Aquifer constant rate discharge pumping test example#
This Inversion Test Problem demonstrates a range of solutions for the time-drawdown response at an observation well resulting from the application of a constant rate discharge pumping test at an adjacent production well. Each solution describes the response for a unique aquifer type. These are:
Confined aquifer solution (Theis, 1935)
Leaky aquifer solution featuring no aquitard storage (Hantush and Jacob, 1955)
Leaky aquifer solution featuring aquitard storage (Hantush, 1960)
Fractured rock aquifer solution (Barker, 1988)
These solutions assume full aquifer penetration by both the production and observation wells. All solutions are calculated in the Laplace domain and are inverted to the time domain numerically using the De Hoog et al. (1982) algorithm.
Contribution Metadata for Aquifer constant rate discharge pumping test
This example involves the matching of an appropriate forward model to time-drawdown data obtained from a two-well constant rate discharge test.
Chris Turnadge (firstname.lastname@example.org)
Example usage for
Code block below is generated automatically based on our tests and inspection of the example objects. We’d like to also refer you to the API Reference for more about the Espresso API.
1import espresso 2 3# Create a PumpingTest object 4my_pumping_test = espresso.PumpingTest(example_number=1) 5 6# Guaranteed API 7model_size = my_pumping_test.model_size 8data_size = my_pumping_test.data_size 9null_model = my_pumping_test.starting_model 10good_model = my_pumping_test.good_model 11given_data = my_pumping_test.data 12synthetic_data = my_pumping_test.forward(good_model) 13 14# Optional API 15example_desc = my_pumping_test.description 16cov_matrix = my_pumping_test.covariance_matrix 17inv_cov_matrix = my_pumping_test.inverse_covariance_matrix 18model_fig = my_pumping_test.plot_model(good_model) 19log_likelihood_val = my_pumping_test.log_likelihood(given_data, synthetic_data)
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