A New Numerical Method for Two Phase Flow in Heterogeneous Porous Media

Abstract:

For the internodal absolute permeabilities of flow in heterogeneous porous media, the most popular method is harmonic means, but it has been known that the harmonic mean method underestimate the flux of the single phase steady flow, especially for the strong heterogeneities. Based on the power-law behaviour of pressure, a finite analytic numerical method is proposed for two phase incompressible flow in 2D heterogeneous porous media. Numerical example shows that the finite can obtain more accurate value than traditional numerical methods such as the harmonic average method and so on, for different permeability distributions, only with or subdivisions can provide rather accurate solutions while traditional numerical methods need very small scale grids.

• Periodical: Applied Mechanics and Materials (Volumes 668-669)
• Pages: 119-123
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.668-669.119
• Online since: October 2014
• Authors: Xiao Lei Zheng*
• Keywords: Finite Analytical Numerical Scheme, Heterogeneous Porous Media, Paw-Law Behaviour, Reservoir Simulation, Two-Phase Flow

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