{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# 03 - Full-Waveform Inversion (FWI)\n", "\n", "This notebook is the third in a series of tutorial highlighting various aspects of seismic inversion based on Devito operators. In this second example we aim to highlight the core ideas behind seismic inversion, where we create an image of the subsurface from field recorded data. This tutorial follows on the modelling tutorial and will reuse the modelling and velocity model.\n", "\n", "## Inversion requirement\n", "\n", "Seismic inversion relies on two known parameters:\n", "\n", "- **Field data** - or also called **recorded data**. This is a shot record corresponding to the true velocity model. In practice this data is acquired as described in the first tutorial. In order to simplify this tutorial we will fake field data by modelling it with the true velocity model.\n", "\n", "- **Initial velocity model**. This is a velocity model that has been obtained by processing the field data. This model is a rough and very smooth estimate of the velocity as an initial estimate for the inversion. This is a necessary requirement for any optimization (method).\n", "\n", "## Inversion computational setup\n", "\n", "In this tutorial, we will introduce the gradient operator. This operator corresponds to the imaging condition introduced in the previous tutorial with some minor modifications that are defined by the objective function (also referred to in the tutorial series as the *functional*, *f*) and its gradient, *g*. We will define this two terms in the tutorial too.\n", "\n", "## Notes on the operators\n", "\n", "As we already describe the creation of a forward modelling operator, we will only call an wrapped function here. This wrappers already contains all the necessary operator for seismic modeling, imaging and inversion, however any new operator will be fully described and only used from the wrapper in the next tutorials." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "%matplotlib inline\n", "\n", "from devito import configuration\n", "configuration['log-level'] = 'WARNING'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computational considerations\n", "\n", "As we will see in this tutorial, FWI is again very computationally demanding, even more so than RTM. To keep this tutorial as light-wight as possible we therefore again use a very small demonstration model. We also define here a few parameters for the final example runs that can be changed to modify the overall runtime of the tutorial." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "nshots = 9 # Number of shots to create gradient from\n", "nreceivers = 101 # Number of receiver locations per shot \n", "fwi_iterations = 5 # Number of outer FWI iterations" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# True and smooth velocity models\n", "\n", "As before, we will again use a very simple model domain, consisting of a circle within a 2D domain. We will again use the \"true\" model to generate our synthetic shot data and use a \"smooth\" model as our initial guess. In this case the smooth model is very smooth indeed - it is simply a constant background velocity without any features." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from examples.seismic import demo_model, plot_velocity, plot_perturbation\n", "\n", "# Define true and initial model\n", "shape = (101, 101) # Number of grid point (nx, nz)\n", "spacing = (10., 10.) # Grid spacing in m. The domain size is now 1km by 1km\n", "origin = (0., 0.) # Need origin to define relative source and receiver locations\n", "\n", "model = demo_model('circle-isotropic', vp=3.0, vp_background=2.5,\n", " origin=origin, shape=shape, spacing=spacing, nbpml=40)\n", "\n", "model0 = demo_model('circle-isotropic', vp=2.5, vp_background=2.5,\n", " origin=origin, shape=shape, spacing=spacing, nbpml=40,\n", " grid = model.grid)\n", "\n", "plot_velocity(model)\n", "plot_velocity(model0)\n", "plot_perturbation(model0, model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Acquisition geometry\n", "\n", "In this tutorial, we will use the easiest case for inversion, namely a transmission experiment. The sources are located on one side of the model and the receivers on the other side. This allow to record most of the information necessary for inversion, as reflections usually lead to poor inversion results." