Control volume method for modelling slightly compressible flow reservoirs

Abstract

Numerical simulation is widely used for predicting reservoir behavior and forecasting its performance. In this paper numerical modeling isperformed to simulatesingle phase flow in oil reservoir in horizontal well, with the main objective of determining pressure variation in the reservoir. The conservation of mass and momentum equation in form of Darcy’s law are combined to form PDE’s that govern the flow. One dimensional slightly compressible flow in Cartesian co-ordinates and radial co-ordinates with two injections and one extraction attached to thereservoir at distinct points is discussed. The governing equation is solved numerically using FVM with an assumption that the permeability and porosity are constant throughout the reservoir. Tri-diagonal Matrix Algorithm isdevelopedfrom which iterative numerical solutions of pressureis obtain. The results were comparable with the analytical solution.