Correlated invasion percolation

We consider a new model for invasion in which the mechanism is also depende nt on the fluid's filling of neighboring pores. During the invasion process , it is assumed that the resistance of a pore for invasion may be weakened depending on the fluids' configurations of its nearest-neighbor pores. In c ase of nontrapping, the cluster generated by the present correlated invasio n percolation is connected to the critical percolated cluster of the site-b ond-correlated percolation model. A surprising result emerging from our cal culations consist of a double-plateau structure observed in the acceptance profile for the invader cluster. The discussion about the origin of the pro files allows us to relate the occurrence of a second plateau to the strengt h of correlation. (C) 2001 Elsevier Science B.V. All rights reserved.