Homogenization and two-scale convergence, SIAM Journal on Mathematical Analysis, vol.236, pp.1482-1518, 1992. ,
Use of legendre transforms in chemical thermodynamics, The Journal of Chemical Thermodynamics, vol.34, issue.11, pp.1349-1380, 2001. ,
DOI : 10.1016/S0021-9614(02)00170-2
Mathematical Theory of Oil and Gas Recovery, 1993. ,
DOI : 10.1007/978-94-017-2205-6
A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles, Journal of Computational Physics, vol.191, issue.2, pp.601-621, 2003. ,
The Separation of Isotopes by Thermal Diffusion, Reviews of Modern Physics, vol.22, issue.2, pp.151-222, 1946. ,
DOI : 10.1021/ed022p593
Field Theory and Variational Principles, 1974. ,
Theory of Multicomponent Fluids, Applied Mathematical Sciences, vol.135, 1999. ,
Theory and practice of finite elements, 2004. ,
DOI : 10.1007/978-1-4757-4355-5
Fundamental statements about thermal diffusion for a multicomponent mixture in a porous medium, Fluid Phase Equilibria, vol.100, pp.209-222, 1994. ,
DOI : 10.1016/0378-3812(94)80010-3
Theoretical model of thermal diffusion factors in multicomponent mixtures, AIChE Journal, vol.104, issue.5, 2000. ,
DOI : 10.1524/zpch.1994.186.Part_1.113
David Diffusion and Heat Transfer in Chemical Kinetics, 1955. ,
Thermodynamics and constitutive theory for multiphase porousmedia flow considering internal geometric constraints, Advances in Water Resources, vol.22, issue.5, pp.521-547, 1999. ,
Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries, Advances in Water Resources, vol.13, issue.4, pp.169-186, 1990. ,
East Printer: an example of a compositional gradient from a gravitational field, SPE Paper, issue.14411, 1985. ,
Compositional Grading, Theory and Practice, SPE Annual Technical Conference and Exhibition, 2000. ,
The effect of Gravity and Temperature Gradients on Methane Distribution in Oil Reservoirs, 1983. ,
The Interaction of Natural Convection and Gravity Segregation in Oil, SPE Paper 16703 presented at the 1987 SPE Annual Technical Conference and Exhibition, pp.27-30 ,
Spectral stochastic homogenization of divergence-type PDEs, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.6-8, pp.6-8, 2004. ,
DOI : 10.1016/j.cma.2003.05.001
Mathematical Handbook for Scientists and Engineers, 1968. ,
The Maxwell-Stefan approach to mass transfer, Chemical Engineering Science, vol.52, issue.6, pp.861-911, 1997. ,
DOI : 10.1016/S0009-2509(96)00458-7
Diffusion model for predicting reservoir gas losses, Marine and Petroleum Geology, vol.10, issue.1, pp.51-58, 1993. ,
DOI : 10.1016/0264-8172(93)90099-E
« Initial state of petroleum reservoirs: A comprehensive approach », Journal of Petroleum Science and Engineering, vol.58, pp.3-4, 2007. ,
On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media, International Journal of Engineering Science, vol.20, issue.5, pp.643-662, 1982. ,
DOI : 10.1016/0020-7225(82)90118-5
Two-Phase Multicomponent Diffusion and Convection in Porous Media for Reservoir Initialization, SPE Reservoir Evaluation and Engineering, 2006. ,
Dynamics of Multiphase Media, Parts 1, Hemisphere, 1991. ,
Momentum transfer at the boundary between a porous medium and a homogeneous fluid???I. Theoretical development, International Journal of Heat and Mass Transfer, vol.38, issue.14, pp.2635-2646, 1995. ,
DOI : 10.1016/0017-9310(94)00346-W
Nonisothermal Gravitational Equilibrium Model, SPE Reservoir Evaluation & Engineering, vol.2, issue.02, pp.211-217, 1999. ,
DOI : 10.2118/55972-PA
Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2002. ,
DOI : 10.1201/9781420035322
Introduction to Thermodynamics of Irreversible Processes, 3 rd Ed, 1967. ,
A unifying framework for watershed thermodynamics: constitutive relationships, Advances in Water Resources, vol.23, issue.1, pp.15-39, 1999. ,
Birba Field PVT Variations Along the Hydrocarbon Column and Confirmatory Field Tests, Journal of Petroleum Technology, vol.40, issue.01, pp.83-89 ,
DOI : 10.2118/13719-PA
Homogenization techniques for composite media: lectures delivered at the CISM International Center for Mechanical Science, 1987. ,
DOI : 10.1007/3-540-17616-0
Mechanics of continuous media, Part I, 1997. ,
Ferrari Finite Elements for Electrical Engeneers, 1996. ,
Compositional variations within a hydrocarbon column due to gravity, SPE paper 9235, presented at the SPE Annual Technical Conference and Exhibition, 1980. ,
Isothermal gravitational segregation: algorithms and specifications, Fluid Phase Equilibria, vol.175, issue.1-2, pp.175-183, 2000. ,
DOI : 10.1016/S0378-3812(00)00377-0
Random walks in prefractal porous media, AdChE Journal, vol.42, pp.4-921, 1996. ,
On the effective viscosity for the Darcy?Brinkman equation " . Physica A: Statistical Mechanics and its Applications, pp.69-79, 2007. ,
Compositional Gradients in Petroleum Reservoirs " paper SPE 28000 presented at the, Tulsa/SPE Centennial Petroleum Engineering Symposium, pp.28-31, 1994. ,
Computational stochastic homogenization of random media elliptic problems using Fourier Galerkin method " Finite Elements in Analysis and Design, pp.613-622, 2006. ,
Finite Element Method for Fluid Dynamics, 2005. ,