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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/143586
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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 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/143586 |
url |
http://sedici.unlp.edu.ar/handle/10915/143586 |
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) |
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openAccess |
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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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SEDICI (UNLP) - Universidad Nacional de La Plata |
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