Author(s)

R. Archer, R.N. Horne & O. Onyejekwe

Abstract

Petroleum reservoir engineering requires solutions to the transient diffu- sion and convection-diffusion equations. Traditionally these calculations are carried out using finite difference methods. Prior workers have used perturbation-based boundary element methods for single phase flow in het- erogeneous media. The current work applies the Dual Reciprocity Boundary Element Method (DRBEM) and the Green Element Method (GEM) to flow in heterogeneous media and to the convection-diffusion equation. GEM is a domain-based scheme incorporating the singular integral the- ory of BEM in an element-by-element fashion. It is very suitable

Keywords