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September 8, 2021 17:18
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Forward model seismic data by convolution of a reflectivity series with a point-spread function
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "f6432e19", | |
"metadata": {}, | |
"source": [ | |
"# Image-based modeling with a point-spread function\n", | |
"\n", | |
"We're going to try to fake seismic data directly from an earth model by convolving it with a special filter. Naively, we might do this with repeated 1D convolution with a 1D wavelet — one convolution for each 'trace' in the model. This usually results in artifacts, which you must then deal with by applying lateral smoothing or other tricks.\n", | |
"\n", | |
"But if we can define a 2D kernel that represents seismic acquisition and processing (especially migration, or 'imaging'), then we can create a much more realistic synthetic seismogram, and do it with a single 2D convolution.\n", | |
"\n", | |
"### Migration\n", | |
"\n", | |
"#### Adapted from the awesome [Pylops tutorial](https://github.com/PyLops/pylops/blob/master/tutorials/lsm.py)\n", | |
"\n", | |
"The demigration/migration process can be expressed as a linear operator of such a kind:\n", | |
"\n", | |
"$$\n", | |
" d(\\mathbf{x_r}, \\mathbf{x_s}, t)\\ = \\ \n", | |
" w(t) * \\int_V G(\\mathbf{x}, \\mathbf{x_s}, t)\\ \n", | |
" G(\\mathbf{x_r}, \\mathbf{x}, t)\\ m(\\mathbf{x})\\ d\\mathbf{x}\n", | |
"$$\n", | |
"\n", | |
"where $m(\\mathbf{x})$ is the reflectivity at every location in the subsurface, $G(\\mathbf{x}, \\mathbf{x_s}, t)$ and $G(\\mathbf{x_r}, \\mathbf{x}, t)$ are the Green's functions from source-to-subsurface-to-receiver and finally $w(t)$ is the wavelet. While the Green's functions can be computed in many different ways, solving this system of equations for the reflectivity model is what we generally refer to as **least-squares migration** (LSM).\n", | |
"\n", | |
"In this notebook, we will use the `pylops.waveeqprocessing.LSM` operator to perform LSM." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "fc791c4b", | |
"metadata": {}, | |
"source": [ | |
"## Create model\n", | |
"\n", | |
"To start we create a simple model with a single point scatterer." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "e4f7893e", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"\n", | |
"np.random.seed(0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "607d26d5", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Velocity model.\n", | |
"nx, nz = 61, 61\n", | |
"dx, dz = 4, 4\n", | |
"x, z = np.arange(nx) * dx, np.arange(nz) * dz\n", | |
"v0 = 2000 # Initial velocity.\n", | |
"kv = 0. # Gradient.\n", | |
"v = np.outer(np.ones(nx), v0 + kv*z)\n", | |
"\n", | |
"# Reflectivity model.\n", | |
"refl = np.zeros((nx, nz))\n", | |
"refl[30, 30] = 1 # <-- A single scatterer.\n", | |
"\n", | |
"# Receivers.\n", | |
"nr = 21\n", | |
"rx = np.linspace(10*dx, (nx-10)*dx, nr)\n", | |
"rz = 0 * np.ones(nr) # Depth of rcvrs.\n", | |
"recs = np.vstack((rx, rz))\n", | |
"dr = recs[0, 1] - recs[0, 0]\n", | |
"\n", | |
"# Sources.\n", | |
"ns = 10\n", | |
"sx = np.linspace(dx*10, (nx-10)*dx, ns)\n", | |
"sz = 0 * np.ones(ns) # Depth of sources.\n", | |
"sources = np.vstack((sx, sz))\n", | |
"ds = sources[0, 1] - sources[0, 0]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "f87a445a", | |
"metadata": { | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(240.0, -20.0)" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 1080x288 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"fig, ax = plt.subplots(figsize=(15, 4))\n", | |
"\n", | |
"extent = [x[0], x[-1], z[-1], z[0]]\n", | |
"im = ax.imshow(refl.T, cmap='magma_r', extent=extent, aspect='auto')\n", | |
"plt.colorbar(im, ax=ax)\n", | |
"ax.scatter(recs[0], recs[1], marker='v')\n", | |
"ax.scatter(sources[0], sources[1], marker='o')\n", | |
"ax.set_xlabel('x [m]'),plt.ylabel('y [m]')\n", | |
"ax.set_title('Reflectivity')\n", | |
"ax.set_ylim(z[-1], z[0]-20)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "f93cf4c2", | |
"metadata": {}, | |
"source": [ | |
"## Perform imaging\n", | |
"\n", | |
"We can now create our LSM object and do demigration and migration.\n", | |
"\n", | |
"From Matteo Ravasi (paraphrasing a bit):\n", | |
"\n", | |
"> PSF is nothing more than a fancy name for impulse response of a system, where the system here is the earth. Illumination varies based on acquisition geometry + velocity model, so each point in the subsurface will have its own PSF. Theoretically you would place a single point scatterer in the reflectivity, do modelling (demigration) and adjoint modelling (migration) and get a blurry image of the scatterer, that is the PSF of that point in the subsurface. Since it’s likely to be compact you can restrict its size to say 30x30 instead of the entire model and call this the filter you will use later to do 2D convolutional modelling with any more complex reflectivity (and ideally also inversion). " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "f5746fe8", | |
