Chapter

Domain Decomposition Methods in Science and Engineering XVII

Volume 60 of the series Lecture Notes in Computational Science and Engineering pp 193-200

Upscaling of Transport Equations for Multiphase and Multicomponent Flows

  • Richard EwingAffiliated withDepartment of Mathematics and Institute for Scientific Computation, Texas A & M University
  • , Yalchin EfendievAffiliated withDepartment of Mathematics and Institute for Scientific Computation, Texas A & M University
  • , Victor GintingAffiliated withDepartment of Mathematics, Colorado State University
  • , Hong WangAffiliated withDepartment of Mathematics, University of South Carolina

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In this paper we discuss upscaling of immiscible multiphase and miscible multicomponent flow and transport in heterogeneous porous media. The discussion presented in the paper summarizes the results of in Upscaled Modeling in Multiphase Flow Applications by Ginting et al. (2004) and in Upscaling of Multiphase and Multicomponent Flow by Ginting et al. (2006). Perturbation approaches are used to upscale the transport equation that has hyperbolic nature. Our numerical results show that these upscaling techniques give an improvement over the existing upscaled models which ignore the subgrid terms.