fill='grey', alpha=0.4, linewidth=linewidth)\n", " lines = mpl.polygon(Polygon(params_sketch), 'o-r', linewidth=1.5*linewidth)\n", " lines.set_markersize(1.5*markersize)\n", " for i, v in enumerate(params_sketch[1:-1]):\n", " xc, zc = v\n", " mpl.arrow(xc, 0, 0, zc - 300, color='k', width=100*linewidth, head_length=500, head_width=2000, \n", " length_includes_head=True, zorder=10)\n", " mpl.text(xc + 1000, 2500, r'$p_%d$' % (i + 1), fontsize=1.5*fontsize)\n", " mpl.ylim(0, 7000)\n", " mpl.xlim(x_sketch.min(), x_sketch.max())\n", " mpl.m2km()\n", " ax = mpl.gca()\n", " ax.invert_yaxis()\n", " ax.spines['bottom'].set_visible(False) \n", " ax.spines['right'].set_visible(False)\n", " ax.spines['left'].set_visible(False)\n", " ax.spines['top'].set_linewidth(linewidth) \n", " ax.spines['top'].zorder = 0\n", " ax.yaxis.set_ticks_position('left')\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", " ax.tick_params(labelsize=fontsize, pad=tickpad)\n", " mpl.tight_layout()\n", " mpl.savefig('parametrization.png', **savefigrc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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bsB46lNG9rwN4GbHta8XFxa06LkoMalm0MnfeeWfKa68DeDPD3y/5/nv0XLMm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\nMYO33nqLF154gcrKygbro6OjSUlJITExk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0qlEp1OV584x9/fv/5hkr+/P/7+/vj5+eHv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\n", "text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Method `_get_predicted` calculates the data predicted by the model for a given parameter vector (with the help of `p2vertices`):\n", "\n", " def p2vertices(self, p):\n", " n = self.nparams + 2\n", " vertices = np.empty((n, 2))\n", " x = self.positional['x']\n", " vertices[:, 0] = np.linspace(x.min(), x.max(), n)[::-1]\n", " h = self.model['height']\n", " vertices[:, 1] = np.concatenate([[h], p, [h]])\n", " return vertices\n", " \n", " def _get_predicted(self, p):\n", " x, z = self.positional['x'], self.positional['z']\n", " poly = Polygon(self.p2vertices(p), self.model['props'])\n", " return talwani.gz(x, z, [poly])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Formulate the estimation problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using an $\\ell_2$-norm misfit function:\n", "\n", "$$\n", "\\phi({\\bf p}) = \\left\\|{\\bf d}^o - {\\bf f}({\\bf p})\\right\\|_2^2,\n", "$$\n", "\n", "the Gauss-Newton iteration for the least-squares solution is\n", "\n", "$$\n", "{\\bf p^{k+1}} = \\left({\\bf A^k}^T{\\bf A^k}\\right)^{-1}{\\bf A^{k}}^T \\left({\\bf d}^o - {\\bf f}({\\bf p^k})\\right)\n", "$$\n", "\n", "Here is how this maps to the code:\n", "\n", "* $\\phi$ $\\to$ `Misfit`\n", "* ${\\bf f}({\\bf p})$ $\\to$ `Misfit._get_predicted(p)`\n", "* Jacobian matrix ${\\bf A}$ $\\to$ `Misfit._get_jacobian(p)`\n", "* Estimate ${\\bf p}$ $\\to$ `Misfit.config(...).fit()`\n", "\n", "Methods `Misfit._get_predicted` and `Misfit._get_jacobian` are all we need to implement to run the inversion.\n", "\n", "A smart way to calculate the Jacobian is through a finite difference approximation\n", "\n", "$$\n", "A_{i,j} = \\frac{\\partial f_i}{\\partial p_j} \\approx \n", "\\frac{f_i({\\bf p} + {\\bf u}^j \\Delta) - f_i({\\bf p} - {\\bf u}^j \\Delta)}{2\\Delta}\n", "$$\n", "\n", "in which \n", "\n", "$$\n", "u_k^j = \\begin{cases}\n", "0& \\text{if $k \\neq j$},\\\\\n", "1& \\text{if $k = j$}.