Author:
Buyevich Yu. A.,Leonov A. I.,Safrai V. M.
Abstract
The local porosity of a real porous material (obtained by averaging over volumes containing a sufficiently large number of pores) is different from the mean porosity of the material as a whole. This difference is caused by large-scale defects of the porous structure and can be treated as a random function of position in the porous material. Such a random deviation of the local porosity from the average value causes random local flows superimposed upon the mean filtration flow. The characteristic scale of such motion is much larger than that of the flow of a fluid through individual pores. The phenomenon appears to play an important role in transport processes in filtration.In this paper the statistical characteristics of the random fields under consideration are determined on the basis of the assumption that the local porosity is a random function of position with independent increments. Expressions for correlations of various quantities are obtained in terms of the characteristics of porosity fluctuations and the effective coefficients of diffusion caused by the random motions under study are estimated.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference11 articles.
1. Hamon, B. V. 1963 Correction to the spectrums of mean sea level at Sydney, Coff's Harbour, and Lord Howe Island J. Geophys. Res. 68,4635.
2. Buchwald, V. T. & Adams, J. K. 1968 The propagation of continental shelf waves.Proc. Roy. Soc. A305,235.
3. Hamon, B. V. 1962 The spectrums of mean sea level at Sydney, Coff's Harbour, and Lord Howe Island J. Geophys. Res. 67,5147.
4. Mysak, L. A. 1967a On the theory of continental shelf waves J. Mar. Res. 25,205.
5. Adams, J. K. 1968 The low frequency response of sea level to weather systems. M.Sc. thesis,Sydney University.
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