Computational Geosciences

, Volume 20, Issue 3, pp 421–435 | Cite as

Compositional flow modeling using a multi-point flux mixed finite element method



We present a general compositional formulation using multi-point flux mixed finite element (MFMFE) method on general hexahedral grids. The mixed finite element framework allows for local mass conservation, accurate flux approximation, and a more general treatment of boundary conditions. The multi-point flux inherent in MFMFE scheme allows the usage of a full permeability tensor. The proposed formulation is an extension of single and two-phase flow formulations presented by Wheeler and Yotov, SIAM J. Numer. Anal. 44(5), 2082–2106 (35) with similar convergence properties. Furthermore, the formulation allows for black oil, single-phase and multi-phase incompressible, slightly and fully compressible flow models utilizing the same design for different fluid systems. An accurate treatment of diffusive/dispersive fluxes owing to additional velocity degrees of freedom is also presented. The applications areas of interest include gas flooding, CO 2 sequestration, contaminant removal, and groundwater remediation.


Compositional flow Multipoint flux mixed finite element method General hexahedral grids CO 2 enhanced oil recovery 


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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Center for Subsurface Modeling, Institute for Computational Engineering and Sciences, POB 5.324The University of Texas at AustinAustinUSA

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