├── setup.py
├── README.md
├── plot_objective_function.py
├── plot_optim.py
├── plot_parameters.py
├── plot_data.py
└── LICENSE
/setup.py:
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1 | from setuptools import setup
2 |
3 | setup(
4 | name='Plotting',
5 | version='1.0',
6 | packages=['./'],
7 | url='https://github.com/Python-Ensemble-Toolbox/Plotting',
8 | license_files=('LICENSE.txt',),
9 | author_email='rolo@norceresearch.no',
10 | description='Useful plotting scripts for the Python Ensemble Toolbox',
11 | )
12 |
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/README.md:
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1 | # Plotting
2 | Useful plot functions for the PET toolboxes.
3 |
4 | - plot_data: production data, RFT data, and (2d or 3d) seismic data
5 | - plot_objective_function: data misfit, either all data combined or separated on well data and seismic data
6 | - plot_parameters: layers of field parameters or surfaces, vertical averages of field parameters, scalars, or export field parameters to grid (as .grdecl files that can be visualized in e.g., ResInsight)
7 | - plot_optim: objective function and state variables from popt
8 |
9 | **Installation**
10 |
11 | Inside the Plotting folder, run
12 |
13 | python3 -m pip install -e .
14 |
15 | - The dot is needed to point to the current directory.
16 | - The -e option installs PET such that changes to it take effect immediately (without re-installation).
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/plot_objective_function.py:
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1 | import numpy as np
2 | import matplotlib.pyplot as plt
3 | import os
4 |
5 |
6 | # Set paths and find results
7 | path_to_files = '.'
8 | path_to_figures = './Figures' # Save here
9 | if not os.path.exists(path_to_figures):
10 | os.mkdir(path_to_figures)
11 | files = os.listdir(path_to_files)
12 | results = [name for name in files if "debug_analysis_step" in name]
13 | num_iter = len(results)
14 |
15 |
16 | def combined():
17 | """
18 | Plot objective function for all data combined
19 |
20 | % Copyright (c) 2023 NORCE, All Rights Reserved.
21 | """
22 |
23 | mm = []
24 | for iter in range(num_iter):
25 | if iter == 0:
26 | mm.append(np.load(str(path_to_files) + '/debug_analysis_step_{}.npz'.format(iter + 1))['prev_data_misfit'])
27 | mm.append(np.load(str(path_to_files) + '/debug_analysis_step_{}.npz'.format(iter+1))['data_misfit'])
28 |
29 | f = plt.figure()
30 | plt.plot(mm, 'ko-')
31 | plt.xticks(np.arange(0, num_iter+1), np.arange(num_iter+1))
32 | plt.xticks(fontsize=16)
33 | plt.yticks(fontsize=16)
34 | plt.xlabel('Iteration no.', size=20)
35 | plt.ylabel('Data mismatch', size=20)
36 | plt.title('Objective function', size=20)
37 | f.tight_layout(pad=2.0)
38 | plt.savefig(str(path_to_figures) + '/obj_func')
39 | plt.show()
40 | #plt.close('all')
41 |
42 |
43 | def separate(scaling=1.0):
44 | """
45 | Plot objective function separately for well data and seismic data (bulkimp or sim2seis).
46 | Note that this function does not add noise to the data, and will therefore be different from the combined
47 | function. The data mismatch values are also divided by the number of data of each type.
48 |
49 | Input:
50 | - scaling: if scaling of seismic data is used during data assimilation, this input can be used to convert back
51 | to the original values
52 |
53 | % Copyright (c) 2023 NORCE, All Rights Reserved.
54 |
55 | """
56 |
57 | obs = np.load(str(path_to_files) + '/obs_var.npz', allow_pickle=True)['obs']
58 | var = np.load(str(path_to_files) + '/obs_var.npz', allow_pickle=True)['var']
59 | num_step = len(obs)
60 |
61 | # check if cov_data.p exist (screening is used)
62 | seis_data = ['sim2seis', 'bulkimp']
63 | actual_var = None
64 | if os.path.exists('cov_data.p'):
65 | with open('cov_data.p', 'rb') as f:
66 | actual_var = pickle.load(f)
67 |
68 | # get the cov data
69 | seis_obs = np.array([])
70 | prod_obs = np.array([])
71 | seis_cov = np.array([])
72 | prod_cov = np.array([])
73 | seismic_ind = 0
74 | for i in np.arange(num_step):
75 | for key in obs[i].keys():
76 |
77 | if actual_var is not None:
78 | if obs[i][key] is not None:
79 | if my_data not in key:
80 | prod_cov = np.append(prod_cov, actual_var[seismic_ind:seismic_ind + var[i][key].shape[0]])
81 | seismic_ind += var[i][key].shape[0]
82 |
83 | if key in seis_data and obs[i][key] is not None:
84 | seis_obs = np.append(seis_obs, obs[i][key] / scaling)
85 | if actual_var is not None:
86 | seis_cov = np.append(seis_cov, actual_var[seismic_ind:seismic_ind + len(obs[i][key])])
87 | seismic_ind += var[i][key].shape[0]
88 | else:
89 | seis_cov = np.append(seis_cov, var[i][key])
90 | seismic_ind += var[i][key].shape[0]
91 | elif obs[i][key] is not None:
92 | prod_obs = np.concatenate((prod_obs, obs[i][key]))
93 | if actual_var is None:
94 | prod_cov = np.concatenate((prod_cov, var[i][key]))
95 | seismic_ind += var[i][key].shape[0]
96 |
97 | num_seis = len(seis_obs)
98 | num_prod = len(prod_obs)
99 | prod_misfit = []
100 | seismic_misfit = []
101 |
102 | for iter in range(num_iter+1):
103 |
104 | if iter == 0:
105 | analysis = np.load(str(path_to_files) + '/prior_forecast.npz', allow_pickle=True)
106 | else:
107 | analysis = np.load(str(path_to_files) + f'/debug_analysis_step_{iter}.npz', allow_pickle=True)
108 | pred = analysis['pred_data']
109 | seis_pred = []
110 | prod_pred = []
111 | for i in np.arange(num_step):
112 | for key in pred[i].keys():
113 | if key not in seis_data and obs[i][key] is not None:
114 | prod_pred.append(pred[i][key])
115 | elif key in seis_data and obs[i][key] is not None:
116 | seis_pred.append(pred[i][key] / scaling)
117 |
118 | prod_pred = np.vstack(prod_pred) - np.array([prod_obs]).T
119 | seis_pred = np.vstack(seis_pred) - np.array([seis_obs]).T
120 | hm = np.sum(prod_pred**2 / np.array([prod_cov]).T, axis=0)
121 | prod_misfit.append(hm)
122 | hm = np.sum(seis_pred ** 2 / np.array([seis_cov]).T, axis=0)
123 | seismic_misfit.append(hm)
124 |
125 | print(f'Number of production data: {num_prod}, number of seismic data: {num_seis}')
126 |
127 | f = plt.figure()
128 | plt.subplot(1, 2, 1)
129 | plt.boxplot(np.array(prod_misfit).T / num_prod, showfliers=False, showmeans=True)
130 | plt.xticks(np.arange(1, num_iter+2), np.arange(0, num_iter+1))
131 | plt.xticks(fontsize=16)
132 | plt.yticks(fontsize=16)
133 | plt.xlabel('Iteration no.', size=20)
134 | plt.ylabel('Data mismatch', size=20)
135 | plt.title('Well data', size=20)
136 |
137 | plt.subplot(1, 2, 2)
138 | plt.boxplot(np.array(seismic_misfit).T / num_seis, showfliers=False, showmeans=True)
139 | plt.xticks(np.arange(1, num_iter+2), np.arange(0, num_iter+1))
140 | plt.xticks(fontsize=16)
141 | plt.yticks(fontsize=16)
142 | plt.xlabel('Iteration no.', size=20)
143 | plt.ylabel('Data mismatch', size=20)
144 | plt.title('Seismic data', size=20)
145 |
146 | f.tight_layout(pad=2.0)
147 | plt.savefig(str(path_to_figures) + '/obj_func_sep')
148 | plt.show()
149 | plt.close('all')
150 |
151 |
152 |
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/plot_optim.py:
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1 | # External imports
2 | import matplotlib.pyplot as plt # Plot functions
3 | import numpy as np # Numerical toolbox
4 | import os
5 |
6 |
7 | def plot_obj_func(obj_scaling=None):
8 | """
9 | Plot the objective function vs. iterations.
10 |
11 | % Copyright (c) 2023 NORCE, All Rights Reserved.
