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Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium
Univ Paris 06, Sorbonne Univ, CNRS, UMR 7598,Lab Jacques Louis Lions, 4 Pl Jussieu, F-75005 Paris, France..
Univ Bergen, Math Inst, Realfagbygget, Allegaten 41, Bergen, Norway..
Univ Texas Austin, ICES, Ctr Subsurface Modeling, Austin, TX 78712 USA..
2016 (English)In: Computational Geosciences, ISSN 1420-0597, E-ISSN 1573-1499, Vol. 20, no 5, p. 997-1011Article in journal (Refereed) Published
Abstract [en]

We consider an iterative scheme for solving a coupled geomechanics and flow problem in a fractured poroelastic medium. The fractures are treated as possibly non-planar interfaces. Our iterative scheme is an adaptation due to the presence of fractures of a classical fixed stress-splitting scheme. We prove that the iterative scheme is a contraction in an appropriate norm. Moreover, the solution converges to the unique weak solution of the coupled problem.

Place, publisher, year, edition, pages
Dordrecht, Netherlands, 2016. Vol. 20, no 5, p. 997-1011
Keywords [en]
Fractured porous media flow, Iterative coupling, Biot model, Fixed stress splitting
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-69255DOI: 10.1007/s10596-016-9573-4ISI: 000382680700006OAI: oai:DiVA.org:kau-69255DiVA, id: diva2:1254272
Available from: 2018-10-08 Created: 2018-10-08 Last updated: 2018-10-18Bibliographically approved

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Kumar, Kundan

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