Upscaling of Transport Equations for Multiphase and Multicomponent Flows

  • Richard Ewing
  • Yalchin Efendiev
  • Victor Ginting
  • Hong Wang
Conference paper

DOI: 10.1007/978-3-540-75199-1_20

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 60)
Cite this paper as:
Ewing R., Efendiev Y., Ginting V., Wang H. (2008) Upscaling of Transport Equations for Multiphase and Multicomponent Flows. In: Langer U., Discacciati M., Keyes D.E., Widlund O.B., Zulehner W. (eds) Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, vol 60. Springer, Berlin, Heidelberg

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Richard Ewing
    • 1
  • Yalchin Efendiev
    • 1
  • Victor Ginting
    • 2
  • Hong Wang
    • 3
  1. 1.Department of Mathematics and Institute for Scientific ComputationTexas A & M UniversityUSA
  2. 2.Department of MathematicsColorado State UniversityUSA
  3. 3.Department of MathematicsUniversity of South CarolinaColumbiaUSA

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