A numerical model using the finite element method for the simulation of one phase flow in two dimensions
Abstract
A Finite Element Model (FEM) is presented to simulate flow of a single phase fluid through a porous media in 2-dimensions. This model is the initial phase of a research proiect that builds on the development of a general reservoir simulator for three phase flow. The numerical model can be applied lo heterogeneous fields with constant thickness but complex irregular geometry. No restrictions are imposed in the number of wells in the field. Governing equations and the boundary conditions are specified, followed by a description of the FEM formulation. Analytical solutions are used to verify the predictions of the model in a circular reservoir. lt is also applied in the preliminary simulation of a sector in the Orito oil field (Ecopetrol) located in the Putumayo_Department (Southern Colombia).
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