12 | """
13 |
14 | # Set paths
15 | path_to_files = './'
16 | path_to_figures = './Figures/' # Save here
17 | if not os.path.exists(path_to_figures):
18 | os.mkdir(path_to_figures)
19 |
20 | # Collect all results
21 | files = os.listdir(path_to_files)
22 | results = [name for name in files if "optimize_result" in name]
23 | if len(results) == 0:
24 | return
25 | fig, ax = plt.subplots(1, 1, figsize=(10, 10))
26 | obj = []
27 | ind = [i for i, ltr in enumerate(results[0]) if ltr == '_']
28 | if len(ind) > 2: # there is an epf outer loop index in the results
29 | for f in results:
30 | ind = [i for i, ltr in enumerate(f) if ltr == '_']
31 | ind.append(f.find('.npz'))
32 | inner_it = int(f[ind[1]+1:ind[2]])
33 | outer_it = int(f[ind[2]+1:ind[3]])
34 | info = np.load(str(path_to_files) + 'optimize_result_{0}_{1}.npz'
35 | .format(f[ind[1]+1:ind[2]], f[ind[2]+1:ind[3]]), allow_pickle=True)
36 | if not len(obj) > outer_it:
37 | obj.extend([] for _ in range(outer_it-len(obj)+1))
38 | if not len(obj[outer_it]) > inner_it:
39 | obj[outer_it].extend([] for _ in range(inner_it-len(obj[outer_it])+1))
40 | val = info['obj_func_values']
41 | if obj_scaling is not None:
42 | val *= obj_scaling
43 | obj[outer_it][inner_it] = val
44 | leg = []
45 | for i in range(len(obj)):
46 | if len(obj[i]) > 1:
47 | ax.plot(obj[i], linewidth=4, markersize=10)
48 | else:
49 | ax.plot(obj[i], 'd', markersize=10)
50 | leg.append('epf iter ' + str(i))
51 | ax.tick_params(labelsize=16)
52 | ax.set_xlabel('Iteration no.', size=20)
53 | ax.set_ylabel('Value', size=20)
54 | ax.set_title('Objective function', size=20)
55 | fig.legend(leg)
56 | plt.tight_layout()
57 | fig.savefig(str(path_to_figures) + '/obj_func_epf')
58 | plt.show()
59 | else:
60 | num_iter = len(results)
61 | for it in range(num_iter):
62 | info = np.load(str(path_to_files) + 'optimize_result_{}.npz'
63 | .format(it), allow_pickle=True)
64 | val = info['obj_func_values']
65 | if obj_scaling is not None:
66 | val *= obj_scaling
67 | obj.append(val)
68 | obj = np.squeeze(np.array(obj))
69 | if obj.ndim > 1: # multiple models
70 | if np.min(obj.shape) == 1:
71 | ax.plot(obj, '.b')
72 | else:
73 | ax.plot(obj, 'b:')
74 | obj = np.mean(obj, axis=1)
75 | ax.plot(obj, 'rs-', linewidth=4, markersize=10)
76 | ax.set_xticks(range(num_iter), minor=True)
77 | ax.tick_params(labelsize=16)
78 | ax.set_xlabel('Iteration no.', size=20)
79 | ax.set_ylabel('Value', size=20)
80 | ax.set_title('Objective function', size=20)
81 | plt.tight_layout()
82 |
83 | fig.savefig(str(path_to_figures) + '/obj_func')
84 | plt.show()
85 |
86 |
87 | def plot_state(num_var, order = 'F'):
88 | """
89 | Plot the initial and final state.
90 |
91 | Input:
92 | - num_var: number of variables that will be displayed separately.
93 | This can be e.g., control variables for different wells. It there
94 | is multiple variable types (e.g., for injectors and producers),
95 | then num_var can be a list with one number for each type.
96 | - order: ordering of variables. See numpy.reshape for more information. Default 'F'.
97 |
98 | % Copyright (c) 2023 NORCE, All Rights Reserved.
99 | """
100 |
101 | # Set paths
102 | path_to_files = './'
103 | path_to_figures = './Figures' # Save here
104 | if not os.path.exists(path_to_figures):
105 | os.mkdir(path_to_figures)
106 |
107 | # Load results
108 | files = os.listdir(path_to_files)
109 | results = [name for name in files if "optimize_result" in name]
110 | ind = [i for i, ltr in enumerate(results[0]) if ltr == '_']
111 | if len(ind) > 2: # there is an epf outer loop index in the results
112 | inner_it = 0
113 | outer_it = 0
114 | for f in results:
115 | ind = [i for i, ltr in enumerate(f) if ltr == '_']
116 | ind.append(f.find('.npz'))
117 | outer_it = np.maximum(int(f[ind[2]+1:ind[3]]), outer_it)
118 | for f in results:
119 | if '_'+str(outer_it)+'.npz' in f:
120 | ind = [i for i, ltr in enumerate(f) if ltr == '_']
121 | inner_it = np.maximum(int(f[ind[1]+1:ind[2]]), inner_it)
122 | state_initial = np.load('optimize_result_0_0.npz', allow_pickle=True)['x']
123 | state_final = np.load(f'optimize_result_{inner_it}_{outer_it}.npz', allow_pickle=True)['x']
124 | else:
125 | num_iter = len(results)-1
126 | state_initial = np.load('optimize_result_0.npz', allow_pickle=True)['x']
127 | state_final = np.load(f'optimize_result_{num_iter}.npz', allow_pickle=True)['x']
128 |
129 | # Loop over all state variables
130 | if type(num_var) is int:
131 | num_var = [num_var] # make sure num_var is a list
132 | tot_var = sum(num_var)
133 | len_state = len(state_initial)
134 | num_steps = int(len_state / tot_var)
135 | state_initial = np.reshape(state_initial, (tot_var, num_steps), order = order)
136 | state_final = np.reshape(state_final, (tot_var, num_steps), order=order)
137 | for i, k in enumerate(num_var):
138 |
139 | if len(num_var) >= i:
140 | num = num_var[i]
141 | else:
142 | num = num_var[0]
143 | c = int(np.ceil(np.sqrt(num)))
144 | r = int(np.ceil(num / c))
145 | f, ax = plt.subplots(r, c, figsize=(10, 5))
146 | ax = np.array(ax)
147 | ax = ax.flatten()
148 | for w in np.arange(num):
149 | var_ini = state_initial[sum(num_var[:i]) + w, :]
150 | var_fin = state_final[sum(num_var[:i]) + w, :]
151 | if len(var_ini) > 1:
152 | ax[w].step(var_ini, '-b')
153 | ax[w].step(var_fin, '-r')
154 | else:
155 | ax[w].plot(var_ini, 'sb')
156 | ax[w].plot(var_fin, 'sr')
157 | ax[w].tick_params(labelsize=16)
158 | ax[w].set_xlabel('Index', size=18)
159 | ax[w].set_ylabel('State', size=18)
160 | ax[w].set_title('Variable ' + str(w + 1), size=18)
161 | if w == 0:
162 | ax[w].legend(['Initial', 'Final'], fontsize=16)
163 |
164 | f.tight_layout()
165 | f.savefig(str(path_to_figures) + '/variable_' + str(i))
166 | plt.show()
167 |
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/plot_parameters.py:
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1 | import numpy as np
2 | import matplotlib.pyplot as plt
3 | import pickle
4 | import sys
5 | import os
6 | from scipy.stats import norm
7 | from misc import ecl, grdecl
8 | from scipy.io import loadmat
9 |
10 |
11 | # Set paths and find results
12 | path_to_files = '.'
13 | path_to_figures = './Figures' # Save here
14 | save_figure = True # Use True for saving the figures
15 | if not os.path.exists(path_to_figures):
16 | os.mkdir(path_to_figures)
17 | files = os.listdir(path_to_files)
18 | results = [name for name in files if "debug_analysis_step" in name]
19 | num_iter = len(results)
20 |
21 |
22 | def plot_layer(field, f_dim, iter=1, layer_no=1):
23 | """
24 | Plot parameters in given layer
25 |
26 | Input:
27 | - field : string specifying the property
28 | - f_dim : dimension of the property (2d or 3d)
29 | - iter : plot results at this iteration
30 | - layer_no: plot for this layer
31 |
32 | % Copyright (c) 2023 NORCE, All Rights Reserved.
