{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example 2: Reproducing Receiver Functions for Dipping and Anisotropic Subsurface Structure\n", "\n", "In this example we generate *P* receiver functions for a model that includes either a dipping lower crustal layer or a lower-crustal anisotropic layer. These example reproduce the results of Figure 3 in [Porter et al. (2011)](#references).\n", "\n", "Start by importing the necessary packages:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from pyraysum import prs, Geometry, Model, Control\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dipping Layers\n", "First we define the arrays of slowness and back-azimuth values of the incident `P` wave to use as input in the simulation" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "baz = np.arange(0., 360., 10.)\n", "slow = 0.06\n", "geom = Geometry(baz, slow)\n", "_ = geom.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we define the model object. These values are found in the caption of Figure 3 in [Porter et al. (2011)](#references). Note that $V_S$ can be parameterized either directly or as $V_P/V_S$, which is what we do here. Also note that values that are constant for all layers can be given as floats. " ] }, { "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" }, { "name": "stdout", "output_type": "stream", "text": [ "# thickn rho vp vs flag aniso trend plunge strike dip\n", " 20000.0 2800.0 6400.0 3657.1 1 0.0 0.0 0.0 90.0 0.0\n", " 5000.0 2800.0 5800.0 3333.3 1 0.0 0.0 0.0 90.0 20.0\n", " 0.0 2800.0 7800.0 4482.8 1 0.0 0.0 0.0 90.0 20.0\n" ] } ], "source": [ "thickn = [20000, 5000, 0]\n", "rho = 2800\n", "vp = [6400, 5800, 7800]\n", "vpvs = [1.75, 1.74, 1.74]\n", "dip = [0, 20, 20]\n", "strike = 90\n", "\n", "model = Model(thickn, rho, vp, vpvs=vpvs, strike=strike, dip=dip)\n", "model.plot()\n", "print(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we specify the run-control parameters. Here we use the argument `rot=1` to produce seismograms aligned in the `R-T-Z` coordinate system. The default value is `rot=0`, which produces seismograms aligned in the `N-E-Z` coordinate system that ***should not*** be used to calculate receiver functions. Furthermore, we are interested only in the direct conversions, and therefore specify `mults=0` to avoid dealing with multiples. This is required to reproduce the published examples, although it is good practice to keep all first-order multiples to properly simulate all possible phase arrivals." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "rc = Control(rot=1, mults=0, verbose=False, npts=1200, dt=0.0125)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's run the simulation. All book-keeping is handled internally." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "result = prs.run(model, geom, rc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function returns a `Result` object whose attributes are the `Model`, `Geometry` of incoming rays, a list of `Streams` as well as all run-time arguments that are used by Raysum:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys(['model', 'geometry', 'streams', 'rc', 'rfs'])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result.__dict__.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then use the method `calculate_rfs()` to calculate receiver functions." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "result.calculate_rfs()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The receiver functions are stored as an additional attribute of the streamlist object, which is itself a list of `Streams` containing the radial and transverse component RFs:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys(['model', 'geometry', 'streams', 'rc', 'rfs'])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result.__dict__.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now filter and plot the results - we specify the key `'rfs'` to work on the receiver functions only. " ] }, { "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": [ "result.filter('rfs', 'lowpass', freq=1., zerophase=True, corners=2)\n", "result.plot('rfs', tmin=-0.5, tmax=8.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Anisotropic Layers\n", "Now let's reproduce the second case with the anisotropic lower crustal layer. Here, the second layer (`1` in python indexing) is not dipping, but has a strong anisotropy of -20% (a negative value means a slow axis of hexagonal symmetry). The anisotropy axis trends south (`trend = 180`) and plunges 45 degree (`plunge = 45`). The *P*-wave velocity is 6.2 km/s. We could define a new model as above. Another possibility is to use use a short command string to change the existing model.\n", "\n", "Note that when we change the *P*-wave velocity and want to maintain a constant $V_P/V_S$ ratio, we must explicitly change `vpvs` by changing `vs`. This is achieved using the `'pss'` attribute indicator below." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Changed: dip[1] = 0.0\n", "Changed: dip[2] = 0.0\n", "Changed: vp[1] = 6200.0\n", "Changed: vpvs[1] = 1.75\n", "Changed: ani[1] = -20.0\n", "Changed: trend[1] = 180.0\n", "Changed: plunge[1] = 45.0\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "# thickn rho vp vs flag aniso trend plunge strike dip\n", " 20000.0 2800.0 6400.0 3657.1 1 0.0 0.0 0.0 90.0 0.0\n", " 5000.0 2800.0 6200.0 3542.9 0 -20.0 180.0 45.0 90.0 0.0\n", " 0.0 2800.0 7800.0 4482.8 1 0.0 0.0 0.0 90.0 0.0\n" ] } ], "source": [ "model.change('d1=0; d2=0; vp1=6.2; pss1=1.75; a1=-20; tr1=180; pl1=45;')\n", "model.plot()\n", "print(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of two dipping interfaces, the model now has a thin anisotropic layer at the base of the crust. We again compute synthetic seismograms and use the `rf` argument to process the receiver functions as well." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "result = prs.run(model, geom, rc, rf=True)\n", "\n", "result.filter('rfs', 'lowpass', freq=1., zerophase=True, corners=2)\n", "result.plot('rfs', tmin=-0.5, tmax=8.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Understanding Fast and Slow S-Waves\n", "To understand the different phases displayed, we can look at, e.g., the receiver function at back-azimuth 150°. With a back-azimuthal spacing of 10°, the ray-index is 15. Let look into `Geometry`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(150.0, 0.06, 0, 0)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "geom[15]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yes, the first value of the tuple is the back-azimuth, which is 150°. The same index points into `Result`:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(, )\n" ] } ], "source": [ "print(result[15])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first element of the tuple are the synthetic