\n", "\\end{cases}\n", "$$\n", "\n", "For potential fields, the [superposition principle](http://en.wikipedia.org/wiki/Superposition_principle) lets us do something like this: \n", "\n", " def _get_jacobian(self, p): \n", " x, z = self.positional['x'], self.positional['z']\n", " verts = self.p2vertices(p)\n", " delta = np.array([0, 10])\n", " jac = np.zeros((self.ndata, self.nparams))\n", " for i in xrange(self.nparams):\n", " diff = Polygon([verts[i + 2], verts[i + 1] - delta, \n", " verts[i], verts[i + 1] + delta],\n", " self.model['props'])\n", " jac[:, i] = talwani.gz(x, z, [diff])/(2 * delta[1])\n", " return jac\n", " \n", "Visually, this is what we're doing:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = np.zeros_like(params_sketch)\n", "i = 3\n", "u[i, 1] = 2000\n", "size = (8, 2.5)\n", "def boilerplate():\n", " mpl.ylim(0, 10000)\n", " mpl.xlim(x_sketch.min(), x_sketch.max())\n", " mpl.m2km()\n", " ax = mpl.gca()\n", " ax.invert_yaxis()\n", " ax.spines['bottom'].set_visible(False) \n", " ax.spines['right'].set_visible(False)\n", " ax.spines['left'].set_visible(False)\n", " ax.spines['left'].set_linewidth(linewidth)\n", " ax.spines['top'].set_linewidth(linewidth)\n", " ax.spines['top'].zorder = 0\n", " ax.yaxis.set_ticks_position('left')\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", " ax.tick_params(labelsize=fontsize, pad=tickpad)\n", " mpl.tight_layout()\n", "\n", "with mpl.xkcd():\n", " mpl.figure(figsize=size)\n", " lines = mpl.polygon(Polygon(params_sketch), 'o-k', linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " lines = mpl.polygon(Polygon(params_sketch + u), '.-g', fill='green', alpha=0.5, linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " mpl.text(50000, 2500, r'$\\mathbf{p} + \\mathbf{u}^j \\Delta$', \n", " horizontalalignment='center', verticalalignment='center', fontsize=0.75*fontsize)\n", " boilerplate()\n", " mpl.savefig('jacobian-1.png', **savefigrc)\n", " \n", " mpl.figure(figsize=size)\n", " lines = mpl.polygon(Polygon(params_sketch), 'o-k', linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " lines = mpl.polygon(Polygon(params_sketch - u), '.-b', fill='blue', alpha=0.5, linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " mpl.text(50000, 2000, r'$\\mathbf{p}\\, - \\mathbf{u}^j \\Delta$', \n", " horizontalalignment='center', verticalalignment='center', fontsize=0.75*fontsize)\n", " boilerplate()\n", " mpl.savefig('jacobian-2.png', **savefigrc)\n", " \n", " mpl.figure(figsize=size)\n", " lines = mpl.polygon(Polygon(params_sketch), 'o-k', linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " lines = mpl.polygon(Polygon(params_sketch + u), '.-g', fill='green', alpha=0.5, linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " lines = mpl.polygon(Polygon(params_sketch - u), '.-b', fill='blue', alpha=0.5, linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " boilerplate()\n", " mpl.savefig('jacobian-3.png', **savefigrc)\n", " \n", " mpl.figure(figsize=size)\n", " lines = mpl.polygon(Polygon(params_sketch), 'o-k', linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " lines = mpl.polygon(Polygon([params_sketch[i + 1], params_sketch[i] - u[i], \n", " params_sketch[i - 1], params_sketch[i] + u[i]]), \n", " '.-r', fill='red', alpha=0.5, linewidth=linewidth)\n", " lines.set_markersize(markersize) \n", " boilerplate()\n", " mpl.savefig('jacobian-4.png', **savefigrc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IYPz48YH7d+7cyZw5c1Ar1dzQ44YGiUto/uw1dnK2hG55SalOofClQvRafRgj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\nlQWVWluwVqsdqxUfEz/pOQEg1AgYYBK+d32vt+r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Nlhk4cDlr1sjyAI1FAkwju/POMURFLWPyZCdwdr1lSko6UFBQTFZWsoSYdq6y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\nvVu9hRQZ2XCZyEi1XEP8fig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yyo0Q/VCCDUQDQ6Au+5IA9hH/4b2Xqzls7NdzVDPRG+TMtQ868chKPvwgD9vg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\np1LmK+uxbQsh9n0SYIQANgc28/P//py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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Take it for a test drive" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below, we make some synthetic data to test our new method against." