Upscaling non-darcy flow

Detalhes bibliográficos
Autor(a) principal: Garibotti, Cristiano Rodrigues
Data de Publicação: 2009
Outros Autores: Peszynska, Malgorzata
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da FURG (RI FURG)
Texto Completo: http://repositorio.furg.br/handle/1/1146
Resumo: We consider upscaling of non-Darcy flow in heterogeneous porous media. Our approach extends the pressure-based numerical homogenization procedure for linear Darcy flow, due to Durlofsky, to the nonlinear case. The effective coefficients are not constants but rather mildly varying functions of prevailing gradients of pressure. The upscaled model approximates the fine grid model accurately and, in some cases, more accurately than what is expected for Darcy flow; this is due to the non–Darcy effects which suppress heterogeneity. We provide comparisons of alternative approaches as well as consider several variants of numerical realizations of the non–Darcy flow model. Numerical results show effectiveness of the upscaling procedure.
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spelling Upscaling non-darcy flowNon-darcy flowUpscalingNumerical homogenizationFinite differencesMixed finite elementsWe consider upscaling of non-Darcy flow in heterogeneous porous media. Our approach extends the pressure-based numerical homogenization procedure for linear Darcy flow, due to Durlofsky, to the nonlinear case. The effective coefficients are not constants but rather mildly varying functions of prevailing gradients of pressure. The upscaled model approximates the fine grid model accurately and, in some cases, more accurately than what is expected for Darcy flow; this is due to the non–Darcy effects which suppress heterogeneity. We provide comparisons of alternative approaches as well as consider several variants of numerical realizations of the non–Darcy flow model. Numerical results show effectiveness of the upscaling procedure.2011-10-28T12:53:31Z2011-10-28T12:53:31Z2009info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfGARIBOTTI, C. R.; PESZYNSKA, M.. Upscaling non-darcy flow. Transport in porous media, v. 80, p. 401-430, 2009. Disponível em: <http://www.math.oregonstate.edu/files/math/paper17_GP09.pdf>. Acesso em: 25 out. 2011.http://repositorio.furg.br/handle/1/1146engGaribotti, Cristiano RodriguesPeszynska, Malgorzatainfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da FURG (RI FURG)instname:Universidade Federal do Rio Grande (FURG)instacron:FURG2011-10-28T12:53:31Zoai:repositorio.furg.br:1/1146Repositório InstitucionalPUBhttps://repositorio.furg.br/oai/request || http://200.19.254.174/oai/requestopendoar:2011-10-28T12:53:31Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)false
dc.title.none.fl_str_mv Upscaling non-darcy flow
title Upscaling non-darcy flow
spellingShingle Upscaling non-darcy flow
Garibotti, Cristiano Rodrigues
Non-darcy flow
Upscaling
Numerical homogenization
Finite differences
Mixed finite elements
title_short Upscaling non-darcy flow
title_full Upscaling non-darcy flow
title_fullStr Upscaling non-darcy flow
title_full_unstemmed Upscaling non-darcy flow
title_sort Upscaling non-darcy flow
author Garibotti, Cristiano Rodrigues
author_facet Garibotti, Cristiano Rodrigues
Peszynska, Malgorzata
author_role author
author2 Peszynska, Malgorzata
author2_role author
dc.contributor.author.fl_str_mv Garibotti, Cristiano Rodrigues
Peszynska, Malgorzata
dc.subject.por.fl_str_mv Non-darcy flow
Upscaling
Numerical homogenization
Finite differences
Mixed finite elements
topic Non-darcy flow
Upscaling
Numerical homogenization
Finite differences
Mixed finite elements
description We consider upscaling of non-Darcy flow in heterogeneous porous media. Our approach extends the pressure-based numerical homogenization procedure for linear Darcy flow, due to Durlofsky, to the nonlinear case. The effective coefficients are not constants but rather mildly varying functions of prevailing gradients of pressure. The upscaled model approximates the fine grid model accurately and, in some cases, more accurately than what is expected for Darcy flow; this is due to the non–Darcy effects which suppress heterogeneity. We provide comparisons of alternative approaches as well as consider several variants of numerical realizations of the non–Darcy flow model. Numerical results show effectiveness of the upscaling procedure.
publishDate 2009
dc.date.none.fl_str_mv 2009
2011-10-28T12:53:31Z
2011-10-28T12:53:31Z
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 GARIBOTTI, C. R.; PESZYNSKA, M.. Upscaling non-darcy flow. Transport in porous media, v. 80, p. 401-430, 2009. Disponível em: <http://www.math.oregonstate.edu/files/math/paper17_GP09.pdf>. Acesso em: 25 out. 2011.
http://repositorio.furg.br/handle/1/1146
identifier_str_mv GARIBOTTI, C. R.; PESZYNSKA, M.. Upscaling non-darcy flow. Transport in porous media, v. 80, p. 401-430, 2009. Disponível em: <http://www.math.oregonstate.edu/files/math/paper17_GP09.pdf>. Acesso em: 25 out. 2011.
url http://repositorio.furg.br/handle/1/1146
dc.language.iso.fl_str_mv eng
language eng
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.source.none.fl_str_mv reponame:Repositório Institucional da FURG (RI FURG)
instname:Universidade Federal do Rio Grande (FURG)
instacron:FURG
instname_str Universidade Federal do Rio Grande (FURG)
instacron_str FURG
institution FURG
reponame_str Repositório Institucional da FURG (RI FURG)
collection Repositório Institucional da FURG (RI FURG)
repository.name.fl_str_mv Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)
repository.mail.fl_str_mv
_version_ 1807384371936624640

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