Hydrodynamic calculations of layered seams on the basis of modified relative permeabilities

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 dependences for individual interlayers. One-dimensional numerical calculations with these permeabilities are in good agreement with the solution of the two-dimensional problem.