diff --git a/CHANGES.md b/CHANGES.md index 7cf8a44..b96cd62 100644 --- a/CHANGES.md +++ b/CHANGES.md @@ -1,5 +1,11 @@ # Changelog +## 0.5.3 — in progress, coming soon + +- Fixed [issue #92](https://github.com/agile-geoscience/bruges/issues/92): the Ormsby, Ormsby FFT and Klauder wavelets now behave as expected when 2D arrays (lists of frequency parameters, essentially) are passed. A filter bank (array of wavelets) is returned. +- Fixed [issue #93](https://github.com/agile-geoscience/bruges/issues/93): the Sinc, Cosine and Gabor wavelets now behave as expected when `sym` is passed. +- `reflection.convolve()` now works properly when the axis is specified, and a verbose option was added to show the input and output array shapes (helps with troubleshooting). + ## 0.5.2 — 18 February 2022 - **Breaking change:** Mode is now `'same'` by default on reflectivity functions. If you were assuming `mode='valid'` you should change your code. diff --git a/bruges/filters/__init__.py b/bruges/filters/__init__.py index 1fe88bc..1da2060 100644 --- a/bruges/filters/__init__.py +++ b/bruges/filters/__init__.py @@ -1,5 +1,4 @@ from .convolve import convolve -from .convolve import apply_along_axis from .wavelets import sinc from .wavelets import cosine diff --git a/bruges/filters/convolve.py b/bruges/filters/convolve.py index 835017b..eacb3f1 100644 --- a/bruges/filters/convolve.py +++ b/bruges/filters/convolve.py @@ -8,36 +8,43 @@ from bruges.util import apply_along_axis -def convolve(reflectivity, wavelet, axis=-1): +def convolve(arr, wavelet, axis=-1, verbose=False): """ - Convolve n-dimensional reflectivity with a 1D wavelet or 2D wavelet bank. + Convolve n-dimensional arr with a 1D wavelet or 2D wavelet bank. Args: - reflectivity (ndarray): The reflectivity trace, or 2D section, or volume. + arr (ndarray): The trace, or 2D section, or volume. wavelet (ndarray): The wavelet, must be 1D function or a 2D wavelet 'bank'. If a wavelet bank, time should be on the last axis. - axis (int): The time axis of the reflectivity data. In other words, - the axis corresponding to a single 'trace'. If you index into this - axis, you will get a single 'trace'. + axis (int): The time axis of the arr data. In other words, the axis + corresponding to a single 'trace'. If you index into this axis, + you will get a single 'trace'. + verbose (bool): If True, print out the shapes of the inputs and output. Returns: - ndarray: Discrete, linear convolution of `reflectivity` and `wavelet`. + ndarray: Discrete, linear convolution of `arr` and `wavelet`. """ - if wavelet.shape[-1] > reflectivity.shape[axis]: - raise TypeError("Wavelet must shorter in time than the reflectivity.") + if wavelet.shape[-1] > arr.shape[axis]: + raise TypeError("Wavelet must shorter in time than the arr.") - reflectivity_ = np.moveaxis(np.asanyarray(reflectivity), axis, 0) + arr_ = np.moveaxis(np.asanyarray(arr), axis, -1) # Compute the target shape of the final synthetic. - outshape = wavelet.shape[:-1] + reflectivity_.shape + outshape = wavelet.shape[:-1] + arr_.shape - # Force wavelet and reflectivity to both be 2D. + # Force wavelet and arr to both be 2D. bank = np.atleast_2d(wavelet) - reflectivity_2d = reflectivity_.reshape((-1, reflectivity_.shape[-1])) + arr_2d = arr_.reshape((-1, arr_.shape[-1])) # Compute synthetic. - syn = np.array([apply_along_axis(np.convolve, reflectivity_2d, w, mode='same') for w in bank]) + syn = np.array([apply_along_axis(np.convolve, arr_2d, w, mode='same') for w in bank]) - pos = wavelet.ndim - 1 + pos = axis + wavelet.ndim - 1 - return np.moveaxis(syn.reshape(outshape), pos, axis) + out = np.moveaxis(syn.reshape(outshape), -1, pos) + + # Show the shapes of the data we're handling. + if verbose: + print(arr.shape, ' * ', wavelet.shape, ' -> ', out.shape) + + return out diff --git a/bruges/filters/filters.py b/bruges/filters/filters.py index 33c615d..24ec653 100644 --- a/bruges/filters/filters.py +++ b/bruges/filters/filters.py @@ -9,7 +9,7 @@ import scipy.signal from bruges.bruges import BrugesError -from bruges.filters import apply_along_axis +from bruges.util import apply_along_axis from bruges.util import nearest from bruges.util import rms as rms_ diff --git a/bruges/filters/wavelets.py b/bruges/filters/wavelets.py index 4e92db8..d4c5ea7 100644 --- a/bruges/filters/wavelets.py +++ b/bruges/filters/wavelets.py @@ -86,13 +86,14 @@ def _generic(func, duration, dt, f, t=None, return_t=True, taper='blackman', sym if (duration is not None) or (dt is not None): m = "`duration` and `dt` are ignored when `t` is passed." warnings.warn(m, UserWarning, stacklevel=2) + t = np.array(t) t[t == 0] = 1e-12 # Avoid division by zero. f[f == 0] = 1e-12 # Avoid division by zero. w = np.squeeze(func(t, f)) - if taper: + if taper is not None: tapers = { 'bartlett': np.bartlett, 'blackman': np.blackman, @@ -147,7 +148,7 @@ def sinc(duration, dt, f, t=None, return_t=True, taper='blackman', sym=True): def func(t_, f_): return np.sin(2*np.pi*f_*t_) / (2*np.pi*f_*t_) - return _generic(func, duration, dt, f, t, return_t, taper) + return _generic(func, duration, dt, f, t, return_t, taper, sym=sym) def cosine(duration, dt, f, t=None, return_t=True, taper='gaussian', sigma=None, sym=True): @@ -198,7 +199,7 @@ def func(t_, f_): def taper(length): return scipy.signal.gaussian(length, sigma/dt) - return _generic(func, duration, dt, f, t, return_t, taper) + return _generic(func, duration, dt, f, t, return_t, taper, sym=sym) def gabor(duration, dt, f, t=None, return_t=True, sym=True): @@ -235,7 +236,7 @@ def gabor(duration, dt, f, t=None, return_t=True, sym=True): def func(t_, f_): return np.exp(-2 * f_**2 * t_**2) * np.cos(2 * np.pi * f_ * t_) - return _generic(func, duration, dt, f, t, return_t) + return _generic(func, duration, dt, f, t, return_t, sym=sym) def ricker(duration, dt, f, t=None, return_t=True, sym=True): @@ -358,7 +359,7 @@ def klauder(duration, dt, f, t0, t1 = -duration/2, duration/2 - f = np.asanyarray(f).reshape(-1, 1) + f = np.asanyarray(f).reshape(2, -1) f1, f2 = f c = [scipy.signal.chirp(t, f1_+(f2_-f1_)/2., t1, f2_, **kwargs) @@ -391,6 +392,23 @@ def klauder(duration, dt, f, sweep = klauder +def _ormsby(t, f1, f2, f3, f4): + """ + Compute a single Ormsby wavelet. Private function. + """ + def numerator(f, t): + """The numerator in the Ormsby equation.""" + return (np.sinc(f * t)**2) * ((np.pi * f) ** 2) + + pf43 = (np.pi * f4) - (np.pi * f3) + pf21 = (np.pi * f2) - (np.pi * f1) + + w = ((numerator(f4, t)/pf43) - (numerator(f3, t)/pf43) - + (numerator(f2, t)/pf21) + (numerator(f1, t)/pf21)) + + return np.squeeze(w) / np.amax(w) + + def ormsby(duration, dt, f, t=None, return_t=True, sym=True): """ The Ormsby wavelet requires four frequencies which together define a @@ -428,19 +446,11 @@ def ormsby(duration, dt, f, t=None, return_t=True, sym=True): m = "return_t is deprecated. In future releases, return_t will always be True." warnings.warn(m, DeprecationWarning, stacklevel=2) - f = np.asanyarray(f).reshape(-1, 1) - try: - f1, f2, f3, f4 = f - except ValueError: + f = np.atleast_2d(f).reshape(-1, 4) + except ValueError as e: raise ValueError("The last dimension of the frequency array must be of size 4.") - def numerator(f, t): - return (np.sinc(f * t)**2) * ((np.pi * f) ** 2) - - pf43 = (np.pi * f4) - (np.pi * f3) - pf21 = (np.pi * f2) - (np.pi * f1) - if t is None: t = _get_time(duration, dt, sym=sym) else: @@ -448,10 +458,7 @@ def numerator(f, t): m = "`duration` and `dt` are ignored when `t` is passed." warnings.warn(m, UserWarning, stacklevel=2) - w = ((numerator(f4, t)/pf43) - (numerator(f3, t)/pf43) - - (numerator(f2, t)/pf21) + (numerator(f1, t)/pf21)) - - w = np.squeeze(w) / np.amax(w) + w = np.squeeze([_ormsby(t, *fs) for fs in f]) if return_t: OrmsbyWavelet = namedtuple('OrmsbyWavelet', ['amplitude', 'time']) @@ -460,6 +467,25 @@ def numerator(f, t): return w +def _ormsby_fft(duration, dt, f, P, sym): + fs = 1 / dt + fN = fs // 2 + n = int(duration / dt) + a = map(lambda p: 10**(p/20), P) + + # Linear interpolation of points. + x = np.linspace(0, int(fN), int(10*n)) + xp = [ 0.] + list(f) + [fN] + fp = [0., 0.] + list(a) + [0., 0.] + W = np.interp(x, xp, fp) + + # Compute inverse FFT. + w_ = np.fft.fftshift(np.fft.irfft(W)) + L = int(w_.size // 2) + normalize = lambda d: d / np.max(abs(d)) + return normalize(w_[L-n//2:L+n//2+sym]) + + def ormsby_fft(duration, dt, f, P=(0, 0), return_t=True, sym=True): """ Non-white Ormsby, with arbitary amplitudes. @@ -501,22 +527,12 @@ def ormsby_fft(duration, dt, f, P=(0, 0), return_t=True, sym=True): m = "return_t is deprecated. In future releases, return_t will always be True." warnings.warn(m, DeprecationWarning, stacklevel=2) - fs = 1 / dt - fN = fs // 2 - n = int(duration / dt) - a = map(lambda p: 10**(p/20), P) - - # Linear interpolation of points. - x = np.linspace(0, int(fN), int(10*n)) - xp = [ 0.] + list(f) + [fN] - fp = [0., 0.] + list(a) + [0., 0.] - W = np.interp(x, xp, fp) + try: + f = np.atleast_2d(f).reshape(-1, 4) + except ValueError as e: + raise ValueError("The last dimension of the frequency array must be of size 4.") - # Compute inverse FFT. - w_ = np.fft.fftshift(np.fft.irfft(W)) - L = int(w_.size // 2) - normalize = lambda d: d / np.max(abs(d)) - w = normalize(w_[L-n//2:L+n//2+sym]) + w = np.squeeze([_ormsby_fft(duration, dt, fs, P, sym) for fs in f]) t = _get_time(duration, dt, sym=sym) if return_t: diff --git a/bruges/reflection/reflection.py b/bruges/reflection/reflection.py index 3ac4f0c..44ead84 100644 --- a/bruges/reflection/reflection.py +++ b/bruges/reflection/reflection.py @@ -1,4 +1,3 @@ -# -*- coding: utf-8 -*- """ Various reflectivity algorithms. diff --git a/docs/_userguide/Quick_start_wedge.ipynb b/docs/_userguide/Quick_start_wedge.ipynb index 2083259..a0a2d46 100644 --- a/docs/_userguide/Quick_start_wedge.ipynb +++ b/docs/_userguide/Quick_start_wedge.ipynb @@ -53,7 +53,7 @@ "source": [ "import bruges as bg\n", "\n", - "m, top, base, ref = bg.models.wedge()" + "m, top, base, ref = bg.models.wedge(width=120)" ] }, { @@ -72,7 +72,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -115,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "fb063996", "metadata": {}, "outputs": [], @@ -137,7 +137,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "id": "8a5e3279", "metadata": {}, "outputs": [], @@ -157,13 +157,13 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 5, "id": "ee009d62", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -202,13 +202,13 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 6, "id": "bec928ac", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -247,13 +247,13 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "id": "739e8ee2", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -282,17 +282,17 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 8, "id": "e7da9aac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(60, 100, 100)" + "(60, 100, 120)" ] }, - "execution_count": 12, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -313,13 +313,13 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 9, "id": "ea216847", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -354,23 +354,23 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 10, "id": "ba90e362", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 41, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -405,7 +405,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 11, "id": "79741fd1", "metadata": {}, "outputs": [ @@ -415,13 +415,13 @@ "Text(0, 0.5, 'frequency [Hz]')" ] }, - "execution_count": 15, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -460,13 +460,13 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 12, "id": "6ff4c5fa", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -498,28 +498,30 @@ " \n", "## 2D convolution\n", "\n", - "But when the reflectivity is two-dimensional (or more!), you need to use `np.apply_along_axis` or some other trick to essentially loop over the traces. But don't worry! The `bruges` function will compute the convolution for you over all of the dimensions at once:" + "But when the reflectivity is two-dimensional (or more!), you need to use `np.apply_along_axis` or some other trick to essentially loop over the traces. But don't worry! The `bruges` function will compute the convolution for you over all of the dimensions at once.\n", + "\n", + "There's a small catch, because of how models are organized. For plotting convenience, time is on the first axis of a model slice or profile, not the last axis (as is usual with, say, seismic data — with the result that you typically have to transpose such data for display). So we have to tell the `convolve()` function which is our Z (time) axis:" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 13, "id": "7da23927", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(60, 100, 100)" + "(60, 100, 120)" ] }, - "execution_count": 17, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "syn = bg.filters.convolve(rc, w)\n", + "syn = bg.filters.convolve(rc, w, axis=1)\n", "\n", "syn.shape" ] @@ -534,13 +536,13 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 14, "id": "03366ba8", "metadata": {}, "outputs": [ { "data": { - "image/png": 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QH3rUbsKOuGNKuZehNdwlz+fFRbVN85LmubwcZ8wUTIsFcHhYFY95Xr9tKnQskG0nptrdAPhRAO+w1v790kc/C+ClAF6x+vv1vYxwUygqsW21fIrnkzmfhJBUtt1mlwWnFoIPic+6TKvQ2vAXF7It19aHl8ZVDvEDcph/Om03JRPzSMm2E/NO+3kAvgbArxlj/t2q7TtRGLDXGmO+DsB7ALy4lxF2TUzMPKGvE6N+iD4kHNuISuYIEUJq6Mxmb6LgqFxtnholkgSltI+LC93zqa0bX9cGxE/JFLLNtNtkH4ipdv+3ALRkoRd0O5weKL8ma3d1B3f7JMJKzrKqSG1CH0KVELIbdGmzNyU+5/Pi7wmuIlcAKW1c4goTVTjGhOgBXajGhv5du0TKo4eilOwS+yNP+lpyKGVOpgCpUzjFDI0QQrYN5/F8SnhqJezSht5nkyzDzDOYWTZJ2q30WRfis26yfJ8hXgL4DCFDsT/i09H13RWyIGLOKKKtSJbFe0lTCpkIISQGY+SCmT7Jc2CyvHftipQqhsp/l6mbpwnAZDrF7OCgIkqRZbh5Uo3131vq3lOfkKhN8Yg27dcECk6yCShXgNHefTGhfEeKUCWEkBgmk+HF5yy7Am6dFQmUd+8CZ2frHZzCi52w068AAuSE0iwTT3Z2eIiZv48sA3J5H35qVar4ZCie7AMUn12gVRJpb+axb+wJxVHStFBANzmmhBAyGE5YXl5eJ1z6tlBKxHTblsmyQsD6bdOpLEql7aWwkiJUkWUVp8FsJXRn3i4k28zcULIvDC4+hxZDa6IspUSxCf5+NOPWRmgmxtfVq80YPSGkBgOLGe4Ne9CLC+D8vPj79u3i3759PDuLn5BTwgnQMgcHssjUvKSHh/L22j48pMhWJRUAAKZTzKRzkJ4vY4DPFhIBfyUabSZhqyNGpPaFViBFCCE+1g5vK+7cuc71dGH38hgWC1mQauXqGjEiUROf02l1IXmg8IZGik/V+xqRt6pC4Ue2BP5SHamTsdWRZbqA9d+4nRj1DVFK2F4bg8+QDxIaQkK2m6urNEHXBS7c7v7cubNuS7VCJJcj6pNSmCStg3l0JAvK83O5XfOoSn2l/6eIz5R1O2MZq0eV7BRUBy63yKevTPBQzqc0Dk2o+sTkL5WPNQT0rhKy3Vg7vPg8Oyv+XFwATz4JfOQj67ZkuQRu3aqOy23j08YbChThdangKCVEr+SHRntJNZudYsv7EKqENGTnxecVJs2zTNtmf6fkdrYRpEA3ojQWejQJ2Q82EXYvzwJfLjpyLBay0Ly40Cvj29jsWEHpwuhtxGdXoXjaaDJyBv2FbsKOPXUPdpXrGCtIU8LjiXOFtp3QPpmYdABCyO6xibB7OeQuhd3LnzmWy2tBWn4Rd+LVRxOkKeIzNryu5YFK20tj0Lyh2nhD7bFQvJKe2Y9fWEgIHhzIVZLa5Gyx4jMk0LrwiErbtpyuSaVp8RXDPIRsN1dXVW9i3zgR6cLvfnHRxUU17O7E561b6/ty7SmzxPukhMc1oSl5PqW2kPdUGldMW6hdg+KT9Ax/YSH6Wn6i7bRKmuezzfyhWt829DljACFkd3HeSylsHtsGXFfOa+IzxnaneEMlmz2d6kJX2oeWasXKeLJD7M+vTzMMy2XYQzfU+mdtQuyhuT9TQvRDh/MJIeNmU2F3F41aLKoi0bXduVPdTqqMl6ZqunsXV9aubX61+hPDBPIcyhNJIIamX4rxqErCM7UyPsWW0+6TAdj5X9lyieuVJaQwdpalTzIfKzRT91vur013kZofSgghTdlEtbvL53QFR774dHmc0vRL5+fVfZ2d4cqzxfcA+Fb8CukC1P//ZLGotkttADJjqjuNrayva49pA/pLjeJ0TaSGvVArRcX7yqSkFAK5/o4hC220uT+lcWhh95AnNUaodpEvSgjZXjZRJepIzZtPxBeZIfHpt02UNskbmgntEwBX1lbbLy4wkcLusdXyrj2mLdTeti9TrkgNe1PtfoVJsZyZ5CEMvaWVBxwK3ceSclNOp3He08WivzfNNuc6NBTGhHTLpqZaAq4rwqUwtF8t7tqUF25NaK51W/2J6ashCdBQm+gRFWy+1CZub4x8DTQPZ+xzg7aVdMz+/aIkMSXdWE4k+p7PVM9pG2JXSALkJTubTHTv02Z+vKEZszAmZBvZhPj0bZnmLCgLp8QUJ8nLeYV48amJUTEPFLJQlCxmhmo6wGTVFiVqrcVEEqpSmzHyilB92XLOfkJKjEAx9I/TjOKE85oQ026U2NzKPg22L0o1MZrqDW0TZmeInhDSFc4uh+bO9PvnOTCfV4Xo7dvIPJE1WYW8y88DSeBdeX9Ln8VS7q8JStdWbr9C8aD2jydZ1ythnxOlXQr7AwAWi0KYtiHk0CEEeyA+y87KLENa4rZEnsfND+f25xvC6VS/CZtO+9HVTd31PKF150NxSsj42UREwYnJ5RK4caP62clJdZ5P6d/KhPSz27cByKH3MhMUxUk+sbmh5f34/08JxWvH0nJMpeNrXlmJiTcTgIa6emBqsS3ZO/bq6V8I0PXbZYIrvQoeWL+JtPnayv3LBwPiQ0NtV0Makq7GQG8pIUTDOQX8CM7lZSFMfdssTV/kbJVnVzJjsPQEliTQ2ng3y/uNEaWhY8UK3dCxYtH2IQnNLo5F9pO9eNKX89erGnNViKRVtUvtvkCKnYpkyHzRJgw5zydFJiFE4uBgXXBq9larAC/jVmcq2+jFAsgy5N5qSMvVlEhazuVaX6ENaC/GYkkRbSGvZ5I3NOWYbcP2ZDcIeND3SgHoTkvvtspm15XxkhD1vZlSKN7NOxfDYlHN2+wilH55GV+cNCQUnoRsD5u4X8uTqPsi09lc377mOXDffeu2+M6dYh/lCekvL4Gjo8p+s7MzHD/5ZFTofSm0tZ0nNPazpvuOCf2Hjq0KStpzohGI9u79r6Z22su6ancn3FLWYPc5OEjLDe2CIQUnjRMhJJZyJEpLidLmwpS8ofN5te3srJpLCmBydoZZ6XhX1orFPhDaNPHZpDJe6peSNyq1xXo0W4tMVrUTx76Lz5hItxSOz7LZWpvoDS06VwXk4WF1GgttPeGhQ/Ga8Iw1Ll1MWNzH9oSQbplMZEHXJ87bqYmYy8ui4MgvMjo5uQ6zO87O5OKkkxPAC7vj1q1K38lyieNbt3DsLdG5tBZ+XMtN1dQmHJ86VVNK0VJFVPpzpTrcDAM+fdh92vzd5rHH1I8G/ea1+W/7pE7npaVhTjCTKuOdsZLyQ8tv6Fkmh+I1UavRppKwiccz5kvra6UMQsjm2ITRduJTKiBySPby7KwqPi8u5BD9fA488cR628lJ1WmwXBZtnvc0OzvD/NattfXhr1CE4iXPZ4p7IbaCPSg+faF5eLj+f/cciMmbdW1txSc9oqTE3quAVKdjJT8UK49o/A70gcTOH6oJyDa5nKmGpa2XNAWKVUI2w1jEp/RiL3kS/Cp4J67KOZ8aLnffn6oJKHJE/b4oPKOOCYDJ7dvi9E0xoftQWDzaw2lMVWgCxfj971ETlFK75iGVoCOCRLBX33yKc1HTglJ7ls2Q5V6IHlfXb91lpPzOy0vZBauF+GOne0qljYcztC3D8YRsJ5qY6ZOjo8LTeHh4XRgk2ICrkvSa4Eq2lxcXRTjdD9HfulUNu9++DXzgA9XipCeekEP0wn4nTz6JiZdulV1cVD2ybmyxSOIvVlC6Nn8fBwfxa8ZrQrXtsp1u32Q3ectb1I/4ra9oF46vkmUTTKQq+L5utLZ5o2PwfNIIETIujNnMbBiHh0+Jo3uYrcWtZSdCkaPv5+lnJ8eFHfaFnlRF7/7vh92n0/W+LhTvPyTcv/1juYr7MsulvmCJRKyH0l07n5BQldoloSqNYwyRMbKV7Pw3HyMiYxYsCn2m3b95PgH8oqVc2cFyKa9pPGRx0hAFR6nGhnlChGyOTRQc5flTHs97mMGr9QFQ6LuYAFBhh4+RZcdrbcefdFL1ZqYWJ91/fzVELxU93bkDnJ9Xhark+Vws5Er+2MKgkNdSCqX76QSAvHRp+W+/va+QfB/bk9GwdwVHUptmxGK9odr9LovUyBC9e72PEaTaSYzVG5oiKIf2uhBCrjFmePF54wYwn+PecqJFt0VBqmUpSfZ5Pp9gPn/Aa3sAp897uLDH5Z2+//2y+HziiXX7fPdu0SZV3N++vS4qQychFZRqglSyj9L3JaUuOA+nv48+QvEUo8SD35xCSMtJEZQ2PLXKUltiQ/xDL2sZKzbbCk0aIkK6ZRMeg4MDXGGyNjOdLz4lx2HIaSiZFkn3FXrqOpc0y2Y4Pj3VvQvSwGJC0xcXRbt/EimLk0j71gShNHWVlvMZEqo+KdMyMRRPSuzFt9x16D3GI5oS/XjKI1puz2aYLO/Fu19XS8ZFnURfb5ttRSbfggkZF5soOMpznJ0VGuzsrOp0dDVEfgH73btxRe1AEW32T+voqIia+2H709NjnJwcr/U9+aRnYfbQQ9Ww+/vfX/V8SsVN7uR8oXlxIYtPza0rkfLgSRGffQhSCT4H9gJ+SwqplfE+oRfQ+DQdIUQvCVKHL+rcsp19rJQUIzSbiMw2hoNGh5BumUzkvMA+yXNcPHGtw6SpOyXxeX4uF5VLtlzSXIeHhfgsc3AAnJ5WF0k6OQGe8YybFaH6tOc9Y30Q5cp6P0SvKejYyngpPC/Z3LDXo9ou5XymhN1DolTqK0EBuvPwG+oJTZCGBG35fnHRm3L/LIN8U4XmCO1j3fgupteQSDEYNC6E9M8Gwu5+yB1Y11mu3Tdji4UcStcciVpb2Yw5fRXjYChW95xgPr+51u+plCqpMt4Xemdncl5XbFTLDaxusK5Ny/lM8XzGiEr3f4bjyYrBv81J9EJj3ZBlk7V717+PU/M1uw7Fu3bpTVxOH3JTipQbZ9fz3NXtQDuJlFWTYkVmk7faLTFEV+qU0ITsEJMJrvLj+n4d4jye5T9lk3XnTqHRfKfhRz5SjW5rdT0Skh3OssLr6Xs+b9wAHnxw3QwdHhZtvvf05OQmTk/XvaR5Dswe+qh8Er7nc7Eo3Lr+iaU8vFIePGnhuWp7SJCmiM8WNp72efzsxatEyOMYkw/qaBuKv05or34mTUPnctL9dn96uGKfHRUttaGNEekoFE+jQ0h3WNvv7G4STmxqhUWXl0W7N5e7KFSd+JTqeqQF4SR7O59XNdrJSaEHffF5fi6Jz+rx87wI2+f3r3tJZ/fdl1YZH1uclDpVkxSKlwqWIsPxzi6LM820qLfYBGMYwy6wF+KzTIrYTCE2ApIiXrUZTqQbuOhbrtJMXPYzNBCJth7KDjycfQhNGhZCrtmE+Cy/5Gthd20bTZ/57RcXVfF5caFXxfu2WCpsd/+Waoh83P7K+y2E7jFuPugd7OKiULa+IE3JKYgNxbtBaULT3154SJXTJkLD8r/jUN+69q7hc6B/9kZ8amH38mc+WnFh3U1Vbm8TjpfQFk3SQvS5V7AErERpbBV9Cj0J0liR2ZfBoCEi+8rVVdrMP12gCckyWn6nv93FRRHZ9s/h/FyeqglY13guguxrsfvuK0Lvfn7o+98vFyd97Meu9y08n8U+ytx/P3B6um7v8ryotveF7iwTvpzQhYtx9brBeVxlM/l6Kw5ZTXzGPDtDolTrGwtt+XjYefFZ5JiuewRjf4CpIfku+2l9U9N8pP4zqXBJUq+hQqYUWoTd+xSeNESE1LMJz6f7uwtxcXkpFye1mSf08rLoX26fTq/TpRzlOptqcZKcai9FvMt/O+bzCXIvH/epBUskYvI4V+2+3dWcrJJXOSQ8NyU+aevHx86LT6AqwvyCo5Dns06Puf02Da+H+ko5n67NH4MUotdyRot1kNfbo0P0qXdxT3moXVxfQkiYTYXdHc58lEXe5WXaypISTjz6bbFeXmm5+Om0aLvvvvV2Ked0Pi/afM/ngw9Wc1kPD6sL4Ll9+F7WItp1HH0dfJZLYKlE8vsSn7FOFqkttk62j9kGSTv2QnwCzTSQJjwl49g2RyU2xK/lg/to/aSCpaI9IEg15d6GiP00yels86CkSCVknU2ITx+pmDrL1ieJv7y89ib65mo6XQ+bl4VI+d+LBbBYXAKVGVkuV3/Kfae4fdsv4png/HxaEYk3blSr8Ofzos0Xj1LF/o0bRZpAeb/TaSFy5/Nq3qnf5tpTTHcbQRkSpFJ7zGqidd7QlMlaKETHwd6Izy7oq1hJQvOo+p+7PrEeWfdZjCG6wqQI47Rx646YHTkNQnaK2Dz52DUsDg6qgsOJ0bIoLQSMJjzjFMvFxXRNCLl80du3q+Otei2vJ9X3BaXkdZSKzUPF6hIxpj2Ugxtb/1D3WRk3m0HM9proTBGYfA5shr0QnxNc4UoINdchVThKIW8NLWwfi3YDSmPQDI40hVPk7Birtqr3UQzR93AHu++N0ECSzbBJz6eL0ty5Uy348YVbnhfhal8kOeHm20spjA0AFxcHAMqKZgpZfMrqZrGYYbG4HuzFxRQXFweVSnqX7ynNMe8vJe+uQXmhKXdevpfT2XxfkDqvsE9qtlVszqbWz2+X8mw1oavl5LaNOrp9k2EZVnxuwpKt7i5NyNTdfL4hSxWwfVTs+dtoY5IMrJYfGkuWlTyi/gf+wEI72TBd/QwpCgnpB2cmjo6q95m/LvtyeZ1H6eMLVaDwRPp28FrYSC+80uIoviidCv0mWCxmuHVr/WAHB9OK+HTi1HdauPH70zJJIs1dF9/EzufNU7jcmLS2pqllTkymhOKH9IimwOdAOptXAQOjeSI1b6bkYZRC3rHH8/cfs486pHFp+9WOFRued22+kH9KjG5JiH7IFApCSBrlVCLJNvmhdM275162/Xtd6uvyRi8vrz2XhYiZoipIncj08z4vvbarVdu6KF0spuLk+efn6x5OhxSiv3OnKsKBQoCXPcUHB7o3USPFPxBr8n2bK6VDuH5j9UTymdEd0T8xY8wUwFsBvM9a+0JjzAMAXgPgEQDvAvASa+2TfQyyKyTvp3STld8qY0I4knFzoZ0YNPHoPpPG5hOqjPe3l8brPvP/L+1D6it6Q6WOiaR4rLVc1pAxjOkXIjYFg5Ch6cJmjyHs7uM8YzERHCfOyuLNnY+0pDmwbrcXC1S8lgX3Vn9LrrR7Qpvfr/CGHhysi9ei6Gm9p6uelzyffmW8O8+yXZpOi336otYJcMnux9CmnqA8Bi2fNYa+fpu05f2Togy+CcA7ALj1wF4O4I3W2lcYY16++v+3dzy+zvEFkssFjREomuez/Hm5PfWNMEbI1BUSafsv90nxvMZ6CJM1pjQIBek7GyP0ppKRsbU2289Z9PFD8U6MSoLUXxYdKHIrfW+iJGinUyeQDrDuvZyiyA0ti0etMOneqt+00rZYlPdZVMtLwssPmzthLgnHO3eqk9/fvVsVdFrYvI2/ILStFknz83kvL2lL94Gon5kx5iEAXwLg+wD896vmFwF4/urfrwbwJozRkNUkRzYtRpKQhGoMIS9kTDK1JF5T+qZUKIaOIRYniblS6g6iuoa8oTEe3bZCO8RAtViEBOnKZhuzuRRtZxK0pS3L91W5T9lzmGXVtdWXy+r6666vP9en29etW+vi8eLC2Z+y2HTFSjGJhS4cX+ZyVaC03jqdVpd2D4lPvz3LCg+wFsGKsY9N6h18tPQH6fhShFHCTbvlb5+CFvqPhfa9GbGX+AcA/HUA5elzn26tfRwArLWPG2OeVruXTViy8i9DuaskgSQJKS0MrYXXpTnnpHC826809BgxEwrbS9tqRkDrL22v0errjY2PQxa12kuEJqBTcl/bUOcNIKQHfgBd2OwN4cROKO9cuq99j6iz1759PTysehPPzq73Xz7WwUHV5t26NcWtWzewLiCdTZLyQ6XiJOcRvWaxmOLWrQOvrbrEp1acJOXJZlnVu1j+zO+b4jjR0iK01DCpLfZ5phXQujQMhyRIQ/uVPM0pOafTKecObULtT8wY80IAH7TWvs0Y8/zUAxhjXgbgZQDw8MMPp27eP4E7LcXoxe46pa0LtBB7zBhSxiYJuiwL5IKm0GVcKLCbPj2isWMIjYOQGLq02c961mZtdsqt7oSUv40kkI6OqvmSy2W1Yt69bPtixIX414uT3LRMUs6nhi9IL7FYrKuhi4uw8PI9wFJfaYlRLeweIub7SHmOpDw7QyJPEpB+39CzT9pfqgAlacTc2p8H4EuNMV8MIAdw0xjz4wA+YIx55uoN+pkAPihtbK19FYBXAcCjjz5qOxp3twjiJlScFBuy1jyM/pu19Gae6g2VSPEauM+0/ZTHFUJ6Cxcr49soOuUitPGGAukeUa1vWzYV5iQ7Q2c2+w/+weFtdl2IN5Re49tM5/m8c6fa368Ud6FpX3xmWXXVoTyvCpTLy6I4yRePRSi+qSAtBO7FxfqxnDdWuk5SxO3wUBZI/jVwnmPpfV8L20toNlfycmqeT6lN6istk6odXxKUKeegQYdBOrWX11r7HQC+AwBWb9HfZq39amPM3wXwUgCvWP39+v6GOTCrX5I0mbofjnc3hHRTxITo3fYxQtUbXhSa51NCGlvKnKCxOZfiB6l3b2SIvokgTfFGxhgoGiYyJF3a7E1kSpWFTqrn07dXzgvo27aDg2rB0X33yYJS2q8mPqdT4Px8XeUVqx5JUzJpsVp5WiZ/idDzc9nj568l77y0ft+Dg6r31/WXnmc+mqdZQ3uWxYrP0HNW2q8vNLWxavY5Zd14OgzSaXPJXgHgtcaYrwPwHgAv7mZIIyLSI6rRJsyQInaGFDepoZLBiQjRpxYsSbtJDVVRgJIRsJU2OzbqEPICSuLRFxfLZbGOelmQuVC8JHrOzqqCsAjFV8exWPj2Jm3GDkkISdMySQLN5VX6fReLqs12E7mnRLt8ungG+PvQIoGA7qRpg8v19ZG+hzYh933OFU36mVhr34SiQhLW2v8M4AXdD6ljNF997LbCdr5HNMuqnjTpTU3zksbm82hDbxNGr0Py3ra90bNMWSGp7YAT3Jldhehj+ob6x0LxSprQ1maPwfMZG+7VbKAWVfI9n2dn1b537hRtH/Mx122Xl0W1vN/X2fHbt9f3e34O5Pm04iX114FffVI9CQGXw+lPI3VwIK8N74qpfI6O1vu6qaWk9Cnp+moV9yneUOkZF7tYgOT5DD07Y5+T2gpLsYW5pJ5N+6mGp03MGhDvwpjwfAhtot1YQoKnzU0RyrOJPZ7fdp303UEhkjRgaVDSZ4ke0ZhDpfZNYeMeZUIGJCQ+3f99+yHZ3JBw8vfrhFTZFktLWwJFDqgvZtx25b7OgyblJd66Jc1xKQnSAr/dD8W7NieiHU58SucrzQm6WKxfg5TnSF0ovvydhebY7qIy3qetQ8ddp6bez332ckrwkZaKlpAietbi5w9NFRd1YZFQ/mLMPt222uk23b78/7LQa12EpKHlAigWR/OICl2TDDLfjMk2ssl5Ph3S8aX7VGqbZYUojY1eSF4/LeR9clIVn6H8wbL4cCFzv83ljUrEVHRLoXjnMZQE5d276/vI8+qE9JrXUTOrwe+rtBPntJl5/a8wSfZ8tnEQaB7R2POLte0h8bqPUHw2IfLXNvN+paFc0ZSwe0ohU+yN0eam0vpL4RONpzyhXcf4Q/uIOVZAkKaE3tu8BBCyT/hhdzFCkhBDnWQZZl7bbJ5jPl+3x/N5Nb9zuSza7r9/ffsnnywKlPwQ/XxerYy/dUverxTxOj+XvXYpxS8XF1VRq9nhPF8Xu1IKGCAXXbnto14OtAeawCTLKs/OWQYgzyrPUCnsDuhe0ti28t9+u09qe0oRb+w+txGKzxBtkv0Et98EV0nheMlrKA0hJbTU5Mdb52XV9i1FvHv1oqSqvhav8qHCs7bXvK/QPSFN2JTnUw3fhoSM1ia8rfvpUnk+iw7LOq9h+bPDw2qb6+uLIU3kOdGoeVvr2rS5MFMcGSGRJj2PVPseeyElFNss1VtIjhvptxOb2hZ6lg5ph9s6McbODp1KJF0kQkr7lPop+aGxAjR2haQ6JOPQVBDWXTrfOGkGS95WyQNto+ZivZ6ub08h+pShSbQ1OhSvZFuo/NZTRGZswuTBQTVVKlvi5jxfu4e1F37Jji6XhfDz586U7l0n+vxCoDyvek6dNzPFY+YLUC1aJrX7Y3J5sP5zR5rQ3pnQWYZ6pQrEq2zh+wJWXlLvwmipFtKjPxRhTPnZSW2xNjvlEbVL7PjpKcSooS4EjoIvT2YrQSoJTX/XqZXxkvjr4saI6e+MlpToruEL84lkMbp4BU19tW0Zoo/ZZWjXbdl1Q0b6YdPV7mrIvfy3w0+ilPo4pAkuV7Hl8t06yzI8cDKvhOilyngXSi9Xu19eFuF5P+wuLfvptvdzOxeLIhzvV8u7z8poK/P4k+w74StNQeWLZ+C6Ct5HcoTkubSwCPTvK8bg3b0r/xCnUzHnbCaE7q9Wnu0yTcRnG1GqsY/Ogf14JI2p4iOg/CL1TeWz1OIXbd9DIV2CFEHcG6FBxLiKG4ToJfpIeyVk2wjagxSnQcoNJCm3i4uKdy3PJ6r4lBwGbvWk9X1Uh+kmhPfxi5AODtrPkKKJLkkPXl7qc4pGP4tiH1Q9GbyUqKNEKDDWNnq4j5GtTT/uN0+fCR4J+5Wma8rzaujAhd19b6ZWCai9qcUOt4u+sdvLl2siXhtxgz6/M6lPDyF6iSE9pISMkrofu+T1dNulGEDJpvhzDwE4znNkp8drbaFQujR/qNR3Po9fpUkKhWtIgtJNy+Q/S9w0Ug7niZ5O172ybt5LqW81RD/DJBO+B83zGf+AWP8buPaS+op9uaw8S2ZZhplSyNSXN7TLNDfHxh03DdjCITekT+9nyi8kYQzam5p0w0uCtPx53VA1b2Tbvhopk9dXQvFOyMUmk6YMMEFQRr/CBjyiPm08pBoUqaQpmw67A9B/wClz1qSKmTJK7tBsvn5fz/IM2elsbfJ6d+v75sKJM3+ie2maJSdQfUGnTRzv63C3z/L206kmEuWZU6TJ5xeLajqBO1fJe3vsX4TQW7Wk/CSkfbhB+J9J81gdHFRSLVzY3n/u9BmKTzm9WMZu9/dHfI6B2LAu8FQ/aSJlfzfu/9J9rTkHYzRWir6SkMaljS3lWFeYVCVanbCPFaqxr6apMRjtInikhuhjoOeUEI9UFSD1E2LO+XxW6Tafy1P/HB2t///ysmiTlvMMTZpeJqTHJWErPUv8/bpz8OcQzbJrD66/vegMyQVB6FRwzMlJSFGoVMMmeUHyXKysj0Vz0KSG7dvY6LF7Q0c+vIGIVT6h15O+YtveGCZZhjyX38hiXhZX91UvwiNWvGpFU1pCu/QS6yeTdzIwrb/bJrZf09+S8sLhGEqUEuIYwyTzKuUYcJOZu6V7UKu0lrb1FVaWYbJc4nhteSFg/oxjcSlOyfM4nwNPPLE+DBdF9vveuiUXPUmFRNJpKfoZZ2f6u3JZwN69W/y/XLtVttXlS1N4TSfI8+tUhQmuigNpS/9Iqjbme1Yq48UHSZbp6RrCs3cm7ENbxEB7Hkf6IZJD9HXHHxtjNSv90GfovQ2h1yRhvLFvZJv+8Uovpdq+6zSbbyAL72fHy3OGiLUYbbav+cL88+1ajBIyJpLu74MDXcTEGjInbGLXQZTETHk/KyYA5vPjig07OalWu19cVCvTz8+LteX9KY0kh4PzsMbqas05ILVJ2Qf+pAGuEErQ5U+d33XbpBBzQm5mEtL3tVjILw0S2jxUMcssZVl0IVOqj6ptWtVoXxpXjHx4AxLrmepLvKbExz20pTz7+vGlXoLY/tLlDUfShWmZYg/e9ruMDa+7Y6VsH/nFtc0ZJWQr0HJ32hgWDUnIhMSorygl5XZwgNm8KGxxuGJSP29Tcu45QVcO02vi051qTNg+dErS9tI+fC+py/fUVkPy15yfzZUwnJZnEEPd9+V7VKVQoJT86kSykPNWefZECtLybrzNo/qF+o6dLR12C/oSkLEh+lg0z6ckTlbhAF94pKyF22bi+rp+sZcm9gVUI1gZLw2sLV0ITWn7FhaGgpRsO+JPPSanT1sUPcUIadtLbVq4NqIsfZLneNrpCU5O1ie0l4Sbq0gve0QvL6+FntRXCsXH6DknPMui2PdglvtKY5Bwtt0Xn8AEN/2qK6C6VJRmFxcL/bv026XvazrVfx+agva3l8L8kiAFxEImaahamxQJ3Fb2T3wCcYYsJAKG+uYTk0O04iR/F5ojwT9kV6eaEnH2jy9tr40t+Q2w6xcGt4/YPIMu9htBH0VMhOwVsZ5XLbbtv1mv4uPl3HW3VKQU7fUnfndtUntsumNIs0mPSM2RUcZpOangqBp2L9oqE9Jrg019IEkPM3+/sV5tbR91KRrClyGlT8U8z6RnY2i4Y2c/xWeZJgprUyF67QYM5IZKxUnSve2MQkxEIjS8WNpE0QB9qqaoUHxXg0jZr9QnNWzfQsDSI0qaMOqCI2lgvhgICRmNmJzPkJ2I2d7lOpbyEidZhpOTm5WuToz6+aFANa3RheZ9z2eWySF+qQpfujTa80FyGLgx1XlJpa8GKPJjZ3Mv9h9KWI1Z1aqsoGN+N9qcU9Kgpf0tFsWXoXl/Srhn1KzU7GxzneB0tPBNbIwtG+7AtA2VppBSZZmAVJwUm+KSQkpkK7avFvnQkEL0YijeHayt51NKzpJoG15vIlQjGKqqnpBUgsVGoZCIH3p38emYkEqWFfd0eR8pnjGtfbnUbYUX054sl3jg5GStq3MgSOLTt3duXXg/RO8fCrgWo1ro3UeaE1SqjJdwUzKVPbVaUToAPHAyrypof0L6LCsGNZ2uf0+u3Udy4WoeUbffMm7Afl/pIeXnSbjt/eO7vr4gXbXPvEPtkm2m+OyToUP0EcJDK04K6Zumjt7Q6ce+qaVkReh6zquMT43nbxPb+ApMSF9IOX0pL5+hnEAJzY2o5Yf6/z88rAinPD+OXopTWptdi3ZpUa0U2ywJVUlra0t2SttfXAD3lpPqdHrSnKDu//4LQ6wdTw3nS31D25bH5S4K7TMAis+CLhIo2nrXJK9ZijdUu4EEY6gVJ0kvizGzTUiHqRuWv01XYXed6/PNskA4PuVB46PNQRfyYLdJ4QidQ0w/BXpEyVYQ87teLNJ+/9K9Kimn0AtsGaeuNNGkHa/EJL/A6ekDYihdEp++081pMecVdUgrJEnOQelzR2zY3i0uVD5dl3kg7bMQy2WbPcPN+++vXi/JfevyCWJOQGuL3fZ6gNX/a+pe8oLHhPKhP7farFm/KSg+U2kbim/rWdMEachFWGbVTwvH+13bVMFrEY3Ut+3YyxWqjK/mH0VWxqe+GUuE5pyLsdwpbmntGB28bQ86ryohXeDuOz8s6/ANlmSstKWBNGI9bv64An0nWYZZybjNMuDkZKZ1X/N+Xl6GtZiv2yS7r4Xi/XYpt9Qxna5PF+WH4cv4a84XWm62dg0AFLZVqm4KVcFLJxHT7o4R65yQPCTS9m3JqsXGwPidBRSfGtsefnXEvrFnsiGT0qVSXgC1IaTYhRQHX0pKQBSSgnY7i/VW90nsiTEcT7YVLUcoJhrg+mh5nNW30qrBC93TTaMkWl8npnz8/EEUYszXYvN5Vbgtl8CNG9XTkJb9dMLT32+sE0ILxUv7PDgoZlTyJ6q/uKiu0uTSOLO5sEKSPy2T23kZ95138Uz395Fi87XfrT/eUGQsMmdu7LOc8GkUItawpIRFQ14sn4ODuB+266P9gCOYoLpkZZZN1Jc3KeyuvR1L27Z1IEtIY9VePIu+E699pt+q/gNJG7BGm4KyLn5foX0Tso3EvukC6/efNh+ohlS1HKq+lp4bsd41QK/ePj+/bssyzE6Ap53O17rO59Uqafdvfy15F4Yvn4o7tFToHQrT+21SZb3bT3mfQKGry6bQ6exyX6niP8smmM9vYnbiDcSdkH8SbscxoffQ96XlFZRxbt5Ym6tNaN8mhUrxiI4FPnm6oi9PqS9QQmI0pvpaM5AKkS9Z4mepWj2WVA0ljUvt30XubuybcOwScKleyzYGi5CxEzIg2n0au9RibJ6QNI7Ul9IYEQSUkyDXj+VKyEvk+THm8/XdXFyg0uYOJXlJpfQrLSMh9rS01Srdqfnrw/uez+WyOAf/EmQZilC8ZPP8ATtXa8xDSjux1LBdTJujPC4nZkM1HjHHH7HtH+/IxkhKzLmJlzTmR50ibkJEHCt2zVpH7O9cu4fbiNLU7fSvR5knNCXE1/ULgwa9oYSESRGEkmAp78PHVfKUSQnrSGj9fPegMlZpHfnQXM1S2F2q0ZKmVHLiMfY0Yr2pLhfUn5Bey+fP8xmy/DptbJLneqGZb29dGCzmBKT20ENLsvt1XpKYfrEPypGnDvIpk0oXX/xQ3rXU4iSf5bK4kUsU847JgtQ3ctfh7cpuA5PEi8NYo8k9FTMu2cAJU36kDqwLb2gXaR2pbweEjJXUt9fY33OK+HQiJ/Y4sZ4wLXLhuwelcP7duzg+ORHWsawWlEoZCe4Q/jrykoZ3/5ZEqXRavpfV34///3J2hCsIlwqhyucCFPOi3rz/fnliVOnfKS7cJn0czlvt23fpwSO5oJswYjs+3pGNmaZhmS4p/4BTPKGplddCW0rYPTZdsUn0Q/tMIjbsrn4WG+bogjbe0BAMx5NdR3uj1V4KyzhvWex9slxW7XCsAE41eFJ/qTjJHd9zG+b5sThJvJuayd+FH94OFW6nnor/f82j6h/Pn/f94KBok/rO5zNMsgiPg/usbqCh9pTvXMs3buNhCT0f6PncY2JUVqxC07bvIhQvqS7lh6uF4zXPZ9fDSukbCjdpns9q9KM6KX/UNE3lQbSpjE/1hvYRjqdQJWMjxbbG2NLUlzzJgAhV6SptQj11osJTj8enGbLTmdilvKuLiyKbwJ8CSdJM0pKbrj02kh3q5wtgoGoypXnbnaDO8+vK+CxDUZikDUD63mJyCursp9RXK07yt6fnk9SSmlfURmh2FdqVtteMnvDGLs0T6jYpd5XyjUKCNPYFMPUFNBbJxsurpwXmCe0iT8AnZSnPVGFcJtklTMgWErK3sdXwknFLFbBtQrsuYbN8LtJamlkGTKeY3Xff2uanp8eV3btdSjbP10zS4UND1rycUt6n35bn1VU0Hf4c7U58zufXbVkGnJwcVyvjpVnutZOQVLHUz/VJsflSON6/YDtmf3frbDZNbFilafiljpRClxi0kJXQNlnlFdV0e6rd7d7v21dGQ+w9HKsbg3Yg9iTaeKxjK+XLY4hNHUjNaSBkDIRu1ljHgE/d/ZmSzyONKdZWxO5bO1dhpvlJniPLqlEdSVMfHcmCNLUyXsuK8Nskh4VUsX/3rrwMu5B5gIsLYJYLgzs/r5bWhxaeb+pcCKWATKfrvzXnDNK0gtSeOoXYhqH47ItUg9cmhNqFuEn1hgr4hTlXqyR3zfMZ4yXVaBOxCvWNzft284SujSE0T6g2gK5fGNx+fbSXCG37HXvLJntCW9Xj3yfu/pTWDpfyLWPzjC4v0w1ebAjIPzc3dmF1oAfuv3+t771lYcF8z6MTlOXDuUj17dv1fZ0YlJyJMZExt09t5aXy6bqUgbLn0/WFl3qQ5zPMTlFdj1Ryxy4W63Otru04os2dQIxt1X4f7jvcAY/odo56W+gi3NqHiz8WybtWd5zSeCe4gpQb2vZe6Sq0nhIukpAue6UyPnWwXbwwxJLqqSFk20jxhobyQ/1J6qVpltw+NPx9hDxbMUhjdRNq+uLEdyQoam6W55jPq6vduTxOfxe+Flsur72R/ql1MS2T9JX5nlYXyvfH6gqsfCpLdrqdSMo41g6GXgpCD5RyXynVaoeiT3yi9E1KHDm2X8oPcOglICs36ywpMhWrtbXPUoh1TKd4Tq8wWV9Vos5YDWVMUlzFhJB12i4GIUU5Li/jPFgh0RIb6vFneXf7PDurhGtD4rPM2VmxbGds2Dw1/1/ap7S9Xyu0XBbe2FjxmeczzObeQ+rwUD6YP3+o69M0FO8P3N9H+bupW+ZV2l5Kkh0JfNIMTUo4PkWoxrrxUmkpVCfA2thmWRGult5sATnKIIVqJLoIxUvbyhXw8tt5YdzWvb3BeUKl77KPyni37zLaxerrt0TIJogNxfeJls8Tc19r4dqUMLz02WJRvd/PzzFZLnHTi1lnz5hV7Kbr4kes3ZDLuCi2JDZTKuP9PE4p7O7mKpXC7v5+XZ88L9vsGR548MGqHXUHl/IJtBNo8/CSvnMXjvfR5qYasTNhvCMj/YXTu1olySfBi9aFfpY8qjGXKzXarEXHtDd+v/0KQmW8NuAuvvO2lfGhC0TIttOXXQ0VfMTe56H7MeWNOfZYviJzgtgTVPl8FkxBLB/68LD4U3a6XU9/VD0tTVP7L/ySjpNOwX0mLe0ek6abZUXua2XZzuk03S7GpFVI36/kjXFt2spJWxbFGvfodpWUvMA2OZ8hg9Wm0EXLBY08r5RlO/M8LTQTK2pTttfQnBGSvVCX7YwdxNDe0C0zZIQkESv+Qi+JElouaMz6400Fcd12IdEjxayFcO0ky3BycrzW5vIqpdocn/PzwgyVF2kKDVdzJkrOPUB2RJSF7nR6/W5QNoXOhlcWhEIxNVNWap/keTVVwv3bf/Fwia/aCdbR5LeQ8vAaAXyijIGUt9omb8xSu0+qN7RlMrQvvtyynZItlt6utTfYFEdi12k6UnTMRdd8Nj5PKKBPXE9vKNkHUl7sY377y2XY+ykZBt+AZFn7iepjw/GawQREozWbrx/rgZMcwGQtvK2ZqaOjwgSVNa3ksdSGVdc/5hQuL4s/5a/o6Kg6x7v2Vc/ns2LpUkl8akgPiLp+oX35Srm8rT9VE8PuJIote2upkOJdk8gyMfKgbRrrjOjqMsYeK2UMs0zYUYr7ta/0CULINbEvf6GwaAqxL4Vt3pQdksHyi2oAtYo+8wpKnX4WZnXC0VFVV0uRLSkUrw0/5FiQQvF++8FB4aQsX3Ln3JDGdXwSOWC3Y8klG3sSGtLDyFfV0nc4MsY9un2mTnn5pIbjpW3bVsb3EI7XCo4kD2MKbcPx2vKcktHTV0kTlu1Mnfuv6/QJt1+fvvLkCBkLKTa3bY6PFCYBwjlGfuVyajWmhOY2jKmSvrjAzdNTsTrePy0XsfYPVw6HO9z0TZKDUROUwtBUsVoemxPD5dQBNx6/bzH2yfqynflq2U7teyzb48NDeZ5Qd7CYthSkVZNGBMXnmOkjHJ8qLPoIxweOpy3b6SMJv5Tc0JTPNC+rb5wkUVx3vOqxEsLxEl18X4TsK21e7FNC9NqxUr1VbVJ0QoLUH4eUTrBKM5h4MeuTk2NxWL430dU1STrXF4+S19LtV2qPjTjP54XJ8/NDnRmUMiX8ivvT05vy4iKuyqqMpMDLB4gh5gVj5F5PgOJz/KQomRhXYEikhgRoma6W7dQ+KyEt2wmk1QBo/WIuQ2ifWt+uUweCHw7ljUx5qBJC1pFeClONmDRPaIpHto2t8Att3H4vL9dj6QcHmJ3kmM8nFfE4n1cfUf7Klq7dd+pqHk7X3jRM76buLCMJZdd+dlYtTrq4AI5jT0KrmI+NEMZ63LfAXo97dKRKav5RF+F4nz6W7Qzgz5OZZRP1bVei62U7Q5dW2k4Lu+tTs62L7Sx12U6JPirjCdkHYu1lCEk8pqDNc6QpJ78tNqyrxbelNndsP+kTqMwT6kLzUijdt4+3blUP51IY/cr6UHjdR1ohyf1fOIWKfZYq692/T07WUw/mJw8UNrv8/TgXb8z8oaET0dzKMblhI2K8IyP90jYc3zUh4+4pwmIFoWq+ZJ2XMqYtZmh1ArVd2D3ygz6/l7bLdhKya7S9/7TtQ9XxdaRGt2L7peQfHhxU1djZWeV8Z/MM8/n64iLOGyrZ19u3q7s9P5fTrbRLK0WgQuvG15wCgGJcfmW81DfLVt5QKW7vn3DIGxpDF57tDUDxuY2k/FD7Ei19FLr4lNWcZ0lSogxaalVsOL5tGlYX23YyTygr4wnphpT0peT8moQxtCHFUGl9F4vqFD+SixLAfH6zMsm85mi9c0eelsnXctKl1USmhOvri8+Li0Jo+hwers9VKonfpz479eYJXd7TbbCfQpGQmratUHzuCm3fdmPzUFy7z5DzhC6XRVV4CTdPqIQWsdJCMMLhotqbvHz6b+daFX01dD8JL9spDaztRPWEkGu0F/um+XepoXlt4vo7d7r3qIbayufmlJlgXGcnXgpVngGns8qlcWF3f9lO6TKGQum+AJVStUKPQn97d2r+PKHSfqRLk+cz3Lz//up3HHrGSjtO8UyPWKhSfO4jfbno23jXUlfhEdpSnYEa/gtoLE1eVlNedv3PxGU7Uw5OCOmOFG9oyvbTaZoR04qbJNp4P7XxavOE3rmzHrNGIcj8F2sXrS53dRFr/7Tu3NFz+mP9Jlqb5lEtj9ct2ekLVSkX9eKiyH2d+O5fzX3atjZj5FB87hJNFZbWt4kxHeGynZqDoA2xzgytr3b5Qp5P30ta/B0ZjtcG1vVMBoSQKpo3NMYwaROGdzEJcmw1Zoq3TVtDM8sqMevZCSrLdrrLUt79cllchrJuk2p5gGvh528vheM1R6JWyATI0zL5ZtN9ZX44P8uA+bx0vlnJGywNOHbZzpTvZyREPamMMScAfgTAZwCwAP4CgN8C8BoAjwB4F4CXWGuf7GOQpCEpHs5tDMcLBlabJzQm7zuUKxT70t/G8RFCGmtw2U5JqcacBHNDdwLa7A0Raxfdvdc0RJ8yhib7SzF4Uu6Q39epQ2Ess/l635OTm5Xdul3678ru/5L49G25Kwzyhxuj38v483y6trJOvLys1mI5j65/vJOT48o1wJ07+gNpC0PsErG/ylcC+AVr7ZcbY2YAjgF8J4A3WmtfYYx5OYCXA/j2nsZJmjIGF31f3rWIc5HmCQ2JQU23xR46VWjGHEs6Xu27guT5GMNvgQwFbfY2ot3YKS+FKYLW/6yLt2RNgEfGtyfLe8jzWaV7nldfuPO8uDT+IyZm2s3yZ9qp1J3CcnldsV/+7OioKkhdfylEP/MHd3Qkl/f7ira84y2z77Xi0xhzE8AfB/DfAoC19h6Ae8aYFwF4/qrbqwG8CTRk46dOefmkhuPrtgX6mSc0cF5+Yc4VJqNZtjOmXSo40jyfbp7QtTEMOU8o2Ti02SOjq6hSTDGS8zzWtZUpuw21qscUb5uk0q7zhOr3sVgUhTmlvveWhQXzbZ4U1HGFSn61+kc+Uu3r/i09C3xC0zRJ4fzy+IBrIepNgVr0PZ0BuJ4rNM+B2SmqVVfCLALJ84SOhJjH5CcA+BCAHzPGfCaAtwH4JgBPt9Y+DgDW2seNMU+TNjbGvAzAywDg4Ycf7mTQpCVdxIHb5Iy2JZQbGiGsJ7gSc0O9bsmETlWzxVIf6dKm2BXpMlQq48sHi/mOGI7fJmizx0asmIvNA9WIXfUoRFu7HRKqfqinLK7KeB6+WZat50qWdukLP386JIermPfFZ4p9lZwTUsW9E6V+2N1V8vt9JefCA3PBuyANOJS3u+XiMwPw2QD+mrX2zcaYV6II10RhrX0VgFcBwKOPPmobjZJ0T4oxjO2X8kMfutClYh1mYrc2EQ0ttdJ9Fnt5Ypy6of1Jfa8wWU3OLww21uNNtgXa7LHT1Yu5/1Lo3Gsp+TzSsp0x1L3wS/19pO1d+Xg5Zn1wgPlJVXwWFeTVXfjeRdfXF3nuUFJ77GlI4tUV95cv7XIJ3Lghp+T6Ds0inD/DbO4p3cNDWUH7RWmaJ2NExIzsvQDea6198+r/P4XCkH3AGPPM1Rv0MwF8sK9BkgGINSIpCZOuzadtThPQWqxOIC/bKUWsgOqQm8wTWidgU+24VgEvnUNhXNe9veo8odoBucrRtkCbvQ2khOM1tPvSr37R0PJ5YuxrSog+1CaE3Z/af+lYE1SX7cyeMatcRmf/bty4bnMOYX+oTvRJYjO21keqr3L60DsFAEUqp7RP30sKAPN52WbP8MCDD+rLc0rJpCOm9ldurX2/MeYxY8wnW2t/C8ALAPzG6s9LAbxi9ffrex0pGQ8peaOp