On Infiltration and Infiltration Characteristic Times

Detalhes bibliográficos
Autor(a) principal: Rahmati, Mehdi
Data de Publicação: 2022
Outros Autores: Latorre, Borja, Moret-Fernández, David, Lassabatere, Laurent, Talebian, Nima, Miller, Dane, Morbidelli, Renato, Iovino, Massimo, Bagarello, Vincenzo, Neyshabouri, Mohammad Reza, Zhao, Ying, Vanderborght, Jan, Weihermüller, Lutz, Jaramillo, Rafael Angulo, Or, Dani, Th. van Genuchten, Martinus [UNESP], Vereecken, Harry
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1029/2021WR031600
http://hdl.handle.net/11449/240105
Resumo: In his seminal paper on the solution of the infiltration equation, Philip (1969), https://doi.org/10.1016/b978-1-4831-9936-8.50010-6 proposed a gravity time, tgrav, to estimate practical convergence time and the time domain validity of his infinite time series expansion, TSE, for describing the transient state. The parameter tgrav refers to a point in time where infiltration is dominated equally by capillarity and gravity as derived from the first two (dominant) terms of the TSE. Evidence suggests that applicability of the truncated two-term equation of Philip has a time limit requiring higher-order TSE terms to better describe the infiltration process for times exceeding that limit. Since the conceptual definition of tgrav is valid regardless of the infiltration model used, we opted to reformulate tgrav using the analytic implicit model proposed by Parlange et al. (1982), https://doi.org/10.1097/00010694-198206000-00001 valid for all times and related TSE. Our derived gravity times ensure a given accuracy of the approximations describing transient states, while also providing insight about the times needed to reach steady state. In addition to the roles of soil sorptivity (S) and the saturated (Ks) and initial (Ki) hydraulic conductivities, we explored the effects of a soil specific shape parameter β, involved in Parlange's model and related to the type of soil, on the behavior of tgrav. We show that the reformulated tgrav (notably (Formula presented.) where F(β) is a β-dependent function) is about three times larger than the classical tgrav given by (Formula presented.). The differences between the classical tgrav,Philip and the reformulated tgrav increase for fine-textured soils, attributed to the time needed to attain steady-state infiltration and thus i + nfiltration for inferring soil hydraulic properties. Results show that the proposed tgrav is a better indicator of time domain validity than tgrav,Philip. For the attainment of steady-state infiltration, the reformulated tgrav is suitable for coarse-textured soils. Still neither the reformulated tgrav nor the classical tgrav,Philip are suitable for fine-textured soils for which tgrav is too conservative and tgrav,Philip too short. Using tgrav will improve predictions of the soil hydraulic parameters (particularly Ks) from infiltration data compared to tgrav,Philip.
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spelling On Infiltration and Infiltration Characteristic Timeshydraulic conductivityinfiltrationsorptivitysteady statetime domain validityIn his seminal paper on the solution of the infiltration equation, Philip (1969), https://doi.org/10.1016/b978-1-4831-9936-8.50010-6 proposed a gravity time, tgrav, to estimate practical convergence time and the time domain validity of his infinite time series expansion, TSE, for describing the transient state. The parameter tgrav refers to a point in time where infiltration is dominated equally by capillarity and gravity as derived from the first two (dominant) terms of the TSE. Evidence suggests that applicability of the truncated two-term equation of Philip has a time limit requiring higher-order TSE terms to better describe the infiltration process for times exceeding that limit. Since the conceptual definition of tgrav is valid regardless of the infiltration model used, we opted to reformulate tgrav using the analytic implicit model proposed by Parlange et al. (1982), https://doi.org/10.1097/00010694-198206000-00001 valid for all times and related TSE. Our derived gravity times ensure a given accuracy of the approximations describing transient states, while also providing insight about the times needed to reach steady state. In addition to the roles of soil sorptivity (S) and the saturated (Ks) and initial (Ki) hydraulic conductivities, we explored the effects of a soil specific shape parameter β, involved in Parlange's model and related to the type of soil, on the behavior of tgrav. We show that the reformulated tgrav (notably (Formula presented.) where F(β) is a β-dependent function) is about three times larger than the classical tgrav given by (Formula presented.). The differences between the classical tgrav,Philip and the reformulated tgrav increase for fine-textured soils, attributed to the time needed to attain steady-state infiltration and thus i + nfiltration for inferring soil hydraulic properties. Results show that the proposed tgrav is a better indicator of time domain validity than tgrav,Philip. For the attainment of steady-state infiltration, the reformulated tgrav is suitable for coarse-textured soils. Still neither the reformulated tgrav nor the classical tgrav,Philip are suitable for fine-textured soils for which tgrav is too conservative and tgrav,Philip too short. Using tgrav will improve predictions of the soil hydraulic parameters (particularly Ks) from infiltration data compared to tgrav,Philip.Department of Soil Science and Engineering Faculty of Agriculture University of MaraghehForschungszentrum Jülich GmbH Institute of Bio- and Geosciences: Agrosphere (IBG-3)Departamento de Suelo y Agua Estación Experimental de Aula Dei Consejo Superior de Investigaciones Científicas (CSIC)University Lyon Université Claude Bernard Lyon 1 CNRS ENTPE UMR5023 LEHNAFaculty of Society & Design Bond UniversityDepartment of Civil and Environmental Engineering University of PerugiaDepartment of Agricultural Food and Forest Sciences University of PalermoDepartment of Soil Science and Engineering Faculty of Agriculture University of TabrizCollege of Resources and Environmental Engineering Ludong UniversityDepartment of Environmental Systems Science ETHDivision of Hydrologic Sciences (DHS) - Desert Research InstituteDepartment of Earth Sciences Utrecht UniversityCenter for Environmental Studies CEA São Paulo State UniversityCenter for Environmental Studies CEA São Paulo State UniversityUniversity of MaraghehInstitute of Bio- and Geosciences: Agrosphere (IBG-3)Consejo Superior de Investigaciones Científicas (CSIC)UMR5023 LEHNABond UniversityUniversity of PerugiaUniversity of PalermoUniversity of TabrizLudong UniversityETHDivision of Hydrologic Sciences (DHS) - Desert Research InstituteUtrecht UniversityUniversidade Estadual Paulista (UNESP)Rahmati, MehdiLatorre, BorjaMoret-Fernández, DavidLassabatere, LaurentTalebian, NimaMiller, DaneMorbidelli, RenatoIovino, MassimoBagarello, VincenzoNeyshabouri, Mohammad RezaZhao, YingVanderborght, JanWeihermüller, LutzJaramillo, Rafael AnguloOr, DaniTh. van Genuchten, Martinus [UNESP]Vereecken, Harry2023-03-01T20:01:43Z2023-03-01T20:01:43Z2022-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1029/2021WR031600Water Resources Research, v. 58, n. 5, 2022.1944-79730043-1397http://hdl.handle.net/11449/24010510.1029/2021WR0316002-s2.0-85130595810Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengWater Resources Researchinfo:eu-repo/semantics/openAccess2023-03-01T20:01:43Zoai:repositorio.unesp.br:11449/240105Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:58:56.492016Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On Infiltration and Infiltration Characteristic Times
title On Infiltration and Infiltration Characteristic Times
spellingShingle On Infiltration and Infiltration Characteristic Times
Rahmati, Mehdi
hydraulic conductivity
infiltration
sorptivity
steady state
time domain validity
title_short On Infiltration and Infiltration Characteristic Times
title_full On Infiltration and Infiltration Characteristic Times
title_fullStr On Infiltration and Infiltration Characteristic Times
title_full_unstemmed On Infiltration and Infiltration Characteristic Times
title_sort On Infiltration and Infiltration Characteristic Times
author Rahmati, Mehdi
author_facet Rahmati, Mehdi
Latorre, Borja
Moret-Fernández, David
Lassabatere, Laurent
Talebian, Nima
Miller, Dane
Morbidelli, Renato
Iovino, Massimo
Bagarello, Vincenzo
Neyshabouri, Mohammad Reza
Zhao, Ying
Vanderborght, Jan
Weihermüller, Lutz
Jaramillo, Rafael Angulo
Or, Dani
Th. van Genuchten, Martinus [UNESP]
Vereecken, Harry
author_role author
author2 Latorre, Borja
Moret-Fernández, David
Lassabatere, Laurent