"metadata": {}, | |
"source": [ | |
"Make a wavelet:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "32000825", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import pylops\n", | |
"\n", | |
"nt = 651\n", | |
"dt = 0.004\n", | |
"t = np.arange(nt) * dt\n", | |
"\n", | |
"wav, wavt, wavc = pylops.utils.wavelets.ricker(t[:41], f0=20)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "1548b6d3", | |
"metadata": {}, | |
"source": [ | |
"Compute the LSM operator, given the model parameters and the wavelet, then apply it to the reflectivity:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "68f97c78", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"lsm = pylops.waveeqprocessing.LSM(z, x, t, sources, recs, v0, wav, wavc, mode='analytic')\n", | |
"\n", | |
"# Modeling (demigration) to compute the unmigrated data.\n", | |
"d = lsm.Demop * refl.ravel()\n", | |
"d = d.reshape(ns, nr, nt)\n", | |
"\n", | |
"# Adjoint modeling (migration) to compute the migrated data.\n", | |
"madj = lsm.Demop.H * d.ravel()\n", | |
"madj = madj.reshape(nx, nz) # <-- This is the PSF" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "69bdb557", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
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"<Figure size 360x360 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots(figsize=(5, 5))\n", | |
"ax.imshow(madj.T)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "3786490e", | |
"metadata": {}, | |
"source": [ | |
"We only need the centre of this thing, let's say a 35 x 35 kernel, so we'll crop it. But instead of a hard crop, which will have edges, we can multiply the crop by a 31 x 31 two-dimensional Blackman window." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "54f069cd", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x162d784c0>" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = np.clip(np.blackman(35), 0, 1)\n", | |
"window2d = np.sqrt(np.outer(window, window))\n", | |
"\n", | |
"plt.imshow(window2d)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "7375a96e", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x162dd8e50>" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"psf = window2d * madj.T[13:-13, 13:-13]\n", | |
"\n", | |
"plt.imshow(psf)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "14c75dea", | |
"metadata": {}, | |
"source": [ | |
"## Application to a wedge model" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "dad9325d", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x162ed5490>" | |
] | |
}, | |
"execution_count": 9, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import bruges\n", | |
"\n", | |
"strat = [6477000, 7420000, 5880000] # The layers.\n", | |
"wedge, *_ = bruges.models.wedge(depth=80, strat=strat)\n", | |
"plt.imshow(wedge)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "474e3de0", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def make_rc(imp):\n", | |
" \"\"\"\n", | |
" Compute reflection coefficients.\n", | |
" \"\"\"\n", | |
" imp = np.pad(imp, pad_width=[(0, 1), (0, 0)], mode='edge')\n", | |
" upper = imp[ :-1, :]\n", | |
" lower = imp[1: , :]\n", | |
" \n", | |
" return (lower - upper) / (lower + upper)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "31b007e9", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rc = make_rc(wedge)\n", | |
"\n", | |
"syn_1d = np.apply_along_axis(np.convolve,\n", | |
" axis=0,\n", | |
" arr=rc,\n", | |
" v=wav, mode='same')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "42cc044b", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x648 with 3 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"from scipy.signal import convolve2d\n", | |
"\n", | |
"syn_psf = convolve2d(rc, psf, mode='same')\n", | |
"\n", | |
"fig, axs = plt.subplot_mosaic(\"AA;AA;AA;BC;BC\", figsize=(12, 9))\n", | |
"axs['A'].imshow(wedge, aspect='auto', interpolation='none')\n", | |
"axs['A'].axis('off')\n", | |
"axs['B'].imshow(syn_1d, aspect='auto', cmap='gray_r', vmin=-0.12, vmax=0.12)\n", | |
"axs['B'].set_title('1D convolution with wavelet')\n", | |
"axs['C'].imshow(syn_psf, aspect='auto', cmap='gray_r', vmin=-1000, vmax=1000)\n", | |
"axs['C'].set_title('2D convolution with PSF')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "2c46c4e3", | |
"metadata": {}, | |
"source": [ | |
"## Application to a realistic model\n", | |
"\n", | |
"We'll use part of one of my favourite figures, Figure 1A from [Hubbard et al (2014)](https://doi.org/10.1130/B30996.1). I once turned this into a PNG by editing the PDF in Inkscape (it is vector art in the PDF!). Happily, the paper is openly licensed under CC BY (in spite of what it says in the footer of the PDF)." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"id": "0f3fa61b", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=800x412 at 0x16276F070>" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"import urllib\n", | |
"from PIL import Image\n", | |
"\n", | |
