simultaneous capillary dominated displacement of the wetting and non-wetting phases are processes of interest in many disciplines including modeling of the penetration of polluting liquids in hydrology or the secondary migration in petroleum reservoir engineering. percolation models and in particular invasion percolation is well suited to characterize the slow immiscible displacement of two flu...

Simultaneous capillary dominated displacement of the wetting and non-wetting phases are processes of interest in many disciplines including modeling of the penetration of polluting liquids in hydrology or the secondary migration in petroleum reservoir engineering. Percolation models and in particular invasion percolation is well suited to characterize the slow immiscible displaceme...

A new model for cluster growth is introduced. The model is built with a long time memory which is similar to the one found in cluster growth in disordered media. The model, as a function of its parameter, interpolates between Eden growth, Invasion Percolation-like growth and has a behavior similar to self avoiding walks in another limit.

[1] Slender transport pathways have been found in laboratory and field experiments within unsaturated fractured rock. Here we consider the simulation of such structures with a Modified form of Invasion Percolation (MIP). Results show that slender pathways form in fracture networks for a wide range of expected conditions, can be maintained when subsequent matrix imbibition is imposed, and may ar...

We study roughening interfaces with a constant slope that become self organized critical by a rule that is similar to that of invasion percolation. The transient and critical dynamical exponents show Galilean invariance. The activity along the interface exhibits nontrivial power law correlations in both space and time. The probability distribution of the activity pattern follows an algebraic re...

We present a simple procedure using invasion percolation for estimating the critical temperatures of the +J nearest neighbor spin glass in two, three and four dimensions. The

We give numerical estimates for the site percolation trapping thresholds for invasion percolation on various three dimensional lattices. We find that in most cases the thresholds for invasion and ordinary percolation coincide. However, for coordination numbers less than five the thresholds diverge. Since most rock networks exhibit coordination numbers less than five the rules for simulating res...