Generalized Buckley-Leverett problem

Abstract

Analysis of the effect produced by thermal and gas treatment on oilfield reservoirs of the Bazhenov formation involves the dynamics of a porous saturated medium with a multiphase multicomponent fluid, taking into account the chemical and physicochemical transformations under thermal and gas injection. This work is a qualitative investigation into such processes based on a simplified partial model allowing analytical study. The process of hot water injection into hydrocarbon-saturated reservoirs is considered. The physical statement of the problem is the generalization of the BuckleyLeverett problem additionally taking into account mass and heat sources. The purpose is to study the mechanism of heat and mass transfer in a porous medium with allowance for chemical and physicochemical transformations. By way of example, an analytical solution of the problem is considered using a specific algebraic expression for the Buckley-Leverett function. Our research makes it possible to identify some qualitative features of the general model and to draw significant practical conclusions. The results can be applied to the investigation into a wide scope of processes of liquid-liquid displacement in a porous medium with two-phase and multicomponent fluid in the presence of heat and mass sources.