A computer model of capillary and viscous fingering in a porous medium is presented which treats the medium as a square lattice connected with randomly chosen radius. The fractal properties of the model are studied for circular shell-shell aggregation by a Monte Carlo simulation. The simulation results show that the dimension D increases with decrease of the viscous ratio M and increase of the throat radius. It is found that the displacement process is stable when M = 1, and viscous fingering pattern of porous media in the limit M --> infinity is similar to the diffusion-limited aggregation pattern in a uniform system. For larger viscous ratio M and smaller positive integer k, the fluid is situated in the co-existence region of viscous and capillary fingering.
部门归属
huazhong univ sci & technol, dept phys, wuhan 430074, peoples r china. jianghan petr inst, dept basic sci, jingzhou 434102, peoples r china. ccast, world lab, beijing 100080, peoples r china. chinese acad sci, int ctr mat phys, shenyang 110015, peoples r china.;tian, jp (reprint author), huazhong univ sci & technol, dept phys, wuhan 430074, peoples r china
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