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Numerical Simulation of Three-Phase Flow in Heterogeneous Porous Media

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High Performance Computing for Computational Science - VECPAR 2006 (VECPAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4395))

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Abstract

We describe an efficient numerical simulator, based on an operator splitting technique, for three-phase flow in heterogeneous porous media that takes into account capillary forces, general relations for the relative permeability functions and variable porosity and permeability fields. Our numerical procedure combines a non-oscillatory, second order, conservative central difference scheme for the system of hyperbolic conservation laws modeling the convective transport of the fluid phases with locally conservative mixed finite elements for the approximation of the parabolic and elliptic problems associated with the diffusive transport of fluid phases and the pressure-velocity calculation. This numerical procedure has been used to investigate the existence and stability of non-classical waves (also called transitional or undercompressive waves) in heterogeneous two-dimensional flows, thereby extending previous results for one-dimensional problems.

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Authors and Affiliations

  1. Universidade do Estado do Rio de Janeiro, Nova Friburgo, RJ 25630-050, Brazil

    Eduardo Abreu & Felipe Pereira

  2. University of Wyoming, Laramie 82071-3036, USA

    Frederico Furtado

Authors
  1. Eduardo Abreu
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  2. Frederico Furtado
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  3. Felipe Pereira
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Editor information

Michel Daydé José M. L. M. Palma Álvaro L. G. A. Coutinho Esther Pacitti João Correia Lopes

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Abreu, E., Furtado, F., Pereira, F. (2007). Numerical Simulation of Three-Phase Flow in Heterogeneous Porous Media. In: Daydé, M., Palma, J.M.L.M., Coutinho, Á.L.G.A., Pacitti, E., Lopes, J.C. (eds) High Performance Computing for Computational Science - VECPAR 2006. VECPAR 2006. Lecture Notes in Computer Science, vol 4395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71351-7_39

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  • DOI: https://doi.org/10.1007/978-3-540-71351-7_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71350-0

  • Online ISBN: 978-3-540-71351-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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