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Three-phase immiscible displacement in heterogeneous petroleum reservoirs

Author

Listed:
  • Abreu, E.
  • Douglas, J.
  • Furtado, F.
  • Marchesin, D.
  • Pereira, F.

Abstract

We describe a fractional-step numerical procedure for the simulation of immiscible three-phase flow in heterogeneous porous media that takes into account capillary pressure and apply it to indicate the existence of a so-called “transitional” wave in at least some multi-dimensional flows, thereby extending theoretical results for one-dimensional flows. The step procedure combines a second-order, conservative central difference scheme for a pertinent system of conservation laws modeling the convective transport of the fluid phases with locally conservative mixed finite elements for the associated parabolic and elliptic problems.

Suggested Citation

  • Abreu, E. & Douglas, J. & Furtado, F. & Marchesin, D. & Pereira, F., 2006. "Three-phase immiscible displacement in heterogeneous petroleum reservoirs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(1), pages 2-20.
    • Handle: RePEc:eee:matcom:v:73:y:2006:i:1:p:2-20
    DOI: 10.1016/j.matcom.2006.06.018
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    Cited by:

    1. Pereira, F. & Rahunanthan, A., 2011. "A semi-discrete central scheme for the approximation of two-phase flows in three space dimensions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2296-2306.
    2. Mroginski, Javier L. & Di Rado, H.Ariel & Beneyto, Pablo A. & Awruch, Armando M., 2010. "A finite element approach for multiphase fluid flow in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 76-91.
    3. Hashan, Mahamudul & Jahan, Labiba Nusrat & Tareq-Uz-Zaman, & Imtiaz, Syed & Hossain, M. Enamul, 2020. "Modelling of fluid flow through porous media using memory approach: A review," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 643-673.
    4. Correa, Maicon R., 2017. "A semi-discrete central scheme for incompressible multiphase flow in porous media in several space dimensions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 140(C), pages 24-52.

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