Mathematical Modeling of Oil Reservoir Waterflooding Using Fixed Streamtube at Various Values of Viscosity Ratio

Abstract

Abstract: The speed up of numerical modeling of the oil reservoir waterflooding on high-resolution grids is possible by reducing the dimension of the two-phase flow problem. This problem is posed in fixed streamtubes connecting injection and production wells. The article describes an algorithm for constructing an effective streamtube between a pair of wells in a homogeneous oil reservoir, which guarantees the best approximation of the functions of the total flow rate and water cut of a production well. The obtained functions of the relative width of the streamtube for the periodicity cells of typical well patterns are approximated by piecewise linear functions. An assessment is made of the applicability of the constructed streamtubes for the numerical simulation of two-phase flow with a change in the viscosity ratio of the displacing and displaced phases, which is characteristic of measures to increase oil recovery.