Numerical Solution by Finite Difference Approach for Homogenous Finite and Infinite Redial Reservoir by Computer Programing

Abstract

One of the most important problem in petroleum industry is to know the pressure distribution in the reservoir with realistic and applicable method, this study gives a pressure description with respect to time and distance. A mathematical model is developed for a homogenous finite and infinite reservoir, radial and unsteady state flow. The model is written in a dimensionless form. Numerical solution using the finite difference on implicit approach is applied, and the results are obtained by using Matlab. The results obtained are compared with the analytical solutions indicating the validity of the numerical solutions with an accepted error.