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Conference Paper: Upscaled Model for Mixed Dimensional Coupled Flow Problem in Fractured Porous Media Using Non-local Multicontinuum (NLMC) Method

TitleUpscaled Model for Mixed Dimensional Coupled Flow Problem in Fractured Porous Media Using Non-local Multicontinuum (NLMC) Method
Authors
KeywordsMultiscale method
Fluid flow
Fractured porous media
Non-local multi-continuum method
Upscaling
Coupled system
Issue Date2019
PublisherSpringer.
Citation
7th International Conference on Finite Difference Methods (FDM 2018), Lozenetz, Bulgaria, 11-16 June 2018. In Dimov, I, Faragó, I, Vulkov, L (Eds.), Finite Difference Methods. Theory and Applications: 7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers, p. 604-611. Cham: Springer, 2019 How to Cite?
AbstractIn this paper, we consider a mixed dimensional discrete fracture model with highly conductive fractures. Mathematically the problem is described by a coupled system of equations consisting a d - dimensional equation for flow in porous matrix and a (d-1) - dimensional equation for fracture networks with a specific exchange term for coupling them. For the numerical solution on the fine grid, we construct unstructured mesh that is conforming with fracture surface and use the finite element approximation. Fine grid approximation typically leads to very large systems of equations since it resolves the fracture networks, and therefore some multiscale methods or upscaling methods should be applied. The main contribution of this paper is that we propose a new upscaled model using Non-local multi-continuum (NLMC) method and construct an effective coarse grid approximation. The upscaled model has only one additional coarse degree of freedom (DOF) for each fracture network. We will present results of the numerical simulations using our proposed upscaling method to illustrate its performance.
Persistent Identifierhttp://hdl.handle.net/10722/303611
ISBN
ISSN
2005 Impact Factor: 0.402
2020 SCImago Journal Rankings: 0.249
Series/Report no.Lecture Notes in Computer Science ; 11386
Theoretical Computer Science and General Issues ; 11386

 

DC FieldValueLanguage
dc.contributor.authorVasilyeva, Maria-
dc.contributor.authorChung, Eric T.-
dc.contributor.authorEfendiev, Yalchin-
dc.contributor.authorLeung, Wing Tat-
dc.contributor.authorWang, Yating-
dc.date.accessioned2021-09-15T08:25:40Z-
dc.date.available2021-09-15T08:25:40Z-
dc.date.issued2019-
dc.identifier.citation7th International Conference on Finite Difference Methods (FDM 2018), Lozenetz, Bulgaria, 11-16 June 2018. In Dimov, I, Faragó, I, Vulkov, L (Eds.), Finite Difference Methods. Theory and Applications: 7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers, p. 604-611. Cham: Springer, 2019-
dc.identifier.isbn9783030115388-
dc.identifier.issn0302-9743-
dc.identifier.urihttp://hdl.handle.net/10722/303611-
dc.description.abstractIn this paper, we consider a mixed dimensional discrete fracture model with highly conductive fractures. Mathematically the problem is described by a coupled system of equations consisting a d - dimensional equation for flow in porous matrix and a (d-1) - dimensional equation for fracture networks with a specific exchange term for coupling them. For the numerical solution on the fine grid, we construct unstructured mesh that is conforming with fracture surface and use the finite element approximation. Fine grid approximation typically leads to very large systems of equations since it resolves the fracture networks, and therefore some multiscale methods or upscaling methods should be applied. The main contribution of this paper is that we propose a new upscaled model using Non-local multi-continuum (NLMC) method and construct an effective coarse grid approximation. The upscaled model has only one additional coarse degree of freedom (DOF) for each fracture network. We will present results of the numerical simulations using our proposed upscaling method to illustrate its performance.-
dc.languageeng-
dc.publisherSpringer.-
dc.relation.ispartofFinite Difference Methods. Theory and Applications: 7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers-
dc.relation.ispartofseriesLecture Notes in Computer Science ; 11386-
dc.relation.ispartofseriesTheoretical Computer Science and General Issues ; 11386-
dc.subjectMultiscale method-
dc.subjectFluid flow-
dc.subjectFractured porous media-
dc.subjectNon-local multi-continuum method-
dc.subjectUpscaling-
dc.subjectCoupled system-
dc.titleUpscaled Model for Mixed Dimensional Coupled Flow Problem in Fractured Porous Media Using Non-local Multicontinuum (NLMC) Method-
dc.typeConference_Paper-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/978-3-030-11539-5_71-
dc.identifier.scopuseid_2-s2.0-85066151492-
dc.identifier.spage604-
dc.identifier.epage611-
dc.identifier.eissn1611-3349-
dc.publisher.placeCham-

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