Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method

Autores
Luege, Mariela; Lucero, Javier Bernardo; Torrijos, Maria Celeste; Orlando, Antonio
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we study the fluid flow in a deformable porous linear elastic media with a single crack Γ. Fluid exchange between the crack and the surrounding porous media is taken into account through the definition of appropriate boundary conditions on Γ obtained by applying an averaging process of the Darcy flow within the crack. Two models are considered and compared: a semianalytical one which solves the general potential solution of the singular integral equation modelling the steady state flow in an infinite porous media with one linear crack, obtained by applying the complex potential method, and a numerical one based on the Extended Finite Element Method (XFEM) of the governing equations. The XFEM we apply employs the standard enriched basis functions represented by the Heaviside function on Γ to describe the discontinuity jump of the displacement field across the crack, the distance function to Γ to describe the non differentiability of the pressure field across Γ and the singular functions describing the View the MathML source-singularity at the crack tip of the stress and pressure field, where r is the distance to the crack tip. The semianalytical model is used to verify the application of the XFEM. We include then the coupling with the mechanical response of the body, which is analyzed by using only the XFEM. Several numerical experiments are then carried out which illustrate the variation of the hydro-mechanical quantities around the crack and within the crack.
Fil: Luege, Mariela. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Instituto Nacional de Tecnologia Agropecuaria. Centro Reg.tucuman-santiago del Estero; Argentina
Fil: Lucero, Javier Bernardo. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Tucumán; Argentina
Fil: Torrijos, Maria Celeste. Universidad Nacional de la Plata. Laboratorio de Investigación y Desarrollo de Métodos Analíticos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Orlando, Antonio. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Tucumán; Argentina
Materia
Fractured Porous Media
Steady State Flow
Biot-Coussy Model
X-Fem
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/7246
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/7246
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element methodLuege, MarielaLucero, Javier BernardoTorrijos, Maria CelesteOrlando, AntonioFractured Porous MediaSteady State FlowBiot-Coussy ModelX-Femhttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2In this paper, we study the fluid flow in a deformable porous linear elastic media with a single crack Γ. Fluid exchange between the crack and the surrounding porous media is taken into account through the definition of appropriate boundary conditions on Γ obtained by applying an averaging process of the Darcy flow within the crack. Two models are considered and compared: a semianalytical one which solves the general potential solution of the singular integral equation modelling the steady state flow in an infinite porous media with one linear crack, obtained by applying the complex potential method, and a numerical one based on the Extended Finite Element Method (XFEM) of the governing equations. The XFEM we apply employs the standard enriched basis functions represented by the Heaviside function on Γ to describe the discontinuity jump of the displacement field across the crack, the distance function to Γ to describe the non differentiability of the pressure field across Γ and the singular functions describing the View the MathML source-singularity at the crack tip of the stress and pressure field, where r is the distance to the crack tip. The semianalytical model is used to verify the application of the XFEM. We include then the coupling with the mechanical response of the body, which is analyzed by using only the XFEM. Several numerical experiments are then carried out which illustrate the variation of the hydro-mechanical quantities around the crack and within the crack.Fil: Luege, Mariela. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Instituto Nacional de Tecnologia Agropecuaria. Centro Reg.tucuman-santiago del Estero; ArgentinaFil: Lucero, Javier Bernardo. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Tucumán; ArgentinaFil: Torrijos, Maria Celeste. Universidad Nacional de la Plata. Laboratorio de Investigación y Desarrollo de Métodos Analíticos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Orlando, Antonio. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Tucumán; ArgentinaElsevier2014-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/7246Luege, Mariela; Lucero, Javier Bernardo; Torrijos, Maria Celeste; Orlando, Antonio; Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method; Elsevier; Applied Mathematical Modelling; 40; 7-8; 11-2014; 4480-45040307-904Xenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0307904X15007477info:eu-repo/semantics/altIdentifier/doi/10.1016/j.apm.2015.11.032info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:43:14Zoai:ri.conicet.gov.ar:11336/7246instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:43:14.778CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method
title Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method
spellingShingle Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method
Luege, Mariela
Fractured Porous Media
