Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects

Detalhes bibliográficos
Autor(a) principal: Razminia, Kambiz
Data de Publicação: 2015
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/10400.22/8817
Resumo: This paper addresses the model, solution, and analysis of fluid flow behavior in fractal reservoirs considering wellbore storage and skin effects (WS–SE). In the light of the fractional calculus (FC), the general form of fluid flow model considering the history of flow in all stages of production is presented. On the basis of Bessel functions theory, analytical solutions in the Laplace transform domain under three outer-boundary conditions, assuming the well is producing at a constant rate, are obtained. Based on the analytical solutions, various examples, discussing the pressure-transient behavior of a well in a fractal reservoir, are presented.
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spelling Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin EffectsPressureFlow (Dynamics)ReservoirsFractalsSkinStorageThis paper addresses the model, solution, and analysis of fluid flow behavior in fractal reservoirs considering wellbore storage and skin effects (WS–SE). In the light of the fractional calculus (FC), the general form of fluid flow model considering the history of flow in all stages of production is presented. On the basis of Bessel functions theory, analytical solutions in the Laplace transform domain under three outer-boundary conditions, assuming the well is producing at a constant rate, are obtained. Based on the analytical solutions, various examples, discussing the pressure-transient behavior of a well in a fractal reservoir, are presented.Repositório Científico do Instituto Politécnico do PortoRazminia, KambizRazminia, AbolhassanMachado, J. A. Tenreiro2016-12-14T14:53:58Z2015-06-302015-06-30T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/8817eng10.1115/1.4030534metadata only accessinfo: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:RCAAP2023-03-13T12:48:56Zoai:recipp.ipp.pt:10400.22/8817Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:28:39.303159Repositório 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 Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
title Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
spellingShingle Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
Razminia, Kambiz
Pressure
Flow (Dynamics)
Reservoirs
Fractals
Skin
Storage
title_short Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
title_full Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
title_fullStr Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
title_full_unstemmed Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
title_sort Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
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 Pressure
Flow (Dynamics)
Reservoirs
Fractals
Skin
Storage
topic Pressure
Flow (Dynamics)
Reservoirs
Fractals
Skin
Storage
description This paper addresses the model, solution, and analysis of fluid flow behavior in fractal reservoirs considering wellbore storage and skin effects (WS–SE). In the light of the fractional calculus (FC), the general form of fluid flow model considering the history of flow in all stages of production is presented. On the basis of Bessel functions theory, analytical solutions in the Laplace transform domain under three outer-boundary conditions, assuming the well is producing at a constant rate, are obtained. Based on the analytical solutions, various examples, discussing the pressure-transient behavior of a well in a fractal reservoir, are presented.
publishDate 2015
dc.date.none.fl_str_mv 2015-06-30
2015-06-30T00:00:00Z
2016-12-14T14:53:58Z
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/10400.22/8817
url http://hdl.handle.net/10400.22/8817
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1115/1.4030534
dc.rights.driver.fl_str_mv metadata only access
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
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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
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