Pattern Structure and Properties of Invasion Percolation in Porous Media
TIAN Ju-Ping1,2, YAO Kai-Lun3,4
1Department of Physics, Wuhan Institute of Science and Technology, Wuhan 430073
2Research Center of Non-linear Science, Wuhan Institute of Science and Technology, Wuhan 430073
3Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
4CCAST (World Laboratory), PO Box 8730, Beijing 100080
Pattern Structure and Properties of Invasion Percolation in Porous Media
TIAN Ju-Ping1,2;YAO Kai-Lun3,4
1Department of Physics, Wuhan Institute of Science and Technology, Wuhan 430073
2Research Center of Non-linear Science, Wuhan Institute of Science and Technology, Wuhan 430073
3Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
4CCAST (World Laboratory), PO Box 8730, Beijing 100080
Abstract： The percolation clusters with varying occupy probability are constructed. Invasion percolation (IP) in percolation cluster is investigated by means of IP algorithm without trapping. The pattern constructions of IP in percolation clusters are obviously different from that of viscous fingering (VF) in percolation clusters. The fractal dimension Df of IP increases with the increase of the percolation probability P. The geometry and the topology of the porous media have strong effects on the pattern structure of IP. For large M (the node numbers occupied by the injected fluid), the rescaled value is Rg/M1/Df, which asymptotically approaches a constant value, and Rg is the gyration radius of IP cluster. Moreover, the chemical dimension Dl and the shortest path exponent dmin are obtained.
2003, Vol. 20 
