FRACTAL NATURE OF CAPILLARY AND VISCOUS FINGERING IN 2-DIMENSIONAL POROUS-MEDIA

A computer model of capillary and viscous fingering in a porous media is presented, which treats the media as a square lattice connected wit h randomly chosen radius. The fractal properties of the model are stud ied for shell-shell aggregation method by Monte Carlo simulation. The simulation results show that the dimension D increases along with incr easing of M and decreasing of mu, where M and mu are the ratios of the viscosity of the two fluids and the most probable radius of the throa t in porous media respectively. It is found that there exist foul regi ons for fluid.