Banca de QUALIFICAÇÃO: EDUARDO RANGEL GOMES

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : EDUARDO RANGEL GOMES
DATE: 12/06/2023
TIME: 14:30
LOCAL: Online
TITLE:

Population Modeling for Transport and Retention in Porous Media

KEY WORDS:

Population model, Transport and retention, Size exclusion, Adsorption kinetics, Particle and pore size distribution, Excluded and inaccessible pore volume, Multispecies adsorption, High order methods, Vroman and overshoot effects.

PAGES: 100
BIG AREA: Engenharias
AREA: Engenharia Civil
SUMMARY:

The research work aims to develop a mathematical population modeling of the retention process during the transport of particles/molecules in porous media. We developed a mathematical population model based on partial differential equations to model the retention process in porous media with size exclusion and adsorption as capture mechanisms. A new adsorption kinetics is deduced considering particle/molecule and pore distributions. The proposed model is able to predict multispecies adsorption, including overshoot and Vroman effects, which are characteristic effects of multispecies adsorption. The model consists of the equations of species mass conservation, species adsorption kinetics, species capture kinetics and pore blocking kinetics. It is important to highlight that we incorporated the “excluded pore volume” and “inaccessible pore volume” effects in the proposed model. From a numerical point of view, we propose a formulation of the non-oscillatory second-order finite volume method of Kurganov and Tadmor (KT), satisfying a CFL condition, for the transport of species. For numerical resolution of the kinetics of species adsorption, species capture and pore blocking we used the high-order family of Runge-Kutta methods. Numerical simulations were performed using the discrete formulations obtained via KT and Runge-Kutta finite volume methods, with the aim of comparing the numerical results with analytical solutions obtained in the literature, making it possible to evaluate the accuracy and efficiency of the numerical methodology. Next, we propose numerical solutions considering different particle/molecule and pore size distributions to evaluate the transport and retention of species in porous media. Finally, we performed adjustments of experimental data using the Levenberg-Marquardt method to optimize the proposed model.

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