Simulador semianalítico para fluxo em reservatórios homogêneos fechados utilizando a solução da fonte pontual aplicada ao método de elementos de contorno

Abstract

Solving the problem of fluid flow inside closed reservoirs holds great importance for the oil industry as it allows field managers to evaluate oil producing fields and supplies data to infer production and income. One of the most common ways to solve this problem is by using the Images Method, which models closed barriers as image wells, but requires excessive processing power as it depends on the convergence of sums of infinite series. As an alternative to the Images Method, this work presents a semi-analytical simulator for monophasic and laminar fluid flow on closed, homogeneous and isotropic reservoirs based on the Boundary Element Method (BEM) associated with the Green’s function for a point source in an infinite reservoir as the fundamental solution. This method has known advantages over other numerical methods including, mainly, the reduction on discretization efforts. This work applies the Python programming language associated to scientific libraries, thoroughly tested and applied on this area. The simulator was tested on 5 different scenarios (well on infinite reservoir, well on small and large reservoir, and well decentralized on 1 and 2 axis) and was validated through another semi-analytical simulator whose results were already thoroughly tested. On all scenarios, the simulator achieved correlation values of more than 95%.