Computer Simulation of Radial Viscous Fingering in Two-Dimension Porous Media
TIAN Ju-ping1,2, YAO Kai-lun1,3,4
1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2Department of Basic Science, Jianghan Petroleum Institute, Jingzhou 434102
3CCAST (World Laboratory), P.O.Box 8730, Beijing 100080
4International Center for Material Physics, Chinese Academy of Sciences, Shenyang 110015
Computer Simulation of Radial Viscous Fingering in Two-Dimension Porous Media
TIAN Ju-ping1,2;YAO Kai-lun1,3,4
1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2Department of Basic Science, Jianghan Petroleum Institute, Jingzhou 434102
3CCAST (World Laboratory), P.O.Box 8730, Beijing 100080
4International Center for Material Physics, Chinese Academy of Sciences, Shenyang 110015
Abstract： 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 → ∞ 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.
1998, Vol. 15 
