Several results of lattice-gas and lattice-Boltzmann simulations of single-
fluid flow in 2D and 3D porous media are discussed. Simulation results for
the tortuosity, effective porosity and permeability of a 2D random porous m
edium are reported. A modified Kozeny-Carman law is suggested, which includ
es the concept of effective porosity. This law is found to fit well the sim
ulated 2D permeabilities. The results for fluid flow through large 3D rando
m fibre webs are also presented. The simulated permeabilities of these webs
are found to be in good agreement with experimental data. The simulations
also confirm that, for this kind of materials, permeability depends exponen
tially on porosity over a large porosity range.