Abstract
RECENTLY, Carman1 discussed the applicability of the Kozeny equation to the determination of the specific surface area of consolidated porous media and concluded that it should be applicable if certain specified conditions were fulfilled. Carman apparently envisaged the use of the Kozeny equation with a constant, k, of 5.0, which is the constant found applicable to the case of fluid flow through unconsolidated porous media. Carman has shown2 that k may be expressed as the product of two parameters, namely, a shape factor, k0, and a term (Le/L)2 which we shall call tortuosity, T. He has adduced experimental and theoretical evidence to show that the variation of k0 with pore geometry is likely to be within the approximate range 2.0–2.5 for most porous media, and this conclusion appears to have received general confirmation. For unconsolidated porous media in the porosity range 0.25–0.90, Carman has suggested that k0 is about 2.5, and it is thus implicit that within this range T has a rather constant value of 5.0/2.5 = 2.0.
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References
Carman, P. C., Farad. Soc. Discussions, “Interaction of Water and Porous Materials”, 72 (1948).
Carman, P. C., Trans. Inst. Chem. Eng., 15, 150 (1937).
Archie, G. E., Trans. Amer. Inst. Mech. Eng. (Petroleum Division), 146, 54 (1942).
Fricke, H., and Morse, S., Phys. Rev., 25, 361 (1925).
Coulson, J. M., Trans. Inst. Chem. Eng. (in the press).
Carman, P. C., Soil. Sci., 52, 1 (1941).
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WYLLIE, M., ROSE, W. Application of the Kozeny Equation to Consolidated Porous Media. Nature 165, 972 (1950). https://doi.org/10.1038/165972a0
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DOI: https://doi.org/10.1038/165972a0
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