Lower bounds on permeability
- 1 October 1987
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 30 (10) , 2919-2921
- https://doi.org/10.1063/1.866068
Abstract
A method is presented for obtaining lower bounds on the permeability of a porous medium. It is applied to media composed of periodic and random configurations of spheres and cylinders.Keywords
This publication has 11 references indexed in Scilit:
- Bounds on the permeability of a random array of partially penetrable spheresPhysics of Fluids, 1987
- Microstructure characterization and bulk properties of disordered two-phase mediaJournal of Statistical Physics, 1986
- Normalization constraint for variational bounds on fluid permeabilityThe Journal of Chemical Physics, 1985
- Bounds on fluid permeability for viscous flow through porous mediaThe Journal of Chemical Physics, 1985
- Computing variational bounds for flow through random aggregates of spheresJournal of Computational Physics, 1983
- Stokes flow through periodic arrays of spheresJournal of Fluid Mechanics, 1982
- A New Variational Approach to the Diffusion and the Flow Problem in Porous MediaJournal of the Physics Society Japan, 1976
- Extremum principles for slow viscous flows with applications to suspensionsJournal of Fluid Mechanics, 1967
- Viscous Flow through Porous MediaPhysics of Fluids, 1961
- On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheresJournal of Fluid Mechanics, 1959