In the process of oilfield development, the curve fitting method and empirical formula are usually used to determine the variation of relative permeability curve of water drive reservoirs, so as to accurately simulate the oil production and water cut. When using Willhite empirical formula to fit the relationship between relative permeability and water saturation of the outlet, the fitting error is large. Especially for the relative permeability curves with small interval and sharp change, the fitting error is larger. In order to accurately characterize the changing regularity of the oil-water relative permeability curves, on the basis of the analyses of the existing formulas, Willhite empirical formula was chosen as the basic fitting formula to study the relationship between phase index and water saturation, and the oil phase and water phase index were modified. The results show that the fitting accuracy of Willhite empirical formula can be improved obviously by using binomial relation to characterize the relationship between oil-water phase index and water saturation, and the average fitting error is controlled within 8%. The improved Willhite empirical formula can characterize the changing regularity of oil and water more accurately, and has certain practicability and popularization value.
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