{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Custom finite difference coefficients in Devito\n", "\n", "## Introduction\n", "\n", "When taking the numerical derivative of a function in Devito, the default behaviour is for 'standard' finite difference weights (obtained via a Taylor series expansion about the point of differentiation) to be applied. Consider the following example for some field $u(\\mathbf{x},t)$, where $\\mathbf{x}=(x,y)$. Let us define a computational domain/grid and differentiate our field with respect to $x$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "import numpy as np\n", "import sympy as sp\n", "from devito import Grid, TimeFunction\n", "\n", "# Create our grid (computational domain)\n", "Lx = 10\n", "Ly = Lx\n", "Nx = 11\n", "Ny = Nx\n", "dx = Lx/(Nx-1)\n", "dy = dx\n", "grid = Grid(shape=(Nx,Ny), extent=(Lx,Ly))\n", "\n", "# Define u(x,y,t) on this grid\n", "u = TimeFunction(name='u', grid=grid, time_order=2, space_order=2)\n", "\n", "# Define symbol for laplacian replacement\n", "H = sp.symbols('H')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, lets look at the output of $\\partial u/\\partial x$:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-u(t, x, y)/h_x + u(t, x + h_x, y)/h_x\n" ] } ], "source": [ "print(u.dx.evaluate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default the 'standard' Taylor series expansion result, where `h_x` represents the $x$-direction grid spacing, is returned. However, there may be instances when a user wishes to use 'non-standard' weights when, for example, implementing a dispersion-relation-preserving (DRP) scheme. See e.g. \n", "\n", "[1] Christopher K.W. Tam, Jay C. Webb (1993). ”Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics.” **J. Comput. Phys.**, 107(2), 262--281. https://doi.org/10.1006/jcph.1993.1142\n", "\n", "for further details. The use of such modified weights is facilitated in Devito via the 'symbolic' finite difference coefficents functionality. Let us start by re-defining the function $u(\\mathbf{x},t)$ in the following manner:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "u = TimeFunction(name='u', grid=grid, time_order=2, space_order=2, coefficients='symbolic')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the addition of the `coefficients='symbolic'` keyword. Now, when printing $\\partial u/\\partial x$ we obtain:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "W(x, 1, u(t, x, y), x)*u(t, x, y) + W(x - h_x, 1, u(t, x, y), x)*u(t, x - h_x, y) + W(x + h_x, 1, u(t, x, y), x)*u(t, x + h_x, y)\n" ] } ], "source": [ "print(u.dx.evaluate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Owing to the addition of the `coefficients='symbolic'` keyword the weights have been replaced by sympy functions. Now, take for example the weight `W(x - h_x, 1, u(t, x, y), x)`, the notation is as follows:\n", "* The first `x - h_x` refers to the spatial location of the weight w.r.t. the evaluation point `x`.\n", "* The `1` refers to the order of the derivative.\n", "* `u(t, x, y)` refers to the function with which the weight is associated.\n", "* Finally, the `x` refers to the dimension along which the derivative is being taken.\n", "\n", "Symbolic coefficients can then be manipulated using the Devito 'Coefficient' and 'Substitutions' objects. First, let us consider an example where we wish to replace the coefficients with a set of constants throughout the entire computational domain." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from devito import Coefficient, Substitutions # Import the Devito Coefficient and Substitutions objects\n", "# Grab the grid spatial dimensions: Note x[0] will correspond to the x-direction and x[1] to y-direction\n", "x = grid.dimensions \n", "# Form a Coefficient object and then a replacement rules object (to pass to a Devito equation):\n", "u_x_coeffs = Coefficient(1, u, x[0], np.array([-0.6, 0.1, 0.6]))\n", "coeffs = Substitutions(u_x_coeffs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Devito Coefficient ojects take arguments in the following order:\n", "1. Derivative order (in the above example this is the first derivative)\n", "2. Function to which the coefficients 'belong' (in the above example this is the time function `u`)\n", "3. Dimension on which coefficients will be applied (in the above example this is the