Asymptotic expansions for Moench's integral transform of hydrology
| dc.contributor.author | López García, José Luis | |
| dc.contributor.author | Pagola Martínez, Pedro Jesús | |
| dc.contributor.author | Pérez Sinusía, Ester | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa, PRO-UPNA (6158) 2022 | es |
| dc.date.accessioned | 2023-10-30T18:53:58Z | |
| dc.date.available | 2023-10-30T18:53:58Z | |
| dc.date.issued | 2023 | |
| dc.date.updated | 2023-10-30T18:44:34Z | |
| dc.description.abstract | Theis' theory (1935), later improved by Hantush & Jacob (1955) and Moench (1971), is a technique designed to study the water level in aquifers. The key formula in this theory is a certain integral transform H[g](r,t) of the pumping function g that depends on the time t and the relative position r to the pumping point as well as on other physical parameters. Several analytic approximations of H[g](r,t) have been investigated in the literature that are valid and accurate in certain regions of r, t and the mentioned physical parameters. In this paper, the analysis of possible analytic approximations of H[g](r,t) is completed by investigating asymptotic expansions of H[g](r,t) in a region of the parameters that is of interest in practical situations, but that has not yet been investigated. Explicit and/or recursive algorithms for the computation of the coefficients of the expansions and estimates for the remainders are provided. Some numerical examples based on an actual physical experiment conducted by Layne-Western Company in 1953 illustrate the accuracy of the approximations. | en |
| dc.description.sponsorship | This research was supported by the Universidad Publica de Navarra, grant PRO-UPNA (6158) 01/01/2022. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | López, J. L., Pagola, P., Pérez Sinusía, E. (2023) Asymptotic expansions for Moench's integral transform of hydrology. Mathematics, 11(14), 1-14. https://doi.org/10.3390/math11143053. | en |
| dc.identifier.doi | 10.3390/math11143053 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/46668 | |
| dc.language.iso | eng | en |
| dc.publisher | MDPI | en |
| dc.relation.ispartof | Mathematics 2023, 11(14), 3053 | en |
| dc.relation.publisherversion | https://doi.org/10.3390/math11143053 | |
| dc.rights | © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Water drawdown in aquifers | en |
| dc.subject | Moench's integral transform | en |
| dc.subject | Asymptotic expansions | en |
| dc.subject | Error function | en |
| dc.title | Asymptotic expansions for Moench's integral transform of hydrology | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e6cd33c5-6d5e-455c-b8da-32a9702e16c8 | |
| relation.isAuthorOfPublication | 68ff8840-f80e-4119-ac1a-edfad578de07 | |
| relation.isAuthorOfPublication | 93f891c7-529d-4972-8759-9d943c60949c | |
| relation.isAuthorOfPublication.latestForDiscovery | e6cd33c5-6d5e-455c-b8da-32a9702e16c8 |