Solução numérica de problemas de reservatórios de petróleo utilizando coordenadas generalizadas.

Abstract

This work presents a numerical solution for two-phase (oil-water) flows using a simplified black-oil model written in mass fractions and investigation about an appropriate treatment for the non-ortogonal terms. The equations are discretized using the finite-volume method and generalized coordinates with a fully implicit formulation. In each time step, the mass conservation equations for the components are solved for pressure and mass fraction of the oil. Results of saturation distribution, oil recovery and water cut are presented and analyzed. Results based on the number of iterations obtained with Newton method, solver iterations, CPU time used for Jacobian matrix construction, as well as, in the solution of the linear systems are used to analize the effect of the non-orthogonal terms. For each analyzed case, the complete procedure is evaluated for several grid angles.