### 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 language | English |
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Pages (from-to) | 3467-3476 |

Number of pages | 10 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 47 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1993 |