Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2021-09-01
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| Series: | Journal of Hydrology and Hydromechanics |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/johh-2021-0020 |
| _version_ | 1811272532425179136 |
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| author | Silva Elizeu Melo da Quaresma João N. N. Macêdo Emanuel N. Cotta Renato M. |
| author_facet | Silva Elizeu Melo da Quaresma João N. N. Macêdo Emanuel N. Cotta Renato M. |
| author_sort | Silva Elizeu Melo da |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T22:42:02Z |
| format | Article |
| id | doaj.art-e386e5926669444884e5ac1a8b58a118 |
| institution | Directory Open Access Journal |
| issn | 1338-4333 |
| language | English |
| last_indexed | 2024-04-12T22:42:02Z |
| publishDate | 2021-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Journal of Hydrology and Hydromechanics |
| spelling | doaj.art-e386e5926669444884e5ac1a8b58a1182022-12-22T03:13:42ZengSciendoJournal of Hydrology and Hydromechanics1338-43332021-09-0169331933110.2478/johh-2021-0020Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifersSilva Elizeu Melo da0Quaresma João N. N.1Macêdo Emanuel N.2Cotta Renato M.3Graduate Program in Natural Resources Engineering in the Amazon, PRODERNA/ITEC/UFPA, Universidade Federal do Pará, 66075-110, Belém, PA, Brazil.Graduate Program in Natural Resources Engineering in the Amazon, PRODERNA/ITEC/UFPA, Universidade Federal do Pará, 66075-110, Belém, PA, Brazil.Graduate Program in Natural Resources Engineering in the Amazon, PRODERNA/ITEC/UFPA, Universidade Federal do Pará, 66075-110, Belém, PA, Brazil.General Directorate of Nuclear and Technological Development, DGDNTM, Marinha do Brasil, Rio de Janeiro, RJ, Brazil.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.https://doi.org/10.2478/johh-2021-0020integral transformshybrid methodsaquifer pumping problemhead distributionstream depletion rate |
| spellingShingle | Silva Elizeu Melo da Quaresma João N. N. Macêdo Emanuel N. Cotta Renato M. Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers Journal of Hydrology and Hydromechanics integral transforms hybrid methods aquifer pumping problem head distribution stream depletion rate |
| title | Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers |
| title_full | Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers |
| title_fullStr | Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers |
| title_full_unstemmed | Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers |
| title_short | Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers |
| title_sort | integral transforms for three dimensional pumping in confined leaky and unconfined aquifers |
| topic | integral transforms hybrid methods aquifer pumping problem head distribution stream depletion rate |
| url | https://doi.org/10.2478/johh-2021-0020 |
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