"url = 'https://geocomp.s3.amazonaws.com/data/Hubbard_etal_2014.png'\n", | |
"\n", | |
"img = Image.open(urllib.request.urlopen(url))\n", | |
"img" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "fc934701", | |
"metadata": {}, | |
"source": [ | |
"There's a bit of a catch: these are just colours — there's no geological data here, other than the shapes.\n", | |
"\n", | |
"So let's turn this image into an array, then cluster the colours to make sure we only have a few (because of antialiasing etc, there will be thousands of colours in this image). Then we can reduce the number of colours to a few, which we can then assign impedances to." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"id": "d4726292", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import numpy as np\n", | |
"from sklearn.cluster import DBSCAN\n", | |
"\n", | |
"# Prepare the data.\n", | |
"im = np.array(img)[..., :3]\n", | |
"X = np.reshape(im, (-1, 3))[::50]\n", | |
"\n", | |
"# Do the clustering.\n", | |
"clu = DBSCAN(eps=0.1, min_samples=25, n_jobs=6).fit(X)\n", | |
"\n", | |
"# Collect the colours (DBSCAN doesn't have centroids).\n", | |
"colours = []\n", | |
"for label in np.unique(clu.labels_):\n", | |
" if label == -1:\n", | |
" continue # Noisy values.\n", | |
" sub = X[clu.labels_==label]\n", | |
" colours.append(np.mean(sub, axis=0))\n", | |
" \n", | |
"# Viz.\n", | |
"for colour in colours:\n", | |
" plt.imshow([[c/255 for c in colours]])\n", | |
"plt.yticks([]);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "929e3fea", | |
"metadata": {}, | |
"source": [ | |
"Now discretize by looking up the closest of these colours to each pixel in the image. This will give us a new array of 0's, 1's, 2's, etc, which are the indices of those colours." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"id": "cc33c5d2", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x1638e55e0>" | |
] | |
}, | |
"execution_count": 15, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"from scipy.spatial import cKDTree\n", | |
"\n", | |
"kdtree = cKDTree(colours)\n", | |
"_, ix = kdtree.query(im)\n", | |
"\n", | |
"plt.imshow(ix)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "fb0cb9f0", | |
"metadata": {}, | |
"source": [ | |
"Now we can make an array of impedances and use the index array to look up the impedance for each pixel:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"id": "987f7b1d", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"rocks = np.array([\n", | |
" 6477000,\n", | |
" 7420000,\n", | |
" 5880000,\n", | |
" 6800000,\n", | |
" 6100000,\n", | |
" 6400000,\n", | |
"])\n", | |
"\n", | |
"imp = rocks[ix]\n", | |
"\n", | |
"plt.imshow(imp)\n", | |
"plt.colorbar(shrink=0.6)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "4b045b67", | |
"metadata": {}, | |
"source": [ | |
"Now we can get on with computing the reflection coefficients:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"id": "1196bc52", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rc = make_rc(imp[::5]) # Shrink it a bit." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "dbea08e3", | |
"metadata": {}, | |
"source": [ | |
"And finally the synthetic, first with 1D convolution:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"id": "e7e51c25", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"syn_1d = np.apply_along_axis(np.convolve,\n", | |
" axis=0,\n", | |
" arr=rc,\n", | |
" v=wav, mode='same')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "136eb073", | |
"metadata": {}, | |
"source": [ | |
"And now with 2D convolution with the PSF we made earlier:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"id": "2bf208af", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x648 with 3 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"syn_psf = convolve2d(rc, psf, mode='same')\n", | |
"\n", | |
"ma1 = np.percentile(np.abs(syn_1d), 99.9)\n", | |
"ma2 = np.percentile(np.abs(syn_psf), 99.9)\n", | |
"\n", | |
"fig, axs = plt.subplot_mosaic(\"AA;AA;AA;BC;BC\", figsize=(12, 9))\n", | |
"axs['A'].imshow(img, aspect='auto')\n", | |
"axs['A'].axis('off')\n", | |
"axs['B'].imshow(syn_1d, aspect='auto', cmap='gray_r', vmin=-ma1, vmax=ma1)\n", | |
"axs['B'].set_title('1D convolution with wavelet')\n", | |
"axs['C'].imshow(syn_psf, aspect='auto', cmap='gray_r', vmin=-ma2, vmax=ma2)\n", | |
"axs['C'].set_title('2D convolution with PSF')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "9c84ef00", | |
"metadata": {}, | |
"source": [ | |
"---\n", | |
"\n", | |
"Many thanks to Matteo Ravasi for [`pylops`](https://pypi.org/project/pylops/), the awesome tutorials, and the tips. Thanks also to others on [Software Underground](https://swu.ng/) for the chat.\n", | |
"\n", | |
"© 2021 Agile Scientific, licensed CC BY, please share this work." | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "geoph", | |
"language": "python", | |
"name": "geoph" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.9.5" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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