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Article: Non-local multi-continua upscaling for flows in heterogeneous fractured media

TitleNon-local multi-continua upscaling for flows in heterogeneous fractured media
Authors
KeywordsMultiscale
Multi-continuum
Flow in heterogeneous media
Fracture
Upscaling
Non-local
Issue Date2018
Citation
Journal of Computational Physics, 2018, v. 372, p. 22-34 How to Cite?
AbstractIn this paper, we propose a rigorous and accurate non-local (in the oversampled region) upscaling framework based on some recently developed multiscale methods [10]. Our proposed method consists of identifying multi-continua parameters via local basis functions and constructing non-local (in the oversampled region) transfer and effective properties. To achieve this, we significantly modify our recent work proposed within Generalized Multiscale Finite Element Method (GMsFEM) in [10] and derive appropriate local problems in oversampled regions once we identify important modes representing each continuum. We use piecewise constant functions in each fracture network and in the matrix to write an upscaled equation. Thus, the resulting upscaled equation is of minimal size and the unknowns are average pressures in the fractures and the matrix. Note that the use of non-local upscaled model for porous media flows is not new, e.g., in [14], the authors derive non-local approach. Our main contribution is identifying appropriate local problems together with local spectral modes to represent each continuum. The model problem for fractures assumes that one can identify fracture networks. The resulting non-local equation (restricted to the oversampling region, which is several times larger compared to the target coarse block) has the same form as [14] with much smaller local regions. We present numerical results, which show that the proposed approach can provide good accuracy.
Persistent Identifierhttp://hdl.handle.net/10722/303564
ISSN
2020 Impact Factor: 3.553
2020 SCImago Journal Rankings: 1.882
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChung, Eric T.-
dc.contributor.authorEfendiev, Yalchin-
dc.contributor.authorLeung, Wing Tat-
dc.contributor.authorVasilyeva, Maria-
dc.contributor.authorWang, Yating-
dc.date.accessioned2021-09-15T08:25:34Z-
dc.date.available2021-09-15T08:25:34Z-
dc.date.issued2018-
dc.identifier.citationJournal of Computational Physics, 2018, v. 372, p. 22-34-
dc.identifier.issn0021-9991-
dc.identifier.urihttp://hdl.handle.net/10722/303564-
dc.description.abstractIn this paper, we propose a rigorous and accurate non-local (in the oversampled region) upscaling framework based on some recently developed multiscale methods [10]. Our proposed method consists of identifying multi-continua parameters via local basis functions and constructing non-local (in the oversampled region) transfer and effective properties. To achieve this, we significantly modify our recent work proposed within Generalized Multiscale Finite Element Method (GMsFEM) in [10] and derive appropriate local problems in oversampled regions once we identify important modes representing each continuum. We use piecewise constant functions in each fracture network and in the matrix to write an upscaled equation. Thus, the resulting upscaled equation is of minimal size and the unknowns are average pressures in the fractures and the matrix. Note that the use of non-local upscaled model for porous media flows is not new, e.g., in [14], the authors derive non-local approach. Our main contribution is identifying appropriate local problems together with local spectral modes to represent each continuum. The model problem for fractures assumes that one can identify fracture networks. The resulting non-local equation (restricted to the oversampling region, which is several times larger compared to the target coarse block) has the same form as [14] with much smaller local regions. We present numerical results, which show that the proposed approach can provide good accuracy.-
dc.languageeng-
dc.relation.ispartofJournal of Computational Physics-
dc.subjectMultiscale-
dc.subjectMulti-continuum-
dc.subjectFlow in heterogeneous media-
dc.subjectFracture-
dc.subjectUpscaling-
dc.subjectNon-local-
dc.titleNon-local multi-continua upscaling for flows in heterogeneous fractured media-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jcp.2018.05.038-
dc.identifier.scopuseid_2-s2.0-85048791094-
dc.identifier.volume372-
dc.identifier.spage22-
dc.identifier.epage34-
dc.identifier.eissn1090-2716-
dc.identifier.isiWOS:000443284400002-

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