Numerical study of compositional compressible degenerate two-phase flow in saturated–unsaturated heterogeneous porous media

Handle URI:
http://hdl.handle.net/10754/621500
Title:
Numerical study of compositional compressible degenerate two-phase flow in saturated–unsaturated heterogeneous porous media
Authors:
Saad, Ali S.; Saad, Bilal Mohammed ( 0000-0002-9509-7604 ) ; Saad, Mazen
Abstract:
We study the convergence of a combined finite volume-nonconforming finite element scheme on general meshes for a partially miscible two-phase flow model in anisotropic porous media. This model includes capillary effects and exchange between the phases. The diffusion term, which can be anisotropic and heterogeneous, is discretized by piecewise linear nonconforming triangular finite elements. The other terms are discretized by means of a cell-centered finite volume scheme on a dual mesh. The relative permeability of each phase is decentered according to the sign of the velocity at the dual interface. The convergence of the scheme is proved thanks to an estimate on the two pressures which allows to show estimates on the discrete time and compactness results in the case of degenerate relative permeabilities. A key point in the scheme is to use particular averaging formula for the dissolution function arising in the diffusion term. We show also a simulation of hydrogen production in nuclear waste management. Numerical results are obtained by in-house numerical code. © 2015 Elsevier Ltd.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Saad AS, Saad B, Saad M (2016) Numerical study of compositional compressible degenerate two-phase flow in saturated–unsaturated heterogeneous porous media. Computers & Mathematics with Applications 71: 565–584. Available: http://dx.doi.org/10.1016/j.camwa.2015.12.010.
Publisher:
Elsevier BV
Journal:
Computers & Mathematics with Applications
Issue Date:
2-Jan-2016
DOI:
10.1016/j.camwa.2015.12.010
Type:
Article
ISSN:
0898-1221
Sponsors:
The authors extend their appreciation to the College of Applied Medical Sciences Research Centre and the Deanship of Scientific Research at King Saud University for its funding for this research.
Additional Links:
http://api.elsevier.com/content/search/scidir?query=pii%28S0898122115005787%29&view=STANDARD
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSaad, Ali S.en
dc.contributor.authorSaad, Bilal Mohammeden
dc.contributor.authorSaad, Mazenen
dc.date.accessioned2016-11-03T08:30:52Z-
dc.date.available2016-11-03T08:30:52Z-
dc.date.issued2016-01-02en
dc.identifier.citationSaad AS, Saad B, Saad M (2016) Numerical study of compositional compressible degenerate two-phase flow in saturated–unsaturated heterogeneous porous media. Computers & Mathematics with Applications 71: 565–584. Available: http://dx.doi.org/10.1016/j.camwa.2015.12.010.en
dc.identifier.issn0898-1221en
dc.identifier.doi10.1016/j.camwa.2015.12.010en
dc.identifier.urihttp://hdl.handle.net/10754/621500-
dc.description.abstractWe study the convergence of a combined finite volume-nonconforming finite element scheme on general meshes for a partially miscible two-phase flow model in anisotropic porous media. This model includes capillary effects and exchange between the phases. The diffusion term, which can be anisotropic and heterogeneous, is discretized by piecewise linear nonconforming triangular finite elements. The other terms are discretized by means of a cell-centered finite volume scheme on a dual mesh. The relative permeability of each phase is decentered according to the sign of the velocity at the dual interface. The convergence of the scheme is proved thanks to an estimate on the two pressures which allows to show estimates on the discrete time and compactness results in the case of degenerate relative permeabilities. A key point in the scheme is to use particular averaging formula for the dissolution function arising in the diffusion term. We show also a simulation of hydrogen production in nuclear waste management. Numerical results are obtained by in-house numerical code. © 2015 Elsevier Ltd.en
dc.description.sponsorshipThe authors extend their appreciation to the College of Applied Medical Sciences Research Centre and the Deanship of Scientific Research at King Saud University for its funding for this research.en
dc.publisherElsevier BVen
dc.relation.urlhttp://api.elsevier.com/content/search/scidir?query=pii%28S0898122115005787%29&view=STANDARDen
dc.subjectDegenerate problemen
dc.subjectFinite element schemeen
dc.subjectFinite volume schemeen
dc.subjectPartially miscible flowen
dc.subjectPorous mediaen
dc.titleNumerical study of compositional compressible degenerate two-phase flow in saturated–unsaturated heterogeneous porous mediaen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalComputers & Mathematics with Applicationsen
dc.contributor.institutionDepartment of Biomedical Technology, College of Applied Medical Sciences, King Saud University, P.O.Box 10219, Riyadh, Saudi Arabiaen
dc.contributor.institutionEcole Centrale de Nantes, Laboratoire de Mathématiques Jean Leray, 1, rue de la Noé BP 92101, Nantes, Franceen
kaust.authorSaad, Bilal Mohammeden
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