Viscous Fingering in Correlated Site-Bond Square Lattice
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摘要:
A new porous media model with correlated sites-bonds has been constructed. Taking into account both the poreand throat geometries, the viscous fingering (VF) in porous media has been investigated by using the standardover-relaxed Gauss-Seidel scheme. The simulation results show that the VF's structure varies with the correlationparameter e and the viscous ratio M. The sweep effiency E decreases along with the increase of the correlationparameter e and the lattice size Rls. The surface fractal Ds gradually increases as the correlation parameter εincreases, whatever the viscous ratio M is. Also, Ds gradually increases as M increases whatever ε is. This means
that not only the viscosity ratio but also the topology and the geometry of the porous media have a strong effecton the displacement process, the VF's structure, the sweep efficiency and the surface pattern.