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Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium

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Abstract

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.

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Authors and Affiliations

  1. Sorbonne Universités, UPMC Univ. Paris 06, CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, 4, place Jussieu, 75005, Paris, France

    Vivette Girault

  2. Realfagbygget, Mathematics Institute, Allegaten 41, University of Bergen, Bergen, Norway

    Kundan Kumar

  3. Center for Subsurface Modeling, The Institute for Computational Engineering Sciences (ICES), The University of Texas at Austin, Austin, TX, USA

    Mary F. Wheeler

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  1. Vivette Girault
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  2. Kundan Kumar
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  3. Mary F. Wheeler
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Correspondence to Kundan Kumar.

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Girault, V., Kumar, K. & Wheeler, M.F. Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Comput Geosci 20, 997–1011 (2016). https://doi.org/10.1007/s10596-016-9573-4

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  • DOI: https://doi.org/10.1007/s10596-016-9573-4

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