Vitor Manuel Martins de Matos's Annual Report

Vitor Manuel Martins de Matos's Annual Report

Year: 

2016

Brief description of the research activities: 

I studied the volume dependence on fluid composition arising in porous media flow. These models lead to a class of conservations laws with a singular accumulation derivative and regular transport derivative; therefore, the characteristic analysis depend on a generalized eigenvalue problem. I found general expressions for eigenvalues, left and right eigenvectors, Hugoniot curve, Coincidence curve and Inflection curve; I also characterize a contact curve which plays an important rule on the solution construction.

Join with Dan Marchesin we apply this theory to a flow of three components in two phases.

Panters Rodriguez-Bermudez, Diego S. Monteiro da Silva and myself studied a gravitational model for a vertical flow with a Delta-Dirac injection.

Talks / Seminars / Courses : 

Communications in international conferences

Title:
A class of conservation laws arising in flow in porous media
Name of the event:
2nd IMPA-InterPore Conference on Porous Media Conservation Laws, Numerics and Applications
Speakers
Vitor Manuel Martins de Matos, Dan Marchesin
Talk:
Invited talk
Date:
16.10.2016 to 19.10.2016
Host institution:
IMPA
Country:
Brazil
Location / City:
IMPA, Rio de Janeiro
Title:
VERTICAL TWO-PHASE FLOW UNDER THE ACTION OF A DIRAC DELTA SOURCE IN A POROUS MEDIUM
Name of the event:
2nd IMPA-InterPore Conference on Porous Media Conservation Laws, Numerics and Applications
Speakers
Panters Rodriguez-Bermudez, Vitor Manuel Martins de Matos, Diego S. Monteiro da Silva
Talk:
Invited talk
Date:
16.10.2016 to 19.10.2016
Host institution:
IMPA
Country:
Brazil
Location / City:
Rio de Janeiro - RJ

Seminars

Title:
Uma Introdução à Modelação Matemática da Extração de Petróleo
Speakers
Vitor Manuel Martins de Matos
Date:
24.11.2016
Host institution:
UFJF - Universidade Federal de Juiz de Fora
Country:
Brazil
Location / City:
Juiz de Fora, MG

Work visits: 

IMPA, Rio de Janeiro, RJ, Brazil:
13 Fev - 9 Mai;  12 Jun - 4 Set;  6 Out - 21 - Nov
UFJF, MG, Brazil:
21 Nov - 2 Dez
 

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