{ "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 these two terms in the tutorial too.\n", "\n", "## Notes on the operators\n", "\n", "As we have already described the creation of a forward modelling operator, we will only call a wrapper function here. This wrapper already contains all the necessary operators for seismic modeling, imaging and inversion. Operators introduced for the first time in this tutorial will be properly described." ] }, { "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, FWI is computationally extremely demanding, even more than RTM. To keep this tutorial as lightwight 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", "We will 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": { "needs_background": "light" }, "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_circle=3.0, vp_background=2.5,\n", " origin=origin, shape=shape, spacing=spacing, nbl=40)\n", "\n", "model0 = demo_model('circle-isotropic', vp_circle=2.5, vp_background=2.5,\n", " origin=origin, shape=shape, spacing=spacing, nbl=40,\n", " grid = model.grid)\n", "\n", "plot_velocity(model)\n", "plot_velocity(model0)\n", "plot_perturbation(model0, model)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "assert model.grid == model0.grid\n", "assert model.vp.grid == model0.vp.grid" ] }, { "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 allows to record most of the information necessary for inversion, as reflections usually lead to poor inversion results." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 7, "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(vp=model.vp)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Compute initial data with forward operator \n", "smooth_d, _, _ = solver.forward(vp=model0.vp)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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BvO7VVrU+F/QRcBJw4ZTlu4FnzPvks7JwS7JPh211nFeuddr+1Tyuc9Esk1W4Fejbr7JZAkBW5e9sJa3P2VnAc3M4cMOU5XuBHYP+MQOwUEtSddjeyajDtgCvZ9Rh+6hSym3B4+wEXg1cO69rnQfzfFE2o7gtW8OxbNczJC3Px1Z+Xjfi99gs1ucA9/0IEblMze8qpezqe9CNYtHu1r4dtmN+G/h94ASW0GW8lRuXKMsQdLGRx9rKDPEMBqMge59nSKzrGeK5sY6xbL9BkD2llJOd9Tcw3WK0LMwNZdECM7XDVkTGHbbriqSIPAf4buDHgffN60JnZV4N7LK9JPMUkpZjz7rPPBu0jSD6fGx0IzxPy22j35H6/PP6cFvU37mA53s3o37JmhOBy+d98llZtEj26rAVkR3Am4D/WkrZu+iXY1UsxKH/zujxItv1PdY998wvMG4zPh/bttlhCVHLachrG1pMN+K9mpfFuai/cwEi+X7gjSKys5TyJQAReRjwOOCV8z75rCxaJPt22L4B+CfgXdETisiZwJkAhx56aHS3CUM+MMsghBvhnrS28/YfUuT0sVrO2brdrPu0PB/RfeYpeJbQ6mMNLax9LeghryXKPKNwh7I4FxRk9HbgpcCFIvJqRrEprwOuAc4fbyQixwJfBM4ppZyjlj8BeCDw4LVFJ4vIrWvX/8dDX+zS9edZiMgPMkoc/e4yw11c6zDeBXDUUUcVtXzwaxyzEWI4z6/UviIXFTZLzDyRs9ZZ54xec19hHeL5sp4j7/nS66zp6LG0+HnHipwz+k5Y56zp+9tolsGtO6T12ffvmbdIllJuE5FTGXkF3w0I8FHg7FLKrfoSge3sn4XxWuAJav5n1v6N9xmUmURSRA5i1B94FKOyQHuAz5dSrgoeok+H7fnA7wJfEZHD1pYdAGxfm7+jlHLnehcw1AOwUVbhvMSwRTxaxE/v0yJ43j7WdnfffXfo2uYlzEOwKMHavn371O088YpsF90n+htGxTTCMvfrLsr6XDSllKuBp6+zzVVMEb1SyinzuarprCuSIrIdeCrwk4zU+yC6F15E5J+B/w94uw7KmUKfDttHrv37qSnrbgD+E/DmdY4xM5vFKuxr7Xj7Ww1Xi3h5+1jbaZFrOY81Pct21j7WtQxtSVrPodenqNdFpqPbeYKnRdY7jyWS0fNYRPtYLVfw0JboZrE+h9x/q+GKpIj8GPBrwNHAhxnlJv49cB1wByML8DjgexkJ6c+LyLuAV5dS/nXKIft02D5xyrI3MzLHfxbwxHkmljmKbBGWoCdeEVHy1nn7aDHU05ZgRreztonuU2P9Hi0u2r6uU08UtGBFxSuyj14e3a7eZ0gBb+n7XJQlutHW5zzdtavCepbkW4DfAN5VSrnR2OYTwHsZCeT3Aq9gFCjzuinbNnfYllI+Xh9MRG4EDpi2bj02oxB667wGelZL0BMvy40ZFby77rpr6nJvO2+fyHbRc7YIs6bF+tRErUJNX8Gq9z/ggAOmrtPL9XR0O+86re08YbXcwt4+LZbovAR0UdZni4CnSHZZTyR3llK+Hj1YKeVvgaeJyL2N9X07bHszL3GMPFhDBIBE+uA8kdSCYQme3sbb35oG+OY3vznTNMA3vvGNdbe7885ut7M+b8s59XxEZMEWUM+V3IJlMVpCCDGRO/DAA6dOe+v0dC2S97rXvdbd56CDDpr5PPW1WQKsp6O/h/5tvf0jFrznFm7xGizK+px2vAVFt24qXJGcRSCj+/XpsJ2y3SmzXlsf+lqFQ7hEI+7O2tKx1lmiUAuJJURa1PS0t06LXL2PXheZ9tbpY88zoGaeWB8xniu4L7rx18KmhVBPe+u8faxj6+W1sFrrPAHX66yPBv18eO5nvc4Tv76u3I22PpMu4ehWEflW4LBSyifW5u8DvAb4N8CHSylvnc8lbixRYWxxg0aswmgfmmXt1fMRy8sTPEuUvv717neRnrem77jjjs4+el5vV4t2Mj/0c2TdNw8tSve+9z6H0n3uc5/Odnpeb2dN1/OWAHvCGrGMa5G1rEzPmrcEdF7i6Z2zhbQku8ySAvJW4B8Y9UEC/Aqj/sXPAG8SkVJK+a2Br28h9BXCet08rULLooi6FCMWXt0gWuKll99+++2dffS8nq6FMdlaWM/hLbfcYu6jBfPggw+eOl3PWyJbi7ElrBGrtJ63rNJov3CL9dlSLKKvxZki2WUWkfwO4LcARGQbo8T+V5RS3iQiv8woWGfpRXLWB6Aldy4SKAO24HmutYj157kxtchp8bKWA9x2223rTqf4Ja3oZ0dPX3/99Z3ttAAecsgh605DV1i1YFrLPbdwxCqFWJBULawWLSkxfXMrUyS7zCKShwLjp/a7GBUFGJcA+jjw8uEua/4MbRValqB2b9b7tLg+LcHTjYsWL+iKnl6nv+71dApesoxYYrpnzx5zHy2s97vf/aZOa2GtrVe9zrJePWGNBj9pMbRcvF5KTEvhiOzHjDGLSP4rcDzwV8C/A75YSrlmbd19gbusHZeJsdAN3VcYSXnwojkt12ctWJbr8tZbb506DXDzzTdPpm+66aap15kkW5GIlaprOt///vfv7H/f+9536rTlIq7XRYOStIDqdsazPlv6PtPdOjuziOT7gV8TkX8DvBCV1wh8O/ClAa9rbkREMtI/6OXrRdMXLDHU1l7t+tQCqK0/LX56OkmS/dHv7969e6dOQ1dA9bS2RLV4Qlc0LUvUixCOWp8R962XezuNTAHZn1lE8pXAvYEnMRLMX1HrTgc+MuB1zYVSykT0vJw2yxLU+9RuUMtF6kUIagG0LEFtBQLceOON5rokSYbF+vjUFudhhx3W2Uev0x+/Wkxr69OK6vWCivQ63WZ5RRymWZyeJy2ZQSRLKbcBZxjrvn+wK5oz00QyWsUlGhxjRX16blBtFWohTKswSZYP/e7WH6va4tQCqq1Pz61rRfHW1qdut7Rgel6ySMBQimSXTTNU1hCUUiai55Uq62sVasHTwqjFD7oCeMMN6w2CkiTJZsCyPnfs2DcAUv3BrMVUC6YWVs/6tASzjp2YVlAhRdFnvQLn7wd+uZTy95GDrZWjewlweynldwa4vkG55557Jlae11dopUNYkaHQfRm0GOoAgTrJP0mS1UF/CNcfxdpF+oAHPGAyrcWzHjQ+EqFbF2SY1vfp5W8n61uSVwGXisg/AL/PKLL106WUSWsvIkcBjwH+PfA04F+AF83lantSSpmIpBdBaomhJYTQFcNMoUiSZBb0B/S//uu+AZS0K1eLJ9gCqr1fdd6oPs9YMLNP0me92q0/JyK/CZwN/DdGuZJFRG4G7gQOY9/4kp9Y2+6CUspS5hbcfffdEzdHtK/QsgprkUySJBka/cH9la98pbNOt1tWVazaSzat77Me5SdFssu6fZKllC8CPysi/xn4PkZjRx7FKNL1euBzwF+WUr48zwsdgrvvvnsiblagDHTDwK+77rrO/kmSJMuAbrd0e/bABz5wMl17taYNAlC3aymSXWaJbv0GcPHav03JXXfdNRE9LYR1+SuvzmSSJMmyoYXua1/72mTaq751+OGHAxkrsR4rFd16xx13sHv3bmB/N0SSWNR5cFYkou7/qcP1rcRvr0CFfkZ1Y+dFTGc3QKKpP/j1/Fe/+lVg/3S2tCS7rJRIllJSHLcwRxxxxGT64Q9/+GT6uOOOm0wfe+yxnX2+5Vu+ZTL9kIc8ZDJ95JFHTj0udEP5rbJlQ2MVm6ijJHUd02uvvXYyPW4Qodu39eUvd3tJrrzyysn0F7/4xanHTbYGVluYItllpUQy2TycdNJJk+lHPepRk+lv//ZvN7f7tm/7tsn0t37rt87x6haPJcYPfvCD53bOf/qnf5pMf+5zn5tMj70xYz7zmc9Mpj/96U+b2yWbgxTJLimSydx50IMeNJn+vu/7vsn0937v93a2e8xjHjOZPvnkkyfTdXWSZDHoDw09ffrpp5v76Mjwyy67bDL9iU98orPd3/7t306m/+Zv/mYyrdMfkmQZSJFMmtGuyic+8YmddU94whOmTh9//PHzv7Bkw9AfNKeeeurU6ZorrrhiMn3xxRdPnQa46KKLJtN1OkQyDJkCsj8pkgkAxxxzzGT6R3/0RzvrfuRHfmTq9KwjDCTJNPSHk55+8YtfbO6jq8R88IMfnDoN8Gd/9meT6auvvrrXda4KixBJETkaeBPww4zy7P8COLuUsu5NWqvs9jrguYxy9f8BeEUp5S/nca0ziaSIfBfwS8DjGV3cY0opnxKRX2WUK/mhOVxjMiDaqnvqU586dVoLZpIsI/oD7clPfvLUaegK45/+6Z9Ona4t1lVn3iIpIgcDH2NUkOYFQAFeD1wkIo9aG0zD43eBHwX+C6MhGn8G+LCIfF8p5R+Gvt6wSIrIDzBS+y8BfwC8VK2+B/gpIEVyg9BD4Dzzmc/srNPzT3va0xZ2TUmy0egPvpe97GVTp9/3vvdNpv/wD/+ws7+eXxU35AL+zjOAncAJpZQrAETk08AXgLOA86wdReQ7gOcA/7GU8s61ZRcDu4FzGA3bOCizWJLnAh8G/gOwna5Ifgp4/oDXlRjoXLznPOc5k+nnPve5k+nHP/7xC72mJNnM6A/H+iPyJS95yWT6ggsumEz/wR/8wWS6TthP1uV04NKxQAKUUq4UkUuAp+CI5Nq+3wTeq/a9S0TeA7xSRO5VShk0z28Wkfxu4GmllCIi9afGHuCBU/ZJGtBC+Pznd789XvSifbXjH/3oRy/smpJkFdEfnHr6jDP2Da37zne+s7PP7/3e702mN6OALsCSPAm4cMry3cAzAvteWUq5vVq+m1Ed8ePXpgdjFpH8OnCwse4hQI4OPCMvfOELJ9NnnXXWZPqxj33sBlxNkiRR9Adq/bH6tre9bTJ96aWXTqbPP//8yfS73vWu+V1cDxYU3Xo4MG0A3b3AjinLo/uO1w/KLCL5V8DZIqK/AMa/5osZdcQmFTog5qd/+qc76374h3940ZeTJMkC0R+8elp3lQD89m//9mRaBxVtBAOI5BEicpma31VK2dX3oBvFLCL5S8AlwD8Cf8xIIF8gIucB3wOstO/vcY973GT6pS/d11377Gc/eyMuJ0mSJab+QNbz73nPeybTb33rWyfTl1xyyfwvjEFEck8p5WRn/Q1MtxgtK7He99gpy8cW5N4p63oxyygg/ygijwfeALyKUW7LS4H/AzyhlPL5oS9u2dD1QLUQQjdaTkeaJkmSzIL+sH7Ws541mf7N3/zNznZaQHWd3U3AbkZ9izUnApcH9n2qiBxc9UueCHwDuGL6bu3MlCdZSvkU8G/XkjkPB26c0oG66dGBMz/zMz8zmdZCeNRRRy30mpIkWT30B/fZZ5/dWadTu7SA/tZv/dZkuiVwaAF9ku8H3igiO0spXwIQkYcBjwNeuc6+/wt4LaMAn/+xtu8BwLOAjwwd2QqNFXdKKV8H/mXga9kwnve853Xmf+7nfm4yrWuIJkmSLAv6Q/3Xf/3XJ9PPeMa+ANG3vOUtnX3e/e53r3vcBYjk2xl5IS8UkVcz6rp7HXANMIluEpFjgS8C55RSzlm7tr8XkfcCbxaRA4ErgZ8GjgN+Yh4XO2vFnUcCPwYcDdy7Wl1KKS8Y6sLmwc6dO/nVX/1VoOvGSJIk2SroD3udjlLPv/e9o1TDX/zFX5wsW0R0aynlNhE5lVFZuncz6rr7KKOydLeqTYVRTn5d//JFwK8wqtJzGKM4mdPWPJ2DM0vFnecD72Ck+tcy8v9qlr4cxY4dO1Ick7mhR3ivR3vXtUb1tC6vVtfCPeCAA6ZOJ8kQjNvCN7zhDQs/91qN1qevs81VjISyXn4H8PNr/+bOrNGtFwIvLqXk8OfJUnP33XdPpm+6aV8Krx7KCboDGOv+mzvuuGMyXQ9Oq+e/+c1vTqa1MGohrK/HYvv27Z15LZpaJA888MDJ9L3uda/OPnr+Pve5z2Ra97Pr8SjrYcgOPfRQ83qS1WBVyu9FmUUkHwz8VApksmhuuGFfVPiePXs66/bu3RfxrcVQT1tCCF0x/PrXvz6Z1kL4jW90nSaWMGohrEUy0vDUUdFaJLVgWYIJcNBBB02mtWDY4iEvAAAgAElEQVTe+977ekcs8YSugGrB1NOHH97N1z7iiCMm0zt2rJcLniw7KZJdZhHJS4BHMvIdJ0kTt9++Lxj6q1/9amedHnBXi6EWyRtv7H6jactQi6E+jxZGLYTQFTwthpYQ1vNaDLVI1g1Ni0jqeS2SloVZz2sB1eKpl2vxhK5oHnzwvgJbnvV52GGHTaa1SGrx1ANvAzzkIQ+Zep5k40mR7DKLSL4UeJ+IXA98hClJn6WUe/bbK9my6IFv//mf/7mzTgvgtddeO5m2xA+6gnfLLbdMprXIafGDrujpaS1yUcGzLMHaKtTzukHxGpcWkbTW6em6H9Pq47Qs0VpktYBaYloLqxY5LbL3u9/9JtO1sFpieuSRR06mtZACPPShD51M6wG/k2FJkewyi0h+Bfh74AJjfZnxeMmSUvfbXXnllZPpa665ZjKthVBbgdB1g2rrz7L8wLb49HTt+tTzWuSs6RbBi1qF82xcLAH1rM+IsNYiq8XUmtZWaT1viann1tUCqq3S2q2rrVEtoEcfffRk+rjjjuvsU4tzkszKLKL2dkYJm/8T+Bz7R7cmmwwtcrpihxZCgH/5l30psdoqvP766yfTnhvUsgQ916dl/UWjRqOCNyQbUWmpxa2riYpsSxSuZZVCV0AtS9Rz6z7gAQ+YTGvrsy7yoQVUV8yqrdRkxIIKnG8qZhHJpwD/pZTym+tumSwV2i2qxfCqq66aTGt3aW0VWmKog2N0AEw9bwXB1IIXdXdqrBc6YlFF92ndLrJ/S4PU4uJtsX71Os8a1/cx4u6F7oeTdq3rYCPtjYBuwJEOJNLP7tVXX93ZR3tB9LP/sIc9bDKtxTPduOlurZlFJG9j/bp6yQahhezzn++W0f3Sl740mdZW4te+9rXJ9HXXXTeZrvsKrf5BL03Csv6i4qfRja1n+VjbeX14kf2967GONcu6MS19mtEPCMvK9qJwI/tHr81LidFeA/0c1f3PWkC1q15/uOn3ALrPtf74094R/U7s3Lmzs/8JJ5wwmdbW61YmRbLLLCL5TuA5wJ/P6VqSAPpLWYuhFkJtOYIdNaobFy2EtRtUz1vi5zWclkXhpTxE97H6zaxjeYEuLcIatSQtYdVEPxo8CzHico4GJVmRu3XOZ8TibBFjLZ7Qfd60mGrB1N4N6D7v+qNQC6O2NusPzM985jOTaS2gWjyPOeYYkq3LLCL5ZeDHReTPgQ8xPbr1HUNdWDLi8su7xvsVV+wrcv/lL395Mq1dTrrfELqWoW5EtFXouUE1XvqBtZ0lKvX+lpjp7Wq3nXW8viLp7RMRySH6JyMuUk8kI9ZjVCS9DyItjFGvgXU8z8rVWB8d9bOrn2ur2Lc+Z72/lSKkvSh1ANqJJ55oXfamIC3JLrOI5HhU0GOBfztlfWFUti5pQFtr+mtWf+WCHV2qhbB+afWxdYNmiUIdvajFJ9IHWB/Psgq9CjORKMt6vsUStfaJulv79k9GaRGSiDB6ghexKuv5aFRxZLtoQYZoSozeTp9Tvx/1u6MDjixhrq9TC6u2OOvUmWUlRbLLLCJ53PqbJLOgXZzaXapdqrVVqC1BKy+wbqy1yOl+Hb2dbgw860IT7Su0hCwqeFFhnXW6xhJT72+LLPe2izZI0cAbS0ytsnhRSzLav2gJniesLQUZIs9kPW+lsej3o76H+r3S75t+D+vSgFY5P+2u1Tmky0RGt+7PLIMuf3n9rRKPOqhA9x3q/hLdV1hHjepGRDcA+kWtGxC9nRbD6Fd/hGhAjCeSLSIXsQRb+hfnKZIt9BXJqCU6ZD9mVFijVm7f59L62NLvjlcLVx9LX3/9jur3t/bKjKmjaJcpKChFsksm/88B3a+hxa+uO6pFU7t59P51w6tf2ohggl1uLSqSkejFIcTHsvI8d+ms0anedVrLWyzEoWmxOCPC2jc6tp6PWqyzinl9jGiEcUQkrfJ99bx2l1oeGei+v/q91u9//bdpoX3wgx88mc7RXzYe9w6IyJeAp5ZS/lFErsQfDquUUh7urN+UaIHReVveaBI6dN0rlK3ndQNgfb1CN/HaSr73ogItkbTKs9XzngtNs9EJ/PMUrEik6qJosa6ibHRlIe8etrjwrQAwLZLRMn1eoQSr60K3EXVboD+Ydf6yVT8XusUWdHUiy3qNkpZkl/U+Uy4GblbTm/rXu+eeeyZfbDpPqnaDagHUX3haYLwv46h1o+etAtTe17Qlcl590paqNtY6Ly0g4naLugqtbaIMLSTzFKaNpuUDoMUaj7jjoyXzvFq0s1YDiu5viTTYf7d+dus0K93OWO+IZyXrv0EXXairFmm37rg6UcuINauEK5KllBep6RfO/WrmzHXXXcfb3vY2oCuEdSK8fmiszv46Uk0/mPrrTy/X09C1GK0X1WtcIuH69Xxk1AtvaKho4XDLYvUs0VlLzHnrWoRsyMZhiGMNaQ1Hj2W5NKOC11Ij1rIEawstInLe0GGRUVE8kbT+Hu+ZtN69us3RIqmntVeq7vu0ahpb3TDQbXPGAqoLLkz7e1adsLt1QdczV/bu3ct73vMeoPvw1i+GFkAdhaZrR+rpel67PrzUCt2gWMEDXi6hJZi1+FjCpl8s/dLWL7C1nV5eC6tu7DwxtYj2U0X6wOZZus1iCGtzUVZdZH+Nl6tqiWS9T0u9V/3+WONm1u+Y9V5ZIlmf0xJz74PMKnrgdWno7fQHvDVQQD0fLQwyrd3T58jo1v1Zz936MOBe62yzabj99tu57LLL1t1OC541jE/98Gksi7MeN89KmPei7Swr03tpLZHUf4PVaNTbRdMpNFZgh9cgW39Pi1t3ni7ejWhQWkSuJXiq5V63jFYSGQMT7MAZbxgvPW+9l55IWh+lXgECLXiWVVc/x1auphY/HQQI3Upa1nB0tbAms5OhU1OIfKHVlpPGctHW7lY94oFVxq1+aXXjYEV91g235fLRx9IvaW29ev0vY7wQ/6ibyupj9YKSIqXTomkFLVGfkeVD0BKgFKkm1BINWj8DlshYubL1MSK5jNB9XqNdGnreElnP3Wq9V/r5qj0v+hnV++jltetUW486RsIqpVfP14MS9CEtyS4RkRz0FxORo4E3AT8MCPAXwNmllKvdHfft/0jgHOCJwCHA1cDbygJGJ9FfaPX4eNota03X0WnWKPD6ZfYsJ6u/xMN60aPBD9GGMyKmnrBaIhkNKoqWR4sUXF9UgFFN34AYTUveqfVMeGkJlhi3FKiYZ+BOJCCnJlqByOp71MJYl8jT1qMWTP2RXo+KUqeUDUWKZJeISL5WRCJ3o5RSXuBtICIHAx8D7gRewEiAXw9cJCKPKqVML664b/+T1/b/OPCTwE3AI4D7OrsNhn4Z6gfWEkNLCKH7lWt92Xpf4JbLqm4oZy3n1VIEvD5nJPCmbly0sLUEFUVE0ktv6Vv6bRlSIyL3KlrBKNJvCPbf7dX5jfzWQwQIRXJno8UVrOeztgp1sI0WP+2JqlPItBjqEpO6nanbHC8Fqw8pkl0iIvmdjERtPSK/7BnATuCEUsoVACLyaeALwFnAedaOIrIN+D3go6WUp6pVFwXOOzi1r18Lo+Xi8WqiRl2nVhSrPrb3NdxS6SRiLXkvViRtpZ63GqRaJK3AiGiqSt/fYyPSQVqGDouW+YtYaN691uf30ooiFZ6GeA5bCrZb1xktcK5L1mnB027U2grU8zra1BvYPFkMEZH8D6WUTwx0vtOBS8cCCVBKuVJELmE0qLMpksApwCMZienSoR9sK/DG+2rXeEJiuXKsQIT6PJYl57k0W2pztuRzzhqFW6+zrE/vnC0l1YZMO4kSTceYtbSf5570gmgi12kJLtgfMS3PVPR9sc5vRYnX++t+e20t1lahJYw6uKbuQ9TrdFtSp2csgrQkuyw6cOck4MIpy3cDz1hn3x9Y+//eInIp8D2Mhut6D/CKUsod5p4LQDfeegR0b6w7a7DYBz7wgZNpnU4CsGPHjsm0dvFqt24d4ee5b8d4DY3+23RDoZfXjZElWJ7r1DqP/mqvo4ojKSlW/ybYf7fnFo6mp1j7WESjVj2RtDwSkWoz9XZaGL2PKOvjwAvc0ee1non62vS9jnxg1vtEnv36+dDPm+5H1K7TepBy7RbVIqeFsI5U1SP6DBmEMyvLnAKy5k18BSND6cHA54FzSil/Etj33wM/DpwMHA/8ZSnllMh5Fy2ShzNlHEpgL7BjynLNUWv/vxd4K/BKRn/wOcDRwFOn7SQiZwJntlzsEOgH3nsBrQRir4Nfp6pY/aBg93e2DP1jCVEteLNW+anno+7WSK6nJ5IRt6wXdNIimFEiwhgd9cKy6mpR6Tssmn6+WrwG1n2v/wbLO1KfJ/KMe0n++v2zUjNqkbRcp1bKBuzf37iRLKtIAq8DXg68Cvgk8Gzgj0TkyaWUD66z739g1HV4KTDTmGWbKQVk/LRfUEp5zdr0x0VkO3CuiDyylPJ/651KKbuAXQAisqF3v34RLGG0Ovuha41qK1OXn6qH4dEBQ7MKJtgNSlS8ov2DkT7FFovVEszoOT23X1QkWyzJFpGcVRjrv82qG+ydMyKMXl+wJYxe0QLrmWx5jvXzod9DsINtvIAaSyT1dB3ss0wso0iKyJGMBPLcUsob1xZfJCLHA+cC64nkGaWUe9aO9VeznHu9snRDV3K+gekWo2Vhasb+yD+vln+E0Y/0XcB+IrnM6BdFjyGpX8zaRavn9desJZjQFc0hBdP76rcsvGjfp9XAeiIXEcxaZCN9l0OUz2uhb7k3Sxi9oKSIMA5x3yyR8kZ8WYQw1h+lljBq69Eb3ae2MpNmngQcBFxQLb8AeIeIHFdKudLaeSyQLSzaktzNqF+y5kTg8sC+Hlum6rR+seqINi2SulixXn7ooYd29rHcslZuZrTqiFcvNiI+0QAhbyDeSPSi526NuP3mFWq/Hi0BQlpkIqX5vD5NLbLesSL3LWrBa/Hy3P7REnGRwBvLjQrd90qLpBepuoyW2Cws6fWfxCjL4opq+VgXTgRMkezDokXy/cAbRWRnKeVLACLyMOBxjPoYPf43ox/pScD/UstPW/t//Xpzm5D6gbXcN9oqrIN99LwWUG1xevmcVsk6L9AkYnF6OY/RYbwiEY9Ri0Zfz5I2FOsSSa3wAmpaIpkjrvGo61TfA89CtCrZ1M+U1b+vLURLCOv5ur9yq7Kkz/7hwI1l/4vbq9bPhUWL5NuBlwIXisirGeVWvg64Bjh/vJGIHAt8kVHk0jkApZTrReTXgF8SkZsZFRU4GXgN8D90Wskqol9gHSkHdj+mtjC1YNaVgSJFD6IuL69/MVL9pibyQkfz6Ja0cWjGsrBa3MLR7ax7WN9rqxpPX9dp3dc3ayWbuk9y1RgouvUIEdFGy6612JAJIvJD7N91No2Lo1Go82KhIllKuU1ETmVUlu7djMrSfZRRWTqdkSvAdvYF64w5B7gFeAmjTtyvAm9gJLSJgX7xrf4XLZh14I8VOeu5aCPlyaLVbzwiwS0tZdy2Gi2/R7TKj8ZKnanFz0rn8D5aLNepFYEK3WdcC2Pd15/sYwCR3FNKOXmdbf6aUd77eowbrBuAw0REKmty/NU/t/DghUe3rtVoffo621zFSCjr5YVRwQGv6EASRDcUuqGphwHTLlr9pa4Fsx6tRLtorUATr3Zr1JKMJMxHa8x6lY42I7NW3/G2i9YG9j6CNJFKR14erSWMXi5ydJi2ZP6UUm4HPjfDLrsZjUj1cLr9kieu/b9eTEszmykFJJkjugGpAxG0MGrB1F/zdW6mVY7Pi16MCFO0UddBJ97YoVYfnFWpZTPRUtA7MsiwV/ZQ4330WBanFsa6cISVzG997CVtLOkH4oeAbwI/AbxWLX8u8FkvsrUvKZLJuuiGxwq8qYMatIvWGqLIE7xoNGakvmi0MIDl6ttMFkhkAGNv/ERr2CivgL4mOvSYNdSUNa5iPa+FcSt80CwTyyiSpZRrReQ84BdE5BbgU8CzgFMZlTudICIfBY4tpRyvlh0LPHpt9gHAPSLyY2vzf1dK+bJ17hTJZCZ0g6Qtzjq/TFuckbQTiA3H5Fkx+niWxeoV9LbSH6JRuIvCKyunrXY9bdUT9sZstAQzWkDfS/eJpGPUrtNViS7daJZRJNd4FXAr8DL2laV7ZinlA9V229lf254IvLNa9kdr/78IeJd10hTJZBDqBkz3BUVfulo0x3hWjDe24bR9vD7JlpEyogUIWoiMyFGLXEQkrW2880R+Z7B/j9p1agWQaWH0BjZPVo9Syt2MhlZ8/TrbnTJl2btwhNAjRTKZC7qB041gNGJSC2bLIMEtg0NHrEqwi3N7ImmlXUSLlUfcqPW8ZRVaea/1eVoGULaE0UvN0M9HCuPGsswFzjeKFMlk7ujG0gsAiVhOUZGLHLeet0ag8EruRYseDCmSerlnSVoWpzcqjPUbev2LkcIRdf6hFsnaykw2lhTJLimSyULRjaVnxUTdftZwUNbyuoG3LKxoKbtoUfS+IhmxKuv5SERr/dFhpcF4wUuWMFoF/KfNJ8tDimSXFMlkw/ASuqODBFtWkSUKXtqJZRF5kZktw2tZtLiCvQhhywL38kEjgTdeEE6k9Fuy3KRIdkmRTJYGbV3oPkk9XTfQllVmRYB6NUSt43qCFx1do8WStPoEW4ojWNcSTfj3rMpIEfEk2aykSCZLg25sI4IJ3QZbN+SWReW5eFuqyljLva9xSyRrvKjc9ZZ71+a5kiPC6A0eru9b5i9uTtKS7JIimSwlurHVuZV1qokuvm6JlxfoEskFjApRlKhItmBZuVrkvEhV61jWcFaQ1uNWIqNb9ydFMllKdAOvA0C0KEIssd/r07TyBz3r0+ovnWexdMv9642faAXUWBZ3jVWmr45G1fdno8beTIYjRbJLimSy9OgAkNoS1O5XLaARNyx0RVJbrNbwYNBmfVp9j9FhvCyrsHZpWsNG6XN642ZaFqM30oa+P8nmJ0WyS4pksqmok9K1VaOnoyJpuWIt8a3XWdanF3VqiaQXRWtZhbVVp49t1Uf1auRaxQC8wgBJspVJkUw2FXWfl268reLrXjqH5YrV4leLpFV/1hLM+jxRkYwIY+3ijQij1ddYn8c6Z/Y7bm3SkuySIplsKuoXWFs1WhT0tGVV1lhpI7W7VYumFkyvcLiVq+mlY1ijrFjWYr1dpHpOLZLWb6h/52xEtzZ5f7ukSCabGt1462ktMFYwC3StKqtKT7Qf1OvHtKoBRQXLsgTrknnWeaIpIFbFnHSxrgYZ3bo/KZLJpsZyCWqBsVyvYOc2esNrWVZmNNjHEslasCLC6BVHiFQTqkXWGtsxC48nq8pKiaSITKyCaJ3NZPOgIzD1tO5DqwNdLAGNumWt4ajqfky9XdQq1GgB9cZztCzTaP+i9Rsmm5NIPeD6ucv2r8tKieT27ds57LDDAD/XrKV+5WYavX6rYvWnWdNgi2RUMDUt41Za29THs/CiUy2R9H4Pb12ysXgj2ESK2cP05/D666/vbJMi2WWlRPKAAw5gx44dgC+Skfw0TyT1V78VLTjtvEk/rBw/y/Vaz0f7Ma2RP7ycR8v1Gd0n+hxGnj1LMOv5/PCbH/UHkTUQtpWTW89H83WniWRdfD5FsstKiaS2JKNJ3Fb6gNdwWtaJ1/9jTecD24YlFlHLyfu4scTUGo8S7D5Oq6pN9DzetUWer3r/rLfaH32vtQvemobYOKCeSEZGf6mvbTytn8cM3NmflRVJjSeSEauynresyrqBttZZASjQjTLML30bS1TqPknrd/ciO/W83scbbUQ/R9E+Ses83rVZBQCiATkpkjG0ENX9z1oAdSS0Xl5/RFnrvLFUI9ZjxIXv9XEnKyaSBx54IA960IPW3c5yjXnjBUb6grzEbasRqxt1q+HTARh1w7mKkYmWMNa/jS6xpt1O0XQOjVcEXFsEVgRqfZ/0PdXXduONN06druf1PvrvtMR32jWsGnW6TyQnth6Zxhq1xsujjViPXoEKSyQj/dq1YKcl2WWlRHL79u3c//73B/yHx3LFeiIZ6TPyvtqtr3tvxAWr8HctBLqxXZWhjFpGsLAGD77llls6+9QN3Bj9rHgi2WJJ6mvQtVLra9PXHbEqvZSYrYwWBi1+ehrsPFg9XYukJYZ6u1qYIsLoBeFYxSoi7Vx93BTJLislktu2beO+973vZHpMVDD7RsRG+5y8CEOr4fMsSevltsRzK7hxrY8bbyxELTBWuTmIJenXLjjdKFoiWV+bvo/aEtTWYl1cXIumJZjeyClbrYHUImOJoVXYvp63yhF6Imm5UaNDts0aqQqzt2e1S3arPQN9WSmR3L59O/e73/2AtoeqZbT6FpGMWpJ6Wr/MdX6b9dVrTde5c3p+s1gaVuk2T4j076Ybsbpxsu6vPpZXTCAqktYoHJ4laYmkvjZPJOc53Ne80L9nbQlGhNESP4BDDjlk6rqoSFqRqkOMa2q1YbOKZFqSPislktqSjIz6XhMdoLYlXL8lGtMSzPql1Q1k5EX3vqatoJFlG0cwWtXGEqI64k9jucm9hrOlLF3Ea1APW2WJpP479fXXf9syi6S+J5Z3xHOX9rUkI32N9bwlkrW7tSWdQ9PSho3v/dCDim81VkokdZ+kF9EVsTKHjoiNCCbYrlgv2McSNmvasySt83gBRpHROYZA31Pd0Hj9flpk9L3S11+7NCMRi3WQRUuB80iUtPe7W/3X+jeoP/ys323ojyArUMXqw6vnrWnPkoz0L3rDoln33UvnsIRxXpGq4Hu8NON7ullSQERkG/AK4CzgwcDngXNKKX+yzn73B84GTgNOALYDlwO/UUr5n+udd6VEctu2bZOXwHv4rC8rq3Gr5yOCCW0iqV9Iva4l2i5SqBu6DY3V8HqpFZYVU1t1VpK+lXxfY+Ui6uVeEXFLJL1IRGs6+kxpPBd+tPJTpIKQnq4b2ojFW2N5ZayPFrDFwxMf63mNekEiz7vnOrX6qevno0UkI8JY36vI/fGeqU3YJ/k64OXAq4BPAs8G/khEnlxK+aCz3zHAS4B3rh3jHuDHgT8VkZeWUn7LO+lKiaSITB76Fl9/FEsYoyXEov2YlkjWLlqr4dEvvdW/Wa+LWpJWwrolmPV2lmDWHxqRijeetabvlTUcVf0MtPQFtZSYs9Z5loJXJCNyHt14W0XZay/MtHqg9bG8PjjLPemJZLR/cNZ9okE4nkhGgnBqkbR+3xZX6KyxE/WzuYwiKSJHMhLIc0spb1xbfJGIHA+cC3gieSWws5SiXWQfFpGjGVmmKZJjdIFz68WGtkZQE23QWmrEWlZmVCR1IxAtYGCJoZekP2vlF4hZ07WwWuXjrOX172kJ8GYpgB8pYO1Ne24/q7Gv+9OsgBSvDy5SicYbosxyy0YtwWglnIgwRvsXo5Gqi2pzLJFcUp4EHARcUC2/AHiHiBxXSrly2o6lFKtS/2XAE9Y78cqJ5PiBjopkpDD1+NhjolaMtc7rx9SNv35R9fL6RY/U7fRKlfUtHB7pn4weO9r3qfHyWy1362Yh6p3Qz7gWi7qB1A1+RJTq+ZYybNaxa5GMHNs7T4tVGBF9TyStdsb7uLFE0vs4s7p46ud9Wnu2GSxJ4CTgTuCKavnutf9PZGQxzsLjgc+tt9FKieS2bdsmD71+WOqHPJKk21cw6/mWfswW6zNioXlFDyJFs+v5FsGzgorq9BYdeKOnrWAdz5LcylgfXt6QXrovehwVXk9DN00i2tcXEVZPsKJWXSQFoyXq1HOd9u1fbBHGaNGTaUOubZI+ycOBG8v+F7dXrQ8jImcCjwWeu962KyWSsO+B8FwfLQ95Sz9mZGQIrw/NaviiwhpxVdbz0QAjS0C14Hl1abUYWjmGYKdQaMG1kv9XFf0beIE7Wsi0EI5zjcdo0dTbWeIJ9tibQ1t1EZdxVPCiqRmRD+u+bUR9POueet6radHlA0W3HiEil6n5XaWUXXoDEfkh4M8Dx7q4lHJK3wuqzn0K8Bbg90opv7/e9islkiIy9evJC9yJhmNHXoCoWyPa8R61PiN9bVGRjQgmxOrS1pWBrHSKlpxFK0pzVSxHD/0beCJpCZkWP2CSVgVdAdXbefmL0fqmEWFsETmv6yXy/i9DWxBNVZvWts3B3bqnlHLyOtv8NfDIwLHGwTY3AIeJiFTW5NiC3EsAEXk08H7gY8BPRvZZKZGEfQ9E1PWhib4YfTvhNZ6LtqUaUERYPZFticK1RLLOx7Sq3Hhfv1YxAKsIeVqS/m9gRaR6IqktyYhggl3lJiqS0YAYSwD7Cp73Xvd9z6N5jhaeeFrW56JZizRdtz9QsRu4F/Bwuv2SJ679f/l6BxCRbwc+DPwD8PRSSqh49cqJ5DS8hzzaJxl56YZ4mVqYVViHLrmnhUxbj7VrzCrw4BUoj1ifSRz9u1lpGrXr1HLFasGM9mO2iOSsgwxDXPDmRTQ+IXqMIf+eJe2T/BDwTeAngNeq5c8FPmtFto4RkUcwcu9+CXhyKeUOb3tNiuQUIi4ST/CiX6mR/oqosLbk6EUTkCNRuJ5IWon5tZBZblFrSDCwhXGThLUvHdYHohX1Cl2r0BJMrx/Tcr16IhmNGo0UBtFEc1W95ZEPUa9il3WsIdqCCMsokqWUa0XkPOAXROQW4FPAs4BTgdP1tiLyUeDYUsrxa/NHMhLIg4BfBk6sfqO/L6V0v74VKZLEH3IPS9g8kbS+gFu+jFtcRtFE5cj4mp5IWqONeFHFlkjW0a2WJamPtYwv/bLg9Vn1tSQPPfTQqdP1dlYd1ahItgTEWILV0lUR9bxEy/x5whjZp6X9so61ZLwKuBV4GfvK0j2zlPKBarvtdLXtRODYtel6W4DjgKusk66cSI4fgGhqhrW85UHyvnJbAgmiX9N9sYTVCvKArrBZYlw3FHofy+0WrYmqWeKXfsNpKfNX3zdHruYAACAASURBVAMrFzFaU9WyKutnakii7viIF8Xrw7do6Q8cop1arw1b5tqtpZS7gdev/fO2O6Wa/zjQ3CiulEiWUiYPsGd5WV+WnuUVebCiLlqvBJgXpLBMWA2cbkDqtBErxL+lUolmWV/6ZSAqktYHHdipFV6JOSufcp7C2IL+DayI6RqrzYhEo9ZE3b+WZey5dcfvYr4fPislkpqoi8Vy23k5S31dtNFovc2CVZQ9WqlkSHda0iXaN6aJekS8UnaegG4GvLQkPa+7IYYuMdcShBd5F/J96bJyIjl+aLyvukiahGd99nXFel/tm52hrcJIVGC+9DYtFV2Gtj43O/Xf1mIxaqL9i1Z/Z7S/NN+XGFvnSQ2g3a1eBKmVbO1VbokGAmgiAT5bLUqz5Ws62v9jNQD50tt4lmRLHm2LF2Wz41nW0Xc50n5EA4S8snTTtov2da4qKyWSMN2SrF96Swy9fTz3S4SWqNPNiPcBEakAFK0mlEUD2og0vNFiE9792MoNcd+PXMt69EpURtupiCWZdFkpkSyl9HK3RjvE+/ZJbqWv7JqWQuxWjVloG5w5sYmk+wxx36bVDd0q9H2vo7mVEYsz4m5NS9JnpUQS+vVJRh/YoVNFNjv6N7Aq8dTrrOk6H9OyXFpyzVYRr25nS3WlyLBs9bqtdq/m1Q8Z/TDv0ye5zCkgG8VKiaRlSdbuzYj1OEQBAs1WaBwsrKLmLYM712kjXmH2MVvZfd0X77exRNIb8cW6h96IL3q7ulDBZmeegTsRYYz0Oacl6bNSIgnTR+P28hd1Q6H7Hb0vtChb2cWqG86bb755Mn3LLbdMpm+66abOPno7PTakrrJTj0Gpz2N5B7xUhNoqWgW8UTM01pic9T3Q90ffN30/6zQPaxQP/Y7VFXc2I33f8aEr+3h9y2NSJLusnEhOq7gTzT+KWour+JDVL5wlctZy6JassywNz5K03HZeZaBVFEn9G9QiaeX7epak5SnQ97O+19bIH1ow61J2Wy0dyiJSSaee75tbmdislEhqf3s05zGyvCZaeHizW5L6BdTiB12LUU/r7ep9dEMaFUnrC9qqQVoX59b71+NbbiWsIuJe/VzLIomKpL6f9e9ulR30SjLqeq+bxYXeEsTTtxpPNLdymsHgHXdVWbhIisjRwJuAH2ZUT+8vgLNLKVcH9j0GeB3wROCBwDXAHwK/Vkq5zdt3zPjF9yrk5NeWjX7JLNdaPW+5Wz2R1FZIVCQ1+v5a4yJCt0HSgtESUbsoWkrEWTVVa5dmpM6uJ5L6vlnWYn1efc1euUiNrve6KhamR4vHK4sJxFioSIrIwYxGhL4TeAFQGBWrvUhEHuUJnYgcwkhQDwR+CbgaeDSjscUewWjYlHWxvp6mbTMEm91ahK5gaGHTgleLpO5v1NOWYIItkrpR9vK+rOLrXt+WbmC1gEZz/DaiQfGeqchoMvr3qH8bS7C8fi5rxBfLjeqdx/vbLDeiFsz6PMvKPMeWjbZt07bL6Nb9WbQleQawEzihlHIFgIh8GvgCcBZwnrPv4xiJ4ZNKKR9ZW3aRiBwOvFxEDi6j0a5dponkENGoQyYQbwTWwMhgu0gtaxFskbSm62Po81iCCd3fTYuCtmJ0g9ziWmoZlLsm4h70rFIrNaPv31Nfs1U20Erjge79iY74YvVx6uewDhCyhlzTH1f14M4bXTx9yMIiQ7QrkXZvo9uiZWPRInk6cOlYIAFKKVeKyCXAU/BFcvzJe3O1/EZgGz2GQqmJ9CMM3b9ofSUP3feirUJLGOsgC8t6jEaqWtO1u9Xqh9QNqickVqSmZ11ExvT0isxb1mt08F+NZ7Fav0FLBaLIUE5g/571depr0/fNGxc1Ups3Gs0ZLVBhCebQ1mffohZ925zN6rFaVhYtkicBF05Zvht4xjr7/gUji/PXReSnGblbH8NoAM7fifZJjml5qFoe2OjwWtFGzDqet78WQyuUX3+ZR4NwPEsyErjjRbdaBQTqhtOKYrXceZ7gRYbq8tZZ55w2Pw1PFCwh8Ior6HWWy9pzX0evU5+nxfKJvgcRYfQq++jrtPpla2vTE/pp11xfZ1QwIy7nFhdtyz5pSXZZtEgeDtwwZfleYIe3Yynl6yLyA8CfMBLVMf8deOlgV0h/S9LCS+y1iqpHXXBeQ2FZjJbLyhNJq0+x7l+0hNFK86ivUzdo3kdDxBK0cvLAbiC9htNKKfEGJm4RSatQgv6dvHttuTG9CkbW7+49h1ZQT7RaTN8asVFLUl+bHvRZW5j1/tZHkPe+W67xIUtXeuv6WpIpkl02TQqIiNwbeC9wJPA89lmSrwHuAn7a2O9M4EyABz7wgZMHyLP2In0CQ4xraDUU0Y53vY/lRgXbYrSE0RO8yHR9bCtStb5Oq4H2ypZFxNCK7KznI9P18aLWp/Ucee7FiFUYrVoUma6PZ9Vh9axPy+pvGcHCswqjlnWkrqxlYYLtlo32RbdUwrHwRNJ6vry2LeLyThYvkjcw3WK0LEzNi4FTgONLKV9cW/aXInITsEtEfqeU8o/1TqWUXcAugOOPP75MezCiQTh9LUnPLRPtRLeE0auIYgmjFjZrOcRSODzXqSWMXmqFxksLsIRRN3baatDT3jptXdRpI5FE+FokrUbV+ugBu/H3glu0dW55DazGvr42C++ZjFqFEcGLuk6jhdQtC9qaruetD6Lob9gyAkffLp4h8jFXnUWL5G5G/ZI1JwKXr7PvtwM3KIEc84m1/x8J7CeSNeMHyOtrsBrlaBCNZR1ER0Kw3KgQC7zRDSLY0alRq7DFdaobb6sRqxsKKwjGshbBFsNDDjlk6nQd/ajX6WR1vdwT1ohVCfZz5DWcEeuxvtezfhB5+YuWNyBSDxTi91o/O/p3awkgq59dfU/1tD6Wfibq58P6cIqmtwzhcbKItFN1m+WV1hyfOy3JLosWyfcDbxSRnaWULwGIyMMYpXe8cp19vwbsEJHjdXQs8L1r///zeicXkclD4z1ILV9lVv9LtF/HalyixaS9wJtZG5e6obEsRn1Ob5SHSFUcD0s8IWY96oZPN5T1vJ7W+2jBrI9tBYDUDWeLJRnxFAydpB9x53vWlsYLwrGO5/WXWuui1mdf69WyZOtc08g9qGkpBtDibp32HHj5qMniRfLtjIJsLhSRVzMqJvA6RpVzzh9vJCLHAl8EzimlnLO2+F3AzwMfFJFfYdQneTKjwgKfBC6Z5UK8RqOlH9KyHqMVLyKuNYgJY9/o1PoLPtK/6EVZWn2KtZvK+t29otdapPSXvmVV1iJ5//vff+o6y6qsj63PuSiRtCwviCXpa6IDX3suTX1t0b8t0uccFUlPwGcV1haR9UodWi74FsGsibhbW6KsUyS7LFQkSym3icipjMrSvZtRbuNHGZWl0y27ANsZ5T+O971KRB4L/DdGVXqOYCSuu4BfKaWEnPzjxsprQFpyEyPJ3vXD19Ln1BJ4Y/UpWsuj/Yu6AaobF8tq9hoKSxh1Q9NXJGt3mmVlWlZlfWzLBTdEfqv+DfUzEQ0Q0rR0AVgiXXs39PVEBLM+j9XtUP8t+m9t6VOMBAhF806jwhrts7YEr0Wwom2bVc4vRbLLwqNb12q0Pn2dba5iSnGAUsrlwDNbz93ibrUeWC94QRN1OVnCWPc5RYTRq6MacbHW/YvWGJDRJP+oqy9SVq6vSNZWoSWSnotWH3ueZdD076H/Nqu/1sN6Dj1RiVbC0fdEb+fd62jfpUYfL2Ih1uuGFMloqoqe9voxI/mYXvWcaJ52xN2adNk0KSBDMc2S9EQy6kaNfKnXDVJkiCGvfzFS1QZmT+z3xmy0GjTvZdSNg/cC68bW6l/0+hS161QPs3TYYYdNna7n9f5eMMdGEx1OalbXK8QS+z1RiKaqWO+YNT5oPW99UHlDclleGGvaW2c9K/W85XWoXbQRt6zXd2gJpvdebjZLUkS2Aa9gVML0wcDnGXXJ/Ulg33OBHwGOAe4FfBn4A+CN65UzXSmRtCzJGuvhiyZUW8nV3ujs0f7FiDB6ImlFp3r1Ub2KN2PqF84qKq5f4Ppr2nKrenmOlvUYmfb2ry3OzYK+bit/0XOd6mfUsh7rj6hIhG99r+tjTCOaIhRNAWkpYGBF7kZzQKP7tAwdpon2Y65nSS55dOvrgJcDr2IUh/Js4I9E5MmllA+us+/9gXcyEtY7ge9fO873MCqJarJSIgnTxTGaDOwtb+lftL5SvUhTLYDR0TUsi1FPe1GFLfmLGqt0XN1wWmJouVTr+Vmn63l9ns3qgtLXrf8eSxijxQj07+TlZupzesIaSZPwujSs9zIaeGMdKyp40WpCUU+UdZ6W/meN9xxH3brLgIgcyUggzy2lvHFt8UUicjxwLuCKZCnlJdWij8poVKpXisgRpZQ91r4rJ5LTKu5Eq194L6nVCHn5ixFhjI6u4Y3TaFmPkVzGGkvwalr6F7VI6mnPTWUJoJXwX6dMeGMrbnYs97WXQmJ9kOjpus/aWmdZR/V8S9SnFT3tRVlHrMohRDKSzjGEsLa4TjdxIfQnMRrk4oJq+QXAO0TkuFLKlTMe8/q1/+0GjxUUyWm0DFFUv4yRwJu6vyMijNHRNTyRnLX6jfdiWRaAF4loCWNLAx21BCPiWV/PVsYSzPr3tJ5j7x5ELE4vn1NP6w/MvoJZr7NEMmpJRqtitYhkpIun3kdbmV7pxllZRkuSURGaO4ErquXjOt4nAuuKpIgcANwbeCyjlMJ3lFJu9PZZWZFsqanat3/Rq2RjuU49kYz0NYKdthGtj2oJY99KOC2J/d4+VgEAK/kfUiSjtU5b6qP2zT/0+satQQDq81hBQdH+1r71b62P0rr9sArQW4E/EOvHjA5RpllSkTwcuLHsf3F71XoXEfk3wGfUot9jra63x8qJ5Pg3jhaWttyoXv5ipAwcxIQxGoSjrdTaHRaJTvXcqBFh9CwFy3Lxio1bATVeQ2FNey7eVaTF5W25v6F7f6yIbc9NbolK/UxZYuw1/NaHYLRPclGC0WL9WW2Y5cqGhRUTOEJELlPzu9ZqaE8QkR8C/jxwrItLKaf0vaA1rgAeDRzCKHDnFxhp4E94O62cSI4fpmj+YqQMHNjC6EWdRoSxtiQjtVPrr9RIHpoXam6lFXgiGQm88Rrb6IgckWLjXvDDKuIFT0VGT4mOpGKJJ9jCaAUb1ftYuaKeJdkSdRpxg0aLlWsW1R9YC956+ZgDRbfuKaWcvM42f82o3vZ6jBu5G4DDREQqa3JsQe5lHUopXwfG4n2xiHwVeKeI/L+llEut/VaqxSilTATRG5LHKhyuX+aW4steEE5L/6JVO9Wqpenh9S9aqRlewxnpE4ymY1hCWM9Hhq0aohLOZidaC9fqP/Y+iPR9089kfa+tfkzL7VjPRyvuzDo6T33OaGqFpiXqNBJQE43C965TrxsL5ka4V9dyEz83wy67GeU3Ppxuv+SJa/+vN0DGNMaCeTyQIgmjh2EsiF7fR0QYvTSLSF9jvZ0lpt4oD/ravIjUCF7/YiRn0bMKrT5JTyQtYfWiJC1hjFalWUXq38ayMluqHnljh1pi6OVwWus8kfSq6UTQx+srJt6HqLXd0BbnNNH3goiWiA8B32TkGn2tWv5c4LMNka0AT1j7vx5ZqsPKieT4odcPvzfMU6RKB8SiTmvX6axJ/vW1trz0mmh91Ij16EWdRsZsrOej7lZrXL+0HmN4UcnW81HfAysgxrIQ6/nIdD0fEUywRbLl3dHHqtsMi5axHa3nNTrubZTNJJKllGtF5DzgF0TkFuBTwLOAU4HT9bYi8lHg2FLK8WvzjwLeCPwR8CVGFunjgZcB/7uU8jfeuVdOJMcPtxVgALH6qF7UqZXL2FIJp24o+qJfJisYo642o0tw6elouTddOs06Ftgjb3jBPi0Rfsk+vPEG9e8ZjW6NJOzX8y1jKUax3KX6nW85p/7b6i6RiCvYE/OW4u3RQaj1dY/fpc0gkmu8CriVkbiNy9I9s5TygWq77XS17V+BPcAvru13OyOxfDnw39c76UqJ5D333DMRx2iSf6SvEWJFxOuXyYpIHVoYNX37F6Pl3iLWo9e/GB3MOFq2K5kd67eNuuO9fkz9HAzpbq33aUk16Yt+fy3XqdcnGR2qL7LdrH2ysLwiWUq5m9EIUK9fZ7tTqvl/BZ7Tet6VFUkvyb8lCMda57lorb7PodENXCRi0Rs/0RpRw9vHEsna3RoZwLgWQmucRt2ALOtLvwx4VVys1J/6HkQ+vLycx+igyy2WU6QsXV83rId+r4cWvL4iOV7XEp27SqycSI7FsWWkDc+StFJAvPzFeQlj/WLMKoy1eFlJ+l4QTkQYvdxKKwjHy/uyEsy9CMVNVpprEKLl0ayPjvoeRIJ9PEuyr0h6ruBZRbJ+R4f8wLIEE+wuAesjsF5nHSsSRVu/K/lR2WXlRHIsWtFKONZ20fqoVjQqzM/CiUYfWsJYD/0TsR5bIlW96jfRFI5Z3Um1peA1QluJSCK9R7QEYcSqhNjgztF+uxaRjA4DNmTXh74HdVtgWX9RkbT2qZn2jG8Wd+tGsVIiedddd7F37yjn1LIW6/noSBt63hPGeWH1G4Jdus0KqGkJwqnLxVnj7Xkl4qxiANEgHEsINHWDoLfr47JaJNE8uEgivDc2pHUeL9jHKkbgDUEVzUWMDCzsWU4R17xn4UUjWiPUz6H2OFk53J4ruSVAaPxB4hVgSFZMJLUlGe1fjLhRYXH9ixrLjeq5Pq3BhC0hBdtijI7TGA3CsdIPosJouQqt7b3ttjJeScaWqFNrNAqvso8VOeuJQkQ8vH0iI39Ex5OcZ3Cd5Zb1vCjWsHWzuluT/Vk5kRwLYIu7VQujV0R8nlj5ap4lGRFJLwgn4mKNFl/2RDL6omu8Bn/a8iGswpYv7cg+LYLd95q98P+oSEYa6/pe9xU8a9qztiL7eJa1JZgtFa6ieP2YUWtYM82aTnerz0qJ5N133z0RvWj/ohV4s6j+xbp/ISKMtchZ+Yd62hLM+tjR/kVLJL1KOJH+wfp3jrhV+xaPjq6bZ+PSUqqs799tua+jgulFxFpDqXn9gxExjQprNJ8zIpLePn3x+jEjH5WRfsz6elMku6ycSI7FMZq/aBURn6eLwhpdHmxhtCxEb11LOseQkarRIBzPWtTHaGmcIoIXHfsvctxZiAjj0DVALbx7YP2tLcE+nkhGLElvn4gwRt2tnkjqNmNIwanPo9ujPmkj9QdQimSXlRPJceCO7oeMJvnPE/2FZ4kfdAXMCqLRy73trGlPZK2IWM/dGq2pql/oqNsvIoxRwWsZed76WJqnSM7a5+Tt4+0fxfqtvIjLFreudZ2WRVWf1+ovjXo3rH7yeh+9Tgvm0DmY+nj6o3/WcTzTkvRZOZEcC6JlIcLi+hf1y2QF3tT9i5ZV6FmSluhG+xetUThagnBa+tCiVvuskZ31fHSfyHmGFskhE8w9UelTuQXaRM4Sr6jr07MkI8E6LX2SnvvZsjIX5YnS7Vd9f6fd+6HFe6uxUiKpo1s9kVzUl5RVO9Wro9oikrpPcshKON7grtZXdzQIJ3oPIsLWEs3pWTctwtrCrILnrYtMe/sPPTKFdR5LMKH7vEVdnxEx9QRv1uhY79iWYA6NVaMWYtGtaUl2WTmRHIvjor7qNF7Vkb79i94+s0anekn+0SCclhEKIvfBe6Fb+o+sdV7D2WJJtkS3tliSloUWFcnIdtFqMVEiggl2sE/L/W0JwomKZMt55pVSEunHTJH0WTmRHD8ki3IxaDdky5iLLSLppXBEhNEbKssSxhaRjH6cRK26SCM2RPRiS39a3xSQluR3/bdZ4uOJZERkwY4kjn4cRUVSnycimPX8okTSChaKivk8U0qmleBLkfRZKZGE/oMTR9AWoxaouiqNnrcCb+ognEjgTX0ey5KMRqpqoY9GqmqibtSIi9Trc9L31kpfaIle9AIbls2SnNV6jKbhePc64lpvsTa9iFiLaB9ty+8RCQKKbud9VOrAwXkWLZjWFmZ06/6snEjOC8ti9PIX+7pOrXJv0cGMIxGo9XzLOI1RIWkRrFmDOVoCO1osyXkG7niW5KzWo2fR6H303+NFqlri41U6ilqc1t/T8kxF3PQwvz7JFo/GPC3MxCZFspG6oYgIYx2p2pLYbwljNDo1Uv0mGoTj0TfS1LIQow1SSx5dSz/msgXuWCKl/059P6P3wBKlejv97Hji1TcoKCKY3jUM2Wcddbd6lYE2umiBJi3JLimSM9CS5O+5WyO1Uz1LMjLSBtiD30bzFyPCGHWj9v1qbylV1teSHMLd2sKQ7lZLGIcIOrHcoJ4bM2J9Romep++HW9QqHHIf79mdV9GCFMkuKZIzYJWEq+dbrMKWcRqtETWi1W8iidIQ+9KPJty3uKmieWwtg+rOy91as6jAHX09lls16m6NupKtdd6QTUP20Wq8/lL99+j3oOWjwerzrucjz6S3znv29fUMmVKSItklRXIdrFzGaP9iS6RqdJxGq3ZqHZ0aGcC4by5jtC8o6jptcVO1FMBusZwi4rEoSzLqbrVEsiW9xftoiP4elsVoWZjQVnLPGyx6TMsHUTSYLOqdaMnhtK5nnsE+q0iK5BQsd6lVEg667tLI+Iv1uqi7tSWFI+JW7SuM0YYiKng6SMESWe94keAJb11fkawZ0pJsEUnLJVnft5bIzIiV6uU8WtanZxVG+zG90njrbV9fQ7RqUeR3j5bP867fWueNVhQhLckuKZL4rtNokn9E5DzBiyb2R0bXaKl+Y9VNrWnpX4xahZHt6kZ9VhfrECK5TH2S9bVFRNKz1vqmt1jWWt8PiJpoP2bELRsNSooWMBiyfF60GlC0C2A9t2ymgOzPyoqk179ouUhbKuF4dVgjwtiSs9iS2B9tBPtGnfYdVHdRIhl1Ly5bn6R1bUOKZM28GlXPRWuJ8dAFDCyLt+WZ8kSyrxek5YPGqlGdItllpURSRCai4+UvRqrfREfKsAQT2voXI9VvWoag0rRE60Vf+haRtFyv3j4tX/CRII311q23vF4XFUbr/F71G0sYhwyuqc/Z91jR7fS9jlYQsvDc15aVqd/DaF9hy3PYV4wjv2fdh5ki2WWlRHLbtm0ToYom+Ws3quVSrect69ETyb6ja7QE3ljLh07NaBkgVwtj36jAvikPQwS3tNDiGrfWtQRcRV2nkb6+ZWh4I1am1ycZHa2kbwpIy7Mbffam3YcsUuCzUiK5ffv2SVCNZxVaJd680m+RPsmoJWkJJrRVv5k18Mbr+2jpK2xxnfYNnW9pnKJ9kpp5Bu7o80YDVWYd+cOzvCKRnd46z2KN/Na1SFvrvD5FK7il5ffUtIh+dIgzy63suYKtQaw9T9R4uh5Pdxk+aKYhItuAVwBnAQ8GPg+cU0r5kxmPsxP4LHAf4BGllCu87VdOJMeiZVmL9bqWcnFW/mJLEM5GJPZHhchzg/YVycg5wRb6vknc1jnq+Y2ObvWE1YoujfZZWQxhJbdgndf7eywrd54FDCJVh6Iu2pZYgVkDyLwCDEvG64CXA68CPgk8G/gjEXlyKeWDMxznbcBNjERyXVZKJLdt2zYRRE8kLRdr3yAczyocsj6qt66lv6TFDRoRxhYXbV/X1tDBD8smktY66wOghfqZ1M/EPBvYiFu3Ly1jZUb7MfU9qNuCiMhFn90o47+19h4so0iKyJGMBPLcUsob1xZfJCLHA+cCIZEUkecA3wX8GvCmyD4rJZLbt2+fiJ7Xv6jXWWXl6n5Mq3/Rc51a1W9axmJsicaMVqXpm5oRdZ1GhLFvxZyWSNUhRDKCt39fkbTquEb/tuh1toyyM2RQT/TvsYSsZazMaD9mHV9gXWcfq3A9pj0fm8SSfBJwEHBBtfwC4B0iclwp5UrvACKyAziPkdiGv7hWTiTH/YpeTdWWkTYi0ane6Bot7h/L/RTtM2pJ8u/rOo3u0zfCb1EiqZmnG9LqK2wp3dZiLbXgCWZLQ7yIVJO+A0jXx9DHttyw9Xz046SvgFoiuaScBNwJ1P2Hu9f+PxFwRRL4DeBzpZR3i8gLoydeKZE84IADeMADHgD4VuGsgxSDXTjcE8loxRtNxBXTkrNoRdd5+7QIa9StGxXJSOh738IAUfFrsYii9z16DZYXwjpntJ/LC46J5GBG++C8qFFrnXWd9bpIQIwXA9Ayckl0H2s7b9xKq53RbVHdTk37mK+Pu6SW5OHAjWX/i9ur1puIyA8Cz2fkap2JlRLJ7du3T0rBRYuIR5P8rZHSvcFqIy9a1PJpCbzpa0lG94m6dVvyMSNh8C3pHENEtEb2b9knGrgTsYq8vzPqop0XLX283j6WxRQN/LE+AIYoxN4yoHTLKDHTRH8O7tYjROQyNb+rlLJLbyAiPwT8eeBYF5dSTulzMSJyEHA+8KZSyuWz7r9SIqkDd7wgHMt1almL9XykDuO0+TEtUXBRC63FDdrXKhxSJFtyxTzxi0RMeuvm2Q/ZF+tv81z71j4tno7I8lb6uiSHvJ5oWTyvaEHENR79yJ61tq9XdamRPaWUk9fZ5q+BRwaONS4+ewNwmIhIZU2OLci92JwN7ADeIiLjwtrjRv9+InK/Usot1s4rJZI6BcRK06jnrUGKo/2L3lddi6uvRXwiItdS1cazJIesINK3T3FROY/zFLxobd3I/lHr0bJK59n3Gg1Ai96DWT+CWgJ/aizR9MTL8hR4FutQxdc3ok+ylHI78LkZdtkN3At4ON1+yRPX/vcsxBMZ5VX+85R1nwL+EfhOa+eVEslt27ZNRNKKRoWYMLbUR/WIRKDW8/MKvOlb1aberqV/sUUk5yWM0cCdWbdZjxZhjOzTVzCHCPyZV+Ss5y7te/4Wou3CUK5TbxqmR9FvhhQQ4EPAN4GfAF6rlj8X+Ow6ka3nAu+qlp3GqDDBcxkVJTBZDcSHkAAAERlJREFUKZE84IAD2LFjBxCvatMSgRq1CiPC2DJSRt8+xWjU6ZCpGdC/TzFaDMBa19eSHJoh+y6jRAJihvCIRIbUqvex1nmFzyOl5KKBP9b+LR8wUavQu4fW36Dbs7ot+MY3vjGZ3kyBO6WUa0XkPOAXROQWRhbgs4BTgdP1tiLyUeDYUsrxa/t+jspqFZGHrU3+bcmKO/vQtVu9+qhWzmKLMHpJ3BHBabEK66o0VuRqVCQjfZ9DW4VD9in27V9siVodmmiR+r5uWetY+l57Lry+fZoa74PIshDr92XWezqEK7mlr1ATFUzro8GLiJ0WLzGHPsl58SrgVuBl7CtL98xSygeq7bYzoLatnEiO3azWMFPj7cZEG6cWiyZiSbb0Sdb7zOpiHSI1I1LJZgiRtPbv6zpdBmG0zhMtYD+r6zW6nXcPWnIzrfsbjbqM9hVGjlW3Bfo5jrpBrQ8KLyXGIhpFa0Xhetb4ZhPJUsrdwOvX/nnbnRI41rvY3wU7lZUSSRGZ6mKIDq/TYtF427SkPEQsyb6DGXuWZFQkWwQvKqaRfWbdZr11LdvNi3kJZnS7aNpJtB8zUhnIux7v/kbv/axEXaeWYHriZZ3Ha6eiKWTTRHJRxSU