Eventos Anais de eventos
ENCIT 2016
16th Brazilian Congress of Thermal Sciences and Engineering
APPLICATION OF THE BOUNDARY ELEMENT METHOD FOR ORTHOTROPIC DIFFUSIVE PROBLEMS
Submission Author:
Raphael Laquini , ES
Co-Authors:
carlos friedrich loeffler, Vitor Pancieri Pinheiro
Presenter: Raphael Laquini
doi://10.26678/ABCM.ENCIT2016.CIT2016-0246
Abstract
Notwithstanding the most realistic rheological models are based on continuum mechanics, research involving oil extraction in rocks has emphasized a simpler approach using hydraulic diffusivity models, based on Darcy’s Equation to simulation of the fluid flow. The constitutive medium in turn, besides a number of important properties, is presented as a non-isotropic constitutive material. Thus, the governing equation in these conditions can be given as a special case of the Generalized Scalar Field Equation. On the other hand, the Boundary Element Method (BEM) is a technique that adapts easily to non regular regions and has a high accuracy in simulation problems, in which the mathematical field is scalar, particularly models involving the Darcy’s Equation. However, the BEM orthotropic model has not found highlighting in oil extraction applications, confining itself commonly to a limited set of applications in dams. The BEM should be used more ostensibly, since it is particularly suitable to model non regular domains. Aiming at future applications in reservoir engineering, this paper presents the mathematical modeling and the implementation of the BEM in orthotropic problems using classical formulation with non isotropic fundamental solution. Numerical tests are implemented in problems with analytical solution known for better performance evaluation.
Keywords
Boundary Element Method, Finite Element Method, Orthotropic Problems, Darcy's Model, Scalar Field Problems, Boundary Element Method, Finite Element Method, Orthotropic Problems, Darcy's Model, Scalar Field Problems, Boundary Element Method, Finite Element Method, Orthotropic Problems, Darcy's Model, Scalar Field Problems
