Universal Scaling of Fluid Permeability for Sphere Packings.
Universal Scaling of Fluid Permeability for Sphere
Martys, N. S.; Torquato, S.; Bentz, D. P.
Physical Review E, Vol. 50, No. 1, 403-402, July 1994.
permeability; scaling; simulation; fluid flow; porous
Results from the numerical simulation of Stokes flow
through random packings of nonoverlapping or overlapping
spheres and a scaling ansatz are used to obtain
universal curves for the fluid permeability. The
scaling ansatz is motivated by previous analysis of
rigorous bounds on the permeability. Excellent
agreement was found for a variety of model
microstructures of porous media in the low and high
porosity regimes. Experimentally obtained
permeabilities of several sandstones were found to agree
well with our universal curve.