Estimate steady heterogeneous parameters

Here we demonstrate how to estimate parameters of heterogeneity, namely mean, variance and correlation length of log-transmissivity, with the aid the the extended Thiem solution in 2D.

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Initializing the  Shuffled Complex Evolution (SCE-UA) algorithm  with  5000  repetitions
The objective function will be minimized
Starting burn-in sampling...
Initialize database...
['csv', 'hdf5', 'ram', 'sql', 'custom', 'noData']
* Database file '/home/docs/checkouts/readthedocs.org/user_builds/welltestpy/checkouts/stable/examples/Est_steady_het/2023-04-18_10-39-57_db.csv' created.
Burn-in sampling completed...
Starting Complex Evolution...
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*** OPTIMIZATION SEARCH TERMINATED BECAUSE THE LIMIT
ON THE MAXIMUM NUMBER OF TRIALS
5000
HAS BEEN EXCEEDED.
SEARCH WAS STOPPED AT TRIAL NUMBER: 5077
NUMBER OF DISCARDED TRIALS: 29
NORMALIZED GEOMETRIC RANGE = 0.004575
THE BEST POINT HAS IMPROVED IN LAST 100 LOOPS BY 100000.000000 PERCENT

*** Final SPOTPY summary ***
Total Duration: 0.82 seconds
Total Repetitions: 5077
Minimal objective value: 6.17279e-05
Corresponding parameter setting:
trans_gmean: -9.18219
var: 0.0562985
len_scale: 45.3954
******************************

Best parameter set:
trans_gmean=-9.182754218030187, var=0.055172559664537685, len_scale=44.9198462337778
Initializing the  Fourier Amplitude Sensitivity Test (FAST)  with  1158  repetitions
Starting the FAST algotrithm with 1158 repetitions...
Creating FAST Matrix
Initialize database...
['csv', 'hdf5', 'ram', 'sql', 'custom', 'noData']
* Database file '/home/docs/checkouts/readthedocs.org/user_builds/welltestpy/checkouts/stable/examples/Est_steady_het/2023-04-18_10-40-00_sensitivity_db.csv' created.

*** Final SPOTPY summary ***
Total Duration: 0.16 seconds
Total Repetitions: 1158
Minimal objective value: 35.1616
Corresponding parameter setting:
trans_gmean: -8.80228
var: 0.843402
len_scale: 40.9803
Maximal objective value: 2.52512e+08
Corresponding parameter setting:
trans_gmean: -15.7887
var: 9.73318
len_scale: 47.586
******************************

1158

import welltestpy as wtp

campaign = wtp.load_campaign("Cmp_UFZ-campaign.cmp")
estimation = wtp.estimate.ExtThiem2D("Est_steady_het", campaign, generate=True)
estimation.run()
estimation.sensitivity()