Estimate steady heterogeneous parametersΒΆ

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.

  • 05 estimate steady het
  • 05 estimate steady het
  • 05 estimate steady het
  • FAST total sensitivity shares
  • 05 estimate steady het

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/v1.0.2/examples/Est_steady_het/2020-09-02_14-53-37_db.csv' created.
Burn-in sampling completed...
Starting Complex Evolution...
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3402 of 5000, minimal objective function=0.0122208, time remaining: 00:00:01
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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: 5094
NUMBER OF DISCARDED TRIALS: 36
NORMALIZED GEOMETRIC RANGE = 0.002278
THE BEST POINT HAS IMPROVED IN LAST 100 LOOPS BY 100000.000000 PERCENT

*** Final SPOTPY summary ***
Total Duration: 2.96 seconds
Total Repetitions: 5094
Minimal objective value: 0.000100502
Corresponding parameter setting:
mu: -9.1786
var: 0.0634885
len_scale: 48.2038
******************************

Best parameter set:
mu=-9.178596212953373, var=0.06348851816213621, len_scale=48.20381776187658
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/v1.0.2/examples/Est_steady_het/2020-09-02_14-53-44_sensitivity_db.csv' created.

*** Final SPOTPY summary ***
Total Duration: 0.78 seconds
Total Repetitions: 1158
Minimal objective value: 27.8183
Corresponding parameter setting:
mu: -7.5992
var: 3.24886
len_scale: 17.2772
Maximal objective value: 2.15744e+08
Corresponding parameter setting:
mu: -15.789
var: 9.429
len_scale: 35.0484
******************************

1158
Parameter First Total
mu 0.277670 0.889337
var 0.090542 0.632419
len_scale 0.004108 0.047593
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()

Total running time of the script: ( 0 minutes 11.779 seconds)

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