Flow of low pressure gas through dual-porosity media

Transport in Porous Media

Volumn 66, Issue 3, 2007, Pages 457-479

  Chastanet, J ^a   Royer, Pascale ^b   Auriault, Jean Louis ^b  

^a 1148 Kelley Engineering Center Corvallis   (United States)

^b LABORATOIRE SOLS SOLIDES STRUCTURES   (France)

Author keywords

Continuum modeling; Dual porosity; Fractured porous media; Gas diffusion; Gas flow; Gas permeability; Homogenization; Klinkenberg's effect; Knudsen's diffusion

Indexed keywords

DIFFUSION; FRACTURE; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; POROSITY; POROUS MATERIALS;

CONTINUUM MODELING; DUAL-POROSITY MEDIA; FRACTURED POROUS MEDIA; KNUDSEN'S DIFFUSION; LOW PRESSURE GAS; MACROSCOPIC FLOW;

FLOW OF FLUIDS;

DIFFUSION; FLOW OF FLUIDS; FRACTURE; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; POROSITY; POROUS MATERIALS;

DIFFUSION; GAS FLOW; PERMEABILITY; POROSITY; POROUS MEDIUM;

EID: 33846955815     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-006-0023-y     Document Type: Article

References (20)

1. H. Adzumi 1937a Studies on the flow of gaseous mixtures through capillaries: I. The viscosity of binary gaseous mixtures Bull. Chem. Soc. Japan 12 199-226 10.1246/bcsj.12.199
2. H. Adzumi 1937b Studies on the flow of gaseous mixtures through capillaries: II. The molecular flow of gaseous mixtures Bull. Chem. Soc. Japan 12 285-291 10.1246/bcsj.12.285
3. J.-L. Auriault 1991 Heterogeneous medium. Is an equivalent macroscopic description possible? Int. J. Engng. Sci. 29 7 785-795 10.1016/ 0020-7225(91)90001-J
4. Auriault, J.-L.: TranUport in porous media: upscaling by multiple asymptotic expansions. In: Dormieux, L., Ulm, F.-J. (eds.) CISM Lecture 480 Applied Micromechanics of Porous Materials, pp. 3-56. Springer (2006)
5. J.-L. Auriault C. Boutin 1992 Deformable porous media with double porosity. Quasi-statics I: Coupling effects Transport Porous Media 7 63-82 10.1007/BF00617317
6. J.-L. Auriault C. Boutin 1993 Deformable porous media with double porosity. Quasi-statics II: Memory effects Transport in Porous Media 10 153-169 10.1007/BF00617006
7. G. Barenblatt I. Zheltov I. Kochina 1960 Basic concepts in theory of seepage of homogeneous liquids in the fractured rock J. Appl. Math. Mech. 24 1286-1303 10.1016/0021-8928(60)90107-6
8. A. Bensoussan J.-L. Lions G. Papanicolaou 1978 Asymptotic Analysis for Periodic Structures North-Holland Publishing Company Amsterdam
9. C. Cercignani 1988 The Boltzmann Equation and its Applications Springer-Verlag Berlin
10. P. Charrier B. Dubroca 2003 Asymptotic transport models for heat and mass transfer in reactive porous media C.R.A.S. Ser. I 336 537-542
11. B. Derjaguin 1946 Measurement of specific surface of porous and disperse bodies by their resistance to the flow of rarefied gas C.R Acad. Sci. URSS 53 623-626
12. H.I. Ene E. Sanchez-palencia 1975 Equations et phénomènes de surface pour l'écoulement dans un modèle de milieu poreux Journal de Mécanique 14 1 73-108
13. W. Kast C.-R. Hohenthanner 2000 Mass transfer within the gas-phase of porous media Int. J. Mass Transfer 43 807-823 10.1016/ S0017-9310(99)00158-1
14. Klinkenberg, L.-J.: The permeability of porous media to liquids and gas. Drilling and Production Practice, American Petroleum Inst., 200-213 (1941)
15. M. Knudsen 1909 Die gesetze der molecularströmung and der inneren reibungsströmung edr gase durch röhren Annalen der Physik 34 75-130
16. Moyne, C.: Two-equation model for a diffusive process in porous media using the volume averaging method with unsteady-state closure. Adv. Water Res. 20 (2-3), 63-76 (1997)
17. P. Royer J.-L. Auriault 1994 Transient quasi-static gas flow through a rigid porous medium with double porosity. Transport in Porous Media 17 1 33-57 10.1007/BF00624049
18. P. Royer J.-L. Auriault J. Lewandowska C. Serres 2002 Continuum modelling of contaminant transport in fractured porous media Transport in Porous Media 49 333-359 10.1023/A:1016272700063
19. E. Sanchez-Palencia 1980 Non-Homogeneous Media and Vibration Theory, Lecture Notes in Physics 127 Springer-Verlag Berlin
20. E. Skjetne J.-L. Auriault 1999 Homogenization of wall-slip flow through porous media Transport Porous Media 36 1 293-306 10.1023/A:1006572324102