33 | """
34 |
35 | if os.path.exists(str(path_to_files) + '/actnum.npz'):
36 | actnum = np.load(str(path_to_files) + '/actnum.npz')['actnum']
37 | else:
38 | actnum = np.ones(np.prod(f_dim), dtype=bool)
39 |
40 | # Load debug steps
41 | field_post = np.zeros(f_dim)
42 | field_post[:] = np.nan
43 | field_post_std = np.zeros(f_dim)
44 | field_post_std[:] = np.nan
45 | post = np.load(str(path_to_files) + f'/debug_analysis_step_{iter}.npz', allow_pickle=True)['state'][()][field]
46 | if 'perm' in field:
47 | post = np.exp(post)
48 | field_post[actnum.reshape(f_dim)] = post.mean(1)
49 | field_post_layer = field_post[layer_no - 1, :, :]
50 | field_post_std[actnum.reshape(f_dim)] = post.std(axis=1, ddof=1)
51 | field_post_std_layer = field_post_std[layer_no - 1, :, :]
52 | max_post_std = np.nanmax(field_post_std_layer)
53 | min_post_std = np.nanmin(field_post_std_layer)
54 |
55 | # Load Prior field
56 | prior = np.load(str(path_to_files) + '/prior.npz')[field]
57 | field_prior = np.zeros(f_dim)
58 | field_prior_std = np.zeros(f_dim)
59 | field_prior[:] = np.nan
60 | field_prior_std[:] = np.nan
61 | if 'perm' in field:
62 | prior = np.exp(prior)
63 | field_prior[actnum.reshape(f_dim)] = prior.mean(1)
64 | field_prior_layer = field_prior[layer_no - 1, :, :]
65 | field_prior_std[actnum.reshape(f_dim)] = prior.std(axis=1, ddof=1)
66 | field_prior_std_layer = field_prior_std[layer_no - 1, :, :]
67 | max_prior_std = np.nanmax(field_prior_std_layer)
68 | min_prior_std = np.nanmin(field_prior_std_layer)
69 |
70 | # Plotting
71 | if os.path.exists('utm_res.mat'):
72 | sx = loadmat('utm_res.mat')['sx_res']
73 | sy = loadmat('utm_res.mat')['sy_res']
74 | else:
75 | sx = np.linspace(0, f_dim[1], num=f_dim[1])
76 | sy = np.linspace(0, f_dim[2], num=f_dim[2])
77 |
78 | # Load wells if present
79 | wells = None
80 | if os.path.exists('wells.npz'):
81 | wells = np.load('wells.npz')['wells']
82 |
83 | plt.figure()
84 | plt.pcolormesh(sx, sy, field_prior_layer, cmap='jet', shading='auto')
85 | plt.colorbar()
86 | if wells:
87 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
88 | title_str = 'Prior, ' + field
89 | filename = str(path_to_figures) + '/' + field + '_prior'
90 | if f_dim[0] > 1: # 3D
91 | title_str += ' at layer ' + str(layer_no)
92 | filename += '_layer' + str(layer_no)
93 | plt.title(title_str)
94 | if save_figure is True:
95 | plt.savefig(filename)
96 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
97 |
98 | plt.figure()
99 | plt.pcolormesh(sx, sy, field_post_layer, cmap='jet', shading='auto')
100 | plt.colorbar()
101 | if wells:
102 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
103 | title_str = 'Posterior, ' + field
104 | filename = str(path_to_figures) + '/' + field + '_post'
105 | if f_dim[0] > 1: # 3D
106 | title_str += ' at layer ' + str(layer_no)
107 | filename += '_layer' + str(layer_no)
108 | plt.title(title_str)
109 | if save_figure is True:
110 | plt.savefig(filename)
111 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
112 |
113 | plt.figure()
114 | field_diff = field_post_layer - field_prior_layer
115 | plt.pcolormesh(sx, sy, field_diff, cmap='jet', shading='auto')
116 | plt.colorbar()
117 | if wells:
118 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
119 | title_str = 'Posterior - Prior, ' + field
120 | filename = str(path_to_figures) + '/' + field + '_diff'
121 | if f_dim[0] > 1: # 3D
122 | title_str += ' at layer ' + str(layer_no)
123 | filename += '_layer' + str(layer_no)
124 | plt.title(title_str)
125 | if save_figure is True:
126 | plt.savefig(filename)
127 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
128 |
129 | # std
130 | np.array([np.minimum(min_prior_std, min_post_std), np.maximum(max_prior_std, max_post_std)])
131 | plt.figure()
132 | plt.pcolormesh(sx, sy, field_prior_std_layer, cmap='jet', shading='auto')
133 | plt.colorbar()
134 | if wells:
135 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
136 | title_str = 'Prior std ' + field
137 | filename = str(path_to_figures) + '/' + field + '_std_prior'
138 | if f_dim[0] > 1: # 3D
139 | title_str += ' at layer ' + str(layer_no)
140 | filename += '_layer' + str(layer_no)
141 | plt.title(title_str)
142 | if save_figure is True:
143 | plt.savefig(filename)
144 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
145 |
146 | plt.figure()
147 | plt.pcolormesh(sx, sy, field_post_std_layer, cmap='jet', shading='auto')
148 | plt.colorbar()
149 | if wells:
150 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
151 | title_str = 'Posterior std ' + field
152 | filename = str(path_to_figures) + '/' + field + '_std_post'
153 | if f_dim[0] > 1: # 3D
154 | title_str += ' at layer ' + str(layer_no)
155 | filename += '_layer' + str(layer_no)
156 | plt.title(title_str)
157 | if save_figure is True:
158 | plt.savefig(filename)
159 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
160 |
161 | plt.show()
162 |
163 |
164 | def plot_avg_field(field, ecl_file, iter=1, trunc=None, max_depth=100):
165 | """
166 | Plot averaged parameters
167 |
168 | Input:
169 | - field : string specifying the property
170 | - ecl_file : path to an eclipse init file
171 | - iter : plot results at this iteration
172 | - truc : when plotting differences, only show values larger than trunc
173 | - max_depth: compute the average over this depth
174 |
175 | % Copyright (c) 2023 NORCE, All Rights Reserved.
176 |
177 | """
178 |
179 | if trunc is None:
180 | trunc = {}
181 | ecl_init = ecl.EclipseInit(ecl_file)
182 | dz = ecl_init.cell_data('DZ')
183 | porv = ecl_init.cell_data('PORV')
184 | f_dim = [ecl_init.nk, ecl_init.nj, ecl_init.ni]
185 |
186 | if os.path.exists(str(path_to_files) + '/actnum.npz'):
187 | actnum = np.load(str(path_to_files) + '/actnum.npz')['actnum']
188 | else:
189 | actnum = np.ones(np.prod(f_dim), dtype=bool)
190 |
191 | # Load Prior field
192 | if 'swat' in field or 'pres' in field:
193 | type = field[0:4]
194 | base_ind = int(field[5])
195 | monitor_ind = int(field[7])
196 | data = np.load('dynamic_data_0.npz', allow_pickle=True)
197 | act = data['act']
198 | field_prior = data[type][monitor_ind] - data[type][base_ind]
199 | for member in range(len(act)):
200 | field_prior[member, ~act[member, :]] = np.nan
201 | field_prior = np.nanmean(field_prior, axis=0)
202 | else:
203 | prior = np.load(str(path_to_files) + '/prior.npz')[field]
204 | field_prior = np.zeros(f_dim)
205 | field_prior[:] = np.nan
206 | if 'perm' in field:
207 | prior = np.exp(prior)
208 | elif 'multz' in field:
209 | prior = norm.cdf(prior) * 2
210 | field_prior[actnum.reshape(f_dim)] = prior.mean(1)
211 |
212 | # Load debug steps
213 | if 'swat' in field or 'pres' in field:
214 | if os.path.exists('dynamic_data.npz'):
215 | type = field[0:4]
216 | base_ind = int(field[5])
217 | monitor_ind = int(field[7])
218 | data = np.load('dynamic_data.npz', allow_pickle=True)
219 | act = data['act']
220 | field_post = data[type][monitor_ind] - data[type][base_ind]
221 | for member in range(len(act)):
222 | field_post[member, ~act[member, :]] = np.nan
223 | field_post = np.nanmean(field_post, axis=0)
224 | else:
225 | field_post = np.zeros(field_prior.shape)
226 | else:
227 | field_post = np.zeros(f_dim)
228 | field_post[:] = np.nan
229 | post = np.load(str(path_to_files) + f'/debug_analysis_step_{iter}.npz', allow_pickle=True)['state'][()][field]
230 | if 'perm' in field:
231 | post = np.exp(post)
232 | elif 'multz' in field:
233 | post = norm.cdf(post) * 2
234 | field_post[actnum.reshape(f_dim)] = post.mean(1)
235 |
236 | # loop over all columns (dz is in shape nz,ny,nx)
237 | field_post_avg = np.zeros(f_dim[1:])
238 | field_post_avg[:] = np.nan
239 | field_prior_avg = np.zeros(f_dim[1:])
240 | field_prior_avg[:] = np.nan
241 | for i in range(ecl_init.ni):
242 | for j in range(ecl_init.nj):
243 | depth_column = dz[:, j, i].data
244 | porv_column = porv[:, j, i].data
245 | depth = np.cumsum(depth_column.data)
246 | depth_index = np.asarray(depth <= max_depth).nonzero()[0][-1]
247 | porv_total = np.cumsum(porv_column.data)[depth_index]
248 | vec_prior = np.multiply(field_prior[0:depth_index, j, i], porv_column[0:depth_index])
249 | vec_post = np.multiply(field_post[0:depth_index, j, i], porv_column[0:depth_index])
250 | if depth[depth_index] > 0:
251 | field_post_avg[j, i] = np.nansum(vec_post) / porv_total
252 | field_prior_avg[j, i] = np.nansum(vec_prior) / porv_total
253 |
254 | max_post = np.nanmax(field_post_avg)
255 | min_post = np.nanmin(field_post_avg)
256 | max_prior = np.nanmax(field_prior_avg)
257 | min_prior = np.nanmin(field_prior_avg)
258 |
259 | # Plotting
260 | if os.path.exists('utm_res.mat'):
261 | sx = loadmat('utm_res.mat')['sx_res']
262 | sy = loadmat('utm_res.mat')['sy_res']
263 | else:
264 | sx = np.linspace(0, f_dim[1], num=f_dim[1])
265 | sy = np.linspace(0, f_dim[2], num=f_dim[2])
266 | cl = np.array([np.minimum(min_prior, min_post), np.maximum(max_prior, max_post)])
267 | prefix = ''
268 | if 'swat' in field or 'pres' in field:
269 | prefix = '$\Delta$'
270 |
271 | # Load wells if present
272 | wells = None
273 | if os.path.exists('wells.npz'):
274 | wells = np.load('wells.npz')['wells']
275 |
276 | plt.figure()
277 | field_prior_avg = field_prior_avg
278 | im = plt.pcolormesh(sx, sy, field_prior_avg, cmap='jet', shading='auto')
279 | im.set_clim(cl)
280 | plt.colorbar()
281 | if wells:
282 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
283 | plt.title('Prior ' + prefix + field)
284 | if save_figure is True:
285 | filename = str(path_to_figures) + '/' + field + '_prior_avg'
286 | plt.savefig(filename)
287 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
288 |
289 | plt.figure()
290 | field_post_avg = field_post_avg
291 | im = plt.pcolormesh(sx, sy, field_post_avg, cmap='jet', shading='auto')
292 | im.set_clim(cl)
293 | plt.colorbar()
294 | if wells:
295 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
296 | plt.title('Posterior ' + prefix + field)
297 | if save_figure is True:
298 | filename = str(path_to_figures) + '/' + field + '_post_avg'
299 | plt.savefig(filename)
300 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
301 |
302 | plt.figure()
303 | data_diff = field_post_avg - field_prior_avg
304 | if field in trunc.keys():
305 | data_diff[np.abs(data_diff) < trunc[field]] = np.nan
306 | im = plt.pcolormesh(sx, sy, data_diff, cmap='seismic', shading='auto')
307 | cl_value = np.nanmax(np.abs(data_diff))
308 | cl_diff = np.array([-cl_value, cl_value])
309 | im.set_clim(cl_diff)
310 | plt.colorbar()
311 | if wells:
312 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
313 | if field in trunc.keys():
314 | plt.title('Posterior - Prior, ' + prefix + field + ' (trunc ' + str(trunc[field]) + ')')
315 | else:
316 | plt.title('Posterior - Prior, ' + prefix + field)
317 | if save_figure is True:
318 | filename = str(path_to_figures) + '/' + field + '_diff_avg'
319 | plt.savefig(filename)
320 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
321 |
322 | plt.show()
323 |
324 |
325 | def plot_scalar(param, iter=None):
326 | """
327 | Plot scalar parameters
328 |
329 | Input:
330 | - param : string spesifying the property
331 | - iter : plot results at this iteration
332 |
333 | % Copyright (c) 2023 NORCE, All Rights Reserved.
