Title :

A gravity current model with capillary trapping for oil migration in multilayer geological basins

Author(s) :

Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Maltese, David [Auteur]
Laboratoire Analyse et de Mathématiques Appliquées [LAMA]

Journal title :

SIAM Journal on Applied Mathematics

Pages :

454–484

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2021

ISSN :

0036-1399

English keyword(s) :

Large scale basin modeling
Multilayer Dupuit approximation
Capillary trapping
Finite Volumes

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
Planète et Univers [physics]/Sciences de la Terre

English abstract : [en]

We propose a reduced model accounting capillary trapping to simulate oil migration in geological basins made of several rock types. Our model is derived from Darcy type models thanks to Dupuit approximation and a vertical ...
Show more >We propose a reduced model accounting capillary trapping to simulate oil migration in geological basins made of several rock types. Our model is derived from Darcy type models thanks to Dupuit approximation and a vertical integration in each geological layer. We propose a time-implicit finite volume scheme which is shown to be unconditionally stable and to admit discrete solutions. Numerical outcomes are then provided in order to illustrate the behavior of our reduced model.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL