24

Ago

2023
Seminários

VISCOUS FINGERS IN MISCIBLE DISPLANCEMENT IN POROUS MEDIA

Horário
16h00
Local
Praia de Botafogo, 190 - sala 537 ou Via Zoom

Sobre o Evento

We study the motion of viscous miscible liquids in porous. Back front of polymer slug in surfactant-polymer flooding in oil fields is our prototype model. Injection of less viscous fluid to a more viscous one generates instabilities, which are often called “viscous fingers”. This phenomenon has a negative impact on various flooding schemes in oil fields. The model is a system of PDEs consisting of conservation of mass, incompressibility condition and Darcy’s law. We try to find rigorous estimates for the size of the mixing zone, where instabilities are located. In the talk I present result of numerical simulations and rigorous estimates of the mixing zone and compare them to other models popular in oil industry. Based on our approach we suggest a graded viscosity banks scheme, which allows to reduce amount of polymer used in surfactant-polymer flooding. The main idea is replacing the postflushing polymer slug by a serious of smaller slugs with gradually decreasing viscosity. The calculation of concentration of polymer and sizes of those slugs becomes an optimization problem. We provide an explicit formula for optimal solution in the case when number of slugs tends to infinity. The result suggest that the main impact is made by applying the scheme with 2-3 slugs and further improvements are minor.

Texto informado pelo autor.

 

* Os participantes dos seminários não poderão acessar às dependências da FGV usando bermuda, chinelos, blusa modelo top ou cropped, minissaia ou camiseta regata. O uso da máscara é facultativo, porém é obrigatória a apresentação do comprovante de vacinação (físico ou digital).

Apoiadores / Parceiros / Patrocinadores

Palestrantes

Sergey Borisovich Tikhomirov

Master's at Mathematics and Mechanics from Saint Petersburg State University (2005) and ph.d. at Matemática from Saint Petersburg State University (2009), Habilitation Degree in Mathematics, Institute of Information Transmission Problems 2016, University of Leipzig 2016. Has experience in Mathematics research, focusing on Dynamical Systems and Partial Differential Equations. Has experience of applications of mathematics in oil and gas and multimedia industries.

 

Local

Fundação Getulio Vargas

a) Opção presencial *

Praia de Botafogo, 190

5o andar, Auditório 537

 

b) Opção remota (via Zoom)

Link: ID: 959 4976 5940

 

Informações adicionais:

emap@fgv.br

Tel: 55 21 3799-5917

Endereço

a) Opção presencial *

Praia de Botafogo, 190

5o andar, Auditório 537

 

b) Opção remota (via Zoom)

Link: ID: 959 4976 5940

 

Informações adicionais:

emap@fgv.br

Tel: 55 21 3799-5917