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    A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces

    Access Status
    Fulltext not available
    Authors
    Deng, Quanling
    Ginting, V.
    McCaskill, B.
    Torsu, P.
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Deng, Q. and Ginting, V. and McCaskill, B. and Torsu, P. 2017. A locally conservative stabilized continuous Galerkin finite element method for two-phase flow in poroelastic subsurfaces. Journal of Computational Physics. 347: pp. 78-98.
    Source Title
    Journal of Computational Physics
    DOI
    10.1016/j.jcp.2017.06.024
    ISSN
    0021-9991
    School
    School of Earth and Planetary Sciences (EPS)
    URI
    http://hdl.handle.net/20.500.11937/65438
    Collection
    • Curtin Research Publications
    Abstract

    © 2017 Elsevier Inc. We study the application of a stabilized continuous Galerkin finite element method (CGFEM) in the simulation of multiphase flow in poroelastic subsurfaces. The system involves a nonlinear coupling between the fluid pressure, subsurface's deformation, and the fluid phase saturation, and as such, we represent this coupling through an iterative procedure. Spatial discretization of the poroelastic system employs the standard linear finite element in combination with a numerical diffusion term to maintain stability of the algebraic system. Furthermore, direct calculation of the normal velocities from pressure and deformation does not entail a locally conservative field. To alleviate this drawback, we propose an element based post-processing technique through which local conservation can be established. The performance of the method is validated through several examples illustrating the convergence of the method, the effectivity of the stabilization term, and the ability to achieve locally conservative normal velocities. Finally, the efficacy of the method is demonstrated through simulations of realistic multiphase flow in poroelastic subsurfaces.

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