A Direct IMPES-type Volume Balance Technique for Adaptive Implicit Steam Models

Abstract

In this paper an IMPES-type thermal volume balance technique is presented applying a direct solution of the set of mass and energy conservation equations. The effect of the convective energy transport can be considered in the isothermal pressure (volume balance) equation by a modification of the coefficients. The solution yields the pressure implicitly, component masses and energy explicitly (IMPEME technique) while keeping the mass, and energy balances. The explicit treatment demands timestep limitation. Volume balance errors are used to control timesteps. Compared with the direct isothermal volume balance approach, significant volume balance errors occur only at the front and at well regions. This is the portion of the reservoir in an adapti ve implicit method (AIM) where the fully implicit handling is used. The IMPEME method is proposed to be the explicit approximation of a thermal AIM. The method can also be incorporated in black oil or compositional isothermal volume balance models to include thermal effects.