Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media

Autores
Guarracino, Luis; Santos, Juan Enrique
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This work presents the application of a Monte Carlo simulation method to perform an statistical analysis of transient variably saturated flow in an hypothetical random porous media. For each realization of the stochastic soil parameters entering as coefficients in Richards' flow equation, the pressure head and the flow field are computed using a mixed finite element procedure for the spatial discretization combined with a backward Euler and a modified Picard iteration in time. The hybridization of the mixed method provides a novel way for evaluating hydraulic conductivity on interelement boundaries. The proposed methodology can handle both large variability and fractal structure in the hydraulic parameters. The saturated conductivity Ks and the shape parameter αvg in the van Genuchten model are treated as stochastic fractal functions known as fractional Brownian motion (fBm) or fractional Gaussian noise (fGn). The statistical moments of the pressure head, water content, and flow components are obtained by averaging realizations of the fractal parameters in Monte Carlo fashion. A numerical example showing the application of the proposed methodology to characterize groundwater flow in highly heterogeneous soils is presented.
Facultad de Ciencias Astronómicas y Geofísicas
Materia
Geología
Matemática
Unsteady unsaturated flow
Finite elements
Heterogeneous soils
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/143586

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spelling Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous MediaGuarracino, LuisSantos, Juan EnriqueGeologíaMatemáticaUnsteady unsaturated flowFinite elementsHeterogeneous soilsThis work presents the application of a Monte Carlo simulation method to perform an statistical analysis of transient variably saturated flow in an hypothetical random porous media. For each realization of the stochastic soil parameters entering as coefficients in Richards' flow equation, the pressure head and the flow field are computed using a mixed finite element procedure for the spatial discretization combined with a backward Euler and a modified Picard iteration in time. The hybridization of the mixed method provides a novel way for evaluating hydraulic conductivity on interelement boundaries. The proposed methodology can handle both large variability and fractal structure in the hydraulic parameters. The saturated conductivity Ks and the shape parameter αvg in the van Genuchten model are treated as stochastic fractal functions known as fractional Brownian motion (fBm) or fractional Gaussian noise (fGn). The statistical moments of the pressure head, water content, and flow components are obtained by averaging realizations of the fractal parameters in Monte Carlo fashion. A numerical example showing the application of the proposed methodology to characterize groundwater flow in highly heterogeneous soils is presented.Facultad de Ciencias Astronómicas y Geofísicas2004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf217-238http://sedici.unlp.edu.ar/handle/10915/143586enginfo:eu-repo/semantics/altIdentifier/issn/0882-8121info:eu-repo/semantics/altIdentifier/issn/1573-8868info:eu-repo/semantics/altIdentifier/doi/10.1023/b:matg.0000020471.33189.8cinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:36Zoai:sedici.unlp.edu.ar:10915/143586Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:37.042SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media
title Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media
spellingShingle Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media
Guarracino, Luis
Geología
Matemática
Unsteady unsaturated flow
Finite elements
Heterogeneous soils
title_short Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media
title_full Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media
title_fullStr Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media
title_full_unstemmed Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media
title_sort Stochastic Modeling of Variably Saturated Transient Flow in Fractal Porous Media
dc.creator.none.fl_str_mv Guarracino, Luis
Santos, Juan Enrique
author Guarracino, Luis
author_facet Guarracino, Luis
Santos, Juan Enrique
author_role author
author2 Santos, Juan Enrique
author2_role author
dc.subject.none.fl_str_mv Geología
Matemática
Unsteady unsaturated flow
Finite elements
Heterogeneous soils
topic Geología
Matemática
Unsteady unsaturated flow
Finite elements
Heterogeneous soils
dc.description.none.fl_txt_mv This work presents the application of a Monte Carlo simulation method to perform an statistical analysis of transient variably saturated flow in an hypothetical random porous media. For each realization of the stochastic soil parameters entering as coefficients in Richards' flow equation, the pressure head and the flow field are computed using a mixed finite element procedure for the spatial discretization combined with a backward Euler and a modified Picard iteration in time. The hybridization of the mixed method provides a novel way for evaluating hydraulic conductivity on interelement boundaries. The proposed methodology can handle both large variability and fractal structure in the hydraulic parameters. The saturated conductivity Ks and the shape parameter αvg in the van Genuchten model are treated as stochastic fractal functions known as fractional Brownian motion (fBm) or fractional Gaussian noise (fGn). The statistical moments of the pressure head, water content, and flow components are obtained by averaging realizations of the fractal parameters in Monte Carlo fashion. A numerical example showing the application of the proposed methodology to characterize groundwater flow in highly heterogeneous soils is presented.
Facultad de Ciencias Astronómicas y Geofísicas
description This work presents the application of a Monte Carlo simulation method to perform an statistical analysis of transient variably saturated flow in an hypothetical random porous media. For each realization of the stochastic soil parameters entering as coefficients in Richards' flow equation, the pressure head and the flow field are computed using a mixed finite element procedure for the spatial discretization combined with a backward Euler and a modified Picard iteration in time. The hybridization of the mixed method provides a novel way for evaluating hydraulic conductivity on interelement boundaries. The proposed methodology can handle both large variability and fractal structure in the hydraulic parameters. The saturated conductivity Ks and the shape parameter αvg in the van Genuchten model are treated as stochastic fractal functions known as fractional Brownian motion (fBm) or fractional Gaussian noise (fGn). The statistical moments of the pressure head, water content, and flow components are obtained by averaging realizations of the fractal parameters in Monte Carlo fashion. A numerical example showing the application of the proposed methodology to characterize groundwater flow in highly heterogeneous soils is presented.
publishDate 2004
dc.date.none.fl_str_mv 2004
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info:eu-repo/semantics/publishedVersion
Articulo
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/143586
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dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0882-8121
info:eu-repo/semantics/altIdentifier/issn/1573-8868
info:eu-repo/semantics/altIdentifier/doi/10.1023/b:matg.0000020471.33189.8c
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
217-238
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