3tCuPaCJxj02YhU6Lf8FNFZUhqJjmlCNrSuS9i3OE9qVZ5tsDNrsLaJtkUjM9qEJ52PfgLW38K5DOuV2/81aELr5fCY6AqS8yjwvHIdlLe4q0GOm3pS0sjZULTp+5051v26uUB9p5aV7y0m1OMktz+mfxMiJfcX6awB+YlU1+U4AX4vCjfJaY8zXAXgPgBf3M0QyGCmGsI3RDBmsIZft9NDmCZXI8/i8fi1sn1KYlHK5U+oFWi3bScbM1trstfQQUhCbe6Pdo1IuKJA+CbL0tisR+7YtIZWJHxyIxnWSZTg5Oa54PjVz5T9Ozs+LNm1qUn+4Mc7Ecj/JEVEWv9Pp9amWH13OhkuX6OTEW7Yzz68TWssHGzlRTxNr7b8D8Kjw0Qs6HQ0ZFylvtSkhpBR34pDLdqIqvtyynZLNlSJWUj6PFJZJzdlMtSURToPwPKExAyOjhTZ7SwnZxaZvsMtl2PvpG7fQsp1tiA3HA9Vphpw6FIzu7ORkLYXo+CQHVjOa1OFWUZKKyH20iedj29wQ/XFdXhZ//GU7p9P1cWlf9Xw+w/HJyejD7D6DuzKu2k/6kgTfoluy7eHWlGU7JbKscglSC4v6rOeJ0ft1Wt9/9swyYSdkb4mxoZWCtsTPSQNS8vSB+DzOUFTKL25KDctIxBjSLJNXepLi2wDy/LiyWzdPaLn98LDY5eHhdZuWHyq1acPX2oWhiqdwcFDobb9gSVrKM8uc4PZ2qg14JIx3ZGQ8pOQF+sQqtNBxJPE4kmU7/c2HnidUOgUt7C4ZY3+MmeDpBRKX7SR7R52wpPBsQWqOfZscH7dPv78WRwaqBU1O4bUNvcccqzzm0rbHpxnyU3lGkzJnZ8UufUHnwuH+ykn+kKU8UP+zMqFlO8s4J3PZ86k5r4txTZDn17MBZDkwO6X4JLtGH+H4FJEK9BOODxxPW7bTRwu7x5CaQhWbBgbIglSaYkQjGI4nO02XXkt6QBvS5sXetcXev1puaEpYt41HVFJ0Wu6QRJ4D0ykmLqa+2t6tIS8VB/lh98WiqnNv39bzPmND8imncHAgryPvxl0+hl9vlGXA6ekxJvPxRi13/mniwvw0eB3TNtQi7a+JAC3TtlI+ZKC9MWjLdqbUAGj9YqNQ2j5j0gS6SB0ghGw50kt8av6+NE9oike27bNDimMLBTizkxx5Pql0l+bYPDqSI1vn53plvC8I69Kd/L5+m1bQKtVj+dX9ru9xrHdhA/CRQrohJTQEdBOO9+lj2c4Asct2ag6D0MIUPjGGLCQotf1JBra8L4dbtpPsH12+uNMJ0CEpIlFDEo8pSEZMmidUCgGFnhmSGpPapTZlntDQsp2+AJUyD9xyneXDuTRUf/uU4qTQHKOSffb34YSn7/lcLoHTiNSDTbE34lMrdKIx7JAu3mLbhuO7pu74pfEWv6VqvmSdlzKmLXaosYVF2r67eJ4RUocLv/t/k0TaRKBiPZlNkF7u29rtWDUHVJbnfEpNekpvlufI86pAOzuT5wqdz9d3kWVFYZCkq7WvJkaAuiwHKfNAqswvT6jvmM/jqvg3BR8ppFuaFid1JSaHmidUcTNm3rKdoUi+1B4KeXfh5GjKUFqf7AZ1YtIXnLHCkyK1hibpS1K/tgK0zfYpxiZUsCTFxwU1Nl9NVF/uenIi7/rOnepuJW+ku4ySeIzBhd19/Xx2Jhce+evZZ9n1OvJjdRyMdFhkZ0g1elK7T2wyDbCRZTvLY5tlRbhaMjpaxEqLOPnEtjdxODTN9ScEiBOTqSKSwjOSlPSlmJu6iRj148VZVii30HyjMeNIaYusAJqdeilUeQacziqXxom58nSnrijJ73t2ptvxmGU7Q+8P/temTYGq7Wcs7P3jRArH08BtiL7C6X0s2wnEuShXbbEaOnT6fkJ7yjBji560Y1F4El/8SWIwJBDbzgVKu5xAl+lLWr/UeT614iaJNt5PbbzaPKF37lzPNr9qy/NZRcy5eUL9zbOsOk/odKrP1R97uTTtLHlapamipDlBxwQfKaR/miosre/QlfGp84R6yi00T6imX5uSIhRTnhv0fBJf/EliUBOjMV5L6XN6O3smtgJduvklMQfI83xK4ZPQc0CrxowRpVofaQ1Nd75ezHqWXU/NVGqunNZyWVwG36HrRGp5uqaQyJQKlLTTl6rz/eJRN54+fC5dwccJGZ4UD+dYw/Etl+10YtS3xVrYXXuDjX3pb+P4IKQpfk5nqpik8OyI1BlHmobotWNK23f1Nhtr8CSFl+eFmhPGMpuvj9mtIe+LTykrwT1e/EnqY4clnYKUB+ra/XxS18dftnNMUHwKsDJ+APoqOEqhbDG6fEWMOBfnDfWdA6EwuBDNjz50qtCMORYhPpq4dO11NrS8fYxQZbX8QIS8obG2M9ajClTFapPnQ8yxpBh2ub302STLkOczsTJdCtEfHa3nh+a5HHaX2qTha23SZV0ui2p37fTGAB8rZBzUKS+f1HB83bZOiHY9T2jgvCZZVqyjvkKbJ1R64001KKnh+JR2QhyaAIwVhuV+KUVLFJ4NaBtVctvGFCNpVYuhpMSy21DbvknCpD+u8t+hfazmCb05v+7r5gn1K+ClpYudEC3nhwLFxPV+X/dv6Vmg5XtKopY5n4TE0EUcuMtE+1RCuaERwnqCKzE31OuWTOhUU7Q6PaBkCOjFHJBYMZfitZSQVj1K3Udbux0Sqn6op+yyLOPNHyrlhjr86Zr86ZAcl5fVdCutsEg7FUmXSxX3Y4KPkwRYGT8AKcYwtl+KAJXe4vvM2q4YdHlFihQbrT0jYi5D6DhjNmRkePoSiSmh+S76kRJdvZj7OfUu8TAl7C4t2xlD3Qu/1N9H2l5a2/LgAPnJsTghvS/+suzay+n39T2UdfmhMY7aMYfcAYpPMnbaTgcS+qzNFCEaHcwT6i/bKc0TGgqpxC7bGfJoxuaikv2iycTwXRyrTJMQfmh/xCMlHK8hiUdgXbiFxKQ0p1HKsp2xIfpQmxB2f2r/pWNNANz01Ge2WtayvAs3TDdfaHm4fl/pUO7/0qpFKYVMY4HisyX0ho6IlLzRIcPxEonGPaX4VMvVl4pPY6ssGXInDmm+T+B61SL375R9xRYOle1tqDBJaqNdTqBtQWjM9qEy7ITceTUlIHYfsf2kuZYUoZuvVk3yu/rLdjpNfXhYvWSaE0G7tJLDgOKTkDakGMK+quiHWrZTQJsnVENLPI8Jr1NokhB1nshUged7Uev2lTK3qAY9oB2SIvwktFzQ1EmQY6ox24ThgWrIHSjsuuCKnAA4OblZyePU5kuWpmXSplGVhqutmjRmWz7ioW0vNG49k+KhbFvR6dp9hpwndLnExAtDFVXyE9HmaqtwSLo8xcEw5rdoMg7GYPuaTGZPagjZxZSwjN9PCqVLx3R9JYOlFQfFEhuOB4qkzfK4XAWREC6anVSX7VyeVldOki6V07NSiN0nNE/omG02xWdPMBzfM9ueiBjyhkZ6ErRioZSMgr4cxWQ/qfNCps7j2SVjEMZ7QRd5+il9peImSQCnGrdYQ6ot2ylsn+cz0bz7utqF4f1lOyUngtQWOoWxQPFJtpemlfFa36Er41OX7fSIXbZTSktqYofHHMIh4ySUd9mVEEyZjL7NPohHao592+maJJUlTXLpjuEXNEnLfmqEQu/+GO7e1YunvOKk49MM+en1jCbaYZzH06+On06LP36I3t+XFoofE3yckN2hj3B8KLQk0Uc4PnBesct2anmgGinheELqPJp1Kx+1IcaTylB8T6S+2DcN0WvHynO52l0jJbVK6xNRcCSOJcuA6RSTo6OnmmYockP93TqdLJUa+DrXhd0lez7mineKzwFhKH4Auo4jp3pDgXbFSRIho+2NoRCj678z5zDQnA5SlSTD8SSFJoVCoXagfulMv522dIeQXuJTHAaSGJSKmyTngualTcF5WH1FeXlZ2e8su0KeTyqHk1Jcj46qOf2ur394Z/fHGrEa6bAI6YiU0BDQT8Jk23lCE72h/jyh2rKdWsQqdp5QQlJJ8XTWzSfaVGymeGZJA1KKPDUkt1/K8SU3oCtukpbt9LePrbqUvKFuH+W/gWvb7ivF1bKd5b5u2U6/4EgSk7dvF3+XT8OlocYULG0Kis8NI3lDAb7Fd0oXMeMYoTlkbLruOKXxFr+lSeUUQknqY31bJuOjiaCM2VeqSIydY7TOMxsqkiKRtAmdtDU+IQO2WFSnS+rCy6m1+2El35Hg1KQngGd5jvm8utqdW2TJx88NzbIiFXXMeZ98xJD9oGlxUldicoh5Qst44868ZTtD9rlpShTZL5woa5LLGbN6UerqRiFRmiIeOTl9DzRJX5KImSEkJF4lOxwrdlPD8VK/i4t1z6fb59lZRRTnebz4vHEjuuB+NFB8kv2k7XQgmkKLVW5tC5MSmQBrY5tlRXGSlqsfk39EiMaYCnwoHkdC25xNn3JovumynVlWzBMaWm2pbmzSOYXapKma/P2en2N2WnhA1zidVQ7vQuvl6U7dJRhzBGvEQ9tvWJw0IvoKp6cK0FhiK4ug21EWHJEyoXB407C0FlYHZFvnL+OpbeuoW7YzNkwvnXuojWH6AF2mL2n9tHk+peO5ULhU3KTR1PNZ5/31i5OEyfPzvDpJvcvT99sOD4s/IS2+SSg+yf6SorDaGM2+KuNT5wn1Koti5wl1bWPOHyL9IoXD6wqCUvYZaguNIXZ/qceqO24f14OU0Kbn0F6sy4RC6doqSX7VZSopUzVJ7b7QdHbcraC0Gucsy3BycrzW1aWMlne/XPbj1+gSik9CHCkezrGG41OW7UR1ntCUZTsJ6QN6DveIkF2MCcc3qY6sm96jq1h1bDhemowzz4Fbt0SjO5uvn/MDJzmWy0lFfLaZMGAIKD63CFbGD8Aux5sjQ1m+rh6yiJ9sP03EYzkE3lXh0FjY1nFvBSFvaBvXX+xUIF15SbXnjjS1k1BFn+ezSmQqz8ftMKD4JCTEJuYJbbNsp+vX8bKdLDgiQFwVe6h/TJW7Rp8Crsu8Vf/zLo6zV7SNKqV4Q13M2u8fyjHy5wmVyspj5wnVjifNE6rt4+ICN09PxamZWHBEyDazjfOE9rRsJ9lvUkViaNqiLoVY3ZygdcdqOq6214MopEyNp9m1GOUlrXokHT9EW1seEqT+OKSq/FXqwJrNFnJDxwbF5w7AyvgB6Hqe0NTipDbeUI2Qga4Y9OpbNSE+m7I7KXOGpgjRPsZFGtDVi7mfU+/EXEwhk+vn22KpnDzkkU05Dz//SVieE8tlIVTLwvTgAPnJMebz8UasKD4JaULb6UBCn8UK2D6W7VSYoLpsJyFjoWtvJRkhKeF4Da0Kp+k8oa5gSZqqSQqlS97MLuYJdfsvHWsC4OZ8Lp7GGODTZEdhcdKISMkb7TscX0db405IJPQwkmTaFoTGbF834XxsNWbKdFExAjQkvn1RqwndETHekREydrqeJ7QJQyzbOda4Ddk6NlVwk7Lc55BjZAFSS1LSl2LnCW0yhjZ0kRs6na7b/oOD66WPRgrFJyFdsYfzhBJSZsh8yhRSlvvscoxjvR47RcyiGq49RijWTZBZN0+o65OybKc2jpS28rjc5PQjtuUUn3sGi5N6pgsB2pY2y3aGvKEjNmRkeCRhlbJUZRfH7+KYoc9jj6HtZ8jrQWroIk8/pa9mh2MdCRqx4fjQSk8jYLwjI2Rb6Tocn1oZDwyzbCfZa5oIq6ZCq82+YryebeYfje3b5fUgAVJz7NuG47NM3q+fc+mOIRU0xU6knDJ/6N27xbHaeF97hE8TQvqmj3B8KLQkwXA8GZguJ23vW6QNIQL7mMSeKKQuANJmonpNOPrbN3l5TxGkfiEUC47I2GEofgC6Ljga2htKyACk2J19EGa7fn6jJTTfcqzdjBW0zhMas2znkDOf9AzFJyGbYBPLdvq0nSeU7D1t8iljPg/RZ2GQNq6+z3cfBPXG6KrIM2aGEO340rKdbp5Qf9nO2DlBpXZtTtARQfFJRFIS7UlDtnHZTkJKhJa0lD6v2z60rz6JXQEp9Xy29XrsLG0iUF1MqaTtY7Go5ma2tdsjt/kUnySIH5Kn8euYoZbt1GAonnSINldmE+HUxPMokbpNl+vPj/F6kBJN0pckYmYICYlXyQ7Hit0my3aOgKizM8Z8C4CvB2AB/BqArwVwDOA1AB4B8C4AL7HWPtnLKAnZF7patrNMn/OEklGyaZvdV1V3k/10IR7bMqbrQTy6WrazjBOTTZftTJ0nVCuaGjHyGowljDHPBvCNAB611n4GgCmArwDwcgBvtNY+F8AbV/8nO84VJpU/ZEP0VcnYNKeJjIKhbXaXNmBIe9LXsbb1euw1brokadqkrrafTqv9tP5ZJtthqX/TMW+Y2F92BuDIGJOheHv+PQAvAvDq1eevBvBlnY+OkH0kxRDG9E1tBwrDV/5Dto3BbLabJ1Oi3B4SUlKOeazwairQYieOd/uPPc62Xg8SgSYUpTbNhkriM8/l9qOj6z8HB9cCNs+v/2iCduSCtHZ01tr3GWO+H8B7ANwB8AZr7RuMMU+31j6+6vO4MeZpPY+VkP2kj3lCAYbjd5RN2OyYAp3UZSa7mkS+DU2X3dzV67E3hOxiTFpTk0U5/KmW/PlDRy4mU4kJu9+P4o354wE8C8ANY8xXxx7AGPMyY8xbjTFv/dCHPtR8pGS0SKF4vn13zBa90ZLN0rXN3vS9XPY8xoylSw+h1GefrweJJCWUnrpf36Pq8kK37PkQM8o/CeB3rbUfAgBjzOsA/DEAHzDGPHP1Bv1MAB+UNrbWvgrAqwDg0Ucftd0Mm5A9ZxPzhDL8vi10arO78KR1MZ9n156/ummRtH3ty/UgHm2jSineUG2eT2meUIc/T+hyOeqio5gr8R4An2OMOUYRwnkBgLcCOAfwUgCvWP39+r4GSQgR6CMcz3lCd4HR2extEDZDjnEbrgcRaPNi79pSBGhMW4gR2+2YnM83G2N+CsCvAlgCeDuKt+I5gNcaY74OhbF7cZ8DJdsHl+0cgJTpNdos30YBujVswmY7T17T+SzL/ZrO5QkgOIYhF87g9SBJSDn1moCVkFZeurwcdQg+amTW2u8C8F1e810Ub9SEkLGQMk8o0C4cT0bL0DZbCwWnhHydKCqLrtA+tNWDtDG0EXOp8HrsEV3NE9omrckvTnJtIy4S5dOEDIqW1E7jNzK2bMJi0i+aJ0/rC8het7ptyscK9fFFmebJS/XySceW9sHrQXu9Rlt7qW0fO8m8xMhtNsUnIbtGbF6S1HfkBotsBs2LVlek06TYJdVrGCrAkQRfqnCS9s/rQYKkpC+lhNdTxzBixj06Qkg3tF22c+SGjGyGbRAiKWNsez68HuQptBf7plXwqaF5KRQ/IjixFxkFnCd0RFBokhKp96PWX7q3/X6hbUPHC41BOmbsZynnFxofrwdptNJcTD9pns8tsOHjHyEhpBuaVsbX9SU7jZZvWBf2rWuPnVcz1K59Fhv6ju1XHiuvR/31IIlo3tCYcPxiIbeP3PNJ8UnIvtLFPKFkL+lCcAwlWoYYK68HiSJ1ntAulu0cKfSVk9EiheIZ3umYLQvVkO0k9r6t69fl/b9JW8LrQRqh2egtXH2OTxtCyDWpy3aSvaPJVDtNqrxTwtBtx9Rm+iBej/bH3mvaLtvp2rdMgPJpQghZhyF2EiAkLDYlPLqsUk89B16Pbo+9l8Tm2Pc1LdMGoJ+dbB0MxQ8Aw/Gkhpjq57pK6dD+3JyUKfvQ9tVkTKnH5fUIH7N8XNrsGrqyuSP2hvKpQgiph95Q4iF5x7SwcIw3rK5Ku433TdpPXSV5ajU3r4d+TO16kABjWLazRyg+yU4gvUnT0BEyDH3da37INyYEPIacQ16PdTZ9/K2l62U7R8R4R0YIGRcjNmSkX7oSMH3kD5b32WScoW3cS62/f16Pfq4HaUjssp0jgk8TQgghQboSFl0WwkhtTfYf2qZN2LztsZtuv83Xg9QQmid0y+YEZdYv2Vk4Tyghw9DHfJQpRTldH7+tneD1SNuedrkHRiw8AXo+CSGEtKTO89W1B87v0/b4fti4D49kyudNt9mn60FWbOnczHzdIIQQorINq+i03a9fxNPnsfraV5f73bXrsfP4U+ONWHQ6+E2TvYOheEK2n/J928Rzpt332+qF4/Ug2wSfuoQQQlS6FB9NKq+72ldX2/N6dHvcvva194zc+znu0REyEHzrJ2Q4/Cl6tKl6UqYW2uZpf3g91tmFcxgFIxag9HwSQgjplLpUFl9QxAqL0GISMSKl6ZKUfVd783qs0+X1IOOE3xQhhJBOSanMjiXG+9VlVfWQ1d5NjsHrsQ69o9sFxSchAVicREiB/9uX7oXQ/dG2anpoYSF5+kLeP16P/boepB18khJCCKlFW90m1FYWKU28cG1e9roUM1L4l9dju68H2Sz85gghhPSCL1JSxUIbb9YYJzbn9ZCPuYnrQTYLxSchiXDZTkJktPvAtcesrFO3L6n/WCc65/WI29c2XQ/SDfxGCCGEdIImHmI9VKlFLanV0BptJ2jX4PVYZ1uvB+keik9CCCGjYRNeqjGLE16PdejF3A34LRLSEQzFk32ir993Sui1i35dbcvr0d3xQozhepD28OoTQgiJoq9wbN2xyjQJ0Yb21+YYvB7r7Mv1IO3h1SakR+gNJbuGNJ9jubCjyao5sYUh0n0UO59k01Vy6s6J1yO+/y5cD9IN4134kxBCyKiom7sx9QHuF4TU7St27sjQOOo+j5mvMnY8vB67dz1IN9ANQ8jA0PtJdpUx/LbHNJ8lr8c6vB7EsflfAiF7CMPxZBepy6NLnaexS9oer8n2vB7r7PL1IGnwahNCCOmFUMi2Kw9T7GTjdaHWOia4ai1QeD2q+9D+v23Xg6TBK0oIIaQVTQo8Qu0pONEQ2ldXodYmRTq8HvtzPUg8FJ+EjASG4sm20qQQJNQO1Fc4++1jEgi8HuvwehAfPt0IIYQMQpO5JZsIk9QxbOpFj9ej+XH34XrsMryihIwYyRtKQ0jGRBPBELOvVBEQe2/Ued5CRTAx8HpUxxHLPlwPUsCrRgghJBn30JUe1jGTgUs0Dc+6z5qMpe4YqXmNvB7rx+H1IBIUn4QQQjplTAUcYxAHvB5pY9i367GPUHwSsoUwFE+GJBTubPrb08KmoQKSUJGJdD/E9E8Zp7Q/Xg9eD//foTba6gIur0kIISSIFO6sK/hI2WeoLTSG2P2lHqvuuLwe+v54Pfq5HrsGJTghhJDRQM/QOrwe6/B67Ab8FgnZEVgZT8ZAk99c+beqeYa29bfM67EOr8c62zrutuznWRNCCEkmtUo5Nv9Pq0T2+/RFl3mJoc95PXg9Qp/vkxDdnzMlhBDSipgHfCj3LjRfYhu0gpHYYzUdF6+Hvl1MH16P+lzVXYXik5Adh6F4MhSbenjWFYykiIcuz4HXo799tT3uPl+PMWCstcMdzJgPATgH8MRgBx2WU+zmufG8to9dPLfnWGsf3PQg9omVzX43dvP3BPC8tpFdPbddPC/VZg8qPgHAGPNWa+2jgx50IHb13Hhe28cunxsZnl39PfG8to9dPbddPS8Nxt8IIYQQQshgUHwSQgghhJDB2IT4fNUGjjkUu3puPK/tY5fPjQzPrv6eeF7bx66e266el8jgOZ+EEEIIIWR/YdidEEIIIYQMxqDi0xjzhcaY3zLG/I4x5uVDHrtLjDEfZ4z5JWPMO4wxv26M+aZV+wPGmF80xvyn1d/3b3qsTTDGTI0xbzfG/Nzq/7tyXifGmJ8yxvzm6rv73F04N2PMt6x+h//RGPPPjTH5LpwX2Ty02dsBbfZ2QZs9oPg0xkwB/CCALwLwaQC+0hjzaUMdv2OWAL7VWvupAD4HwF9dncvLAbzRWvtcAG9c/X8b+SYA7yj9f1fO65UAfsFa+ykAPhPFOW71uRljng3gGwE8aq39DABTAF+BLT8vsnlos7cK2uwtgTa7YEjP5x8B8DvW2ndaa+8B+EkALxrw+J1hrX3cWvurq3/fRnFDPBvF+bx61e3VAL5sIwNsgTHmIQBfAuBHSs27cF43AfxxAD8KANbae9baW9iBcwOQATgyxmQAjgH8HnbjvMhmoc3eAmizt+/cQJs9qPh8NoDHSv9/76ptqzHGPALgswC8GcDTrbWPA4WxA/C0DQ6tKT8A4K8Da+t+7cJ5fQKADwH4sVV46keMMTew5edmrX0fgO8H8B4AjwP4iLX2Ddjy8yKjgDZ7O/gB0GZvDbTZBUOKTyO0bXWpvTFmDuCnAXyztfajmx5PW4wxLwTwQWvt2zY9lh7IAHw2gH9orf0sFMu8bn1YY5UX9CIAHw/gWQBuGGO+erOjIjsCbfbIoc3ePmizC4YUn+8F8HGl/z+EwtW8lRhjDlAYsZ+w1r5u1fwBY8wzV58/E8AHNzW+hnwegC81xrwLRYjtvzLG/Di2/7yA4vf3Xmvtm1f//ykUhm3bz+1PAvhda+2HrLULAK8D8Mew/edFNg9t9vihzd6+c6PNxrDi8y0AnmuM+XhjzAxFgu3PDnj8zjDGGBR5KO+w1v790kc/C+Clq3+/FMDrhx5bG6y132Gtfcha+wiK7+dfWWu/Glt+XgBgrX0/gMeMMZ+8anoBgN/A9p/bewB8jjHmePW7fAGKfLZtPy+yeWizRw5t9laeG202Bp5k3hjzxSjyU6YA/rG19vsGO3iHGGM+H8AvA/g1XOfZfCeKHKLXAngYxQ/sxdbaD29kkC0xxjwfwLdZa19ojPlY7MB5GWOehyIpfwbgnQC+FsUL2FafmzHmewD81ygqet8O4OsBzLHl50U2D2329kCbvT3QZnOFI0IIIYQQMiBc4YgQQgghhAwGxSchhBBCCBkMik9CCCGEEDIYFJ+EEEIIIWQwKD4JIYQQQshgUHwSQgghhJDBoPgkhBBCCCGDQfFJCCGEEEIG4/8H1rliLkEa1KEAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -575,7 +577,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 15, "id": "bd15bd94", "metadata": {}, "outputs": [ @@ -585,13 +587,13 @@ "Text(0.5, 0, 'angle')" ] }, - "execution_count": 19, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -623,27 +625,35 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 16, "id": "a819e11b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(68, 60, 100, 100)" + "(68, 60, 100, 120)" ] }, - "execution_count": 20, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "syn = bg.filters.convolve(rc, w_bank)\n", + "syn = bg.filters.convolve(rc, w_bank, axis=1)\n", "\n", "syn.shape" ] }, + { + "cell_type": "markdown", + "id": "83b1e229", + "metadata": {}, + "source": [ + "Notice that the time axis has moved back to dimension 2 as a result of the wavelet having two dimensions: its frequency dimension is now in dimension 0 of the array." + ] + }, { "cell_type": "markdown", "id": "1dd2e5a5", @@ -654,23 +664,23 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 19, "id": "411eb9f9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 23, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -695,7 +705,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 18, "id": "8df3ca4e", "metadata": {}, "outputs": [ @@ -705,13 +715,13 @@ "Text(0, 0.5, 'frequency')" ] }, - "execution_count": 40, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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" ] @@ -735,9 +745,23 @@ "source": [ "Not surprisingly, we only see amplitudes here at low frequencies (it's the middle of the wedge). Interestingly, we also need far offsets." ] + }, + { + "cell_type": "markdown", + "id": "0d2d4b67", + "metadata": { + "tags": [ + "hide" + ] + }, + "source": [ + "---\n", + "© 2022 Agile Scientific, CC BY" + ] } ], "metadata": { + "celltoolbar": "Tags", "kernelspec": { "display_name": "bruges", "language": "python", @@ -753,7 +777,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.9.10" } }, "nbformat": 4, diff --git a/docs/_userguide/Wedge_models.ipynb b/docs/_userguide/Wedge_models.ipynb new file mode 100644 index 0000000..633e35e --- /dev/null +++ b/docs/_userguide/Wedge_models.ipynb @@ -0,0 +1,1058 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "corporate-inspector", + "metadata": {}, + "source": [ + "# Wedge models\n", + "\n", + "Let's make wedge models!\n", + "\n", + "We're going to make **all sorts of models** using one magical function. Here's what it can do:\n", + "\n", + "- Layer-cake models with no dip.\n", + "- Wedge models with arbitrary thickness on the left and right.\n", + "- Clinoform models.\n", + "- Models filled with arbitrary stratigraphy, from constant values to well logs.\n", + "\n", + "All these models can have varying amounts of rock above and below them, and can be extended left and right beyond the wedgy part. You can also dip the wedge in either direction.\n", + "\n", + "**This is a new feature introduced in v0.4.2; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**" + ] + }, + { + "cell_type": "markdown", + "id": "french-swing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## The default model and a basic synthetic workflow\n", + "\n", + "We can produce a simple wedge model just by calling the function." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "changed-graphic", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import bruges as bg\n", + "\n", + "w, top, base, ref = bg.models.wedge()\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "17feb546", + "metadata": {}, + "source": [ + "The function returns the following:\n", + " \n", + "- `w`: the model array.\n", + "- `top`: a 1D array containing the index of the wedge top at each trace.\n", + "- `base`: a 1D array containing the index of the wedge bottom at each trace.\n", + "- `ref`: the number of the trace with a reference thickness of 1. This is only really useful if you're making the wedge from well data (See below)." + ] + }, + { + "cell_type": "markdown", + "id": "81ac690b", + "metadata": {}, + "source": [ + "The array contains only the integers 0, 1, 2 by default, but you can easily change this. Let's see how..." + ] + }, + { + "cell_type": "markdown", + "id": "qualified-formula", + "metadata": {}, + "source": [ + "## Alternative workflow\n", + "\n", + "In the last example, we made an array of integers, then used indexing to place rock properties in the array, using the index as a sort of look-up.\n", + "\n", + "But we could make the impedance model directly, passing rock properties in to the `wedge()` function via teh `strat` argument. It just depends how you want to make your models. \n", + "\n", + "The `strat` argument was the default `[0, 1, 2]` in the last example. Let's pass in the rock properties instead. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "afa65ef5", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "vps = np.array([2320, 2350, 2350])\n", + "rhos = np.array([2650, 2600, 2620])\n", + "\n", + "impedances = vps * rhos\n", + "\n", + "w, top, base, ref = bg.models.wedge(strat=impedances)" + ] + }, + { + "cell_type": "markdown", + "id": "0a05af2b", + "metadata": {}, + "source": [ + "And look at the result:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "f945d77c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(w, interpolation='none') \n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "international-domain", + "metadata": {}, + "source": [ + "Now the wedge contains rock properties, not integer labels." + ] + }, + { + "cell_type": "markdown", + "id": "radical-listing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## A layered wedge model\n", + "\n", + "We can modify the stratigraphy of any layer. E.g., let's pass `(1, 2, 1, 2, 1)` in as the wedge strat, instead of just `1`. We'll also change the bottom layer to a `3`, so now we have 4 rocks." