File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media

TitleNonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media
Authors
KeywordsNonlocal multicontinua method
Multiscale method
Fractured porous media
NLMC
Upscaling method
Multicontinua flow problem
Issue Date2019
Citation
Journal of Computational and Applied Mathematics, 2019, v. 355, p. 258-267 How to Cite?
AbstractOur goal of this paper is to develop a new upscaling method for multicontinua flow problems in fractured porous media. We consider a system of equations that describes flow phenomena with multiple flow variables defined on both matrix and fractures. To construct our upscaled model, we will apply the nonlocal multicontinua (NLMC) upscaling technique. The upscaled coefficients are obtained by using some multiscale basis functions, which are solutions of local problems defined on oversampled regions. For each continuum within a target coarse element, we will solve a local problem defined on an oversampling region obtained by extending the target element by few coarse grid layers, with a set of constraints which enforce the local solution to have mean value one on the chosen continuum and zero mean otherwise. The resulting multiscale basis functions have been shown to have good approximation properties. To illustrate the idea of our approach, we will consider a dual continua background model consisting of discrete fractures in two space dimensions, that is, we consider a system with three continua. We will present several numerical examples, and they show that our method is able to capture the interaction between matrix continua and discrete fractures on the coarse grid efficiently.
Persistent Identifierhttp://hdl.handle.net/10722/303602
ISSN
2020 Impact Factor: 2.621
2020 SCImago Journal Rankings: 0.876
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorVasilyeva, Maria-
dc.contributor.authorChung, Eric T.-
dc.contributor.authorCheung, Siu Wun-
dc.contributor.authorWang, Yating-
dc.contributor.authorProkopev, Georgy-
dc.date.accessioned2021-09-15T08:25:39Z-
dc.date.available2021-09-15T08:25:39Z-
dc.date.issued2019-
dc.identifier.citationJournal of Computational and Applied Mathematics, 2019, v. 355, p. 258-267-
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/10722/303602-
dc.description.abstractOur goal of this paper is to develop a new upscaling method for multicontinua flow problems in fractured porous media. We consider a system of equations that describes flow phenomena with multiple flow variables defined on both matrix and fractures. To construct our upscaled model, we will apply the nonlocal multicontinua (NLMC) upscaling technique. The upscaled coefficients are obtained by using some multiscale basis functions, which are solutions of local problems defined on oversampled regions. For each continuum within a target coarse element, we will solve a local problem defined on an oversampling region obtained by extending the target element by few coarse grid layers, with a set of constraints which enforce the local solution to have mean value one on the chosen continuum and zero mean otherwise. The resulting multiscale basis functions have been shown to have good approximation properties. To illustrate the idea of our approach, we will consider a dual continua background model consisting of discrete fractures in two space dimensions, that is, we consider a system with three continua. We will present several numerical examples, and they show that our method is able to capture the interaction between matrix continua and discrete fractures on the coarse grid efficiently.-
dc.languageeng-
dc.relation.ispartofJournal of Computational and Applied Mathematics-
dc.subjectNonlocal multicontinua method-
dc.subjectMultiscale method-
dc.subjectFractured porous media-
dc.subjectNLMC-
dc.subjectUpscaling method-
dc.subjectMulticontinua flow problem-
dc.titleNonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cam.2019.01.024-
dc.identifier.scopuseid_2-s2.0-85061830352-
dc.identifier.volume355-
dc.identifier.spage258-
dc.identifier.epage267-
dc.identifier.isiWOS:000463302400019-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats