Analytical Modeling of Leverett J-Function Evaluation of Saturation-Height and Poroperm Relationships in Hydrocarbon Reservoirs

Abstract

This research presents an extensive analytical model for the Leverett J-Function in the evaluation of saturation-height and porosity-permeability (poroperm) relationships in various hydrocarbon reservoirs with distinct fluid pairs. Employing a comprehensive test dataset, our methodology derives the relationship between the dependent variable, log of residual water saturation (log Swr), and the independent variable, log of Leverett J-Function (log J), from the log-log plot for each fluid pair under different reservoir conditions. The approach extrapolates the intercept (a) and gradient (b), establishing a significant correlation between log J and log Swr across all fluid pairs. The study comprises six unique cases: Oil/Water, Gas/Water, Air/Kerosene, Kerosene/Brine, Air/Brine, and Air/Mercury. Each case is characterized by distinct interfacial tensions (