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/v1.1.0/examples/Est_steady_het/2021-07-29_11-56-13_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: 5110
NUMBER OF DISCARDED TRIALS: 42
NORMALIZED GEOMETRIC RANGE = 0.003953
THE BEST POINT HAS IMPROVED IN LAST 100 LOOPS BY 100000.000000 PERCENT

*** Final SPOTPY summary ***
Total Duration: 0.9 seconds
Total Repetitions: 5110
Minimal objective value: 7.71826e-05
Corresponding parameter setting:
mu: -9.18587
var: 0.0489479
len_scale: 42.2938
******************************

Best parameter set:
mu=-9.18586657552761, var=0.048947851719915544, len_scale=42.293829592216554
/home/docs/checkouts/readthedocs.org/user_builds/welltestpy/envs/v1.1.0/lib/python3.7/site-packages/numpy/core/shape_base.py:65: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.
  ary = asanyarray(ary)
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/v1.1.0/examples/Est_steady_het/2021-07-29_11-56-16_sensitivity_db.csv' created.

*** Final SPOTPY summary ***
Total Duration: 0.19 seconds
Total Repetitions: 1158
Minimal objective value: 31.014
Corresponding parameter setting:
mu: -6.83976
var: 4.75614
len_scale: 22.5106
Maximal objective value: 2.73648e+08
Corresponding parameter setting:
mu: -15.7672
var: 9.93735
len_scale: 47.1629
******************************

1158
Parameter First Total
mu 0.310016 0.888526
var 0.091657 0.674076
len_scale 0.000457 0.018306
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()