Estimate steady homogeneous parameters

Here we estimate transmissivity from the quasi steady state of a pumping test campaign with the classical thiem solution.

import welltestpy as wtp

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

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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/Estimate_thiem/2021-07-29_11-56-11_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...
THE POPULATION HAS CONVERGED TO A PRESPECIFIED SMALL PARAMETER SPACE
SEARCH WAS STOPPED AT TRIAL NUMBER: 1545
NUMBER OF DISCARDED TRIALS: 0
NORMALIZED GEOMETRIC RANGE = 0.000822
THE BEST POINT HAS IMPROVED IN LAST 100 LOOPS BY 100000.000000 PERCENT

*** Final SPOTPY summary ***
Total Duration: 0.34 seconds
Total Repetitions: 1545
Minimal objective value: 0.0672645
Corresponding parameter setting:
mu: -9.21029
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Best parameter set:
mu=-9.210293557315548
/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)

since we only have one parameter, we need a dummy parameter to estimate sensitivity

estimation.gen_setup(dummy=True)
estimation.sensitivity()

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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/v1.1.0/examples/Estimate_thiem/2021-07-29_11-56-12_sensitivity_db.csv' created.

*** Final SPOTPY summary ***
Total Duration: 0.07 seconds
Total Repetitions: 260
Minimal objective value: 155.198
Corresponding parameter setting:
mu: -9.1516
dummy: 0.511692
Maximal objective value: 2.3128e+06
Corresponding parameter setting:
mu: -15.9561
dummy: 0.389084
******************************

260
Parameter First Total
mu 0.802399 0.980327
dummy 0.001906 0.053303
260