Development of Pressure Transient Analysis Model Using BEM for an Arbitrarily Shaped Multi-Well System

Abstract

ABSTRACT Pressure behaviors in homogeneous reservoirs having complex geometry can be mathematically simulated by means of several numerical methods. In this paper, BEM (Boundary Element Method) has been applied to the complex geometrical system. BEM is superior to any other earlier methods that use “image well” in simulating the reservoir boundary, and also has advantages over other numerical methods such as FDM or FEM. BEM has no numerical dispersion and grid orientation effects. The streamline model derived from BEM has been widely used to delineate the theoretical paths to be taken by injected fluids before extensive secondary and tertiary processes are initiated. The free-space Green's function (fundamental solution) satisfying 2-D diffusivity equation in Laplacian space is used as weighting function for the integral equation. Because fundamental solution satisfies the governing equation and represents the field generated by a concentrated unit charge acting at a point “i”, it is possible to treat the multiple sources/sinks. In this study, the basic development of a BEM technique has been described and the solution of BEM model in Laplacian space is presented for the use of pressure transient analysis in an arbitrarily shaped reservoir with multiple line sources. And the type curves are generated by BEM solution for a system with a number of wells, irregular boundary shapes and different boundary conditions.