Estimate homogeneous parameters

Here we estimate transmissivity and storage from a pumping test campaign with the classical theis solution.

import welltestpy as wtp

campaign = wtp.load_campaign("Cmp_UFZ-campaign.cmp")
estimation = wtp.estimate.Theis("Estimate_theis", campaign, generate=True)
estimation.run()

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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/latest/examples/Estimate_theis/2023-04-18_09-58-22_db.csv' created.
Burn-in sampling completed...
Starting Complex Evolution...
ComplexEvo loop #1 in progress...
ComplexEvo loop #2 in progress...
ComplexEvo loop #3 in progress...
ComplexEvo loop #4 in progress...
ComplexEvo loop #5 in progress...
ComplexEvo loop #6 in progress...
ComplexEvo loop #7 in progress...
ComplexEvo loop #8 in progress...
ComplexEvo loop #9 in progress...
ComplexEvo loop #10 in progress...
ComplexEvo loop #11 in progress...
ComplexEvo loop #12 in progress...
ComplexEvo loop #13 in progress...
ComplexEvo loop #14 in progress...
ComplexEvo loop #15 in progress...
ComplexEvo loop #16 in progress...
ComplexEvo loop #17 in progress...
ComplexEvo loop #18 in progress...
ComplexEvo loop #19 in progress...
ComplexEvo loop #20 in progress...
THE POPULATION HAS CONVERGED TO A PRESPECIFIED SMALL PARAMETER SPACE
SEARCH WAS STOPPED AT TRIAL NUMBER: 2706
NUMBER OF DISCARDED TRIALS: 0
NORMALIZED GEOMETRIC RANGE = 0.000706
THE BEST POINT HAS IMPROVED IN LAST 100 LOOPS BY 100000.000000 PERCENT

*** Final SPOTPY summary ***
Total Duration: 0.64 seconds
Total Repetitions: 2706
Minimal objective value: 77.2517
Corresponding parameter setting:
transmissivity: -9.21583
storage: -9.10167
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Best parameter set:
transmissivity=-9.215828396011176, storage=-9.101673860745393

In addition, we run a sensitivity analysis, to get an impression of the impact of each parameter

estimation.sensitivity()

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Initializing the  Fourier Amplitude Sensitivity Test (FAST)  with  260  repetitions
Starting the FAST algotrithm with 260 repetitions...
Creating FAST Matrix
Initialize database...
['csv', 'hdf5', 'ram', 'sql', 'custom', 'noData']
* Database file '/home/docs/checkouts/readthedocs.org/user_builds/welltestpy/checkouts/latest/examples/Estimate_theis/2023-04-18_09-58-25_sensitivity_db.csv' created.

*** Final SPOTPY summary ***
Total Duration: 0.08 seconds
Total Repetitions: 260
Minimal objective value: 516.425
Corresponding parameter setting:
transmissivity: -9.03998
storage: -9.9678
Maximal objective value: 2.77063e+06
Corresponding parameter setting:
transmissivity: -15.8137
storage: -11.467
******************************

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