{ "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": { "collapsed": true }, "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": { "collapsed": true }, "outputs": [], "source": [ "nshots = 9 # Number of shots to create gradient from\n", "nreceivers = 101 # Number of receiver locations per shot \n", "fwi_iterations = 8 # 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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UUm7L8+fAjsClwK/buOjXgBWBVSLiIQBJdwIPAl8HfpKZzy+Ac4BV8EIPZmb9ZIuIeKbq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\nKL7z68UASVsA+5EGOL0PeAm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SUmT7RsQvq5xyoaR9gKsl/UdEXJ+jZIuyRbPPIt07FWmNtSMr+ptFWhO0smU8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\n5UjXFX8XO7H165YnabL46RH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djjR2aFLu+CTgQ1lfaqNK2+rVW0VqJWBajfNLNfLQogH3EuBISZuXHQtJHwD+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\nAxbso7sHKdB+glRC1wM/Ai6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"text/plain": [ "" ] }, "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", "\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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mUzybGHAlwszMqGKxKWt8mTRWtjQzMhrkRpxImJnNdeNWIiTdC0SF54mIOCGb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\nkTY6VtOPsA5oB47lwL6IfC/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Define acquisition geometry: source\n", "from examples.seismic import RickerSource, Receiver\n", "\n", "# Define time discretization according to grid spacing\n", "t0 = 0.\n", "tn = 1000. # Simulation lasts 1 second (1000 ms)\n", "dt = model.critical_dt # Time step from model grid spacing\n", "nt = int(1 + (tn-t0) / dt) # Discrete time axis length\n", "time = np.linspace(t0, tn, nt) # Discrete modelling time\n", "\n", "f0 = 0.010 # Source peak frequency is 10Hz (0.010 kHz)\n", "src = RickerSource(name='src', grid=model.grid, f0=f0, time=np.linspace(t0, tn, nt))\n", "src.coordinates.data[0, :] = np.array(model.domain_size) * .5\n", "src.coordinates.data[0, 0] = 20. # 20m from the left end\n", "\n", "# We can plot the time signature to see the wavelet\n", "src.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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hlLS9RWL4ilsDuKXFe7cU72fLvTN8JnCEpN+QBg79C1gNeC+wCfBZSdvUdo6I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\naR3gH8CsiJhVbD4W+DxwlqR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Define acquisition geometry: receivers\n", "\n", "# Initialize receivers for synthetic data\n", "rec = Receiver(name='rec', grid=model.grid, npoint=nreceivers, ntime=nt)\n", "rec.coordinates.data[:, 1] = np.linspace(0, model.domain_size[0], num=nreceivers)\n", "rec.coordinates.data[:, 0] = 980. # 20m from the right end\n", "\n", "# Plot acquisition geometry\n", "plot_velocity(model, source=src.coordinates.data,\n", " receiver=rec.coordinates.data[::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": { "collapsed": true }, "outputs": [], "source": [ "# Compute synthetic data with forward operator \n", "from examples.seismic.acoustic import AcousticWaveSolver\n", "\n", "solver = AcousticWaveSolver(model, src, rec, space_order=4)\n", "true_d, _, _ = solver.forward(src=src, m=model.m)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Compute initial data with forward operator \n", "smooth_d, _, _ = solver.forward(src=src, m=model0.m)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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2r86+9bsXYX16Fl6UIa1M755ei/zUjc5CRVJE9gPOBW4HTgEKcAZwnog8qJRya/B7tgMv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Wv5uI7Ad8BLgbOBUowOuBS0Xk4aWUO9a4xEuBTwEfAH55lvcKKZK9sUhiuAiN03q/6Mn6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\n+nrRyaHbPB/Wb2oJITQFUH+feru1XF/Pslg9UdD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R9CyqUGDjGhNnGvca+Ggg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\n", 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O8Kx5LGKa+y61LazUuUvyl5SlpodlHoLpItllpiIp/RfbHJ/nAOAVwI+HKOe8+xSHfEhr\nimFfS9AqeCkhy51Pb89d03JcfM0Si7UEi/UYi49FpG6++ebkNfVxKcGMr2kR1pyLNtV3WjsgRtPX\nyi0pwzxctIvU97uszNqS7LvY5pi/B94N3IkK32FertNFtRKt4pc7zmKV5cQnJV45kdxuu+3WzaOP\nsV4n/p76HBZLtBSLJWcVrJRI5vLr43Q6Z31a0vHnlCUai3nqOeprfc7KXVvbRVvSaPB+zOmZtUj2\nWmwTQESeBNwdeCLwgdKCzEoYl9Eq7Ct+8XFWwdKfLWmA7bfffuI+y/bccblrpr5DrgFQgkUYY/FJ\nCdtNN9207jG54/R2nc6dL3edlFDrdHzfUw0Afa6ckFiE1SoqQwYr9Y3stvZT9zlmlZi1SPZabFNE\n9qDpz/zzEMIVQ4nWsrtLa/cVWoQgFoWUVWcVLEsaYIcddpiY1seljskdlxLP+LPFegVbIyTXv6gF\nQotUTiRTwqbTN954Yye/3veLX/xi3fzxOVLntopxTlhTYqrvZ85iTWF1C2uGtD5rWpxDBkytCrMW\nyb6Lbf418C3gFOsFReRY4FiA3XbbLXWM9XRJaj5YQwbRWPoKcy5Ni3sz3pcSn5zg7bjjjutujz9b\n0rFI7rTTTuuWMyesOm110aawBtGkhDD+rEUqldZCGH+2pAFuuOGGidfP5bEIeInFmuvntvSD1h6a\nMW+Lc1oXrUe3rmVphoCIyAOApwJ3D1P8iqFZEXszwN57793mWzRrsa8w9nWXWq3CVNpqoaXEK/6s\nxUund955506e1D7L9vizvn4s4MtOSrC0wMWff/7zn6+73ZonJ6x6X0rMwSamJdZnTmQ107puc+er\nUX+UWJwlLudVZ6qaQER2pOkP3Bu4BXAZ8M3QzLFnoc9imycDbwO+LyK7j7ZtD2w3+nx9COGGZO4R\nfcRxHsJYI4gm5S61uEQhbTnl3Jgp8ckJnv58i1vcYt209biNJnglpBont7zlLZN5tHhdf/31E9MA\n11133cS0FsI4jxZTq7BaxDRnWafE0OquHTJYaB4uWg/isbFu7SEi2wGPBJ5JM/P6jtCZdDaIyP8A\n/wS8VQflTKDPYpsHjf6eNWHflcD/A7xxnXOYmIfr1NpXmDou5/q09Anm3IupClaLWix4KcHaZZdd\n2vSuu+7ayaM/63SuIneGI/W7p7otoCtEP/vZtgUdrr22O7pLf9ZpLbKxsOrPWkxTaUi7llMu61wf\nr8UqhbpRp7X7FC31kVuSXbIiKSKPoRmwvw9wBs3YxC8CPwGup7EA9wfuTSOkLxKRU4BXhBB+NOGU\nfRbbfPCEbW+kWUrl+UBOnLPUeCjm4S4tiRq1uEFzLkmd1kKmxS/elxK8X/qlX+rkiYXWWT70s6bF\nNBZWLaCpdE5YU2IaN/C0aOqyafHU705siVrcstYZiPoGCM3KResi2WU9S/JNwOuBU0IIVyWO+Sxw\nGo1A3ht4CU2gzGsmHFu82GYI4ZPxyUTkKmD7SfvWY1YTBvR1l1rH9eWiRi19glar0GrtaQG81a1u\n1aZjAXZWE/286LQWv2uuuaaT56c//WmbTompzg9dAdXvhUU8488pwcxF0Ja4a+fhoq153o3GeiJ5\nQAjh5+sc0xJC+G/gUSIy0SQI/Rfb7E2fB2ARXKcWd6k1ICblEs25QVPip9PgVqFThvZIxN4JLaZa\nQLV46jR0BVQ3FlN9rNZGaS4KN9X4tQYIpZjFGE6Pbl1LViSnEUhrvtBjsc0Jxx02bdmmpaYwlgy4\nt44lzLlLUwExVjdoSgy9r9CZJSnr8+qrr27TcWCXFlP9XmhLNCWekI7m1pZo/F7nxnqmtlsEb14u\n2lXHHPYnIr8O7B5C+Ozo8y2AVwG/CZwRQnjzMEUcniFdpyVTquWiRi1WYa5/MGUJ6j6j3XffHY1H\nhzqLTK7vU4vZlVduC6DX4pmySqFriaasz9wwmpTFGdcFqekA+0bUlkx64MLaZZra783Al2j6IAFe\nR9O/+BXgDSISQgh/V7l8gzGk69QaUGOxCmPXqbYKU5GisYWXsgS1GLpV6GxEdEPytre9bZvWjcrU\ncCVIN1itXSJaMPVxcd9nShhzUxBqFm0M50ZiGpG8K/B3ACKyiWZg/0tCCG8Qkb+gCdZZeJGcdmxi\nSdRpykWTc52mIkhz4wJTLtK4Na3FcI89tg1TtcwC4zgbEf2O9J1sIn6vdfCQddL83BR+KWpG0U57\nzCoxjUjuBlw+Sv8WzaQA7x99/iTw4nrFmi05q7Ak6rRk/GHKQswFL6TcTFoIYW0fozMMuqKLXXCp\nsXipyR2g+7zo58MHgdclZW3G+1LTG+ZmmyqZ29cSURtjEcz4fC6GNqYRyR8BBwKfBn4X+HYI4Xuj\nfbcEbkplXERyQmgRxtxYxNQLFLdSU9GluSCaVN/hnnvu2aZjl5GzDR2wAfCjH/1oYvonP/lJm77s\nsss6ea644oo2rYNGdH9WHACSGsiun7XYIkmNSU25zKH7HNz61reemNZCEIuC00U3OFPz/FpFMuei\nTXXXxLMOpbBG0U4SxtpDSzYa04jkB4G/EpHfBJ6GGtcI3Bn4TsVyDYKItA+E1Y2amsDaOhYx5zrV\nVqIWxlwlqF9aXSGuKlqYLrnkkjZ98cUXT0zrYwC++93vtulLL720TX//+99v01o8Fx397O29995t\n+na3u12b3m+//dr0/vvv38mvP6fS++67b5WyLhv6fc3FDVhWk7EuImBtzMfDUMZYo2jH+BCQtUwj\nki8FdgYeRiOYr1P7jgTOrFiuwZi0zl+J6zR+MSyRprmAmlS/4S//8i938mxkV9u3v/3tNv31r3+9\nTX/ta9tmLPzKV77SyfPlL395YnpV0ZaHbhDo9Kc//empz6s9GHe96107+/TnO9/5zm36kEO2zUD5\nG7/xG508y97A03WBttKh+/5qr0PKAwHdCNvUlH3xxPKpSetzUbSWSRBcJLuYRTKEcC1wTGLfb1cr\n0YwocZ2m+hAhLYzWgBpdaeTmxlxGdOj9li1b2nQseF/84hfb9Oc+97k2/aUvfWnA0jkWdKX+qU99\nqrNPf9bP+73uda82fc973rOT57d+67fa9F3ucpc2HYvpMqLrjNvc5jZtOhfsU7JGaWph70Vb4WjZ\nWakBcCLSPoAl07ilBuVDVxhTATW5/qNlH4Kh3ZPQteq+8IUvtOn//u//btP/9V//1cmjW9rOcqLd\n32edddbENMCv//qvt+nf/u1tbex73/vebVoLKXSt1DigbRnQXqFcpHuJSFq7jybt28jeqRqsN8H5\nB4G/CCF8MXecOn5n4DnAdSGEt1QoX3XGD2Au6jS1nFNuBQvdgk5ZiLGLaRmnbtNuO23hffazn+0c\npwVQWxreSnUAvvWtb01Mf/jDH27TD3zgAzt5tJhqy1RbovH0iItK7C2yrNkae7wsQ9UsQYkeuJNn\nPUvyEuA8EfkS8G6ayNYvhxBap7eI7A3cC/gD4FHA/wJPH6S0PRGRVhBzUacpYUwF14CtTzEW40VF\nB7BAVwzPO++8Nv2f//mfbbqkn8txYn784x+36fe///2dfdoaPeyww9q0FlPt4oWugC6yt0aXLRUs\nWDvYJ7XNRbLLenO3/omI/A3wQuAvacZKBhG5BrgB2J1t60t+dnTcqSEE22jYGbNp06bWTZpznVrC\n7eOxiPrzIr+Mun/wggsuaNPaDXrOOed08nziE59o0/H4P8eZFfrZ/dd//deJ6X322aeT5yEPeUib\nfsADHtCmtZj+5m/+ZtVy9kXXTToqOW6YX3755W1aN+ZTw5Jg8jR7WmA9unUt6/ZJhhC+DTxfRP4U\nuC/N2pF700S6Xg58A/hUCOG76bMsBps2bWofQGvUaWqQfhx1GgvtPInDwXWAjA6I0dbfxz/+8Tb9\ngx/8YMDSOc5wfO973+t8PuWUU9q0Dgw7/PDD27QWz0MPPbSTPxbdeRKLpGWBBIslGVuoLpJdpolu\n/QVwzuhvKdm0aVNrJeYG7Kf6FLUwLtq6iNpFqgNlAM4999w2ra3C+DjH2choz4lO6+FGF154YSeP\n7ge9293u1qYXwVuky1AikuO0T0+ZZ6WiWzdt2tQ+WNao00WbyUbPGKMtxJy79IwzzmjT8UwwjrPq\nfPSjH23TWjChO3ZXB61pd62O1J0X2jNm7ZNMiaRbkl1WSiS32267VhxzM9foz/MOttGzxUDX+ku5\nS7/61a8OXzDH2YDoGZgANm/e3Ka1YGq3rrY2oWtxzmPMs+762WuvvZLHuUjaWCmR3HHHHdupurTr\ndBEmAP/GN77Rps8///w2HUeNaqswnmLNcZzhSI371GM7AR760Ie26fvf//5tWo/7jGfpGYp4mJkO\nBBp3PcUeMhfJLislkttvv30rjvMQxjjSLOUuPfvss9u0dgXB2nXonNnzK7/yK236Dne4Q5vWQR5x\nJaiDLnR/tq6QYle4jub84Q9/2Ka1taPHGMLaqcuc4dHvLnStTB0Ep4e3xDMQzWOmobE3zfsk86yU\nSG7atGnm4qhnoomnV9MD7j/2sY+1aW1JOnW5z33u0/mshwjosXf6uEUI0ihBC6v2SOjgLe2ZAPjO\ndxZ+nYKF53//93/b9Nve9rY2rX8PvcoMdBtEemahWT97PgRkLSslkkOiJwvWrtPPf/7zbVoPvgc4\n88xtc8LHfSGOjV/91V9t04973OPa9GMe85g2rV1eq4ReBkvfD53OoccfnnbaaRPTjp3/+I//aNPx\nyjJ6OTYtmNpFq5/1IZmFSIrIPsAbgIfSjLP/OPDCEMKl2Yy0M7u9BngyzVj9LwEvCSF8KpuxkKlE\nUkR+C3gl8ECawt0rhPAFEfk/NGMlP5o9wQYidp3qlSr0FG060vQjH/lIJ49ewdzpolvQT3va09r0\n0Ucf3TkuHtfm1OORj3zkxPR73/veznEf+tCH2rS2nP7t3/5twNItN7G3SIuknsP4qquuatPxsz5U\nVO3QIikiuwCfoJmQ5mggAK8FzhaRu4wW08jxNuD3gT+jWaLxucAZInLfEEL11RDMIiki96dR++8A\n7wGep3ZvBZ4FbGiR1K2/eAULPV2bdmfp/kWny/3ud7/O52OPPbZNP/WpT511cZxCHvGIR0xM6wr+\n7//+7zt59Od4AoBVRAfhvec972nT2qrUy2lBt6GulyXrOyf0DCzJY4ADgDuFEC4CEJEvAxcCxwEn\npTKKyF2BJwF/HEJ4x2jbOcAW4HiaZRurMo0leQJwBvCHwHZ0RfILwIap1XRLzmIhQjfAxrqa+Ebm\n8Y9/fJt+7nOf26b17CbOxkaPP37Zy17W2Rd/HqOt1L/5m7/p7NMN0Y2MFr9//ud/btNxpPvDHvaw\nNv2gBz2oTd/jHvdo03FAULz6yJw4EjhvLJAAIYSLReRc4CgyIjnKeyPQ+vxDCDeJyHuBl4rITiGE\nqnNnTnPH7g48KoQQRCRualwG/MqEPEtBvMyTXvNQC6O2Ct1ChEc/+tFt+nnPe15nnw6CcRwrT3jC\nEyamAU499dQ2rQV0VQLddEAQwPve9742rScZ0SIbd+kcdNBBbToVxDgDS/IQ4PQJ27cAjzXkvTiE\nEPdVbaGZR/zAUboa04jkz4HUIm6/Clyd2LdQjANs9CD9nOtUj4dalZcx5sEPfnCb1mL4qEc9ah7F\ncVaUJz/5yRPTf/u3f9umTzqpa4Rs5LHEWhi1YOZEUn8++OCDge5czzOKbt0TuHLC9iuAPSZst+Yd\n76/KNCL5aeCFIqJbAOO7+QyajtiF5vrrr2/dp1oYP/OZz3SO08Ko3a0bmQMPPLBNx1ah/uxjqpxF\n4/nPf36b1gFGAG984xsnpm++eSEXKqqC7vrRQgrdVUDGgqm3QRVLci8R0RbF5hDC5uTRC840IvlK\n4FzgAuD9NAJ5tIicBNwDuGcm70Jw7bXXtu5TPUYxXjV9I7c+Nc9+9rPb9HOe85w2vWhLBzmOFT2j\nDMCJJ57Ypo844og2rQVTD83YaMT9mNqSHKfjSP0KInlZCCEXdn4lky3GlJUY5903kRe2WZTVmGYV\nkAtE5IHAXwMvpxnb8jzgP4EHhRC+WbtwtfnJT37SRtVtZNepngUG4FnPetbE9LIOknecEn7nd35n\nYlpPoPCmsM+cAAAgAElEQVSmN72pk+fNb35zm94I1qee+3mOqwBtoelbjDkYWM91twV4pIjsEvVL\nHgz8ArhocrZypgp1CiF8AXjIaDDnnsBVEzpQF5brrrtuw4rjYx+7rb/7uOOO6+zTs8o4jtPlgAMO\naNPawoTu2EQtmPFUdBuJGfRJfhA4UUQOCCF8B0BE9gPuB7x0nbz/DryaJsDnnaO82wOPB86sHdkK\nhTPuhBB+Dvzvugc61dHupGOOOWZielYzczjORkcHCOnp4v7u7/6uTb/1rW+daZmGZgYi+VYaL+Tp\nIvIKmq671wDfA04eHyQi+wLfBo4PIRw/KtsXReQ04I0isgNwMfBsYH/gj4Yo7LQz7hwEPAbYB4hH\nrIYQwtFrczl9iK3AZzzjGW36iU984qyL4xSiJ6ZPTVIfL8s272XanC53vetd27QeghKPRdQTJVx0\nUXXv36DMIro1hHCtiBxOMy3du2i67s6imZZORxoJzZj8TdEpng68jmaWnt1p4mSOGHk6qzPNjDtP\nBd5Oo/o/pvH/anxW3B7oQb5Pf/rT2/Qf//Efd46LJ+h26qEjAXXwVjyONjVRtZ4dJY4q1Ct86JB7\nTTzQW68LqPuP9VqoekUS6HoR9Kok+++//8TzOmXoe/iiF72os0/HBJx8cmsYrZmWcpUZzdH66HWO\nuYRGKOPt1wMvGv0NzrTRracDzwghXLXewc766L6Q1Pykt7/97WdZpA2JXiz3m9/sxpfplr4eO6sn\nnNfLHUF3ySM9O9PVV28bKjxka1wPAtfrokJ3ia5f+7Vfa9P6OdKCGc//qa0ifZxj56ijjmrTuqGy\n777bgjJjF+0iBQX5KiBdphHJ2wLPcoGcjvEizwBPecpTOvt0f4cPu7ChBQ+6412/+tWvtmm9zuKF\nF17YpuOloLTgLQs6ZD8O3592+JK2SqFrBd3xjnds03qmFt03B103pAtrl7vf/e5tWrth9bSNAG9/\n+9vb9Lve9a7hC5bBRbLLNCJ5LnAQje/YyaArDS2ET3rSkzrHaQF1umjxSwkhdJcl08KoxdQXIk6j\nXcTQHRqlhwhor0fcB6cn19aNvbvd7W4Ttztrp23UHoG99tqrTZ9yyiltOv6thsJFsss0Ivk84AMi\ncjlwJhMGfYYQtq7JtSLoqdu0GOr5J31cYpdY8LQY6vlz9axH2iqErhjqfj+nP3qNVO2Wjq153VDR\nv5X+fe9yl7t08mgBHU+Ptspo6/yFL3xhm95zz22zrL3zne/s5BkqKMhFsss0Ivl94IvAqYn9Ycrz\nLTV/+Id/2PmsI031orabNsWBWauHdnGmhBDg61//eptOWYWXX375EEV0piCuRHVlrSfhvvTSbevn\nxm5gnUcLqLtuu/3Helas3XbbrXPcP/7jP7bpjTr+exGYRtTeSjNg89+Ab7A2unVDosPwdT9C3Keg\n19FbRfSisdAVQJ1OuUehW3HqSnWRghqcPHraswsuuKBNx8+HjhDWwqrXlsz1fcZ9qRsV7YbVw78A\ndt111zatV0jps0LRjCY4XyqmEcmjgD8LIfzNukcuOdp1qmey0dbjqg7Y11ahdq3FgpeyBLX4xYvt\n3nBD9ckynAXhf/7nf5KftQtdN6jiadN0X6h20er+zo1sfe6yS3cRJj087L73vW+b1iuC/NM//VMn\nj26kpnCR7DKNSF7L+vPqLSWxFaiXgPqDP/iDNq071DcyccSkHjaRihqN+6n0cAothtpqSA2qd1aL\n1DMR9zHr1Sr0cBsd0BJbrDqoKBaZjYSOPtbBgvF3Pu20dq3ipIvWRbLLNCL5DuBJwMcGKsvgiAg7\n7rgj0LUKjzzyyM5xD3/4w9u0Xl19I6MHzOfcoNqS1FahHlcI3bGF2rXmwujk0JMzxJW1noRBex20\nmMaTOGgx1ZZovFrIRkJHIscLV2vRHPdx6oXlnbVMI5LfBZ4oIh8DPsrk6Na3r8m1QOy5556tIGoL\n8aEPfWjnuI0chapFKhWxqK3A+LO2CrWwaiGEboDNqrhRdZBWvO6miExMa2JR0NGlul92VVr6sVWY\nCoLT9yZ+1rSAakv0mmuuadN3utOd2vRGWy81bgzoWIpxPRd7gVbl+bIyjUiOR8LuC0xaViLQTFu3\nsOyxxx5tH6OeE3VsXW5UtDtKC15qhhkdlQjd/iNtIepKTFc6sLjDMeKKVv/2O+2008TtuTlVdVpX\nsHFlWxLlnBJJbVHFU9zpRtAvfrEttk6Lh07rYxYdbRXqKfx0o0Pfs/iz/q567KwWT734OGy8ACEd\nCDTuVopXPnGR7DKNSC59j/huu+3G7/3e7827GINw1VXbJkKKRU5/1tafTut+oXgWGu0C09OwaWEc\n0lrUQhQ3aLSw7bzzzhOP09t1Ov6cEsn4mro8urLWwhiLov5cYklaBBPSIpkSzHiiBf1Zp3WjJ5dn\nyOdAn1sLpiZ25+ty6zza06G9IHGA0X777TcxvRG6YcaWpH42Pbp1LdMsuvzd9Y9yZol+uVPiB10B\n1Okf/ehHbVpXGnEFpMP6dSWkX6bYctKCk3rp4jwpMUxZe5AWQJ3Wk1HHIqnPZ7UkdblTlmQNkdSf\ntTCm0pBebcRiVYJNGGMvQeo4nY4tVv1ZC32ugo4ngJ90Lm0VQvr3SVmfufup75Uey7jRIt1dJLus\nzOD/ZSW2FLTIpdyg+hjoiqG2CrUw6ojWuBJMBdukXF7QfdG0QOg8sfikhFELWxytZxHJlLUYf06J\ndFzOlPVoFUkruvLW91M/E7F7Ue+bVjDjzylhzImkRTDjzynBzI2PTTU64jz6OvoZT/2GMfr+6rLl\n7qGe1Hyj9XGuIlmRFJHvAI8MIVwgIheTXw4rhBDukNnvGNERenFAjP6cSsfuUi2G2i2rLcTcUk66\nEsoJo0ZXDilhzFl1Vkswtc9iIcb7Un2NsQWTEsOcSJYE7ujPOp2zfFKuWItgQtrKzAleSiRTz1fu\nfLo8ceMsFbyUu7epiFj9junf19q4sbq89UosyzIExS3JLutZkucA16i0372B0OKlLb9YJPU+LYap\nfsP43Lri0pWGrnjjiiZViejjcq5TnU4JYfw5JX65PH37Fy1u1PhzyoUX38O+lmRqe3xMyhWbCvaJ\nhahvP2ZKMEuszxouWn3fU1Gw+p2wNohypKxPLZi3utWtTOeaBy6SXbIiGUJ4uko/bfDSrBjawtOC\nlxLC+HPKQownA0gFVugXOGUtQloIUqISf7a4Qa3H5fKkxFCn4+9miU7NRaqmGg25CtVqSab2pazK\n+LOlHzO2glJCpJ+beNFmLXKphk6JsMZ5UlG5Ofdzyu2vt+tzxWKug9NSgpnzqKTKEvdjLlIUrYtk\nF7O7dUbl2XDol05be5C2BFP9htC1EvXQDv0yxwOqdWWjK5FUf0ncb5dyneYstL6CZ3WXpvoOU+7S\nWLxS+1JpsIlhruIsqVRT23Mu2pTFWeKutVqfFndt/NkaRav3pa4Tly0noGNy4yxL3K2p+5FyRQPc\n9ra3bdNaQGfdp+nRrWtZz926H7DTOsc4EfrF0CJnFTwdXRqPP9QCqF80/WLGFV+q/ybVV1jDdZra\nZw2isQTUWL+D1SpMiV8saimRs4pfX6zXsXw3axRu7h5a+p+tQVq5hpf+nBLZWORS70VKMGN0ntQ4\ny7hRagkAs469vc1tbmMqpzMcHt1aCf3SadenTsdDK1JiqN2lcUi7bo1a+2gsgTdW12lKyKwimcoP\nabdozl2asgQt/ajxZ522uj6teRaJXN9pyrWuxSLX35oKZIqFVf8+ljSkhSQnPikr02JhQjqqOCWY\n0G286nc5N5TJ0oc+K5fssjzHs8IiklXvmIjsA7wBeCggwMeBF4YQLs1m3Jb/IOB44MHArsClwP+d\n9+okWuRSghdbhXpfykKM+0gsLWNrxZcSxrhysohcyfhD6yD9XLh+qlK2Wlu5+7ZI1CybtRK09rFa\n8luFNTe1n8U7kBPjlGDmLMzUfU/N5ANd0dTvsn5H4rgB3X+bSuciu2viItnFIpKvFpHL1j+MEEI4\nOneAiOwCfAK4ATiaRoBfC5wtIncJIVy7Tv5DR/k/CTwTuBq4IzDzyVbj1qMWuVQ6tgpTYqjPXdLH\nEldoqUok5RrLubmsVqFlYH5u/KGlrzAm1R9XW/zmXYmUfJ+SPLm+z9S5U9a8lZywWlzGuWc/VbaU\nYEI68Cd1THy+lMUZ90nqekIPFdHpWBRdJGeD5Sm+G42orYflzh4DHADcKYRwEYCIfBm4EDgOOCmV\nUUQ2Af8InBVCeKTaVb7C6JToh1+7UePP2o2a61/Uomlxo8bolzY3/6w+LiVSOVeQZX7TnFVomcYt\nLmeKnGvM0s9UEkFaepz1uilK+j4t4zEtx6y3T2P5brmAKWvZUg28kgkqUkNd4vctNaGB9R5aRVJb\nltaZn/T31nOyOnWxiOQfhhBqraVyJHDeWCABQggXi8i5NIs6J0USOAw4iEZM50IuOq1k3JfV5aNJ\n9S/mWrwWt2rNCNL4mlZSlmBfIbJGg1rSuetYg0H6Yh1+kKrIrdZaiZhafoP4c8pCjJ8h6+9jKWfK\n+syJZEowrRZzavwkpIehpFYxAbvFOS1uSXaZdeDOIcDpE7ZvAR67Tt77j/7vLCLnAfegWa7rvcBL\nQgiDLDuhhUwLY04krTOI9HWdWsfoWVrd1lUvSgJiNLkxftPmjz9bxxJa8udE2ioE1n0pSizBaYXR\nOmvSkNZnaniK1d2aaizGn1PfISeSqXc0dV7IR4qPiQU3NcQmN2euroO0gOoG77R9yT4EZC2zFsk9\nmbAOJXAFsF7o1t6j/6cBbwZeChxKE8SzD/DISZlE5FjgWOhOSmwl1W+Ym/MyJYy5/g5Nrl8n1WrP\n9ctYogdTrqzcuXMVoq5QUrOe5ObmTFEydVtOMC15rGMRraR+95J+Q+v0d6nfLRdQUzIkpm//b0kj\nyvrsW86V6wJIPRM5t7B1xh7LHLG5caMpkfylX/ql5DVTuEh2WaYhIOMn7NQQwqtG6U+KyHbACSJy\nUAjh63GmEMJmYDPAoYceavr1S6bZKomc0+TcTKnjNNYX3TINm3X+SmuFZg2iKXF9WsTQOkON1RK1\nWJK1Xa/WxolFDHNehxKRnPaaVqwNolRZwOb2z1mSOr+1C6BkKJI+n64zUlYlpLt/UmOMYW2E7CRc\nJLusNy3d9HHfea5kssWYsjA145H4H4u2nwmcQBNgtEYkLeSmotKBN7pzPeduzQ3s16REKjU+DWzu\no1zL1hIVGOe3zCFa4mbLCV5qu9USTE2Gbc1f4qJdNHerxvpb15yAoK+wW7FG3lqGQsWWZ9+GjyXY\nKC6PZaFo6EbEphqysejvtttubbrEylxFZm1JbqHpl4w5GPiaIW81tOUXd4jrz1oMczN7lPRdpFqc\nfcenlbjgNCUt+Nw5alqFVkvQRbKLtf+6RCQtwmi9Tkl/awklc+72DRDKeXtSIqnTcUxDaso766om\n4+9j7QZaVWYtkh8EThSRA0II3wEQkf2A+9H0Meb4CM1QlIcB/662HzH6/7n1Lr5169b2YdJCGE8r\nlRqakYtU7RuEo8m9TDUf4JIozZLoxb6uT6tIptKzEsnUMTWwDgfpK5IWYcw19kpEsqS/1JqnxOU8\nLSWN0txECZpcRKwWyZLJ18fndpHMM2uRfCvwPOB0EXkFzdjK1wDfA04eHyQi+wLfBo4PIRwPEEK4\nXET+CniliFxDM6nAocCrgHfqYSUptm7d2rpMtRBaLcncRMqWte5yQQWp40r6w/pGgFotPKv4WK26\nWViSNb6bZtFEUlNirdXsk7S6aK0TA5TM0jNt0NmQFm9JQyM3Gb1uqFuFcdI7Er8DLpJdZiqSIYRr\nReRwmmnp3gUIcBbNtHTanBNgO7YF64w5Hvgp8BzgxcAPgL+mEdp1ufnmm00iaYloLRHJXBBByt1S\nwyWpSQlBLsCoZDWJofoHS6JTrcM5rG7UIQN0piVnBZUMAelbwdcUSesUhKngmjhPKtI1N52h5ftY\nLcmS+556R6FbB1nzTLJM3ZLMM/Po1tDM0frodY65hEYo4+2BZsKB3KQDSW6++eY2KCflUgXbCgOx\n68MS+VZSocXnsvRd5AJvpl1vMLcvN6l6SnRruk7jzzWtwr59jUNWNDlLYdp+zL6WqPW4nEimRCo3\nQUUqICZ+duPoTkvZLMflhnZY7q/VxZsTvL4N3rHIlgzFWiWWaQhIb2666aZ2rcaUEIJtnKP1gdXk\nok6t7tbUNXNh7ClhTA1gzg2oTuXPCWvq+jXGLFoaJyWW36IJYwprAEuJu1ZTMk6ypE/SOlm5zpNb\nJUb/JhbBrN0AKAk2KvEQpVyvsQEwaQKR+H13S7LLSomktiS1MMYPSUoYS4YvWOkbmGF10VoW1c3d\nj9Rx1sV7hwyiSW3vG3VaUmnMqqLpG+VZIrJWS7bEktTPSix4+jmwTgVnKU+JO95KiTCWxApYr6+9\nYWORdHdrnpUTyXGfZM5ysgijVbz6VmIlL23OxWJxseYsydQYUKuLtiQIxypyfV/uefcvLit9A4RS\nwph79i1lia+r96We99h6tXQBxNdMdX3kulEsDcRc/6J1ogNdhnEdaA0OXFVWSiS3bt3aDvfIWUEW\nd2mNKLjUNUsiVXPiM60wWt2tuSn3LO7WXMu4RLCGbOkvEotm2VpEIcYyXZu1stfk3svUs6/LEj/H\nKYs396ymrmntRrE0anP7cu/YpHJ64zDPyonkOGAntwRVilx/SclMNhproEnfwBuL6zU3+bLlXLny\nWCNV+/b7lbi5+vbvLQJ93cc1K8ySZz+HxXWae3ZTYpjzoqTOnWsMpGIFrI1f63tt6fqwBOUswxAQ\naZZKfAnNKlC3Bb5JM0TwXwx5/wB4Is2QwQOBT4UQDrNee6VE8uabb26nmbO0sOJ0bvqqaad+y5ET\nktSLYXUfp47LVRQl/ZiWlm2uAVATa9CJZbv1OjVI3Y+Sslld89Pmz1G7n14/YxZrLf6s85cMb9FY\nLcmSd76kG8QaKzDJLbsk7tbX0Az7eznweeAJwPtE5BEhhA+vk/cPaaYtPQ9Yf/LaiJUSya1bt66J\n9oJ8xZmabzF+sFIrapRU0CWu05z4pI6zBiWVBBXUjDQtoWRGFsu5cnlqW5gpK0TTN4As1582JH29\nBiXdE/p5Tw0biT1EKWHNldMyNtra1ZBq4Ob25Rqvk66z6CIpIremEcgTQggnjjafLSIH0szbvZ5I\nHhNC2Do616envf7KimSuf9HS9xBbkqkX0DpQWWMVPKtbxtLXN2TkboraFXTffuHcb6WxnK+GYJZE\n7qaCQ1L9hiX5S6gx4N6CtbFmDY6xBN7k7mHK3VkiklZLMhcrMGn6zJIAqRnzMGBH4NRo+6nA20Vk\n/xDCxanMY4EsZaVEMoTQhkDnWnuW2TxylqR+yHKRcxaRjB9YiyumJGq05MXIBSKk9lkHr1uZtoLN\n/QbWc/UdIG7FIkxWqz/1e8TXSAlBTlhTWO+h1eq3NGL6jkXMiaQlfyklsQYpMcyJpN6XcrcuIIfQ\nzNsdTz06XvTiYCApkn1ZKZHcunXrRJHM9S+mXKw5Cy8lstYXUGMd89g3IMZaOaUqh5xAWPLHlATU\n1JyrVGNt3NS2glL3rcTqT93P+HezBpBNS8lE6jWC46ZtiJZ0VVjWrFzvOhbRLpnkwxJfMIAluZeI\nnK8+bw7Nur6l7AlcFdYW7Aq1fzBWTiTH7lbrjPwp12luNhDLunVxGUoqVcsYLpheGK0imatsU8EU\n1v4jK0NZktbfpuQ3LLHKShoXFg9CLvqxr6eh73CQXDeIJT3pHJOwBpOlfuu4r9Bybmvj1xrdWhLp\nPs4/QHTrZSGEQ1M7ReR3WLsu8CTOmSYKdShWSiRDCO1g+NykyCkLLfcypl4m6xisEheexWqY9Hm9\n6+Raxrl5MlPnsw56LrFWprUerdGLJRNYp44pJSVSuWfXYoGn3LDxPsv2HFZ3ayode3gsFqd1+jtN\nTiQt/YvW81kn0rAMn4r3WSPVLY2tGfRJ/hdwkOG48UoTVwK7i4hE1uTYgryCAVk5kZzUeoof/lQl\nlFtRwOJuzVW2qeNywtG3n8jah6bzpO5HrrItmRmk5PtYtteYBKKkQVPiWtekngOru7Svu7YvJe7W\nnEcjdVzfeVStfbzWe5iy2mc1/tkSxDfrwJ0QwnXAN6bIsgXYCbgD3X7Jg0f/v1apaBNZKZGEyZMI\n5OaITEWt5gJVrNGtqfP1XYYnR1+XYkrwYuvTMrzEWiFZKekrLHG3DtUnGZOz+CYdE38uiWTuW0HW\njCrOCV5qe+2GiqXvMid4qXmLc67T1HE5q7Bk6sdxngWMZo35KHAj8EfAq9X2JwNfzUW21mClRDKE\n0PYf5MagpVw+uUAVS3RrboWC1DWt7iOr4FlC2q3WSc79lLpv1gp6qJlfYvpGt9YQQwtWN+i0wlqz\nMRLvm5Wbu2+QlNWjYQmai/f16SuMz52bWMQq4JPe31lbktMSQvixiJwEvExEfgp8AXg8cDhwpD5W\nRM4C9g0hHKi27Qvcc/Txl4GtIvKY0efPhRC+m7v+yonk+MHKvYwpAc31l1iEMeeWSfUDWiPnSoJL\n+lbw1smoUyJpDUDp65a1VurWPJq+wVdWUvetZMhDX0qetRqCV3KvLffNanml0tYZqkrmYc2t2Wop\nmyXSfdFFcsTLgZ8BL2DbtHSPCyF8KDpuO9bq2oOBd0Tb3jf6/3TglNyFXSSxj+HKzRFpGVuZsz4t\nlpeVeN08S99nSR+cpqQ1bu0P6+ui7du/WXJcbXerJtdwmvZ5qW0VWtzX0xw3LSVDKyzBTrn8NaaL\ns8yPnHO3Wt+xVH69bRFFMoRwM/Da0V/uuMMmbDuFdYQwx0qJJEzurLb2l+QsP4tLMVe5WYNBcvNU\nWs5taQCURHPGpF4065ADq4vWEnHY172YY0jrcahzW8+b6iu0imRf12munBaBmPTZkmfa6+SCY6zz\nsFrcsiWThJRMSOF0WSmRDCFMfGhyL7BVlFITKeewXCcub2rMopW+YfRDumgtUYFxnlQjpk+lsREp\n8RqURJDWbHjF2y0BYLlGU4mb2nL93HWsblCLMMbfrcR6tOCi2WWlRBK2PQCpPomYVP9knCe1Unru\nxbS8QCX9BbmWfkoYcyJpnbA9hTW6NVXB5cYFWu5bzuW97GJaEpRk7WqwDvLvm6fvc2T9rVL5az7T\n1nJaBc/aPVHTW+Ii2WXlRHJM7kFICWjuZUq9qCUVdK4C6BuNaKk4rYO4S/qPci+zZZ7cksCKXIMo\nVZ5U5O+kc8waq8hN62bP7ctNNmH1SFi/Q4qS4CXL+9vXO1JDvKZt7OXObX0+rcOKVp2VFckcqcrS\nahWmKljrQ97XjdrXkrRO+F4S7JP7nqmKomQQdq7VbimP1bswK8G0VvCW46xDjKyeBotI5ixJK5bo\nUmvDK1WWkqC1HPO26qYdN7qogTvzZOVEMvVgzIOhKti+EYtWkbVaNNao05J+qr6kBNQaNDIPrJV6\niRvU0nCKr5kS3b4iaY3MtI55rhlFa6Xv81oScV0yZtpJs1IiKSLtA1TSiV8STZrbXuL+KXmwpx2y\n0NeFl7tmzpIcygWWqlDjfRZvQI2ylWB9pqaNXs55DVLPZ27VnJJGlMbaDVLyvkz7HpRev69bN+Wp\niJ9di2VsuU4uQMpZMZGEyQ+G9cXMbU8N7+jryikJzMgxq4rCct+sQUnWl9biOi0RyVwlMqTrNfXb\nW3/3kqjT1L6SWaCGtNxqBNhMey5rWSy/T86CL7luyXcraaisIisrkn3DwXNLLlmjQfu2jEuwvADT\nDkBej77Wb66CtfTrWtf0TB1Xu5/KSolrfNpJwGv3L1p/txJ3vGVfyfNpzdPXes0N38o15FLXtPSh\nW4Kn3JLMs1IiKSLtbDR9w/1zImkJfsjts0aQ9m1NWwOHSvL0tVhn1WfUl9QEEzUaExZhsy5MbF0X\n1fJMWp/9ksZE38Auax7LJAM5UuIXn9v6TOjzWb+bxmpJTvpNXCTzrJxIjh9aS8stR641bRVJS+WS\n6+8owRJenosgTbkXrS9aiZWcs04srs9cYIdF9K333NrQ0Fhd1lZ36bQNr5wlaRW/mmJovYfWYRKW\n4Rh9LcncO9p3yFRJ90Qqf/x5nPYAnjwrK5K1W/0l/T8lAQ8WrC9TyVhEHW6v54i1DpnQ1OhHTQlg\nqo/HWvGW9BHNSiRLFhm29hVa8tQIwrE00KxjYq1DhGoKpiZXF6Seo3hWrtRvYp1Jx9roX89l7ENA\n1rJyIjnJ3RpTYgVZKpSca6uk1W6tnKadJitX0ehrWldq1/RtTef21RwcnRP91G/Q14Vf4p0osST7\nBuGUUPJM5iYBt+Yped4tWL0T1oZX6h3LNeZLLMlJ+9zdmmdlRXLISERrIIOl4qsRxTetizU3r6Sm\nJJAh1+IdMsCnz3lz+1IiWaMxkHoOSqYQTAljrk+zJLBMU+I6tTbWLOsv5s5XYkmWuFtTwWC5hd6H\ntHIn7XORzLNSIgmT51i1WpUlFWcuT4kwpvb1HeagKxrr9a2WZErIagy9sQpwn+vEx9S0SHKU9Cla\ngm2skaolUZaWYTjx55T4WVfX0NfJrdNoyV9DIFINmlz/4pBDiVKkoludLislkps2bWKnnXZas712\ny6mkgi9xt6YEPGdJWoTtxhtv7Hy2hNtbA2JyLqe+4wJTrqmcMKfcYVaLZqhgkPhz3z5Fqxu1xJ2f\n2mf1TpQsJ2Vdp9FicVr7/TS5bpTUPSgJALPSR+hyjWpnxURSu1s185qwuq8opLC6tqxYrExrZWsV\nBet1Uvus4+gsQRIlc+4OOQTEKpLWhtdQ9LUkrcJas0GT+601Jf3kJQJspU8QnLtb86ysSFofhJIH\npuZDVtL/YxXClOs0V1mnjstF61krjZIhGH0jZy0WZ8mwkRJKGhrWft2+/dzW4T7We2MRuZxVWCKS\nfVXMcpIAACAASURBVK1HTd+GbEmXSo4+3Qtx49JFsouL5DpYhk9YKYmorUGqgrOMf4zzWIXVcu4S\nN0+uArEIgbXVbA23T1Hbaug7HKNGsM2YEss6d89KAndS5871Y5aUTVNTDK2Nm9q/tVuS07NyIpla\nHFlT0gdnOS7XH2ZxFa63L3VM6twW8Yz3payYnGss1R9WEtIeM+24vtquxll5DfqKXwqra76vyPYd\nlmQ9zmr19+1i6du4yYmk9XktaRSWHrPKrJxIjgN3SizJkpD2kqEZJeMPc1gCCWq7aFPnzrX6Lf03\n1n47yxjUeJ+1clrGSsXa31rihrRYnCWCN6RIWrH81jX6hfsGWeXKs14etyTzrJxITjsEJCUeJVah\n1eVknQg5Vx4LfS3ZefTbxaQqIeuQiVSU4pAuzb6URJeWNIj6WpK57ZZGZY2AqZrPm9XlXTKxSN/Z\nkUoaeON74yKZZ+VE0jLdWEkwR+ohLXHr5PKkKrshK+i+/VTWe1AzgCJlVVorJ2urf0jBLHH7TzuG\nMycqtV25ln2LVkH3nSREUzLTkbWBV2JVpli032DerJRIwuTJBEpa1jmRtGy3UiKYVvrOUDOryF+r\nu9RSuVgXGc7NapPK39dFW9KfZhXJlAvf2v9c25KcFdOKh/U3zIlXieBZntcSi3XaPkmPbl3LSolk\nypLMRVn2fel15VQyaXZMSgz7ToO2yO7F3DUt38E6Q41l3tPc+UruoabEJZkbJpFyoet0bpmnIS3J\nkuNSlIh5yXFDiqRl9q2hphBcxj72WbJSIgk2MUlVKKmgFet5S/Lk6Nvvt2hBK31D7C2VmHX9xNT6\ni7lz9x2wbxXJnJDpz3rsqtVNP48GUV/Bsp7L0u9ubYT1FUmr4Fkba309ABq3JLuslEiW9EmmRDJ+\n+FIVTy5PaiYba1CANYo2hfVlssz7WXsh3hIr11K2nEjq2ZisIpnqZ7KKT0n/Ymp4jfU6VpHsK4x9\nGz05D0+qgWkNdLNSElCTErm+S5xZ+z6nfd88cCfPSokk2Ky3mi7NHKkVAnIPed8o2hQl4emakv6S\n3DlquoKtjQ5r5ZQSUMt9yhFXTrkhNqk801oXs3K19f3d4s9WkZz2+83KkqyRx5I/psTtv+qslEiK\nSPsA5R4ES0BMbcHUD28uKjF1XK6VbXUtpfKnKgprcEtJC9zKtEJQUglaXbQllqSmJAq4JOJx0Vyn\n1gWyNam+/r5DQKy/mzWgpqZIWsswr+6SjcpKiSRM/5BYI0gtlW0JcXmtlYNmWpGs8dIPtaB07Zd8\nKGEtcbfmGjd9rfF5UHIPNVaLyNqotGBtdFgbeyUi2bfx2lck3ZLs4iJZ6TypF7pkqZyUG3W9fett\nt15zSJdT6phcefpSYt3kttcU82URvBwl98BitceBbqmlzHJWqeVd6NsFYBVJax7rO9b3ORzvi+sU\nF8kuKyeSY6xCpLHOhJN6MXLX0XmswRwpak+/ZennsopkybivmlHAJceVTHVmfab6zlpkjYjV9F0B\nI4fFNW8lZ1lbxpBOc+4UQ3kacuXpe53UMVZcJLusrEhq4gdpWvck2ELsrVZhrhK0BixMy5CtaWtw\nS01ryXo/+84har0flt+nxlylline+gpzDmsFbwkAs67tmBv3aaHEPWkVL02JO77kOn3fIxfJLisn\nkuMHqOSlt07ZVTImra/rtOaDXcMFaBHGkpZxjpqWV4lIps5rPS63koolHX8uaQCUCGMKawWfel9K\nXKd9KXnurN0Gfd+rvn2NThkrJ5IWSoQxlT+Xp+Sl7zvuy0JfV1T82TocpKRysLjdcqKQGnpjGX4R\nX7PESs6JZGpsZE4kU3n6rtlY0qjU5J6p1Ds2pCjW6DOuea6a17GeY9GmEFxUZi6SIrIP8AbgoYAA\nHwdeGEK41JD39sBrgAcDvwJ8D/hn4K9CCNdart83JHxaarfwakxt14eaQRrWPNbIXYtIxqJS02K1\nup9T5yoRST0hRfw5lafEXTtkP/dQ1muN44bKXxtreSz310Wyy0xFUkR2AT4B3AAcDQTgtcDZInKX\nnNCJyK40groD8ErgUuCewKuBOwKPH6jMvY4bsvU4qxe1ZgVZYklqciH+lnU4S9ytN954YydPapad\nvkNArH2SOUsyJZJ6e+qY3LlrWpW5fVbPzbK4JGt2l8xCvDy6dS2ztiSPAQ4A7hRCuAhARL4MXAgc\nB5yUyXs/GjE8IoRwxmjb2SKyJ/BiEdklhHBdjULWFK/a/RDz7qwfsu8z9R1yfYCWIJocFpHMTQJu\nHd5isYyty42lrMJ4nxZ3q8hOG/gTU9NCW9bgFosbs2RoV2l55nmuWojIJuAlNDpxW+CbwPEhhH9Z\nJ9+tgBcBv0ejH5uArwGvDyH8m+XasxbJI4HzxgIJEEK4WETOBY4iL5I7jv5fFW2/iuaLFz/1NVqs\nqRfV+gKXvMzWKeI0JVGWJefq+6JZ+6ks4f/WwJ3URA3W4S19RbpGUFFKQC2u11yekohYzazesZiS\nd8RC7vnu+xyWlGFWfblz5DXAi4GXA58HngC8T0QeEUL4cCbf7YHnAO+k8TreDDwR+FcReV4I4e/W\nu/CsRfIQ4PQJ27cAj10n78dpLM7Xi8izadyt9wJeALzF2ifZhxLBK+mnKpmHsW/fWur68XHWMWk1\nAwSs10wdl7ufKUu0ZBLxaSeWzpXZelzJsJGS9Shr9htC/0alJjf2dhaWpNUqzHlE+g692ciWpIjc\nmkYgTwghnDjafLaIHAicAORE8mJgv8jLeMYoNuYlwMKJ5J7AlRO2XwHskcsYQvi5iNwf+BcaUR3z\nD8DzqpWQshe4ZDCwZe5FawVdUyStFk1OCC3H5SoKK5Yo1JJhJyUBRrWtk5IhLfMeJ5mihufFMtlE\nDevTQsk9tL4vlmvWYHy+GlbtwDyMxpN4arT9VODtIrJ/COHiSRkzxtP5wIMsF1+aISAisjNwGnAb\n4ClssyRfBdwEPDuR71jgWIDdd9+95LrrpuPP1mCOErddTfeRtUK0iGn8klvmvO3br2PFavFats+L\nkgZNSd+Y5Zoxfe9hSQOx79jbmq7xvr9BTOp5rdkQrp1nYA6hCfa8KNo+NpYOprEYp+GBwDcsB85a\nJK9kssWYsjA1zwAOA+6o+jQ/JSJXA5tF5C0hhAviTCGEzcBmgNvd7nbtr1/iOrWOg7POMFPSMu4r\nkpYX3TrTSc1V7OPz1RRwy/ahjxsqf46S36RvcEzNRoe1UVkyv2nNrgqrNa+vY2245dz+JY3PGbGX\niJyvPm8e1cOl7AlcFdZ+sSvUfjMjw+k+wJMtx89aJLfQtApiDqaJOMpxZ5obFbcmPjv6fxCwRiQt\nzMoVVBIAYp3v0UpK2HIRmyULSlteVKtbt6RCKulHLXE11u6rs9DX/WsViJLJua3TJlqEqcZ7WeJC\nt2Dpc19vX4rUu5gb/lQriCeEKkNALgshHJraKSK/A3zMcJ5zQgiH9S1MdO3DgDcB/xhCeLclz6xF\n8oPAiSJyQAjhOwAish/N8I6XrpP3h8DuInJgJJT3Hv3/n2kKUlLR5CqDklZuiUj2dROVzDFbQomr\nzyJs1kAVi+Dm9uXGXJb0FZbQ16rr66nI9R9bytl3YvoaWN6XvuXMdTUM6WlIfbe+/f4zaOz9F41R\nsx7jYJsraep+iazJsQV5BQZE5J40GvQJ4JnGss5cJN9KE2Rzuoi8Agg0ob3fA04eHyQi+wLfphkH\nc/xo8yk0410+LCKvo+mTPJRmYoHPA+daCjB+aPpWNDVcQalzl0Tr9cV6P1KUWFs1Bs+nzmeZki23\nr2R+0xK3sKa2R6Nmwy0nJKnVcWoHt6QoeXZrzvxkdYNaxTjVqI1JBa1N26ApEdI+hCbS1NQfOGIL\nsBNwB7r9kgeP/q/nhURE7gycAXwJeHQI4cZ1srTMVCRDCNeKyOE009K9CxDgLJpp6X6mDhVgO5rx\nj+O8l4jIfYC/pJmlZy8acd0MvC6EsG54mIiYHhKLeNWwJC3CWFuwNCmrsqTfz2qhWa0667g+y7jA\n3LR0fec3LYka1VgrNKunwfLs6WctnighdVwJuT64vv2Alu0llFjMMZagNWvDXBN/T4vVn3Nzz+J+\nVuKjwI3AH9GMdRzzZOCrIRHZOkZE7kjj3v0O8IgQwvXTXHzm0a2hmaP10esccwmsnRwghPA14HF9\nrj9+SKyt6ZQwxhWIJVgnzlNisaYocbGUVPB981gFyzqht2Wu0txcp5Y8NazPElINp5ynITVlnt6e\nE8nUwsb6fuhzTfpswWIZ5+bZLbFYU6KdawyU9J2mrpmarMJ6nZx4WWaBio8byitVmxDCj0XkJOBl\nIvJT4As005AeTjNBTYuInAXsG0I4cPT51jQCuSPwF8DB0ff+Ygjhhtz1l2YISC2mFcmUkFmDF6yu\nsRJhTFESSDCrvkLrbDElIpeahi03V+m0Iht/tljMVuLfXZfN2vDS19XiZbXmLWXL/W6aXN+c5ZnK\nLZVlCUCL99V065YcZw3CSd233CQf+l7lxg5b6pkFtCShmWnnZzSTx4ynpXtcCOFD0XHb0dW1g4F9\nR+n4WID9gUtyF145kRw/aCV9krWHc/QVRmtreqhZWGpbW6l9Wiys7tbUhN7WVTNywlpyD0v6JC1u\nf2t/aV/L1vq+pASrpL81vmepyj93HUv/YM4KswbEWMi5VFPfIWcVpn7rXONkvTqnUnRrdUIIN9N0\ns712neMOiz5/kgleyWlYKZHUfZJ9gxdKAiZquDdKgkYs1k7NCFLruXN5UvOG5qw6izDmRNJiVeb2\nlVhoGuszVeLmLiH1vFr77axjAUuCkqyWpOX6mlz+kshfyzVzx1nvhyUQar3