Fractal Nature of Viscous Fingering in Random Sierpinski Carpet

The viscous fingering(VF) in a random Sierpinski carpet with bond radii of the truncated Rayleigh distribution has been investigated by means of successive over-relaxation techniques. A universal formulation of fractal dimension for VF in fractal space has been introduced. The topology and geometry of the porous media are found to have strong effects on displacement process. The fractal dimension D can be reasonably regarded as a useful parameter to evaluate the sweep efficiency and oil recovery.