Analysis of diffusion process in fractured reservoirs using fractional derivative approach

Detalhes bibliográficos
Autor(a) principal: Razminia, Kambiz
Data de Publicação: 2014
Outros Autores: Razminia, Abolhassan, Machado, J. A. Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/5483
Resumo: The fractal geometry is used to model of a naturally fractured reservoir and the concept of fractional derivative is applied to the diffusion equation to incorporate the history of fluid flow in naturally fractured reservoirs. The resulting fractally fractional diffusion (FFD) equation is solved analytically in the Laplace space for three outer boundary conditions. The analytical solutions are used to analyze the response of a naturally fractured reservoir considering the anomalous behavior of oil production. Several synthetic examples are provided to illustrate the methodology proposed in this work and to explain the diffusion process in fractally fractured systems.
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spelling Analysis of diffusion process in fractured reservoirs using fractional derivative approachFractal geometryNaturally fractured reservoirFractional derivativeFFD modelThe fractal geometry is used to model of a naturally fractured reservoir and the concept of fractional derivative is applied to the diffusion equation to incorporate the history of fluid flow in naturally fractured reservoirs. The resulting fractally fractional diffusion (FFD) equation is solved analytically in the Laplace space for three outer boundary conditions. The analytical solutions are used to analyze the response of a naturally fractured reservoir considering the anomalous behavior of oil production. Several synthetic examples are provided to illustrate the methodology proposed in this work and to explain the diffusion process in fractally fractured systems.ElsevierRepositório Científico do Instituto Politécnico do PortoRazminia, KambizRazminia, AbolhassanMachado, J. A. Tenreiro2015-01-27T11:39:52Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/5483eng1007-570410.1016/j.cnsns.2014.01.025info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:45:35Zoai:recipp.ipp.pt:10400.22/5483Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:26:09.140867Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Analysis of diffusion process in fractured reservoirs using fractional derivative approach
title Analysis of diffusion process in fractured reservoirs using fractional derivative approach
spellingShingle Analysis of diffusion process in fractured reservoirs using fractional derivative approach
Razminia, Kambiz
Fractal geometry
Naturally fractured reservoir
Fractional derivative
FFD model
title_short Analysis of diffusion process in fractured reservoirs using fractional derivative approach
title_full Analysis of diffusion process in fractured reservoirs using fractional derivative approach
title_fullStr Analysis of diffusion process in fractured reservoirs using fractional derivative approach
title_full_unstemmed Analysis of diffusion process in fractured reservoirs using fractional derivative approach
title_sort Analysis of diffusion process in fractured reservoirs using fractional derivative approach
author Razminia, Kambiz
author_facet Razminia, Kambiz
Razminia, Abolhassan
Machado, J. A. Tenreiro
author_role author
author2 Razminia, Abolhassan
Machado, J. A. Tenreiro
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Razminia, Kambiz
Razminia, Abolhassan
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Fractal geometry
Naturally fractured reservoir
Fractional derivative
FFD model
topic Fractal geometry
Naturally fractured reservoir
Fractional derivative
FFD model
description The fractal geometry is used to model of a naturally fractured reservoir and the concept of fractional derivative is applied to the diffusion equation to incorporate the history of fluid flow in naturally fractured reservoirs. The resulting fractally fractional diffusion (FFD) equation is solved analytically in the Laplace space for three outer boundary conditions. The analytical solutions are used to analyze the response of a naturally fractured reservoir considering the anomalous behavior of oil production. Several synthetic examples are provided to illustrate the methodology proposed in this work and to explain the diffusion process in fractally fractured systems.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2015-01-27T11:39:52Z
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://hdl.handle.net/10400.22/5483
url http://hdl.handle.net/10400.22/5483
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1007-5704
10.1016/j.cnsns.2014.01.025
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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