Banca de QUALIFICAÇÃO: JOCENRIQUE CARLO DE OLIVEIRA RIOS FILHO

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : JOCENRIQUE CARLO DE OLIVEIRA RIOS FILHO
DATE: 15/12/2023
TIME: 09:00
LOCAL: Online
TITLE:

Mathematical and Computational Modeling of Two-Phase Transport of Fluids with Gravity and Transport and Retention of Particles in Porous Media

KEY WORDS:

Fluid transport in porous media; Particle transport and retention in porous media; Analytical solutions to gravity segregation; Central-upwind method for non-convex problems.

PAGES: 98
BIG AREA: Engenharias
AREA: Engenharia de Energia
SUMMARY:

In this work, we develop mathematical and computational modeling capable of accurately quantifying the phenomena of fluid transport and particle transport and retention in porous media. For fluid transport, we consider the water-oil immiscible two-phase flow with gravitational effects, described by the mass conservation of the phases together with Darcy's law. The resulting model is a partial differential equation with a non-linear and non-convex flow function, known in the literature as the Buckley-Leverett equation. Furthermore, we consider particle transport and retention based on the theory of multiple retention mechanisms. In the model, we quantify retention phenomena by filtration and adsorption kinetics and adsorption isotherms. Additionally, we obtain reduced models, in one-dimensional form, of the systems of governing equations. We then developed analytical solutions for the reduced models using the method of characteristics and the Lax admissibility and Oleinik entropy conditions. An important contribution of this work is the development of novel analytical solutions for pure gravitational segregation scenarios. For computational modeling, we apply the high-order finite volume method central-upwind to solve the two-dimensional transport equations. Moreover, we solve the retention kinetics using the 3ª order Runge-Kutta method. Finally, we propose several numerical simulations in order to compare the analytical solutions developed with the numerical approximations obtained. It is important to highlight that there is no formal proof in the literature of the convergence of the central-upwind method for the physical solution of equations with non-convex flow functions. In this context, the results show that the method is capable of capturing the developed analytical solutions with accuracy and stability.

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