PKgui: A GUI software for Polubarinova-Kochina’s solutions of steady unconfined groundwater flow
Mohammad Afzal Shadab,
Eric Hiatt,
Marc Andre Hesse
Affiliations
Mohammad Afzal Shadab
Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, 201 E. 24th Street, C0200, Austin TX 78712, United States; University of Texas Institute for Geophysics, 10601 Exploration Way, Austin TX 78758, United States; Center for Planetary Systems Habitability, The University of Texas at Austin, 2305 Speedway, C1160, Austin TX 78712, United States; Corresponding author at: Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, 201 E. 24th Street, C0200, Austin TX 78712, United States.
Eric Hiatt
University of Texas Institute for Geophysics, 10601 Exploration Way, Austin TX 78758, United States; Department of Earth and Planetary Science, Jackson School of Geosciences, The University of Texas at Austin, 2305 Speedway, C1160, Austin, TX 78712, United States; Center for Planetary Systems Habitability, The University of Texas at Austin, 2305 Speedway, C1160, Austin TX 78712, United States
Marc Andre Hesse
Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, 201 E. 24th Street, C0200, Austin TX 78712, United States; Department of Earth and Planetary Science, Jackson School of Geosciences, The University of Texas at Austin, 2305 Speedway, C1160, Austin, TX 78712, United States; Center for Planetary Systems Habitability, The University of Texas at Austin, 2305 Speedway, C1160, Austin TX 78712, United States
A Python program and standalone executables with a graphical user interface (PKgui) have been developed to solve the classical semi-analytic solutions derived by Polubarinova-Kochina for a steady unconfined aquifer across a rectangular dam/aquifer. Although considered very useful in geotechnical and groundwater communities, these solutions have not been widely used in the literature due to their mathematical and computational complexities. Using nonlinear least squares optimization toolbox, this program solves a set of coupled nonlinear integral equations directly, efficiently, and accurately. Lastly, a theoretical limit to applicability of Polubarinova-Kochina’s results and therefore the software outputs are also discussed.
