Probability approach to multiphase and multicomponent fluid flow in porous media

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Abstract
A novel probability approach is utilized to solve the coupled nonlinear partial differential equations describing multiphase and multicomponent fluid flow in a porous medium. The approach generalizes diffusion-limited aggregation (DLA) to finite two-fluid mobility ratios and to more complete descriptions of physical systems. The limits of validity of the usual DLA method are determined. Two-dimensional saturation and concentration profiles are determined as a function of the mobility ratio. Solutions are obtained for the full range of flow regimes (stable to highly unstable).