Estimate homogeneous parametersΒΆ

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()
  • 02 estimate
  • 02 estimate
  • 02 estimate

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/stable/examples/Estimate_theis/2020-09-02_14-29-20_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...
THE POPULATION HAS CONVERGED TO A PRESPECIFIED SMALL PARAMETER SPACE
SEARCH WAS STOPPED AT TRIAL NUMBER: 2289
NUMBER OF DISCARDED TRIALS: 0
NORMALIZED GEOMETRIC RANGE = 0.000976
THE BEST POINT HAS IMPROVED IN LAST 100 LOOPS BY 100000.000000 PERCENT

*** Final SPOTPY summary ***
Total Duration: 1.06 seconds
Total Repetitions: 2289
Minimal objective value: 77.2517
Corresponding parameter setting:
mu: -9.21583
lnS: -9.10167
******************************

Best parameter set:
mu=-9.215829530133176, lnS=-9.10166657030147

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

estimation.sensitivity()
  • FAST total sensitivity shares
  • 02 estimate

Out:

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/stable/examples/Estimate_theis/2020-09-02_14-29-30_sensitivity_db.csv' created.

*** Final SPOTPY summary ***
Total Duration: 0.17 seconds
Total Repetitions: 260
Minimal objective value: 228.178
Corresponding parameter setting:
mu: -9.12902
lnS: -9.66285
Maximal objective value: 3.0229e+06
Corresponding parameter setting:
mu: -15.9836
lnS: -11.1398
******************************

260
Parameter First Total
mu 0.533104 0.924747
lnS 0.058414 0.425724
260

Total running time of the script: ( 0 minutes 11.117 seconds)

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