{ "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "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=3.0, vp_background=2.5,\n", " origin=origin, shape=shape, spacing=spacing, nbl=40)\n", "\n", "model0 = demo_model('circle-isotropic', vp=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": "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": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "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": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "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": 6, "metadata": {}, "outputs": [], "source": [ "# Compute synthetic data with forward operator \n", "from examples.seismic.acoustic import AcousticWaveSolver\n", "\n", "solver = AcousticWaveSolver(model, geometry, space_order=4)\n", "true_d, _, _ = solver.forward(vp=model.vp)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Compute initial data with forward operator \n", "smooth_d, _, _ = solver.forward(vp=model0.vp)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "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": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "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": 10, "metadata": {}, "outputs": [], "source": [ "# Create FWI gradient kernel \n", "from devito import Function, TimeFunction\n", "from examples.seismic import Receiver\n", "\n", "import scipy\n", "def fwi_gradient(vp_in): \n", " # Create symbols to hold the gradient and residual\n", " grad = Function(name=\"grad\", grid=model.grid)\n", " residual = Receiver(name='rec', grid=model.grid,\n", " time_range=geometry.time_axis, \n", " coordinates=geometry.rec_positions)\n", " objective = 0.\n", " 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", " true_d, _, _ = solver.forward(vp=model.vp)\n", " \n", " # Compute smooth data and full forward wavefield u0\n", " smooth_d, u0, _ = solver.forward(vp=vp_in, save=True)\n", " \n", " # Compute gradient from data residual and update objective function \n", " residual.data[:] = smooth_d.data[:] - true_d.data[:]\n", " \n", " objective += .5*np.linalg.norm(residual.data.flatten())**2\n", " solver.gradient(rec=residual, u=u0, vp=vp_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 57283.085366 \n" ] } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Compute gradient of initial model\n", "ff, update = fwi_gradient(model0.vp)\n", "print('Objective value is %f ' % ff)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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.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 / np.abs(update).max()\n", "plot_image(model0.vp.data - alpha*update, 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": 13, "metadata": {}, "outputs": [], "source": [ "# Define bounding box constraints on the solution.\n", "def apply_box_constraint(vp):\n", " # Maximum possible 'realistic' velocity is 3.5 km/sec\n", " # Minimum possible 'realistic' velocity is 2 km/sec\n", " return np.clip(vp, 2.0, 3.5)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Objective value is 57283.085366 at iteration 1\n", "Objective value is 35764.719809 at iteration 2\n", "Objective value is 21001.471868 at iteration 3\n", "Objective value is 11547.503946 at iteration 4\n", "Objective value is 5785.739636 at iteration 5\n" ] } ], "source": [ "#NBVAL_SKIP\n", "\n", "# Run FWI with gradient descent\n", "history = np.zeros((fwi_iterations, 1))\n", "for i in range(0, fwi_iterations):\n", " # Compute the functional value and gradient for the current\n", " # model estimate\n", " phi, direction = fwi_gradient(model0.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 / np.abs(direction).max()\n", " \n", " # Update the model estimate and enforce minimum/maximum values\n", " model0.vp = apply_box_constraint(model0.vp.data - alpha * direction)\n", " \n", " # Log the progress made\n", " print('Objective value is %f at iteration %d' % (phi, i+1))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "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": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "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 }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" }, "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 }