334 |
335 | """
336 |
337 |
338 | # Load debug steps
339 | post = np.load(str(path_to_files) + f'/debug_analysis_step_{iter}.npz', allow_pickle=True)['state'][()][param]
340 | post = post.flatten()
341 | post_mean = np.mean(post)
342 |
343 | # Load Prior field
344 | prior = np.load(str(path_to_files) + '/prior.npz')[param]
345 | prior = prior.flatten()
346 | prior_mean = np.mean(prior)
347 |
348 | # Plotting
349 | plt.figure()
350 | plt.hist(prior, 10, density=True, facecolor='b', alpha=0.3, label='Prior')
351 | plt.hist(post, 10, density=True, facecolor='g', alpha=0.3, label='Posterior')
352 | ylim = plt.gca().get_ylim()
353 | plt.plot(prior_mean * np.ones(2), np.array(ylim), 'b')
354 | plt.plot(post_mean * np.ones(2), np.array(ylim), 'g')
355 | plt.legend()
356 | plt.title('Distribution for ' + param)
357 | if save_figure is True:
358 | plt.savefig(str(path_to_figures) + '/' + param)
359 |
360 | plt.show()
361 |
362 |
363 | def export_to_grid(propname):
364 | """
365 | Export a property to .grdecl file (for inspection in e.g., ResInsight)
366 |
367 | Input:
368 | - propname: string spesifying property name
369 |
370 | % Copyright (c) 2023 NORCE, All Rights Reserved.
371 |
372 | """
373 |
374 | # Load posterior property
375 | post = np.load(str(path_to_files) + f'/debug_analysis_step_{num_iter}.npz',
376 | allow_pickle=True)['state'][()][propname]
377 | if 'perm' in propname:
378 | post = np.exp(post)
379 |
380 | # Load prior property
381 | prior = np.load(str(path_to_files) + '/prior.npz')[propname]
382 | if 'perm' in propname:
383 | prior = np.exp(prior)
384 |
385 | # Active gridcells
386 | if os.path.exists(str(path_to_files) + '/actnum.npz'):
387 | actnum = np.load(str(path_to_files) + '/actnum.npz')['actnum']
388 | else:
389 | actnum = np.ones(prior.shape[0], dtype=bool)
390 |
391 | # Make the property on full grid
392 | field_post = np.zeros(actnum.shape)
393 | field_prior = np.zeros(actnum.shape)
394 | field_post[actnum] = post.mean(1)
395 | field_prior[actnum] = prior.mean(1)
396 | dim = len(actnum)
397 |
398 | trans_dict = {}
399 |
400 | def _lookup(kw):
401 | return trans_dict[kw] if kw in trans_dict else kw
402 |
403 | # Write a quantity to the grid as a grdecl file
404 | with open(path_to_files + '/prior_' + propname + '.grdecl', 'wb') as fileobj:
405 | grdecl._write_kw(fileobj, 'prior_'+propname, field_prior, _lookup, dim)
406 | with open(path_to_files + '/posterior_' + propname + '.grdecl', 'wb') as fileobj:
407 | grdecl._write_kw(fileobj, 'posterior_'+propname, field_post, _lookup, dim)
408 |
--------------------------------------------------------------------------------
/plot_data.py:
--------------------------------------------------------------------------------
1 | import sys
2 | import numpy as np
3 | import matplotlib.pyplot as plt
4 | import matplotlib.patches as pat
5 | import matplotlib.collections as mcoll
6 | from matplotlib.colors import ListedColormap
7 | import pickle
8 | from scipy.interpolate import interp1d
9 | from scipy.io import loadmat
10 | import datetime as dt
11 | import cv2
12 | import os
13 |
14 |
15 | # Set paths and find results
16 | path_to_files = '.'
17 | path_to_figures = './Figures' # Save here
18 | save_figure = True # Use True for saving the figures
19 | if not os.path.exists(path_to_figures):
20 | os.mkdir(path_to_figures)
21 | files = os.listdir(path_to_files)
22 | results = [name for name in files if "debug_analysis_step" in name]
23 | num_iter = len(results)
24 | seis_data = ['sim2seis', 'bulkimp']
25 | non_scalar = seis_data + ['rft']
26 |
27 |
28 | def plot_prod():
29 | """
30 | Plot all production data
31 |
32 | % Copyright (c) 2023 NORCE, All Rights Reserved.
33 | """
34 |
35 | obs = np.load(str(path_to_files) + '/obs_var.npz', allow_pickle=True)['obs']
36 | data_dates = np.genfromtxt('true_data_index.csv', delimiter=',')
37 | assim_index = np.genfromtxt('assim_index.csv', delimiter=',')
38 | assim_index = assim_index.astype(int)
39 |
40 | pred1 = np.load(str(path_to_files) + '/prior_forecast.npz', allow_pickle=True)['pred_data']
41 | pred2 = np.load(str(path_to_files) + f'/debug_analysis_step_{num_iter}.npz', allow_pickle=True)['pred_data']
42 | ref_data = []
43 | if os.path.exists(str(path_to_files) + '/ref_data.p'):
44 | with open(str(path_to_files) + '/ref_data.p', 'rb') as f:
45 | ref_data = pickle.load(f)
46 |
47 | # Time_step
48 | tot_key = [el for el in obs[0].keys() if el not in non_scalar]
49 | x_days = [data_dates[i] for i in assim_index]
50 | ne = pred1[0][list(pred1[0].keys())[0]].shape[1] # get the ensemble size from here
51 |
52 | for k in tot_key:
53 |
54 | # Find a well number
55 | n = tot_key.index(k)
56 | my_data = tot_key[n]
57 | print(my_data)
58 | t1, t2 = my_data.split()
59 |
60 | data_obs = []
61 | data1 = []
62 | data2 = []
63 | ref = []
64 | for ind, i in enumerate(assim_index):
65 | data_obs.append(obs[i][my_data])
66 | data1.append(pred1[i][my_data])
67 | data2.append(pred2[i][my_data])
68 | if ref_data:
69 | if my_data in ref_data[ind].keys():
70 | ref.append(ref_data[ind][my_data])
71 | else:
72 | ref.append(None)
73 |
74 | n_d_obs = np.empty(0)
75 | x_d = np.empty(0)
76 | n_d1 = np.empty((ne, 0))
77 | x_d1 = np.empty(0)
78 | n_d2 = np.empty((ne, 0))
79 | x_d2 = np.empty(0)
80 | n_d_ref = np.empty(0)
81 | x_d_ref = np.empty(0)
82 | for ind, i in enumerate(assim_index):
83 | if data_obs[ind] is not None:
84 | n_d_obs = np.append(n_d_obs, data_obs[ind])
85 | x_d = np.append(x_d, x_days[ind])
86 | if ref_data and ref[ind] is not None:
87 | n_d_ref = np.append(n_d_ref, ref[ind])
88 | x_d_ref = np.append(x_d_ref, x_days[ind])
89 | if data_obs[ind] is not None:
90 | n_d1 = np.append(n_d1, data1[ind].transpose(), axis=1)
91 | x_d1 = np.append(x_d1, x_days[ind])
92 | if data_obs[ind] is not None:
93 | n_d2 = np.append(n_d2, data2[ind].transpose(), axis=1)
94 | x_d2 = np.append(x_d2, x_days[ind])
95 |
96 | f = plt.figure()
97 | ax1 = plt.subplot(2, 1, 1)
98 | plt.plot(x_d1, np.percentile(n_d1, 90, axis=0), 'k')
99 | plt.plot(x_d1, np.percentile(n_d1, 100, axis=0), ':k')
100 | plt.plot(x_d1, np.percentile(n_d1, 10, axis=0), 'k')
101 | plt.plot(x_d1, np.percentile(n_d1, 0, axis=0), ':k')
102 | p1 = plt.plot(x_d, n_d_obs, '.r')
103 | p2 = None
104 | if ref_data:
105 | p2 = plt.plot(x_d_ref, n_d_ref, 'g')
106 | ax1.fill_between(x_d1, np.percentile(n_d1, 100, axis=0), np.percentile(n_d1, 0, axis=0), facecolor='lightgrey')
107 | ax1.fill_between(x_d1, np.percentile(n_d1, 90, axis=0), np.percentile(n_d1, 10, axis=0), facecolor='grey')
108 | p3 = ax1.fill(np.nan, np.nan, 'lightgrey')
109 | p4 = ax1.fill(np.nan, np.nan, 'grey')
110 | p5 = plt.plot(x_d1, np.mean(n_d1, axis=0), 'orange')
111 | if p2:
112 | ax1.legend([(p1[0],), (p2[0],), (p5[0],), (p3[0],), (p4[0],)],
113 | ['obs', 'ref', 'mean', '0-100 pctl', '10-90 pctl'],
114 | loc=4, prop={"size": 8}, bbox_to_anchor=(1, -0.5), ncol=2)
115 | else:
116 | ax1.legend([(p1[0],), (p5[0],), (p3[0],), (p4[0],)],
117 | ['obs', 'mean', '0-100 pctl', '10-90 pctl'],
118 | loc=4, prop={"size": 8}, bbox_to_anchor=(1, -0.5), ncol=2)
119 | plt.title(str(t1) + ' initial forcast, at Well: ' + str(t2))
120 | ylim = plt.gca().get_ylim()
121 | ax1.set_ylim(ylim)
122 | plt.xlabel('Days')
123 | if "WBHP" in my_data:
124 | plt.ylabel('Bar')
125 | else:
126 | plt.ylabel('Sm3/Day')
127 |
128 | ax2 = plt.subplot(2, 1, 2)
129 | plt.plot(x_d2, np.percentile(n_d2, 90, axis=0), 'k')
130 | plt.plot(x_d2, np.percentile(n_d2, 100, axis=0), ':k')
131 | plt.plot(x_d2, np.percentile(n_d2, 10, axis=0), 'k')
132 | plt.plot(x_d2, np.percentile(n_d2, 0, axis=0), ':k')
133 | plt.plot(x_d, n_d_obs, '.r')
134 | if ref_data:
135 | plt.plot(x_d_ref, n_d_ref, 'g')
136 | ax2.fill_between(x_d2, np.percentile(n_d2, 100, axis=0), np.percentile(n_d2, 0, axis=0), facecolor='lightgrey')
137 | ax2.fill_between(x_d2, np.percentile(n_d2, 90, axis=0), np.percentile(n_d2, 10, axis=0), facecolor='grey')
138 | plt.plot(x_d2, np.mean(n_d2, axis=0), 'orange')
139 | plt.title(str(t1) + ' final forcast, at Well: ' + str(t2))
140 | f.tight_layout(pad=0.5)
141 | plt.xlabel('Days')
142 | if "WBHP" in my_data:
143 | plt.ylabel('Bar')
144 | else:
145 | plt.ylabel('Sm3/Day')
146 | if save_figure is True:
147 | plt.savefig(str(path_to_figures) + '/' + str(t2) + '_' + str(t1) + '.png', format='png')
148 |
149 | ############
150 | plt.show()
151 | plt.close('all')
152 |
153 |
154 | def plot_rft():
155 | """
156 | Plot RFT data
157 |
158 | % Copyright (c) 2023 NORCE, All Rights Reserved.
159 | """
160 |
161 | obs = np.load(str(path_to_files) + '/obs_var.npz', allow_pickle=True)['obs']
162 | assim_index = np.genfromtxt('assim_index.csv', delimiter=',')
163 | assim_index = assim_index.astype(int)
164 |
165 | pred1 = np.load(str(path_to_files) + '/prior_forecast.npz', allow_pickle=True)['pred_data']
166 | pred2 = np.load(str(path_to_files) + f'/debug_analysis_step_{num_iter}.npz', allow_pickle=True)['pred_data']
167 | if os.path.exists(str(path_to_files) + '/ref_rft_data.p'):
168 | with open(str(path_to_files) + '/ref_rft_data.p', 'rb') as f:
169 | ref_rft_data = pickle.load(f)
170 | else:
171 | print('RFT data not present')
172 | sys.exit()
173 |
174 | # Total number of time to collect the data
175 | tot_key = [el for el in obs[0].keys() if 'rft_' in el]
176 |
177 | for _ in tot_key:
178 |
179 | my_data = tot_key[n]
180 | type, well = my_data.split()
181 | depth = np.load(well + '_rft_ref_depth.npz')['arr_0']
182 |
183 | print(my_data)
184 |
185 | data_obs = np.empty([])
186 | data1 = np.empty([])
187 | data2 = np.empty([])
188 | for ind, i in enumerate(assim_index):
189 | if obs[i][my_data] is not None:
190 | data_obs = obs[i][my_data]
191 | data1 = pred1[i][my_data]
192 | data2 = pred2[i][my_data]
193 | if well in ref_rft_data.keys():
194 | ref_pressure = ref_rft_data[well][:, 1]
195 | ref_depth = ref_rft_data[well][:, 0]
196 | interp = interp1d(ref_depth, ref_pressure, kind='linear', bounds_error=False,
197 | fill_value=(ref_pressure[0], ref_pressure[-1]))
198 | ref_pressure = interp(depth)
199 | else:
200 | continue
201 |
202 | f = plt.figure()
203 | plt.subplot(1, 2, 1)
204 | plt.plot(data1, depth, '.k')
205 | plt.plot(ref_pressure, depth, 'xg', markersize=12)
206 | plt.plot(data_obs, depth, '.r')
207 | plt.gca().invert_yaxis()
208 | plt.gca().ticklabel_format(useOffset=False)
209 | xlim = plt.gca().get_xlim()
210 | plt.title('Initial RFT at Well: ' + well)
211 | plt.xlabel('Pressure [Bar]')
212 | plt.ylabel('Total vertical depth [m]')
213 |
214 | plt.subplot(1, 2, 2)
215 | plt.plot(data2, depth, '.k')
216 | plt.plot(ref_pressure, depth, 'xg', markersize=12)
217 | plt.plot(data_obs, depth, '.r')
218 | plt.gca().invert_yaxis()
219 | plt.gca().set_xlim(xlim)
220 | plt.gca().ticklabel_format(useOffset=False)
221 | f.tight_layout(pad=3.0)
222 | plt.title('Final RFT at Well: ' + well)
223 | plt.xlabel('Pressure [Bar]')
224 | plt.ylabel('Total vertical depth [m]')
225 | plt.savefig(str(path_to_figures) + '/' + well + '_rft.png', format='png')
226 |
227 | ############
228 | plt.show()
229 | plt.close('all')
230 |
231 |
232 | def plot_seis_2d(scaling=1.0, vintage=0):
233 | """
234 | Plot seismic 2D data (e.g. amplitude maps)
235 |
236 | Input:
237 | - scaling: if scaling of seismic data is used during data assimilation, this input can be used to convert back
238 | to the original values
239 | - vintage: plot this vintage
240 |
241 | % Copyright (c) 2023 NORCE, All Rights Reserved.
242 |
243 | """
244 |
245 | wells = None
246 | if os.path.exists('wells.npz'):
247 | wells = np.load('wells.npz')['wells']
248 |
249 | assim_index = np.genfromtxt('assim_index.csv', delimiter=',')
250 | assim_index = assim_index.astype(int)
251 | obs = np.load(str(path_to_files) + '/obs_var.npz', allow_pickle=True)['obs']
252 | obs_rec = None
253 | if os.path.exists('prior_forecast_rec.npz'): # the amplitude map is the actual data
254 | obs_rec = np.load(str(path_to_files) + f'/truedata_rec_{vintage}.npz', allow_pickle=True)['arr_0']
255 | pred1 = np.load(str(path_to_files) + '/prior_forecast_rec.npz', allow_pickle=True)['arr_0']
256 | pred2 = np.load(str(path_to_files) + '/rec_results.p', allow_pickle=True)
257 | else:
258 | pred1 = np.load(str(path_to_files) + '/prior_forecast.npz', allow_pickle=True)['pred_data']
259 | pred2 = np.load(str(path_to_files) + f'/debug_analysis_step_{num_iter}.npz', allow_pickle=True)['pred_data']
260 |
261 | # get the data
262 | data_obs = np.empty([])
263 | data1 = np.empty([])
264 | data2 = np.empty([])
265 | current_vint = 0
266 | for i, key in ((i, key) for _, i in enumerate(assim_index) for key in seis_data):
267 | if key in obs[i] and obs[i][key] is not None:
268 | if current_vint < vintage:
269 | current_vint += 1
270 | continue
271 | if type(pred2) is list:
272 | data1 = pred1[current_vint, :, :] / scaling
273 | data1 = data1.T
274 | data2 = pred2[current_vint] / scaling
275 | data_obs = obs_rec / scaling
276 | else:
277 | data1 = pred1[i][key] / scaling
278 | data2 = pred2[i][key] / scaling
279 | data_obs = obs[i][key] / scaling
280 | break
281 |
282 | # map to 2D
283 | if os.path.exists(f'mask_{vintage}.npz'):
284 | mask = np.load(f'mask_{vintage}.npz', allow_pickle=True)['mask']
285 | else:
286 | print('Mask is required to plot 2D data!')
