An analytical method for the generation of model porous structures (la
ttice structures) exhibiting a given nonuniform void fraction distribu
tion and a given two-point (pore-pore) correlation function is present
ed, The method proposed for the generation of correlated and nonhomoge
neous porous models is based on the application of a nonlinear filter
to a stochastic correlated process. This process originates from the l
inear superposition of a suitable set of stochastic processes possessi
ng Gaussian decay in the second-order correlation function.