zTcrvrJhIwuSWWe3x\niyWVSwqrmyonJNMKY4nlVCNStSTPtP2YJSKZc/H2tSRLIlWtDaIU1n6/1ED23JCH1P3IWXhWUUiV\nsy+5BrM18KZmGVKWbc4qtD4fmvG+ZembnBcrJ5LjByIVyBB/TvX/xA+WNTo1RUkgQsraKhGslKsy\nd01r1KnVQiuxBHU/pN5n2R5/7hvs0ze6NdfqtwTUAOywww4Tr6P5xS9+se4x65Vt2vwlxPcsNdQk\n535OBSlZ3zeL9Zhz0VpJnc8akFMTtyS7rJRIikj7ogw5E04Ka0BNTdcp2CwfLQS5viDr0IpUP2JO\njC1Wai7PtMNBIH0PS4ad1HR1gm0IRlwhp/rtUlZh/Lul9uWefcu5S/okSygZi2ht3KTqBauLtu93\ny3kaNNZgn1S5XSS7rJRIwraHxhqpanWd9g3htgZc9I0atQhB3/y571ASINQ3T07MLQ2AkuCYGpZk\nSmRyz0eqf856P1JWWe6aJX2Fs4rmtuQp8QDkhGgoS9Dqfs65aCd5xnJDWJwVE0kRmSiS1qjCvtaj\nNciir0iW9PX1tUStwyRywpqyPkuiW0v6Cq0NFcvvZu0rtPZtp66ZsxRKhlmUPF8W6zEnklaGEsPc\n/Uhd0xp1WmJxlpBqdFjLqbe5SHZZKZGE6S1Jy/YYS+sTZhcQk+pTLLlmyi1rzWO10FIVSl+rrkQk\nYyyVSA13q+WaJd/H2gAoEdaUFWO9HzWHQuX25SxBS/5U/2bufNYhIFYs9ZRleJsH7uRZWZG0unv6\n9nHkHv5pLTzrcX2jU3PWmqUPL95nzVPiop1WCEqiQUuoUQlqarokc2UpEdaUMFr7JC0LZ+fKabUE\nU2Kem5zB8hzl8ljFuGaQ1JCxE6vISolkibtVk3t4LJZPjb6+kjx9RdIiXiXWay5AqK9lbcXqDkvl\nSZXF2mdtbaD17Ru3jomzNG6sDTd9zTjgSqO/Z2qWofhz6t7E3yclGKntOVeyNcI4FVHbN1iwxnhM\ni2i6SHZZKZGEfi4Gawu8xEKz9sGV9Cmm8pRYWynxq+FKLnF9TkuN4IeURZKrrC19ktYIUOsqManv\nWuIdsR5X4qK1BiWlrmkdS6j3pbZbPRU5d2sqvzWPxuo6LWmEjfd54E6elRJJkcmrgMRYLAqrKFit\nQuu8oSXu1mndkCWBKiXWq1WMU2WxUjIQ3uqyslT2651jUv4Yq0WSOt+sJriw9E/Gx1nF3PJe5oTE\nIpK55yMlcrngqdQwHquwWn/rEqzehVVnpUSyL7UDakpWoOjrkrQIZl+LOT4utd1aUZS8tNY+GkuF\nZgl+iM/Vt8y56+TELyWmJX3wNftBrRZe7tlLfYfUBOtgc7GmxDNXttxKKjWDhXJYno9cHseGi+QE\nSoTEMltLiSVpFUmrVWepkKwuJ6tVWBJpWkLJ7CiWa+b6nPq6iK0VWuo7WPu2LOlSShpEJdZnCZZn\nPNeAsAhbXE7L85GbKMJqfVqiaKcdzx2CDwGJWVmRLHmBa84hCmkBtYpkX0uwr1VnddFa81jIBVml\nKj5rH15q5pgSS6GEkllpcvejRCRrWpIaa4OoxJJMHZM7LnX9kjHTuRmIUsE+JZ6oeN1Oi/s31yh0\nd6uNlRJJ3Uoq6U+zCp5VJEssSYsYWi1Ba7+fpUKzXrOEkmAbTUr8cufKld9636fFKkols0WViKQl\n4tJabuszlZuAoOZwBqvIlvRjpsSr5H2xTE046XwpSn6rVWelRBK2PQAlUaepRX3jPNbVJEqCcFL5\na/bvWUVhmnNMc/0Y6yBsi2Ba+8Zy98wSpVjb3ZrabhWslDVdMpHGkP1aOUsn5ZZN5Z90jvWuk8tv\nCQKK95VEwZa8I1Yx7TuGchVZOZEcv2g5IbL0KeZWhihZl3DIYRLTvnRWUaxpLUKZO81SWVqjTmu6\nhYekZNiI1V2rsa5sM49gEMuQGihrFGosz6F1EvGcYJZ4eEqY9L7Ujg3YaKyUSIYQWmHKiaRF5GqL\nZF+3TI5FquT7DojOWZKW4RwxNSunvlZyyXEllqjV5WyNjh1KJK1WoWbIZ90ayVxirfV9DmsKm4tk\nl5UTybGAlQheSvxy+6z9i8tixdR8gWqMP5w2+KBG+Wveg74C01dkc8eV9JHWHI+5aJS8i6l+Xevq\nK9YJGVL5c2vljgOB4rrHRbLLyonkuF8x5zq19CnWCMKxiOGQ1smQ9C2D1SpchO+6UbEMMbDuK/nd\n5vHblngNcuVMCV7J6i1DuWjd3ZpnpUQStomW1SoscZ1ap4vTlLhRrVZUzcqmJHihpCyzChSxXH8R\nzzdmESq0voK3yA0dy/0tGbaS8yqlrm+dsEMft8MOOyTLNinS31nLSomkdrdq8dNRq5C2MksmBkid\nd1LZLFhFahaUuEFzx/QV1pI8G9k9qCmpCGc1pGUZ73VJpGrue6YmeS+Jjo3HU1rKljrGWUGRHAti\n3/7FkqWhJpVnErPqp6pJjWsOKYZjrEEr1mvUFILaQlZSCVoDnuaNNSCmb59+riG43vZ4X04wU2N5\nrd4ad7cOx8qKpDVwJ3VcbixhX9eptfW5yJWYZshyThs0Yu0b6+vurTEGbajxqbln0jItXEklWmNi\ngBIsy5pprN6NHH1/g9T7H3+XVH00bT+mi2SelRLJrVu3csMNNwB2kbSuYGGxHq0VQ22LalEHDdfo\nn5x2/J91hppcOUsEtK8laRWsaa2LIacw1JSMXxwSq3iWvItDRarnnt3UVHi5KNpJw+E8unUtKyWS\nKUsy5zq1zn5jwdqaLhEFy3lzeWZF38hIqyVomXMzd+5FGzyvKRGsVGWds5yGHGs67dCdWWGd0UmT\n+241x9jG9U/qOn0tSafLyoqkdcadOP+01A4gmVYUSstTk77fzWolWwa/l1iSNazPEkrEJ2WtWMed\n6s/WwfOWc5cEaS1C5Z1bi3RM7rvVtERz1001bnK/1Tjt7tY8KyWSsM21WrL+Yo6aLjhr/pL1Akuu\nU0LNIJiSCb1Twhhfw3IP+7p4SykRSUulrimZ9tBqOVmHRlgD2OZdeVvvreU5Lgnos4qZNerco1tt\nrJRI6iEgfad+KxGiGq6+EmGcxTCHGtZrTUsw5XKOZyCxiOmiiaTVnZb6bn37Ia3Wa274wrJE0abI\n3c+a75v1t05dJ9eIGteFbknmWTmRnNQnacXa11fiXhyyDy1XhmnpG+nZV3xy98NyD62Njr6TiNeg\nr0imrLpcBa/zWLsdSvrGLP17NYJoUpS4hUui1q2r1Fhc1tbGiZVxGVwU86ycSI5f/BI3qpW+lW3N\nVR6s5exLSQOipNGQE7mSBXJrWpI5ph2KkDt3TkhKXLSWfblrWvouS7w1ucWuU9RYyLtvfks0ubWv\n0UqJgKcCd1w0u6yUSILNguxrFVrP1TfPrCwajXU+z5JylliS8xDJ1PVru7xTlVXJHKCW85bmmfck\n/KlgoxzWMlvepZxVmDqXdXmtkvfa+vtOOp8PAVnLSolkCKF9AGuLSl+LZN79YX3HcNYQSUs/4qws\nyVy5arq5S4ZwWPvD+gpe6jolq7eUiNKQlXWJmJZ4aKwT9VuO62thxp/dkrSxUiIJtgdgKAsvZwX1\ntbasWCqHGhZRyf3QpITReg8t4pkrQ06YSzwNKayWZCqd60OrKXg5Yba4kktWvaiNZWiGNVrY6l0o\nKVsqf65s1v5jS/Sxi2SXlRPJ8YMR93doLBVfycK11uNKXLSa2jP79HU/1xRGqzVuDYSyXH9W1rwV\nq4VmEcYagmcR3SGDcHJMK4xW8bMKZonb3uJ6zZ07d00XwOlZOZGcRM6dpivOXGWtZ95PHZcbftC3\n4u07y07Ji14iJH0jTa3u0pJo4ZqBOzVcYynXY87qsFhlVgvPWk7Lvvh+aMtnVoKpsQpjyZAaa6NM\nk5rgXNcr8fSZJZ4GCy6kXVZOJMcPoLVvzJKOz2F19Q0ljH1dfTVarEO5rK3COqvvVlMkh8Rawafy\n1HDBa0qsMk1KCKwNDau71ZLfOpwjl8fSf2xtEJX0fVrKMk9EZBPwEuA44LbAN4HjQwj/Ysh7AvBw\n4PbATsB3gfcAJ4YQrlsv/8qJ5PihKREvTa5vzHqukop0FsJYQ/A08whk0pT0L/a9HyXkXGO1z205\nbkiRtIh2X8HM7bNavJb8ViGyviOp6+fGSer8ua4kfY5Jxy1wdOtrgBcDLwc+DzwBeJ+IPCKE8OF1\n8t4KeAeNsN4A/PboPPcAjlrvwislkiLSPky5hyplCaZcr+NzT9rXt4KvQc1KvcTK7Wuh9XXrpo6f\n9Hla5uFuLcHa2CuJrOwrkqny9B1DmqPvvS3Jb70f1mc6JYZ9x6cumkiKyK1pBPKEEMKJo81ni8iB\nwAlAViRDCM+JNp0lIrsALxWRvUIIl+Xyr5RIAhNFMvfwlURJ1hS/kki5EvqKl/V8Q4qk5Vw1ymk5\nVwk5K6bmdawWask9LHGDpspmvU6OeYuh1apM5Snp/52WIRvolXgYsCNwarT9VODtIrJ/COHiKc95\n+ej/TdmjWDGRFJG2IzxnFep9FsEcn3vSvtru1r4MZTmVjCWsIZKpMvQVvBzz/t2GsiphuAjOkoaG\n1crNMQuryOqitUYVlzSO+rjTrY2zOXIIjZv0omj7ltH/g4F1RVJEtgd2Bu4DvAh4ewjhqvXyrZRI\nwjbRK3G39rUkF63F1tday92Pmtfp6/abFRshqtDyG+SswhKRnLbfsJQhzz0tNYJ9hmLe92YCewJX\nhbUFu0LtzyIivwl8RW36R+BYy8VXSiRFtvVJpqxF6D+UoGZlbR3Htmj0rThLrMdpy1VKSZRkzWvO\nG6vl1NclmmuIzmoqvJr3veTelIxptZZhPKRkAEtyLxE5X33eHELYrMrwO8DHDOc5J4RwWN/CjLgI\nuCewK03gzsto9O+P1su4ciI5drfmXKcWkSyxgpYVy3eocT9mca+sfWPWPDUjUNe77nrba1NTlJbA\npVdMje9iudclkzjETHpGB3jvLgshHJrZ/1/AQYbzjIdnXAnsLiISWZNjC/IK1iGE8HNgLNzniMgP\ngHeIyN+GEM7L5V0pkYRtVqN+MGoP8h+ysk+9GPMeLlBy3LwFs5RZuQdT17RsnyV9A3eGskRLsOav\n3S9smZbO2o+Zq6fW69edxRCQ0djEb0yRZQvN+MY70O2XPHj0/2sFxRgL5