Banca de DEFESA: RODRIGO SILVA TAVARES

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : RODRIGO SILVA TAVARES
DATE: 07/11/2024
TIME: 10:00
LOCAL: Online
TITLE:

A multi-timestep Dirichlet-Neumann domain decomposition method applied to the polymer injection in porous media

KEY WORDS:

Polymer Flooding, Domain Decomposition, Numerical Simulation, Finite Element Method, Pseudoplastic Fluid.

PAGES: 121
BIG AREA: Engenharias
AREA: Engenharia de Energia
SUMMARY:

This thesis proposes an innovative mathematical and computational model for the injection of polymer solutions into porous media, efficiently coupling the process in the near-well region and the reservoir. For the mathematical model, in addition to the single-phase flow and transport equations, we postulate closure relationships for the adsorption isotherms, mechanical retention kinetics, and non-Newtonian pseudoplastic behavior. For the computational model, we propose a space-time domain decomposition method based on a predictor-corrector strategy. The resulting system of equations is discretized by the finite element method and linearized by the Newton-Raphson method. Additionally, we apply a consistent flux method to obtain the flow at the boundaries and quantify the injectivity ratio. We then validate the accuracy of the proposed method by comparing the discrete solutions with analytical and high-fidelity solutions. We also discuss the loss of injectivity due to non-Newtonian behavior, mechanical retention, and formation damage in two-dimensional and three-dimensional domains that replicate a five-spot injection pattern. Numerical simulations show that the proposed computational model accurately captures the solutions with low computational costs in various scenarios of polymer injection in porous media.

COMMITTEE MEMBERS:
Externo à Instituição - ADOLFO PUIME PIRES - UENF
Presidente - 1288120 - ADRIANO DOS SANTOS
Externo à Instituição - GRAZIONE DE SOUZA BOY - UERJ
Externo à Instituição - JAIRO VALÕES DE ALENCAR RAMALHO - UFPel
Interno - 1646718 - SIDARTA ARAUJO DE LIMA