Predicting the permeability of very low porosity sandstones

Transport in Porous Media

Volumn 73, Issue 1, 2008, Pages 39-55

  Woudberg, S ^a   Du Plessis, J P ^a  

^a STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

Klinkenberg; Percolation; Permeability; Porous media

Indexed keywords

MECHANICAL PERMEABILITY; PERCOLATION (FLUIDS); POROSITY; POROUS MATERIALS;

KLINKENBERG CORRECTION; PORE-SCALE MODELS;

SANDSTONE;

MECHANICAL PERMEABILITY; PERCOLATION (FLUIDS); POROSITY; POROUS MATERIALS; SANDSTONE;

ERROR CORRECTION; PERCOLATION; PERMEABILITY; PORE SPACE; POROSITY; POROUS MEDIUM; SANDSTONE;

EID: 41949134472     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-007-9168-6     Document Type: Article

References (26)

1. Adler P.M., Jaquin C.G. and Quiblier J.A. (1990). Flow in simulated porous media. Int. J. Multiphase Flow 16(4): 691-712
2. Barber R.W. and Emerson D.R. (2002). The Influence of Knudsen Number on the Hydrodynamic Development Length within Parallel Plate Micro-channels. Advances in Fluid Mechanics IV. pp. 207-216. WITS Press, Southampton, UK
3. Barber R.W. and Emerson D.R. (2006). Challenges in modeling gas-phase flow in microchannels: From slip to transition. Heat Transfer Eng. 27(4): 3-12
4. Bear, J.: Dynamics of Fluids in Porous Media. Dover Publications, Inc. (1972)
5. Bourbie T. and Zinszner B. (1985). Hydraulic and acoustic properties as a function of porosity in Fontainebleau sandstone. J. Geophys. Res. 90(B13): 11524-11532
6. Carman P.C. (1950). Diffusion and flow of gases and vapours through micropores. i. Slip flow and molecular streaming. Proc. Roy. Soc. Lond. Ser. A Math. Phys. Sci. 203(1072): 55-74
7. Chastanet J., Royer P. and Auriault J.-L. (2004). Does Klinkenberg's law survive upscaling. Transp. Porous Media 56: 171-198
8. Churchill S.W. and Usagi R. (1972). A general expression for the correlation of rates of transfer and other phenomena. A.I.Ch.E. J. 18(6): 1121-1128
9. Crosnier S., Du Plessis J.P., Riva R. and Legrand J. (2006). Modeling of gas flow through isotropic metallic foams. J. Porous Media 9(1): 35-54
10. Marino L. and Socio L.M. (2006). Gas flow in a permeable medium. J. Fluid Mech. 557: 119-133
11. Doyen P.M. (1988). Permeability, conductivity and pore geometry of sandstone. J. Geophys. Res. 93(B7): 7729-7740
12. Du Plessis J.P. (1994). Analytical quantification of coefficients in the Ergun equation for fluid friction in a packed bed. Transp. Porous Media 16: 189-207
13. Du Plessis J.P. (1999). Introducing a percolation threshold in pore-scale modelling. Phys. Chem. Earth (A) 24(7): 617-620
14. Du Plessis J.P. and Masliyah J.H. (1988). Mathematical modelling of flow through consolidated isotropic porous media. Transp. Porous Media 3: 145-161
15. Du Plessis J.P. and Masliyah J.H. (1991). Flow through isotropic granular porous media. Transp. Porous Media 6: 207-221
16. Du Plessis J.P. and Roos L.I. (1994). Predicting the hydrodynamic permeability of sandstone with a pore-scale model. J. Geophys. Res. 99(B10): 19771-19776
17. Fredrich J.T., Greaves K.H. and Martin J.W. (1993). Pore geometry and transport properties of Fontainebleau sandstone. Int. J. Rock Mech. Miner. Sci. 30(7): 691-697
18. Innocentini M.D.M. and Pandolfelli V.C. (2001). Permeability of porous ceramics considering the Klinkenberg and inertial effects. J. Am. Ceram. Soc. 84(5): 941-944
19. Knackstedt M.A. and Du Plessis J.P. (1996). Simple permeability model for natural granular media. Geophys. Res. Lett. 23(13): 1609-1612
20. Lloyd, C.A., Du Plessis, J.P., Halvorsen, B.M.: On closure modelling of volume averaged equations for flow through two-dimensional arrays of squares. In: Proceedings of the Fifth International Conference on Advances in Fluid Mechanics, pp. 85-93, Lisbon, Portugal, March 2004
21. Rohsenow, W.M., Choi, H.Y.: Heat, Mass and Momentum Transfer. Prentice-Hall, Inc. (1961)
22. Skjetne E. and Auriault J. (1999). Homogenization of wall-slip gas flow through porous media. Transp. Porous Media 36: 293-306
23. Tang G.H., Tao W.Q. and He Y.L. (2005). Gas slippage effect on microscale porous flow using the lattice Boltzmann method. Phys. Rev. E 72(056301): 056301-1-056301-8
24. Tanikawa W. and Shimamoto T. (2006). Klinkenberg effect for gas permeability and its comparison to water permeability for porous sedimentary rocks. Hydrol. Earth Syst. Sci. Discuss. 3: 1315-1338
25. Woudberg S., Du Plessis J.P. and Smit G.J.F. (2006). Non-Newtonian purely viscous flow through isotropic granular porous media. Chem. Eng. Sci. 61: 4299-4308
26. Wu Y.-S., Preuss K. and Persoff P. (1998). Gas flow in porous media with Klinkenberg effects. Transp. Porous Media 32: 117-137