Abstract: Considerable progress has been achieved an the research on the flow of polymeric liquids through porous media in recent years. In this paper, main advances in this area are reviewed and the emphasis is put on the theoretical approaches on the mechanism and some recent active research branches of the flow of polymer solutions through porous media. It is pointed out that among the macro-effects on the homogeneous fluids with non-slipping boundary conditions, non-Newtonian (shearthinning) behavior has been qua...