O estudante Carlos Augusto Soares Ferreira, orientado pelo Prof. Clovis R. Maliska, Ph.D. e coorientado por Hermínio Tasinafo Honório Dr. Eng., defenderá sua dissertação na próxima quinta-feira (19/12) às 10h na Sala de Visualização 3D do SINMEC (2º andar do Bloco A/EMC). A defesa é vinculada ao Programa de Pós-Graduação em Engenharia Mecânica. A sala tem capacidade para cerca de 20 pessoas.
Banca:
Prof. Clovis R. Maliska, Ph.D. (Presidente/Orientador)
Prof. Emilio Ernesto Paladino, Dr.Eng.
Título: “Analysis of numerical schemes in collocated and staggered grids for poroelasticity problems”
Resumo:
On the purpose of developing a unified numerical method for solving the coupled problem of poroelasticity applied to petroleum reservoirs, and avoiding problems that might occur due to neglection of solid-fluid interaction effects, some authors have advanced with the finite volume method (FVM). Although several of them contributed to the development of the method to the coupled fluid dynamics and geomechanics problem, only a few addressed the stability issue inherent to the numerical solution of the saddle-point problem that arises in undrained condition. And even fewer works were devoted in understanding this stability issue and the emerging of numerical oscillations. Most of the authors focused in devising stabilization techniques and were less concerned with the origin of the problem.
This master thesis contributes in this direction by exploring the physical nature of the consolidation phenomenon and deepen into numerical aspects of the method. Three stabilization techniques are implemented in a collocated grid and the results are compared to those obtained with a nonstabilized formulation. Furthermore, a nonstabilized formulation in a staggered grid is implemented and its stability is tested. All formulations are verified against Terzaghi’s and Mandel’s benchmark problems.
Palavras-chave: Finite Volume Method. Coupled Poroelasticity. Stabilization Technique.