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Confined aquifer slug test example

Confined aquifer slug test example#

This Inversion Test Problem demonstrates two solutions for the time-displacement response at a groundwater well resulting from the application of a single well falling head slug test. Both solutions describe the response for a fully confined aquifer. These are:

  1. Cooper-Bredehoeft-Papadopulos (1967) solution

  2. Hvorslev (1951) solution

These solutions assume full aquifer penetration by the tested well. 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 slug test

This example involves the matching of an appropriate forward model to time-displacement data obtained from a traditional single well slug test.

Author:

Chris Turnadge

Contact:

Chris Turnadge (chris.turnadge@csiro.au)

Example usage for SlugTest#

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 SlugTest object
 4my_slug_test = espresso.SlugTest(example_number=1)
 5
 6# Guaranteed API
 7model_size     = my_slug_test.model_size
 8data_size      = my_slug_test.data_size
 9null_model     = my_slug_test.starting_model
10good_model     = my_slug_test.good_model
11given_data     = my_slug_test.data
12synthetic_data = my_slug_test.forward(good_model)
13
14# Optional API
15example_desc       = my_slug_test.description
16cov_matrix         = my_slug_test.covariance_matrix
17inv_cov_matrix     = my_slug_test.inverse_covariance_matrix
18model_fig          = my_slug_test.plot_model(good_model)
19data_fig           = my_slug_test.plot_data(given_data)
20log_likelihood_val = my_slug_test.log_likelihood(given_data, synthetic_data)

Additional attributes to explore: [list_capabilities].

LICENCE#

Copyright 2021-2022 The Contributors All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

  1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

  2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

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