diff --git a/examples/seismic/tutorials/16_variable_z_topography.ipynb b/examples/seismic/tutorials/16_variable_z_topography.ipynb index 2a64c0b9c5..101e96d115 100644 --- a/examples/seismic/tutorials/16_variable_z_topography.ipynb +++ b/examples/seismic/tutorials/16_variable_z_topography.ipynb @@ -1,5 +1,18 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Variable-z curvilinear topography\n", + "\n", + "In this notebook, we will create a simple implementation of a cosine hill topography based on coordinate transforms. This approach to irregular topography is commonly used in industry and academia, and is based upon creating some coordinate transform which maps the curved free-surface to a horizontal, grid-coincident plane in the iteration space. The most straightforward way of achieving this is by stretching the grid in the z axis, often referred to as \"variable-z\". This yields a transformed wave equation which can be solved with an explict FD solver.\n", + "\n", + "## The transformation\n", + "\n", + "To implement our curvilinear solver, we need to know the transformation required to map the surface onto a horizontal plane, in this case the centre of the iteration space. For simplicity, we apply a linear warping of the z dimension." + ] + }, { "cell_type": "code", "execution_count": 1, @@ -14,7 +27,7 @@ " \"\"\"\n", " Generates an expression for Z position of\n", " cosine hill of height h, with a baseline\n", - " at z_b. Thengets functions evaluating derivatives\n", + " at z_b. Then gets functions evaluating derivatives\n", " of zeta with respect to x and z. Uses a linear\n", " warping of the z dimension to map the surface\n", " z_s to the midpoint of the vertical iteration\n", @@ -100,6 +113,17 @@ "zeta_xz, zeta_dx1, zeta_dz1, zeta_dx2, zeta_dz2, z_xzeta, z_s = zeta_derivs(lambdify=True)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Evaluate derivatives needed for the transform\n", + "\n", + "To apply the transformation to the wave equation, the z dimension is parameterized as a function of zeta. To get the equation in terms of x and zeta, the chain rule must be applied, which yields an expression containing derivatives of zeta with respect to x and z.\n", + "\n", + "As the expression for the topography is known, it is possible to evaluate these expressions algebraically and plot the curvilinear grid." + ] + }, { "cell_type": "code", "execution_count": 2, @@ -109,19 +133,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -156,8 +168,6 @@ "x_vals = np.linspace(x_m, x_M, grid.shape[0])\n", "zeta_vals = np.linspace(zeta_m, zeta_M, grid.shape[1])\n", "surface_z = z_s(x_vals, x_M, x_m, z_b, h)\n", - "plt.plot(x_vals, surface_z)\n", - "plt.show()\n", "\n", "# Derivatives of zeta can be precalculated\n", "# dzeta/dz is constant wrt z (only needs dimensions of y)\n", @@ -188,6 +198,7 @@ "# Make a plot showing zeta horizons in x-z space\n", "cells = 20\n", "plt.figure()\n", + "plt.title(\"The Curvilinear Grid\")\n", "ax = plt.gca()\n", "ax.set_aspect('equal')\n", "# Plot the x lines\n", @@ -200,6 +211,15 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The transformed equation\n", + "\n", + "Now we can write out our transformed equation. Both derivatives in the Laplacian will have modified expressions reflecting the new coordinate system." + ] + }, { "cell_type": "code", "execution_count": 3, @@ -220,6 +240,15 @@ "eq = Eq(p.forward, 2*p - p.backward + c**2*(pdx2 + pdz2))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The free surface\n", + "\n", + "We now implement the free surface on a horizontal plane in the iteration space by antisymmetric mirroring the pressure field across it." + ] + }, { "cell_type": "code", "execution_count": 4, @@ -251,6 +280,13 @@ "bcs = freesurface(p)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now solve this equation as any other in Devito:" + ] + }, { "cell_type": "code", "execution_count": 5, @@ -292,9 +328,9 @@ "data": { "text/plain": [ "PerformanceSummary([(PerfKey(name='section0', rank=None),\n", - " PerfEntry(time=0.008717000000000013, gflopss=0.0, gpointss=0.0, oi=0.0, ops=0, itershapes=[])),\n", + " PerfEntry(time=0.009601999999999996, gflopss=0.0, gpointss=0.0, oi=0.0, ops=0, itershapes=[])),\n", " (PerfKey(name='section1', rank=None),\n", - " PerfEntry(time=6.999999999999999e-06, gflopss=0.0, gpointss=0.0, oi=0.0, ops=0, itershapes=[]))])" + " PerfEntry(time=1.9000000000000004e-05, gflopss=0.0, gpointss=0.0, oi=0.0, ops=0, itershapes=[]))])" ] }, "execution_count": 6, @@ -309,6 +345,15 @@ "op(time=time_range.num-1, dt=dt)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plotting the wavefield\n", + "\n", + "We will first plot the wavefield in the transformed space. As we can see, the top of the wavefield is flattened, with this flattening being most pronounced at the apex of the cosine hill." + ] + }, { "cell_type": "code", "execution_count": 7, @@ -335,10 +380,19 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Transforming back to physical space, the wavefront becomes circular and the focusing effect of the surface curvature becomes apparent." + ] + }, { "cell_type": "code", "execution_count": 8, - "metadata": {}, + "metadata": { + "scrolled": false + }, "outputs": [ { "data": {