2Kyslktu2bZv0RUaj06wGPvrCeX0XLekc8+qTbBHJltSMvq5Tb12LVbioIJx54blbre2GdMnWRNJOaqzraalbvCiXd0tATbQtiAhmfWxLTL0PzM1mSW4UCxdJEfkWRlFFJwPfwagS+3GllKsC+/YaKkVEJn2R0dHdrX6Z6Bd8VBRaXJ99a6+2nDNiIXrrhrQQvXWbxY06NBEr09tmSDFtcdH2fa+GTmeIpGNE0izqa2tJb4m6W71Apmmu6fo+b9Znf15shCV5PPBMRkOd/B/g382wb6+hUkRkYkl6DYD1QntBOJEXuCW1og7CsdZ5+0QsyWik6kYE1ESWr7duyH36YrknhybS2EZ/T2+fSPm76LE10QAhr6/Pekb7eog8Iu7j6MghLX2X3ihC0+5VtF96VdkIkfzLUsqDAETkJwmKpAwwVIqITP3S9F6svoE7nksyEngzROBO5Ngtkaot/YvWNt52s24zxD7zZJ7CGCHaJxndJ3KeFsFsCRCKEvUQWeuiVYusd9RLNdHbeUXRNX0q+6RI+ixcJEsprTHWvYdKgX0Pp9fADxGuPm15VHyi4ydG+zFnTeGIuoU10YCJrWAJbmUiv+cQjWpUQDVDpGdMwxLMep1lyXrR5JaL1fuojCz3aMnHTGw2U+DOEEOlTGjp+9C05AUO4cZsKd026z4t6RxDRBWm4G0Ohr5PlmB6fXCesEWIWpKRd9lLVenbFnjvpXXOFk+Bdaxkc4lkr6FSYPSAjL+kol+lLaIQET9vu6hVF90nEmzjvcCR32AIkZyXpRBlo92g82RVfltPMC1XrhcNOq93NNoWDP2OacZ/d7pbfTaTSDYhImcCZ67N3vnQhz70sxt5PUvAEcCejb6IDSZ/g/wNxuTvACeo6Q8z+k36sKV+z80kkk1DpZTROGa7AETksrL+EC5bmvwN8jeA/A3G5O8w+g3G06WU0zbyWpaRzeRf0kOlaCJDpSRJkiTJzGwmkdRDpWgiQ6UkSZIkycxsiLtVRH5sbfJ71v7/f0TkOuC6UsrFa9vcBf9/e2cebEdRxeHvlwSMLGpQQtjDbiIoYGTVEEAWgdKyBFQMECUUoAjIJhAMCaYggEqBUbYgCaAsIptLKhHxgaCgKYtFlgCyKYsJEDBCICzHP05fcjO59y2ZO3fuhPNVTc2bnu7p0+fNnTPd030O083sEADrQ6iUbri4VW2oMKGD0AGEDmqEHkIH3aIyZjJJalbpbZY8uKc8081sTF25/sDJwKEs6ZbuukIFDoIgCN6TlGIkgyAIgqAKVOmbZEMkrSvpOkmvSPqvpOslrdfLsgMlnSPpOUkLJf1F0siiZW41y6oDSSMkXSzpYUmvSXpa0s8lbdAOuVtJnvsgc52TJJmkO4qQs2jy6kHSMEm/lPRC+k3MkXR0kTK3mpzPhPUkTU+/hYWSHpE0SdLKRcvdSiStI+nH6Zn2Wrqnh/aybD9JJ0t6UtLrku6V9KViJe5cKm0kJa0E3Ap8FDgYOBDYBPfp2pub+lJ86HY8sA/wHDBT0pbFSNx6curgK7gno/OBzwEnAVsDsyWtW5jQLaYF90HtOhsCpwJzi5CzaPLqQdII4G58FvlYYC/gh3ik90qQRwfp/C3ASOB7ePunAscBPytQ7CKoBZKYjweS6AvfByYAU/Dnwl14IIm9WilgZaiFRqniBhwNvA1sXJe2AfAWcGwPZT8BGPD1urQB+HfOm8tuW5t0sHqDtPWBd/BvvaW3r2gdZK4zE7gI6ALuKLtdbb4X+uHLqG4oux0l6mD39EzYPZM+OZVfqez29UEP/er+HpvaNbQX5Qbj7j8nZtL/ANxXdrvK2Crdk8Rntd5lZu/6czVfCnIn8IVelH0TuKau7FvA1cAekt7XenELYZl1YGbzGqQ9BcwD1m6xnEWS5z4AQNIBeC/65EIkbA959DAKGAb8qDDp2kMeHayY9v/NpL+Mv0RUxiO4FRNIYosqforJS9WN5MeARm7mHmCxk4Huyj5hZq81KLsiPlxRBfLoYCkkDcPfJh/KKVc7yaUDSYOAc4ETzayh56aKkEcPn077gZLukvSmpLmSzpf0/pZKWSx5dHAL8ChwlqThklaRtAveO73QzF5tragdSW8CSbynqLqRXA0fc8/yEjAoR9na+SqQRwdLIGkAcCHek7w0v2htI68OzgEeAaa1UKYyyKOHtdL+GmAWsBtwNj5U94tWCdgGllkHZvY6/rLQDzcKC/Bhxt8AR7ZWzI4ldyCJ5Y0q+W4NimcKsAOwt5k1etAsd0j6DHAQsHWDB8N7idoL85VmNj793ZXWJk+WNMzMqjS60GckDcRfEgbjE36eBrbBJ/a9BRxRnnRBWVTdSM6n8dths7fJbNn1m5SFJg7TO5A8OngXSZPxaCkHm9msFsnWLvLo4CK81/xvSR9KaQOA/ul4oZm90TJJiyWPHl5M+99n0mfhE1e2ohpD8Hl0cAj+bXZjM/tnSrtd0ivAxZIuNLN7WyZpZ7JMgSSWZ6o+3PoAPoaeZTg9Ozx/ANggTRnPll3E0mPynUoeHQAgaRzwXeAoM7uihbK1izw6GAYcjj8catuOwHbp7yr1HvL+Hrqj3ICUvSePDrYA5tcZyBp/TfthOWWrAhFIIkPVjeTNwHZpfRsAacHsjulcd/waWAHYr67sANwf7KwK9R7y6ABJRwGTgHFmNqUgGYsmjw52brDdi0/+2BmoksvDPHqYgU/Y2COTXgudNJtqkEcHzwODJGUn7W2b9s+0SMZOJgJJZCl7DUqeDVgZ7/Hdj0/v/jz+gHscWKUu3/r4N4XxmfJX472FscCu+APxdfz7VOntK1oHuDOBd/AH5HaZbXjZbWvXfdDgel1Uc51k3t/DaSn9DOCzuHOJhcC0stvWDh0AQ/HlH4/gjgh2Bk5IabOpW3tYhQ3YN20X4Oskj0jHO9XleQu4NFNucnoOHosPP1+QnhP7lN2mUvRYtgAtuBHWA36VbuQFwI1kFs2mm9+ACZn09+Prwp5PN8XdwKiy29QuHeCzOa3J1lV2u9p1HzS4ViWNZF494OsAj01GZhHwFHA6sELZ7WqjDoYD1wL/wl8QHgF+AAwqu13LoIcef9vpeFqmXH/c89RT+OjCfcC+ZbenrC0cnAdBEARBE6r+TTIIgiAICiOMZBAEQRA0IYxkEARBEDQhjGQQBEEQNCGMZBAEQRA0IYxkEARBEDQhjGTQEUi6RtJLkoZk0vtL+pukRzspZJOkoZJM0pi6tDGSvtEg75iUd2gbRazV3U/SPZKOr0ubkOQpzHezpGMk3S8pnjFBpYkbOOgUvo0vbP5pJv144JPAWDNb2HapmvMcsD3w27q0McBSRjLl2T6VaTejgTVZWq9FcxGwOu65JggqSxjJoCMws7nAd4AvStoPQNKmwATgIjO7rUTxlsLM3jCzu8xsXi/yzkt5y/AHfDxwuS0dXLxQ0gvN5an+IKgsYSSDjsHMLscdLE+R9BE8hNU84MSeytYNaY6UdKOk/0l6UdJPssO0ktaUdLmkFyS9Iek+SaMzeYZImi7p2ZTnOUm/kTQ4nV9iuFVSF7ATsGNKt5TWcLhV0gqSJkl6UtKitJ8kaYW6PLU6DpN0epLhZUm/lrROL3SyLR7ZosegyZL2TDqbkoZoa3UfLulMSc9LWiDpSkkrSdpY0sxU5jFJjXqMVwPDJe3QU/1B0KlUPZ5ksPxxGB6u525gQzwA9II+lL8S9735UxYHzF0ZHwpF0srAbXjMwVNwH52jgSskrWRmF6frXIE7wT4h5VkDd4KfDa1W45up7v6pDeC+Q5sxHdgfdyZ+Bx7selxq8wGZvCcDf8aHcgcDP0x1jerm+uARPBbgDr6bIukgYCpwuplNSmn1dXfhw6bDgbNxZ9dbAZfgfk2PAC6TNNvM6kNu3ZPq3zPJHwTVo2znsbHFlt2AM/Hvk7/qQ5kxqcyFmfRxwNvApun4yJRvVCbfLcBcoH86/h8eX7NZfUPTdcbUpXXRwDF6nWxD0/HmNHaufWpK/3imjq5MvuNT+lo96GQGcGeD9Amp/AC8l/4m/s23UftuzaRfn9JH16UNwqNJnNagrj/hoedKv69ii21ZthhuDToKSR8ADsQfxJ+StGofL3Ft5vhq/LPCNul4JPCMmXVl8l2JTzSpBZf9G3CCpKMlbaG6rlULGFlXZ1YG8GHben6XOb4/7dfroZ618OHqZpwLTMQjPExtkmdG5vjhtJ9ZSzCz+fgLxroNys9LcgRBJQkjGXQa5+A9k73xocUz+1j+P02O10771Wg8y/T5uvPgwbdvxnta9wHPSBrfoiUNtTqycmRlqPFS5rg2AWhgD/UMrMvbiK/iwaVv6SbP/Mzxom7SG8mzEA9JFwSVJIxk0DFIGgUcCpxqZjOAScARfZz4sUaT41pU+ZeAISzNkLrzmNlcM/uWma0NfBSPvTmRxd8b81Azelk5hmTO5+VF/IWjGbvivdEZklZpUZ1ZVgNeKOjaQVA4YSSDjiDNQL0EH+Y8LyWfhU/imSppxV5eav/M8VfwiSZ3p+PbgHUk7ZjJdwA+ZPhg9oJmNsfMTsF7T5t3U/cb9K7XdHudbPV8Le27enGN3vAwPhGoGQ/gk382oThDuQEwp4DrBkFbCCMZdAqn47NJx5rZOwBm9iYwFtgMn4DTG/aSdI6k3SSNA07D1wk+ms5PAx4Frpc0Ni19uALYDfiemb0t6YPJy88x6fyuks7He2Wzuqn7QWBzSV+WNELSZo0ymdk/gKuACZJOS7KOxyfUXGVm9zcqtwzcDmwk6cPNMpjZQ7ih3AiYuQzfgJsi6UPApix+KQiCyhFLQILSkTQCdyRwRtZAmNlfJZ0HnCTpWltyiUEjRgPH4csSFuG903cXtJvZq5J2wpcyTAZWxXs6B5pZbeLM68Df8aHf9fGe6Bzga2Z2Uzd1n4Ub9KnAKnivdVSTvGOAx/FlHacCz6byE3toX1+4CW/LPviSk4aY2Zykkz8CsyTt0aL698b/Bze06HpB0HZkZmXLEAS5SYv6LwM2MbPHShanY5A0DVjHzD5bQt0zgBfM7MB21x0ErSJ6kkGwfDMReEjSCDOb3a5KJW0J7AJ8rF11BkERxDfJIFiOMbMn8KHdwW2uegjuaCF69UGlieHWIAiCIGhC9CSDIAiCoAlhJIMgCIKgCWEkgyAIgqAJYSSDIAiCoAlhJIMgCIKgCWEkgyAIgqAJ/wfphagZLq04UgAAAABJRU5ErkJggg==\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 