seismograms, the second the receiver function:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3 Trace(s) in Stream:\n", "...SYR | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:14.987500Z | 80.0 Hz, 1200 samples\n", "...SYT | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:14.987500Z | 80.0 Hz, 1200 samples\n", "...SYZ | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:14.987500Z | 80.0 Hz, 1200 samples\n" ] } ], "source": [ "print(result[15][0])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2 Trace(s) in Stream:\n", "...RFR | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:14.987500Z | 80.0 Hz, 1200 samples\n", "...RFT | 1970-01-01T00:00:00.000000Z - 1970-01-01T00:00:14.987500Z | 80.0 Hz, 1200 samples\n" ] } ], "source": [ "print(result[15][1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now look at how the individual phases are called and when they arrive." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['2P1P0P' '2P1P0S' '2P1S0S' '2P1T0S']\n", "[0.01250004768371582 2.4625535011291504 3.0867090225219727\n", " 3.174315929412842]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print(result[15][0][0].stats.phase_descriptors)\n", "print(result[15][0][0].stats.phase_times)\n", "_ = result[15][0][0].plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The commands above tell us that the negative wiggle arriving at 2.5 seconds is a P-to-S conversion at the bottom of layer 0 (i.e. the top of the anisotropic layer), whereas the positive wiggle at 3s consists of two S-waves arriving shortly after one another: The smaller wiggle is the P-to-S1 conversion at the bottom of layer 1 (the anisotropic layer), and the larger one is the P-to-S2 conversion at the same interface. (Note that the slow S-wave is denoted *T*, to avoid ambiguity with the layer indices.) Both phases travel as an S-wave (here again named *T*) in the topmost layer 0, but at different speeds.\n", "\n", "On the transverse component, the P-to-S1 conversion has a negative amplitude, while the P-to-S2 conversion has a larger, positive one." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['2P1P0T' '2P1S0T' '2P1T0T']\n", "[2.4625535011291504 3.0867090225219727 3.174315929412842]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvsAAADtCAYAAAAhkbrhAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAA9hAAAPYQGoP6dpAAAjiElEQVR4nO3de5RdVZ3g8e8vCUkglUpIiBPCUyJREh7CakDFBBSVgVZkbIfGBOk0jqA4PobuWSEMTRsU8MHQTSs0Oj10Wkm72ozKS3BobUGUUVC6kYdGQIE8eHUCqVQSooE9f5xT8eRy762qVN177uP7WWuv3LPPPvv+zql9K7/atc+pSCkhSZIkqfOMKTsASZIkSY1hsi9JkiR1KJN9SZIkqUOZ7EuSJEkdymRfkiRJ6lAm+5IkSVKHMtmXJEmSOpTJviRJktShTPYlSZKkDmWyL0mSJHUok32pA0TEsoh4OCJejogzKvbtERFfiohnI+KZiPjzwr75EdFfKFvyPmbk+3ePiOsjYlNEPBkR7xskjqMj4v68nzsj4oDCvvMi4t8iYntEXDCEcxp2XxFxYeFctkXE7wrb1+ZtTo6IRyNic0TcGBF7Fo6fERHfzt9zVUScOEiMF0TEcxGxISI+FxExlPir9FP3OkfE4ohYExF9EfH3ETF+sOs3XBHxHyLilvx8Xqyy//URcXce479GxJGFfddWjKPfRcTNhf1DvhZ5+6rXNSLGRcQ3ImJtRKSImDmE8xp2XxHxUOFcXo6IrYXt+RExJiL+OiJeiOwz9d8q3rPmGKsSX90xV2+MVbQb0rWJiAPz87m2Tkx7RcTX8/d8MiIWVez/RF6/MSLuiIjXFvb1V5QUEX+U71sc2We2uH//WnFIGiUpJYvF0uYFOBN4O/Bj4IyKfZcCtwO9wH7AI8BJNfr5GHBXYftzwK35sW8CXgDm1Dh2ArAaOBuYCHwW+EFh/2nAO4FvAhcMcj4j7gu4AFheUfcq4HngZGAScD3wlcL+rwP/C9gjf48NwJ41+j8FeAI4CNgbeBg4eyjxV+mr5nUGDsvj+ANgCvB94JIGjKEZwIeAdwEvVuzbDfgNcA4wFvhj4HFgfI2+7gM+sIvXot51HQd8HHgDkICZg5zTiPsCfgmcUFF3Xn6OrwJeCzwFvHUoY6xK/zXHXL34q/Qz1PP5FvAj4No6Ma0A/iH/2s0DngHm5vv+ANiY148l+/5yV41+Dge