Generalization of the Poiseuille law for one- and two-phase flow in a random capillary network

C. O'Carroll, K. S. Sorbie

    Research output: Contribution to journalArticle

    Abstract

    Study of single-phase fluid flow in a three-dimensional (3D) random capillary network on a regular cubic lattice has established a simple generalization of the Poiseuille law for the total flow. Results are discussed in the light of effective-medium theory and percolation theory. Detailed examination of the behavior of such networks near percolation threshold leads to an extended model which is appropriate for phase conductivities in two-phase flow. The simple expression for conductivity when combined with pore phase occupancy distributions from a rule-based percolation approach can be used to calculate relative permeabilities in 3D networks. © 1993 The American Physical Society.

    Original languageEnglish
    Pages (from-to)3467-3476
    Number of pages10
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume47
    Issue number5
    DOIs
    Publication statusPublished - 1993

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