Computational Geosciences

, Volume 18, Issue 5, pp 613–624

Modeling fluid injection in fractures with a reservoir simulator coupled to a boundary element method

  • Benjamin Ganis
  • Mark E. Mear
  • A. Sakhaee-Pour
  • Mary F. Wheeler
  • Thomas Wick
ORIGINAL PAPER

DOI: 10.1007/s10596-013-9396-5

Cite this article as:
Ganis, B., Mear, M.E., Sakhaee-Pour, A. et al. Comput Geosci (2014) 18: 613. doi:10.1007/s10596-013-9396-5

Abstract

We describe an algorithm for modeling saturated fractures in a poroelastic domain in which the reservoir simulator is coupled with a boundary element method. A fixed stress splitting is used on the underlying fractured Biot system to iteratively couple fluid and solid mechanics systems. The fluid system consists of Darcy’s law in the reservoir and is computed with a multipoint flux mixed finite element method, and a Reynolds’ lubrication equation in the fracture solved with a mimetic finite difference method. The mechanics system consists of linear elasticity in the reservoir and is computed with a continuous Galerkin method, and linear elasticity in the fracture is solved with a weakly singular symmetric Galerkin boundary element method. This algorithm is able to compute both unknown fracture width and unknown fluid leakage rate. An interesting numerical example is presented with an injection well inside of a circular fracture.

Keywords

Saturated fracture Poroelasticity Multipoint flux mixed finite element Mimetic finite difference Galerkin finite element Boundary element 

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Benjamin Ganis
    • 1
  • Mark E. Mear
    • 1
  • A. Sakhaee-Pour
    • 1
  • Mary F. Wheeler
    • 1
  • Thomas Wick
    • 1
  1. 1.Center for Subsurface Modeling, Institute for Computational Engineering and SciencesThe University of Texas at AustinAustinUSA

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