11, "metadata": {}, "outputs": [], "source": [ "from devito import Eq, Operator\n", "\n", "# Computes the residual between observed and synthetic data into the residual\n", "def compute_residual(residual, dobs, dsyn):\n", " if residual.grid.distributor.is_parallel:\n", " # If we run with MPI, we have to compute the residual via an operator\n", " # First make sure we can take the difference and that receivers are at the \n", " # same position\n", " assert np.allclose(dobs.coordinates.data[:], dsyn.coordinates.data)\n", " assert np.allclose(residual.coordinates.data[:], dsyn.coordinates.data)\n", " # Create a difference operator\n", " diff_eq = Eq(residual, dsyn.subs({dsyn.dimensions[-1]: residual.dimensions[-1]}) -\n", " dobs.subs({dobs.dimensions[-1]: residual.dimensions[-1]}))\n", " Operator(diff_eq)()\n", " else:\n", " # A simple data difference is enough in serial\n", " residual.data[:] = dsyn.data[:] - dobs.data[:]\n", " \n", " return residual" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Create FWI gradient kernel \n", "from devito import Function, TimeFunction, norm\n", "from examples.seismic import Receiver\n", "\n", "import scipy\n", "def fwi_gradient(vp_in): \n", " # Create symbols to hold the gradient\n", " grad = Function(name=\"grad\", grid=model.grid)\n", " # Create placeholders for the data residual and data\n", " residual = Receiver(name='residual', grid=model.grid,\n", " time_range=geometry.time_axis, \n", " coordinates=geometry.rec_positions)\n", " d_obs = Receiver(name='d_obs', grid=model.grid,\n", " time_range=geometry.time_axis, \n", " coordinates=geometry.rec_positions)\n", " d_syn = Receiver(name='d_syn', grid=model.grid,\n", " time_range=geometry.time_axis, \n", " coordinates=geometry.rec_positions)\n", " objective = 0.\n", " for i in range(nshots):\n", " # Update source location\n", " geometry.src_positions[0, :] = source_locations[i, :]\n", " \n", " # Generate synthetic data from true model\n", " _, _, _ = solver.forward(vp=model.vp, rec=d_obs)\n", " \n", " # Compute smooth data and full forward wavefield u0\n", " _, u0, _ = solver.forward(vp=vp_in, save=True, rec=d_syn)\n", " \n", " # Compute gradient from data residual and update objective function \n", " compute_residual(residual, d_obs, d_syn)\n", " \n", " objective += .5*norm(residual)**2\n", " solver.gradient(rec=residual, u=u0, vp=vp_in, grad=grad)\n", " \n", " return objective, grad" ] }, { "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": 13, "metadata": {}, "outputs": [], "source": [ "# Compute gradient of initial model\n", "ff, update = fwi_gradient(model0.vp)\n", "assert np.isclose(ff, 57283, rtol=1e0)" ] }, { "cell_type": "code", "execution_count": 14, "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": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from devito import mmax\n", "from examples.seismic import plot_image\n", "\n", "# Plot the FWI gradient\n", "plot_image(-update.data, 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.vp.data - model.vp.data, vmin=-1e-1, vmax=1e-1, cmap=\"jet\")\n", "\n", "# Show what the update does to the model\n", "alpha = .5 / mmax(update)\n", "plot_image(model0.vp.data + alpha*update.data, vmin=2.5, vmax=3.0, 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": 15, "metadata": {}, "outputs": [], "source": [ "from sympy import Min, Max\n", "# Define bounding box constraints on the solution.\n", "def update_with_box(vp, alpha, dm, vmin=2.0, vmax=3.5):\n", " \"\"\"\n", " Apply gradient update in-place to vp with box constraint\n", "\n", " Notes:\n", " ------\n", " For more advanced algorithm, one will need to gather the non-distributed\n", " velocity array to apply constrains and such.\n", " \"\"\"\n", " update = vp + alpha * dm\n", " update_eq = Eq(vp, Max(Min(update, vmax), vmin))\n", " Operator(update_eq)()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Objective value is 57285.103209 at iteration 1\n", "Objective value is 35766.902505 at iteration 2\n", "Objective value is 21002.932951 at iteration 3\n", "Objective value is 11548.234192 at iteration 4\n", "Objective value is 5786.186187 at iteration 5\n" ] } ], "source": [ "#NBVAL_SKIP\n", "\n", "from devito import mmax\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.vp)\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 = .05 / mmax(direction)\n", " \n", " # Update the model estimate and enforce minimum/maximum values\n", " update_with_box(model0.vp , 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": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Plot inverted velocity model\n", "plot_velocity(model0)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": { "@webio": { "lastCommId": null, "lastKernelId": null }, "hide_input": false, "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": "3.7.7" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 1 }