Abstract

A new porous media model with correlated sites-bonds has beenconstructed. Taking into account both the pore and throat geometries,the viscous fingering (VF) in porous media has been investigatedby usingthe standard over-relaxed Gauss-Seidel scheme. The simulation resultsshow that the VF's structure varies with the correlation parameterε and the viscous ratio M. The sweep efficiency Edecreases along with the increase of the correlation parameterε and the lattice size Rls. The surface fractalDsgradually increases as the correlation parameter εincreases, whatever the viscous ratio M is. Also, Ds graduallyincreases as M increases whatever ε is. This means thatnot only the viscosity ratio but also the topology and the geometry ofthe porous media have a strong effect on the displacement process, theVF's structure, the sweep efficiency and the surface pattern.

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