Volume 39, Number 2, March-April 2005
|Page(s)||349 - 376|
|Published online||15 April 2005|
Mixed finite element approximation for a coupled petroleum reservoir model
Université de Pau, L.M.A. CNRS-FRE 2570, Avenue de
l'Université, 64000 Pau, France. email@example.com;
2 Total, CST Jean Feger, Avenue Larribau, 64018 Pau Cedex, France. firstname.lastname@example.org
In this paper, we are interested in the modelling and the finite element approximation of a petroleum reservoir, in axisymmetric form. The flow in the porous medium is governed by the Darcy-Forchheimer equation coupled with a rather exhaustive energy equation. The semi-discretized problem is put under a mixed variational formulation, whose approximation is achieved by means of conservative Raviart-Thomas elements for the fluxes and of piecewise constant elements for the pressure and the temperature. The discrete problem thus obtained is well-posed and a posteriori error estimates are also established. Numerical tests are presented validating the developed code.
Mathematics Subject Classification: 35Q35 / 65N15 / 65N30 / 76S05
Key words: Petroleum reservoir / thermometrics / porous medium / mixed finite elements / a posteriori estimators.
© EDP Sciences, SMAI, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.