Talebian, Nima
Miller, Dane
Morbidelli, Renato
Iovino, Massimo
Bagarello, Vincenzo
Neyshabouri, Mohammad Reza
Zhao, Ying
Vanderborght, Jan
Weihermüller, Lutz
Jaramillo, Rafael Angulo
Or, Dani
Th. van Genuchten, Martinus [UNESP]
Vereecken, Harry
author2_role author
author
author
author
author
author
author
author
author
author
author
author
author
author
author
author
dc.contributor.none.fl_str_mv University of Maragheh
Institute of Bio- and Geosciences: Agrosphere (IBG-3)
Consejo Superior de Investigaciones Científicas (CSIC)
UMR5023 LEHNA
Bond University
University of Perugia
University of Palermo
University of Tabriz
Ludong University
ETH
Division of Hydrologic Sciences (DHS) - Desert Research Institute
Utrecht University
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Rahmati, Mehdi
Latorre, Borja
Moret-Fernández, David
Lassabatere, Laurent
Talebian, Nima
Miller, Dane
Morbidelli, Renato
Iovino, Massimo
Bagarello, Vincenzo
Neyshabouri, Mohammad Reza
Zhao, Ying
Vanderborght, Jan
Weihermüller, Lutz
Jaramillo, Rafael Angulo
Or, Dani
Th. van Genuchten, Martinus [UNESP]
Vereecken, Harry
dc.subject.por.fl_str_mv hydraulic conductivity
infiltration
sorptivity
steady state
time domain validity
topic hydraulic conductivity
infiltration
sorptivity
steady state
time domain validity
description In his seminal paper on the solution of the infiltration equation, Philip (1969), https://doi.org/10.1016/b978-1-4831-9936-8.50010-6 proposed a gravity time, tgrav, to estimate practical convergence time and the time domain validity of his infinite time series expansion, TSE, for describing the transient state. The parameter tgrav refers to a point in time where infiltration is dominated equally by capillarity and gravity as derived from the first two (dominant) terms of the TSE. Evidence suggests that applicability of the truncated two-term equation of Philip has a time limit requiring higher-order TSE terms to better describe the infiltration process for times exceeding that limit. Since the conceptual definition of tgrav is valid regardless of the infiltration model used, we opted to reformulate tgrav using the analytic implicit model proposed by Parlange et al. (1982), https://doi.org/10.1097/00010694-198206000-00001 valid for all times and related TSE. Our derived gravity times ensure a given accuracy of the approximations describing transient states, while also providing insight about the times needed to reach steady state. In addition to the roles of soil sorptivity (S) and the saturated (Ks) and initial (Ki) hydraulic conductivities, we explored the effects of a soil specific shape parameter β, involved in Parlange's model and related to the type of soil, on the behavior of tgrav. We show that the reformulated tgrav (notably (Formula presented.) where F(β) is a β-dependent function) is about three times larger than the classical tgrav given by (Formula presented.). The differences between the classical tgrav,Philip and the reformulated tgrav increase for fine-textured soils, attributed to the time needed to attain steady-state infiltration and thus i + nfiltration for inferring soil hydraulic properties. Results show that the proposed tgrav is a better indicator of time domain validity than tgrav,Philip. For the attainment of steady-state infiltration, the reformulated tgrav is suitable for coarse-textured soils. Still neither the reformulated tgrav nor the classical tgrav,Philip are suitable for fine-textured soils for which tgrav is too conservative and tgrav,Philip too short. Using tgrav will improve predictions of the soil hydraulic parameters (particularly Ks) from infiltration data compared to tgrav,Philip.
publishDate 2022
dc.date.none.fl_str_mv 2022-05-01
2023-03-01T20:01:43Z
2023-03-01T20:01:43Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1029/2021WR031600
Water Resources Research, v. 58, n. 5, 2022.
1944-7973
0043-1397
http://hdl.handle.net/11449/240105
10.1029/2021WR031600
2-s2.0-85130595810
url http://dx.doi.org/10.1029/2021WR031600
http://hdl.handle.net/11449/240105
identifier_str_mv Water Resources Research, v. 58, n. 5, 2022.
1944-7973
0043-1397
10.1029/2021WR031600
2-s2.0-85130595810
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Water Resources Research
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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