Hydrodynamic calculations of layered seams on the basis of modified relative permeabilities (Q2760834)

The possibility of reducing the dimensionality of the problem of two-phase filtration in layered seams by introducing modified phase permeabilities instead of initial relative permeabilities, which are coefficients of the initial system of equations within the framework of the Barkley - Leverett model, is studied. Modified permeabilities are proposed for the case where the relative permeabilities of each phase are represented by analytical dependencies for individual interlayers. One-dimensional numerical calculations with these permeabilities are in good agreement with the solution of the two-dimensional problem.