Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements
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/10.1016/j.petrol.2021.109700 http://hdl.handle.net/11449/222827 |
Resumo: | Fractures, vugs and barriers are geological structures that strongly affect the fluid flow in porous media. While the first two lead to the formation of preferential flow paths, the latter blocks the flow and induces discontinuities in the pressure field. The difference in scale between these structures and the porous medium can be significant and, therefore, appropriate numerical models are required to take into account their interactions. In the context of the finite element method, this work presents a methodology to couple equi-dimensional and independent meshes (i.e., non-matching meshes) of geological structures and the porous medium by using coupling finite elements (CFEs), which are able to connect the meshes via a penalty method that ensures the continuity of the pressure field. This technique is easy to implement and does not require any special formulation, since the shape functions of the CFE are the ones used in conventional finite elements. Moreover, the addition of the CFE does not increase the number of degrees of freedom of the problem. In order to show that the technique has great potential to capture the main phenomena related to the fluid flow problem in a porous medium, 2D single-phase flow numerical experiments were conducted by considering different geological structures, geometries and boundary conditions, with incompressible fluid. The methodology was validated by comparing the results obtained with several DFM methods available in the literature as well as considering matching meshes between matrix and fracture. The results showed that the proposed coupling scheme applied to equi-dimensional meshes is adequate to reproduce the influence of geological formations such as fractures, vugs and barriers on the hydrodynamic behavior of fluids in porous media. |
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Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elementsBarriersCoupling finite elementsNaturally fractured reservoirsNon-matching meshesPorous mediumFractures, vugs and barriers are geological structures that strongly affect the fluid flow in porous media. While the first two lead to the formation of preferential flow paths, the latter blocks the flow and induces discontinuities in the pressure field. The difference in scale between these structures and the porous medium can be significant and, therefore, appropriate numerical models are required to take into account their interactions. In the context of the finite element method, this work presents a methodology to couple equi-dimensional and independent meshes (i.e., non-matching meshes) of geological structures and the porous medium by using coupling finite elements (CFEs), which are able to connect the meshes via a penalty method that ensures the continuity of the pressure field. This technique is easy to implement and does not require any special formulation, since the shape functions of the CFE are the ones used in conventional finite elements. Moreover, the addition of the CFE does not increase the number of degrees of freedom of the problem. In order to show that the technique has great potential to capture the main phenomena related to the fluid flow problem in a porous medium, 2D single-phase flow numerical experiments were conducted by considering different geological structures, geometries and boundary conditions, with incompressible fluid. The methodology was validated by comparing the results obtained with several DFM methods available in the literature as well as considering matching meshes between matrix and fracture. The results showed that the proposed coupling scheme applied to equi-dimensional meshes is adequate to reproduce the influence of geological formations such as fractures, vugs and barriers on the hydrodynamic behavior of fluids in porous media.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Department of Mechanical Engineering São Paulo State University (UNESP), Av. Eng. Luiz Edmundo Carrijo Coube 14-01Department of Civil and Environmental Engineering São Paulo State University (UNESP), Av. Eng. Luiz Edmundo Carrijo Coube 14-01Faculty of Civil Engineering Federal University of Uberlândia, Av. João Naves de Ávila, 2121 - Santa MônicaDepartment of Structural and Geotechnical Engineering University of São Paulo (USP), Av. Prof. Luciano Gualberto, Trav. 3 n. 380Department of Mechanical Engineering São Paulo State University (UNESP), Av. Eng. Luiz Edmundo Carrijo Coube 14-01Department of Civil and Environmental Engineering São Paulo State University (UNESP), Av. Eng. Luiz Edmundo Carrijo Coube 14-01CAPES: 2018/00205-5CNPq: 310223/2020-2CNPq: 310401/2019-4Universidade Estadual Paulista (UNESP)Universidade