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Define acquisition geometry: source\n", "from examples.seismic import AcquisitionGeometry\n", "\n", "t0 = 0.\n", "tn = 1000. \n", "f0 = 0.010\n", "# First, position source centrally in all dimensions, then set depth\n", "src_coordinates = np.empty((1, 2))\n", "src_coordinates[0, :] = np.array(model.domain_size) * .5\n", "src_coordinates[0, 0] = 20. # Depth is 20m\n", "\n", "\n", "# Define acquisition geometry: receivers\n", "\n", "# Initialize receivers for synthetic and imaging data\n", "rec_coordinates = np.empty((nreceivers, 2))\n", "rec_coordinates[:, 1] = np.linspace(0, model.domain_size[0], num=nreceivers)\n", "rec_coordinates[:, 0] = 980.\n", "\n", "# Geometry\n", "\n", "geometry = AcquisitionGeometry(model, rec_coordinates, src_coordinates, t0, tn, f0=f0, src_type='Ricker')\n", "# We can plot the time signature to see the wavelet\n", "geometry.src.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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Wnu2x/MB8FTgbmAM8Cny27r33srgVmsXB08ysamqJ4Scuev72+sTwLeZ+LpxYzeG2EXG5pLVIU1NujIiH697+KZCd1xbcbWtmVj2zp8PcqYvz2tbMn5S2t0oMXzGSzpb0SUkvA4iIRyPiiobASUScGRE3lDl2qZanpFV5fjb62yJi1LbRzfphWN2xuXLr4+7dcaw+r22t6zYjMXwgFo627O69uZs0JeVHkq4Efg38uszqKa10bHlKmiHpKEm3kTLT/xm4FLiONLH0Ukm7S1qh18qYmVmf1K+ssnBCVmL4QCxgYk+P0SQidiVNUdkcuAzYlbR6ynWSvi6p1PSUei2voqQZwLdImeavBX4DXA3cDzwFrASsDbwROAw4TNLhwLcj4uluK2RmZn1SNjE8sLBiQ2GKpO9/LB5fkvRq0gCh9wB7S7obOBP4FXBRRGRNiG13lS4BjgZ2j4jr2x1E0tJFRb5Mas1+LefkZqPVaOuq7Ub9Z3AX7jhWIjF8BbttlxARfwf+DhxcJEt4Hyl+/RZ4Algx5zjtgucrchPlFi3Nk4GTazdmzczMRrOIuAs4EjhS0otJKfyytAyeZTPM15X7VzflzMxsZI2HlieApFWApRu3R8RJucfoqnNb0hIDjeoyNXQquzpwBPB20gI45wN7RsQdJeuwN3AocFlEvKVMWbOaKnTP5mj1Od2da40GHTwl7QB8GJgBrALcAZwOfD0iHutQdg3SbcEtgJcCdwKnAIdGxBMdyq4EfB/YHliqxW7ZHz4reEpaBjgAeD8wtUm5yDmWpGWBC4FngJ2LcgcDF0l6bacPX3ecdYD9gPty9jczG7cmLcgeMFQbbTtge5EC5leAucBGwIHAFpLe3KohJmk5UmNrMilb0B2kZO4HAesBH+xw3mOA/wBmATfQYyqk3JbnD4GPAmcBv+jhpJ8E1gHWj4hbACRdA9wMfAr4TuZxfgScBKyPsySZmTVXNjH8cLw7Iu6ve32JpHnAcaQpJRe2KLcpKUhuFRHnFdsuKlqUe0laNiKebHPeLYHPR8TPeqt+knsVtwP2iojv93i+7YDLa4ETICJuk3QZabRTx+Ap6SPAdFKz//Qe62PjzHjpps3VeD3cjVshrRLDd0ySMNjg2hA4a2p5ZVdrU7TW1fpow/aHSbM81OHUDwNdjeVpJjc93zNA2+kqmTYkDRFuNAeY1qmwpBVJ90u/HBHz+lAfM7Pq6ZQYvs3KKguZ2NOjS5sVz+3izPmkXspvSJomaXlJWwKfB47KuO33A1LvZ1/k/sQ4FvgQ8Psez7cS8FCT7fPIm1vzTVLy3mNzTyhpN2C39OpFucXMzMauLhPD92m07cqSrqp7PSsiZrXauZhrORM4PyKuarVfRDwt6S3AaaQGV80xPH+FlFblvynp25KuJQXixlgUEZGdoyA3eH6VlBvwPODcJiclIn6ae9JuSPp34GPA9CJjRJbiL21WOsaU7HJmZmPW7OnpHmd9yxMW57dtkRg+oB8Dhh6IiBk5O0paHjgDWAB8vMO+S5PyCawC7EQaMLQxsH9RfvcO5bcGPk3Kzb5hk12CEgl+coPn60n3K1chjVZqdtKc4PkQzVuYrVqk9X4M/ASYW0xmhVT/icXrpyLimYw62Djj+5z5nJWoIrpMDD9MxSyOs0iDSDeLiLkdinyCNKBo3Yi4tdh2qaRHgFmSjoqIv7UpfwTwV1IrdWijbY8CHiT1F/dy0jk0j/jTSInm29mgeHy6yXsPAV8AvttlvczMqqU+gE6dmxk4Bz9gCEDSZOBU0lzPt0fEtRnFXgM8VBc4a64snjcA2gXPNUmjba8uW99mcq/Sq4AdIuLsHs93JvAtSetExD8AisVJNwX27lB2iybbvkua1Po54JYm75uZjV8lE8MPI8NQkWTnJNLUkW0j4vLMovcCK0pat37GBmlxEkirfrXzV9IKK32RGzxvBJbrw/mOJjWZz5C0H4v7mO8kdcsCIGlN4FZgZkTMBIiIixsPJulhYFKz98zMjFKJ4WHwGYZIo17fDxwCPCFpk7r35kbE3GYxgDRQ9IvA2ZIOId3znEEak/MX0pJj7ewJ/FTSDRFxRa8fIjd47g0cLunKiPhntyeLiCeKocVHACeQ5uVcQErP93jdriK1KHOn0piZWY+GlNt2m+J53+JR7yBStqElYkBE3F4E2gNJmelWJjW8ZgGHZKSIPZk05uZ/JT1K89G2r8j9ELnBcz/SYKGbJN3U4qSbLVlsSUUO2+077HM7nSe8EhGb55zTzMxGh4hYK2Of22kSAyLiOuADXZ76MlJvZ1/kBs+FpIFCZmOCR9j2ziNvx58h5bYdERGxYz+PlxU83cIzMxujSiSGB4Yy2nYkSNowIua0eX+HiDg193hZ9xQlTe3wflaXrZmZDVEtTd9W53ZMyweL73mOQHq+Yfhdq1gmaXvSCOBsuT8xzpW0aUQ83OSk/w78BlihzInN+s1dtYPjLtwxqIvE8BV3LXBeEcueG7cj6X3Az0lrfWbLHc36OPDbIj3Sc4o8g2eT5m+amdlo0GVi+Iq3PHcAHiPFsmUAJL2HtMzmDyNirzIHyw2e7wJeAvyymOCKpDeTAudvgb7eiDUzsx7UEsNPbgiS9YnhW1jAxJ4eo1Wx1md9LHsfcAopcf2eZY+XFTwj4gFga9I6mj+R9CbgHFKS+I+WSdRuZmYDNns6zJ2a8