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 100000, 100)\n", "z = -100*np.ones_like(x)\n", "xs = np.linspace(0, 100000, 100)[::-1]\n", "depths = (-1e-15*(xs - 50000)**4 + 8000 \n", " - 3000*np.exp(-(xs - 70000)**2/(10000**2)))\n", "depths -= depths.min()\n", "density = -500\n", "model = Polygon(np.transpose([xs, depths]), {'density':density})\n", "gz = utils.contaminate(talwani.gz(x, z, [model]), 0.5, seed=10000)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# Makes a figure of the model and data in a way that fits nicely on the poster\n", "def plot_model():\n", " mpl.figure(figsize=(14, 6))\n", " mpl.subplot(2, 1, 1)\n", " mpl.ylabel('mGal', fontsize=fontsize)\n", " mpl.plot(x*0.001, gz, 'ok', markersize=markersize, linewidth=linewidth)\n", " mpl.ylabel('GA (mGal)', fontsize=labelsize)\n", " mpl.ylim(-130, 0)\n", " mpl.xlabel('x (km)', fontsize=labelsize)\n", " ax = mpl.gca()\n", " ax.xaxis.labelpad = -30\n", " ax.spines['left'].set_linewidth(linewidth)\n", " ax.spines['right'].set_visible(False)\n", " ax.spines['top'].set_visible(False)\n", " ax.spines['bottom'].set_linewidth(linewidth)\n", " ax.yaxis.set_ticks_position('left')\n", " ax.xaxis.set_ticks_position('bottom')\n", " ax.set_yticks(ax.get_yticks()[::2])\n", " ax.tick_params(labelsize=labelsize, pad=tickpad, width=linewidth, length=2*linewidth)\n", " \n", " mpl.subplot(2, 1, 2)\n", " lines = mpl.polygon(model, fill='grey', alpha=0.5, linewidth=linewidth)\n", " lines.set_markersize(markersize)\n", " mpl.ylim(0, 12000)\n", " mpl.m2km()\n", " ax = mpl.gca()\n", " ax.invert_yaxis()\n", " ax.set_xticklabels([''])\n", " mpl.ylabel('Depth (km)', fontsize=labelsize)\n", " ax.spines['left'].set_linewidth(linewidth)\n", " ax.spines['right'].set_visible(False)\n", " ax.spines['top'].set_linewidth(linewidth)\n", " ax.spines['bottom'].set_visible(False)\n", " ax.yaxis.set_ticks_position('left')\n", " ax.xaxis.set_ticks_position('top')\n", " ax.tick_params(labelsize=labelsize, pad=tickpad, width=linewidth, length=2*linewidth)\n", " \n", " mpl.tight_layout()\n", " mpl.subplots_adjust(hspace=0.28)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_model()\n", "mpl.savefig('synthetic.png', **savefigrc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9zjm1vT4M1FVPBuplys4KP3LkSHbs2MHKlSvr1gbXsUuSBjsTxWkwSY+WT548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\nQd0cW4FfAIUu9rsTmAOEeLwi9wQA64HrgHzAlhBvRkG9zr7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Fixd7ZNKW8PBwevXqRa9e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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": true, "input": [ "misfit = PolyBasin2D(x, z, gz, 0, 30, density)\n", "initial = 3000*np.ones(misfit.nparams)\n", "misfit.config('levmarq', initial=initial).fit()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "Misfit instance" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "misfit_conf = confidence(misfit, n=50)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_estimate(obj, conf):\n", " plot_model()\n", " mpl.subplot(2, 1, 1)\n", " mpl.plot(x*0.001, obj.predicted(), '-r', linewidth=linewidth)\n", " mpl.subplot(2, 1, 2)\n", " mpl.polygon(conf, '-b', linealpha=0, fill='blue', alpha=0.8, linewidth=linewidth)\n", " lines = mpl.polygon(obj.estimate_, 'o-r', linewidth=linewidth)\n", " lines.set_markersize(markersize)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_estimate(misfit, misfit_conf)\n", "mpl.text(70000, 11000, r'99% confidence', fontsize=labelsize, color='b')\n", "mpl.arrow(69000, 10500, -11000, 0, width=500, head_width=1000, head_length=2000, \n", " length_includes_head=True, color='k')\n", "mpl.savefig('estimate.png', **savefigrc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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J6dOns3z58gzepYiIiIiIdBetrVYKbgKwms51sJwOAZ8AnF3Rhw4dypQpU7j55ptZs2ZN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GC/YDzhdy3rZUmsRGMy6eTkqBgMOp9+2pa//OVUxo9vRWNj/PO3qioz//1vF4YM6cXu3TacTjXk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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Apply regularization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Those are terrible results! That is because geophysical inverse \n", "problems are ill-posed. The standard fix is to use Tikhonov \n", "regularization, like damping. In geophysics, we like the first-\n", "order Tikhonov regularization, a.k.a., smoothness.