Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios

Detalhes bibliográficos
Autor(a) principal: Sesini,Paula A.
Data de Publicação: 2010
Outros Autores: Souza,Denis A. F. de, Coutinho,Alvaro L. G. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000300013
Resumo: Numerical simulations of viscous fingering instabilities in miscible displacements at high mobility-ratios are presented. Anisotropic dispersion and monotonic viscosity profiles are considered. The coupled set of partial differential equations is approximated by the semi-discrete SUPG stabilized finite element formulation plus a discontinuity capturing technique to improve stability around the moving sharp fronts. The pressure equation is discretized by the standard Galerkin method, and a post-processing scheme is used to improve the numerical evaluation of Darcy's velocity. In the resulting scheme all variables (concentration, pressure and velocity) are approximated by equal order linear triangular elements. A homogeneous channel and a radial system were studied. Complex nonlinear viscous fingering mechanisms for high mobility-ratio miscible displacements were observed.
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spelling Finite element simulation of viscous fingering in miscible displacements at high mobility-ratiosviscous fingeringmiscible displacementstabilized finite elementsNumerical simulations of viscous fingering instabilities in miscible displacements at high mobility-ratios are presented. Anisotropic dispersion and monotonic viscosity profiles are considered. The coupled set of partial differential equations is approximated by the semi-discrete SUPG stabilized finite element formulation plus a discontinuity capturing technique to improve stability around the moving sharp fronts. The pressure equation is discretized by the standard Galerkin method, and a post-processing scheme is used to improve the numerical evaluation of Darcy's velocity. In the resulting scheme all variables (concentration, pressure and velocity) are approximated by equal order linear triangular elements. A homogeneous channel and a radial system were studied. Complex nonlinear viscous fingering mechanisms for high mobility-ratio miscible displacements were observed.Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM2010-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000300013Journal of the Brazilian Society of Mechanical Sciences and Engineering v.32 n.3 2010reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1678-58782010000300013info:eu-repo/semantics/openAccessSesini,Paula A.Souza,Denis A. F. deCoutinho,Alvaro L. G. A.eng2010-12-01T00:00:00Zoai:scielo:S1678-58782010000300013Revistahttps://www.scielo.br/j/jbsmse/https://old.scielo.br/oai/scielo-oai.php||abcm@abcm.org.br1806-36911678-5878opendoar:2010-12-01T00:00Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
title Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
spellingShingle Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
Sesini,Paula A.
viscous fingering
miscible displacement
stabilized finite elements
title_short Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
title_full Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
title_fullStr Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
title_full_unstemmed Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
title_sort Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
author Sesini,Paula A.
author_facet Sesini,Paula A.
Souza,Denis A. F. de
Coutinho,Alvaro L. G. A.
author_role author
author2 Souza,Denis A. F. de
Coutinho,Alvaro L. G. A.
author2_role author
author
dc.contributor.author.fl_str_mv Sesini,Paula A.
Souza,Denis A. F. de
Coutinho,Alvaro L. G. A.
dc.subject.por.fl_str_mv viscous fingering
miscible displacement
stabilized finite elements
topic viscous fingering
miscible displacement
stabilized finite elements
description Numerical simulations of viscous fingering instabilities in miscible displacements at high mobility-ratios are presented. Anisotropic dispersion and monotonic viscosity profiles are considered. The coupled set of partial differential equations is approximated by the semi-discrete SUPG stabilized finite element formulation plus a discontinuity capturing technique to improve stability around the moving sharp fronts. The pressure equation is discretized by the standard Galerkin method, and a post-processing scheme is used to improve the numerical evaluation of Darcy's velocity. In the resulting scheme all variables (concentration, pressure and velocity) are approximated by equal order linear triangular elements. A homogeneous channel and a radial system were studied. Complex nonlinear viscous fingering mechanisms for high mobility-ratio miscible displacements were observed.
publishDate 2010
dc.date.none.fl_str_mv 2010-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000300013
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000300013
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1678-58782010000300013
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
dc.source.none.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering v.32 n.3 2010
reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
collection Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
repository.name.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv ||abcm@abcm.org.br
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