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A semi-discrete central scheme for the approximation of two-phase flows in three space dimensions

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  • Pereira, F.
  • Rahunanthan, A.

Abstract

We present a new second-order (in space), semi-discrete, central scheme for the approximation of hyperbolic conservation laws in three space dimensions. The proposed scheme is applied to a model for two-phase, immiscible and incompressible displacement in heterogeneous porous media. Numerical simulations are presented to demonstrate its ability to approximate solutions of hyperbolic equations efficiently and accurately in petroleum reservoir simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:10:p:2296-2306
    DOI: 10.1016/j.matcom.2011.01.012
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Ginting, V. & Pereira, F. & Rahunanthan, A., 2015. "Multi-physics Markov chain Monte Carlo methods for subsurface flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 118(C), pages 224-238.
    2. Francisco, A. & Ginting, V. & Pereira, F. & Rigelo, J., 2014. "Design and implementation of a multiscale mixed method based on a nonoverlapping domain decomposition procedure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 99(C), pages 125-138.
    3. Ginting, V. & Pereira, F. & Rahunanthan, A., 2014. "Rapid quantification of uncertainty in permeability and porosity of oil reservoirs for enabling predictive simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 99(C), pages 139-152.
    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.
    5. Al-Mamun, A. & Barber, J. & Ginting, V. & Pereira, F. & Rahunanthan, A., 2020. "Contaminant transport forecasting in the subsurface using a Bayesian framework," Applied Mathematics and Computation, Elsevier, vol. 387(C).

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