oGAi+QYEWGHHXZo02P6\nzlazSgw1TnOac9RkEUQmRc3Zb0q+56xcmlbL3PIdcnlmJaAlWJ596/hH64xKkxZ7iI9ZED4K3Ejj\nGn212v5k4KsFka0ADxr9//Z6B66cSE6yJHNYW3XzoMTdkqK2QC1S42LRhhWUUGLhWKzP3Di6mixa\nRVzTYqwxTrJvHquXS09/l6oL5/3bxIQQfiwiJwEvE5GfAl8AHg8cDhypjxWRs4B9QwgHjj7fBTgR\neB/wHRqL9IHAC4CPhBA+s971V0okIf1gTEtOlBZBQGfBIgihpaGwCJGVfelbqde0qKzXnAclZZlH\nnhKPSm1vzbg8iy6SI14O/IxG3MbT0j0uhPCh6Ljt6Oraj4DLgP93lO86GrF8MfAPlguvlEhqS9LK\nrPoonOEYUhSGbCjUrLyt2y3zec5KVObBLAbvT8OQcRDL8psAhBBuBl47+ssdd1j0+UfAk/pce6VE\nEmxuSUuFYh2WsCpWZQ36zohS0/1sZd4VTd9G3JDP57zvTQ0s36H20IySPH2GoC2JJTk3Zi6SInI7\nmtncDwXuCtwC2D+EcIkh7840E90+Gdgd+BLwkhDCp4zXnvgAb+SW8aIxKyvMGkavmVXZSphV4E3f\nfsxVeZdy97ZvY80qfrVEUjOL6NZlYx6W5IHA42hmcv9P4HenyPs24PeBP6PxKz8XOENE7htC+JLl\nBGN3ay4UOvXSWysdf8hmN+Decp2UtbnRqRkdm9ueel/6BggN2dVRIuwlz86QwXUpYbSucJTa5vVX\nl3mI5KdCCLcBEJFnYhRJEbkrjW/5j0MI7xhtO4dmDM3xRFFOiXNMXE9SR3zF+0oCO1IP7EaroK2W\n17xfOutvtcjUvIc1g4CmOZ/lOkM+K/N+DkvoG+BjFVbNMt6nIZm5SIYQSpXiSJqxMqepc90kOZxg\nYQAADYVJREFUIu+lWfJkpxDCDeudZNKDYZ1Hse8Yro1M/P37is+Q0YN9r7PIzGIsoFUkaw81qek+\nrnX8omCdGWzSccvSUJwXyxS4cwhwcVi7kvQWmmVUDmTbrPBJpp2WKfXAlYhCToznjVVgdJmtg5tr\nYr3vy1rZzYLa/YY1+zE3Wv9mzSCeGuMs3ZKcnmUSyT1p5vCLMc8EDzaRtCwXtAiW5LwnO1+ElylV\nhkUbmrEsDDXsZMhhOMvyeww521RJEI+LpI1lEskiRORYti2JcsOf//mff3We5VkA9qIZXLvK+D3w\nezDG7wPcSaXPoLknfdhQ93OZRPJKYN8J27MzwYdmiZbNACJyfsjPTr/h8Xvg9wD8Hozx+9Dcg3E6\nhHDEPMuyiCzH4oQNW4D9RWSXaPvBwC9Yu2q14ziO4/RimUTy34EdgMeON4jI9jQT3Z5piWx1HMdx\nnGmYi7tVRB4zSt5j9P/3ROQnwE9CCOeIyL40S5gcH0I4HiCE8EUROQ14o4jsAFwMPBvYH8Pq0iM2\nr3/Ihsfvgd8D8Hswxu+D34MsMqdJe1MXPSeEcJiI7Ecjgq8OIfylyncL4HU0kwrsDlxAMy3dJ4cs\nr+M4jrOazEUkHcdxHGcZWKY+yYmIyD4i8n4RuVpErhGRD4jI7Y15dxaRvxaRH4jI9SLyGRF54NBl\nrk3pPRCRe4rI20TkQhG5TkQuFZF3i8j+syh3Tfo8B9F5XioiQUQ+PUQ5h6bvfRCRg0TkfSJy2eid\n+KaIvGDIMtemZ51wexF55+hduF5EviUirxWRXYcud01E5HYi8rejOu260TO9nzHvhqgXa7HUIjmK\ndP0E8BvA0cBTgDsCZxsf6rcBxwCvAh4B/IBmwvS7DVPi+vS8B4+nmcnoTcDDgZcCdwfOF5F9Bit0\nZSo8B+PzHAC8AvjxEOUcmr73QUQOBf6bZvX2Z9I8E/8fzUK2S0GfezDa/3GaletfSfP9/wH4U+Dt\nAxZ7CMYLSVxJs5DENCx9vViV8dIoy/hHs0r1zcCBatv+wE3Ai9bJe1cgAE9X27anWfH6g/P+bjO6\nB7eesG1fYCtN0NTcv9/Q9yA6zxnAycAngU/P+3vN+FnYBHwN+Nd5f4853oPfHdUJD4u2nzDKv8u8\nv98U92GTSj9z9L32M+TbEPVizb+ltiRpJj0/L4TQjpEMIVwMnAscZci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"text/plain": [ "" ] }, "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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WI3uRh3Ab56Ha4acd1zwl7U+are6NwIak7/DLga/XWi5M0glQ9R/l8xGxVo5z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\nr5UNPoYJB09gexYzit6XbBt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"text/plain": [ "" ] }, "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": { "collapsed": true }, "outputs": [], "source": [ "# Create FWI gradient kernel \n", "from devito import Function, clear_cache\n", "\n", "def fwi_gradient(m_in):\n", " # Important: We force previous wavefields to be destroyed,\n", " # so that we may reuse the memory.\n", " clear_cache()\n", " \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", " ntime=nt, coordinates=rec.coordinates.data)\n", " objective = 0.\n", " \n", " for i in range(nshots):\n", " # Update source location\n", " src.coordinates.data[0, :] = source_locations[i, :]\n", " \n", " # Generate synthetic data from true model\n", " true_d, _, _ = solver.forward(src=src, m=model.m)\n", " \n", " # Compute smooth data and full forward wavefield u0\n", " smooth_d, u0, _ = solver.forward(src=src, m=m_in, save=True)\n", " \n", " # Compute gradient from data residual and update objective function \n", " residual.data[:] = smooth_d.data[:] - true_d.data[:]\n", " objective += .5*np.linalg.norm(residual.data.reshape(-1))**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 57237.215627 \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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IPLONPjV5Zvz942D52ZLmJD0g6SJJBwXrDwRuNrPNwfL1RA50/5TdVuCmDDuA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\n5/pHwKrU1Sz72t+lPWUzbTWuZbFuGc3dnwPXGPl8g3KWTKo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ArpLG9VRQ0g7A7k3KXglsAhwIEBFrCoGz4VfAZsDWvav6+hw8zcysP+wCrASK\nvbz52euENmUBHsonRsRCYEWbsgD7AM8Ci5ucu0fSGkmLJV0iaXSbawEetjUzq50u3aqytaR7c++n\nR8T0PlxvNPBsREQhfWnufKuyAMuanFvWqmw2V3o48MWIWJ07tRg4G/glabh3L9Lc6V6S3hkRL7eo\nj4OnmVndBGLN2j4HzyURMbGnk5L2B35a4jqzI2LfvlamNyRNAK4CZgH/mj8XEbcCt+aSZkn6DfAj\n4EjSwqQeOXiamdVNwOrVla+2/QXw1yXyrchelwEjJanQ+2z0GpvNVTY0epyjmpwb1ayspJ1IwX0h\n8OFCr7MnM0mrbd+Fg6eZmXVbRKwAHumgyHzSop238tp5z8Z85cNtykKa+5zTSJQ0FhheLCtpe+B2\n4HlgUkQ830E9S/GCITOzmokQa1Zv3KejArcAq0hDonlHAQ9li396+D7xBPBAD2VXAT9pJEjaBvhZ\n9vZ9EbGkgzoeDGxBmgdtyT1PM7OaScFzcG2SEBFPS7oQmCrpBeB+4AhgP2ByPq+k24EdI2J8Lvl0\n4CZJl5LmMfcAzgT+PbvHE0mvI81jjgWOA7bPeqENDzd6oZJuJfVOHyatAt6LdB/qA6RNFlpy8DQz\nq5tg0AXPzBnAcuBkYFtgAXB4RNxUyDeMQnyKiJslHQp8Gfg48D+kHYbOzWV7EymoQvMA+F7gzuzf\nvwWOBbYnDSc/CVwCTIuIle2+iIOnmVnNRIjVqwZf8IyINcA52dEq3749pF8PXN+i3CJAJetySpl8\nPfGcp5mZWYfc8zQzqx2xdo3/vFfJrWtmVjcBDM45z9pw8DQzq5uQg2fFHDzNzOomgNWl1s1YL3nB\nkJmZWYfc8zQzq6MyO7larzl4mpnVTeDgWTEHTzOzunHwrFypOU9J20v6pqQ5klZIimw3+3ye/SV9\nX9JCSS9JekzS/5P0xibXix6O3bvztczMzKpTtuc5nvQk7vuAu4H3N8nzSWAkaZ/B3wN/BXwFmCRp\nt4hYXsj/HeDSQtrvStbHzMx6EqRnjVhlygbPuyLiTQCSjqd58PyniHgm9362pN8Bs0mB99uF/H+M\niLmdVtjMzNoIYM1AV6LeSgXPiFhbIs8zTZJ/lb2+pZNKmZlZH3nOs1JV3+e5T/b62ybnTpS0MptD\nvUPS31VcFzOzoaGxYKgvh7VUWfCU9HrgIlLg/FHh9Azgn4D