Computational Geosciences

, Volume 20, Issue 5, pp 997–1011 | Cite as

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

  • Vivette Girault
  • Kundan Kumar
  • Mary F. Wheeler
Original Paper


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.


Fractured porous media flow Iterative coupling Biot model Fixed stress splitting 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Vivette Girault
    • 1
  • Kundan Kumar
    • 2
  • Mary F. Wheeler
    • 3
  1. 1.Sorbonne Universités, UPMC Univ. Paris 06CNRS, UMR 7598, Laboratoire Jacques-Louis LionsParisFrance
  2. 2.Realfagbygget, Mathematics Institute, Allegaten 41University of BergenBergenNorway
  3. 3.Center for Subsurface Modeling, The Institute for Computational Engineering Sciences (ICES)The University of Texas at AustinAustinUSA

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