tnWmz8pbW+ZGD6l5+vlMZoVsewdwEak9IDHRMTnujlW9ictJqhuA1wCfJSU0PdDEbGwmxObmdmAdJkYfkhJEoZG0v4t3vpf0hqi99Xt058lyST9Z4u3ziRliDgP2FlS7awDXZLMzMxK6CoxfOUc2OH9+tFvfVuS7JgOZX/UcFIHTzOz0aRkYngYSm7bYZo8qAO3u5JrD+qkZmY2JCUSw1ctw9Agbyu2DJ69JIA3M7OxJ4a0nuewSHpBRDwziHJetcTMzJ5TsXmet0n6nKSsJD6SNpZ0OvDlTvu2GzD0V9LyML/OmYpSpD36Mmk9tsNzKmrWK2cVGr7Ga+6MQzaK7UlaN/QwSWcDfwD+BtwPPENaomwdYGPg3cWfj6fzmJ+27fPjSYtXHynplIyTbkZam/PI0h/PzMwGo0Ri+KpNVYmIU4qW5PbAJ4DDWXIQkYC7SOt9/jgibs45drt7nt+R9BNg1+Kkn2fJtdBECqRnAG+LiEtyTmpmZkNQS9M3dS5sOKfjVJWqBU+AiFhACownFylmpwNTgKWBB4EbIuK2ssdt+zMkIh4Bvg18W9IawCaNJwWu7OaGrJmZDVCXieGrNNq2UUQ8TUqQ0LMyGYbuAO7ox0nNzGyAOiWGH3/JEvrOV8/MrGpqieEnLnr+9vrE8E3mflZtqsog+SqZmVXN7OnpHmd9yxMW57dtmxi+ut22/eR5nmZmVVNLy3f3lMUrq2QkhofKzfMcGAdPM7Mqqg+gCydkBc5aer4qrufZb+O623YCi9iGW9iIe7ial3MO67LIvyfMrCq6SAxfVcVKYT+PiKf6cbxxeyUnsIhzOZE3chfL8ixPshRXsBpbsaMDqJlVR8nE8BUeMHQ0adrl8aRkCNf1crDsqyRpHeADwBqkeZ71IiI+0UtFhm0bbuGN3MUKPAvACjzLG7mLbbiF3/LKEa6dmdnIqPB9y1cBuwE7A5+V9L/AUcAvI+LZsgfLCp6S3gucQrpHeh8pq1C9jrlvR5uNuIdlef71WpZneR33Onia2bhU5dG2Rdq9L0n6CrAD8GngBOC7ko4FZuWm5oP8AUNfAy4GXh4RUyJi7YbHOqU+xShwNS/nSZZ63rYnWYq/suoI1cjMbORVfbRtRMyPiJ9HxGbANGAO8EXgBkkXSNoq5zi5wXMd4FsRcX931R19zmFdrmA1HmMpFgKPFfc8z2Hdka6amVn/TFoAG1+Zng0ASctJ2g04CXgrcC1wALA8cLakjksF5d7zvAF4SbcVHY0WMYGt2JFtuIXXcS9/ZVWPtjWzaukiMXyVp5tIeh3wKeAjwAuA04A9IuKyYpeDJR0IfA7ar3eYGzy/TOoXviIi/tFVrUehRUzgt7zS9zjNrHq6SAxf5dG2kq4EXg/cCRwGHNOiN/V3wP6djtduMexLGza9BLhe0s3AvIb3oug/NjOzkdZDYvixcN+ySw8A7wV+ExHtBrnOBtbrdLB2fZSLgIV1jxtJS7nc37B9YbGvmZmNBrXE8JMb7nPWJ4Yffw4GLmwWOIt7oG8GiIhnI+LWTgdrtxj25r3U0szMRogTwzfzB+BNwJVN3ntV8X72h88aHSPpY5KaDhiStJKkj+We0MzMBqzLxPAVz22rNu+9gNSLmi33zvDPSBH7wSbvrV28f3yZE5uZ2QDVAmhttG1GYnigUgOGJK0BrFW3aSNJjRnylgE+QRpIlC33KrWL2MsBnkBkZjbalEwMX8Fu24+T5m9G8fhhk31EanV+rsyB2422fR1Q3zH+bkmvbthtGeBDQHZKIzMzG6ISieEr6Hjgj6QAeR6wB3B9wz7PADeWTQLU7mfIe0gRG1LE3rfFfg+SmrxmZjaGVa3lGRG3AbcBSHo7cGVEPNaPY7cLnt8FjiVF7H8A/we4umGfZ4B/dZgzY2ZmY0SVgme9iLign8drN1XlEeARAElrA/d0s2yL2SAdxOIUlAe0z6ZlfVJ/za1aqpaeT9JNwA4RcU2R4KddQy8iYv3cY2cNGIqIfxYV2YI06nY14C7gTxFxUe7JzMxsyCYtyB4wVEFXAI/V/blvvaS563muBPwS2IKUTeghYMX0li4CPhARjSn7zMxsJHWRGL5KU1UiYqe6P+/Yz2PnLiHyfeANwI7AMhHxUtJI248V27/Xz0qZmVmPWiWG77A0WdXX8+yX3OD5bmCfiPifiJgPzy0oehKwH7DdoCpoZmYldUoM3yKA1kbbVjF4SvqWpKbJfCQdJ+nwMsfLDZ4LaT2X80ZKpjUyM7MB6jIxfMXT870POL/Fe+cX72fLDZ5nAB9s8d6HgF+XOamZmQ3Q7Okwd+rivLY18yel7S0Sw1fcasAdLd67o3g/W+6d4bOAIyT9ljRw6F/Ay4APABsCn5e0ZW3niLiwTCXMzKyP6vPa1rpuMxLDQ7Vy2zZ4GFgHuLjJe+sCT5Q5WO5VOrV4Xh3Ypsn7pxXPIg0FHtVtdzOzyusiMXzVMgw1uADYV9JZ9an4JK0M7EPrLt2mcoPnFmUOamZmo4ATw9f7KvBn4GZJZwJzSV217wHm0zoFbVO5SRIuKVlJs6FztqHBcVahMaxkYvhRPuinaxHxD0lvAA4m9aCuRMrN/hvgq0Ue3GylOreL5u0mwEuAsyJiXrE22rMRsajMsczMzIYpIv4BfKQfx8rNMCTgcNJ6Z0uR7mu+AZhHGon7R+Br/aiQmZmNjKplGGpF0voULc+IuKmbY+RepX2AzwIzgd+TcgTWnAXsRGbwlLQ6cATwdtIAo/OBPSOi1RDixvIbFPXYgrQQ9x3ADyPCWY7sOe7C7Z27asefYdzzlLQD8GFgBrAK6Tv8dODr7ZYLk3QgtPxH+UxELJ1x7l2AQ4BV67bdC3wlIo7L/AhAfvDcFZgZEYdKaryytwCvyDmIpGWBC0lLme1MasEeDFwk6bUR0XaosKQZRfmLizo9AqwHLJ/5OczMxpeSieGHMGBoL1LA/App0M5GwIHAFpLe3OYW4DHA7xq2LVdsO7PTSSV9GPgpcAmwP3AvKYh+FPippKcj4uTcD5EbPFcDLm/x3rOkD5Djk6R5NutHxC0Akq4hZS/6FPCdVgUlTSCtCn5BRNRngvCqLmZmzZRMDD8k766fKgJcImkecBywOamBtISImEsKts+RtBMpjuW0Gv8b+HlEfLRh+08knQTsDWQHz9wMQ3cBr27x3r9RrNSdYTvg8lrghOdW+r6MNFy4nc2BDWgTYM3MrNBFYvhh5LZtCJw1fy6eS2X5IfVg/gs4N2Pf9UkNsGZOAF5V5sS5wfOXwP6SNq3bFpJeCfwX8IvM42wI/L3J9jnAtA5l31I8Ly3pcknzJd0n6fuSlsk8v5lZ9XWdGJ6Rym27WfF8fW6BYvzMFsBJEdF+qZjkcVoH5ynF+9lyg+eBwA3ApSxOEP9L4Nri9WGZx1mJtBbTU33PAAAdIUlEQVRoo3mk9UHbmVI8nwycRxpwdDjp3uf/tCokaTdJV0m6Cp7MrKaZ2RjWZWJ4itG2vTyAlWvfucVjt3ZVlbQaaRDo+RFxVYlPuSMphuUO9DkX+LqkNzWc/w2kAa/nlDh3dpKEpyRtTpofsxVpkNCDxQlzo36vaoH+xIjYv/jzxcUApsMkbRARS/xqiYhZwCwAaUrfVhG3scMjb/N5hG1FzJ6e7nHWtzxhcX7bFonh+zTa9oGImJGzo6TlSdMdFwAfL3mejwFXR8Q1mft/mdQA/KOkfwL3kAYMrQX8g3RPNFtuy5OIWBgRJ0TEjhHxjoj4cEQcVzJwPkTzFmarFmm9B4vn3zdsP6943qhEPczMqquWlu/uKYtXVslMDD8sxe22s0iDSLcqBgTllt2YdI8ye3pJRNwNvI50q/Fq0mDXvwJfADaKiHvya5+fJGFp0pycl5O6xe8B/hIRT5c5Gene5oZNtk8Drsso244zHJmZ1XSRGB6GMlUFSZNJC47MAN4eEdeWPMTOpHy0LW/ZNRMRjwPfLR49aXsVJb2AdF/xk8ALSEkNIAXQpyX9iDS59NnM850JfEvSOkWaJCStBWxKGibczjmk+aFbkX6t1GxdPJfpKzczq74uEsMPOrdtMe3wJGBLYNuIaDUNslX5pUjrSJ/TYuTuUHRqef6G9AHPAM4mTWwVaWmybUnN3WnAOzPPdzQpU9EZkvYjBeGvAXcCP67tJGlN4FZSYoaZABHxoKRDga9KepQ0F2gGabLrcfXTX8xaabynN97vgfoe5zhQIjH8kNLz/QB4PynTzxOSNql7b25EzG0WA+psS7rV17HLVtLNpDiTIyJi/cx9W18lSe8nDQPeISJ+1WSXYyRtD5ws6f9ExOkZNXuiWDT7CNK8GpHWWNuzaE4/d3rSmqCN92RnAo8BnyFlqbgH+CbOq2tm1hdD6LatrQm9L0suA3YQaXZHqxgAqct2Hqlx18kV5AfPUtr9xPgwcEqLwAlARJwm6Zek9EYdg2dR5g5g+w773M7iLuL67UFKkuBECWZmY1BErJWxz+00iQHFe50S6tTvu2N2xUpqFzw3AvbLOMZvSPlpzcacVt2WVevOdfes5aj4Yth91W6qyktJ9zg7uYOUGd/MzEabSQtg4yvbpuWrCcTCRRN7eoxmkl4r6RRJ90p6VtL0YvvBkt5R5ljtgueypNGtnTwLdFwKxszMhqyWpm+rczvmtQUgYMGCiT09RitJbybdA/030m3G+spOAD5d5nidhlWtJmmdDvtMLXNCs7GgClmJ3FU7zrVKDD9KkiSMgG+QBqhux5LB8irS2J1sna7gqRnHEAMazWRmZl3olBi+RQCNEAurG1hfD2wfEYskNQ5GegB4WZmDtbtKZfMMmpnZaFBLDD+xIfFafWL4JnM/U/AcvV2vPXoGaLUC16rAI2UO1jJ4RkR2zkCzKsvt/hxW9667Y62jLhPDE1Q5eP4R2EPSr+u21XpN/xO4qMzBKts+NzMbt+rz2tYCaEZi+AixYH5lg+f+pAB6NWlJzQB2lHQ4sAmQl4apkL2qipmZjSH1K6ssnDCqVlQZCRFxNbA58DCLsxjtSZotskWzJS3bGZ9X0cxsPCiZGB7EooXVDQsR8WdgM0nLAisDD0XEY90cq7pXyWzIfC/SRqUSieEJoEL3PCX9FDg2Ii6t3x4RT5KXBKglB08zM0tClQqewAeBnSXdARwPnNCvFbh8z9PMzJIAFqi3x+jyMmBX4HZSrvYbJV0m6ZOSXtTLgR08zcyskiLi8Yj4WURsAawFfBVYkbR+9D2SfiFpm2KB7lIcPM3MqqxEYngAFvT4GKUi4s6I+HpETCNNTfkpsCVpZbC7JH2rzPEcPM3MqqqLxPBVDZ71IuLKiPgssBpwBGllsC+UOYaDp5lZFbVKDN8ugI6T4ClpXUkzgRuBLwKPAT8pcwwHTzOzqumUGD63C7dCJK0oaXdJfyIFza8Uzx8BVo2I3cocz1NVzMyqpsvE8AQwfyg1HApJk4FtgY8B2wBLAdcBewMnRsQ93R7bwdPMrGp6SAzPwqHUcFj+BbwImAfMAo6LiL/048DutjUzq5r6vLbzizZSRmL4VLbHx+hyCbA9MCUi9uhX4AQHTzOzauomMXzFBgxFxPsi4tcR0ffOaHfbmplVVenE8JbLV9LMrMpKJ4YfaG0qw8HTzMwSB89sDp5mZpY4eGZz8DQzs8UcPLN4tK2ZWZWVTQxvWdzyNDOrqlqavqlzU9KEnKkqFcowNEhueZqZVVG3ieEX9vgYJxw8zcyqptvE8BVLkjBIDp5mZlVTSww/uSGa1SeGt544eJqZVc3s6TB36uK8tjXzJ6Xt7RLDu+WZxcHTzKxquk0M7+CZzcHTzKyKukkMDw6emTxVxcysqsomhneGoWwOnmZmVVYmMbxlc/A0M7PELc9sDp5mZpY4w1A2B08zM0tqGYasIwdPMzNbzN22WTxVxcysyryqykC45WlmVlXdrKriGJvFLU8zsyrqdlUVJ0nI4uBpZlY1vayqMr/Hxzjh4GlmVjVeVWXgHDzNzKqml1VVvBh2FgdPM7Oq6XZVFfA9z0wOnmZmVdTNqioeMJTNU1XMzKqqm1VVxtGgn144eJqZVZlXVRkIB08zM0uc2zbb0O95Slpd0qmSHpH0qKTTJa2RWXYNScdJukPSU5JuknSwpOUGXW8zs8obwj1PSTtIOk3SP4vv8RslHSpphZwqStpA0i8lPVBX/vNlP2qvhtrylLQscCHwDLAz6a/qYOAiSa+NiCfalF0OOB+YDHwVuAN4A3AQsB7wwcHW3sxsHBj8oJ+9SN/fXwHmAhsBBwJbSHpzRCxqVVDSDFIMuRjYFXiE9P2//GCrvKRhd9t+ElgHWD8ibgGQdA1wM/Ap4Dttym5KukhbRcR5xbaLJK0E7CVp2Yh4cnBVNzMbgyYtGG0Dht4dEffXvb5E0jzgOGBzUnBcgqQJwPHABRHxvrq3LhpURdsZdrftdsDltcAJEBG3AZcB7+lQdqni+dGG7Q+TPof6VUkzs0qopenb6tzOeW2HpCFw1vy5eF6tTdHNgQ1o38gammEHzw2BvzfZPgeY1qHs+aQW6jckTZO0vKQtgc8DR7Xr8jUzG3e6TQw/MhmGNiuer2+zz1uK56UlXS5pvqT7JH1f0jJdn7lLww6eKwEPNdk+D1ixXcGIeJp08SaQgu1jwAXAb4DP9reaZmZjWC+J4YecJEHSasBM4PyIuKrNrlOK55OB84C3A4eT7n3+T/kz92bMTFWRtDTpoq0C7ES64bwxsD/pr2z3FuV2A3ZLr140hJqamY2wWmL4iQ1jb+oTwzeb+9mf9TxXllQfBGdFxKxmO0paHjijOOvHOxy31tg7MSL2L/58saSJwGGSNoiIdi3Xvhp28HyI5i3MVi3Sep8g9XmvGxG3FtsulfQIMEvSURHxt8ZCxV/aLABpSnRbcTOzMWP29LT4dX3LExbnt22VGL4/HoiIGZ12KrpazyINIt0sIuZ2KPJg8fz7hu3nAYeRRu0OLXgOu9t2Dum+Z6NpwHUdyr4GeKgucNZcWTxv0GPdzMyqodvE8ENaz1PSZOBUYAbwzoi4NqPYnA7vt5ziMgjDDp5nAptIWqe2QdJapGkoZ3Yoey+woqR1G7a/sXi+q091NDMb+7pJDA8DHzBUTDk5CdgSeG9EXJ75ic4h5QjYqmH71sVzu/ulfTfsbtujSYN7zpC0H+l3zteAO4Ef13aStCZwKzAzImYWm48FvgicLekQ0j3PGaSECX8hTXcxM7OabhLDD342yw+A9wOHAE9I2qTuvbkRMbdZDIiIByUdCnxV0qOk+aAzSONejqufAjkMQw2eEfFEMb3kCOAE0tzMC4A9I+Lxul0FTKSuZRwRtxcX+UBSVqKVSUF3FnBIu6wUZmbjVpnE8MMJntsUz/sWj3oHkb7jl4gBhZmkmRafIWUqugf4JqkRNlRDH20bEXcA23fY53aaJD2IiOuADwymZmZmNmgRsVbGPrfTPAYEKUnCiCdKGDNTVczMbMC8nmc2B08zM0u8JFm2oS9JZmZmQzRpAWx8ZX5e2yFnGBqrHDzNzKpqFCaGrwoHTzOzKuo2MbxbnlkcPM3MqqaXxPBDyDBUBQ6eZmZVU0sMP7khSNYnhm9m5JYkG3McPM3Mqmb2dJg7dXFe25r5k9L2Vonh3W2bzcHTzKxquk0Mb9kcPM3MqqjbxPBueWbxzw8zs6rqJjH8OBr00wsHTzOzKiubGH4cDfrphYOnmZklw1lVpRJ8z9PMzKwktzzNzCxxyzObW55mZlVWJjG8Mwxlc8vTzKyqamn6ps6FDefkTVXxgKEsbnmamVVRN4nhLZuDp5lZ1XSbGB5S120vj3HCwdPMrGq6TQxv2Rw8zcyqptvE8JbNwdPMrGqcGH7gHDzNzKqo28TwlsVX0cysqsomhndm+GwOnmZmVVYmMbxTDGVz8DQzs4JbnrkcPM3MrOCWZy4PGDIzMyvJwdPMrMrKJIZ3Zvhs7rY1M6uq0onhfc8zl1ueZmZV1HVi+AU9PsYHB08zs6rpJTG8ZXHwNDOrmq4Tw/ueZy4HTzOzquk6MXxtqoq7bTtx8DQzq5quE8O75ZnLwdPMrIq6SgzvlmcuT1UxM6uq0onhLZevpJlZlZVODD9+ul574eBpZmYF57bN5eBpZmYFtzxzOXiamVnBLc9cHm1rZlZlpRLDWy63PM3MqsqJ4QfGLU8zsypyYviBcvA0M6uarhPDO8NQLgdPM7Oq6ToxvOVy8DQzq5qeEsO75ZnDwdPMrGp6Sgzve545HDzNzKqo68Twbnnm8FQVM7OqKp0Y3kkScjl4mplVWanE8JbLwdPMzApOkpBr6Pc8JU2V9P8k/UnSk5JC0lqZZSdI2kfS7ZKelvQ3SdsPtsZmZuPF4AcMSdpB0mmS/inpKUk3SjpU0goZZaPF43VdfdwejMSAoXWBDwAPAX8oWfZrwIHAkcA2wOXALyW9s58VNDMbn4YyYGgvYCHwFWBr4EfA7sDvJeXEpGOBNzU8bso5cT+NRLftpRHxMgBJuwLvyCkkaRXSRT8sIr5VbL5I0rrAYcDZg6ismdmYNmnBaBsw9O6IuL/u9SWS5gHHAZsDF3Yof1dEXD6oyuUaesszIhZ1WXQrYCngxIbtJwKvkbR2TxUzM6uaWpq+rc7NzGs7eA2Bs+bPxfNqw6xLL8bSPM8NgWeAWxq2zymepw23OmZmo1hXieFHbJ7nZsXz9Rn77i7pmWLMzIWS/r3bk/ZiLAXPlYCHIyIats+re9/MzHpKDD/cDEOSVgNmAudHxFUddj8R+AzwH8BuwEuACyVtXvrEPdKSsWiIJ0/3PI8G1o6I2zvsOwvYLiJWbdi+LnAz8LGIOKFJud1IFxng1cDf+1D1sWxl4IGRrsQI8zXwNaip5nVYnpeyAqsDavJu8Bh38ji17tP1I2IFAEm/I12TXiwNPF33elZEzGq2o6TlgYuBKcDGETG3zImKEbp/B+6MiLd0V93ujKV5ng8BL5akhtZnrcU5r0kZir+0WQCSroqIGYOt5ujma+BrAL4GNb4O6RrU/hwRWw/xvMsAZwHrAJuVDZwAEfGYpN8Cn+h3/ToZS922c4AXAK9o2F6713ndcKtjZmbdkDQZOBWYAbwzIq7t8ZBD70IdS8Hzd6S70R9t2L4j8PeIuG34VTIzszKKuZwnAVsC7+1l2omkFwLbAlf2qXrZRqTbVtIOxR9fXzxvI+l+4P6IuKTYZwFwXER8AiAi7pP0HWAfSY8Bs4EPkv4Ctss8ddN+93HG18DXAHwNanwdhn8NfgC8HzgEeELSJnXvzY2IuZLWBG4FZkbETABJewHrAxcBdwNrkub+r8qSjaqBG5EBQ5JanfSSiNi8bp/jImKXunITgX2AT5Iu2I2ki3vqQCtsZmZ9Iel2UuBr5qCIOLBI2Xpb7XVR7t3A3qQA+iLgUeAy4OCIGHrLc0RH25qZmY1FY+meZ1OSVpd0qqRHJD0q6XRJa2SWXVrSNyXdUyQo/pOktw66zv3W7TWQNEPSLEk3FBOO75B00ljM1tTLv4OG4+xdJJr+4yDqOWi9XgdJG0j6paQH6pJ2f36Qde63Hr8T1pB0XPF/4SlJN0k6WNJyg653P8kLcAzcmA6ekpYl5UF8FbAzsBOwHinnbc4/9p+QuoD3J910vgc4dyQy9Herx2vwIVLmpu+TEu3vDUwHrpK0+sAq3Wd9+HdQO846wH7AfYOo56D1eh0kzQCuII1q3xV4J/BtYOKg6txvvVyD4v3zgbcCXyV9/mOA/wJ+OsBqD4IX4Bi0iBizD+DzpOz869ZtW5uU5uKLHcr+G2l488frtk0i3Uc9c6Q/25CuwUubbFsTWES6lzzin2/Q16DhOOcCPyZN2v7jSH+uIf9bmECa7vWrkf4cI3gN3lF8J7yjYfthRfllR/rzlbgOE+r+vGvxudbKKLcKKQ3qQQ3bLwCuGenPNZoeY7rlSRple3lEPJfvNtKUlcuA92SUnQ+cXFd2AfALYCtJL+h/dQei62sQTRI0R8Q/gfsZQwma6e3fAQCSPkJqde8zkBoORy/XYXNgA+A7A6vdcPRyDZYqnh9t2P4w6cdFs2w9o1J4AY6BG+vBc0Oap9ubQ+dE8RsCt0XEk03KLkXq9hgLerkGS5C0AenXZ06C5tGip2sgaUXgCODLEdE0U9UY0ct1qKU2W1rS5ZLmS7pP0veLTDBjRS/X4HxSqs9vSJomaXlJW5Jas0dFxBP9reqo5AU4Mo314LkSqU+/0TxgxR7K1t4fC3q5Bs8jaRJwFKnl+ZPeqzY0vV6Db5IW0z22j3UaCb1chynF88nAecDbgcNJXX7/068KDkHX1yAinib9iJhAChaPkborfwN8tr/VHLW8AEemsZTb1gbvSODNwLsiotkXUOUoLWf0MWB6ky+M8aT2Q/rEiNi/+PPFxdzqwyRtEBFjqTeiNElLk348rEIaaHQHsDFpQOECYPeRq52NNmM9eD5E81+TrX59NpZtNlG3baL5UaiXa/AcSYeRVp/ZOSLO61PdhqWXa/BjUit7rqQXF9smAROL109FxDN9q+lg9XIdHiyef9+w/TzSgJmNGBtd+b1cg0+Q7v2uGxG3FtsulfQIMEvSURHxt77VdHTqagGO8Wisd9vOIfXRN5pG50Txc4C1i6HtjWWfZck+/9Gql2sAgKR9gf8G9ogmy7qNAb1cgw2AT5O+NGqPTYFNij+PpdZGr/8f2ul2AMqw9XINXgM8VBc4a2rZazbosW5jgRfgyDTWg+eZwCbF/DwAionAmxbvtXMWMJmUY7FWdhIpX+55Y6i10cs1QNIewMHAvhFx5IDqOGi9XIMtmjz+Rhp0sgVp5YexopfrcA5poMhWDdtrS1R1WqR4tOjlGtwLrKi0RnC9NxbPd/WpjqOZF+DINdJzZXp5AMuRWojXkoahb0f64vsHsHzdfmuS7lns31D+F6TWxa7A20hflE+T7n+N+Ocb9DUgJUlYRPri3KThMW2kP9uw/h00Od7FjM15nr3+fzig2P514D9ISTOeAo4d6c82jGsArEWapnITKcHCFsCXim1XUTd3ciw8gB2Kx49I8zx3L15vVrfPAuAnDeUOK74Hv0jqxv5R8T2x7Uh/ptH0GPEK9OEfyBrAacU/8MeAX9MwGbj4TxHAgQ3blyHNa7u3+MdyBbD5SH+mYV0D0ujSaPG4eKQ/17D+HTQ51pgMnr1eB9I8xi8WwedZ4J/ATGDySH+uIV6DacApwJ2kHw43Ad8CVhzpz9XFdej4f7t4fWxDuYmkTFv/JPVGXAPsMNKfZ7Q9nBjezMyspLF+z9PMzGzoHDzNzMxKcvA0MzMrycHTzMysJAdPMzOzkhw8zczMSnLwtFFB0smS5klatWH7REl/lnTzaFoaS9JakkLSLnXbdpH0n0323aXYd60hVrF27gmS/ippr7ptBxb1GVhua0l7SrpWkr9jrJL8D9tGi8+RJmz/sGH7XsDrgV0j4qmh16q1e4A3Ab+t27YLsETwLPZ5U1Fm2HYEXs6S13XQfgy8lJSpx6xyHDxtVIiI+4AvAO+T9H4ASa8EDgR+HBGXjGD1lhARz0TE5RFxf8a+9xf7jkS+5L2A42PJRd8Hqvihc3xxfrPKcfC0USMijiclpj5S0sqkpcLuB77cqWxd1+hbJf1a0uOSHpT0g8buXkkvl3S8pAckPSPpGkk7NuyzqqTjJN1d7HOPpN9IWqV4/3ndtpIuBjYDNi22R7GtabetpMmSDpZ0u6Rni+eDJU2u26d2jk9JmlnU4WFJZ0mamnFN3khaKaTjYtaSti6u2ZFFV2/t3J+WdKikeyU9JulESctKWlfSuUWZWyQ1a2H+Apgm6c2dzm821oz19Tytej5FWhbpCmAd0sLcj5UofyIpN+kPWbyQ8XKkLlUkLQdcQlrz8SukHKY7AidIWjYiZhXHOYGUPPxLxT4vIy0e0LiEXc1ninNPLD4DpNyqrRwHfICUhP2PpEXI9y0+80ca9t0H+F9Sl/AqwLeLc23e5viQVkR5jJQYvSVJHwOOAWZGxMHFtvpzX0zqfp0GHE5KEr4RcDQp7+vuwM8kXRUR9Uub/bU4/9ZF/c2qY6ST6/rhR+MDOJR0//O0EmV2Kcoc1bB9X2Ah8Mri9WeL/TZv2O984D5gYvH6cdL6pq3Ot1ZxnF3qtl1Mk4TydXVbq3j9aponJd+v2P7ahnNc3LDfXsX2KR2uyTnAZU22H1iUn0Rq1c8n3VNu9vkubNh+erF9x7ptK5JW5zigybn+QFrib8T/XfnhRz8f7ra1UUXSC4GdSF/Qb5C0QslDnNLw+hek2xMbF6/fCtwVERc37HciaYBLbdHfPwNfkvR5Sa9RXVOsD95ad87GOkDq/q13dsPra4vnNTqcZwqp27uVI4CDSCtmHNNin3MaXt9QPJ9b2xARD5F+eKzepPz9RT3MKsXB00abb5JaMu8idVEeWrL8v1q8Xq14Xonmo17vrXsf0qLoZ5JaZtcAd0nav09TL2rnaKxHYx1q5jW8rg08WrrDeZau27eZD5MW/T6/zT4PNbx+ts32ZvV5irT0n1mlOHjaqCFpc+CTwH4RcQ5wMLB7yQEnL2vx+q7ieR6wKktate59IuK+iPi/EbEa8CrS2qcHsfh+Zi9qwbCxHqs2vN+rB0k/RFp5G6n1eo6k5ft0zkYrAQ8M6NhmI8bB00aFYkTs0aTu0u8Vm79BGjx0jKSlMg/1gYbXHyINcLmieH0JMFXSpg37fYTU9Xhd4wEj4saI+AqptfXqNud+hrxW1qV1dav30eL54oxj5LiBNACplTmkQUfrMbgAujZw4wCOazaiHDxttJhJGt26a0QsAoiI+cCuwPqkgT853inpm5LeLmlf4ADSPMebi/ePBW4GTpe0azFF4wTg7cBXI2KhpBcVWY32LN5/m6Tvk1px57U593XAqyV9UNIMSes32yki/g78HDhQ0gFFXfcnDeT5eURc26xcFy4FXiHpJa12iIjrSQH0FcC5XdxjbknSi4FXsvjHgllleKqKjThJM0gJEr7eGDgi4kpJ3wP2lnRKPH8qRDM7Av9Fmj7xLKk1+9xE/Yh4QtJmpCkXhwErkFpGO0VEbcDO08BsUhfymqSW643ARyPijDbn/gYp0B8DLE9q5W7eYt9dgH+Qpp/sB9xdlD+ow+cr4wzSZ9mWNDWmqYi4sbgmFwHnSdqqT+d/F+nv4Fd9Op7ZqKGIGOk6mPWsSFbwM2C9iLhlhKszakg6FpgaEf8xAuc+B3ggInYa9rnNBs0tT7NqOwi4XtKMiLhqWCeV9DpgS2DDYZ3TbJh8z9OswiLiNlIX8SpDPvWqpAQS7gWwSnK3rZmZWUlueZqZmZXk4GlmZlaSg6eZmVlJDp5mZmYlOXiamZmV5OBpZmZW0v8HZFEq669FXVIAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot acquisition geometry\n", "plot_velocity(model, source=geometry.src_positions,\n", " receiver=geometry.rec_positions[::4, :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## True and smooth data\n", "\n", "We can generate shot records for the true and smoothed initial velocity models, since the difference between them will again form the basis of our imaging procedure." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Compute synthetic data with forward operator \n", "from examples.seismic.acoustic import AcousticWaveSolver\n", "\n", "solver = AcousticWaveSolver(model, geometry, space_order=4)\n", "true_d, _, _ = solver.forward(m=model.m)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Compute initial data with forward operator \n", "smooth_d, _, _ = solver.forward(m=model0.m)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from examples.seismic import plot_shotrecord\n", "\n", "# Plot shot record for true and smooth velocity model and the difference\n", "plot_shotrecord(true_d.data, model, t0, tn)\n", "plot_shotrecord(smooth_d.data, model, t0, tn)\n", "plot_shotrecord(smooth_d.data - true_d.data, model, t0, tn)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Full-Waveform Inversion\n", "\n", "\n", "## Formulation\n", "\n", "Full-waveform inversion (FWI) aims to invert an accurate model of the discrete wave velocity, $\\mathbf{c}$, or equivalently the square slowness of the wave, $\\mathbf{m} = \\frac{1}{\\mathbf{c}^2}$, from a given set of measurements of the pressure wavefield $\\mathbf{u}$. This can be expressed as the following optimization problem [1, 2]:\n", "\n", "\\begin{aligned}\n", "\t\\mathop{\\hbox{minimize}}_{\\mathbf{m}} \\Phi_s(\\mathbf{m})&=\\frac{1}{2}\\left\\lVert\\mathbf{P}_r\n", "\t\\mathbf{u} - \\mathbf{d}\\right\\rVert_2^2 \\\\\n", "\t\\mathbf{u} &= \\mathbf{A}(\\mathbf{m})^{-1} \\mathbf{P}_s^T \\mathbf{q}_s, \n", "\\end{aligned}\n", "\n", "where $\\mathbf{P}_r$ is the sampling operator at the receiver locations, $\\mathbf{P}_s^T$ is the injection operator at the source locations, $\\mathbf{A}(\\mathbf{m})$ is the operator representing the discretized wave equation matrix, $\\mathbf{u}$ is the discrete synthetic pressure wavefield, $\\mathbf{q}_s$ is the corresponding pressure source and $\\mathbf{d}$ is the measured data. It is worth noting that $\\mathbf{m}$ is the unknown in this formulation and that multiple implementations of the wave equation operator $\\mathbf{A}(\\mathbf{m})$ are possible. \n", "\n", "We have already defined a concrete solver scheme for $\\mathbf{A}(\\mathbf{m})$ in the first tutorial, including appropriate implementations of the sampling operator $\\mathbf{P}_r$ and source term $\\mathbf{q}_s$.\n", "\n", "To solve this optimization problem using a gradient-based method, we use the\n", "adjoint-state method to evaluate the gradient $\\nabla\\Phi_s(\\mathbf{m})$:\n", "\n", "\\begin{align}\n", " \\nabla\\Phi_s(\\mathbf{m})=\\sum_{\\mathbf{t} =1}^{n_t}\\mathbf{u}[\\mathbf{t}] \\mathbf{v}_{tt}[\\mathbf{t}] =\\mathbf{J}^T\\delta\\mathbf{d}_s,\n", "\\end{align}\n", "\n", "where $n_t$ is the number of computational time steps, $\\delta\\mathbf{d}_s = \\left(\\mathbf{P}_r \\mathbf{u} - \\mathbf{d} \\right)$ is the data residual (difference between the measured data and the modelled data), $\\mathbf{J}$ is the Jacobian operator and $\\mathbf{v}_{tt}$ is the second-order time derivative of the adjoint wavefield solving:\n", "\n", "\\begin{align}\n", " \\mathbf{A}^T(\\mathbf{m}) \\mathbf{v} = \\mathbf{P}_r^T \\delta\\mathbf{d}.\n", "\\end{align}\n", "\n", "We see that the gradient of the FWI function is the previously defined imaging condition with an extra second-order time derivative. We will therefore reuse the operators defined previously inside a Devito wrapper." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FWI gradient operator\n", "\n", "To compute a single gradient $\\nabla\\Phi_s(\\mathbf{m})$ in our optimization workflow we again use `solver.forward` to compute the entire forward wavefield $\\mathbf{u}$ and a similar pre-defined gradient operator to compute the adjoint wavefield `v`. The gradient operator provided by our `solver` utility also computes the correlation between the wavefields, allowing us to encode a similar procedure to the previous imaging tutorial as our gradient calculation:\n", "\n", "- Simulate the forward wavefield with the background velocity model to get the synthetic data and save the full wavefield $\\mathbf{u}$\n", "- Compute the data residual\n", "- Back-propagate the data residual and compute on the fly the gradient contribution at each time step. \n", "\n", "This procedure is applied to multiple source positions and summed to obtain a gradient image of the subsurface. We again prepare the source locations for each shot and visualize them, before defining a single gradient computation over a number of shots as a single function." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Prepare the varying source locations sources\n", "source_locations = np.empty((nshots, 2), dtype=np.float32)\n", "source_locations[:, 0] = 30.\n", "source_locations[:, 1] = np.linspace(0., 1000, num=nshots)\n", "\n", "plot_velocity(model, source=source_locations)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Create FWI gradient kernel \n", "from devito import Function, clear_cache, TimeFunction\n", "from examples.seismic import Receiver\n", "\n", "import scipy\n", "def fwi_gradient(m_in): \n", " # Create symbols to hold the gradient and residual\n", " grad = Function(name=\"grad\", grid=model.grid)\n", " residual = Receiver(name='rec', grid=model.grid,\n", " time_range=geometry.time_axis, \n", " coordinates=geometry.rec_positions)\n", " objective = 0.\n", " \n", " # Creat forward wavefield to reuse to avoid memory overload\n", " u0 = TimeFunction(name='u', grid=model.grid, time_order=2, space_order=4,\n", " save=geometry.nt)\n", " for i in range(nshots):\n", " # Important: We force previous wavefields to be destroyed,\n", " # so that we may reuse the memory.\n", " clear_cache()\n", "\n", " # Update source location\n", " geometry.src_positions[0, :] = source_locations[i, :]\n", " \n", " # Generate synthetic data from true model\n", " true_d, _, _ = solver.forward(m=model.m)\n", " \n", " # Compute smooth data and full forward wavefield u0\n", " u0.data.fill(0.)\n", " smooth_d, _, _ = solver.forward(m=m_in, save=True, u=u0)\n", " \n", " # Compute gradient from data residual and update objective function \n", " residual.data[:] = smooth_d.data[:] - true_d.data[:]\n", " \n", " objective += .5*np.linalg.norm(residual.data.flatten()**2)\n", " solver.gradient(rec=residual, u=u0, m=m_in, grad=grad)\n", " \n", " return objective, grad.data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having defined our FWI gradient procedure we can compute the initial iteration from our starting model. This allows us to visualize the gradient alongside the model perturbation and the effect of the gradient update on the model." