INVASION PERCOLATION QUANTITIES ON CORRELATED NETWORKS

Invasion percolation is studied on correlated square networks describe d through a site-bond model which has proven to be useful for the char acterization of real heterogeneous media. It is shown how the correlat ion degree affects the mean front velocity, the number of islands of t rapped defender fluid (which are completely surrounded by invaded elem ents), their size distribution and total number of steps to reach the final state. The correlation degree seems to affect the fractal dimens ion of the percolating cluster. A characteristic correlation length is found to exist which maximizes the mean invasion velocity.