9gSnAG4A7JO1bVX3MzMy6pZJbVSRt\nTHrS91t45P+zAAAT2ElEQVSAvSLiNb9jIuLo3Nu7Jd0APARMA5r2QCVNIQVaRowZUUW1zczqwbeq\nVK7rPU9JGwHfJfUqD46IB9uViYgXgB8D72yRZ3pETIyIiVtsM7xr9TUzqx0P21auip7nJcARwKER\ncXsF1zczs1bc86xcV4OnpK8DxwPHRERxnrNVuRHAQcB/d7M+ZmZDloNnpUoHT0mHZv/8m+z1QEnP\nAM9ExGxJ/wJ8lnQ/5+8lvTtX/JmIeCy7zqmkTRdmAf8D7AicCmwLHNmXL2NmZtYfOul5Xlt4f3H2\nOhvYFzgwe39cduR9F/h49u8FwIeBQ4GtgOeBnwOfiAj3PM3M+so7DFWudPCMiJZPVo2IfUte50bg\nxrKfa2ZmHfIOQ5XzU1XMzOrGC4YqV/UOQ2ZmZrXjnqeZWd2451k5B08zs7px8Kycg6eZWR05eFbK\nwdPMrG7c86ycFwyZmVm/kLSRpKmSFkl6WdIDkg7poPzBkuZlZf8g6UxJwwp5zpIUTY71dr2TtIuk\n2yQtl/QXSVdIGl2mLu55mpnVzeDteU4j7Sh3BnAf8BHgWkkHRcTNrQpKmgT8ALictJvdHsBXgdcD\n/9KkyN689m7XpYXrvRm4E3iEtGnPSOAC4CZJe0fE2lb1cfA0M6ubQbjDkKQ3kgLn+RHxtSx5lqTx\nwPlAy+CZ5bknIqbkym4JnCnpGxHx50L+XxYfh1lwGrAJ8MGIeDar459Iu+YdDFzfqjIetjUzq5vG\nDkN9ObpvErApMKOQPgPYVdK4ngpK2gHYvUnZK0kB8MD1CrU3GfhxI3ACRMRdwBPAh9oVdvA0M6uj\nwfc8z12AlcCjhfT52euENmUBHsonRsRCYEUPZZ+UtCabG/1XSa9rnMj+Pa54vVx9WtUF8LCtmZk1\nt7Wke3Pvp0fE9D5cbzTwbEREIX1p7nyrsgDLmpxbVij7KPAFYB6pD/5+4P8A7wDel+UZBaiH6y0F\ndm5RF8DB08ysfrqzYGhJREzs6aSk/YGflrjO7LIPDumGiCgO7f5U0lPARZL+PiJu78bnOHiamdVN\n/6y2/QXw1yXyrchelwEjJanQ+2z0GpfSs0YPcVSTc6PalAW4CrgIeBdwO/AsqZWaXW90ies5eJqZ\n1U4/rLaNiBWk2zzKmg9sBryV1857NuYXH25TFtLc55xGoqSxwPA2ZdcTESskLWLdXGreBNKK25a8\nYMjMzPrDLaSQfmQh/SjgoWzxT1MR8QTwQA9lVwE/afPZjXK/zKXNBD4gaatGgqS9gR2zcy2552lm\nVjeD8GHYEfG0pAuBqZJeAO4HjgD2I9028ipJtwM7RsT4XPLppA0MLiUNw+4BnAn8e/4eT0n3Ad8F\nfkdaFPQ+4CTgloi4I3e9C0jBd6ak84CtgH8jBdgftvs+Dp5mZnU0OHcYOgNYDpwMbAssAA6PiJsK\n+YZRiE8RcbOkQ4EvAx8H/oe0w9C5hbK/z66/HWl09XHgbFJgzF/vj5LeC1xI2rnoFeAG4HPtdhei\nWDkzM6uBQbo9X0SsAc7Jjlb59u0h/Xra7PwTER/poD6/Yd3tKx1x8DQzq5tBuD1f3XjBkJmZWYfc\n8zQzq5tBuGCobhw8zczqZpDOedaJg6eZWR05eFbKwdPMrG68YKhyXjBkZmbWIfc8zczqxguGKufg\naWZWN14wVDkHTzOzunHwrJznPM3MzDrknqeZWd14tW3lHDzNzOrIC4YqVWrYVtL2kr4paY6kFZIi\ne4J3Ps/YLL3ZMbKQd3NJF0haLOml7Lrv6d7XMjMbwhpznn05rKWyPc/xwOHAfcDdwPtb5D2P9Z/C\n/ULh/eXAB4DTSM9a+zRwq6Q9I+LXJetkZmbNeMFQ5coGz7si4k0Ako6ndfB8PCLm9nRS0tuBjwLH\nRcQVWdpsYD7pgaWTeyprZmY2GJQKnmWeqt2ByaSp7Gty118t6WrgC5I2i4iVXfw8M7OhxQuGKlfF\nrSrnSVot6TlJMyXtWji/C7AwIlYU0ucDm5KGiM3MrLcaOwz15bCWurnadiVwKXAb8AzwNuB04BeS\n3hkRj2T5RgPLmpRfmjtvZmZ94TnPSnUteEbEYuBTuaS7Jd1C6lGeARzdl+tLmgJMARgxZkRfLmVm\nZtYnle4wFBFPAvcA78olLwNGNcne6HEubXKOiJgeERMjYuIW2wzvbkXNzOrEt6pUbiA2SZgPfFjS\n8MK85wTgFeDRAaiTmVl9eMFQ5SrteUoaA+wN/DKXfCOwCXBYLt/GwBHAbV5pa2bWR14wVLnSPU9J\nh2b//Jvs9UBJzwDPRMRsSV8H1gJzSUOvOwNTs7RzG9eJiHmSrgEukrQJsBA4ERgHHNnH72NmZt4k\noXKdDNteW3h/cfY6G9iXNBx7InA8sCXwF+AO4CsRsaBQ9lhSQD0HGAk8ABwQEfd3UnkzM7OBUDp4\nRoTanP828O2S13oJ+Gx2mJlZt7nnWSk/VcXMrG68YKhyDp5mZnXTWDBklal0ta2ZmQ2AQXqfp6SN\nJE2VtEjSy5IekHRIB+UPljQvK/sHSWdKGlbI09OjMUPSF3L5Pt5DnlJP9nLP08zM+ss04FTSrnP3\nAR8BrpV0UETc3KqgpEnAD0iPtPwssAfwVeD1wL/ksu7ZpPingaNY/3GZkG6bfCr3/sUyX8TB08ys\nbgbhrSqS3kgKnOdHxNey5FmSxgPnAy2DZ5bnnoiYkiu7JXCmpG9ExJ8Bmj0SU9IM4N6IeLjJdX8d\nER1vzuNhWzOzumksGOrL0X2TSE/OmlFInwHsKmlcTwUl7QDs3qTslaRNdw5sUXZv4K3Ad3tR5x45\neJqZ1dHg22FoF9LTt4q9vPnZ64Q2ZQEeyidGxEJgRZuyx5C2fr2qh/P3SFojabGkSySVerKXh23N\nzKyZrSXdm3s/PSKm9+F6o4FnIyIK6WUeR9k41+xxlst6Kitpc9Kc5o8j4i+F04uBs0nbx74E7EWa\nO90re4zmyy3q4+BpZlZLxRDVuSURMbGnk5L2B35a4jqzI2LfPtemdw4GtgK+UzwREbcCt+aSZkn6\nDfAj0laxl7e6sIOnmZn1xi+Avy6Rr/H0rGXASEkq9D5bPo4yVxaaP85yVIuyHwOeAX5Sop6QVuO+\nSHqMpoOnmZl1V/ZIyUc6KDIf2Iy0eCc/79mYr2y2EjZfFtLc55xGoqSxwPBmZSVtC7wf+I+I6PoS\nKC8YMjOz/nALaR1v8elZRwEPZYt/moqIJ0gPEGlWdhXNe5ZHAcPobJXtwcAWvPYxmk2552lmZpWL\niKclXQhMlfQCcD/pOc77AZPzeSXdDuwYEeNzyacDN0m6lLRydg/gTODfG/d4FnwM+E1EzGtWH0m3\nAreTeq0rSQuGTiUF6e+1+z4OnmZmtTNod4Y/A1gOnAxsCywADo+Imwr5hlGITxFxc/Zc6S8DHwf+\nh7TD0LmFskjaA9iVFAx78lvS4zG3Jw0nPwlcAkyLiJXtvoiDp5lZ7QzCLYaAiFhDeo7zOW3y7dtD\n+vXA9SU+Zx7Q7jGap7S7TisOnmZmtTNoe5614eBpZlY7g7PnWSdebWtmZtYh9zzNzGrHw7ZVc/A0\nM6sdB8+qOXiamdWS5zyr5Dl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Dq2rgVgQ9Op4XXzC/4MTULP15iVVZyq7jN9j5tjP4LmAVXV4HLo4/b+N7yfn7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\nnNlhoe844nDrKbXYJJ9jE8ePpXAgGZdqG3boq87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RWseiZDI5DRu/HLId2DpS9wevMQfc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\n", "text/plain": [ "" ] }, "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": { "collapsed": true }, "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 57237.215627 at iteration 1\n", "Objective value is 39749.780543 at iteration 2\n", "Objective value is 26149.841154 at iteration 3\n", "Objective value is 16186.648824 at iteration 4\n", "Objective value is 9285.255823 at iteration 5\n", "Objective value is 4789.281485 at iteration 6\n", "Objective value is 2008.388293 at iteration 7\n", "Objective value is 800.837208 at iteration 8\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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RGCVqovVqG3FmdxRZZtbIbFPbTUD5cbOxWMpKSYilOWhTlEqVSVks5/WbknRj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"text/plain": [ "" ] }, "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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XPjiOTdt38dgVg+nXUQFBvpRoOEi0Q2IOQbN+7NKSoHNgDyqOmCgiIhHp3KIB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\nOasf23eV8ev/To+6nLSmcCA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"text/plain": [ "" ] }, "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": "3.4.3" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 1 }