Multiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured media

Handle URI:
http://hdl.handle.net/10754/334617
Title:
Multiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured media
Authors:
Sun, S.; Kou, J.; Yu, B.
Abstract:
The temporal discretization scheme is one important ingredient of efficient simulator for two-phase flow in the fractured porous media. The application of single-scale temporal scheme is restricted by the rapid changes of the pressure and saturation in the fractured system with capillarity. In this paper, we propose a multi-scale time splitting strategy to simulate multi-scale multi-physics processes of two-phase flow in fractured porous media. We use the multi-scale time schemes for both the pressure and saturation equations; that is, a large time-step size is employed for the matrix domain, along with a small time-step size being applied in the fractures. The total time interval is partitioned into four temporal levels: the first level is used for the pressure in the entire domain, the second level matching rapid changes of the pressure in the fractures, the third level treating the response gap between the pressure and the saturation, and the fourth level applied for the saturation in the fractures. This method can reduce the computational cost arisen from the implicit solution of the pressure equation. Numerical examples are provided to demonstrate the efficiency of the proposed method.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division
Citation:
Kou J, Sun S, Yu B (2011) Multiscale Time-Splitting Strategy for Multiscale Multiphysics Processes of Two-Phase Flow in Fractured Media. Journal of Applied Mathematics 2011: 1-24. doi:10.1155/2011/861905.
Publisher:
Hindawi Publishing Corporation
Journal:
Journal of Applied Mathematics
Issue Date:
2011
DOI:
10.1155/2011/861905
Type:
Article
ISSN:
1110757X
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorSun, S.en
dc.contributor.authorKou, J.en
dc.contributor.authorYu, B.en
dc.date.accessioned2014-11-11T14:32:14Z-
dc.date.available2014-11-11T14:32:14Z-
dc.date.issued2011en
dc.identifier.citationKou J, Sun S, Yu B (2011) Multiscale Time-Splitting Strategy for Multiscale Multiphysics Processes of Two-Phase Flow in Fractured Media. Journal of Applied Mathematics 2011: 1-24. doi:10.1155/2011/861905.en
dc.identifier.issn1110757Xen
dc.identifier.doi10.1155/2011/861905en
dc.identifier.urihttp://hdl.handle.net/10754/334617en
dc.description.abstractThe temporal discretization scheme is one important ingredient of efficient simulator for two-phase flow in the fractured porous media. The application of single-scale temporal scheme is restricted by the rapid changes of the pressure and saturation in the fractured system with capillarity. In this paper, we propose a multi-scale time splitting strategy to simulate multi-scale multi-physics processes of two-phase flow in fractured porous media. We use the multi-scale time schemes for both the pressure and saturation equations; that is, a large time-step size is employed for the matrix domain, along with a small time-step size being applied in the fractures. The total time interval is partitioned into four temporal levels: the first level is used for the pressure in the entire domain, the second level matching rapid changes of the pressure in the fractures, the third level treating the response gap between the pressure and the saturation, and the fourth level applied for the saturation in the fractures. This method can reduce the computational cost arisen from the implicit solution of the pressure equation. Numerical examples are provided to demonstrate the efficiency of the proposed method.en
dc.language.isoenen
dc.publisherHindawi Publishing Corporationen
dc.rightsThis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rightsArchived with thanks to Journal of Applied Mathematicsen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.titleMultiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured mediaen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of Applied Mathematicsen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionBeijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing 102249, Chinaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorSun, Shuyuen
kaust.authorKou, Jishengen
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