DYNAMICS OF GROWING INTERFACES IN POROUS-MEDIA WITH VISCOUS FINGERING

We introduce a model of a growing interface within a random porous med ium in the framework of solid-on-solid restrictions. The possibility o f having viscous fingering effects is included through a height depend ent probability for the advance of the interface. The inclusion of vis cous fingering effects is regulated by a parameter. The temporal scali ng of the interface seems to be unaffected but the spatial scaling var ies with the intensity of the fingering. In principle, although the fi ngering effect could always be present in real interfaces, in porous m edia its intensity is very difficult to estimate.