\n", "\n", "$$\n", "\\Gamma(\\mathbf{p}) = \\phi(\\mathbf{p}) + \\mu \\mathbf{p}^T\\mathbf{R}^T\\mathbf{R}\\mathbf{p}\n", "$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from fatiando.inversion.regularization import Smoothness1D\n", "solver = misfit + 1e-8*Smoothness1D(misfit.nparams)\n", "solver.config('levmarq', initial=initial).fit()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "Misfit instance" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "solver_conf = confidence(solver, n=50)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_estimate(solver, solver_conf)\n", "mpl.text(60000, 11000, \"99% confidence\\n(Believe me, it's there)\", fontsize=labelsize, color='b')\n", "mpl.arrow(59000, 9500, -10000, -3000, width=500, head_width=1000, head_length=2000, \n", " length_includes_head=True, color='k')\n", "mpl.savefig('estimate-regularized.png', **savefigrc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jXYqIiIiISE/R3NwMwLHA41jWrpdfAN9wfD106FAmTpzIrbfeypo1a/Ii3d0pmQbunwQe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aqhiIgcrhSoR4YNE5QeD/wQ4DFdgHWO45L1P74CdRERiSsffPABl112GVVVVZaPzc3NpXnz5kyY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\nafb5ffuKunaqpKhXT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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Extra credits: estimate the regularization parameter \n", "\n", "`fatiando.inversion` includes an `LCurve` class that estimates the optimal regularization parameter based on the L-curve criterion. It works as any other solver class, i.e. `lcurve.config(...).fit()`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from fatiando.inversion.regularization import LCurve\n", "lc = LCurve(misfit, Smoothness1D(misfit.nparams),\n", " [10**i for i in xrange(-15, -5)]) # List of regularization parameters to try\n", "lc.config('levmarq', initial=initial).fit()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "print(lc.regul_param_)\n", "lc.plot_lcurve()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1e-08\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "# This time I'll have to cheat and make a nicer plot of the L-curve by hand.\n", "mpl.figure(figsize=(8, 6))\n", "mpl.loglog(lc.dnorm, lc.mnorm, 'o-k', linewidth=linewidth, markersize=markersize)\n", "mpl.plot(lc.dnorm[lc.corner_], lc.mnorm[lc.corner_], '*r', markersize=2*markersize)\n", "mpl.ylabel('Smoothness', fontsize=labelsize)\n", "mpl.xlabel('Misfit', fontsize=labelsize)\n", "mpl.text(0.6, 1e8, r'$\\mu = 10^{-8}$', fontsize=fontsize)\n", "mpl.set_area([1e-1, 2, 2e6, 1e9])\n", "\n", "ax = mpl.gca() \n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False)\n", "ax.spines['bottom'].set_linewidth(linewidth)\n", "ax.spines['left'].set_linewidth(linewidth)\n", "ax.spines['right'].set_linewidth(linewidth)\n", "ax.spines['top'].set_linewidth(linewidth)\n", "ax.yaxis.set_ticks_position('left')\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.tick_params(labelsize=labelsize, pad=tickpad, width=linewidth, length=2*linewidth)\n", "ax.xaxis.labelpad = -10\n", "mpl.tight_layout()\n", "mpl.savefig('lcurve.png', **savefigrc)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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n/wCYTFhvZmWB66sJC+8dQNgyohpsoi3WsSWU3zU6vtoz4ZQnm812+VLPc+aV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\n", "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "lc_conf = confidence(lc.objectives[lc.corner_], n=50)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_estimate(lc.objectives[lc.corner_], lc_conf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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6ycAfIuvfoqPFGlhLt+iDhIV4FzY/BkuxLwb+irUYT0ROt2cLwq+F20lYKny8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