{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# 02 - Reverse Time Migration\n", "\n", "This notebook is the second 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 operator and velocity model.\n", "\n", "## Imaging requirement\n", "\n", "Seismic imaging 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 generate synthetic field data by modelling it with the **true velocity model**.\n", "\n", "- **Background velocity model**. This is a velocity model that has been obtained by processing and inverting the field data. We will look at this methods in the following tutorial as it relies on the method we are describing here. This velocity model is usually a **smooth version** of the true velocity model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imaging computational setup\n", "\n", "In this tutorial, we will introduce the back-propagation operator. This operator simulates the adjoint wave-equation, that is a wave-equation solved in a reversed time order. This time reversal led to the naming of the method we present here, called Reverse Time Migration. The notion of adjoint in exploration geophysics is fundamental as most of the wave-equation based imaging and inversion methods rely on adjoint based optimization methods.\n", "\n", "## Notes on the operators\n", "\n", "As we already describe the creation of a forward modelling operator, we will use a thin wrapper function instead. This wrapper is provided by a utility class called `AcousticWaveSolver`, which provides all the necessary operators for seismic modeling, imaging and inversion. The `AcousticWaveSolver` provides a more concise API for common wave propagation operators and caches the the Devito `Operator` objects to avoid unnecessary recompilation. However, any newly introduced operators will be fully described and only used from the wrapper in the next tutorials.\n", "\n", "As before we initialize printing and import some utilities. We also raise the Devito log level to avoid excessive logging for repeated operator invocations." ] }, { "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": { "collapsed": true }, "source": [ "## Computational considerations\n", "\n", "Seismic inversion algorithms are generally very computationally demanding and require a large amount of memory to store the forward wavefield. In order to keep this tutorial as light-weight as possible we are using a very simple\n", "velocity model that requires low temporal and special resolution. For a more realistic model, a second set of preset parameters for a reduced version of the 2D Marmousi data set [1] is provided below in comments. This can be run to create some more realistic subsurface images. However, this second present is more computationally demanding and requires a slightly more powerful workstation." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Configure model presets\n", "from examples.seismic import demo_model\n", "\n", "# Enable model presets here:\n", "preset = 'twolayer-isotropic' # A simple but cheap model (recommended)\n", "# preset = 'marmousi2d' # A larger more realistic model\n", "\n", "# Standard preset with a simple two-layer model\n", "if preset == 'twolayer-isotropic':\n", " def create_model():\n", " return demo_model('twolayer-isotropic', origin=(0., 0.), shape=(101, 101),\n", " spacing=(10., 10.), nbpml=20)\n", " filter_sigma = (1, 1)\n", " nshots = 21\n", " nreceivers = 101\n", " t0 = 0.\n", " tn = 1000. # Simulation last 1 second (1000 ms)\n", " f0 = 0.010 # Source peak frequency is 10Hz (0.010 kHz)\n", "\n", "\n", "# A more computationally demanding preset based on the 2D Marmousi model\n", "if preset == 'marmousi2d-isotropic':\n", " def create_model():\n", " return demo_model('marmousi2d-isotropic', data_path='../../../../opesci-data/')\n", " filter_sigma = (6, 6)\n", " nshots = 301 # Need good covergae in shots, one every two grid points\n", " nreceivers = 601 # One recevier every grid point\n", " t0 = 0.\n", " tn = 3500. # Simulation last 3.5 second (3500 ms)\n", " f0 = 0.025 # Source peak frequency is 25Hz (0.025 kHz)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# True and smooth velocity models\n", "\n", "First, we create the model data for the \"true\" model from a given demonstration preset. This model represents the subsurface topology for the purposes of this example and we will later use it to generate our synthetic data readings. We also generate a second model and apply a smoothing filter to it, which represents our initial model for the imaging algorithm. The perturbation between these two models can be thought of as the image we are trying to recover." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ajpb0PGmyhDGkh10vKn/8xczMiuu26fkkPUyKM3lERGySN++atSTpM6SlyPaM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\n", 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7qeq1PH8F7ECagu860oKhIi1NtgvwDVKr8WM5r3cWaaaiqyUdSWrFfh94DDiz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\ngg==\n", 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pVsVRwGrZ4ZOovGxtWXkD7v7AqIj4FfBAybGngLXzZCJpSeA2YH1gX9J0kOsC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\nGVgJ+J968vCgKTMzS9ozaOp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define true and intiial model\n", "from examples.seismic import plot_velocity, plot_perturbation\n", "from scipy import ndimage\n", "\n", "# Create true model from a preset\n", "model = create_model()\n", "\n", "# Create initial model and smooth the boundaries\n", "model0 = create_model()\n", "model0.vp = ndimage.gaussian_filter(model0.vp, sigma=filter_sigma, order=0)\n", "\n", "# Plot the true and initial model and the perturbation between them\n", "plot_velocity(model)\n", "plot_velocity(model0)\n", "plot_perturbation(model0, model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Acquisition geometry\n", "\n", "Next we define the positioning and the wave signal of our source and the location of our receivers. To generate the wavelet for our source we require the discretized values of time that we are going to use to model a single \"shot\",,\n", "which again depends on the grid spacing used in our model. For consistency this initial setup will look exactly as in the previous modelling tutorial, although we will vary the position of our source later on during the actual imaging algorithm." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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ECTVWqhIhIiKhWnsi3gP8ArjdzJ4EdhA0Vq4GniDomZAprthY2ejeGRBUItKq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\nk5J6KhGbw+mdK7XxlojItDA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define acquisition geometry: source\n", "from examples.seismic import RickerSource\n", "\n", "# Define time discretization according to grid spacing\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", "src = RickerSource(name='src', ndim=2, f0=f0, time=np.linspace(t0, tn, nt))\n", "\n", "# First, position source centrally in all dimensions, then set depth\n", "src.coordinates.data[0, :] = np.array(model.domain_size) * .5\n", "src.coordinates.data[0, -1] = 20. # Depth is 20m\n", "\n", "# We can plot the time signature to see the wavelet\n", "src.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define acquisition geometry: receivers\n", "from examples.seismic import Receiver\n", "\n", "# Initialize receivers for synthetic and imaging data\n", "rec = Receiver(name='rec', npoint=nreceivers, ntime=nt, ndim=2)\n", "rec.coordinates.data[:, 0] = np.linspace(0, model.domain_size[0], num=nreceivers)\n", "rec.coordinates.data[:, 1] = 30." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# True and smooth data\n", "\n", "We can now generate the shot record (receiver readings) corresponding to our true and initial models. The difference between these two records will be the basis of the imaging procedure.\n", "\n", "For this purpose we will use the same forward modelling operator that was introduced in the previous tutorial, provided by the `WaveSolver` utility class. This object instantiates a set of pre-defined operators according to an initial definition of the acquisition geometry, consisting of source and receiver symbols. The solver objects caches the individual operators and provides a slightly more high-level API that allows us to invoke the modelling modelling operators from the initial tutorial in a single line. In the following cells we use this to generate shot data by only specifying the respective model symbol `m` to use, and the solver will create and return a new `Receiver` object the represents the readings at the previously defined receiver coordinates. " ] }, { "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", "from devito.interfaces import TimeData\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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PBkuXj3nMY+oypy/LAfbKZE9JbrN2XGkqXXoTqadIl7OQNGPXaSp1AuPPzZI6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buozl+WSwdPmYxzxmXOb0ZTnAXpnsKcl91o4rdaVLbyL1FOmyD0kzdp66Uicw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OcKJ1SC7G3VNXMN0wubIn2t+wn4jIzcAuqnqdiNxCOp+Hqup6OdftRJhPBj4A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\n6fXA65vFB5YtW3bFOMszAWwCjF5lmixqHdQ66FHrAZ5sfp9HrJM2LPT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot shot record for true and smooth velocity model and the difference\n", "from examples.seismic import plot_shotrecord\n", "\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": [ "# Imaging with back-propagation\n", "\n", "As we explained in the introduction of this tutorial, this method is based on back-propagation. \n", "\n", "## Adjoint wave equation\n", "\n", "If we go back to the modelling part, we can rewrite the simulation as a linear system solve:\n", "\n", "\\begin{equation}\n", "\\mathbf{A}(\\mathbf{m}) \\mathbf{u} = \\mathbf{q}\n", "\\end{equation}\n", "\n", "where $\\mathbf{m}$ is the discretized square slowness, $\\mathbf{q}$ is the discretized source and $\\mathbf{A}(\\mathbf{m})$ is the discretized wave-equation. The discretized wave-equation matricial representation is a lower triangular matrix that can be solve with forward substitution. The pointwise writing or the forward substitution leads to the time-stepping stencil.\n", "\n", "On a small problem one could form the matrix explicitly and transpose it to obtain the adjoint discrete wave-equation:\n", "\n", "\\begin{equation}\n", "\\mathbf{A}(\\mathbf{m})^T \\mathbf{v} = \\delta \\mathbf{d}\n", "\\end{equation}\n", "\n", "where $\\mathbf{v}$ is the discrete **adjoint wavefield** and $\\delta \\mathbf{d}$ is the data residual defined as the difference between the field/observed data and the synthetic data $\\mathbf{d}_s = \\mathbf{P}_r \\mathbf{u}$. In our case we derive the discrete adjoint wave-equation from the discrete forward wave-equation to get its stencil. \n", "\n", "## Imaging\n", "\n", "Wave-equation based imaging relies on one simple concept:\n", "\n", "- If the background velocity model is cinematically correct, the forward wavefield $\\mathbf{u}$ and the adjoint wavefield $\\mathbf{v}$ meet at the reflectors position at zero time offset. \n", "\n", "The sum over time of the zero time-offset correlation of these two fields then creates an image of the subsurface. Mathematically this leads to the simple imaging condition:\n", "\n", "\\begin{equation}\n", " \\text{Image} = \\sum_{t=1}^{n_t} \\mathbf{u}[t] \\mathbf{v}[t]\n", "\\end{equation}\n", "\n", "In the following tutorials we will describe a more advanced imaging condition that produces shaper and more accurate results.