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "hidden-phone", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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WGADcbmZnA2uBUwHcfYWZ3Q68DHQDP9SkjIj0Kkdtmy1rVgAwcvKM1O+rr3QSk4hkV0ZPkirSnLuISOtp2qbP2u8nFpF8ylHbJgsU7iKSLwWYtmkFhbuI5JfaNjXpgKqIFEsL3pJ42/ubARgyfHQiJfdVvQOqCncRKa6MTtskReEuIpLgSVKbO54DYPRBh6VWbiM0CikikuC0zTsvl97kNnS416NwF5H2ksC0zVU7utmY8YOwasuIiEBzbRvgjYGDGDxsVEtKq2X/re+oLSMiUlczbRvgwB3dsPWd1tfZoAGhCxARyZRy2+Yf98KXT2Hntfvi3xiGDwxdWHO05y4iUkuTJ0llicJdRKQR8bbNxh3wQf2To1ri6LU1r1K4i4g0w4zrH/0QgDP/KrsnOqnnLiLSpBsXbuXGhVtDl1GXwl1EpIAU7iIiBaRwFxEpIIW7iEgBaVpGRKRJ9960X+gSeqVwFxFp0tCh2W96ZL9CEZGMufr6LVx9/ZbQZdSlcBcRadIdi7q4Y1FX6DLqUriLiBSQwl1EpIAU7iIiBaRwFxEpoEz8mz0z6wJWha6jAWOB7P7rlc+ozmSpzmTloc481Aiwv7vvVe2KrMy5r6r1fwCzxMyeVZ3JUZ3JUp3JyUONvVFbRkSkgBTuIiIFlJVwXxC6gAapzmSpzmSpzuTkoca6MnFAVUREkpWVPXcREUlQ8HA3s+PNbJWZdZjZ/IB1TDSz/zOzlWa2wszOjZZfamZvmtny6GN27HsujupeZWbfaGGta8zsxaieZ6NlY8zsITN7Nfo8OmSdZjYtts2Wm9lWMzsvC9vTzK4zs41m9lJsWdPbz8wOjx6HDjP7DzOzFtR5hZm9YmYvmNlvzGxUtHyymX0U266/DFxn049zoDoXxmpcY2bLo+XBtmdi3D3YBzAQWA0cAAwBngemB6plHDAzurwH8AdgOnAp8JMq60+P6t0NmBL9HANbVOsaYGzFssuB+dHl+cDPQ9dZ8Ti/Beyfhe0JzAJmAi/1Z/sBvwf+DDDgAeCEFtT5dWBQdPnnsTonx9eruJ0QdTb9OIeos+L6fwV+Fnp7JvURes/9SKDD3V9z923AbcCcEIW4+3p3XxZd7gJWAuPrfMsc4DZ3/8TdXwc6KP08ocwBbogu3wCcHFseus6vAavd/Y0667SsTnf/HfBulftvePuZ2ThghLs/5aXf+Btj35Nane7+oLt3R18+DUyodxuh6qwjU9uzLNr7Pg24td5ttKLOpIQO9/HAH2Nfd1I/UFvCzCYDhwFLokU/iv4Mvi7253rI2h140MyWmtm8aNk+7r4eSi9UwN4ZqLNsLrv+0mRte0Lz2298dLlyeSudRWnPsWyKmT1nZo+Z2VejZSHrbOZxDr09vwpscPdXY8uytj2bEjrcq/Wqgo7vmNlw4NfAee6+FbgaOBD4ErCe0p9uELb2o919JnAC8EMzm1Vn3aDb2MyGACcBd0SLsrg966lVV+jtegnQDdwcLVoPTHL3w4DzgVvMbATh6mz2cQ79+H+XXXdAsrY9mxY63DuBibGvJwDrAtWCmQ2mFOw3u/tdAO6+wd13uPtO4Fd81ioIVru7r4s+bwR+E9W0IfqTsfyn48bQdUZOAJa5+wbI5vaMNLv9Otm1JdKyes3sDOBE4PSoNUDU5tgUXV5KqZd9cKg6+/A4h9yeg4BvAwvLy7K2PfsidLg/A0w1synRHt5cYFGIQqKe27XASnf/t9jycbHVvgWUj7QvAuaa2W5mNgWYSulAS9p1DjOzPcqXKR1geymq54xotTOAu0PWGbPLHlHWtmdMU9svat10mdmfRs+d78W+JzVmdjxwEXCSu38YW76XmQ2MLh8Q1flawDqbepxD1Rk5FnjF3T9tt2Rte/ZJ6CO6wGxKkymrgUsC1vEVSn9evQAsjz5mA/8NvBgtXwSMi33PJVHdq2jREXNKk0XPRx8rytsM2BN4BHg1+jwmZJ3R/Q4FNgEjY8uCb09KLzbrge2U9sTO7sv2A46gFFqrgauITgpMuc4OSj3r8nP0l9G634meD88Dy4C/DFxn049ziDqj5dcD/1CxbrDtmdSHzlAVESmg0G0ZERFJgcJdRKSAFO4iIgWkcBcRKSCFu4hIASncRUQKSOEuIlJACncRkQL6f94IMUqO/J9jAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(100, 600, 100),\n", + " width=(200, 1600, 200),\n", + " strat=(0, (1, 2, 1, 2, 1), 3),\n", + " mode='linear'\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "sticky-playback", + "metadata": {}, + "source": [ + "Notice that the `wedge` function returns 4 things:\n", + "\n", + "- The wedge model as a 2D NumPy array of ints (or whatever numbers you gave as input).\n", + "- The top horizon, in pixel index units, for convenience.\n", + "- The base horizon, in pixel index units, for convenience.\n", + "- The horizontal (left-right) position, as an integer, of the 'reference' model. You may or may not be interested in this, depending on your application.\n", + "\n", + "If you only want the wedge, you can call the function like so:\n", + "\n", + " wedge, *_ = bg.models.wedge()" + ] + }, + { + "cell_type": "markdown", + "id": "protecting-credit", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## A layer-cake model\n", + "\n", + "You can provide the minimum and maximum thickness of the wedge.\n", + "\n", + "**Note:** If the maximum thickness of the wedge if more than 1, then the total depth (i.e. number of rows) of the model will be more than the sum of the `depth` argument, so that the entire model can be accommodated. If you don't want the 'extra' depth, you can slice them off the model as with any NumPy array.\n", + "\n", + "Here's a layer cake:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "frequent-dominant", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", + " width=(10, 80, 10),\n", + " strat=(0, (1, 2, 2, 1, 2, 1, 0, 1, 1,), 3), # Floats in the wedge\n", + " thickness=(1, 1),\n", + " mode='linear',\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "unsigned-parks", + "metadata": {}, + "source": [ + "Here's another example. We can reverse the wedge direction by passing in (1, 0.5) for the thickess. As a result, the left-hand-side is the maximum thickness of 1, the right is half the thickness.\n", + "\n", + "This time we'll also pass in floats — velocities perhaps." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "reduced-modeling", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", + " width=(10, 80, 10),\n", + " strat=(1.48, (2.10, 2.25, 2.35), 2.40), # Floats in the wedge.\n", + " thickness=(1, 0.5),\n", + " mode='linear',\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "cb = plt.colorbar()\n", + "cb.ax.invert_yaxis()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "outdoor-edmonton", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Top and bottom conformance\n", + "\n", + "The layers in the wedge can also be top or bottom conforming, rather than proportionally adjusted." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "elementary-leeds", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "confs = ['both', 'top', 'bottom']\n", + "\n", + "fig, axs = plt.subplots(ncols=len(confs), figsize=(12, 4))\n", + "for ax, conf in zip(axs, confs):\n", + " w, top, base, ref = bg.models.wedge(strat=((0, 1, 0), (2, 3, 2, 3, 2), (4, 5, 4)),\n", + " conformance=conf)\n", + " ax.imshow(w, interpolation='none')\n", + " ax.axvline(ref, color='k', ls='--')\n", + " ax.plot(top, 'r-', lw=4)\n", + " ax.plot(base, 'r-', lw=4)\n", + " ax.set_title(f\"{conf} conformant\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "packed-closing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Different 'wedge' shapes\n", + "\n", + "The linear wedge is familiar, but you can also have other shapes (`power` and `root` were new in v0.4.3):" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "defined-cassette", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "modes = ['linear', 'root', 'power', 'sigmoid']\n", + "\n", + "fig, axs = plt.subplots(ncols=len(modes), figsize=(15, 5))\n", + "for ax, mode in zip(axs, modes):\n", + " w, top, base, ref = bg.models.wedge(mode=mode)\n", + " ax.imshow(w, interpolation='none')\n", + " ax.axvline(ref, color='k', ls='--')\n", + " ax.plot(top, 'r-', lw=4)\n", + " ax.plot(base, 'r-', lw=4)\n", + " ax.set_title(mode)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "capital-analyst", + "metadata": {}, + "source": [ + "If you're feeling creative, you can also give `wedge()` your own function (since version 0.4.3). Your function should have an API like `np.linspace()` (the function that produces the standard wedge shape). Here's an example:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "plastic-lafayette", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def wavy(start, stop, num):\n", + " \"\"\"\n", + " Custom wedge shape.\n", + " \"\"\"\n", + " x = np.linspace(0, 10*np.pi, num)\n", + " y = np.sin(x) + x\n", + " \n", + " # Normalize to 0-1.\n", + " y_ = (y - np.min(y)) / (np.max(y)-np.min(y))\n", + " \n", + " # Scale to required output.\n", + " return min(start, stop) + abs(stop-start) * y_\n", + "\n", + "\n", + "# The wedge function will pass 'left' and 'right' thicknesses.\n", + "# You only need to worry about the case where left < right.\n", + "left, right = 1, 2\n", + "y = wavy(left, right, 100)\n", + "\n", + "plt.plot(y)\n", + "plt.ylim(right, 0)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "guided-secondary", + "metadata": {}, + "source": [ + "Let's use that function to make a model:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "sublime-poverty", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(mode=wavy, thickness=(1, 0))\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "exciting-completion", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Varying net:gross across `breadth`\n", + "\n", + "**This is a new feature introduced in v0.4.3; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**\n", + "\n", + "If you define a **binary wedge** — i.e. exactly 2 lithologies in the wedge layer — then you can pass a `breadth` argument to get a 3D model. The new dimension contains the 2 pure litholgies at each end, and pinches them out across the model's 'breadth'. Now the top and base are 2D arrays (surfaces through the wedge volume), while `ref` is still a scalar (the lateral position of the reference 'trace')." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "psychological-spanish", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((100, 100, 100), (100, 100), (100, 100), 89)" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(strat=(0, (1, 2, 1, 1, 2, 1), 3), # Binary wedge.\n", + " breadth=100)\n", + "\n", + "w.shape, top.shape, base.shape, ref" + ] + }, + { + "cell_type": "markdown", + "id": "framed-alaska", + "metadata": {}, + "source": [ + "Let's look at 3 slices: one from one end of the 'net:gross' axis (the last axis), one from the other end (right hand image), and one from halfway (middle image). These are the net:gross end-members." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "polish-shirt", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Rqlc066TTNaLHBdpYr3GaAgaASjCT+hbI+9SWLww6c6+UXVJ+wQdv6LyfLdfTx3fRsF79tbpRy5gds9KdqmR169Il02OlUwiUo1u+/NHW8lf2R3PdgrJLys9ctkZnLlujF3odr2FXnK13OrZKQ6BAalSvTlxpOSZdVFc+r60iQ1vIO9Qoc0qNSERfW7FYMyYM1F8WTlHLXcVpCBQAqsBMOqdAPquNIo+2knerVeaUHLkGrH5dkyfdrlvmjVW79axCABBCPfPlEwoVmVEo71s75il9lq7Ww9c+rDtunKyO732c4gCB1Ejtw7675vuSZA3AVsQRl2bujq6tfv9QzFMO5eRq2slnaGSPC7SlToMUBwhUzcqpd/EA3AyQ9lznLsWZDz7qiJmeOLGHhvfsp7UNoh2gY3WqEtUpyvSOGDK/K0iuywxpz3WSVM588FELzuqgYd/tq1UntEhhYEBivPylgTzsW7kmXVpPvqCdIve1kB8XqzN3RN9++0XNGn+L/vDCdDXdszMNgQJAFXyG+eCpE2/TP+YzHwwgpCowH3zOolV69JejNPCmaTrhg80pDhBIjuzqxJV22KWpu2R3bZN9eDjmKftz8zSlU2+N6naethXUS3GAwGfD3enMkHG5LuLSnD3RVQil5oOPOpSTo9kn9dLwHv3+Ox9ckY5Zsjo2dOtQnrd+PVp73t1IrkuzjMt17tLCfdG9EJbG78w9c/bJGvHdPlpdlNkdZ0CiExdbnknfri9/rkiRO5rL25bd5yX/yGFdsXyhZo+/WdcumqVG+3anIVAAqIIcky4O5oOHtZSfVLYzVyMS0aUrlmjGhFv1l4WTmQ8GED5H54NnFioyrpW8e9n5YEm64LkVGvezkfrXwBkqWscqBIRTdnfiSjvo0sSdsruLZRtid+b25dXUhM59NKbLudpeu26KAwTKRycuM2R8rjvi0qxgPvi9is8HV7Y7lqr5Krp32YNOXGbI+FznLs0L5oPfiDMfnGOae24njfxOH60rZJdyZB46cRVR06TvNZC/WKTIwGbyVrllTql9+KB+8Np8zR5/i36xZI7q7y/78EkAyGi5Jn21nvw/wXzw8eXPB//xhcfUbM+ONAQKAFVgJl1QR/5kG0VGt5J3jjEfHHFd+OxbmnTNcP39jtkq3MAqBIQDRVwstUy6Mijmbmoqb1G2mKtz6ICuXjZPs8ffrJ++/KTqHij7vBIAyGi5Jn0j2OzpnubyorJLymsdOazL33xeM8ffouuGPqMm21hSDiBkzKQBdeRz2yoysqX8lNjF3MXPvKnJPx6mv941R60/3p76OIHPgOWUFbEvIo3ZKXugWLblSMxTdtXM19gu52hc57O1u1bs55YAycZyyswQ2lx3yKUpwWZP6+ItKa+hSZ366OFu56q4dr1KLWFM1/b1LLesPlhOmRlCm+uObvY0aJvs3dibPR3OzdHM/l006rKztKk5j5xC+rCcsipq50g/aSh/qUiRG5vIm5TtzNU7uF8/WzpXs8ffrB+++owKDsbfFQkAMlINky6vL3++SJFBzeSty3bmah8+pCvf+I8eH3eLfr14thrsYEk5gJA5utnTs20VGdxCfmLZJeV5RyL62hOvadqPhuqP989V8y08cgqZhU5cZeyJSKN3RDtzxZGYpxTnF2hM1y9o4ql9tK9G7N2RgESjE5cZqk2uO+DShJ2ye+Nv9rSnRi1NOLWvHul6jnbk10lYtyuTHjZNBy/z0InLDNUm1x1xafpu2Z3bZKtjb/Z0MC9X07/UVaO/fZa2NuGRU0gdOnGJVCdH+kUj+ZL2ilzfWN6w7D9jo/179ZvFj+vxcTfre6/PV/6h2O16AMhYJeeDb2kqbxl7PvhHr83T7HE362cvP6l6u1iFACBkck36eon54PZlO3M1Dx/Rt2a9qsd+METXDWE+GOlX4U6cmeVKWirpI3e/2MwaS5ooqb2kNZK+5e7lbulTbe7YlLYrIo3YLhu6XbYjdmfuk9p1NarbeZrSqbcO5JVNDkAi0ImrOnJdOfZFpLE7ZfcdYz74tM9r3Gmf/+98cCI6WZnUmSuNTl3q0YmrOnJdOQ4H88F3xp8P3l8rT1Mu6qFHvnmGihvWSXGAyCaJ6MT9RtI7JT6+XtI8d+8gaV7wcXaqlyNd11i+uEj+u0byemX/WZvs263fL5qpWeNv0WVvPqeah2O36wGkHbkunto50o8rMB/8ylN6fNzNuvrVp1WH+WAgU5Hr4skz6bL68heKFLm9mbyw7Hxw/oHDumLaEk2/aoh+OXI+88FIuQp14sysjaSHJd0s6bfBHZuVks51941m1krSf9y9Y3nvU23v2JRWfEQ2dHu0O7cn9r/vpjoNNLL7+Zp+8hk6lFs2OQCVQSeuash1n9HeiDSq/Png7bUKNKbruZrQue9/54OT1bnK5G5daXTvqoZOXNWQ6z6jgy6NL38+eG9+DU38Si+N+9rntKM+u5Qjcaraibtb0h8llfwu3cLdN0pS8HvzWH/QzK4xs6VmtnTLJ7GX31Q7jXLl1zeRL2kv/2VDeUHZ7zMt9uzQn5+fphkTbtXX316kvCOxkwKAlLpb5LqKKygxH3xDY3mjst9SGh7Yq18vmaPHx92s7782X/mHDqQhUACl3C1yXcXVPPZ8cMH+Q/rBxEV67KrBumbMQuaDkXTH7MSZ2cWSLnT3n5vZuZJ+H9yx2e7uDUucV+zujcp7r6y5Y1Pa1iOywcXRO9b7Yv97b6jbSCN6XKBZJ52uw7llkwNQEXTiKo9clwAVnA8e3e08TTnlLO2vEX3gLp252OjWxUcnrvLIdQmwv8R88OY488F1amn8padr/Fd7aU+d/BQHiOqkKp24PpK+bGZrJE2QdJ6ZjZW0KWi3K/h9cwLjrV6a5sr/1jQ6M3dNA3l+2e87rXcX6+8LJ+uxiQP15RVLlBvJkrtbQOYg11VVBeeDf7dopmZOuEWXL1/IfDCQeuS6qsrPka5uKF8UzAc3jTEfvOeArhn7vGZcNVg/HP+C6uxhFQIS65hFnLvf4O5t3L29pMskPevuV0iaKenK4LQrJc1IWpTVRbM8+f81k79UJL+6gbxW2WKuza5t+r8FEzVt4m26+N2lFHNAipDrEqhBrvz3TeRLiuTXNpLXLZvrmu3dpT++OEOzxt+ib858RTUOsqQcSAVyXQIV5Eg/bSRfXKTI35rIG5f9sbr+7gP66ZjnNP0Hg3XlxEUq2Esxh8T4TA/7LtV2byJpkqR2ktZK+qa7byvvz2dt2z2ejYdl9xVLj+6QxXmM3JoGzTS0Z389dUI3RXJ4rB/Kx3LKxCDXJdi2Eps97Y39PefjOg00sscFmt7xczqcm5eypYRhX3JZWrYswWQ5ZWKQ6xJsT7DZ04PxN3sqrl9bY79xhiZf0kP782umOECEUbzllJ+piKsqvtjj+OiQ7N7i6M5HcVYWrW7YQkN79tPTJ3SVG8UcYqOIywzkuji2HpENKZYeij8fvLFuIw3vcYGe+EN7HclL/nwwRVw4UcRlBnJdHLsi0sjtsiHlzAc3LNAj3zxTUy/srgP5PD8Y8VHEhcG6Q7J7iqWJO2VxVhatatxSw3r217zjTqOYQxkUcZmBXHcMWw/L7t8uPbxDtj/296D19RpreI9+evyknjqSk0tnLoGqQ6FHEZcZyHXHsPOINGJHdLOnnbGLua2N6ujhb52p6V/qpgO1KOZQViIe9o1ka1tDfntz+QtF8svryWPchO6w7WMNenqMJky5U+d+sFxKYREOAAnRNE/+j2Czp2POB/87Oh98JPYPQACQsernSr8NNnu6LvZ8cNPiPfrd0Hma+qOhzAfjM6ETl8k+OCi7q1iauksW5+eXd5oWakjPAVpY1EkybkpmOzpxmYFc9xl9HMwHjy1/PnhYz36ae0J3RXJy0tpNyoZuXWmZ1r2jE5cZyHWfUQXmgzc1radRl/XWzP5ddLgGj5wCnbhwOq6m/N4W8oXt5F+rK4/x7eqUrR/pnrkPaexj96jv2nfozAEIn5Z58pubyV8skl9ZXx5jRVH7HVt0y7PjNHnyIA14b5ksQq4DEDKNc+U3NJEvaS//ZUN57bI/2LXYukvX3z9XU68eqq888ZpyD7NLOWKjExcm7x6U3bVNmrFbFud/2xvN22lIrwFa1KYjnbksRCcuM5DrqmhdsNnThPjzwe81aqmhPftr3vHx54OZo0utVHbr6MRlBnJdFW09LHtguzQ6/nzwhhYNNPLy3ppzfueUbPaEzEMnrjo4qaZ8cEv5s23lF9eJeUqXzWv14JzhGjXjfp2x/l06cwDCp20N+aBgPvg79WPOB59Y/LEGPROdD/4C88EAwqhpnvzGYD74xw3k+WXvS7TetEN/u/sJTf7xcF309HLmg/FfdOLC7O0Dsju2yebsiXvKqy2P14OnD9ArrU9MYWBIFzpxmYFcl2BrDkVXIUyJPx+8oklrDek1QAuKTo27CoE5uuqDXJcZyHUJtimYD34k/nzw2sJGGvGdPnrqnE6K5NKLyQZ04qqjTrXkI1sp8nRb+YDYnbkeH6/WiFmDNWzWg+q+cXWKAwSABGhfQ35PifngGN+5Tv5kg+6eO0qPTrtbfT98m84cgPBpkSe/qZl8Ufu488HtPirWPwfN1oSfjlD//7ytHDpzWYtOXHXy+n7Z7dtkz+yNe8pLhR00pNcAvd7yuBQGhlTh7nRmINcl2aqDsjvLnw9e3rydhvQcoBfblj8fnEm7LtKtqzhyXWYg1yXZ+uD5weXMB69u11TDr+irZ/t0lOfwJVEd0YnLBl3z5Y+0VmROG/kXCmKecuZHqzR6xv26//Fh6rzpwxQHCAAJ0CGYD57fVn5J3ZinnLZ5rR54YrhGz7hPZ6xfSWcOQPi0OfZ88PFrt+rWW6Zr7C8e0rkvrGTn3ixCEVcddc+Xj2utyKxC+edrxzylz/qVemT6vbr3iRHqtGVdigMEgAToWEs+rKUi89rKL4y9pLzrpg815PFhGjnzAZ3+0aoUBwgACdCuhvyO5vLni+TfqhdzSXmHNVt0202PacyvRunzi9jYLhuwnDIbLN4XXWb5/L64pywo6qTBvQZoZdM2KQwMicYSo8xArkuTNw9Ec93c+Js9vdz6BA3pOUCvtj4h5ussrwwHcl1mINelyeqDsruKpWnxN3t6p0NLDf9uXz3/uRN45FTIsZwym51RWz65UJGphfIz82Oecs6Hb2vC1Lt0x9xROumTDSkOEAASoHMt+ehWijzZRt4v9pLy0ze8r5GzHtSQ2UPU9eMPUhwgACTA8TXl97WQL2gnv7SuPEaNdsqqj3XnP6Zo1LVjdNbL79OZq4boxGUbd+n5fbJB22Qv74972jPHddGQXv31fuNWKQwOVcXd6cxArssQy4LNnp6Nv9nTi21O0pBeX9TyFkVxz8mk7lxp2dqtI9dlBnJdhlh5UHbXNtmM3XFPWX5yaw393tla0r09nbmQoROHKDPp7AL5jEJFxreW96wV87QLPnhDkybfoYHPPKLjijelOEgASIDu+fJHWysyu438nNjzwb3Xv6sx0+/VfXOGq9PmtSkOEAASoGNN+ZCWijzbVn5R7Png01Zs0P1/mahhf3hUvV5bk9r4kBR56Q4AaWImnVsgP6e2/Nm90bvVrx341Ck5cg14/zX1e/91PXliNw3r2V8fNmyepoABoJJ65ssnFMrLmQ/uu26F+q5boQVFnTSk5wCtaPa/+eDS3a5M6syVjiVbO3MAJJ1SSz6ilfytYD74ybLzwd3eWq8Hb5igV05rq2FXnK1lXdqlIVAkAp24bGcmnV9HPqeNImNayTuX7czlyHXhe8s0ddJt+uf88Wq7Y2saAgWAKqrgfPD4acwHAwixU2vJR5U/H9xz+ToN/dM4PXD9eHV5a32KA0Qi0IlDlJnUr478ggL5k3tkd2yTvXXwU6fkuuuSd5fqS6te1eyTempEj376qH6TNAUMAJXUu7Z8WqH8hX2y22LPB5+35k2dt+ZNPXNcFw3t2V/vNfnffHCYOnOx0K0DskTXfPmY1vJy5oNPf/1Dnf76h3qpe3sN/97ZWn5KYRoCRWXQicOnmUlfqit/qq0iw1vKT65Z5pQ8j+irK1/WYxMH6u8LJqrVrm1pCBQAqsBM6lux+eDJU27XwKfH6Pjij1McJAAkQAXmg89ctkYjf/uI7v7bJHVaySqEMKATh9hyTLq4rvzCOvLZu6N3cFYd+tQpNSIRXbpiiS5+d6lmdDxDI7ufr4/rNUpTwABQCSXng+fvje7cW2o+WJIGrH5d/Va/obkndtOwHv20plGL/74Wq7OVSd250pijA7LU0fngJcF88HNl54N7L12t3ktX67nPnaDhV5ytFR1apiFQVASdOJQvx6Qv15PPb6fIgy3kJ9Qoc0qNSETfeGeRZky4Vdc/N1XN9uxIQ6AAUAVm0nnBfPAjreSnxZ4P/tJ7yzRl8iD969lxarcjcws1AIjrc7XlkwoVmVYoPyv2fPDZS97XmF+P1qB/TlWH99mlPBNRxKFick26tJ58QTtF7mshP65sMVczckTffvtFzRp/i/7wwnQ13bMzDYECQBWYSRfUkc9to8joVvLOZZeU57rr4lWvaOrE2/SP+RNUuPOTNAQKAFV0Vm35tDaKTGkt/1yczZ4WrdKjvxylgTdN0wkfbE5xgCgPD/tG5Rx2aequ6MMlPzwc85T9uXma0qm3RnU7T9sK6qU4wOzEA3AzA7muGom49ESw2dM7B2OecthyNKtjLw3v0U8b6zWOeU4mL6+siExbckmuywzkumrEXVoYLLNcWnazp6OeOftkDf9uX31Q1DSFwWU3HvaNxMoz6dv15c8VKXJHc3mbsuOV+UcO64rlCzV7/M26dtEsNdq3Ow2BAkAV5Jh0UV35M20VGdZSflLszZ4uXbFEMybcqr8snKKWu4rTECgAVIGZdE6BfGahIo+2knePs9nTcys0/mcj9K9/z1TROlYhpBOdOCTGQZcm7pTdXSzbELsztzevpiZ27qMxXc7V9tp1UxxgduDudGYg11VjR1yaFWz29P6hmKccysnVtJPP0MgeF2hLnQYxz6EzVzXkusxArqvG3KV5wWZPb5Td7EmSjuSY5p7bSSO/00frCmOvQkDV0YlDctU06XsN5C8WKXJrM3mr3DKnFBw+qB+8Nl+zx9+iny95QvX3l31eCQBktFyTvlpiPvj4WJs9ReeDZ4+7WX96