Simulação numérica do escoamento monofásico em reservatórios fraturados

Abstract

In this dissertation, the Embedded Discrete Fracture Model was implemented in a pre-existing numerical simulator aiming at the study of the two-dimensional single-phase isothermal oil flow in a fractured reservoir, producing through a vertical well. This model allows the introduction of discrete fractures in structured computational meshes and accounts for the fluid exchange with the porous matrix and considers the non-neighboring connections of the matrix-fracture, fracture intersection and fracture-fracture types. The Control Volume Finite Difference method and a structured mesh of the centered blocks type were used to solve the Hydraulic Diffusivity Equation and the governing equations for determining the pressure in the fractures. The system of algebraic equations resulting from the discretization was linearized by the Picard Method and the linearized system was solved using the iterative Gauss-Seidel method. Regarding the producing well, a specific model for the well-reservoir coupling was adopted. A mesh refinement study was performed and a test problem was used to verify the numerical results. As an application, the influence of the introduction of fractures on reservoir production under different fracture configurations was analyzed.