2AJPz7cXAd0Z77Foslvql9AAsFsvoFeAOXpns/ww4ubC9FFhR4/ifAOcWtp8Cji1sfwW4uMaxJwG/KGxPyv+jP6Ci3XIGT/ZH3BfVk/1zgdsK27OBrXlS0wNsA/Yu7P8BcFaN/r8GLClsnw38y3DiH8p1Bi4H/raw763Arxs4hg7klcn+YcAzFXWrgLdXOf4Q4EVgyi5ei5rXtaLdUJL9EfdF9WT//wF/XNi+BLhusDFWpe+6Y26o8Q/1fPKvxQ3AJ6mf7K8HDilsfwm4NH/9R8CdhX1zgfU1+vks8LXC9mJM9i2WpheX8UjdISpez3tFg4jXAK8HVubbewIzgQcKze6vdmxubrFtSmkz8FheP1yj2Ve9fh8DtpPNnB4MbEwpPVVov+N8I+LNEfFCrb7Y+drUjT9fmnFL/nqw61ztfV4dEbsP9aQbpOo4AhYBt6SUNubbw/1a1ruuwzWafQ2133pjjIi4JiKuyXfXHXODxR8RP4+IhUMJOF/69XngzwdrO3BIxeuB9/1nYI+IOCIidgPOyusq3y+A95H9lqDouIhYH9myww8NMRZJIzCu7AAkNdztwCci4m5gKtnsWjWLyGbdNuTbPcBLKaUthTZ9eX01Pfn+onrt6xnNvir7fa5GvxNrvOdUgJTSDwde14ixGF/d+FNKn6nop951rvY+A/VbaY5VwIt5cva/gfcCryFbelJpIfBnhe3hfi3rXdfhGs2+htpvvTFGSum8Ov0MtJ06hPchpXT4MGI+H7g1pfRojWX/RbcDS/Kv92uA95AtWwLoJ1ty9rN8ew2woEofC8jGx/8t1N1J9luiJ4GjgW9FxDMppW8N4zwkDZMz+1Ln+zTZ+upfALeRzdyvrdJuITvPwvUDYyOimND15vWVNzHun9f3VvS5o309o9nXIOr1O9z3rGxfbDucvupe5xrvA4Nci9j55uvb6rUdTErpt8B/At4PPE22tvy7VIyjiHgTsCdZMjig5rWoEWO961rTaPY1BKP5ta/XdlTij4h9yJYAXTrEQz5Glqg/AVxHtpxo4Gv9QbKxMJvsB+S/Am6pcuPwIuDrKaXfDVSklH6TUno8pfRySuknwN/kfUlqIJN9qcOllDanlM5JKe2dUjqEbD3vT4ttIuJoshsAby4c9zxZYndYoekRwEP5/nkppZ68PEl28+BhhT4nkSUEDw8hxlHraxCV/R5E9hvOX5PduDyl4ikmO853sL4q2g45/sGuc433+U1Kqe6sfkrprsI1Pble26FIKd2XUjoupTSd7AfDOfx+dnfAIuD/pJS2FepqXosaMda7rvXiG7W+hmA4X/viGKs02JgbrfiPJr85PyKeJlvKc1ZEfKda45TScyml/5xSelVK6WiyH+AGvmccDtyYUnoipbQduAY4FNhr4Ph8ydB7eeUSnkov78K5SBqusm8asFgsIy9kT0uZSHZz3/vz12PyffuSrQkfS/bEnrXArIrj/5qKm1nz+s8DtwCTyZ7y8QLw2hoxDDx1ZXH++nJ2foLOuDyurwIX5a/HNqov6j+N5ySymcuvsvPTeFaS3Yy4O3Aq9Z/G84dkvzF5dX59H+SVT+OpGv9wrjNZsrceOIrsaTzfowFP48nfayLZ02VezF9PKOw7LD+XyXm8N1QcO45s+coJw/laDue6FvqbSPZD6wHAxEb2RfUbdD9ClvzOIPuhZx1w4lDGWJX+a465weKv8bl5xfnk9TML5Qqyp+1Mr9HPbLIEfzfgDLIZ/j3yfX9Kdu/APmQThv+V7AbzKBx/GtnTm6Ki3/8IzMhfH0W2BOj0Roxli8Xy+1J6ABaLZeSF7Kk0qaKckO97S55sbSFbdzu/4tix+X/W1Z6ssjvZ7Fx/3sfCQeI4Gvg52VryH1B44grZE0AqY1zcqL6okuzn9aeQ3SC6BbiJQjJPlrzdmu/7FfC2wr75QH9FX0uBfydL7j5XkfDUi/9Cdn5iS93rTJYorwU25V/rVzzZZZTGUeU1fbyw76/IfgjZSJbATq049g/z2McM52tZI4561/Xxyjgb2RfVk/0xZD8gvwA8C5w/jDF2LYUn4dQbc0OI/yFg0XCvDRVP46kc22S/uXkG2Ey2zv7QinP/XD4eN5I9wetNFf2vJH96T0X9/8yvVz/ZfSAfbcQ4tlgsO5dIKSFJkiSp87hmX5IkSepQJvuSJElShzLZlyRJkjqUyb4kSZLUoUz2JUmSpA5lsi9JkiR1KJN9SZIkqUOZ7EuSJEkdymRfkiRJ6lAm+5IkSVKHMtmXJEmSOpTJviRJktShTPYlSZKkDmWyL0mSJHUok31JkiSpQ5nsS5IkSR3KZF+SJEnqUCb7kiRJUocy2ZckSZI6lMm+JEmS1KFM9iVJkqQOZbIvSZIkdSiTfUmSJKlDmexLkiRJHcpkX5IkSepQJvuSJElShzLZlyRJkjqUyb4kSZLUoUz2JUmSpA5lsi9JkiR1KJN9SZIkqUOZ7EuSJEkdalzZAbS6iAhgFrCp7FgkSZKk3GRgXUop1Wtksj+4WcCasoOQJEmSKuwLrK3XwGR/cJsAVq9eTW9vb9mxSJIkqcv19fWx3377wRBWnpjsD1Fvb6/JviRJktqKyX4DrF27lgceeIBt27aVHQqTJk3iqKOOYtq0aWWHIkmSpCYz2R9FL774IkuXLuWuu+4qO5SdjBkzhtNPP53zzz+fMWN8AJMkSVK3MNkfRVdeeSX33nsvl1xyCccffzx77LEH2cN8ypFS4vnnn+emm27i6quvZv/99+f0008vLR5JkiQ1l9O8o2T79u3cfvvtnHnmmZxyyilMmjSp1EQfICKYNm0aixcvZsGCBdx2222lxtNtNmzYwFVXXVV2GJIkqYuZ7I+S9evX09/fz+GHH152KFUdccQRPP7442WH0VU+9rGP8YlPfIKnn3667FAkSVKXMtkfJS+99BIA48a15sqocePGsX379rLD6Cpbt24FsuVUkiRJZTDZbxFPPvkkp512GtOnT2fq1KkceeSR3Hrrraxbt47p06dz33337Wj70ksvceSRR3LppZfS09NDT08PEydOZOzYsTu2Tz755BLPRpIkSa3AZL9FnHXWWcydO5e1a9fy7LPPcs0119Db28usWbP41Kc+xTnnnLPjtwdXXXUVU6ZM4cILL6S/v5/+/n6WL1/O/Pnzd2y7Pl+SJEkm+y3i3nvv5eyzz2bixImMHz+eN77xjbz5zW8G4MMf/jATJkzgi1/8IqtXr+ayyy7jy1/+cuk3AEuSJKm1teYC8y507LHHcs4553Duuecyf/58Zs2atWNfRPDlL3+ZBQsWcOONN/Lxj3+cOXPmlBitJEmS2oEz+y1i5cqVHHXUUVx88cXsu+++HHfccaxatWrH/nnz5vGBD3yA1atXs2TJkhIjlSRJUrsw2W8R06dP54orrmDVqlWsXr2a3t5e/uRP/mSnNnPnzmX27NmMHz++pCg1HANP4fFpPJIkqSwm+y1on3324SMf+QgPPvhg2aFoFLz88stlhyBJkrqUyX6LWLp0Kb/85S95+eWX2bBhA8uXL+eYY44pOyyNwMAN1M7sS5KkspjsN9jJJ5/MZZddBkBPTw933XUXAHfddRc9PT072m3atIl3vvOd9Pb28rrXvY6IYPny5WWErFHmzL4kSSqLT+NpsOLz7vv7+3e8Hngm/oAvfvGLg/a1ePFiFi9eXHXfGWecwRlnnLHrgaphTPYlSVJZ2npmPyJmRMS3I2JLRKyKiBNrtFsWEasjoi8iHomIP212rOpeJvuSJKksbZ3sA1cD64C9gCXAyojYs0q764HXpZR6gVOASyNiXvPCVDdzzb4kSSpL2yb7EdEDvBu4OKW0JaV0A/Ag8K7KtimlR1JKmwtVY4ADavQ7ISJ6BwoweSjxTJo0CYANGzYM6zyaZcOGDTtiVHM5sy9JksrStsk+cDCwMaX0VKHufqDqjH1EXBARm4FfAU8A/1Kj36XAxkJZM5RgpkyZwpw5c7jllltaLrnbvHkz3/3ud326T0labTxIkqTu0c436PYAfRV1fcDUao1TSp+JiM8CxwBvA7bX6Pdy4MrC9mSGmPB/8IMfZMmSJZx11lnMnz+fSZMm7Xj8YhlSSmzYsIHvfe97bNy4kTPPPLO0WLrRwPIdk31JklSWdk72+4HeirrevL6qlGVfP4mI9wMfAL5Upc02YNvA9nCS9be85S184QtfYOXKlXzjG99g27Ztgx/UYJMmTeKYY45h4cKFzJkzp+xwupLJviRJKks7J/uPAFMiYmZK6em87gjg74Zw7BhgdiOCOvbYYzn22GMb0bXajH9US5Ikla1t1+ynlPqBm4BlEbF7RJwKHArcXNk2Iv5LREyNiDERcTywCLijqQGrazmzL0mSytK2yX7uPGA/YD1wBXB6Sun5iFgUEQ8V2p0CPEZ2w+01wH9PKd3a9GjVlUz2JUlSWdp5GQ8ppefIEvnK+hXAisL2e5oZl1Rksi9JksrS7jP7Ustzzb4kSSqLyb7UYM7sS5KkspjsSw1msi9Jkspisi81mMm+JEkqi8m+1GCu2ZckSWUx2ZcazJl9SZJUFpN9qcFM9iVJUllM9qUGGVi+Y7IvSZLKYrIvNZjJviRJKovJvtQgEQF4g64kSSqPyb7UYM7sS5KkspjsSw1msi9JksrS1sl+RMyIiG9HxJaIWBURJ9Zod2VE/DoiNkXETyNiQbNjVfcy2ZckSWVp62QfuBpYB+wFLAFWRsSeVdptBN4BTAE+C9wQEZObFqW6mmv2JUlSWdo22Y+IHuDdwMUppS0ppRuAB4F3VbZNKS1LKT2aUno5pbQS2ArMaWrA6lrO7EuSpLKMKzuAETgY2JhSeqpQdz8wr95BEXEgMA14tMb+CcCEQpW/AdCImOxLkqSytO3MPtAD9FXU9eX1VUXEbsA/AJ9PKW2s0Wwp2bKfgbJm5KGqG/lHtSRJUtnaOdnvB3or6nrz+leI7KHny4FngU/W6fdysrX9A2XfEcapLmeyL0mSytLOyf4jwJSImFmoOwJ4qEb7LwCzgDNTSjWzr5TStpRS30ABNo1axOoq/lEtSZJUtrZN9lNK/cBNwLKI2D0iTgUOBW6ubBsRy4DjgHenlLY1N1J1O2f2JUlSWdo22c+dB+wHrAeuAE5PKT0fEYsiojjDfzFwCLAuIvrzsqiEeNWFTPYlSVJZ2vlpPKSUngNOqVK/AlhR2I5mxiUVmexLkqSytPvMvtTyXLMvSZLKYrIvNZgz+5IkqSwm+1KDmexLkqSymOxLDeIf1ZIkSWUz2ZcazGRfkiSVxWRfajBv0JUkSWUx2ZcaZGBG35l9SZJUFpN9qUFM9iVJUtlM9qUGMdmXJEllM9mXGmRgrb5r9iVJUllM9qUGcWZfkiSVzWRfahCTfUmSVLa2TvYjYkZEfDsitkTEqog4sUa78yLi3yJie0Rc0Ow41Z1M9iVJUtnaOtkHrgbWAXsBS4CVEbFnlXbrgIuAm5oYm7qca/YlSVLZ2jbZj4ge4N3AxSmlLSmlG4AHgXdVtk0p3ZBSugXoa26U6mbO7EuSpLKNKzuAETgY2JhSeqpQdz8wbySdRsQEYEKhavJI+lP3MtmXJElla9uZfaCHV87U9+X1I7EU2Fgoa0bYn7qUyb4kSSpbOyf7/UBvRV1vXj8SlwNTCmXfEfanLmWyL0mSytbOyf4jwJSImFmoOwJ4aCSdppS2pZT6BgqwaST9qXt5g64kSSpb2yb7KaV+sqfrLIuI3SPiVOBQ4ObKthExLiImAmOBcRExMSLGNjdidRtn9iVJUtnaNtnPnQfsB6wHrgBOTyk9HxGLIqI4w38RsBU4E/hU/vr9zQ5W3cVkX5Ikla2dn8ZDSuk54JQq9SuAFYXtTwKfbFpgEib7kiSpfO0+sy+1LNfsS5KkspnsSw3izL4kSSqbyb7UICb7kiSpbCb7UoOY7EuSpLKZ7EsNYrIvSZLKZrIvNYg36EqSpLKZ7EsN4sy+JEkqm8m+1CAm+5IkqWwm+1KDmOxLkqSymexLDeKafUmSVDaTfalBnNmXJEllM9mXGsRkX5Iklc1kX2oQk31JklS2tk72I2JGRHw7IrZExKqIOLFGu90j4vqI2BQRT0bE+5odq7qPyb4kSSrbuLIDGKGrgXXAXsA7gJURMTul9HxFu2XANGAf4FDg1oj4WUrpV02NVl3FG3QlSVLZol0TkYjoAdYDB6aUnsrrfgD8XUrpKxVtnwJOSyn9JN/+CvBoSumSKv1OACYUqiYDa4455hjGjWv3n426z/Tp09mwYUNTEu6IYNq0aaxfvx6Ae+65h+3btzNjxgwOPvjghr+/JEnqDtu3b+eee+4BmJJS6qvXtp2z14OBjQOJfu5+YF6xUUTsCcwEHqhod0yNfpcCf/mKNzv4YMaPHz+igNVc3//+97n77ruZPHky733vexv+fitXrqS/v5+DDjqI448/nkMOOYRZs2axZs2ahr+3JEnqHr/97W8Hkv1BtXOy3wNU/iTTB0yt0u6llNKWinY9Nfq9HLiysD0ZWHPNNdfQ29u769Gq6RYuXMjjjz/OPvvsw3XXXdfw9/vhD3/II488woIFC5ryfpIkqTv19fWxYsWKIbVt52S/H6jMvnvz+sp2YyNij0LCX60dACmlbcC2ge2IGJ1o1XRjxozZ6d9G22233Xb6V5IkqWzt/DSeR4ApETGzUHcE8FCxUX6z7tPAYfXaqfOMHTt2p38bzWRfkiS1mrZN9lNK/cBNwLL80Zqnkj1p5+Yqza8H/iIiJkfEG4BTgX9qXrQqgzP7kiSp27Vtsp87D9iP7Kk8VwCnp5Sej4hFEVGcub8Y2Ag8BawEzksprWp6tGoqZ/YlSVK3a+c1+6SUngNOqVK/AlhR2N4KLGpiaGoBzU72Bx7N6iNaJUlSq2j3mX2pJpfxSJKkbmeyr47lMh5JktTtTPbVsUz2JUlStzPZV8dyGY8kSep2JvvqWN6gK0mSup3JvjqWy3gkSVK3M9lXx3IZjyRJ6nYm++pYzZ7ZjwjAZF+SJLUOk311rGYn+yklwGRfkiS1DpN9daxmL+MZ4A26kiSpVZjsq2O5jEeSJHU7k311rGYn+wNM9iVJUqto22Q/Io6OiPsjYktE3BkRB9Rp+6WIeCwiUkS8oZlxqjxlLeMx2ZckSa2iLZP9iJgAfBO4CpgG/Bj4ap1D/hU4G1jT+OjUKrxBV5Ikdbt2vZPwBKA/pXQdQERcAjwXEQeklJ6obJxSujZv99JgHec/SEwoVE0elYjVdGUt4/EGXUmS1CracmYfmAs8MLCRUtoMPJbXj9RSYGOh+NuANtXsZTzeoCtJklpNuyb7PUBfRV1fXj9SlwNTCmXfUehTJfAGXUmS1O1acr1BRNwOLKix+9NAP9BbUd+b149ISmkbsK0Qy0i7VElM9iVJUrdryWQ/pfSOevsj4iTgnML2JGA28HCDQ1MbafYynoEbdF2zL0mSWkW7LuO5A+iJiMX5DbUXAT+tdnMuQESMj4iJQADjI2JiOGXf8cqa2W/2oz4lSZJqacusJF9q8x7gfOAF4Djg/QP7I+LaiLi2cMjtwFZgf+DO/HXN5/KrMzQ7yR/4+dGfIyVJUqto2/UGKaV7gcNr7PtQxfYJzYhJrcUZdkmS1O3MhtSxBmb2nWmXJEndymRfHWsg2R+4cbbRPvrRj7LPPvtw4IEHNuX9JEmSBtO2y3ikwTR7Gc9RRx3FmjX+DTZJktQ6nNlXx2r2DbqSJEmtxmRfHcsbdCVJUrczG1LHcmZfkiR1O5N9dSyTfUmS1O1M9tWxXMYjSZK6ndmQOpYz+5IkqduZ7KtjmexLkqRuZ7KvjuUyHkmS1O3MhtSxnNmXJEndrm2T/Yg4OiLuj4gtEXFnRBxQo92rIuLrEfFMRGyIiJsjYv9mx6vmM9mXJEndri2T/YiYAHwTuAqYBvwY+GqN5pOAHwLzgJnAo8DfNyFMlcxlPJIkqduNKzuAXXQC0J9Sug4gIi4BnouIA1JKTxQbppR+A/zNwHZEXAPcV6vj/AeJCYWqyaMYt5rImX1JktTt2nXqcy7wwMBGSmkz8FheP5g3AQ/V2b8U2Fgoa3Y9TJXJZF+SJHW7dk32e4C+irq+vL6miNgP+AxwUZ1mlwNTCmXfXQ9TZYqIskOQJEkqVUsu44mI24EFNXZ/GugHeivqe/P6Wn1OA74DXJZS+m6tdimlbcC2wnFDjFqSJElqLS2Z7KeU3lFvf0ScBJxT2J4EzAYertG+B7gVuDGl9IVRDFWSJElqWe26jOcOoCciFuc31F4E/LTy5lyAiBhP9uSeh1JKFzY3TEmSJKk8bZns50tt3gOcD7wAHAe8f2B/RFwbEdfmm28E3g6cERH9heKz9iVJktTRWnIZz1CklO4FDq+x70OF13cCLryXJElS12nLmX1JkiRJgzPZlyRJkjqUyb4kSZLUoUz21bH23ntvAObPn19yJJIkSeVo2xt0pcHMmjWLTZs20dNT9w8rS5IkdSxn9tXRTPQlSVI3M9mXJEmSOpTJviRJktShTPYlSZKkDuUNukPU19dXdgiSJEnSsPLSSCk1MJT2FxEHAr8pOw5JkiSpwr4ppbX1GjizP7gN+b/7ApvKDETqcpOBNfhZlMrmZ1FqDZOBdYM1Mtkfuk0pJdfySCWJiIGXfhalEvlZlFrGkD5/3qArSZIkdSiTfUmSJKlDmewPbhuwLP9XUnn8LEqtwc+i1EZ8Go8kSZLUoZzZlyRJkjqUyb4kSZLUoUz2JUmSpA5lsi9JkiR1KJN9SZIkqUMNK9mPiGUR8XBEvBwRZxTq94iIL0XEsxHxTET8eWHf/IjoL5Qt+fEz8v27R8T1EbEpIp6MiPcNEsPREXF/3s+dEXFAYd95EfFvEbE9Ii4YwvkMu6+IuLBwLtsi4neF7WvzNidHxKMRsTkiboyIPQvHz4iIb+fvuSoiThwkxgsi4rmI2BARn4vCny6sF3+Vfupe54hYHBFrIqIvIv4+IsYPdv2kSvXGd72xXKWfep/N4X7PqDm2I+Lx/D12+gxL7a7VPosRMTci/jkiNkbEL6vsnx0RP8rf576IOGIk5y/p94Y7s/8I8HHgnor6/wG8GngN8AfAuRFxEkBK6a6UUs9AAS4AfpRSei4/dhkwDdgHOAP424iYU+3NI2IC8E3gqvyYHwNfLTRZB1wE3DTYiexqXymlywrn8pfAisL5fSgiXgX8I/BR4FXApvw9Blyd970XsARYWfxhoCLGU4APA8cC84B3An86xPgr1bzOEXEYcCVwGrAfcGB+7tJwVR3f9cZypSGM7eF8zxjK2H5r8TM8zPOVWlVLfRaB35H93/hnNfZ/Dbg97+864FsRMW5IZyqpvpTSsAtwB3BGYftnwMmF7aVkSXC1Y38CnFvYfgo4trD9FeDiGseeBPyisD0J2AIcUNFuOXDBIOcw4r7IfnBZXlF3LnBbYXs2sBWYAPSQ/RGSvQv7fwCcVaP/rwFLCttnA/8ynPiHcp2By4G/Lex7K/DrXRkblu4t9cZ3vbFcpZ+6Y3uY3zPqjm3gceANZV87i2U0Syt+FgttTgB+WVH3WmAjML5Q9wSwoOxrabF0QhnNNftR8XreKxpEvAZ4PbAy394TmAk8UGh2f7Vjc3OLbVNKm4HH8vrhGs2+6vX7GLAdOAg4GNiYUnqq0H7H+UbEmyPihVp9sfO1qRt//mvaW/LXg13nau/z6ojYfagnLVF/fNcby0TEzyNiYb5Zc2wPNpYjYv+IeCEi9q/WF9XH9g2RLT/8Vr2lcFIbacXPYj1zgVUppd8W6n5O7VxA0jCM1q/Ibgc+ERF3A1OBxTXaLQK+k1LakG/3AC+llLYU2vTl9dX05PuL6rWvZzT7quz3uYq6gX4n1njPqQAppR8OvK4RYzG+uvGnlD5T0U+961ztfQbqtyINTa0xObXKvp0+aymlw4fQTw+DjOWU0pMM/hkaqN8KLATuA8YDnyJL/I9KKfmnxdXOWvGzuCvxjvT/Y0mM3tN4Pk326/BfALeRzdyvrdJuIbCisN0PjI2IPQp1vXk9EfFQ4ca5/fP63oo+d7SvZzT7GkS9fof7npXti22H01fd61zjfWDk10LdZThjfzjjvrKfemN5sL52GtsppbtTSi+mlPqA88lmRF9doy+pXbTiZ3FX45U0QqOS7KeUNqeUzkkp7Z1SOgRIwE+LbSLiaGBv4ObCcc8DTwOHFZoeATyU75+Xfn/j3JPAw8W2ETGJbE38w0OIcdT6GkRlvweR/Qbl12Q3OE+JiJmF9jvOd7C+KtoOOf7BrnON9/lNSslZfQ1HvfFdbyxXqjm2hzCW6/ZF/bGd8iK1u1b8LNbzMPDaiNitUHf4LvYlqcJwH725W0RMzI/bLSImRsSYiNg3ImZGxNiIeDvZnf1/VXH4IuCbVf6TvR74i4iYHBFvAE4F/qlGCHcAPfmj9CaQPVXjpymlJ/L4xuXxjQXG5fGNbUJfRd8C3hARJ+UzHsuAlSmlbSmlfrKn+yzLH1l2KnAohR+AqlybD0fEq/Nv2ufndYPGX6OvWtf5H4HTI+KoiJhC9nSl62v0I1U1yPiuN5Yr3UH9sT2c7xk1x3a+pviN+fe1ScDnyW4KfHwEl0EqXSt+FiMzkWzJXOT/p47P410FrAIuiIgJEXEe8BJw9wgvhSQY3tN4yJ5MkyrKCcBbgNVkd+nfB8yvOG4s2V37b6/S5+5kS3v68z4WDhLD0WQ37mwle7rAAYV9n6wS3+JG9UWVp/Hk9aeQ3cS0hewb7p6FfTOAW/N9vwLeVtg3H+iv6Gsp8O/A88DngBhi/Bey81OB6l5nsvss1pI9KnQ5MGE4Y8NiSWnQ8V1vLD8ELCps1xvbNccyMLBEb/9CXdWxTXbz3wPAZrL7bG4EZpd9DS2W0Sit9lkke+xt5f+pdxTavwb4Uf4+/wq8vuxraLF0SomU/K21JEmS1IlG89GbkiRJklqIyb4kSZLUoUz2JUmSpA5lsi9JkiR1KJN9SZIkqUOZ7EuSJEkdymRfkiRJ6lAm+5IkSVKHMtmXJEmSOpTJviRJktShTPYlSZKkDvX/AY690IcuRf6DAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print(result[15][0][1].stats.phase_descriptors)\n", "print(result[15][0][1].stats.phase_times)\n", "\n", "_ = result[15][0][1].plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Validation against Telewavesim Data\n", "As in the previous example, we would now like to compare these results with independently obtained results from *Telewavesim*. We'll need *NumPy* to conveniently load our Telewavesim data from file, *obspy* to store them in a *Stream* object, and *Matplotlib* to make the comparison plot." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "import obspy\n", "import matplotlib.pyplot as mp" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Load telewavesim data\n", "time, twr, twt, twz = np.loadtxt(\"../data/telewavesim_aniso_baz150-slow006.dat\", unpack=True)\n", "\n", "# Get time interval `dt` from data\n", "dt = time[1] - time[0]\n", "\n", "# Store into Stream, switch Z component polarity and set header\n", "twsd = obspy.Stream()\n", "for tr, channel in zip([twr, twt, twz], [\"R\", \"T\", \"Z\"]):\n", " header = {\"delta\": dt, \"station\": \"tws\", \"channel\": channel}\n", " trace = obspy.Trace(tr, header=header)\n", " twsd.append(trace)\n", " \n", "# Make simple plot\n", "_ = twsd.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll again filter both seismograms, as Telewavesim data does not provide a good infinite frequency approximation." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# Set frequency corners in Hz\n", "fmin = 1./10. \n", "fmax = 10\n", "prsd = result.streams[15]\n", "prsd.trim(endtime = prsd[0].stats.starttime+5)\n", "\n", "# Demean and filter all data\n", "for dat in [twsd, prsd]:\n", " dat.detrend(\"demean\")\n", " dat.filter(\"bandpass\", freqmin=fmin, freqmax=fmax, zerophase=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also need to align the two different datasets to the direct *P*-wave and scale them to its amplitude on the vertical component." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Index of the maximum amplitude on the vertical component of the data\n", "imax = np.argmax(abs(prsd[2].data))\n", "\n", "# Cycle through both synthetic data and process them equally\n", "jmax = np.argmax(abs(twsd[2].data)) # maximum vertical amplitude\n", "dt = prsd[2].times()[imax] - twsd[2].times()[jmax] # relative time shift of maximum\n", "norm = prsd[2].data[imax] / twsd[2].data[jmax] # relative amplitude of vertical maximum\n", "for tr in twsd:\n", " tr.stats.starttime += dt # align peaks\n", " tr.data *= norm # normalize\n", " tr.trim(prsd[0].stats.starttime, prsd[0].stats.endtime)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a good comparison, we use the plot function from the previous example:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def plot(data, model):\n", " \n", " lws = [4, 1] # linewidths ...