DYNAMICS OF GROWING INTERFACES IN POROUS-MEDIA WITH VISCOUS FINGERING

We introduce a model of a growing interface within a random porous medium in the framework of solid-on-solid restrictions. The possibility of having viscous fingering effects is included through a height dependent probability for the advance of the interface. The inclusion of viscous fingering effects is regulated by a parameter. The temporal scaling of the interface seems to be unaffected but the spatial scaling varies with the intensity of the fingering. In principle, although the fingering effect could always be present in real interfaces, in porous media its intensity is very difficult to estimate.