287 | sys.exit()
288 | if os.path.exists('utm.mat'):
289 | sx = loadmat('utm.mat')['sx']
290 | sy = loadmat('utm.mat')['sy']
291 | else:
292 | sx = np.linspace(0, mask.shape[1], num=mask.shape[1])
293 | sy = np.linspace(mask.shape[0], 0, num=mask.shape[0])
294 |
295 | data = np.nan * np.ones(mask.shape)
296 | data[mask] = data_obs
297 | cl = np.array([np.min(data_obs), np.max(data_obs)])
298 | data1_mean = np.nan * np.ones(mask.shape)
299 | data1_mean[mask] = np.mean(data1, 1)
300 | data2_mean = np.nan * np.ones(mask.shape)
301 | data2_mean[mask] = np.mean(data2, 1)
302 | data1_std = np.nan * np.ones(mask.shape)
303 | data1_std[mask] = np.std(data1, 1)
304 | data2_std = np.nan * np.ones(mask.shape)
305 | data2_std[mask] = np.std(data2, 1)
306 | data1_min = np.nan * np.ones(mask.shape)
307 | data1_min[mask] = np.min(data1, 1)
308 | data2_min = np.nan * np.ones(mask.shape)
309 | data2_min[mask] = np.min(data2, 1)
310 | data1_max = np.nan * np.ones(mask.shape)
311 | data1_max[mask] = np.max(data1, 1)
312 | data2_max = np.nan * np.ones(mask.shape)
313 | data2_max[mask] = np.max(data2, 1)
314 | data_diff = data2_mean - data1_mean
315 | data_diff[np.abs(data_diff) < 0.01] = np.nan
316 |
317 | # compute the misfit
318 | v = data1_mean.flatten() - data.flatten()
319 | n = np.count_nonzero(~np.isnan(v))
320 | data1_misfit_mean = np.nansum(np.abs(v)) / n
321 | v = data2_mean.flatten() - data.flatten()
322 | n = np.count_nonzero(~np.isnan(v))
323 | data2_misfit_mean = np.nansum(np.abs(v)) / n
324 | data1_misfit_mean_str = str(data1_misfit_mean)
325 | data2_misfit_mean_str = str(data2_misfit_mean)
326 | reduction_str = str((data1_misfit_mean - data2_misfit_mean) * 100 / data1_misfit_mean)
327 | print('Initial misfit: ' + data1_misfit_mean_str)
328 | print('Final misfit : ' + data2_misfit_mean_str)
329 | print('Reduction (%) : ' + reduction_str)
330 |
331 | colorm = 'viridis'
332 | plt.figure()
333 | im = plt.pcolormesh(sx, sy, data, cmap=colorm, shading='auto')
334 | im.set_clim(cl)
335 | plt.colorbar()
336 | if wells:
337 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
338 | plt.title('Average data top reservoir')
339 | filename = str(path_to_figures) + '/data_true' + '_vint' + str(vintage)
340 | plt.savefig(filename)
341 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
342 |
343 | plt.figure()
344 | im = plt.pcolormesh(sx, sy, data1_mean, cmap=colorm, shading='auto')
345 | im.set_clim(cl)
346 | plt.colorbar()
347 | if wells:
348 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
349 | plt.title('Initial simulated mean')
350 | filename = str(path_to_figures) + '/data_mean_initial' + '_vint' + str(vintage)
351 | plt.savefig(filename)
352 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
353 |
354 | plt.figure()
355 | im = plt.pcolormesh(sx, sy, data2_mean, cmap=colorm, shading='auto')
356 | im.set_clim(cl)
357 | plt.colorbar()
358 | if wells:
359 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
360 | plt.title('Final simulated mean')
361 | filename = str(path_to_figures) + '/data_mean_final' + '_vint' + str(vintage)
362 | plt.savefig(filename)
363 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
364 |
365 | plt.figure()
366 | im = plt.pcolormesh(sx, sy, data_diff, cmap='seismic', shading='auto')
367 | cl_value = np.nanmax(np.abs(data_diff))
368 | cl_diff = np.array([-cl_value, cl_value])
369 | im.set_clim(cl_diff)
370 | plt.colorbar()
371 | if wells:
372 | plt.plot(wells[0], wells[1], 'ws', markersize=3, mfc='black') # plot wells
373 | plt.title('Final - Initial (trunc 0.01)')
374 | filename = str(path_to_figures) + '/data_mean_diff' + '_vint' + str(vintage)
375 | plt.savefig(filename)
376 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
377 |
378 | plt.figure()
379 | plt.pcolormesh(sx, sy, data1_std, cmap=colorm, shading='auto')
380 | plt.colorbar()
381 | plt.title('Initial seismic std')
382 | filename = str(path_to_figures) + '/data_std_initial' + '_vint' + str(vintage)
383 | plt.savefig(filename)
384 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
385 |
386 | plt.figure()
387 | plt.pcolormesh(sx, sy, data2_std, cmap=colorm, shading='auto')
388 | plt.colorbar()
389 | plt.title('Final seismic std')
390 | filename = str(path_to_figures) + '/data_std_final' + '_vint' + str(vintage)
391 | plt.savefig(filename)
392 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
393 |
394 | plt.figure()
395 | im = plt.pcolormesh(sx, sy, data1_min, cmap=colorm, shading='auto')
396 | im.set_clim(cl)
397 | plt.colorbar()
398 | plt.title('Initial seismic min')
399 | filename = str(path_to_figures) + '/data_min_initial' + '_vint' + str(vintage)
400 | plt.savefig(filename)
401 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
402 |
403 | plt.figure()
404 | data2_min = data2_min
405 | im = plt.pcolormesh(sx, sy, data2_min, cmap=colorm, shading='auto')
406 | im.set_clim(cl)
407 | plt.colorbar()
408 | plt.title('Final seismic min')
409 | filename = str(path_to_figures) + '/data_min_final' + '_vint' + str(vintage)
410 | plt.savefig(filename)
411 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
412 |
413 | plt.figure()
414 | im = plt.pcolormesh(sx, sy, data1_max, cmap=colorm, shading='auto')
415 | im.set_clim(cl)
416 | plt.colorbar()
417 | plt.title('Initial seismic max')
418 | filename = str(path_to_figures) + '/data_max_initial' + '_vint' + str(vintage)
419 | plt.savefig(filename)
420 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
421 |
422 | plt.figure()
423 | im = plt.pcolormesh(sx, sy, data2_max, cmap=colorm, shading='auto')
424 | im.set_clim(cl)
425 | plt.colorbar()
426 | plt.title('Final seismic max')
427 | filename = str(path_to_figures) + '/data_max_final' + '_vint' + str(vintage)
428 | plt.savefig(filename)
429 | os.system('convert ' + filename + '.png' + ' -trim ' + filename + '.png')
430 |
431 | ############
432 | plt.show()
433 | plt.close('all')
434 |
435 |
436 | def plot_seis_3d(scaling=1.0, vintage=0):
437 | """
438 | Plot seismic 3D data (e.g. impedance cubes)
439 |
440 | Input:
441 | - scaling: if scaling of seismic data is used during data assimilation, this input can be used to convert back
442 | to the original values
443 | - vintage: plot this vintage
444 |
445 | % Copyright (c) 2023 NORCE, All Rights Reserved.
446 |
447 | """
448 |
449 | # Use mayavi package
450 | from mayavi import mlab
451 |
452 | assim_index = np.genfromtxt('assim_index.csv', delimiter=',')
453 | assim_index = assim_index.astype(int)
454 | obs = np.load(str(path_to_files) + '/obs_var.npz', allow_pickle=True)['obs']
455 | obs_rec = None
456 | if os.path.exists('prior_forecast_rec.npz'): # the amplitude map is the actual data
457 | obs_rec = np.load(str(path_to_files) + f'/truedata_rec_{vintage}.npz', allow_pickle=True)['arr_0']
458 | pred1 = np.load(str(path_to_files) + '/prior_forecast_rec.npz', allow_pickle=True)['arr_0']
459 | pred2 = np.load(str(path_to_files) + '/rec_results.p', allow_pickle=True)
460 | else:
461 | pred1 = np.load(str(path_to_files) + '/prior_forecast.npz', allow_pickle=True)['pred_data']
462 | pred2 = np.load(str(path_to_files) + f'/debug_analysis_step_{num_iter}.npz', allow_pickle=True)['pred_data']
463 |
464 | # get the data
465 | data_obs = np.empty([])
466 | data1 = np.empty([])
467 | data2 = np.empty([])
468 | current_vint = 0
469 | for i, key in ((i, key) for _, i in enumerate(assim_index) for key in seis_data):
470 | if key in obs[i] and obs[i][key] is not None:
471 | if current_vint < vintage:
472 | current_vint += 1
473 | continue
474 | if type(pred2) is list:
475 | data1 = pred1[current_vint, :, :] / scaling
476 | data1 = data1.T
477 | data2 = pred2[current_vint] / scaling
478 | data_obs = obs_rec / scaling
479 | else:
480 | data1 = pred1[i][key] / scaling
481 | data2 = pred2[i][key] / scaling
482 | data_obs = obs[i][key] / scaling
483 | break
484 |
485 | # map to 2D
486 | if os.path.exists(f'mask_{vintage}.npz'):
487 | mask = np.load(f'mask_{vintage}.npz', allow_pickle=True)['mask']
488 | else:
489 | print('Mask is required to plot 2D data!')
490 | sys.exit()
491 |
492 | data = np.zeros(mask.shape)
493 | data[mask] = data_obs / np.max(np.abs(data_obs.flatten()))
494 | data1_mean = np.zeros(mask.shape)
495 | data1_mean[mask] = np.mean(data1, 1)
496 | data1_mean = data1_mean / np.max(np.abs(data1_mean))
497 | data2_mean = np.zeros(mask.shape)
498 | data2_mean[mask] = np.mean(data2, 1)
499 | data2_mean = data2_mean / np.max(np.abs(data2_mean))
500 |
501 | fig = mlab.figure(size=(800, 800), bgcolor=(1, 1, 1), fgcolor=(0., 0., 0.))
502 | src = mlab.pipeline.scalar_field(np.abs(data))
503 | mlab.pipeline.volume(src, vmin=.2, vmax=.8)
504 | mlab.colorbar()
505 | mlab.title('True signal (normalized)', color=(0, 0, 0), size=0.5)
506 | filename = str(path_to_figures) + '/data_true' + '_vint' + str(vintage) + '.png'
507 | mlab.savefig(filename, figure=fig)
508 |
509 | fig = mlab.figure(size=(800, 800), bgcolor=(1, 1, 1), fgcolor=(0., 0., 0.))
510 | src = mlab.pipeline.scalar_field(np.abs(data1_mean))
511 | mlab.pipeline.volume(src, vmin=0.2, vmax=0.8)
512 | mlab.colorbar()
513 | mlab.title('Sim signal prior (normalized)', color=(0, 0, 0), size=0.5)
514 | filename = str(path_to_figures) + '/data_mean_initial' + '_vint' + str(vintage) + '.png'
515 | mlab.savefig(filename, figure=fig)
516 |
517 | fig = mlab.figure(size=(800, 800), bgcolor=(1, 1, 1), fgcolor=(0., 0., 0.))