Steady State Flow
Biot-Coussy Model
X-Fem
title_short Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method
title_full Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method
title_fullStr Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method
title_full_unstemmed Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method
title_sort Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method
dc.creator.none.fl_str_mv Luege, Mariela
Lucero, Javier Bernardo
Torrijos, Maria Celeste
Orlando, Antonio
author Luege, Mariela
author_facet Luege, Mariela
Lucero, Javier Bernardo
Torrijos, Maria Celeste
Orlando, Antonio
author_role author
author2 Lucero, Javier Bernardo
Torrijos, Maria Celeste
Orlando, Antonio
author2_role author
author
author
dc.subject.none.fl_str_mv Fractured Porous Media
Steady State Flow
Biot-Coussy Model
X-Fem
topic Fractured Porous Media
Steady State Flow
Biot-Coussy Model
X-Fem
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In this paper, we study the fluid flow in a deformable porous linear elastic media with a single crack Γ. Fluid exchange between the crack and the surrounding porous media is taken into account through the definition of appropriate boundary conditions on Γ obtained by applying an averaging process of the Darcy flow within the crack. Two models are considered and compared: a semianalytical one which solves the general potential solution of the singular integral equation modelling the steady state flow in an infinite porous media with one linear crack, obtained by applying the complex potential method, and a numerical one based on the Extended Finite Element Method (XFEM) of the governing equations. The XFEM we apply employs the standard enriched basis functions represented by the Heaviside function on Γ to describe the discontinuity jump of the displacement field across the crack, the distance function to Γ to describe the non differentiability of the pressure field across Γ and the singular functions describing the View the MathML source-singularity at the crack tip of the stress and pressure field, where r is the distance to the crack tip. The semianalytical model is used to verify the application of the XFEM. We include then the coupling with the mechanical response of the body, which is analyzed by using only the XFEM. Several numerical experiments are then carried out which illustrate the variation of the hydro-mechanical quantities around the crack and within the crack.
Fil: Luege, Mariela. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Instituto Nacional de Tecnologia Agropecuaria. Centro Reg.tucuman-santiago del Estero; Argentina
Fil: Lucero, Javier Bernardo. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Tucumán; Argentina
Fil: Torrijos, Maria Celeste. Universidad Nacional de la Plata. Laboratorio de Investigación y Desarrollo de Métodos Analíticos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Orlando, Antonio. Universidad Nacional de Tucuman. Facultad de Ciencias Exactas y Tecnologia. Instituto de Estructuras ; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Tucumán; Argentina
description In this paper, we study the fluid flow in a deformable porous linear elastic media with a single crack Γ. Fluid exchange between the crack and the surrounding porous media is taken into account through the definition of appropriate boundary conditions on Γ obtained by applying an averaging process of the Darcy flow within the crack. Two models are considered and compared: a semianalytical one which solves the general potential solution of the singular integral equation modelling the steady state flow in an infinite porous media with one linear crack, obtained by applying the complex potential method, and a numerical one based on the Extended Finite Element Method (XFEM) of the governing equations. The XFEM we apply employs the standard enriched basis functions represented by the Heaviside function on Γ to describe the discontinuity jump of the displacement field across the crack, the distance function to Γ to describe the non differentiability of the pressure field across Γ and the singular functions describing the View the MathML source-singularity at the crack tip of the stress and pressure field, where r is the distance to the crack tip. The semianalytical model is used to verify the application of the XFEM. We include then the coupling with the mechanical response of the body, which is analyzed by using only the XFEM. Several numerical experiments are then carried out which illustrate the variation of the hydro-mechanical quantities around the crack and within the crack.
publishDate 2014
dc.date.none.fl_str_mv 2014-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/7246
Luege, Mariela; Lucero, Javier Bernardo; Torrijos, Maria Celeste; Orlando, Antonio; Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method; Elsevier; Applied Mathematical Modelling; 40; 7-8; 11-2014; 4480-4504
0307-904X
url http://hdl.handle.net/11336/7246
identifier_str_mv Luege, Mariela; Lucero, Javier Bernardo; Torrijos, Maria Celeste; Orlando, Antonio; Coupled mechanical and fluid flow analysis in fractured saturated porous media using the extended finite element method; Elsevier; Applied Mathematical Modelling; 40; 7-8; 11-2014; 4480-4504
0307-904X
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0307904X15007477
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.apm.2015.11.032
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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