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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Out:

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/v1.0.1/examples/Est_steady_het/2020-09-02_14-47-57_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: 5115
NUMBER OF DISCARDED TRIALS: 42
NORMALIZED GEOMETRIC RANGE = 0.002994
THE BEST POINT HAS IMPROVED IN LAST 100 LOOPS BY 100000.000000 PERCENT

*** Final SPOTPY summary ***
Total Duration: 1.89 seconds
Total Repetitions: 5115
Minimal objective value: 8.00673e-05
Corresponding parameter setting:
mu: -9.1813
var: 0.058086
len_scale: 46.1165
******************************

Best parameter set:
mu=-9.181297499737951, var=0.05808595138355535, len_scale=46.11645961299604
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/v1.0.1/examples/Est_steady_het/2020-09-02_14-48-02_sensitivity_db.csv' created.

*** Final SPOTPY summary ***
Total Duration: 0.54 seconds
Total Repetitions: 1158
Minimal objective value: 46.1202
Corresponding parameter setting:
mu: -7.65959
var: 3.0731
len_scale: 42.8213
Maximal objective value: 1.95459e+08
Corresponding parameter setting:
mu: -15.9734
var: 8.89563
len_scale: 22.2295
******************************

1158
Parameter First Total
mu 0.377589 0.887750
var 0.081528 0.598985
len_scale 0.003824 0.047765
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()