518 | src = mlab.pipeline.scalar_field(np.abs(data2_mean))
519 | mlab.pipeline.volume(src, vmin=0.2, vmax=0.8)
520 | mlab.colorbar()
521 | mlab.title('Sim signal posterior (normalized)', color=(0, 0, 0), size=0.5)
522 | filename = str(path_to_figures) + '/data_mean_final' + '_vint' + str(vintage) + '.png'
523 | mlab.savefig(filename, figure=fig)
524 |
525 | fig = mlab.figure(size=(800, 800), bgcolor=(1, 1, 1), fgcolor=(0., 0., 0.))
526 | src = mlab.pipeline.scalar_field(np.abs(np.abs(data2_mean) - np.abs(data1_mean)))
527 | mlab.pipeline.volume(src, vmin=0.2, vmax=0.8)
528 | mlab.colorbar()
529 | mlab.title('Sim diff (normalized)', color=(0, 0, 0), size=0.5)
530 | filename = str(path_to_figures) + '/data_diff' + '_vint' + str(vintage) + '.png'
531 | mlab.savefig(filename, figure=fig)
532 |
533 | mlab.show()
534 |
535 |
536 |
--------------------------------------------------------------------------------
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259 | written offer, valid for at least three years and valid for as
260 | long as you offer spare parts or customer support for that product
261 | model, to give anyone who possesses the object code either (1) a
262 | copy of the Corresponding Source for all the software in the
263 | product that is covered by this License, on a durable physical
264 | medium customarily used for software interchange, for a price no
265 | more than your reasonable cost of physically performing this
266 | conveying of source, or (2) access to copy the
267 | Corresponding Source from a network server at no charge.
268 |
269 | c) Convey individual copies of the object code with a copy of the
270 | written offer to provide the Corresponding Source. This
271 | alternative is allowed only occasionally and noncommercially, and
272 | only if you received the object code with such an offer, in accord
273 | with subsection 6b.
274 |
275 | d) Convey the object code by offering access from a designated
276 | place (gratis or for a charge), and offer equivalent access to the
277 | Corresponding Source in the same way through the same place at no
278 | further charge. You need not require recipients to copy the
279 | Corresponding Source along with the object code. If the place to
280 | copy the object code is a network server, the Corresponding Source
281 | may be on a different server (operated by you or a third party)
282 | that supports equivalent copying facilities, provided you maintain
283 | clear directions next to the object code saying where to find the
284 | Corresponding Source. Regardless of what server hosts the
285 | Corresponding Source, you remain obligated to ensure that it is
286 | available for as long as needed to satisfy these requirements.
287 |
288 | e) Convey the object code using peer-to-peer transmission, provided
289 | you inform other peers where the object code and Corresponding
290 | Source of the work are being offered to the general public at no
291 | charge under subsection 6d.
292 |
293 | A separable portion of the object code, whose source code is excluded
294 | from the Corresponding Source as a System Library, need not be
295 | included in conveying the object code work.
296 |
297 | A "User Product" is either (1) a "consumer product", which means any
298 | tangible personal property which is normally used for personal, family,
299 | or household purposes, or (2) anything designed or sold for incorporation
300 | into a dwelling. In determining whether a product is a consumer product,
301 | doubtful cases shall be resolved in favor of coverage. For a particular
302 | product received by a particular user, "normally used" refers to a
303 | typical or common use of that class of product, regardless of the status
304 | of the particular user or of the way in which the particular user
305 | actually uses, or expects or is expected to use, the product. A product
306 | is a consumer product regardless of whether the product has substantial
307 | commercial, industrial or non-consumer uses, unless such uses represent
308 | the only significant mode of use of the product.
309 |
310 | "Installation Information" for a User Product means any methods,
311 | procedures, authorization keys, or other information required to install
312 | and execute modified versions of a covered work in that User Product from
313 | a modified version of its Corresponding Source. The information must
314 | suffice to ensure that the continued functioning of the modified object
315 | code is in no case prevented or interfered with solely because
316 | modification has been made.
317 |
318 | If you convey an object code work under this section in, or with, or
319 | specifically for use in, a User Product, and the conveying occurs as
320 | part of a transaction in which the right of possession and use of the
321 | User Product is transferred to the recipient in perpetuity or for a
322 | fixed term (regardless of how the transaction is characterized), the
323 | Corresponding Source conveyed under this section must be accompanied
324 | by the Installation Information. But this requirement does not apply
325 | if neither you nor any third party retains the ability to install
326 | modified object code on the User Product (for example, the work has
327 | been installed in ROM).
328 |
329 | The requirement to provide Installation Information does not include a
330 | requirement to continue to provide support service, warranty, or updates
331 | for a work that has been modified or installed by the recipient, or for
332 | the User Product in which it has been modified or installed. Access to a
333 | network may be denied when the modification itself materially and
334 | adversely affects the operation of the network or violates the rules and
335 | protocols for communication across the network.
336 |
337 | Corresponding Source conveyed, and Installation Information provided,
338 | in accord with this section must be in a format that is publicly
339 | documented (and with an implementation available to the public in
340 | source code form), and must require no special password or key for
341 | unpacking, reading or copying.
342 |
343 | 7. Additional Terms.
344 |
345 | "Additional permissions" are terms that supplement the terms of this
346 | License by making exceptions from one or more of its conditions.
347 | Additional permissions that are applicable to the entire Program shall
348 | be treated as though they were included in this License, to the extent
349 | that they are valid under applicable law. If additional permissions
350 | apply only to part of the Program, that part may be used separately
351 | under those permissions, but the entire Program remains governed by
352 | this License without regard to the additional permissions.
353 |
354 | When you convey a copy of a covered work, you may at your option
355 | remove any additional permissions from that copy, or from any part of
356 | it. (Additional permissions may be written to require their own
357 | removal in certain cases when you modify the work.) You may place
358 | additional permissions on material, added by you to a covered work,
359 | for which you have or can give appropriate copyright permission.
360 |
361 | Notwithstanding any other provision of this License, for material you
362 | add to a covered work, you may (if authorized by the copyright holders of
363 | that material) supplement the terms of this License with terms:
364 |
365 | a) Disclaiming warranty or limiting liability differently from the
366 | terms of sections 15 and 16 of this License; or
367 |
368 | b) Requiring preservation of specified reasonable legal notices or
369 | author attributions in that material or in the Appropriate Legal
370 | Notices displayed by works containing it; or
371 |
372 | c) Prohibiting misrepresentation of the origin of that material, or
373 | requiring that modified versions of such material be marked in
374 | reasonable ways as different from the original version; or
375 |
376 | d) Limiting the use for publicity purposes of names of licensors or
377 | authors of the material; or
378 |
379 | e) Declining to grant rights under trademark law for use of some
380 | trade names, trademarks, or service marks; or
381 |
382 | f) Requiring indemnification of licensors and authors of that
383 | material by anyone who conveys the material (or modified versions of
384 | it) with contractual assumptions of liability to the recipient, for
385 | any liability that these contractual assumptions directly impose on
386 | those licensors and authors.
387 |
388 | All other non-permissive additional terms are considered "further
389 | restrictions" within the meaning of section 10. If the Program as you
390 | received it, or any part of it, contains a notice stating that it is
391 | governed by this License along with a term that is a further
392 | restriction, you may remove that term. If a license document contains
393 | a further restriction but permits relicensing or conveying under this
394 | License, you may add to a covered work material governed by the terms
395 | of that license document, provided that the further restriction does
396 | not survive such relicensing or conveying.
397 |
398 | If you add terms to a covered work in accord with this section, you
399 | must place, in the relevant source files, a statement of the
400 | additional terms that apply to those files, or a notice indicating
401 | where to find the applicable terms.
402 |
403 | Additional terms, permissive or non-permissive, may be stated in the
404 | form of a separately written license, or stated as exceptions;
405 | the above requirements apply either way.
406 |
407 | 8. Termination.
408 |
409 | You may not propagate or modify a covered work except as expressly
410 | provided under this License. Any attempt otherwise to propagate or
411 | modify it is void, and will automatically terminate your rights under
412 | this License (including any patent licenses granted under the third
413 | paragraph of section 11).
414 |
415 | However, if you cease all violation of this License, then your
416 | license from a particular copyright holder is reinstated (a)
417 | provisionally, unless and until the copyright holder explicitly and
418 | finally terminates your license, and (b) permanently, if the copyright
419 | holder fails to notify you of the violation by some reasonable means
420 | prior to 60 days after the cessation.
421 |
422 | Moreover, your license from a particular copyright holder is
423 | reinstated permanently if the copyright holder notifies you of the
424 | violation by some reasonable means, this is the first time you have
425 | received notice of violation of this License (for any work) from that
426 | copyright holder, and you cure the violation prior to 30 days after
427 | your receipt of the notice.
428 |
429 | Termination of your rights under this section does not terminate the
430 | licenses of parties who have received copies or rights from you under
431 | this License. If your rights have been terminated and not permanently
432 | reinstated, you do not qualify to receive new licenses for the same
433 | material under section 10.
434 |
435 | 9. Acceptance Not Required for Having Copies.
436 |
437 | You are not required to accept this License in order to receive or
438 | run a copy of the Program. Ancillary propagation of a covered work
439 | occurring solely as a consequence of using peer-to-peer transmission
440 | to receive a copy likewise does not require acceptance. However,
441 | nothing other than this License grants you permission to propagate or
442 | modify any covered work. These actions infringe copyright if you do
443 | not accept this License. Therefore, by modifying or propagating a
444 | covered work, you indicate your acceptance of this License to do so.
