Abstract

This paper focuses on modeling of three-phase non-isothermal compressible flow in porous media taking into account capillary effects. A new formulation of the three-phase non-isothermal flow problem using the concept of reduced pressure is proposed. The purpose of the work is to eliminate the gradients of capillary pressure functions, leading to the unbounded growth of the solution, from the equations for temperature and pressure. An algorithm for the numerical implementation of the model based on the finite-difference method is suggested. A study of the developed difference scheme using the method of a priori estimates is conducted. The simulation results on the example of a one-dimensional model problem are presented.

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