A simulated annealing algorithm is employed to generate a stochastic model
for a Berea sandstone and a Fontainebleau sandstone, with each a prescribed
two-point probability function, lineal-path function, and "pore size'' dis
tribution function, respectively. We find that the temperature decrease of
the annealing has to be rather quick to yield isotropic and percolating con
figurations. A comparison of simple morphological quantities indicates good
agreement between the reconstructions and the original sandstones. Also, t
he mean survival time of a random walker in the pore space is reproduced wi
th good accuracy. However, a more detailed investigation by means of local
porosity theory shows that there may be significant differences of the geom
etrical connectivity between the reconstructed and the experimental samples
.