Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations
Autor(a) principal: | |
---|---|
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/10.1016/j.cma.2022.114804 http://hdl.handle.net/11449/223668 |
Resumo: | This paper presents the first unified finite element strategy for coupled hydro-mechanical (HM) analysis of fractured porous media where cracks arbitrarily intersect standard finite elements. This strategy is built by employing a discrete strong discontinuity approach and a coupling finite elements framework for the mechanical displacement and fluid pressure fields, respectively. The unified nature of the formulation means that both fracture network and bulk do not need to conform while relying only on standard finite element shape functions. The crack framework is directly embedded in the standard finite elements in both mechanical and fluid field approximations by applying two simple coupling statements. These establish the transmission of displacements due to crack openings accounted by shear and normal stiffness, as well as the internal compatibility of the longitudinal pressure field within the crack network and bulk. Uniquely, the coupling techniques presented here do not require additional degrees of freedom. In addition, the traction at discontinuities and its interaction with the fluid pressure within the discontinuity have a direct physical meaning, and are automatically accounted for in the coupled HM model. Since only standard shape functions are used, the implementation remains simple despite the complexity of the problem being simulated, and no special integration procedures within split domains are required. This is a novelty that contrasts with many existing formulations based on the partition of the unity method and non-matching meshes. Five numerical verification examples are used to assess the performance of the proposed method against existing reference solutions. A good agreement is found between the proposed method and reference solutions. |
id |
UNSP_c5c8c17daae70ce446214a3e2e55cc2b |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/223668 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisationsCoupling elementsEmbedded discontinuitiesFractured porous mediaHydro-mechanical couplingIndependent discretisationThis paper presents the first unified finite element strategy for coupled hydro-mechanical (HM) analysis of fractured porous media where cracks arbitrarily intersect standard finite elements. This strategy is built by employing a discrete strong discontinuity approach and a coupling finite elements framework for the mechanical displacement and fluid pressure fields, respectively. The unified nature of the formulation means that both fracture network and bulk do not need to conform while relying only on standard finite element shape functions. The crack framework is directly embedded in the standard finite elements in both mechanical and fluid field approximations by applying two simple coupling statements. These establish the transmission of displacements due to crack openings accounted by shear and normal stiffness, as well as the internal compatibility of the longitudinal pressure field within the crack network and bulk. Uniquely, the coupling techniques presented here do not require additional degrees of freedom. In addition, the traction at discontinuities and its interaction with the fluid pressure within the discontinuity have a direct physical meaning, and are automatically accounted for in the coupled HM model. Since only standard shape functions are used, the implementation remains simple despite the complexity of the problem being simulated, and no special integration procedures within split domains are required. This is a novelty that contrasts with many existing formulations based on the partition of the unity method and non-matching meshes. Five numerical verification examples are used to assess the performance of the proposed method against existing reference solutions. A good agreement is found between the proposed method and reference solutions.Australian Research CouncilConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)School of Civil Engineering The University of SydneyPolytechnic School at the University of São PauloSão Paulo State University UNESP/BauruSão Paulo State University UNESP/BauruCNPq: 310223/2020-2CNPq: 310401/2019-4The University of SydneyUniversidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Damirchi, Behnam V.Bitencourt, Luís A.G.Manzoli, Osvaldo L. [UNESP]Dias-da-Costa, Daniel2022-04-28T19:52:02Z2022-04-28T19:52:02Z2022-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.cma.2022.114804Computer Methods in Applied Mechanics and Engineering, v. 393.0045-7825http://hdl.handle.net/11449/22366810.1016/j.cma.2022.1148042-s2.0-85126542304Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputer Methods in Applied Mechanics and Engineeringinfo:eu-repo/semantics/openAccess2022-04-28T19:52:02Zoai:repositorio.unesp.br:11449/223668Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T19:52:02Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations |
title |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations |
spellingShingle |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations Damirchi, Behnam V. Coupling elements Embedded discontinuities Fractured porous media Hydro-mechanical coupling Independent discretisation |
title_short |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations |
title_full |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations |
title_fullStr |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations |
title_full_unstemmed |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations |
title_sort |
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations |
author |
Damirchi, Behnam V. |
author_facet |
Damirchi, Behnam V. Bitencourt, Luís A.G. Manzoli, Osvaldo L. [UNESP] Dias-da-Costa, Daniel |
author_role |
author |
author2 |
Bitencourt, Luís A.G. Manzoli, Osvaldo L. [UNESP] Dias-da-Costa, Daniel |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
The University of Sydney Universidade de São Paulo (USP) Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Damirchi, Behnam V. Bitencourt, Luís A.G. Manzoli, Osvaldo L. [UNESP] Dias-da-Costa, Daniel |
dc.subject.por.fl_str_mv |
Coupling elements Embedded discontinuities Fractured porous media Hydro-mechanical coupling Independent discretisation |
topic |
Coupling elements Embedded discontinuities Fractured porous media Hydro-mechanical coupling Independent discretisation |
description |
This paper presents the first unified finite element strategy for coupled hydro-mechanical (HM) analysis of fractured porous media where cracks arbitrarily intersect standard finite elements. This strategy is built by employing a discrete strong discontinuity approach and a coupling finite elements framework for the mechanical displacement and fluid pressure fields, respectively. The unified nature of the formulation means that both fracture network and bulk do not need to conform while relying only on standard finite element shape functions. The crack framework is directly embedded in the standard finite elements in both mechanical and fluid field approximations by applying two simple coupling statements. These establish the transmission of displacements due to crack openings accounted by shear and normal stiffness, as well as the internal compatibility of the longitudinal pressure field within the crack network and bulk. Uniquely, the coupling techniques presented here do not require additional degrees of freedom. In addition, the traction at discontinuities and its interaction with the fluid pressure within the discontinuity have a direct physical meaning, and are automatically accounted for in the coupled HM model. Since only standard shape functions are used, the implementation remains simple despite the complexity of the problem being simulated, and no special integration procedures within split domains are required. This is a novelty that contrasts with many existing formulations based on the partition of the unity method and non-matching meshes. Five numerical verification examples are used to assess the performance of the proposed method against existing reference solutions. A good agreement is found between the proposed method and reference solutions. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-04-28T19:52:02Z 2022-04-28T19:52:02Z 2022-04-01 |
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/10.1016/j.cma.2022.114804 Computer Methods in Applied Mechanics and Engineering, v. 393. 0045-7825 http://hdl.handle.net/11449/223668 10.1016/j.cma.2022.114804 2-s2.0-85126542304 |
url |
http://dx.doi.org/10.1016/j.cma.2022.114804 http://hdl.handle.net/11449/223668 |
identifier_str_mv |
Computer Methods in Applied Mechanics and Engineering, v. 393. 0045-7825 10.1016/j.cma.2022.114804 2-s2.0-85126542304 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Computer Methods in Applied Mechanics and Engineering |
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_ |
1797789822966824960 |