Banca de QUALIFICAÇÃO: BRUNNA KARLA DE MORAIS SOUZA ASSUNCAO

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
STUDENT : BRUNNA KARLA DE MORAIS SOUZA ASSUNCAO
DATE: 20/12/2024
TIME: 14:00
LOCAL: Sala de Reuniões do Departamento de Matemática
TITLE:

Mathematical and Computational Modeling of the Produced Water Re-Injection Process
in Oil Reservoirs.

KEY WORDS:

Mathematical Modeling; Finite Element Method; Finite Volume Method; Particle
Transport; Produced Water Re-Injection

PAGES: 80
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

The reinjection of produced water is a widely employed technique in oil reservoirs,
wherein the water generated during production is reinjected into the formation. However, this
process is often hindered by reactive phenomena such as adsorption and mechanical
retention. These mechanisms can lead to formation damage, resulting in injectivity loss and,
consequently, a decline in oil production rates. In this context, this dissertation aims to

develop a mathematical and computational model to accurately quantify the produced water
reinjection process in oil reservoirs. The mathematical model focuses on deriving a system of
partial differential equations (PDEs) to describe the hydrodynamics and particle transport
within the porous media. The hydrodynamics are governed by the total mass balance of the
fluid phases, coupled with the total Darcy law, while particle transport is modeled using the
advection-dispersion-reaction transport equation. The reactive nature of particle transport is
incorporated through kinetic laws, which are expressed by ordinary differential equations
(ODEs). For computational modeling, the hydrodynamics are discretized using the dual mixed
finite element method, while the transport equations are discretized with the explicit Central-
Upwind finite volume method. Finally, the implemented computational simulator was
validated comparing with analytical solutions to perform accuracy tests. The numerical results
obtained demonstrate that the simulator can accurately and stably quantify the produced
water reinjection process in oil reservoirs.

COMMITTEE MEMBERS:
Presidente - 1646718 - SIDARTA ARAUJO DE LIMA
Externo ao Programa - 1288120 - ADRIANO DOS SANTOS - UFRNExterno à Instituição - HONÓRIO JOAQUIM FERNANDO - UFF