Asymptotic models for free boundary flow in porous media

We provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness parameter of the interface is considered to be very small. The models we derive capture the nonlinear interaction of the or...

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Authors: Granero-Belinchon, R., Scrobogna, S.
Format: article
Status:Versión aceptada para publicación
Publication Date:2019
Country:España
Institution:Basque Center for Applied Mathematics (BCAM)
Repository:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/939
Online Access:http://hdl.handle.net/20.500.11824/939
Access Level:Open access
Keyword:Muskat
Free boundary
Porous media
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spelling Asymptotic models for free boundary flow in porous mediaGranero-Belinchon, R.Scrobogna, S.MuskatFree boundaryPorous mediaWe provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness parameter of the interface is considered to be very small. The models we derive capture the nonlinear interaction of the original free boundary Darcy and Forchheimer problem up to quadratic terms. Furthermore, we provide models that consider both the two-dimensional and three-dimensional cases, with and without bottom topography.201920192019info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/939reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Inglésinfo:eu-repo/grantAgreement/MINECO//SEV-2017-0718info:eu-repo/grantAgreement/MINECO//MTM2017-82184-Rinfo:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/9392026-06-19T12:47:47Z
dc.title.none.fl_str_mv Asymptotic models for free boundary flow in porous media
title Asymptotic models for free boundary flow in porous media
spellingShingle Asymptotic models for free boundary flow in porous media
Granero-Belinchon, R.
Muskat
Free boundary
Porous media
title_short Asymptotic models for free boundary flow in porous media
title_full Asymptotic models for free boundary flow in porous media
title_fullStr Asymptotic models for free boundary flow in porous media
title_full_unstemmed Asymptotic models for free boundary flow in porous media
title_sort Asymptotic models for free boundary flow in porous media
dc.creator.none.fl_str_mv Granero-Belinchon, R.
Scrobogna, S.
author Granero-Belinchon, R.
author_facet Granero-Belinchon, R.
Scrobogna, S.
author_role author
author2 Scrobogna, S.
author2_role author
dc.subject.none.fl_str_mv Muskat
Free boundary
Porous media
topic Muskat
Free boundary
Porous media
description We provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness parameter of the interface is considered to be very small. The models we derive capture the nonlinear interaction of the original free boundary Darcy and Forchheimer problem up to quadratic terms. Furthermore, we provide models that consider both the two-dimensional and three-dimensional cases, with and without bottom topography.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/939
url http://hdl.handle.net/20.500.11824/939
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
info:eu-repo/grantAgreement/MINECO//MTM2017-82184-R
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
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