Federal de Uberlândia (UFU)Universidade de São Paulo (USP)Camargo, Murilo [UNESP]Cleto, Pedro R. [UNESP]Maedo, Michael A.Rodrigues, Eduardo A. [UNESP]Bitencourt, Luís A.G.Manzoli, Osvaldo L. [UNESP]2022-04-28T19:47:03Z2022-04-28T19:47:03Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.petrol.2021.109700Journal of Petroleum Science and Engineering, v. 208.0920-4105http://hdl.handle.net/11449/22282710.1016/j.petrol.2021.1097002-s2.0-85118762696Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Petroleum Science and Engineeringinfo:eu-repo/semantics/openAccess2022-04-28T19:47:03Zoai:repositorio.unesp.br:11449/222827Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T19:47:03Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements |
title |
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements |
spellingShingle |
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements Camargo, Murilo [UNESP] Barriers Coupling finite elements Naturally fractured reservoirs Non-matching meshes Porous medium |
title_short |
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements |
title_full |
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements |
title_fullStr |
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements |
title_full_unstemmed |
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements |
title_sort |
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements |
author |
Camargo, Murilo [UNESP] |
author_facet |
Camargo, Murilo [UNESP] Cleto, Pedro R. [UNESP] Maedo, Michael A. Rodrigues, Eduardo A. [UNESP] Bitencourt, Luís A.G. Manzoli, Osvaldo L. [UNESP] |
author_role |
author |
author2 |
Cleto, Pedro R. [UNESP] Maedo, Michael A. Rodrigues, Eduardo A. [UNESP] Bitencourt, Luís A.G. Manzoli, Osvaldo L. [UNESP] |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidade Federal de Uberlândia (UFU) Universidade de São Paulo (USP) |
dc.contributor.author.fl_str_mv |
Camargo, Murilo [UNESP] Cleto, Pedro R. [UNESP] Maedo, Michael A. Rodrigues, Eduardo A. [UNESP] Bitencourt, Luís A.G. Manzoli, Osvaldo L. [UNESP] |
dc.subject.por.fl_str_mv |
Barriers Coupling finite elements Naturally fractured reservoirs Non-matching meshes Porous medium |
topic |
Barriers Coupling finite elements Naturally fractured reservoirs Non-matching meshes Porous medium |
description |
Fractures, vugs and barriers are geological structures that strongly affect the fluid flow in porous media. While the first two lead to the formation of preferential flow paths, the latter blocks the flow and induces discontinuities in the pressure field. The difference in scale between these structures and the porous medium can be significant and, therefore, appropriate numerical models are required to take into account their interactions. In the context of the finite element method, this work presents a methodology to couple equi-dimensional and independent meshes (i.e., non-matching meshes) of geological structures and the porous medium by using coupling finite elements (CFEs), which are able to connect the meshes via a penalty method that ensures the continuity of the pressure field. This technique is easy to implement and does not require any special formulation, since the shape functions of the CFE are the ones used in conventional finite elements. Moreover, the addition of the CFE does not increase the number of degrees of freedom of the problem. In order to show that the technique has great potential to capture the main phenomena related to the fluid flow problem in a porous medium, 2D single-phase flow numerical experiments were conducted by considering different geological structures, geometries and boundary conditions, with incompressible fluid. The methodology was validated by comparing the results obtained with several DFM methods available in the literature as well as considering matching meshes between matrix and fracture. The results showed that the proposed coupling scheme applied to equi-dimensional meshes is adequate to reproduce the influence of geological formations such as fractures, vugs and barriers on the hydrodynamic behavior of fluids in porous media. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-04-28T19:47:03Z 2022-04-28T19:47:03Z 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/10.1016/j.petrol.2021.109700 Journal of Petroleum Science and Engineering, v. 208. 0920-4105 http://hdl.handle.net/11449/222827 10.1016/j.petrol.2021.109700 2-s2.0-85118762696 |
url |
http://dx.doi.org/10.1016/j.petrol.2021.109700 http://hdl.handle.net/11449/222827 |
identifier_str_mv |
Journal of Petroleum Science and Engineering, v. 208. 0920-4105 10.1016/j.petrol.2021.109700 2-s2.0-85118762696 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Petroleum Science 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 |
|
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1803046516472938496 |