fhqbPQEIn6PzwU+WMx8ccV347FuaeM1w/f2O2SrcwCqEVKITh+TYH5HG7ZTdWyzbdCTmKbtq5mtc57M1tss52l0r9nNL8NlwdzozkOuyyGGXpu2S3Xns+eDR3b6gTwrqx32rsHfnSktmt45clxnIdVnES8wHvx1nPjjHNOeC0/TQ5b21oWXD1MZXjdGJQ2rl50g/bChfVKTI/zWVNyvbmat3cL9+8urTmjPuJl3zylOqe6Ds80oAIKPlmfStYD74zubytvHng2eNv0XXLZqpRvt2pSFQAKgCM+nCuvKn2yoyvKW8Y4z54Ijry0+9oSlXD9P19z6pFptZhZBMdOKQGnsj0pgdsvu3yz6J3ZnbUau2HulyrsZ37qu9NWNvdYvycXc6M5DrstjR+eB7imUfxe7M7curqQkVmA+ubp25RHrr16O1592N5Lo0I9dlsYhLM3dHO3PvxZkPzsvRjAFdNfrbZ2lzs/irEFA+OnFIr4Ic6aeN5EuKFPlrE3mjsp96DQ7s0y9ffkKPj7tZV732rGofij1ICwAZ6+h88AtFigyMPR9cu8R88C+WzGE+GED45ATzwf9pp8j9ceaDD0f0jceXadoPh+r3Dz6lpp+wCiGRKOKQWgU50i8ayZe0V+T6xvKGZT8FGx7Yq98sflyPj7tZ33t9vvIPxV57DQAZq5ZJVwabPd3cVN6ibDFX59ABXb1snh4fd5N++vKTZZaUH5re7FO/ACDj5Jr09WCzp3uay9uXLeZqHj6ib816VdN+OFTXDX1GTbbxyKlEoIhDetTNkX7TOFrM/aGxvEHZT8VG+/foty/N1uzxN+u7byxQrcOx2/UAkLFKzgf/M/Z8cN1DB/43H7x0LvPBAMLn6HzwwnaK3BVnPvjgYV0+fake++EQ/Xr4s2q0fU8aAq0+mIlDZthxRDZ8uzRsh2xXJOYpWwrqaVS38zX1lDN1MK/snR4wE5cpyHWI6+h88APbZVtjzwfvrFlbj3Q9R+M7n609x5gPzta5OWbiMgO5DnEddGlS8PzgePPBtWpo8iU99Mg3ztCOBgUpDjA8mIlDZmuQK/99E/mSIvm1jeR1y35vbrZ3l/744nTNGn+LvvXm86pxJHZSAICMdXQ+eHGRIn9rIm9c9ttw/YP79IuXn9TscTfrB8vmMR8MIHxqmnRFifng1mU7c7UPHNL3pyzWjKsG62ejF6jBTlYhfBYUccgsDXPlf2oiX9xe/qtG8oKyxVzzvTt1wwuPacaEW/X1txcpj2IOQNgU5Eg/D+aD/xx7s6eGB/bq10vm6PFxN+v7r81XPsUcgLApOR98S1N5y7JLygv2H9IPJi7SY1cN1k/GLFS9XfvTEGj4VKiIM7OGZjbFzFaY2TtmdpaZNTazp81sVfB7o2QHiyzSOFf+56CY+3lDee2yxVyr3dv11+emaMaEgbr0nZeUdyT20iSgosh1SLk6OdKvGskXt1fkj/Hng69bPFuzx9+iK95Y8KnNntj8BJVBrkPK1TLpB8F88L+aypvHmA/ed1A/Gv+iZlw1WD8e+5zq7KGYK09FO3H3SHrS3U+W1FXSO5KulzTP3TtImhd8DCRW01z535rKFxfJr2kgzy9bzLXeXay/L5ysxyYO1CUrlyg3QjGHSiPXIT3q5UjXNY4us/x9Y3m9st+em+zbrd8tmqmZE27R5cufU002e0LlkeuQHvk50tVBMXdjE3nTGMXc3gP68aMvaMZVg/XD8S+ozh5WIcRyzI1NzKy+pNclHe8lTjazlZLOdfeNZtZK0n/cvWN578UALKps02HZfcXS2J2yA7E/d9fWb6phPfvpyRO760hO2eRQnbGxSeWR65BRth+RDdsuDd8u2x07120uqK+R3c/XY6ecqUO5ZedN4qkOm6GwsUnlkeuQUfZGpNE7ZA8Uy7bF3thuR718jf36GZr05Z7aV7tmigNMv6psbHK8pC2SRpnZMjMbYWZ1JLVw942SFPzePNYfNrNrzGypmS3d8gkdElRRizz5Tc3ki4rkP2wgj/G13G7nVt00f7ymTBqkL656VTmR2EkBKIVch8zRMFf+x2BJ+S8bljsfPHP8LfrG2y8yH4yKItchc5ScD76hccz54Aa79usXoxdo+lWDdcWUxcrfz/ODpYp14npJeklSH3dfbGb3SNop6Vfu3rDEecXuXu76ae7YIOE+OiS7t1gav1MWZ2XR6oYtNLRnPz19Qle5Ve+9fOjEVR65Dhlt6xHZkGLpoR2yfbG/b2+o20gjelygWSedrsO5FV+FEMbOHJ24yiPXIaPtikgjtsuGbpftiH0T/pOGBXrkG2do6kU9dCC/+j9yqiqduPWS1rv74uDjKZJ6SNoUtNsV/L45UcECFVZYQ/7v5vIXiuTfrS+PsaLo+O2b9O95YzVp8h26YPXrMqczh5jIdchcTXPlf20afQzLTxuWOx88feJAfWXFYjZ7QjzkOmSuo/PBS4oU+UNjef0Y88Hb9+raEfM1/YdDdNljL6vWgeycDz5mEefuH0taZ2ZH10WfL+ltSTMlXRkcu1LSjKRECFRE2xry24Ni7vJ68hg3oU8s/liDnh6jCVPu1Bc+WC6l8EH3yHzkOoRC0zz5jcFmT1c3kNcqW8wV7tqmfyyYpKmT/q2L3116zM2eSu9wyS6X1Ru5DqFQP1f6bbSY8+tiPz+4SfEe/XbYPE374VB9c+Yrqnkwu5aUH3M5pSSZWTdJIyTVlLRa0g8ULQAnSWonaa2kb7r7tvLeh7Y7UuaDg7K7iqWpu2RxGm/vNC3U0J79taDoVMmqx6ocllNWDbkOofPx0c2edsjijIl82KCphvbsr7kndFckp2JLyjN9iSXLKauGXIfQKT4iG7JdGrldtid27bKpaT2N/vZZmtm/iw7VrPhmT5ku3nLKChVxicIXO1Lu/YOyO7dJj+2WxflUf6tZWw3pNUDPtz059MUcRVxmINch5TYclt27TRpX3nxwcw3r2V9PVWI+ONOKOoq4zECuQ8p9EswHj4w/H7yxeX09dFlvze53mo7khX+X8qrMxAHhdUJN+QMt5f9pJ/9qXXmMb/mnblmn+54YoYen36uz1q1gmSWA8GmdJx8YLCm/It588GYNZD4YQJg1yZX/JZgP/lns+eBWm3fqL/c+qalXD9Mlc19X7uHqOR9MEYfscFJN+eCW8vlt5ZfUjXlKl81r9eCc4Ro1436dsf5dijkA4dO2hnwQ88EAqrmmefK/B/PBP24Qe7OnTTv0t7uf0OQfD9dFTy9X7pHqdeOKIg7ZpWMt+bCWisxrK7+wTsxTum1aoyGPD9XImQ+q10fvpThAAEiAdjXkd7aQP18k/1Y9eYzv9idt26g7nxqt8VPv1Llr3iy3mGPjEwAZqXme/J/B84N/FPv5wW0+3q4b73xcE38yXF989k3lVJNijiIO2alTLfnIVoo83VY+IHYx1+Pj1Ro+e7CGzXpQ3TeuTnGAAJAA7WvI72khf66d/Buxi7mTP9mgu+aO0qPT7lbfD9+mMwcgfFrmyW9qJl/UXn5VA3mMx8e1+6hY/xw0W+N/NlL9//N26Is5ijhkt8615KNbKfJkG/kFBTFPOX3D+3po5gMaPHuIun78QYoDBIAEOL6m/L4W0fngS2PPB3faul73PTlSY6bfq95ry58P5rEEADJS6zz5rc3kLxbJv1c/ZjF33LpPdNO/Z2rczx/S+c+tkEXCeeOKIg6QpK758kdaKzKnjfwLsYu5Mz9apdEz7tf9jw9T500fpjhAAEiADjXlD7aUz28n/3Ls+eDTNq/VA08M1+gZ9+mM9SvpzAEInzY15LcF88HfqR9zPvj4tVt16y3TNfYXD+ncF1aGrpijiANK6p4vH9dakVmF8s/XjnlKn/Ur9cj0e3XvEyPUacu6FAcIAAnQsaZ8aEtFno0/H9x104ca8vgwjZz5QIXmg+nMAcg4bWvI72genQ/+duwl5R3WbNFtNz2mR341Sp9fFJ6N7SjigFh61ZZPLFTksUJ5n9jF3Nlr39Gj0+7W3U+OVMet61McIAAkwCkVmQ/+QMNnD9bwmQ+qx4b3UxwgACRA+xryu8ufDz5p9Wbd/s9pevg3D6vPkvcyvpjjYd9ARby4VzZom+yl/XFPmdf+NA3t1V+rmrROYWCfxsO+MwO5DqH1+n7Z7dtkz+yNe8riwg4a3GuAXm95XAoD+zRyXWYg1yG03jsou3ObNH23LE4p9GbHVhp2xdl6qedxkqUv3fCwb6AqehfIpxUqMqm1/PT8mKecv2a5Jk25Q7c9/bBO2LYxxQECQAJUYD74jGA++IHHh+o05oMBhNGJJeaD4zw/uPPKjbr3b5M08reP6IxXPsi4zhxFHFBRZtLZBfIZhYqMby3vWSvmaf1Wv6FJk+/QwGce0XHFm1IcJAAkQAXmg3uvf1djpt+r++YMV6fNa1McIAAkQMea0ecHP9tWflHsJeWnrdig+/46UcN+/6h6vbYmY4o5ijjgszKTzi2Qz2qjyNhW8m5li7kcuQa8/5qmTBqkm+eNVdH2zWkIFACq6Oh88IxCed/YxVzfdSv06GP36O4nRurkLcwHAwihU2rJR7RS5Jm28i/GLua6vb1eD94wQYP/NE7d30j/jSuKOKCyzKTz68jntFFkTCt559jF3IXvLdNjk/+tfz07Tm13bE1DoABQRZ+rLZ9cqMjUQvmZsZeUn7P2bY2fdpfunPuQTvpkQ4oDBIAEOLWWfFQrRea2kfeLvaS85/J1GvqncXrg+vHq+mb6dinPS9uVgerCTOpXR35BgfzJPbI7tsneOvjpUyLSxate0RffW6bZJ/XU4jYnyZX4IdmVCX9HACihd235tEL5C/tkt22TvVx2s6cvrHlLX1jzlp45rovmHXeaPAkbApDrACRVl3z5mNby1/ZHN7Z7tuxmT6e//qFOf/1DvdTjOM05/1QdyUlOb+zlOMfZnRJItIhLc4JibsXBY5+fQAVN27BjWwYg1yEruEsL98kGfSJ75UBKL02uywzkOmSNV/ZHc92CfSm/tEnsTgmkRI5JF9eVz2uryNAW8g41UnbpTq23pOxaALKcmXRO+fPByUKuA5BSPfPlE4L54LNjzwenGkUckCw5Jn25nnx+O0UebCE/IXXFHACkTOn54NNSV8wBQEp9rrZ8UvnzwanCTByQbLkmXVpPfkld+azdsgV7pf1JWsb8waHkvC8AHEvJ+eCn98rm7pH2RJJzLXIdgHQ6Oh/84j7ZrN3S9iTlOkmasTvmYYo4IFXygmLu0nrJu8aA9O2SBACSosVc/zry/rG36U4Ich2AdDOT+hTI+8TexTJhZrwX8zDLKQEAAAAgRCjiAAAAACBEKOIAAAAAIEQo4gAAAAAgRCjiAAAAACBEKOIAAAAAIEQo4gAAAAAgRCjiAAAAACBEKOIAAAAAIEQo4gAAAAAgRCjiAAAAACBEKOIAAAAAIEQo4gAAAAAgRCjiAAAAACBEKOIAAAAAIEQqVMSZ2XVm9paZvWlm480s38wam9nTZrYq+L1RsoMFgGQi1wHIBuQ6IPyOWcSZWaGkX0vq5e6dJeVKukzS9ZLmuXsHSfOCjwEglMh1ALIBuQ6oHiq6nDJPUm0zy5NUIGmDpK9Iejh4/WFJX014dACQWuQ6ANmAXAeE3DGLOHf/SNLtktZK2ihph7s/JamFu28MztkoqXmsP29m15jZUjNbuuWTI4mLHAASiFwHIBuQ64DqoSLLKRspenfmOEmtJdUxsysqegF3H+buvdy9V7MmuZWPFACSiFwHIBuQ64DqoSLLKS+Q9IG7b3H3Q5KmSeotaZOZtZKk4PfNyQsTAJKOXAcgG5DrgGqgIkXcWklnmlmBmZmk8yW9I2mmpCuDc66UNCM5IQJASpDrAGQDch1QDeQd6wR3X2xmUyS9KumwpGWShkmqK2mSmf1I0YTwzWQGCgDJRK4DkA3IdUD1cMwiTpLc/UZJN5Y6fEDRuzcAUC2Q6wBkA3IdEH4VfcQAAAAAACADUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECIUMQBAAAAQIhQxAEAAABAiFDEAQAAAECImLun7mJmWyTtkbQ1ZRetuqYKT7xhilUKV7xhibXI3ZulO4hsR65LujDFKoUr3rDESq7LAOS6pAtTrFK44g1TrDHzXUqLOEkys6Xu3iulF62CMMUbplilcMUbpliRGcL2OROmeMMUqxSueMMUKzJD2D5nwhRvmGKVwhVvmGKNh+WUAAAAABAiFHEAAAAAECLpKOKGpeGaVRGmeMMUqxSueMMUKzJD2D5nwhRvmGKVwhVvmGJFZgjb50yY4g1TrFK44g1TrDGlfCYOAAAAAFB5LKcEAAAAgBChiAMAAACAEElZEWdmXzSzlWb2npldn6rrVpSZtTWz+Wb2jpm9ZWa/CY43NrOnzWxV8HujdMd6lJnlmtkyM5sdfJzJsTY0sylmtiL4Nz4rU+M1s+uCz4E3zWy8meVnaqzITJmc78h1yUWuQzYh1yUWuS45qmuuS0kRZ2a5kh6Q9CVJnSRdbmadUnHtz+CwpN+5+ymSzpT0iyDG6yXNc/cOkuYFH2eK30h6p8THmRzrPZKedPeTJXVVNO6Mi9fMCiX9WlIvd+8sKVfSZcrAWJGZQpDvyHXJRa5DViDXJQW5LsGqda5z96T/knSWpLklPr5B0g2puHYVYp4hqZ+klZJaBcdaSVqZ7tiCWNoo+kl3nqTZwbFMjbW+pA8UbKRT4njGxSupUNI6SY0l5UmaLal/JsbKr8z8FbZ8R65LaKzkOn5lzS9yXcLjI9clJ9Zqm+tStZzy6D/gUeuDYxnJzNpL6i5psaQW7r5RkoLfm6cxtJLulvRHSZESxzI11uMlbZE0KlgmMMLM6igD43X3jyTdLmmtpI2Sdrj7U8rAWJGxQpPvyHUJR65DNiHXJdbdItclXHXOdakq4izGsYx8toGZ1ZU0VdK17r4z3fHEYmYXS9rs7q+kO5YKypPUQ9Jgd+8uaY8ytG0drIn+iqTjJLWWVMfMrkhvVAiZUOQ7cl1SkOuQTch1CUKuS57qnOtSVcStl9S2xMdtJG1I0bUrzMxqKPqF/qi7TwsObzKzVsHrrSRtTld8JfSR9GUzWyNpgqTzzGysMjNWKfr/f727Lw4+nqLoF38mxnuBpA/cfYu7H5I0TVJvZWasyEwZn+/IdUlDrkM2IdclDrkueaptrktVEfeypA5mdpyZ1VR0oHBmiq5dIWZmkkZKesfd7yzx0kxJVwb/faWia6rTyt1vcPc27t5e0X/LZ939CmVgrJLk7h9LWmdmHYND50t6W5kZ71pJZ5pZQfA5cb6iw7qZGCsyU0bnO3Jd8pDrkGXIdQlCrkuqapvrLBjoS/6FzC5UdL1vrqSH3P3mlFy4gsysr6TnJC3X/9Yj/1nR9dOTJLVT9BPhm+6+LS1BxmBm50r6vbtfbGZNlKGxmlk3SSMk1ZS0WtIPFL2JkHHxmtn/Sfq2ojtbLZN0taS6ysBYkZkyOd+R65KLXIdsQq5LPHJd4lXXXJeyIg4AAAAAUHUpe9g3AAAAAKDqKOIAAAAAIEQo4gAAAAAgRCjiAAAAACBEKOIAAAAAIEQo4gAAAAAgRCjiAAAAACBE/h/ICVRZzK1OdQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "slices = [0, 50, 99]\n", + "\n", + "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", + "for ax, slic in zip(axs, slices):\n", + " ax.imshow(w[..., slic], interpolation='none')\n", + " ax.plot(top[:, slic], 'r-', lw=4)\n", + " ax.plot(base[:, slic], 'r-', lw=4)\n", + " ax.set_title(f\"Wedge slice: {slic}\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "cathedral-ceramic", + "metadata": {}, + "source": [ + "Slices in/out of the page, look like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "indirect-booth", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "slices = [30, 50, 90]\n", + "\n", + "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", + "for ax, slic in zip(axs, slices):\n", + " ax.imshow(w[:, slic], interpolation='none')\n", + " ax.plot(top[slic], 'r-', lw=4)\n", + " ax.plot(base[slic], 'r-', lw=4)\n", + " ax.set_title(f\"Net:gross slice: {slic}\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "falling-seller", + "metadata": {}, + "source": [ + "Let's simulate the seismic. We'll provide 4 'rocks', one for each of the integers in the array:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "2cc6ed01", + "metadata": {}, + "outputs": [], + "source": [ + "vps = np.array([2320, 2350, 2350, 2370])\n", + "rhos = np.array([2650, 2600, 2620, 2610])\n", + "\n", + "vp = vps[w]\n", + "rho = rhos[w]\n", + "\n", + "rc = bg.reflection.acoustic_reflectivity(vp, rho)" + ] + }, + { + "cell_type": "markdown", + "id": "301fe87b", + "metadata": {}, + "source": [ + "We can check the reflectivities on a vertical slice half-way through the 'breadth':" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "8f667e1f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(rc[:, :, 50])" + ] + }, + { + "cell_type": "markdown", + "id": "e14099d4", + "metadata": {}, + "source": [ + "Now we can convolve with a wavelet to get a synthetic. The synthetic will, like the RC series, be three-dimensional:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "selected-settle", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(100, 100, 100)" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ricker, t = bg.filters.ricker(duration=0.064, dt=0.001, f=40)\n", + "\n", + "syn = bg.filters.convolve(rc, ricker, axis=0) # Time is on the first axis.\n", + "syn.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "cca7ec95", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(syn[:, :, 50])" + ] + }, + { + "cell_type": "markdown", + "id": "enhanced-cookbook", + "metadata": {}, + "source": [ + "Let's look at the three orthognal profiles through this synthetic:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "liquid-manchester", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ma = np.percentile(syn, 99.9)\n", + "vols, cmaps = [w, syn], ['viridis', 'gray']\n", + "\n", + "fig, axs = plt.subplots(ncols=3, nrows=2, figsize=(14, 8))\n", + "for row, vol, cm in zip(axs, vols, cmaps):\n", + " row[0].imshow(vol[:, :, 24], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", + " row[0].axhline(40, c='w', lw=0.67)\n", + " row[0].axvline(50, c='w', lw=0.67)\n", + " row[0].set_title(f\"Wedge axis\")\n", + " row[1].imshow(vol[:, 50, :], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", + " row[1].axhline(40, c='w', lw=0.67)\n", + " row[1].axvline(24, c='w', lw=0.67)\n", + " row[1].set_title(f\"Net:gross axis\")\n", + " row[2].imshow(vol[40, :, :], aspect='auto', interpolation='none', cmap=cm, vmin=0 if vol is w else -ma, vmax=ma if vol is syn else None)\n", + " row[2].axhline(50, c='w', lw=0.67)\n", + " row[2].axvline(24, c='w', lw=0.67)\n", + " row[2].set_title(f\"Timeslice axis\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "functional-scene", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Models from well logs\n", + "\n", + "We can pass in arrays as `strat` and they will be used as the values in the model layers.\n", + "\n", + "We'll start by loading a CSV file of a well log and dissecting it into three zones that we can pass in as `strat`. [Welly](https://code.agilescientific.com/welly/) would but useful for this, but we can also select these segments using conditions on the key depth boundaries.\n", + "\n", + "Well load the well log as a 2D numpy array, and then pull out the `depths`, p-sonic (slowness) `dt`, and density `rhob`:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "b6903ba3", + "metadata": {}, + "outputs": [], + "source": [ + "log_data = np.loadtxt('../data/P-129.csv', delimiter=',', skiprows=1)\n", + "depths, dt, rhob = log_data[:, 0], log_data[:, 2], log_data[:, 4]" + ] + }, + { + "cell_type": "markdown", + "id": "7b9ad511", + "metadata": {}, + "source": [ + "And calculate an acoustic impedance log as input into our model:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "fbf1d82e", + "metadata": {}, + "outputs": [], + "source": [ + "impedance = (1e6 / dt) * rhob" + ] + }, + { + "cell_type": "markdown", + "id": "17d24a87", + "metadata": {}, + "source": [ + "And now we can segment this array into upper, middle, and lower segments." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "1dc12225", + "metadata": {}, + "outputs": [], + "source": [ + "datum, top, base, floor = 500, 701, 805, 1005 \n", + "\n", + "log_upper = impedance[(depths >= datum) & (depths < top)]\n", + "log_wedge = impedance[(depths >= top) & (depths < base)]\n", + "log_lower = impedance[(depths >= base) & (depths < floor)]" + ] + }, + { + "cell_type": "markdown", + "id": "51950dcf", + "metadata": {}, + "source": [ + "We'll create arrays of depths for the corresponding zones as well:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "5e50defc", + "metadata": {}, + "outputs": [], + "source": [ + "upper_depths = depths[(depths >= datum) & (depths < top)]\n", + "wedge_depths = depths[(depths >= top) & (depths < base)]\n", + "lower_depths = depths[(depths >= base) & (depths < floor)]" + ] + }, + { + "cell_type": "markdown", + "id": "1797dee4", + "metadata": {}, + "source": [ + "A quick plot of the three zones shows us the stratigraphic inputs to the `wedge` function." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "ae5d27b9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1005.0, 500.0)" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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eV55YMiTPNxkEj36wjze31lHZ3D0i4hsPhKjcooQQGcDjwDRAAjcAO4G/AaOB/cAVUsrWcP57gBuBIHCHlPLNY70jnm5Rnx5o5bcrduPyBSPDXpF1xXqfB0KR4bXjdVlyWIyUF6QyqSCNyYWplOenMmVUGqk28xD9Kv04mltUtMJbBvxHSvm4EMICOIDvAC1SygeFEHcDmVLKu4QQU4BngXnAKOAdYKKU8qj1UKL74/WM8fYIs0ek/mCITk+A3Q2d7KjtZHtdJzvrOqjv8Pb7nBtPHcO9509OqsDbQ+KPJ4RIA04HrgeQUvoAnxBiKbAwnG0Z8D5wF7AU+KuU0gtUCCH2oInw8ClVwwghBBaTOKKXyLSidJh96Lyl28eOug621XTw4Z4m3t+pxUZ54sMKbjh1zLCL7DlYomnVjgUagT8LIWYC64A7gXwpZS2AlLJWCNET0rwI6N1BVh1OG1E4LEaeWVXJa5vrDrvW0OFRwhvgvXOA26WUq4UQvwHuPkr+/uqQfut5IcTNwM0ApaVD09rUix/9a1sf0U0rSiM/1cbs0gxmDYNgO7EiGuFVA9VSytXh8+fRhFcvhCgMl3aFQEOv/L2bjsVATX8PllI+CjwK2jdeFDYmFC9vOMjy1YcWVxmX6+Rft5+mo0X6MejuFCllHVAlhOgZdzoL2Aa8AlwXTrsOeDl8/ApwpRDCKoQYA0wA1gz2/cMNKSWP/6eiT1qnJ3CE3MlPtCMXtwPLwy3afcCX0MT8nBDiRuAAcDmAlHKrEOI5NHEGgNuO1aJNJhq7vGw+2Ncf8H/OnqiTNfoTlfCklBuA/prLZx0h/4+BH0fzzuFK7mcC7uz58XkjdlUfUCMXceMf6w9Gjq+aVzqiRQcj3EkgHtS1e/j63zZEln0H+MGSKTpalBgo4Q0x/97V0Ed0AGf98t/kplojYSWcFiN2iwmjAbx+bYjO6w9hMxv45jnlFGcmn6uVEt4Qc+mcYg62eXjx02pcviAt3T6qW91Ut7oHdP/exm7+efupQ2xl/BnZHxpxwGQ08I3FE3nlq6dy+5njmT/2+IJjD8flogaCKvGGkA93N/Gl/1tzRA+WSQWpnDYhh1Mn5DK7NINUa2KFmRhKlPCGiE6Pn2ufXH3U4Do76jrZUdfJY/+p4E/XnECK1YTTagzvTaTYTEkrRiW8ARAMSZq7vDR1+bQQFr3WjA2FtPAUQSkJBmXkWiAkGZ3jZF9j94Deccsz646Z51vnlHPbGeOj/TkJwYgRXigkcfuDdPsCuH1Bur1B3P4ArvBxu9tHS7efVpePlm4frd0+mrp91Ld7aOzyEkwAz+FfvLWTm04bg9WUOAEWB0tSC+93K3bzy7d3xfWdi6fkYxQCo1FgFFqICoNB9EkzGrSt55rJIDCIvuc9ebq9AWrbPdS1e/jqmeOTQnSQRMJ7ecNB7vzrBr3N4CcXT9eWiFIclaQR3oOv79DbBACW/v5DrYQLl3I9pZ0QREoxg+h9nUhQn56SzmQUGA2GQ+d99obwdYH5M+eH5evzPC3datYaL703p9UU9zh7SSO8J68/kftf3QZokTJtZq1K6vRokZa6vUECoRAhyaGGgdS2YIjwXmss9DQQImnH8XlX0+4Zip8XN04oy+TvX5k/5HM/kkZ4kwvTWH7TyUP2/H4FGYJgWLx9rofT+4q3//QuT4CbnkqcyUxbDrbjD4WwGob2WzJphDfUGAwCAwJzjP8eHn+QDIeZNpc/kmYyCE4cnUWK7VB1aDMbDout11N9mgwCY+Ra36q697m5n6rcFG7wBKXE4w9Rnp8alwaMEp7O2MxG1t+3mHk/WUFjpzb1MRCSbKxuY1pROnedW874vFSdrYw9aqw2ARBC8KOl0zD1+q5y+YKsqWhh0a8+YNW+2MR3SSRUiZcAuHwBbl2+7oiNGGMSTfLuQQlPJ7q9AW5c9gmr9rX0e70w3ca3ziln0ZR80pIwvIUSnk50ePxHFB1AbbuHbzy3EYDnb5nP7NLMpCr5lPB0ojDdzv996USeWXUAs1HgDYTo8gTo8gbYFg4Q3sNlvRZOTrOZ+Oftp1KW7Yy3yTFFCU9HFpbnsbA877D0P/177xFHYjo8AVbta1bCU8SW1fua+4gu02GmONNBXqoVm8XIgnHZXDF3aGL5xRMlvARi+epK7v3Hlj5py26Yx4ziDH0MGkJUP14CUdLPbLIlv/+Im5atxR888pLxwxElvATi9Im57H/w8zx89Zw+6e9sr6cryeKsqKo2ATlveiH3nDeJB3p9683+0dt98rx46wLmlGbG27SYoUq8BOTdHfX86hie0z/61zZ21XdS0dRNdauLhk4PbS4f3d4A/mCIaEIMxwNV4g0hoZBkf3M35nCclFAflyj6uEf1nkD02xV78AaO/k23/kAbZ//6g+Oy56JZo3jw0hkRX0U9UcIbQm56ai3v7mg4dsY48dKGGi6eU8znJubqbYoS3mDo9gb45Vu72FLTjoyUWFoJ17tU21XfFfW7ZpdmkOWwHJoUZDg0YUhzoaevO30vl/tgSNLtDVDd6qaq1cUFMwqPO5LBUKGENwge+88+nvyo4tgZo2RheS5PXHdiUo3R9qCENwgunDmKh9/fe8zvsGgoybLT5Qlwx7PryUuzkp9mIz/NSl6qjTSbGavZgMVowGo2YDUZsZgMWE2aV/FwiDyghDcIxuWmsPP+82L2vGBIW6Dlr2sO8Mu3dtHpDVDV4qaqZWARpY6HdLuZS+YUcde5k3RtZCjhxZBub4CWbh8APb0ZWms1RCAkCQTD4S7CS1H1CK4n5EVuqo37L55Gh9vP797dQ0Nn/6sARUO728+fP9pPTopV13AYSngxYkddB+c+9B9dbXBajBRm2COz3nqmckqpddd0e4N0eQOMznZw/vRCXW1VwuuHd3fUc8P/Jc6Uw4Fy7+en8IWThseCNEp4/ZBIfW8AM4vTQQgMQlseyRCOTCAI7wXMG53FpScMnxW6lPD64fsXTmVmcQatLl/kjwvabDAB4T96+Dx8LIFA8FCIsp7vukPnMny9b3q723/MpelPHJ3F/HHZ2M1GrGZjOFKCAbvFiM1kxG4xYjUZhkVrtoeolg2NB4m+bGi0fLyniS88vvrYGQeA1XS4GHvOewvVFsljCF/rSet7vy3cVaMdHxK8zWQcUIiLIVk2VBEbThqbzf8uncprm2uxmIxYjAYsJoHVZMRkEARCEo8/iNsfDO9DeCPHQTz+EG5/EF8ghDe8gf+Y740l739zIaNzjs8VXwlPZ4wGwbXzR3Pt/NFRPScUkngCh4To6bOFcPuCeALB8D5Eh9tPm8tHm8tPm9tPu8tPm9tHu9tPm8t/XJ3jrS4fo1HCG7ZsrGrjYJsbf1ArufzBEP7wMvS9V/72B2V4efpe55El60OR5es9/hDesBh79h5/MKYjLtOK0pg9CL9AJbwEYWtNO0v/8FHc3mcxakNsVrP2LdjzPXfUvVn7DrSajbR2+/AFQ9zyucEth6CElyDYzEaEODTicSRuO2McaTYzZqMBs8mAxSi04/BmMWnnFqMBm9mINdwY6NnbzNq4rt6OB0p4CcK43BTW3ruITdXtrK5o4U//3ttvvtMn5HJSgrg2RYMSXgLR4Qnw+If72NvQd4mCtHCcvBtOHcPc0Vk6WRdblPASiLtf2MTqir7xVGaXZrBocj55qVZyU61sqGpjdknGkIeKHWqU8BKIb55TzhWPrOzznbf+QBvrD7T1yXfVvBIeuGRGfI2LMWqWWQLxaWXrMRsXAFNGpQ+9MUOMKvEShNZuX595tADZTgvpdjPpDjO5KVZuWTiO2SUZw2pM9kgo4SUAb2ypO2wts9Mm5PD0jSfpZNHQo6raBODVzbWHpf1ndxOvbjo8PVlQwksAfnLxNH5y8XQumd3Xn+62v3zKa/2IMhlQwksAUm1mvnBSKb/6r1l8et9izpx0KFjjrcs/5cPdTTpaNzQo4SUYWU4LX180sU/azvpOqltdhBJg6dJYoRoXCciYXCczSzLYWNUGaAF6fvSvbVhNBkZnOxmd42BsbgozitI5c3LesFxKVAkvgQgEQ7S4fDR3+fjG4om8vP4gL64/GLnuDYTYWd/JzvpOQHOXH66tXyW8IUJKSYc7QGOXh8ZOH01dXlpdvrDDpZ/23pvLT1OXlxaXb0AdyL0pzx+ey02NCOFJKfs4SwaCIYJSRibn9IQICwS1YDs9k3WCIQiEQpHwYb0n7vQ+D4V63yNZtrKSiqbuYxv2GYTQvvFyUizkpFjJTrFGjg/treSkWsl2WhIi3NhgGVbCC4Ykdzy7vt9+r+HCF08uoyTLro1I2LWRiQyHmewUC1kOCybjyGjvDSvh1ba7E050s0szGJ+bEgkR1hNKrN3tp8MdoM3lozU8t+G7F0zm4tnFepucEAwr4RVnOvjz9Sfy7JoDSPrz1j38A0lKItWnN6BVtb5AKFLt9hx7/cHwvIbj+8jq8gT4+eUzB/2bRirDSngAZ0zK44xJh6+GEytCIUmnN8CpP32XzgFEWu/0BHjw9R3aYsWf2Xomf4M267+H3mP8PQP+vYf9hYBRGXbOnpKfFA4B/THshDfUBKXkh//cOiDRAdR1eI7oph4t3zqnXNeITkPJiBaelDIyj/TOv22IdNgmCvPGJIebe3+MOOG9va2eLz91/CExvrZoAktnFWnxh409cYbBZDD0OTYYiMQoTtZqMhaMOOE9/P6eAeXLS7XyxHUnMr14+Hv7JiIjLmhPVYuLX7+9C39IkmE3IwQ8tbLyiPm/tmgCX/vMoL1iYKigPb0oyXLwq/+a1SftcxNzuXFZ/+J+6J3dFKbbSLdbyHBonb3pdjMZdgs28/AKDZZIjDjh9Udhup00m4mOI7Rk73phc7/pFpOBDLuZxi4vM4rSeeCSGUwZlTaUpiYNI66qPRJSStpcfg62ualuddPY6Ym0eOs6PFS1ujnY6qKpy3fU5+x/8PNDbutwQVW1A0AIQabTQqbTwrSidHaH3Y9e/PTggEPTjs9LGWIrkwclvF50eQM88u+9/HNjDfubXUfMd/LYLFJtZlKtJlJsJrKcFuaWZTF39PBdxjPeKOH14t5/bOblDTVHzbPynjMpTLfHyaLkZUQLr8Pj5+t/3cCK44jyvqaihaWzhk909URlxAjv471NfHnZWrp9wWPmLcqwkxqO0OSwmpBSsq+xm0WT81hYPnQOCiOJQQtPCFEO/K1X0ljge8BT4fTRwH7gCilla/iee4AbgSBwh5TyzcG+/3h5a2v9gEQHcLDt8DXEvvv5ydx02thYmzViiUl3ihDCCBwETgJuA1qklA8KIe4GMqWUdwkhpgDPAvOAUcA7wEQp5VHVEKvulG5vgPte3sJ7OxowGgyYjQKTUWAyGPAHQ1S3HnvBurxUK+ZwCFeLyYDJKML+fkSWYu/yBmjq8uLxh8h2Wlh2wzymFY3MYbd4dKecBeyVUlYKIZYCC8Ppy4D3gbuApcBfpZReoEIIsQdNhCsH+9JAMMQ72+uRUnMB9QdD4YXqNIfOnnN/SNsXZ9i5cl4pgbDDZyAUwh/QrqfbO9la03HU9x3vonbN3T4e+WAfv7tq9mB/YtISK+FdiVaaAeRLKWsBpJS1Qoiej6IiYFWve6rDaYPm1+/s4g/vDY0vXLRYTQZmlmTwnfMn6W1KQhK18IQQFmAJcM+xsvaT1m89L4S4GbgZoLT0yIvCnT2lIGbCe+CS6aTaTJjC1bC28LAxHBm972LE1vA1szHGrk8V/4EDK0EYwGACgxGEMbw3aHuDqVeaEQyG8N7UT9pn8/f3DEOv+z7zTmua9qwhIBYl3nnAp1LKngW56oUQheHSrhDo6auoBkp63VcM9NtpJqV8FHgUtG+8I714ZkkGFQ+cT3Wrm25f4NAcil6r3PSZWxEIhudXHErvyXP5CcX6z/CSQQh4tX0ovMnP7PtLO+K1EIQCh6fJoJb+2bSgD9xtEPrMykAp+fCNHTEVYSyEdxWHqlmAV4DrgAfD+5d7pf9FCPErtMbFBGBNtC8XQlCS5Yj2MYnB2IXaFi92vQl/uaL/a45syCkHowmK5/WdKBIDohKeEMIBLAa+0iv5QeA5IcSNwAHgcgAp5VYhxHPANiAA3HasFq1iiCmdD2d8F3yd4OsGbxd0N4a3Jqj+BMwOrRRsr4aSE2HO9ZoYo0R5pygOJxQEXxd42qGtCvZ/CLvegJpPYf5X4ZwfD+gxyjtFcWSa9sDvT+j/mi0dUgogrRAKpsHEc2HCopi8VglvpJNZBot+AC37tOrV3QZ+F7haoLsB2g5AZy0cXK/lX/UHbX/NP6D4CIIdAEp4Ix2jGU79et80vwceOxOsKdCwHQL9jOr4jz8oUW+U8BRanI+3vgs7X4eAB7oatC6Vxf8Ls78IjtjP71XCU4DfDav+CDK8ju3Z90PuJEgvBqNlSF6phKcAiwO+36qVfJUfwca/wt53tQ3gW3vBmRPTVyrhKbRGxfsPaMITBjDbIaPXUGWMRQdKeAqA+i3wyeNHvv7n88GeqX3rmWxai/fzv9DSBokSnkIbpvvGDmjcAU27ta6Vzhpo3a9tlf0sWX/2j5TwFFHwwk2w+e+HzkfNgaITtOG06Zdr4rKmaZ3JtrSwx0r0sZeV8EY6J96kOQR4u6CtEjxtsPtN2NwO3k6wpIAtA1LzIb1E+/YrmQeTopu4roQ30ik9Wdv6IxTUxOdpg846ePd+2Pqidu07tVpreJCMjBDjiuMjFILuZmjeCw3boPJj2PFq32+9T5+K6hWqxFMcYvnlcHAduFsPdSab7FC2AMrmwxVPQ95kyCiL2jVKCU9xiM//UhubbTugtWbbKqG1Eg6uheq1kD9V81LJnwr502HUrEE3NJTwFIfIKO3bcdyb7mao3wx1W7Rq9593wpXPwqTzB/UqJTzFwHBmH3LNL50Pu9/SvJIHiWpcKI6PUAgePxMKZw26tAMlPMXxYjDAF/+hzTz79VTY9vKx7+kHVdUqjp9xZ2qt3d1vaq5Tg0CVeIrBse99bf/hr7WO5uNECU8xOE7/lrbf/k/43yzNa/k4UMJTDI7eoxgn3aI5ERwH6htPMTCkhKZdULUa9v0btr0EZ94Hky+E3PLjfpwSnmJg1G+FP52iNSrO+6k2LyOtcNCPU1WtYmD0TOgOuGHmVVGJDpTwFAOlZZ8WxgJg/dNRP04JTzEwssZqE4FAC6UWJUp4ioFTukDbz7466kcp4SkGzoFwuGoR/ZwLJTzFwJlzrbZf92fNJT4KlPAUA6cnjuZb39WiiUaB6sdTDJwe/7vvt0UdmlaVeIqB07xHiwgag3jISniKgeNqgczRMXmUEp5iYHi7wOI8bi+UI6GEpxgYB9dCV70WiLs5+kVtlPAUA2PsQi2myoGPtcihUaKEpxg4WeO0/cRzo36UEp5i4Ox9F+xZYLJG/SglPMXAyZmoLbRnjn4JL9WBrBg42eM0b2NndtSPUiWeYmDs/1Dzwzu4DoL+Y+c/BqrEG0lIqa1R5u0ET4e293Zoyw0EPNre79a8jP3uvufV4fXk6jZpcy6iXFpKCS/ZeWrpoTmwx4vZCdZUbWkpoxUueUzrUskeF7VZSnjJzkUPQ+1GrSVqtGhx74I+rboM+iDgC5/3SuvZVj0MXXXacwJumHA22DNiYpYSXrKTNkrbBkPuJHjlds3VPSUf/nQq/PfHWhDuKFHCUxyZqRdpWzAADVvhkdPhwRLlFqWIE0aTtv4FwLUvK7coRZzorNfWw4DjDlVxJJTwFMfGngFlp2iNk5du1YQYJUp4imNjssKXXoXzf6EtP/DGXdE/MgZmKZIdv0cT3D/v0Prxlvwu6kcq4Sn60rwXfjfn8HRruAvl4DqtqrWmRvUaJTxFXzprtW85Z642xAbacJq3Q4sUdf7PIWd81K9RwlP0ZfSpcF/j4elSaktL/e0amHW1FoQ7ClTjQjEwhIDXvw3uFvBFF0UAlPAUx8Np34CSk+HBUtjwbFSPUlWt4shIqc0sq9+qbXWboaMGMsdoa9ZGgRLeSMbngje/o4krFNCWDejZB31a5AAhIG8K5E+DMafD574N2eOjHjZTwhvJuJq1yE9HI61Im2chDFAwHXImxOTVSngjmYwS+EF7/9dCIfC7NHE27YLaDfD0RXDV36D0pKhfrYSn6B+DAawp2pZaoC2QHPTD8svgjg1RT/hRwlMcmYr/wLILDp0XzoTSk7V5G1EKT3WnKI5M2QK4+gWwZ2rnBTPg6r9DZlnUj1bCUxwZg1GbTfatfZBRFpNlBiKPjtmTFMmLwaB1qVjTYhIpCpTwFAPl4oe1qvfpi7V5tVGihKcYGPZMuPIvYLbDU0sGtUZtb1SrVjFwDEbNXSp7vHYcBUp4ioHRUQMvfxVaKuDL70b9OCU8xcBwtcDeFfCtveDMifpx6htPMTCyxmiOAj8fF/X3HagST9EbVwvsew8Ofqq5wHc3Qlejtvd1Q/4UOP3bUX/fgRKeojdv3A2b/qYdT7kIpl8OhbO0sVpHdkwE14MSnuIQlzwKZ/9YWxB51R9h20uHrh3Ji2WQqG88RV9ScmHKEph7g3Y+40q4+f2Yv0aVeAptnuzTF0H7Qc3zxGSD3Ikw90aY+yXNATTGRCU8IcTXgZsACWwGvgQ4gL8Bo4H9wBVSytZw/nuAG4EgcIeUMrq1JxWxoW6zFimgh6BP67cL+rWGRW45ZE/QHEfTiyF1lBZBKgqE7Jm0e7w3ClEEfAhMkVK6hRDPAa8BU4AWKeWDQoi7gUwp5V1CiCnAs8A8YBTwDjBRSnnUtvncuXPl2rVrB2WjYpDUboS2KmjaCVWfaKv5eD7zjXfrKs059CgIIdZJKef2dy3aqtYE2IUQfrSSrga4B1gYvr4MeB+4C1gK/FVK6QUqhBB70ES4MkobFLGkea8WgLE/MkfD5AvhxC9H7ZM3aOFJKQ8KIX4BHADcwFtSyreEEPlSytpwnlohRF74liJgVa9HVIfTDkMIcTNwM0BpaelgTVQMhuxxWgs26Nf69VxNWnXbWQd7VsDHv9McBk77n6heM+hWrRAiE60UG4NWdTqFENcc7ZZ+0vqt56WUj0op50op5+bm5g7WREU0GM2Qmg/5U7Vvuk3Pwea/a6MXo0/XgnZHQTRV7SKgQkrZCCCEeBFYANQLIQrDpV0h0LPAaTVQ0uv+YrSqWZHoGIyaAO2ZWqPjhRu0lnDQC4jw+O3xzcGIRngHgJOFEA60qvYsYC3QDVwHPBjevxzO/wrwFyHEr9BKyAnAmijer4gX2ePg7B/1TfN0aIG4kbDmESidD+POGPAjo/nGWy2EeB74FAgA64FHgRTgOSHEjWjivDycf2u45bstnP+2Y7VokwEpJe3edjxBD56AB2/Qe/gWODzNF/QRlEGCoaC2l0ECoQBBGSQkQ5HjyPXwPiADBENHyNM7Xyig5QnnD8ogpWmlLD9/+cB+mC0NvvyeFtqiebc27/Y4hDfo7pR4MRy7U0IyxI6WHayqXcUbFW9Q1VmFw+zAZrRhMVqwGW1YTVasxn42kxWb0YbZYMZoMGIURkwGE0ZhjJz3d2wSJowGIwZhiBz33GsQhkN5hBGDof88ZoOZVEt0ARd7M5TdKYrP8EH1B9y24jYALhx7IXfOuZP5o+ZjEGp0sjfq/0aMmZI9hVNGncLkrMn8c98/ueWdW2j3xnaAPRlQVe0Qsrp2Nfd+eC9d/i4MGChIKSDPkcdF4y/i3NHRL6+e6KiqVidOKjyJdy5/ByklHb4OarpquOJfV5BjyxkRwjsaqqqNA0II3AE3V/zrCgDum3+fzhbpjyrx4kRQBilOKcZoMHLqs6cyNmMsU7OnMjFzItNypjEtZ5reJsYVJbw4UZRSxOuXvg6Ay+9ifcN6bnnnlsj1b839FrmOXHLsOeQ58si15+IwO/Qyd8hRwtMBh9nBglELePC0B+nyddHp76Smu4aNjRtpdDeytWkrvpAPh8nBd076DkvHL9Xb5JijhKcTQghOyD+BvW17qe2uxeV3IZFUdlSS68jltKLTOK34NE4uPFlvU4cEJTwdWfz8YgAuGn8Ro5yjOLP0TL4595uMShnkitrDCCU8HTmr9CxWHFjBS3teYt0167AYLXqbFDdUd4qOPHTGQ8wr0NaLeGb7MxzsOqizRfFDlXg64A64mbdcE1yGNQOAJ7c8yc6Wnfz09J/qaFn8UMKLA/6gn11tu9jWvI3arloaXA2Ra3fMuYOLxl+E2WDW0cL4o4QXB+Y8c/j6r/MK5vGtE7/F+IzxmAwj78+gvvGGmLf2v8WN027kxIIT+6SfP+Z8JmVNGpGiA1XiDTn3/OcefCEfdpOdF5a8wJj0MSOuWu0PVeINASEZoqarho8Pfsw35n6DOXlzSDGnMD5jvBJdGFXixZAnNj/BQ58+BIDD5GB6znRGp49m6filnD/mfOWF3AslvBhyatGp7GjZwRv738AVcDEmfQylaaUYhIH3qt6LzLewGC2RORb9pZkMJkSUy3ImOsoDeQhodjezrXkblR2VVHVW0eXvwhf0RWaPeYKefs89AQ+ugKvPs66ZfA13zbtLp18SHUfzQFbCSyC2Nm3lylevPCx9Rs4MUi2pOMwOzAYzFqMFi8GCxWjBbDRHji2G8Hmv6z1pNqON2XmzMRvj942pXN+HAVJKsu3ZPLL4EWq6amj1tNLobqTB1UCjq5G97XtpdjfjD/mP+Syr0YrdZMdmsmEz2rCb7NhNdr43/3uMyxgXh19zbJTwEgApJTOemhE5P6v0LAqcBTjNTiZnTWZ23uyIeD4rJpvJhs2knduM2vFwaMQo4SUAFR0Vfc6vn3o9U3OmJnXXi/rG05mQDNHubae6s5pXK17lxd0v4g64I9c3X7dZR+uiQ33jJSgrDqzga+99DYBMayZjM8ZyatGpFKcUU5xazITMCfoaOIQo4cWZuu461jesZ1/7Pva2HVr79YryK/jq7K/qaFl8UcKLM79a+yte36/NNjut6DQeOuMh5hfOT+oZZf2hvvHiTLu3nU/qPmFP2x52te5iXf06BIJ8Zz5Ztiwq2iu4Y/YdnD/2fL1NjRr1jZdApFvTWVS2iEVli6jpqmFr81b2tu1la/NW3q96H+Cw0YtkRAlPRx5a91Ck2u0h05rJOwfeYXrOdMqzynWybOhRwhtiunxdHOw6SE1XDTXdNexr26eN43ZW4vIfXrK1elv56OBHnDv6XCU8xfFz9WtXs6lxU580q9HKlOwpzB81n5tybmJ6znTyHHlHeEJyo4Q3RCwdt5QJGRPIsefQ5G6KjLtWdlSyvmE9AGeUnMFvz/ytzpbqgxJeDFlTu4Yb37rxsPQUcwrp1nRSzCmMThvNtJxpzMmbw/VTr4+/kQmCEl4MCYQCAGTbskm1pFLZUYlE0uXvosvfxeSsySw7b5nOViYGie/GMIxYULSAzddtxml2sr9jPzK8cFFRShHFKcXMLZg7ILemkYDqQB4CVteu5pO6T6jrrqPB1UCHryOydfm6sBgt5DnyWFy2mOumXEeGLUNvk4cE1YEcZ04qPImTCk/q95qUkm5/N1WdVbyw+wUWP7+YkrQSJmRMYGbuTOaPms+Y9DFxtjj+qBJPZzwBD5ubNvNxzce8U/kO+zv28+dz/szcgn4LimGFKvF0pGdJqZ4ulSZ3E7XdtWxv3s7O1p00uBowCANZtiyy7dksHbeUiVkT9TZ7yFHCG2J+tOpH/H3X3xmTPoZcuxbjON+Zz+Kyxdw++3YKnAUjzjMFlPCGFCkl/9jzDyZkTuC0otMoTS1lVMoosu3ZZNuyybBmYDQY9TZTF5TwhhAhBO9d/h4ra1dS1VnF+ob1vFbxGs3uZpo9zXT5urCb7QgEZoMZk8HEdVOv44tTvqi36UOOEl4M6BkKa3A1UNddR6O7EZffhSfgwR104wloS4b2LB3qDriR4f86fZ19nrW/fb8+PyLOKOHFgGtfv/awMLI2o40sW1ak0VDoLCTbnk2WLYt0azpplrTIMFpPKIueydreoBeLwZLUYSyU8GLAG5e+Qbu3nR0tO2jztuHyu3AFXHT7u/scV3ZUsr15uxa6IuTDF+y1hXz4g/5I+tFGOMozy3ninCdIt6bH8VfGFiW8GJFuTT9ip3F/hGSINm8br+57lR0tO2j2NNPibqHZ3Rwp8axGK2ajGZMwYTaaMRvMNLubqeyoxB1wK+Epjs3HNR/zlbe/Ejk3CiOpllTm5s/l9OLTIy3dnuo42ZceUMKLExMzJ3Jy4cnsaNlBu7edoAwyI3cGvz7j13qbpgtqyEwHpJQs+vsiGtwN5NhzcJgcOMyOyN5sMLOvfR8NrgaWn7982E7sVkNmCYYQgncufwdXwIXLH26EhBsg7oCbX6/7NZUdlQBJW+Uq4emEEAKn2YnT7CSXXABaPC187m+fi+T52pyvUZZWppeJQ4oSXgJQ113HhsYNbGvaprcpcUMJT2eklJFVHBeWLOTB0x6k0FlIgbOAfEe+ztYNHUp4OrPkpSUAnDP6HO496V4ybZk6WxQf1JwLnVlUtgiAB097cMSIDlSJpyuVHZU8vvlxAL7+3teZmDWRCZkTKEstI9ueTaYtM2mjgirh6UhZWhnrv7ieA50H2N26m92tu3l+5/NsaNyAN+jtk/f+U+5n6filOlkae5TwdMAf9PPElieo666L+OY1uZto8bRgFEbyHHlk27QSL9OWSb4jn88Vf+7YDx5GKOHpgEQipSQQCuANenEH3HT5uwiGguQ4c8iwZnCg8wC/P+v3w9oR4GioIbMEwh1w0+RqYn3jeu798F7sJjtlaWX87PSfDcspj0cbMlOt2gSirruOD2s+ZFPjJhaMWoBBGNjRsoN9bfv0Ni3mqKo2QTjQcSDSp5dly2Jm7kyumXwNk7ImcWbpmTpbF3tUVZtA7Grdxdff+zoHOg/0SX/7srcpcBboZNXgUd4pw4SJmRNZMGoBB3ZqwptXMI+S1JKk7FhW33gJxt3z7ua9K97j4UUPc6DzAC/sfuGwiUTJgCrxdKTT18nLe15mde1qDnYfpNndTIe3gzRrGrn2XObkzSHbnp2UzgJKeDry+ObHeXLLkwAUOguZnD2ZMWljyLJlUZhSSFlqGaVppTjNTp0tjT1KeDpy66xbWTJuCe3edtq8bbR729nfsZ/fru8bF3nF5SuSLki3Ep6OWI3WPgsXf3zwYyraDy0heuHYC/nhgh/GdVXteKGEl0D8at2v2Nm6M3IuhKDV25p0pR0o4SUUzy95niZ3E/va9lHVWcXW5q2c9fezuHTCpfxgwQ/0Ni+mKOElGDn2HHLsOXzlna9EosiPThutr1FDgBJegtHgauCjgx/RM6J038n3cUX5FTpbFXuU8BKEkAzxy7W/5KU9L7Fg1ALunnc303OnMyVrit6mDQlRCU8IcSfwZUAAj0kpHxJCZAF/A0YD+4ErpJSt4fz3ADcCQeAOKeWb0bw/WTjr72fR4GrAYXLw1mVvJa0PXm8GPWQmhJiGJrp5wEzgAiHEBOBuYIWUcgKwInyOEGIKcCUwFTgX+KMQYmTGYe2FP+RnQoYWosIVcLGrdZfOFsWHaEq8ycAqKaULQAjxb+BiYCmwMJxnGfA+cFc4/a9SSi9QIYTYgybalVHYMGyRUnLHu3fwfvX7TMuexl0n3sXEzInMzputt2lxIRrhbQF+LITIBtzA+cBaIF9KWQsgpawVQvR0QhUBq3rdXx1OOwwhxM3AzQClpaVRmJi4CCEoSi3CarSyt30vv13/W7Jt2ZFWbbb90HGOPYd5BfOSKjr8oIUnpdwuhPgp8DbQBWwEAke5pb+4qv06A0opHwUeBc0fb7A2Jjp3z7ubu+fdDYDL76LeVc/9q+5nbf1a2rxtABH395z5OUzLmaajtbElqsaFlPIJ4AkAIcRP0EqxeiFEYbi0KwQawtmrgZJetxcDNdG8P5lwmB0UpRSxpm4NAI8seoQx6WPId+ZjEMnnvRbVL+qpRoUQpcAlwLPAK8B14SzXAS+Hj18BrhRCWIUQY4AJwJpo3p9MfO+j73HCMycAcP3U61lQtIDClMKkFB1E34/3Qvgbzw/cJqVsFUI8CDwnhLgROABcDiCl3CqEeA7YhlYl3yalDEb5/qSgpquGrc1bAXjgtAe4YOwFOls09ERb1Z7WT1ozcNYR8v8Y+HE070xGHljzAPvb9/PwooeZXzhfb3Pighq50JFNjZv48OCHrKtbx+uXvp6UXihHQglPR65+7WpAixSVYc3Q15g4k5xfrsOE783/HuMzxnP3f+7mhGdO4E8b/6S3SXFDCU8HpJTsbNmJURjJtediN9lZXLaYqdlT9TYtbqiqVgdmPT2LkAxFzpeMW8KY9DHUdteyonIFxanFFKUUkWJJ0dHKoUUJTweeu+A5Gt2NdPm66PB1RLYtTVtYcWBFn7ybr9usk5VDixKeDpRnlVNOOd6gl1ZPK23eNlo9reQ78vsI7+YZN+to5dCihBcnAqEAGxo28KU3v0RRShGtnlb8IT+Z1kwybBlkWrUgjFeWX0mmLRNv0MvissV6mz1kKOHFgT2te7j4lYsj59856TvMyptFqjk1qdekPRpKeHFgXMY4njn/GVbXrmZ783bu/fBeJmZO5Lqp11GWVkaqJZVUc2pSzp89Ekp4cUAIwczcmczMnQlAt7+b5duXs2zrMuq66+j0ddLqbT3svk3XbkraElEJL474gj7avG10eDuYmz+X8szySIt2W/M2Xtn7SiTvPfPuSVrRgRJeXOlxe+rNeWPOI8OaQXFqMfefcj+jUkaR58hL2sXzelDCG2Lave2c9+J5uP1usmxZtHha+ly/cdqNlGeV62SdfijhDTEp5hSm50zn45qPafG0IBBMy5nGw4seHhHTGI+EEt4QsqNlB5f/83IAcu25NLobkUgqOyoj4SlGKkp4Q0hvV6efnv5T5uTNwWgY8VOJASW8IaXAWcDCkoWEZIjZebOV6Hqh3KKGiLruOj6u+Ziarho+qP6AH69WHv+9USVejOnydTH/2UPzJiZmTmTJuCVcNuEyvEEvVqNVR+sSByW8GOMwO7j3pHvZ2bqTivYKGl2NvF35dp/O4d7ML5zP78/6PRajJc6W6ouqamOMQRi4ctKVeAIe1tWvo9nTjNPspDS1lPLMcqZkT6E8s5zS1FIMwsD+jv0jsoWrSrwhYmPjRgDOHX0uaZY00qxppFnSSDGnkGHLYMGoBTpbqC9KeEPEk+c8ydPbnubtyrep7a497HqyehYPFCW8ISLfkc+BjgOUpZVxzeRrIhGg8hx5SRnT+HhRwhsiGlwNvF/9PnmOPLJsWTjNTpxmJw6zA6cpvA+n2U12HCYHNpNN24w27CY7NpNNxU5RHB/5znw+ufoT1tWvo8XTgsvvojvQTbe/m9ruWrr92nF3oBu3X1savtndTLOn+ajPffq8p5mVNys+P2IIUcIbQmwmG6cUnRI594f8vFHxBpsaN9Hh66DR3Uijq5FmdzNBGcRhdlDgLMBhckRKQqMwYjAYcJgczMmbw9Sc5Jh7q4QXRz6s/pDvfPidyPn4jPFcMPYCvjzjy9iMtqR2/PwsyfkBkaCcUXoGG6/dyNuXvQ3AnrY9PLb5MTY3bqbZ09xnkneyo5aG14m1dWtZcWAFVZ1V1Lvqqe+up8vfxZj0MZRnljMuYxwlqSWUpJYwOn00dpNdb5OPG7U0fAIyt2Aucwv6/k3cATf72vaxrWUbO1t28kH1B+xp20OHr4PJWZOZkTuDO+fcSaolVSerY4cSno5c89o1kREOkzBhNVnxBX0EQgGsRitWkxWbyYY/5Gd7y3a2t2znlFGncEbpGTpbHj1KeDpSllZGdWc1Xf4uvEEvAf+hMVtP0IMn6OGRxY8k5fCaEp4O+IN+9rXv48JxF3Jm6ZmRPr3HNz9Og6uhT17VgayIGiklc5+Ziy/kY0z6GHLtuZHRC6fZyYVjL8RitEQmBX39hK8n1aIqvVHCiyNCCHwhHwBGYeS7J3+XMeljdLZKH5Tw4kB9dz1v7n+THS07KEop4mDXQfa07SHRu7KGEiW8OLB8x3L+vOXPAIxNH8s1k69hTPoY9rXvo7a7FofZgcPk0JwFwsfJ7CAAqgM5bnT5utjSvIXarlrqXHXUd9fT5m3D5XfhDrhxBVx9jj0BDzaT5qViN9kxG8z4Q34CoQBBGSQYChKQAUIyhMVgYfnnl1OSWnJsQ+KI6kBOAFIsKZxcePJR8/iDfqq6qjjQcYDKjkp2tuxke8t29rTtOep93XQPu+E2JTwdqOyo5MXdL2IymKjvrqfeVU9VZxUNrgYKnAWUppVSllrG1JypnD/2fMpSyyhMKcRkSJ4/V/L8kmHEuvp1PLnlyT5p4zPGc+7oc8m0ZRKSIW6ffXvSdqWA+sbTDX/IHwnK2OHr0PbeDna17uIvO/6C3WQn05pJTXcNj5392DGr6UTkaN94ydtsSnDMBjMlqSVMyZ7ChIwJdPo6qeqsotHdyPiM8bgDbmq6teV8c2w5Olsbe1RVqxOegIdbV9zK+vr1BKQ2RnvzjJtZXLaY0tRSilOLkzqMmRKeTgRlkJquGgIygFEYybBm8OSWJ0k1p5LnyCPXkUu+I59cRy55jjzy7HkUOAuYmDkxKTyVlfB0wml28salb/RJC8kQLZ4W6rvr+bThU9bUruG9qvf6RBF99eJXKU0rjbe5MUcJL4EwCAPP73qeP2z4QyTtsomXke/IJ9+Rz5j0MUkhOlDCSyhuf/d23q96P3L+xSlf5Nsnfls3e4YSJTyd8QV9h0WD//nnfs65o8/VyaL4oLpTdMZsMHPXiXf1SfvFJ7/QyZr4oUo8nRFCsKhsET/95KeRtExbJl9640vaUlOWVPId+dw++/akaM32oISXABQ4C/j0i5/S5euiy9dFp7+TTl8nDa4GfrH2F7R4WlhctpjJ2ZP1NjVmKOElCGaDmUybtnRoD1uatkS6Uu796F4WFi/k6slXk23P1svMmKGEl2B4g17WN6yn299NXXcd1025joqOCj6o/oDdrbtp97Zz3/z79DYzapTwEowXd7/IT1b/5LD0p857ilHOUeTYk2PcVrVqE4yrJl3F8xc+32ec9vqp1zM7bzb5zvykWStDCS8B6ZmX4TQ7KU4pZkvTFpa8tISHNz6st2kxQwkvATEbzdwy8xbev+J9puVMY239WiraK5IqOrz6xktQpJQ0e5p5Y7/mSPCVGV/hq7O/qrNVsUMJL0GZ8dSMyPHNM27msomX6WhN7FHCS1BWXrWSV/a+wgNrHuDVfa+ys2UnuY5cMq2ZZFgzyLRp+/KscvIceXqbe9wo4SUoKZYULi+/nHkF8/h39b95t+pdPqr5KPKdZxAGCp2FXFl+JddPu15fYweBEl6CUtFewZKXlgCQZcvivDHnceHYCyNRQgudhZiNZp2tHDyqVZugjE4bzUMLHyLVkkqLp4VJWZO4ctKVnFJ0CqVppcNadKCEl7AIIchz5NHp6+TOOXdydtnZepsUU1RVmwB0+jpp87TR4evos3X6OjEKI7/59Df85tPf8PPTf865Y5LDQVQJTyfqu+t5u/Jt3tz/Jjtbd5Jly9JWeey10mOaJY1vnPANytLKKE4tTqo10JTwdOC2FbfxQfUHTMmewg3TbuDMkjOH/Tfb8aKEpwOXTbgMX9DH7tbdfPPf34yknzfmPH52+s90tCx+KOHFmS5fF/d9fB/t3nZSzCmMSx+HRNLgahh2ocaiQQkvzthNdk7IO4F3q95lbsFcilOKKU4tpsBRQJo1jR0tO0izpJFqScVpdiZtVFAlvDhjNBj5zZm/odHVyIbGDRzsPEhFewWralfR6evsEz2q298due+/Z/43t866VUfLY4sSnk7kOnJZXLb4qHmmL5seOfYGvUNtUlxRwktQZiw75J3ys9N/xnljztPRmtiTnB8QScBvzvgNRqG5ufesd5ZMHFN4QognhRANQogtvdKyhBBvCyF2h/eZva7dI4TYI4TYKYQ4p1f6CUKIzeFrvxXJNDt5CDij9Az+uOiPOEwOlm9fzvRl05m+bDov7XlJb9NiwkCq2v8Dfg881SvtbmCFlPJBIcTd4fO7hBBTgCuBqcAo4B0hxEQpZRB4GLgZWAW8BpwLvB6rH5IsvFHxBv+78n8JyAD+kJ9cey5laWVIJEEZpCilSG8TY8IxhSel/EAIMfozyUuBheHjZcD7wF3h9L9KKb1AhRBiDzBPCLEfSJNSrgQQQjwFXIQS3mGsql1Fp78TAIvBQq4jl4XFC1lYspDxGeOTJozFYL/x8qWUtQDhfY8LbBFQ1StfdTitKHz82fR+EULcLIRYK4RY29jYOEgThyc/WPADNl+3mU3XbuKJc54g157Lb9f/lkteuYT3qt7T27yYEetWbX//HOVR0vtFSvko8ChoUd9jY1pi83rF62xu2oyUkurOajY2bsRpdjK3YC4/PvXHzM2fy6iUUXqbGTMGK7x6IUShlLJWCFEI9CyyWg30XteoGKgJpxf3k64I8/2Pv4874I6cl2eWMytvFnaTnTNLziTFkqKjdbFnsMJ7BbgOeDC8f7lX+l+EEL9Ca1xMANZIKYNCiE4hxMnAauBa4HdRWZ5krLl6DQAuv4sDnQeo6qzisU2Psb1lO58f+3kmZU3S2cLYMpDulGeBlUC5EKJaCHEjmuAWCyF2A4vD50gptwLPAduAN4Dbwi1agP8GHgf2AHtRDYt+cZgdTMqahMVgAWDJuCUUpxQf467hR8Kv7COEaAQqh+DROUDTEDw3lgwHG+HIdpZJKXP7uyHhhTdUCCHWHmm5o0RhONgIg7NTDZkpdEEJT6ELI1l4j+ptwAAYDjbCIOwcsd94Cn0ZySWeQkdGnPCEECVCiPeEENuFEFuFEHfqbdOREEIYhRDrhRD/0tuW/hBCZAghnhdC7Aj//5w/0HtHogdyAPgfKeWnQohUYJ0Q4m0p5Ta9DeuHO4HtQJrehhyB3wBvSCkvE0JYgAGvZT/iSjwpZa2U8tPwcSfaHzbhnNyEEMXA59FGexIOIUQacDrwBICU0ielbBvo/SNOeL0J+xnORhs/TjQeAr4NJOpk27FAI/Dn8OfA40II50BvHrHCE0KkAC8AX5NSduhtT2+EEBcADVLKdXrbchRMwBzgYSnlbKAbzRN9QIxI4QkhzGiiWy6lfFFve/rhFGBJ2HP7r8CZQohn9DXpMKqBaillT23xPJoQB8SIE154ktETwHYp5a/0tqc/pJT3SCmLpZSj0eawvCulvEZns/ogpawDqoQQ5eGks9C8kgbESGzVngJ8EdgshNgQTvuOlPI1/UwattwOLA+3aPcBXxrojWrkQqELI66qVSQGSngKXVDCU+iCEp5CF5TwFP3SX8yco+T9tRBiQ3jbJYRoO+Y9qlWr6A8hxOlAF/CUlHLacdx3OzBbSnnD0fKpEk/RL1LKD4CW3mlCiHFCiDeEEOuEEP8RQvQ32fcq4NljPX8kdiArBs+jwC1Syt1CiJOAPwJn9lwUQpQBY4B3j/UgJTzFgAg7VSwA/t4rYpX1M9muBJ7vNYn/iCjhKQaKAWiTUs46Sp4rgdsG+jCF4piEXccqhBCXg+ZsIYSY2XM97CyQiRbu5Jgo4Sn65Qgxc64GbhRCbAS2ogXi7OEqtKCcA+omUd0pCl1QJZ5CF5TwFLqghKfQBSU8hS4o4Sl0QQlPoQtKeApdUMJT6ML/Ayxgs7rOxQbMAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(2, 8))\n", + "plt.plot(log_upper, upper_depths, lw=2)\n", + "plt.plot(log_wedge, wedge_depths, lw=1)\n", + "plt.plot(log_lower, lower_depths, lw=1)\n", + "plt.ylim(floor, datum)" + ] + }, + { + "cell_type": "markdown", + "id": "210c89b0", + "metadata": {}, + "source": [ + "The middle piece (orange) will be fitted to the middle layer of the wedge (resulting in the number of pixels given in the `depth` argument. The upper (blue) and lower (green) pieces will then be cropped to fit their layers, so you must provide enough data for this to happen. The safest thing to do is to provide the _entire_ log above and the same below.