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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 10-11: Mathematical Modelling and Numerical Simulation of Flow and Transport in Porous Media
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Original Articles

A fully equivalent global pressure formulation for three-phases compressible flows

G. Chavent Inria-Roquencourt, BP 105, 78153 Le Chesnay Cedex, France; Ceremade, Université Paris-Dauphine, 75775 Paris Cedex 16, FranceCorrespondence[email protected]
Pages 1527-1541 | Received 10 Jan 2009, Accepted 17 Mar 2009, Published online: 06 Oct 2009

References

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  • Antoncev , SN and Monahov , VN . 1978 . Three-dimensional problems of time dependant two-phase filtration in nonhomogeneous anisotropic porous media . Dokl. Akad. Nauk. SSSR (Russian), Soviet Math. Dokl. 19, , 243 ( 3 ) : 1354 – 1358 .
  • Chavent , G . 1976 . “ A new formulation of diphasic incompressible flows in porous media ” . In Applications of Methods of Functional Analysis to Problems in Mechanics , Lecture Notes in Mathematics 503 Edited by: Dold , A and Eckman , B . 258 – 270 . Berlin : Springer .
  • Chavent , G and Jaffré , J . 1986 . Mathematicals Models and Finite Elements for Reservoir Simulation , North-Holland : Amsterdam .
  • Chavent , G and Salzano , G . 1985 . Un algorithme pour la détermination de perméabilités relatives triphasiques satisfaisant une condition de différentielle totale . INRIA Research Rep. RR-0355 ,
  • Jégou , S . 1997 . “ Estimation des perméabilités relatives dans des expériences de déplacements triphasiques en milieu poreux ” . In Thèse , Université Paris IX Dauphine .
  • Chen , Z and Ewing , R . 1997 . Comparison of Various Formulations of Three-Phase Flows in Porous Media . J. Comput. Phys. , 132 : 362 – 373 .
  • Amaziane , B and Jurak , M . 2008 . A new formulation of immiscible compressible two-phase flow in porous media . C.R. Mécanique , 336 : 600 – 605 .

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