THE IMMISCIBLE DISPLACEMENT IN PERCOLATION CLUSTER

The percolation clusters with varying occupy probability were construc ted in this paper. Viscous fingering (VF) in percolation cluster, base d on the assumption that bond radii are Rayleigh distribution, is inve stigated by means of successive over-relaxation technique. The fractal dimension for VF in percolation cluster is calculated. The result sho ws that it can increase fractal dimension of VF as increase of percola tion probability of reduce of viscous ratio. VF's fractal dimension of porous media in the limit viscous ratio --> infinity is found to be i dentical with that in diffusion limited-aggregation. We have found tha t the topology and the geometry of the porous medium have strong effec ts on the displacement processes and the structure of the VF. We find that the sweep efficiency of the displacement processes mainly depends upon the length of the network system and also on the viscosity ratio . Moreover, the fractional flow of injected fluid as a function of mea n saturation is obtained.