Method Gracheva - Khairullina to approximate the relative permeabilities.

摘要

One of the ways to study displacement mechanism is a physical modeling technique, both because of the difficulties of analytical and numerical research, and because of lack of sufficient information about the empirical functions of the relative permeability and Leverett J-function that define the process of two-phase filtration. In the hydrodynamic calculations, the empirical relative permeability, saturation functions are used gathered from experimental data. The permeable rocks have their own relative permeability curves characteristic. It is essential to observe and estimate the influence of the relative permeability curves shapes with different water content, residual water saturation and any viscosity, Buckley-Leverett ratios.There are modified equations for displacing and displaced phases, but, approximated by the cubical polygons, they are appeared to be concave and have significant errors when defining extreme points. The proposed relative permeability curve processing procedure lets us not only interpolate relative permeability experimental data, but extrapolate them as well. These equations satisfy the bound conditions, which is vital when conducting the theoretical researches associated with the influence on the oil bed. The usage of the approximations observed in the work will let us more precisely estimate the efficiency of the non-piston displacement of oil by surfactants in the process of water displacement