\n", "\n", "## Operator\n", "\n", "We will now define the imaging operator that computes the adjoint wavefield $\\mathbf{v}$ and correlates it with the forward wavefield $\\mathbf{u}$. This operator essentially consist of three components:\n", "* Stencil update of the adjoint wavefield `v`\n", "* Injection of the data residual at the adjoint source (forward receiver) location\n", "* Correlation of `u` and `v` to compute the image contribution at each timestep" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define gradient operator for imaging\n", "from devito import Backward, Operator\n", "from devito import t, time, x, y\n", "from examples.seismic import PointSource\n", "\n", "from sympy import solve, Eq\n", "\n", "def ImagingOperator(model, image):\n", " # Define the wavefield with the size of the model and the time dimension\n", " v = TimeData(name='v', shape=model.shape_domain, time_order=2, space_order=4)\n", "\n", " u = TimeData(name='u', shape=model.shape_domain, time_order=2, space_order=4,\n", " save=True, time_dim=nt)\n", " \n", " # Define the wave equation, but with a negated damping term\n", " eqn = model.m * v.dt2 - v.laplace - model.damp * v.dt\n", "\n", " # Use SymPy to rearranged the equation into a stencil expression\n", " stencil = Eq(v.backward, solve(eqn, v.backward)[0])\n", " \n", " # Define residual injection at the location of the forward receivers\n", " dt = model.critical_dt\n", " residual = PointSource(name='residual', ntime=nt, coordinates=rec.coordinates.data) \n", " res_term = residual.inject(field=v, expr=residual * dt**2 / model.m, offset=model.nbpml)\n", "\n", " # Correlate u and v for the current time step and add it to the image\n", " image_update = Eq(image, image - u * v)\n", "\n", " return Operator([stencil] + res_term + [image_update],\n", " subs={t.spacing: model.critical_dt,\n", " x.spacing: model.spacing[0],\n", " y.spacing: model.spacing[1]},\n", " time_axis=Backward)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation of the imaging loop\n", "\n", "As we just explained, the forward wave-equation is solved forward in time while the adjoint wave-equation is solved in a reversed time order. Therefore, the correlation of these two fields over time requires to store one of the two fields. The computational procedure for imaging follows:\n", "\n", "- Simulate the forward wave-equation 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 image contribution at each time step. \n", "\n", "This procedure is applied to multiple source positions (shots) and summed to obtain the full image of the subsurface. We can first visualize the varying locations of the sources that we will use. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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JLO8kCfMkjSQ9H7MzaZDQi9kFL4uIhUUu2kulQH9pRIzOfp6QDWA6SdKwiHi0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\nNsyZtismmu9tHUjaStL5kh7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Prepare the varying source locations sources\n", "source_locations = np.empty((nshots, 2), dtype=np.float32)\n", "source_locations[:, 0] = np.linspace(0., 1000, num=nshots)\n", "source_locations[:, 1] = 30.\n", "\n", "plot_velocity(model, source=source_locations)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Imaging source 1 out of 21\n", "Imaging source 2 out of 21\n", "Imaging source 3 out of 21\n", "Imaging source 4 out of 21\n", "Imaging source 5 out of 21\n", "Imaging source 6 out of 21\n", "Imaging source 7 out of 21\n", "Imaging source 8 out of 21\n", "Imaging source 9 out of 21\n", "Imaging source 10 out of 21\n", "Imaging source 11 out of 21\n", "Imaging source 12 out of 21\n", "Imaging source 13 out of 21\n", "Imaging source 14 out of 21\n", "Imaging source 15 out of 21\n", "Imaging source 16 out of 21\n", "Imaging source 17 out of 21\n", "Imaging source 18 out of 21\n", "Imaging source 19 out of 21\n", "Imaging source 20 out of 21\n", "Imaging source 21 out of 21\n" ] } ], "source": [ "# Run imaging loop over shots\n", "from devito.interfaces import DenseData\n", "\n", "# Create image symbol and instantiate the previously defined imaging operator\n", "image = DenseData(name='image', shape=model.shape_domain, dtype=model.m.dtype)\n", "op_imaging = ImagingOperator(model, image)\n", "\n", "for i in range(nshots):\n", " print('Imaging source %d out of %d' % (i+1, nshots))\n", " \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=model0.m, save=True)\n", " \n", " # Compute gradient from the data residual \n", " v = TimeData(name='v', shape=model.shape_domain, time_order=2, space_order=4)\n", " op_imaging(u=u0, v=v, m=model0.m, residual=smooth_d.data - true_d.data)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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tGXXMpyrX5bhjyvlSLddJTlloO/E/Rb7tuOEsjrk2TZtqmyBklu7tJKzTUceb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\ndBkt/AlJTwFeBVwI7A78gCx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the inverted image\n", "from examples.seismic import plot_image\n", "\n", "plot_image(np.diff(image.data, axis=1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we have an image of the subsurface with a strong reflector at the original location." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] _Versteeg, R.J. & Grau, G. (eds.) (1991): The Marmousi experience. Proc. EAGE workshop on Practical Aspects of Seismic Data Inversion (Copenhagen, 1990), Eur. Assoc. Explor. Geophysicists, Zeist._" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2.0 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 0 }