The visco us fingering(VF) in a random Sierpinski carpet with bond rad
ii of the truncated Rayleigh distribution has been investigated by mea
ns of successive over-relaxation techniques. A universal formulation o
f fractal dimension for VF in fractal space has been introduced. The t
opology and geometry of the porous media are found to have strong effe
cts on displacement process. The fractal dimension D can be reasonably
regarded as a useful parameter to evaluate the sweep efficiency and o
il recovery.