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Objective value is 1065.407074 \n" ] } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Compute gradient of initial model\n", "ff, update = fwi_gradient(model0.m)\n", "print('Objective value is %f ' % ff)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from examples.seismic import plot_image\n", "\n", "# Plot the FWI gradient\n", "plot_image(update, vmin=-1e4, vmax=1e4, cmap=\"jet\")\n", "\n", "# Plot the difference between the true and initial model.\n", "# This is not known in practice as only the initial model is provided.\n", "plot_image(model0.m.data - model.m.data, vmin=-1e-1, vmax=1e-1, cmap=\"jet\")\n", "\n", "# Show what the update does to the model\n", "alpha = .05 / np.max(update)\n", "plot_image(model0.m.data - alpha*update, vmin=.1, vmax=.2, cmap=\"jet\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the gradient and the true perturbation have the same sign, therefore, with an appropriate scaling factor, we will update the model in the correct direction." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Define bounding box constraints on the solution.\n", "def apply_box_constraint(m):\n", " # Maximum possible 'realistic' velocity is 3.5 km/sec\n", " # Minimum possible 'realistic' velocity is 2 km/sec\n", " return np.clip(m, 1/3.5**2, 1/2**2)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Objective value is 1065.407074 at iteration 1\n", "Objective value is 757.788406 at iteration 2\n", "Objective value is 508.508842 at iteration 3\n", "Objective value is 320.780087 at iteration 4\n", "Objective value is 186.706417 at iteration 5\n" ] } ], "source": [ "#NBVAL_SKIP\n", "\n", "# Run FWI with gradient descent\n", "history = np.zeros((fwi_iterations, 1))\n", "for i in range(0, fwi_iterations):\n", " # Compute the functional value and gradient for the current\n", " # model estimate\n", " phi, direction = fwi_gradient(model0.m)\n", " \n", " # Store the history of the functional values\n", " history[i] = phi\n", " \n", " # Artificial Step length for gradient descent\n", " # In practice this would be replaced by a Linesearch (Wolfe, ...)\n", " # that would guarantee functional decrease Phi(m-alpha g) <= epsilon Phi(m)\n", " # where epsilon is a minimum decrease constant\n", " alpha = .005 / np.max(direction)\n", " \n", " # Update the model estimate and inforce minimum/maximum values\n", " model0.m.data[:] = apply_box_constraint(model0.m.data - alpha * direction)\n", " \n", " # Log the progress made\n", " print('Objective value is %f at iteration %d' % (phi, i+1))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# First, update velocity from computed square slowness\n", "nbpml = model.nbpml\n", "model0.vp = np.sqrt(1. / model0.m.data[nbpml:-nbpml, nbpml:-nbpml])\n", "\n", "# Plot inverted velocity model\n", "plot_velocity(model0)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_SKIP\n", "import matplotlib.pyplot as plt\n", "\n", "# Plot objective function decrease\n", "plt.figure()\n", "plt.loglog(history)\n", "plt.xlabel('Iteration number')\n", "plt.ylabel('Misift value Phi')\n", "plt.title('Convergence')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] _Virieux, J. and Operto, S.: An overview of full-waveform inversion in exploration geophysics, GEOPHYSICS, 74, WCC1–WCC26, doi:10.1190/1.3238367, http://library.seg.org/doi/abs/10.1190/1.3238367, 2009._\n", "\n", "[2] _Haber, E., Chung, M., and Herrmann, F. J.: An effective method for parameter estimation with PDE constraints with multiple right hand sides, SIAM Journal on Optimization, 22, http://dx.doi.org/10.1137/11081126X, 2012._" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook is part of the tutorial \"Optimised Symbolic Finite Difference Computation with Devito\" presented at the Intel® HPC Developer Conference 2017." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 1 }