Effective Buckley-Leverett Equations by Homogenization

  • C. J. van Duijn
  • I. S. Pop
  • A. Mikelic
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)


In this paper we consider water-drive to recover oil from a strongly heterogeneous porous column The two-phase model uses Corey relative permeabilities and Brooks-Corey capillary pressure. The heterogeneities are perpendicular to flow and have a periodic structure. This results in one-dimensional flow and a space periodic absolute permeability, reflecting alternating coarse and fine layers. Assuming many — or thin — layers, we use homogenization techniques to derive the effective transport equations. The form of these equations depend critically on the capillary number. The analysis is confirmed by numerical experiments. This paper summarises the results obtained in [10]


Porous Medium Capillary Pressure Relative Permeability Capillary Number Auxiliary Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • C. J. van Duijn
    • 1
  • I. S. Pop
    • 1
  • A. Mikelic
    • 2
  1. 1.Department of Mathematics and Computing ScienceEindhoven University of TechnologyEindhovenThe Netherlands
  2. 2.Laboratoire d’Analyse NumériqueUniversité Lyon 1Villeurbanne CedexFrance

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