Implementation of a finite-volume method for the determination of effective parameters in fissured porous media

Numerical Methods for Partial Differential Equations

Volumn 16, Issue 2, 2000, Pages 237-263

  Caillabet, Yannick ^a   Fabrie, Pierre ^b   Landereau, Pascal ^c   Noetinger, Benoît ^c   Quintard, Michel ^d  

^a ARTS ET MÉTIERS PARISTECH   (France)

^b UNIVERSITÉ DE BORDEAUX   (France)

^c IFP ENERGIES NOUVELLES   (France)

^d IMFT   (France)

Author keywords

Exchange term; Fissured medium; Joint element; Large scale permeability; Porous medium; Two equation model

Indexed keywords

EID: 0000001333     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(200003)16:2<237::AID-NUM6>3.0.CO;2-W     Document Type: Article

References (28)

1. M. Quintard and S. Whitaker, Transport in chemically and mechanically heterogeneous porous media. i: Theoretical development of region-averaged equations for slightly compressible single-phase flow, Adv Water Resourc 19 (1996), 29-47.
2. L. H. Reiss, Reservoir Engineering en milieu fissuré, 1980.
3. A. M. Saidi, Reservoir engineering of fractured reservoirs, 1987.
4. G. Barenblatt and I. Zheltov, Basic flow equations for homogeneous fluids in naturally fractured rocks, Dokl Akad USSR 1960.
5. J. E. Warren and P. J. Root, The behavior of naturally fractured reservoirs, Soc Petrol Eng 1963.
6. Z.-X. Chen, Transient flow of slightly compressible fluids through double-porosity, double-permeability systems - a state-of-the-art review, Tran Porous Media 4 (1989), 147-184.
7. J. H. Cushman, On unifying the concepts of scale, instrumentation and stochastics in the development of multiphase transport theory, Water Resour Res 1984.
8. A. Bourgeat, Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distribution, Comp Meth Applied Mech Eng 47 (1984), 205-216.
9. T. Levy, Ecoulement dans un milieu poreux avec fissures unidirectionnelles, CR Acad Sci Paris 1990.
10. J. L. Auriault and C. Boutin, Deformable porous media with double porosity, quasi statics. i: Coupling effects. Trans Porous Media 1992.
11. M. Quintard and S. Whitaker, Ecoulements monophasiques en milieu poreux: effet des hétérogénéités locales, Méca Théo et Appl 1987.
12. M. Quintard and S. Whitaker, Transport in chemically and mechanically heterogeneous porous media. ii: Comparison with numerical experiments for slightly compressible single-phase flow, Adv Water Resourc 19 (1996), 49-60.
13. S. Whitaker, Diffusion and dispersion in porous media, AIChE J, 1967.
14. J. C. Slattery, Flow of viscoelastic fluids through porous media, AIChE J, 1967.
15. C. M. Marle, Ecoulements monophasiques en milieu poreux, Revue IFP, 1967.
16. T. B. Anderson and R. Jackson, A fluid mechanical description of fluidized beds, Ind Eng Chem Fund 1967.
17. S. Whitaker, Fundamental principles of heat transfer, Krieger Malabar, FL, 1983.
18. S. Whitaker, Flow in porous media. iii: Deformable porous media, Trans Porous Media 1986.
19. S. Whitaker, Flow in porous media. i: A theoretical derivation of darcy's law, Trans Porous Media 1986.
20. W. G. Gray, A derivation of the equations for multiphase transport, Chem Eng Sci 1975.
21. M. Quintard and S. Whitaker, Two-phase flow in heterogeneous porous media: The influence of large spatial and temporal gradients. Trans Porous Media 1990.
22. M. Quintard and S. Whitaker, Transport in ordered and disordered porous media. iii: Closure and comparison between theory and experiment, Trans Porous Media 15 (1994), 31-49.
23. M. Quintard and S. Whitaker, Transport in ordered and disordered porous media: Volume-averaged equations, closure problems, and comparison with experiment, Adv Water Resourc 1993.
24. T. Gallouet, An introduction to finite volumes methods, Les Prepublications du LAMA, 1992.
25. N. Le Blay, Rapport de Stage: Pré traitement de simulations numériques d'éssais de puits sur des maillages flexibles, IFP, 1996.
26. B. Noetinger and T. Estebenet, Up scaling of fractured media using a continuous time random walk, J Phys A Math Gen to appear.
27. A. Ahmadi and M. Quintard, Large-scale properties for two-phase flow in random porous media, J Hydrol 183 (1994), 69-99.
28. B. Noetinger and T. Estebenet, Application of random walk methods on unstructured grids to up-scale fractured reservoirs, ECMOR VI Conf, Scotland, 1998.