<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Analytical or hybrid numerical-analytical solutions based on the Generalized Integral Transform Technique (GITT) are obtained for the transient three-dimensional pumping problem of aquifers with a fully penetrating vertical well between two parallel streams. The problem formulation for confined and leaky aquifers allows for achieving exact analytical solutions through integral transforms, while the unconfined aquifer case introduces a fourth kind boundary condition which leads to a coupled transformed head ordinary differential system, that can be solved either analytically or numerically. A convergence analysis is performed to illustrate the consistency of the numerical results achieved for the head distribution, as well as for the related pumping rates. Results are obtained for selected cases and comparisons with literature results are performed. A solution verification confirms the agreement of the integral transform solutions with available simulations and provides additional confidence for the analysis of a few physical parameters that influence the hydrological behavior.</p>
</abstract>

Analytical or hybrid numerical-analytical solutions based on the Generalized Integral Transform Technique (GITT) are obtained for the transient three-dimensional pumping problem of aquifers with a fully penetrating vertical well between two parallel streams. The problem formulation for confined and leaky aquifers allows for achieving exact analytical solutions through integral transforms, while the unconfined aquifer case introduces a fourth kind boundary condition which leads to a coupled transformed head ordinary differential system, that can be solved either analytically or numerically. A convergence analysis is performed to illustrate the consistency of the numerical results achieved for the head distribution, as well as for the related pumping rates. Results are obtained for selected cases and comparisons with literature results are performed. A solution verification confirms the agreement of the integral transform solutions with available simulations and provides additional confidence for the analysis of a few physical parameters that influence the hydrological behavior.

Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers

UNIFESSPA, Universidade Federal do Sul e Sudeste do Pará

POLI & COPPE, CT, Universidade Federal do Rio de Janeiro

Journal of Hydrology and Hydromechanics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Analytical or hybrid numerical-analytical solutions based on the Generalized Integral Transform Technique (GITT) are obtained for the transient...

Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers

Published Online: Aug 10, 2021

Page range: 319 - 331

Received: Oct 18, 2020

Accepted: Jul 01, 2021

DOI: https://doi.org/10.2478/johh-2021-0020

Keywords
Integral transforms, Hybrid methods, Aquifer pumping problem, Head distribution, Stream depletion rate

© 2021 Elizeu Melo da Silva et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers

Published Online: Aug 10, 2021

Page range: 319 - 331

Received: Oct 18, 2020

Accepted: Jul 01, 2021

DOI: https://doi.org/10.2478/johh-2021-0020

KeywordsIntegral transforms, Hybrid methods, Aquifer pumping problem, Head distribution, Stream depletion rate

© 2021 Elizeu Melo da Silva et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Integral transforms, Hybrid methods, Aquifer pumping problem, Head distribution, Stream depletion rate