Método de decomposição de domínios de múltiplos passos de tempo de Dirichlet-Neumann aplicado à injeção de polímeros em meios porosos

This thesis proposes an innovative mathematical and computational model for injecting 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 twodimensional 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.

Grantor dc:publisher

Universidade Federal do Rio Grande do Norte

Year dc:date.issued

2024

Author dc:creator

• Tavares, Rodrigo Silva

Advisor dc:contributor.advisor

• Santos, Adriano dos

• Injeção de polímeros
• Decomposição de domínio
• Simulação numérica
• Método dos elementos finitos
• Fluido pseudoplástico

Statement dc:rights

• Acesso Aberto

Language dc:language.iso

pt_BR

Repository record dc:identifier.uri

https://repositorio.ufrn.br/handle/123456789/63980

OAI identifier oai:identifier

oai:repositorio.ufrn.br:123456789/63980