Viscous Fingering in Correlated Site-Bond Square Lattice
TIAN Ju-Ping1, YAO Kai-Lun2,3,4
1Department of Physics, Wuhan Institute of Science and Technology, Wuhan 430073
2Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
3CCAST (World Laboratory), P.O.Box 8730, Beijing 100080
4International Center for Material Physics, Chinese Academy of Science, Shenyang 110015
Viscous Fingering in Correlated Site-Bond Square Lattice
TIAN Ju-Ping1;YAO Kai-Lun2,3,4
1Department of Physics, Wuhan Institute of Science and Technology, Wuhan 430073
2Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
3CCAST (World Laboratory), P.O.Box 8730, Beijing 100080
4International Center for Material Physics, Chinese Academy of Science, Shenyang 110015
Abstract：A new porous media model with correlated sites-bonds has been
constructed. Taking into account both the pore and throat geometries, the viscous fingering (VF) in porous media has been investigated by using the standard over-relaxed Gauss-Seidel scheme. The simulation results show that the VF's structure varies with the correlation parameter ε and the viscous ratio M. The sweep efficiency E decreases along with the increase of the correlation parameter ε and the lattice size Rls. The surface fractal Ds gradually increases as the correlation parameter ε increases, whatever the viscous ratio M is. Also, Ds gradually increases as M increases whatever ε is. These mean that not only the viscosity ratio but also the topology and the geometry of the porous media have a strong effect on the displacement process, the VF's structure, the sweep efficiency and the surface pattern.
2001, Vol. 18 
