Fractal Nature of Viscous Fingering in Random Sierpinski Carpet
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
Fractal Nature of Viscous Fingering in Random Sierpinski Carpet
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： The viscous fingering(VF) in a random Sierpinski carpet with bond radii of the truncated Rayleigh distribution has been investigated by means of successive over-relaxation techniques. A universal formulation of fractal dimension for VF in fractal space has been introduced. The topology and geometry of the porous media are found to have strong effects on displacement process. The fractal dimension D can be reasonably regarded as a useful parameter to evaluate the sweep efficiency and oil recovery.
TIAN Ju-ping;YAO Kai-lun;. Fractal Nature of Viscous Fingering in Random Sierpinski Carpet[J]. 中国物理快报, 1998, 15(7): 507-509.
TIAN Ju-ping, YAO Kai-lun,. Fractal Nature of Viscous Fingering in Random Sierpinski Carpet. Chin. Phys. Lett., 1998, 15(7): 507-509.
1998, Vol. 15 
