A Fundamental Moving Boundary Problem of 1D Commingled Preferential Darcian Flow and Non-Darcian Flow Through Dual-Layered Porous Media

In consideration of vertical formation heterogeneity, a basic nonlinear model 1D commingled preferential Darcian flow and non-Darcian with the threshold pressure gradient (TPG) in dual-layered is presented. Non-Darcian TPG happens low-permeability tight layer, kinematic equation holds other high-permeability layer. The similarity transformation method applied to analytically solve model. Moreover, existence uniqueness analytical solution are proved strictly. Through results, some significant conclusions obtained. layer can intensify intensity very sensitive dimensionless thickness ratio. effect permeability ratio elastic storage on production sub-rate more than that addition, it strictly demonstrated moving boundary conditions caused by should be incorporated into When neglected, will exaggerated. Eventually, solid theoretical foundations provided here, which for solving seepage problems engineering numerical simulation validation physical experiment design. Furthermore, they helpful better understanding behavior through paths (such as fractures) water flooding development heterogeneous reservoirs; then, efficient profile control technology further developed improve oil recovery.