Free Access
Issue |
ESAIM: M2AN
Volume 37, Number 2, March/April 2003
|
|
---|---|---|
Page(s) | 373 - 388 | |
DOI | https://doi.org/10.1051/m2an:2003032 | |
Published online | 15 November 2003 |
- S.N. Antontsev and A.V. Domansky, Uniqueness generalizated solutions of degenerate problem in two-phase filtration. Numerical methods mechanics in continuum medium. Collection Sciences Research, Sbornik, t. 15, No. 6 (1984) 15-28 (in Russian). [Google Scholar]
- L. Badea, Adaptive mesh finite element method for the sedimentary basin problem. In honour of Academician Nicolae Dan Cristescu on his 70th birthday, Rev. Roumaine Math. Pures Appl. 45 (2000), No. 2 (2001) 171-181. [Google Scholar]
- C. Bardos, Problèmes aux limites pour les équations aux dérivées partielles partielles du premier ordre à coefficients réels. Ann. Sci. École Norm. Sup. 3 (1970) 185-233. [Google Scholar]
- A. Bensoussan, J.L. Lions and G. Papanicolaou, Asymptotic analysis for periodic structures. North-holland, Amsterdam (1978). [Google Scholar]
- P.A. Bourque, http://www.ggl.ulaval.ca/personnel/bourque/intro.pt/science.terre.html. [Google Scholar]
- H. Brezis, Analyse fonctionnelle - Théorie et applications. Masson, Paris (1983). [Google Scholar]
- P.G. Ciarlet and J.L. Lions, Handbook of Numerical Analysis. Vol. II, Finite Element Methods (Part 1). North Holland (1991). [Google Scholar]
- A.C. Fowler and X. Yang, Fast and slow compaction in sedimentary basins. SIAM J. Appl. Math. 59 (1999) 365-385. [CrossRef] [MathSciNet] [Google Scholar]
- G. Gagneux, Sur l'analyse de modèles de la filtration diphasique en milieu poreux, in Équations aux dérivées partielles et applications : Articles dédiés à J.L. Lions. Gauthier-Villars, Elsevier (1998) 527-540. [Google Scholar]
- G. Gagneux and M. Madaune-Tort, Analyse mathématique de modèles non linéaires de l'ingénierie pétrolière, Mathématiques & Applications No. 22. Springer-Verlag (1996). [Google Scholar]
- G. Gagneux, A. Plouvier-Debaigt and G. Vallet, Modélisation et analyse mathématique d'un écoulement 2D monophasique dans un bassin sédimentaire faillé sous l'effet de la compaction verticale, Publication Interne du Laboratoire de Mathématiques Appliquées CNRS-ERS 2055, No. 2000-31 (2000). [Google Scholar]
- D. Gilbart and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin (1977). [Google Scholar]
- G. Gödert and K. Hutter, Induced anisotropy in large ice shields: theory and its homogenization. Contin. Mech. Thermodyn. 10 (1998) 293-318. [CrossRef] [MathSciNet] [Google Scholar]
- A.T. Ismail-Zade, A.I. Korotkii, B.M. Naimark and I.A. Tsepelev, Implementation of a three-dimensional hydrodynamic model for evolution of sedimentary basins. Comput. Math. Math. Phys. 38 (1998) 1138-1151. [MathSciNet] [Google Scholar]
- E. Ledoux, http://www.emse.fr/environnement/fiches/1_2_2.html. [Google Scholar]
- J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, Paris (1969). [Google Scholar]
- X. Luo, G. Vasseur, A. Pouya, V. Lamoureux-Var and A. Poliakov, Elastoplastic deformation of porous media applied to the modelling of compaction at basin scale. Marine and Petroleum Geology 15 (1998) 145-162. [CrossRef] [Google Scholar]
- N.G. Meyers, An Lp-estimate for the gradient of solutions of second order elliptic divergence equations. Ann. Sci. Norm. Sup. Pisa Cl. Sci. 17 (1963) 189-206. [Google Scholar]
- J. Necas, Écoulements de fluide, Compacité par entropie, Collection Recherche et Mathématiques Appliquées, No. 10. Masson (1989). [Google Scholar]
- H. Obelembia Adande, Contribution à l'étude de l'unicité pour des systèmes d'équations de conservation. Cas des écoulements diphasiques incompressibles en milieu poreux, Thèse de l'Université de Pau (1996). [Google Scholar]
- O.A. Oleinik, Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation. Uspekhi Mat. Nauk 14 (1959) 165-170. [Google Scholar]
- L. Perez, Modélisation de la compaction dans les bassins sédimentaires : Influence d'un comportement mécanique tensoriel, Thèse de l'ENSAM (1998). [Google Scholar]
- F. Schneider and S. Wolf, Quantitative HC potential evaluation using 3D basin modelling application to Franklin structure, central Graben, North Sea. UK Marine and Petroleum Geology 17 (2000) 841-856. [CrossRef] [Google Scholar]
- F. Schneider, S. Wolf, I. Faille and D. Pot, A 3D basin model for hydrocarbon potential evaluation: Application to Congo offshore. Oil and Gas Science and Technology 55 (2000) 3-12. [Google Scholar]
- G. Sciarra, F. Dell'Isola and K. Hutter, A solid-fluid mixture model allowing for solid dilatation under external pressure. Contin. Mech. Thermodyn. 13 (2001) 287-306. [MathSciNet] [Google Scholar]
- M. Wangen, Two-phase oil migration in compacting sedimentary basins modelled by the finite element method. Int. J. Numer. Anal. Methods Geomech. 21 (1997) 91-120. [CrossRef] [Google Scholar]
- M. Wangen, B. Antonsen, B. Fossum and L.K. Alm, A model for compaction of sedimentary basins. Appl. Math. Modelling 14 (1990) 506-517. [CrossRef] [Google Scholar]
- Z. Wu and J. Yin, Some properties of functions in BVx and their applications to the uniqueness of solutions for degenerate quasilinear parabolic equations. Northeast. Math. J. 5 (1989) 395-422. [MathSciNet] [Google Scholar]
- E. Zakarian and R. Glowinski, Domain decomposition methods applied to sedimentary basin modeling. Math. Comput. Modelling 30 (1999) 153-178. [CrossRef] [MathSciNet] [Google Scholar]
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.