In this paper, the self-affine Sierpinski carpet is constructed. The viscous fingering (VF) in self-affine Sierpinski carpet, based on the assumption that bond radii are truncated Rayleigh distribution, is simulated by means of successive over-relaxation techniques. The fractal dimension of VF is calculated. The results show that the VF pattern of self-affine Sierpinski carpet in the limit viscosity ratio M→∞ is found to be similar to the DLA pattern. When M=1, the interior of the cluster of the displacing fluid is compact and the displacement process is stable for long length scales.
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