\n", " cols = [\"darkgray\", \"crimson\"] # colors for data and model\n", "\n", " # Subplot with 3 rows\n", " fig, axs = mp.subplots(\n", " nrows=3, ncols=1, figsize=(8, 6), tight_layout=True, sharex=True, sharey=True\n", " )\n", " \n", " # Cycle through components\n", " for ax, dat, mod in zip(axs, data, model):\n", " trs = [dat, mod]\n", " \n", " # Cycle through data and model\n", " for tr, lw, col in zip(trs, lws, cols):\n", " ax.plot(\n", " tr.times(reftime=data[0].stats.starttime),\n", " tr.data,\n", " label=tr.stats.station + \".\" + tr.stats.channel,\n", " lw=lw,\n", " color=col,\n", " )\n", " # Write phase info\n", " if tr.stats.station == \"prs\":\n", " dy = 0.05\n", " # Cycle through phase descriptors\n", " for n, (pht, phn, pha) in enumerate(\n", " zip(\n", " tr.stats.phase_times,\n", " tr.stats.phase_names,\n", " tr.stats.phase_amplitudes,\n", " )\n", " ):\n", " ha = \"center\"\n", " if phn == \"PST\":\n", " ha = \"right\"\n", " elif phn == \"PTS\":\n", " ha = \"left\"\n", "\n", " sign = -np.sign(pha) # absolute amplitudes are here meaningless due to applied filter\n", " ax.text(pht, sign*dy, phn, va=\"center\", ha=ha)\n", "\n", " ax.legend(frameon=False)\n", " ax.set_axis_off()\n", " \n", " # Only plot lowermost time axes\n", " ax.set_axis_on()\n", " ax.spines[[\"top\", \"left\", \"right\", \"bottom\"]].set_visible(False)\n", " ax.set_yticks([])\n", " ax.set_xlabel(\"Time(s)\")\n", "\n", " return fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And run it" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_ = plot(twsd, prsd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the Waveforms of *Pyraysum* (red) and *Teleweavesim* (gray) match pretty well. The *Telewavsim* data has some additional energy at about 0.9 seconds, which is a reflection from the top of the anisotropic layer. This reflections has explicitly not been computed (`RC.mults = 0`), but this could be done using `RC.set_phaselist()`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "In this example we have explored the capabilities of *Pyraysum* to compute synthetic seismograms and receiver functions for dipping or anisotropic layers. We have compared the outcome of our simulations with published results and, for the anisotropic example, also with synthetic data from another numerical method. Both comparisons showed that *Pyraysum* delivers comparable results." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "* Audet, P., Thomson, C.J., Bostock, M.G., and Eulenfeld, T. (2019). Telewavesim: Python software for teleseismic body wave modeling. Journal of Open Source Software, 4(44), 1818, https://doi.org/10.21105/joss.01818\n", "\n", "* Porter, R., Zandt, G., & McQuarrie, N. (2011). Pervasive lower-crustal seismic anisotropy in Southern California: Evidence for underplated schists and active tectonics. Lithosphere, 3(3), 201-220. https://doi.org/10.1130/L126.1\n", "\n", "* Thomson, C.J. (1997). Modelling surface waves in anisotropic structures: I. Theory. Physics of the Earth and Planetary interiors, 103, 195-206. https://doi.org/10.1016/S0031-9201(97)00033-2" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 4 }