445 |
446 | 10. Automatic Licensing of Downstream Recipients.
447 |
448 | Each time you convey a covered work, the recipient automatically
449 | receives a license from the original licensors, to run, modify and
450 | propagate that work, subject to this License. You are not responsible
451 | for enforcing compliance by third parties with this License.
452 |
453 | An "entity transaction" is a transaction transferring control of an
454 | organization, or substantially all assets of one, or subdividing an
455 | organization, or merging organizations. If propagation of a covered
456 | work results from an entity transaction, each party to that
457 | transaction who receives a copy of the work also receives whatever
458 | licenses to the work the party's predecessor in interest had or could
459 | give under the previous paragraph, plus a right to possession of the
460 | Corresponding Source of the work from the predecessor in interest, if
461 | the predecessor has it or can get it with reasonable efforts.
462 |
463 | You may not impose any further restrictions on the exercise of the
464 | rights granted or affirmed under this License. For example, you may
465 | not impose a license fee, royalty, or other charge for exercise of
466 | rights granted under this License, and you may not initiate litigation
467 | (including a cross-claim or counterclaim in a lawsuit) alleging that
468 | any patent claim is infringed by making, using, selling, offering for
469 | sale, or importing the Program or any portion of it.
470 |
471 | 11. Patents.
472 |
473 | A "contributor" is a copyright holder who authorizes use under this
474 | License of the Program or a work on which the Program is based. The
475 | work thus licensed is called the contributor's "contributor version".
476 |
477 | A contributor's "essential patent claims" are all patent claims
478 | owned or controlled by the contributor, whether already acquired or
479 | hereafter acquired, that would be infringed by some manner, permitted
480 | by this License, of making, using, or selling its contributor version,
481 | but do not include claims that would be infringed only as a
482 | consequence of further modification of the contributor version. For
483 | purposes of this definition, "control" includes the right to grant
484 | patent sublicenses in a manner consistent with the requirements of
485 | this License.
486 |
487 | Each contributor grants you a non-exclusive, worldwide, royalty-free
488 | patent license under the contributor's essential patent claims, to
489 | make, use, sell, offer for sale, import and otherwise run, modify and
490 | propagate the contents of its contributor version.
491 |
492 | In the following three paragraphs, a "patent license" is any express
493 | agreement or commitment, however denominated, not to enforce a patent
494 | (such as an express permission to practice a patent or covenant not to
495 | sue for patent infringement). To "grant" such a patent license to a
496 | party means to make such an agreement or commitment not to enforce a
497 | patent against the party.
498 |
499 | If you convey a covered work, knowingly relying on a patent license,
500 | and the Corresponding Source of the work is not available for anyone
501 | to copy, free of charge and under the terms of this License, through a
502 | publicly available network server or other readily accessible means,
503 | then you must either (1) cause the Corresponding Source to be so
504 | available, or (2) arrange to deprive yourself of the benefit of the
505 | patent license for this particular work, or (3) arrange, in a manner
506 | consistent with the requirements of this License, to extend the patent
507 | license to downstream recipients. "Knowingly relying" means you have
508 | actual knowledge that, but for the patent license, your conveying the
509 | covered work in a country, or your recipient's use of the covered work
510 | in a country, would infringe one or more identifiable patents in that
511 | country that you have reason to believe are valid.
512 |
513 | If, pursuant to or in connection with a single transaction or
514 | arrangement, you convey, or propagate by procuring conveyance of, a
515 | covered work, and grant a patent license to some of the parties
516 | receiving the covered work authorizing them to use, propagate, modify
517 | or convey a specific copy of the covered work, then the patent license
518 | you grant is automatically extended to all recipients of the covered
519 | work and works based on it.
520 |
521 | A patent license is "discriminatory" if it does not include within
522 | the scope of its coverage, prohibits the exercise of, or is
523 | conditioned on the non-exercise of one or more of the rights that are
524 | specifically granted under this License. You may not convey a covered
525 | work if you are a party to an arrangement with a third party that is
526 | in the business of distributing software, under which you make payment
527 | to the third party based on the extent of your activity of conveying
528 | the work, and under which the third party grants, to any of the
529 | parties who would receive the covered work from you, a discriminatory
530 | patent license (a) in connection with copies of the covered work
531 | conveyed by you (or copies made from those copies), or (b) primarily
532 | for and in connection with specific products or compilations that
533 | contain the covered work, unless you entered into that arrangement,
534 | or that patent license was granted, prior to 28 March 2007.
535 |
536 | Nothing in this License shall be construed as excluding or limiting
537 | any implied license or other defenses to infringement that may
538 | otherwise be available to you under applicable patent law.
539 |
540 | 12. No Surrender of Others' Freedom.
541 |
542 | If conditions are imposed on you (whether by court order, agreement or
543 | otherwise) that contradict the conditions of this License, they do not
544 | excuse you from the conditions of this License. If you cannot convey a
545 | covered work so as to satisfy simultaneously your obligations under this
546 | License and any other pertinent obligations, then as a consequence you may
547 | not convey it at all. For example, if you agree to terms that obligate you
548 | to collect a royalty for further conveying from those to whom you convey
549 | the Program, the only way you could satisfy both those terms and this
550 | License would be to refrain entirely from conveying the Program.
551 |
552 | 13. Use with the GNU Affero General Public License.
553 |
554 | Notwithstanding any other provision of this License, you have
555 | permission to link or combine any covered work with a work licensed
556 | under version 3 of the GNU Affero General Public License into a single
557 | combined work, and to convey the resulting work. The terms of this
558 | License will continue to apply to the part which is the covered work,
559 | but the special requirements of the GNU Affero General Public License,
560 | section 13, concerning interaction through a network will apply to the
561 | combination as such.
562 |
563 | 14. Revised Versions of this License.
564 |
565 | The Free Software Foundation may publish revised and/or new versions of
566 | the GNU General Public License from time to time. Such new versions will
567 | be similar in spirit to the present version, but may differ in detail to
568 | address new problems or concerns.
569 |
570 | Each version is given a distinguishing version number. If the
571 | Program specifies that a certain numbered version of the GNU General
572 | Public License "or any later version" applies to it, you have the
573 | option of following the terms and conditions either of that numbered
574 | version or of any later version published by the Free Software
575 | Foundation. If the Program does not specify a version number of the
576 | GNU General Public License, you may choose any version ever published
577 | by the Free Software Foundation.
578 |
579 | If the Program specifies that a proxy can decide which future
580 | versions of the GNU General Public License can be used, that proxy's
581 | public statement of acceptance of a version permanently authorizes you
582 | to choose that version for the Program.
583 |
584 | Later license versions may give you additional or different
585 | permissions. However, no additional obligations are imposed on any
586 | author or copyright holder as a result of your choosing to follow a
587 | later version.
588 |
589 | 15. Disclaimer of Warranty.
590 |
591 | THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
592 | APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
593 | HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
594 | OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
595 | THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
596 | PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
597 | IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
598 | ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
599 |
600 | 16. Limitation of Liability.
601 |
602 | IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
603 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
604 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
605 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
606 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
607 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
608 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
609 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
610 | SUCH DAMAGES.
611 |
612 | 17. Interpretation of Sections 15 and 16.
613 |
614 | If the disclaimer of warranty and limitation of liability provided
615 | above cannot be given local legal effect according to their terms,
616 | reviewing courts shall apply local law that most closely approximates
617 | an absolute waiver of all civil liability in connection with the
618 | Program, unless a warranty or assumption of liability accompanies a
619 | copy of the Program in return for a fee.
620 |
621 | END OF TERMS AND CONDITIONS
622 |
623 | How to Apply These Terms to Your New Programs
624 |
625 | If you develop a new program, and you want it to be of the greatest
626 | possible use to the public, the best way to achieve this is to make it
627 | free software which everyone can redistribute and change under these terms.
628 |
629 | To do so, attach the following notices to the program. It is safest
630 | to attach them to the start of each source file to most effectively
631 | state the exclusion of warranty; and each file should have at least
632 | the "copyright" line and a pointer to where the full notice is found.
633 |
634 |
635 | Copyright (C)
636 |
637 | This program is free software: you can redistribute it and/or modify
638 | it under the terms of the GNU General Public License as published by
639 | the Free Software Foundation, either version 3 of the License, or
640 | (at your option) any later version.
641 |
642 | This program is distributed in the hope that it will be useful,
643 | but WITHOUT ANY WARRANTY; without even the implied warranty of
644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
645 | GNU General Public License for more details.
646 |
647 | You should have received a copy of the GNU General Public License
648 | along with this program. If not, see .
649 |
650 | Also add information on how to contact you by electronic and paper mail.
651 |
652 | If the program does terminal interaction, make it output a short
653 | notice like this when it starts in an interactive mode:
654 |
655 | Copyright (C)
656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
657 | This is free software, and you are welcome to redistribute it
658 | under certain conditions; type `show c' for details.
659 |
660 | The hypothetical commands `show w' and `show c' should show the appropriate
661 | parts of the General Public License. Of course, your program's commands
662 | might be different; for a GUI interface, you would use an "about box".
663 |
664 | You should also get your employer (if you work as a programmer) or school,
665 | if any, to sign a "copyright disclaimer" for the program, if necessary.
666 | For more information on this, and how to apply and follow the GNU GPL, see
667 | .
668 |
669 | The GNU General Public License does not permit incorporating your program
670 | into proprietary programs. If your program is a subroutine library, you
671 | may consider it more useful to permit linking proprietary applications with
672 | the library. If this is what you want to do, use the GNU Lesser General
673 | Public License instead of this License. But first, please read
674 | .
675 |
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