\n", + "\n", + "Now we can send these pieces to `wedge`. At the reference location `ref`, it will squeeze all of `log_upper` array into the 400 samples allocated to the upper layer, `log_wedge` will be squeezed into 208 samples in wedge layer, and `log_lower` will be squeezed into 400 samples in lower layer. We've chosen these depth sizes to be proportional to the the thicknesses of these three zones. This is not a requirement however, it simply prevents distorting the individual segments at the reference trace." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "fadb30e8", + "metadata": {}, + "outputs": [], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(400, 208, 400),\n", + " width=(20, 260, 20),\n", + " strat=(log_upper, log_wedge, log_lower),\n", + " mode='sigmoid', conformance='bottom',\n", + " thickness=(0, 2)\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "8299b59f", + "metadata": {}, + "outputs": [], + "source": [ + "log = w[:, ref]\n", + "\n", + "# Make a scaled version of the log for the section plot.\n", + "log_ = (log - np.mean(log)) / np.std(log)\n", + "depth = np.arange(len(log))\n", + "sf = 2.5\n", + "log_bias = np.ptp(log_)" + ] + }, + { + "cell_type": "markdown", + "id": "28f742fb", + "metadata": {}, + "source": [ + "Now we can plot everything together:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "b7add786", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(figsize=(16, 8), ncols=2, gridspec_kw={'width_ratios': (1, 5)})\n", + "\n", + "axs[0].plot(log, depth)\n", + "axs[0].set_ylim(depth[-1], depth[0])\n", + "axs[0].set_title('Impedance')\n", + "\n", + "im=axs[1].imshow(w, aspect='auto', cmap='viridis')\n", + "axs[1].plot(top, 'r-', lw=4)\n", + "axs[1].plot(base, 'r-', lw=4)\n", + "axs[1].fill_betweenx(depth, ref + log_bias + (sf*log_), ref, color='k', alpha=0.3)\n", + "# axs[1].plot(ref + log_bias + (sf*log), depth, c='k', lw=1)\n", + "axs[1].axvline(ref, color='k', ls='--', lw=1)\n", + "axs[1].set_title('Well A')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "650740d6", + "metadata": {}, + "source": [ + "Now we can use this highly detailed rock property model for any seismic simulations you may want to do." + ] + }, + { + "cell_type": "markdown", + "id": "timely-forward", + "metadata": { + "tags": [ + "hide" + ] + }, + "source": [ + "---\n", + "© 2022 Agile Scientific, licensed CC-BY / Apache 2.0" + ] + } + ], + "metadata": { + "celltoolbar": "Tags", + "kernelspec": { + "display_name": "bruges", + "language": "python", + "name": "bruges" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/_userguide/_A_quick_wedge_model.ipynb b/docs/_userguide/_A_quick_wedge_model.ipynb new file mode 100644 index 0000000..6f690b8 --- /dev/null +++ b/docs/_userguide/_A_quick_wedge_model.ipynb @@ -0,0 +1,496 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "corporate-inspector", + "metadata": {}, + "source": [ + "# A quick wedge model\n", + "\n", + "Let's make a quick wedge model and its associated synthetic.\n", + "\n", + "We'll do a zero-offset (aka normal incidence) synthetic, and a full offset one." + ] + }, + { + "cell_type": "markdown", + "id": "french-swing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Zero offset\n", + "\n", + "We can produce a simple wedge model just by calling the `wedge()` function." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "changed-graphic", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import bruges as bg\n", + "\n", + "w, top, base, ref = bg.models.wedge()\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "severe-companion", + "metadata": {}, + "source": [ + "You can then use this integer model to index into an array of rock properties:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "80b58fa4", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "vps = np.array([2320, 2350, 2350])\n", + "rhos = np.array([2650, 2600, 2620])" + ] + }, + { + "cell_type": "markdown", + "id": "f513fc44", + "metadata": {}, + "source": [ + "We can use these to make `vp` and `rho` earth models. We can use NumPy’s fancy indexing by passing our array of indicies to access the rock properties (in this case acoustic impedance) for every element at once." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5ff4f7e7", + "metadata": {}, + "outputs": [], + "source": [ + "vp = vps[w]\n", + "rho = rhos[w]" + ] + }, + { + "cell_type": "markdown", + "id": "ff553a7f", + "metadata": {}, + "source": [ + "Each of these new arrays is the shape of the model, but is filled with a rock property:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1927db89", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(100, 100)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vp.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "1e5b1b68", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[2320, 2320, 2320, 2320, 2320],\n", + " [2320, 2320, 2320, 2320, 2320],\n", + " [2320, 2320, 2320, 2320, 2320],\n", + " [2320, 2320, 2320, 2320, 2320],\n", + " [2320, 2320, 2320, 2320, 2320]])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vp[:5, :5]" + ] + }, + { + "cell_type": "markdown", + "id": "27499763", + "metadata": {}, + "source": [ + "Now we can create the reflectivity profile:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "621f5b60", + "metadata": {}, + "outputs": [], + "source": [ + "rc = bg.reflection.acoustic_reflectivity(vp, rho)" + ] + }, + { + "cell_type": "markdown", + "id": "bceff562", + "metadata": {}, + "source": [ + "Then make a wavelet and convolve it with the reflectivities:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "environmental-transfer", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(100, 100)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ricker, _ = bg.filters.ricker(duration=0.064, dt=0.001, f=40)\n", + "\n", + "syn = bg.filters.convolve(rc, ricker)\n", + "\n", + "syn.shape" + ] + }, + { + "cell_type": "markdown", + "id": "22b5f5bf", + "metadata": {}, + "source": [ + "The easiest way to check everything worked is probably to plot it." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "reported-classroom", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(figsize=(17, 4), ncols=5,\n", + " gridspec_kw={'width_ratios': (4, 4, 4, 1, 4)})\n", + "axs[0].imshow(w)\n", + "axs[0].set_title('Wedge model')\n", + "axs[1].imshow(vp * rho) \n", + "axs[1].set_title('Impedance')\n", + "axs[2].imshow(rc)\n", + "axs[2].set_title('Reflectivity')\n", + "axs[3].plot(ricker, np.arange(ricker.size))\n", + "axs[3].axis('off')\n", + "axs[3].set_title('Wavelet')\n", + "axs[4].imshow(syn)\n", + "axs[4].set_title('Synthetic')\n", + "axs[4].plot(top, 'w', alpha=0.5)\n", + "axs[4].plot(base, 'w', alpha=0.5)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "qualified-formula", + "metadata": {}, + "source": [ + "## Alternative workflow\n", + "\n", + "In the last example, we made an array of integers, then used indexing to place rock properties in the array, using the index as a sort of look-up.\n", + "\n", + "But we could make the impedance model directly, passing rock properties in to the `wedge()` function via teh `strat` argument. It just depends how you want to make your models. \n", + "\n", + "The `strat` argument was the default `[0, 1, 2]` in the last example. Let's pass in the rock properties instead. " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "afa65ef5", + "metadata": {}, + "outputs": [], + "source": [ + "vps = np.array([2320, 2350, 2350])\n", + "rhos = np.array([2650, 2600, 2620])\n", + "\n", + "impedances = vps * rhos\n", + "\n", + "w, top, base, ref = bg.models.wedge(strat=impedances)" + ] + }, + { + "cell_type": "markdown", + "id": "98ddf3e6", + "metadata": {}, + "source": [ + "And look at the result:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "f945d77c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(w, interpolation='none') \n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "international-domain", + "metadata": {}, + "source": [ + "Now the wedge contains rock properties, not integer labels." + ] + }, + { + "cell_type": "markdown", + "id": "1c20d2b1", + "metadata": {}, + "source": [ + "## Offset reflectivity\n", + "\n", + "Let's make things more realistic by computing offset reflectivities, not just normal incidence (acoustic) reflectivity. We'll need Vs as well:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "72b10f98", + "metadata": {}, + "outputs": [], + "source": [ + "vps = np.array([2320, 2350, 2350])\n", + "vss = np.array([1150, 1250, 1200])\n", + "rhos = np.array([2650, 2600, 2620])" + ] + }, + { + "cell_type": "markdown", + "id": "1fe075d0", + "metadata": {}, + "source": [ + "We need the model with integers like 0, 1, 2 again:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "46516150", + "metadata": {}, + "outputs": [], + "source": [ + "w, top, base, ref = bg.models.wedge()" + ] + }, + { + "cell_type": "markdown", + "id": "76b36262", + "metadata": {}, + "source": [ + "Index to get the property models:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "2946acaf", + "metadata": {}, + "outputs": [], + "source": [ + "vp = vps[w]\n", + "vs = vss[w]\n", + "rho = rhos[w]" + ] + }, + { + "cell_type": "markdown", + "id": "57fa7a41", + "metadata": {}, + "source": [ + "Compute the reflectivity for angles up to 45 degrees:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "eacd75a7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(46, 100, 100)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rc = bg.reflection.reflectivity(vp, vs, rho, theta=range(46))\n", + "\n", + "rc.shape" + ] + }, + { + "cell_type": "markdown", + "id": "c3417e8c", + "metadata": {}, + "source": [ + "The result is three-dimensional: the angles are in the first dimension. So the zero-offset reflectivities are in `w[0]` and 30 degrees is at `w[30]`.\n", + "\n", + "Or, you can slice this cube in another orientation and see how reflectivity varies with angle:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "37975bb9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(rc.real[:, :, 50].T)" + ] + }, + { + "cell_type": "markdown", + "id": "7fbed2ed", + "metadata": {}, + "source": [ + "Notice that we're looking only at the real components (offset reflectivities are complex numbers), and we have to transpose the array to get it the right way around." + ] + }, + { + "cell_type": "markdown", + "id": "timely-forward", + "metadata": {}, + "source": [ + "---\n", + "© 2022 Agile Scientific, licensed CC-BY / Apache 2.0" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "bruges", + "language": "python", + "name": "bruges" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/_userguide/_Wedges.ipynb b/docs/_userguide/_Wedges.ipynb deleted file mode 100644 index ba88bab..0000000 --- a/docs/_userguide/_Wedges.ipynb +++ /dev/null @@ -1,935 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "corporate-inspector", - "metadata": {}, - "source": [ - "# Wedges in `bruges`\n", - "\n", - "Let's make wedge models!\n", - "\n", - "We're going to make **all sorts of models** using one magical function. Here's what it can do:\n", - "\n", - "- Layer-cake models with no dip.\n", - "- Wedge models with arbitrary thickness on the left and right.\n", - "- Clinoform models.\n", - "- Models filled with arbitrary stratigraphy, from constant values to well logs.\n", - "\n", - "All these models can have varying amounts of rock above and below them, and can be extended left and right beyond the wedgy part. You can also dip the wedge in either direction.\n", - "\n", - "**This is a new feature introduced in v0.4.2; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**" - ] - }, - { - "cell_type": "markdown", - "id": "french-swing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## The default model and a basic synthetic workflow\n", - "\n", - "We can produce a simple wedge model just by calling the function." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "changed-graphic", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import bruges as bg\n", - "import matplotlib.pyplot as plt\n", - "\n", - "w, top, base, ref = bg.models.wedge()\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "severe-companion", - "metadata": {}, - "source": [ - "You can then use this integer model to index into an array of rock properties:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "environmental-transfer", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "\n", - "rocks = np.array([2.32 * 2.65, # Rock index 0\n", - " 2.35 * 2.60, # Rock index 1\n", - " 2.35 * 2.62, # Rock index 2\n", - " ])\n", - "\n", - "# Fancy indexing into the rocks with the model.\n", - "impedance = rocks[w]\n", - "\n", - "# Make reflectivity.\n", - "rc = bg.reflection.reflectivity(impedance)\n", - "\n", - "# Get a wavelet.\n", - "ricker, _ = bg.filters.ricker(0.064, 0.001, 40, sym=True, return_t=True)\n", - "\n", - "# Repeated 1D convolution for a synthetic.\n", - "syn = np.apply_along_axis(np.convolve, arr=rc, axis=0, v=ricker, mode='same')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "reported-classroom", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, axs = plt.subplots(figsize=(17, 4), ncols=5, gridspec_kw={'width_ratios': (4, 4, 4, 1, 4)})\n", - "axs[0].imshow(w)\n", - "axs[0].set_title('Wedge model')\n", - "axs[1].imshow(impedance)\n", - "axs[1].set_title('Impedance')\n", - "axs[2].imshow(rc)\n", - "axs[2].set_title('Reflectivity')\n", - "axs[3].plot(ricker, np.arange(ricker.size))\n", - "axs[3].axis('off')\n", - "axs[3].set_title('Wavelet')\n", - "axs[4].imshow(syn)\n", - "axs[4].set_title('Synthetic')\n", - "axs[4].plot(top, 'w', alpha=0.5)\n", - "axs[4].plot(base, 'w', alpha=0.5)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "qualified-formula", - "metadata": {}, - "source": [ - "Note that we could also have made the impedance model directly — it just depends how you want to make your models. \n", - "\n", - "So we can use the `strat` argument, and pass in the rock properties there. " - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "diagnostic-journey", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(strat=rocks)\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "international-domain", - "metadata": {}, - "source": [ - "Now the wedge contains rock properties, not integer labels." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "combined-relaxation", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n", - " 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n", - " 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n", - " 6.148, 6.148, 6.148, 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 ,\n", - " 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 ,\n", - " 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157])" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "w[:, 50]" - ] - }, - { - "cell_type": "markdown", - "id": "radical-listing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## A layered wedge model\n", - "\n", - "We can modify the stratigraphy of any layer. E.g., let's pass `(1, 2, 1, 2, 1)` in as the wedge strat, instead of just `1`. We'll also change the bottom layer to a `3`, so now we have 4 rocks." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "hidden-phone", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(100, 600, 100),\n", - " width=(200, 1600, 200),\n", - " strat=(0, (1, 2, 1, 2, 1), 3),\n", - " mode='linear'\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "sticky-playback", - "metadata": {}, - "source": [ - "Notice that the `wedge` function returns 4 things:\n", - "\n", - "- The wedge model as a 2D NumPy array of ints (or whatever numbers you gave as input).\n", - "- The top horizon, in pixel index units, for convenience.\n", - "- The base horizon, in pixel index units, for convenience.\n", - "- The horizontal (left-right) position, as an integer, of the 'reference' model. You may or may not be interested in this, depending on your application.\n", - "\n", - "If you only want the wedge, you can call the function like so:\n", - "\n", - " wedge, *_ = bg.models.wedge()" - ] - }, - { - "cell_type": "markdown", - "id": "protecting-credit", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Arbitrary thicknesses\n", - "\n", - "You can provide the minimum and maximum thickness of the wedge.\n", - "\n", - "**Note:** If the maximum thickness of the wedge if more than 1, then the total depth (i.e. number of rows) of the model will be more than the sum of the `depth` argument, so that the entire model can be accommodated. If you don't want the 'extra' depth, you can slice them off the model as with any NumPy array.\n", - "\n", - "Here's a layer cake:" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "frequent-dominant", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", - " width=(10, 80, 10),\n", - " strat=(0, (1, 2, 2, 1, 2, 1, 0, 1, 1,), 3), # Floats in the wedge\n", - " thickness=(1, 1),\n", - " mode='linear',\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "unsigned-parks", - "metadata": {}, - "source": [ - "Here's another example. This time we'll also pass in floats — velocities perhaps." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "reduced-modeling", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", - " width=(10, 80, 10),\n", - " strat=(1.48, (2.10, 2.25, 2.35), 2.40), # Floats in the wedge.\n", - " thickness=(1, 0.5),\n", - " mode='linear',\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "cb = plt.colorbar()\n", - "cb.ax.invert_yaxis()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "outdoor-edmonton", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Top and bottom conformance\n", - "\n", - "The layers in the wedge can also be top or bottom conforming, rather than proportionally adjusted." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "elementary-leeds", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "confs = ['both', 'top', 'bottom']\n", - "\n", - "fig, axs = plt.subplots(ncols=len(confs), figsize=(12, 4))\n", - "for ax, conf in zip(axs, confs):\n", - " w, top, base, ref = bg.models.wedge(strat=((0, 1, 0), (2, 3, 2, 3, 2), (4, 5, 4)),\n", - " conformance=conf)\n", - " ax.imshow(w, interpolation='none')\n", - " ax.axvline(ref, color='k', ls='--')\n", - " ax.plot(top, 'r-', lw=4)\n", - " ax.plot(base, 'r-', lw=4)\n", - " ax.set_title(f\"{conf} conformant\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "packed-closing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Different 'wedge' shapes\n", - "\n", - "The linear wedge is familiar, but you can also have other shapes (`power` and `root` were new in v0.4.3):" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "defined-cassette", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "modes = ['linear', 'root', 'power', 'sigmoid']\n", - "\n", - "fig, axs = plt.subplots(ncols=len(modes), figsize=(15, 5))\n", - "for ax, mode in zip(axs, modes):\n", - " w, top, base, ref = bg.models.wedge(mode=mode)\n", - " ax.imshow(w, interpolation='none')\n", - " ax.axvline(ref, color='k', ls='--')\n", - " ax.plot(top, 'r-', lw=4)\n", - " ax.plot(base, 'r-', lw=4)\n", - " ax.set_title(mode)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "capital-analyst", - "metadata": {}, - "source": [ - "If you're feeling creative, you can also give `wedge()` your own function (since version 0.4.3). Your function should have an API like `np.linspace()` (the function that produces the standard wedge shape). Here's an example:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "plastic-lafayette", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "def wavy(start, stop, num):\n", - " \"\"\"\n", - " Custom wedge shape.\n", - " \"\"\"\n", - " x = np.linspace(0, 10*np.pi, num)\n", - " y = np.sin(x) + x\n", - " \n", - " # Normalize to 0-1.\n", - " y_ = (y - np.min(y)) / (np.max(y)-np.min(y))\n", - " \n", - " # Scale to required output.\n", - " return min(start, stop) + abs(stop-start) * y_\n", - "\n", - "\n", - "# The wedge function will pass 'left' and 'right' thicknesses.\n", - "# You only need to worry about the case where left < right.\n", - "left, right = 1, 2\n", - "y = wavy(left, right, 100)\n", - "\n", - "plt.plot(y)\n", - "plt.ylim(right, 0)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "guided-secondary", - "metadata": {}, - "source": [ - "Let's use that function to make a model:" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "sublime-poverty", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(mode=wavy, thickness=(1, 0))\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "exciting-completion", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Varying net:gross across `breadth`\n", - "\n", - "**This is a new feature introduced in v0.4.3; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**\n", - "\n", - "If you define a **binary wedge** — i.e. exactly 2 lithologies in the wedge layer — then you can pass a `breadth` argument to get a 3D model. The new dimension contains the 2 pure litholgies at each end, and pinches them out across the model's 'breadth'. Now the top and base are 2D arrays (surfaces through the wedge volume), while `ref` is still a scalar (the lateral position of the reference 'trace')." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "psychological-spanish", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "((100, 100, 100), (100, 100), (100, 100), 89)" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(strat=(0, (1, 2, 1, 1, 2, 1), 3), # Binary wedge.\n", - " breadth=100)\n", - "\n", - "w.shape, top.shape, base.shape, ref" - ] - }, - { - "cell_type": "markdown", - "id": "framed-alaska", - "metadata": {}, - "source": [ - "Let's look at 3 slices: one from one end of the 'net:gross' axis (the last axis), one from the other end (right hand image), and one from halfway (middle image). These are the net:gross end-members." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "polish-shirt", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "slices = [0, 50, 99]\n", - "\n", - "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", - "for ax, slic in zip(axs, slices):\n", - " ax.imshow(w[..., slic], interpolation='none')\n", - " ax.plot(top[:, slic], 'r-', lw=4)\n", - " ax.plot(base[:, slic], 'r-', lw=4)\n", - " ax.set_title(f\"Wedge slice: {slic}\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "cathedral-ceramic", - "metadata": {}, - "source": [ - "Slices in/out of the page, look like this:" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "indirect-booth", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "slices = [30, 50, 90]\n", - "\n", - "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", - "for ax, slic in zip(axs, slices):\n", - " ax.imshow(w[:, slic], interpolation='none')\n", - " ax.plot(top[slic], 'r-', lw=4)\n", - " ax.plot(base[slic], 'r-', lw=4)\n", - " ax.set_title(f\"Net:gross slice: {slic}\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "falling-seller", - "metadata": {}, - "source": [ - "Let's simulate the seismic:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "selected-settle", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(99, 100, 100)" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rocks = np.array([2.32 * 2.65, # Rock index 0\n", - " 2.35 * 2.60, # Rock index 1\n", - " 2.35 * 2.62, # Rock index 2\n", - " 2.37 * 2.61, # Rock index 3\n", - " ])\n", - "\n", - "impedance = rocks[w]\n", - "rc = (impedance[1:] - impedance[:-1]) / (impedance[1:] + impedance[:-1])\n", - "syn_ = [np.apply_along_axis(np.convolve, arr=line, axis=0, v=ricker, mode='same')\n", - " for line in np.moveaxis(rc, 1, 0)]\n", - "syn = np.moveaxis(syn_, 0, 1)\n", - "syn.shape" - ] - }, - { - "cell_type": "markdown", - "id": "enhanced-cookbook", - "metadata": {}, - "source": [ - "Let's look at the three orthognal profiles through this synthetic:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "liquid-manchester", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ma = np.percentile(syn, 99.9)\n", - "vols, cmaps = [w, syn], ['viridis', 'gray']\n", - "\n", - "fig, axs = plt.subplots(ncols=3, nrows=2, figsize=(14, 8))\n", - "for row, vol, cm in zip(axs, vols, cmaps):\n", - " row[0].imshow(vol[:, :, 24], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", - " row[0].axhline(40, c='w', lw=0.67)\n", - " row[0].axvline(50, c='w', lw=0.67)\n", - " row[0].set_title(f\"Wedge axis\")\n", - " row[1].imshow(vol[:, 50, :], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", - " row[1].axhline(40, c='w', lw=0.67)\n", - " row[1].axvline(24, c='w', lw=0.67)\n", - " row[1].set_title(f\"Net:gross axis\")\n", - " row[2].imshow(vol[40, :, :], aspect='auto', interpolation='none', cmap=cm, vmin=0 if vol is w else -ma, vmax=ma if vol is syn else None)\n", - " row[2].axhline(50, c='w', lw=0.67)\n", - " row[2].axvline(24, c='w', lw=0.67)\n", - " row[2].set_title(f\"Timeslice axis\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "functional-scene", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Models from well logs\n", - "\n", - "We can pass in arrays as `strat` and they will be used as the values in the model layers.\n", - "\n", - "We'll start by loading a CSV file of a well log and dissecting it into three zones that we can pass in as `strat`. [Welly](https://code.agilescientific.com/welly/) would but useful for this, but we can also select these segments using conditions on the key depth boundaries." - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "id": "b6903ba3", - "metadata": {}, - "outputs": [], - "source": [ - "log_data = np.loadtxt('../data/P-129.csv', delimiter=',', skiprows=1)\n", - "depths, impedance = log_data[:, 0], log_data[:, 4]" - ] - }, - { - "cell_type": "code", - "execution_count": 105, - "id": "1dc12225", - "metadata": {}, - "outputs": [], - "source": [ - "datum, top, base, floor = 500, 701, 805, 1005 \n", - "\n", - "log_upper = impedance[(depths >= datum) & (depths < top)]\n", - "log_wedge = impedance[(depths >= top) & (depths < base)]\n", - "log_lower = impedance[(depths >= base) & (depths < floor)]\n", - "\n", - "upper_depths = depths[(depths >= datum) & (depths < top)]\n", - "wedge_depths = depths[(depths >= top) & (depths < base)]\n", - "lower_depths = depths[(depths >= base) & (depths < floor)]" - ] - }, - { - "cell_type": "markdown", - "id": "1797dee4", - "metadata": {}, - "source": [ - "A quick plot of the three zones shows us the stratigraphic inputs to the `wedge` function." - ] - }, - { - "cell_type": "code", - "execution_count": 108, - "id": "ae5d27b9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(1005.0, 500.0)" - ] - }, - "execution_count": 108, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(2, 8))\n", - "plt.plot(log_upper, upper_depths, lw=2)\n", - "plt.plot(log_wedge, wedge_depths, lw=1)\n", - "plt.plot(log_lower, lower_depths, lw=1)\n", - "plt.ylim(floor, datum)" - ] - }, - { - "cell_type": "markdown", - "id": "210c89b0", - "metadata": {}, - "source": [ - "The middle piece (orange) will be fitted to the middle layer of the wedge (resulting in the number of pixels given in the `depth` argument. The upper (blue) and lower (green) pieces will then be cropped to fit their layers, so you must provide enough data for this to happen. The safest thing to do is to provide the _entire_ log above and the same below.\n", - "\n", - "Now we can send these pieces to `wedge`; it will squeeze all of `log_wedge` into the 104 pixels allotted to the wedge layer in `depth`. But it will only use the bits of `log_above` and `log_below` that it needs for the 200 pixels above and the 205 below (adjusting for the scale implied by the wedge). We've chosen the depth interval for each layer to equal the length of each log segment in metres. This is not required however, it simply prevents distorting the individual segments at the reference trace." - ] - }, - { - "cell_type": "code", - "execution_count": 109, - "id": "b7add786", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(200, 104, 205),\n", - " width=(20, 260, 20), \n", - " strat=(log_upper[:-1], log_wedge[1:], log_lower[1:]),\n", - " mode='sigmoid', conformance='bottom',\n", - " thickness=(0, 1)\n", - " )\n", - "ref = 280\n", - "datum = upper_depths[0]\n", - "log = w[:, ref]\n", - "depth = np.arange(len(log))\n", - "fig, axs = plt.subplots(figsize=(12, 6), ncols=2, gridspec_kw={'width_ratios': (1, 5)})\n", - "axs[0].plot(log, depth)\n", - "axs[0].set_ylim(depth[-1], depth[0])\n", - "axs[0].set_title('Well A: impedance')\n", - "\n", - "\n", - "im=axs[1].imshow(w, aspect='auto', cmap='viridis_r', vmin=30, vmax=50)\n", - "axs[1].axvline(ref, color='k', ls='--')\n", - "axs[1].plot(top, 'r-', lw=4)\n", - "axs[1].plot(base, 'r-', lw=4)\n", - "axs[1].fill_betweenx(depth, 2*(log/10) + ref, ref, color='w', alpha=1.0)\n", - "axs[1].plot(2*(log/10) + ref, depth, c='k', lw=0.5)\n", - "axs[1].set_title('A model of impedance')\n", - "axs[1].set_xlim(0, 300)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "timely-forward", - "metadata": {}, - "source": [ - "---\n", - "© 2021 Agile Scientific, licensed CC-BY / Apache 2.0" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "geoml", - "language": "python", - "name": "geoml" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/docs/conf.py b/docs/conf.py index 675cdb6..8467f79 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -33,8 +33,8 @@ def setup(app): # -- Project information ----------------------------------------------------- project = 'bruges' -copyright = '2022, Agile Scientific' -author = 'Agile Scientific' +copyright = '2022, The Bruges Authors' +author = 'The Bruges Authors' # This is also used if you do content translation via gettext catalogs. diff --git a/docs/data/P-129.csv b/docs/data/P-129.csv index 5f9fead..3588ed1 100644 --- a/docs/data/P-129.csv +++ b/docs/data/P-129.csv @@ -1,9844 +1,3002 @@ -Depth,GR,DT,DTS,IMP,RHOB,NPHI_LIM -300.0,69.89559089496144,54.55885792543282,104.27377307708676,49.919801659407995,2.7235472296078855,0.04557527473306929 -300.1524,62.36615943294726,55.02508677455838,104.1867028395701,49.539743611499816,2.7258602019870266,0.04696574529131592 -300.3048,61.2253175585833,55.436915192721955,102.94325816214594,49.3907783420614,2.738074718381814,0.049449190416332854 -300.4572,59.258938778265616,54.864346629719165,101.15541259488757,50.12295697736032,2.7495352866092513,0.047762151371228044 -300.6096,55.77190662006594,54.34869598496738,100.49936995765276,50.73100459330787,2.757156604523641,0.03678240382533115 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b/docs/index.rst index 596e804..70b3ac9 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -54,7 +54,7 @@ User guide installation userguide/Quick_start_wedge.ipynb - userguide/Wedges.ipynb + userguide/Wedge_models.ipynb API reference diff --git a/docs/post_process_html.py b/docs/post_process_html.py index 72b44f6..5a7eb62 100644 --- a/docs/post_process_html.py +++ b/docs/post_process_html.py @@ -12,9 +12,9 @@ def simplify_credits(html): pattern = re.compile(s) html = pattern.sub(r'', html) - s = r'Copyright © 2022, Agile Scientific' + s = r'Copyright © 2022, The Bruges Authors' pattern = re.compile(s) - new_s = '© 2022, Agile Scientific | CC BY' + new_s = '© 2022, The Bruges Authors | CC BY' html = pattern.sub(new_s, html) return html diff --git a/docs/pre_process_ipynb.py b/docs/pre_process_ipynb.py index 8841831..8728a27 100644 --- a/docs/pre_process_ipynb.py +++ b/docs/pre_process_ipynb.py @@ -6,6 +6,24 @@ import shutil +def hide_cells(notebook, tags=None): + """ + Finds the tags in each cell and removes it. + Returns dict without 'hide' tagged cells. + """ + if tags is None: + tags = ['hide'] + + clean = [] + for cell in notebook['cells']: + if not set(tags).intersection(cell['metadata'].get('tags', list())): + clean.append(cell) + + notebook['cells'] = clean + + return notebook + + def change_kernel(notebook): """ Vanillafy the kernelspec. @@ -33,11 +51,12 @@ def main(path): with open(fname, encoding='utf-8') as f: notebook = json.loads(f.read()) - new_nb = change_kernel(notebook) + notebook = change_kernel(notebook) + notebook = hide_cells(notebook) filepart = pathlib.Path(fname).name with open(outpath / filepart, 'w') as f: - _ = f.write(json.dumps(new_nb)) + _ = f.write(json.dumps(notebook)) return