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Numerical Modeling of Multiphase Flow in Porous Media

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Advances in Transport Phenomena in Porous Media

Part of the book series: NATO ASI Series ((NSSE,volume 128))

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Abstract

The simultaneous flow of immiscible fluids in porous media occurs in a wide variety of applications. The equations governing these flows are inherently nonlinear, and the geometries and material properties characterizing many problems in petroleum and groundwater engineering can be quite irregular. As a result, numerical simulation offers the only viable approach to the mathematical modeling of multiphase flows. This chapter provides an overview of the types of models that are used in this field and highlights some of the numerical techniques that have appeared recently. The exposition includes discusssions of multiphase, multispecies flows in which chemical transport and interphase mass transfers play important roles. This chapter also examines some of the outstanding physical and mathematical problems in multiphase flow simulation. The scope of the chapter is limited to isothermal flows in natural porous media; however, many of the special techniques and difficulties discussed also arise in artificial porous media and multiphase flows with thermal effects.

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  1. Department of Mathematics, University of Wyoming, Laramie, Wyoming, 82071, USA

    Myron B. Allen III

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  1. Department of Civil Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, 32000, Israel

    Jacob Bear

  2. Department of Civil Engineering, City College of New York, New York, NY, 10031, USA

    M. Yavuz Corapcioglu

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Allen, M.B. (1987). Numerical Modeling of Multiphase Flow in Porous Media. In: Bear, J., Corapcioglu, M.Y. (eds) Advances in Transport Phenomena in Porous Media. NATO ASI Series, vol 128. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3625-6_19

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