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Multiscale simulations of porous media flows in flow-based coordinate system

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Abstract

In this paper, we propose a multiscale technique for the simulation of porous media flows in a flow-based coordinate system. A flow-based coordinate system allows us to simplify the scale interaction and derive the upscaled equations for purely hyperbolic transport equations. We discuss the applications of the method to two-phase flows in heterogeneous porous media. For two-phase flow simulations, the use of a flow-based coordinate system requires limited global information, such as the solution of single-phase flow. Numerical results show that one can achieve accurate upscaling results using a flow-based coordinate system.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843-3368, USA

    Y. Efendiev

  2. Applied Mathematics, Caltech, Pasadena, CA, 91125, USA

    T. Hou & T. Strinopoulos

Authors
  1. Y. Efendiev
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  2. T. Hou
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  3. T. Strinopoulos
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Correspondence to Y. Efendiev.

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Efendiev, Y., Hou, T. & Strinopoulos, T. Multiscale simulations of porous media flows in flow-based coordinate system. Comput Geosci 12, 257–272 (2008). https://doi.org/10.1007/s10596-007-9073-7

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  • DOI: https://doi.org/10.1007/s10596-007-9073-7

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