x-direction)\n", "4. Coefficient data. Since, in the above example, the coefficients have been applied as a 1-d numpy array replacement will occur at the equation level. (Note that other options are in development and will be the subject of future notebooks)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, lets form a Devito equation, pass it the Substitutions object, and take a look at the output:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eq(0.1*u(t, x, y) - 0.6*u(t, x - h_x, y) + 0.6*u(t, x + h_x, y) - u(t - dt, x, y)/(2*dt) + u(t + dt, x, y)/(2*dt), 0)\n" ] } ], "source": [ "from devito import Eq\n", "eq = Eq(u.dt+u.dx, coefficients=coeffs)\n", "print(eq.evaluate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that in the above equation the standard weights for the first derivative of `u` in the $x$-direction have now been replaced with our user defined weights. Note that since no replacement rules were defined for the time derivative (`u.dt`) standard weights have replaced the symbolic weights.\n", "\n", "Now, let us consider a more complete example." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Finite difference modeling for a large velocity-contrast acousitc wave model\n", "\n", "It is advised to read through the 'Introduction to seismic modelling' notebook located in devito/examples/seismic/tutorials/01_modelling.ipynb before proceeding with this example since much introductory material will be ommited here. The example now considered is based on an example introduced in\n", "\n", "[2] Yang Liu (2013). ”Globally optimal finite-difference schemes based on least squares.” **GEOPHYSICS**, 78(4), 113--132. https://doi.org/10.1190/geo2012-0480.1.\n", "\n", "See figure 18 of [2] for further details. Note that here we will simply use Devito to 'reproduce' the simulations leading to two results presented in the aforementioned figure. No analysis of the results will be carried out. The domain under consideration has a sptaial extent of $2km \\times 2km$ and, letting $x$ be the horizontal coordinate and $z$ the depth, a velocity profile such that $v_1(x,z)=1500ms^{-1}$ for $z\\leq1200m$ and $v_2(x,z)=4000ms^{-1}$ for $z>1200m$.\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `initdamp` run in 0.01 s\n", "Operator `padfunc` run in 0.01 s\n" ] }, { "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", "from examples.seismic import Model, plot_velocity\n", "%matplotlib inline\n", "\n", "# Define a physical size\n", "Lx = 2000\n", "Lz = Lx\n", "h = 10\n", "Nx = int(Lx/h)+1\n", "Nz = Nx\n", "\n", "shape = (Nx, Nz) # Number of grid point\n", "spacing = (h, h) # Grid spacing in m. The domain size is now 2km by 2km\n", "origin = (0., 0.)\n", "\n", "# Define a velocity profile. The velocity is in km/s\n", "v = np.empty(shape, dtype=np.float32)\n", "v[:, :121] = 1.5\n", "v[:, 121:] = 4.0\n", "\n", "# With the velocity and model size defined, we can create the seismic model that\n", "# encapsulates these properties. We also define the size of the absorbing layer as 10 grid points\n", "nbl = 10\n", "model = Model(vp=v, origin=origin, shape=shape, spacing=spacing,\n", " space_order=20, nbl=nbl, bcs=\"damp\")\n", "\n", "plot_velocity(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The seismic wave source term will be modelled as a Ricker Wavelet with a peak-frequency of $25$Hz located at $(1000m,800m)$. Before applying the DRP scheme, we begin by generating a 'reference' solution using a spatially high-order standard finite difference scheme and time step well below the model's critical time-step. The scheme will be 2nd order in time." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from examples.seismic import TimeAxis\n", "\n", "t0 = 0. # Simulation starts a t=0\n", "tn = 500. # Simulation lasts 0.5 seconds (500 ms)\n", "dt = 1.0 # Time step of 0.2ms\n", "\n", "time_range = TimeAxis(start=t0, stop=tn, step=dt)\n", "\n", "#NBVAL_IGNORE_OUTPUT\n", "from examples.seismic import RickerSource\n", "\n", "f0 = 0.015 # Source peak frequency is 25Hz (0.025 kHz)\n", "src = RickerSource(name='src', grid=model.grid, f0=f0,\n", " npoint=1, time_range=time_range)\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] = 800. # Depth is 800m\n", "\n", "# We can plot the time signature to see the wavelet\n", "src.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let us define our wavefield and PDE:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Define the wavefield with the size of the model and the time dimension\n", "u = TimeFunction(name=\"u\", grid=model.grid, time_order=2, space_order=20)\n", "\n", "# We can now write the PDE\n", "pde = model.m * u.dt2 - H + model.damp * u.dt\n", "\n", "# This discrete PDE can be solved in a time-marching way updating u(t+dt) from the previous time step\n", "# Devito as a shortcut for u(t+dt) which is u.forward. We can then rewrite the PDE as \n", "# a time marching updating equation known as a stencil using customized SymPy functions\n", "from devito import solve\n", "\n", "stencil = Eq(u.forward, solve(pde, u.forward).subs({H: u.laplace}))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Finally we define the source injection and receiver read function to generate the corresponding code\n", "src_term = src.inject(field=u.forward, expr=src * dt**2 / model.m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, lets create the operator and execute the time marching scheme:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from devito import Operator\n", "\n", "op = Operator([stencil] + src_term, subs=model.spacing_map)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `Kernel` run in 0.06 s\n" ] }, { "data": { "text/plain": [ "PerformanceSummary([(PerfKey(name='section0', rank=None),\n", " PerfEntry(time=0.05034199999999987, gflopss=0.0, gpointss=0.0, oi=0.0, ops=0, itershapes=[])),\n", " (PerfKey(name='section1', rank=None),\n", " PerfEntry(time=0.0006920000000000073, gflopss=0.0, gpointss=0.0, oi=0.0, ops=0, itershapes=[]))])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "op(time=time_range.num-1, dt=dt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And plot the result:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#import matplotlib\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "\n", "Lx = 2000\n", "Lz = 2000\n", "\n", "abs_lay = nbl*h\n", "\n", "dx = h\n", "dz = dx\n", "X, Z = np.mgrid[-abs_lay: Lx+abs_lay+1e-10: dx, -abs_lay: Lz+abs_lay+1e-10: dz]\n", "\n", "levels = 100\n", "\n", "fig = plt.figure(figsize=(14, 7))\n", "ax1 = fig.add_subplot(111)\n", "cont = ax1.contourf(X,Z,u.data[0,:,:], levels, cmap=cm.binary)\n", "fig.colorbar(cont)\n", "ax1.axis([0, Lx, 0, Lz])\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$z$')\n", "ax1.set_title('$u(x,z,500)$')\n", "\n", "plt.gca().invert_yaxis()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will now reimplement the above model applying the DRP scheme presented in [2].\n", "\n", "First, since we wish to apply different custom FD coefficients in the upper on lower layers we need to define these two 'subdomains' using the `Devito SubDomain` functionality:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from devito import SubDomain\n", "\n", "# Define our 'upper' and 'lower' SubDomains:\n", "class Upper(SubDomain):\n", " name = 'upper'\n", " def define(self, dimensions):\n", " x, z = dimensions\n", " # We want our upper layer to span the entire x-dimension and all\n", " # but the bottom 80 (+boundary layer) cells in the z-direction, which is achieved via\n", " # the following notation:\n", " return {x: x, z: ('left', 80+nbl)}\n", " \n", "class Lower(SubDomain):\n", " name = 'lower'\n", " def define(self, dimensions):\n", " x, z = dimensions\n", " # We want our lower layer to span the entire x-dimension and all\n", " # but the top 121 (+boundary layer) cells in the z-direction.\n", " return {x: x, z: ('right', 121+nbl)}\n", "\n", "# Create these subdomains:\n", "ur = Upper()\n", "lr = Lower()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now create our model incoporating these subdomains:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `initdamp` run in 0.01 s\n", "Operator `padfunc` run in 0.01 s\n" ] } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Our scheme will now be 10th order (or less) in space.\n", "order = 10\n", "\n", "# Create our model passing it our 'upper' and 'lower' subdomains: \n", "model = Model(vp=v, origin=origin, shape=shape, spacing=spacing,\n", " space_order=order, nbl=nbl, subdomains=(ur,lr), bcs=\"damp\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And re-define model related objects. Note that now our wave-field will be defined with `coefficients='symbolic'`." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "t0 = 0. # Simulation starts a t=0\n", "tn = 500. # Simulation last 1 second (500 ms)\n", "dt = 1.0 # Time step of 1.0ms\n", "\n", "time_range = TimeAxis(start=t0, stop=tn, step=dt)\n", "\n", "f0 = 0.025 # Source peak frequency is 25Hz (0.025 kHz)\n", "src = RickerSource(name='src', grid=model.grid, f0=f0,\n", " npoint=1, time_range=time_range)\n", "\n", "src.coordinates.data[0, :] = np.array(model.domain_size) * .5\n", "src.coordinates.data[0, -1] = 800. # Depth is 800m\n", "\n", "# New wave-field\n", "u_DRP = TimeFunction(name=\"u_DRP\", grid=model.grid, time_order=2, space_order=order, coefficients='symbolic')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now create a stencil for each of our 'Upper' and 'Lower' subdomains defining different custom FD weights within each of these subdomains." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# The underlying pde is the same in both subdomains\n", "pde_DRP = model.m * u_DRP.dt2 - H + model.damp * u_DRP.dt\n", "\n", "# Define our custom FD coefficients:\n", "x, z = model.grid.dimensions\n", "# Upper layer\n", "weights_u = np.array([ 2.00462e-03, -1.63274e-02, 7.72781e-02, \n", " -3.15476e-01, 1.77768e+00, -3.05033e+00, \n", " 1.77768e+00, -3.15476e-01, 7.72781e-02, \n", " -1.63274e-02, 2.00462e-03])\n", "# Lower layer\n", "weights_l = np.array([ 0. , 0. , 0.0274017, \n", " -0.223818, 1.64875 , -2.90467, \n", " 1.64875 , -0.223818, 0.0274017, \n", " 0. , 0. ])\n", "# Create the Devito Coefficient objects:\n", "ux_u_coeffs = Coefficient(2, u_DRP, x, weights_u/x.spacing**2)\n", "uz_u_coeffs = Coefficient(2, u_DRP, z, weights_u/z.spacing**2)\n", "ux_l_coeffs = Coefficient(2, u_DRP, x, weights_l/x.spacing**2)\n", "uz_l_coeffs = Coefficient(2, u_DRP, z, weights_l/z.spacing**2)\n", "# And the replacement rules:\n", "coeffs_u = Substitutions(ux_u_coeffs,uz_u_coeffs)\n", "coeffs_l = Substitutions(ux_l_coeffs,uz_l_coeffs)\n", "# Create a stencil for each subdomain:\n", "stencil_u = Eq(u_DRP.forward, solve(pde_DRP, u_DRP.forward).subs({H: u_DRP.laplace}),\n", " subdomain = model.grid.subdomains['upper'], coefficients=coeffs_u)\n", "stencil_l = Eq(u_DRP.forward, solve(pde_DRP, u_DRP.forward).subs({H: u_DRP.laplace}),\n", " subdomain = model.grid.subdomains['lower'], coefficients=coeffs_l)\n", "\n", "# Source term:\n", "src_term = src.inject(field=u_DRP.forward, expr=src * dt**2 / model.m)\n", "\n", "# Create the operator, incoporating both upper and lower stencils:\n", "op = Operator([stencil_u, stencil_l] + src_term, subs=model.spacing_map)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now execute the operator:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `Kernel` run in 0.03 s\n" ] }, { "data": { "text/plain": [ "PerformanceSummary([(PerfKey(name='section0', rank=None),\n", " PerfEntry(time=0.02794600000000001, gflopss=0.0, gpointss=0.0, oi=0.0, ops=0, itershapes=[])),\n", " (PerfKey(name='section1', rank=None),\n", " PerfEntry(time=0.00084200000000001, gflopss=0.0, gpointss=0.0, oi=0.0, ops=0, itershapes=[]))])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "op(time=time_range.num-1, dt=dt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And plot the new results:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(14, 7))\n", "ax1 = fig.add_subplot(111)\n", "cont = ax1.contourf(X,Z,u_DRP.data[0,:,:], levels, cmap=cm.binary)\n", "fig.colorbar(cont)\n", "ax1.axis([0, Lx, 0, Lz])\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$z$')\n", "ax1.set_title('$u_{DRP}(x,z,500)$')\n", "\n", "plt.gca().invert_yaxis()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, for comparison, lets plot the difference between the standard 20th order and optimized 10th order models:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(14, 7))\n", "ax1 = fig.add_subplot(111)\n", "cont = ax1.contourf(X,Z,abs(u_DRP.data[0,:,:]-u.data[0,:,:]), levels, cmap=cm.binary)\n", "fig.colorbar(cont)\n", "ax1.axis([0, Lx, 0, Lz])\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$z$')\n", "\n", "plt.gca().invert_yaxis()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Wavefield norm checks\n", "assert np.isclose(np.linalg.norm(u.data[-1]), 139.108, atol=0, rtol=1e-4)\n", "assert np.isclose(np.linalg.norm(u_DRP.data[-1]), 83.636, atol=0, rtol=1e-4)" ] } ], "metadata": { "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": 4 }