Comptes Rendus
Streamline splitting between thermodynamics and hydrodynamics in a compositional gas–liquid flow through porous media
[Découplage de la thermodynamique et hydrodynamique suivant les lignes de courant dans un écoulement gaz–liquide compositionnel en milieux poreux]
Comptes Rendus. Mécanique, Volume 335 (2007) no. 1, pp. 7-12.

On propose une méthode de découplage de la thermodynamique et l'hydrodynamique dans le modèle compositionnel diphasique avec transition de phases, ce qui permet d'obtenir des solutions efficaces semi-analytiques des problèmes découlement suivant les lignes de courant. Le modèle thermodynamique découplé est indépendant et contient des nouvelles équations différentielles thermodynamiques reponsables pour le bilan de masse dans un système thermodynamique ouvert. Le modèle hydrodynamique découplé contient deux équations, pour la pression et la saturation. Le modèle est validé numériquement.

A method of splitting the thermodynamics and hydrodynamics in the model of two-phase compositional flow with phase transitions through porous media is proposed. This enables us to obtain effective solutions to flow problems along streamlines. The split independent thermodynamic subsystem includes new thermodynamic differential equations responsible for the mass balance in an open thermodynamic system. The split hydrodynamic subsystem contains only two flow equations with respect to pressure and saturation. The model is validated numerically.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2006.12.001
Keywords: Porous media, Two-phase flow, Gas-condensate, Gas–liquid, Phase transition, Compositional
Mots-clés : Milieux poreux, Écoulement diphasique, Gaz-condensate, Gaz–liquide, Transition de phase, Compositionnel

Sergey Oladyshkin 1 ; Mikhail Panfilov 1

1 LEMTA UMR 7563, École de géologie – INPL, 2, avenue de la forêt de Haye, BP160, 54504 Vandoeuvre les Nancy, France
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Sergey Oladyshkin; Mikhail Panfilov. Streamline splitting between thermodynamics and hydrodynamics in a compositional gas–liquid flow through porous media. Comptes Rendus. Mécanique, Volume 335 (2007) no. 1, pp. 7-12. doi : 10.1016/j.crme.2006.12.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.12.001/

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[2] S. Oladyshkin, M. Panfilov, Two-phase flow with phase transitions in porous media: instability of stationary solutions and a semi-stationary model, in: Third Biot Conference on Poromechanics, Norman, Oklahoma, USA, 2005, pp. 529–535

[3] K. Aziz; A. Settari Petroleum Reservoir Simulation, Applied Science Publishers, London, 1979

[4] I. Panfilova; M. Panfilov Near-critical gas–liquid flow in porous media: monovariant model, analytical solutions and convective mass exchange effects, Transport in Porous Media, Volume 56 ( July 2004 ) no. 1, pp. 61-85

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