ADI method for 3-D reservoir simulation

Abstract

This reservoir simulation is done by a numerical method which is used to preedict the amount of natural gas in a reservoir and reservoir lifetime. This thesis work was focused on developing three-dimensional simulation model for a natural gas reservoir. The governing equations of the reservoir model are transient mass transport and Darcy's law. The numerical method, finite difference (FDM) was applied to solve these equations by the alternating-direction implicit (ADI) technique combined with FORTRAN programming. The reservoir model was initially assumed in rectangular, cylindrical and irregular shapes. The model can predict pressure profile and the production rate of the natural gas reservoir. The simulation result was compared to one of commercial software of finite element, FEMLAB, giving the 4.58 and 8.07% error.