Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1002/vzj2.20168 http://hdl.handle.net/11449/222911 |
Resumo: | Closed-form expressions of the hydraulic conductivity function for linearly superposed subretention (multimodal) functions were derived for arbitrary sets of the Brooks and Corey (BC), van Genuchten (VG), and Kosugi (KO) water retention models. The generalized Mualem hydraulic conductivity model was evaluated using the mathematical approach of Priesack and Durner. Three types of modification to the multimodel were also proposed. Firstly, the derived conductivity equations can be simplified when the submodel parameters, (Formula presented.) for the BC model, (Formula presented.) for the VG model, and (Formula presented.) for the KO model have the same (common) value (denoted as CH). Secondly, as in the case of the modified single VG and KO models, a hypothetical air-entry head near saturation can be introduced for the multimodal VG and KO models to prevent unrealistic reductions in the hydraulic conductivity near saturation when the VG n parameter approaches its lower limit of n = 1. Furthermore, the multimodal hydraulic conductivity functions become a simple sum of conductivity subfunctions when the exponent r is unity (such as for Burdine's model), which leads to independent tortuosity effects for each submodel. The models are illustrated for two soils: a highly aggregated Kumamoto Andisol and a relatively unimodal dune sand. The dual-(BC, VG, KO) and the VG1BC2 models equally represented the water retention data of the Andisol, with similar hydraulic conductivity curves. The dual-BC-CH, dual-VG-CH, and VG1BC2-CH models fitted the water retention data of the dune sand well, with the hydraulic conductivity curves of the dual-porosity model being similar to those of the Fayer and Simmons (FS) model. |
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Repositório Institucional da UNESP |
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Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic propertiesClosed-form expressions of the hydraulic conductivity function for linearly superposed subretention (multimodal) functions were derived for arbitrary sets of the Brooks and Corey (BC), van Genuchten (VG), and Kosugi (KO) water retention models. The generalized Mualem hydraulic conductivity model was evaluated using the mathematical approach of Priesack and Durner. Three types of modification to the multimodel were also proposed. Firstly, the derived conductivity equations can be simplified when the submodel parameters, (Formula presented.) for the BC model, (Formula presented.) for the VG model, and (Formula presented.) for the KO model have the same (common) value (denoted as CH). Secondly, as in the case of the modified single VG and KO models, a hypothetical air-entry head near saturation can be introduced for the multimodal VG and KO models to prevent unrealistic reductions in the hydraulic conductivity near saturation when the VG n parameter approaches its lower limit of n = 1. Furthermore, the multimodal hydraulic conductivity functions become a simple sum of conductivity subfunctions when the exponent r is unity (such as for Burdine's model), which leads to independent tortuosity effects for each submodel. The models are illustrated for two soils: a highly aggregated Kumamoto Andisol and a relatively unimodal dune sand. The dual-(BC, VG, KO) and the VG1BC2 models equally represented the water retention data of the Andisol, with similar hydraulic conductivity curves. The dual-BC-CH, dual-VG-CH, and VG1BC2-CH models fitted the water retention data of the dune sand well, with the hydraulic conductivity curves of the dual-porosity model being similar to those of the Fayer and Simmons (FS) model.Natural Science Laboratory Toyo Univ., TokyoGraduate School of Bioresources Mie Univ., MieDep. of Earth Sciences Utrecht Univ.Center for Environmental Studies CEA São Paulo State Univ., São PauloCenter for Environmental Studies CEA São Paulo State Univ., São PauloToyo Univ.Mie Univ.Utrecht Univ.Universidade Estadual Paulista (UNESP)Seki, KatsutoshiToride, NobuoTh. van Genuchten, Martinus [UNESP]2022-04-28T19:47:34Z2022-04-28T19:47:34Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1002/vzj2.20168Vadose Zone Journal, v. 21, n. 1, 2022.1539-1663http://hdl.handle.net/11449/22291110.1002/vzj2.201682-s2.0-85119828137Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengVadose Zone Journalinfo:eu-repo/semantics/openAccess2022-04-28T19:47:34Zoai:repositorio.unesp.br:11449/222911Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:23:34.808529Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties |
title |
Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties |
spellingShingle |
Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties Seki, Katsutoshi |
title_short |
Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties |
title_full |
Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties |
title_fullStr |
Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties |
title_full_unstemmed |
Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties |
title_sort |
Closed-form hydraulic conductivity equations for multimodal unsaturated soil hydraulic properties |
author |
Seki, Katsutoshi |
author_facet |
Seki, Katsutoshi Toride, Nobuo Th. van Genuchten, Martinus [UNESP] |
author_role |
author |
author2 |
Toride, Nobuo Th. van Genuchten, Martinus [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Toyo Univ. Mie Univ. Utrecht Univ. Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Seki, Katsutoshi Toride, Nobuo Th. van Genuchten, Martinus [UNESP] |
description |
Closed-form expressions of the hydraulic conductivity function for linearly superposed subretention (multimodal) functions were derived for arbitrary sets of the Brooks and Corey (BC), van Genuchten (VG), and Kosugi (KO) water retention models. The generalized Mualem hydraulic conductivity model was evaluated using the mathematical approach of Priesack and Durner. Three types of modification to the multimodel were also proposed. Firstly, the derived conductivity equations can be simplified when the submodel parameters, (Formula presented.) for the BC model, (Formula presented.) for the VG model, and (Formula presented.) for the KO model have the same (common) value (denoted as CH). Secondly, as in the case of the modified single VG and KO models, a hypothetical air-entry head near saturation can be introduced for the multimodal VG and KO models to prevent unrealistic reductions in the hydraulic conductivity near saturation when the VG n parameter approaches its lower limit of n = 1. Furthermore, the multimodal hydraulic conductivity functions become a simple sum of conductivity subfunctions when the exponent r is unity (such as for Burdine's model), which leads to independent tortuosity effects for each submodel. The models are illustrated for two soils: a highly aggregated Kumamoto Andisol and a relatively unimodal dune sand. The dual-(BC, VG, KO) and the VG1BC2 models equally represented the water retention data of the Andisol, with similar hydraulic conductivity curves. The dual-BC-CH, dual-VG-CH, and VG1BC2-CH models fitted the water retention data of the dune sand well, with the hydraulic conductivity curves of the dual-porosity model being similar to those of the Fayer and Simmons (FS) model. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-04-28T19:47:34Z 2022-04-28T19:47:34Z 2022-01-01 |
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/10.1002/vzj2.20168 Vadose Zone Journal, v. 21, n. 1, 2022. 1539-1663 http://hdl.handle.net/11449/222911 10.1002/vzj2.20168 2-s2.0-85119828137 |
url |
http://dx.doi.org/10.1002/vzj2.20168 http://hdl.handle.net/11449/222911 |
identifier_str_mv |
Vadose Zone Journal, v. 21, n. 1, 2022. 1539-1663 10.1002/vzj2.20168 2-s2.0-85119828137 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Vadose Zone Journal |
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 |
|
_version_ |
1808128803946364928 |