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Permeability of Porous Media as Affected by Shrinkage and Swelling of Clays

  • Conference paper
Soil and Aquifer Pollution

Abstract

Hydraulic conductivity (K) of a porous medium as defined by Darcy’s law

$$ {\rm{K}} = - \frac{{\frac{{\rm{Q}}}{{\rm{A}}}}}{{\frac{{{\rm{dh}}}}{{{\rm{dl}}}}}} $$
((1))

is a transport coefficient which depends both on matrix and pore fluid properties, where Q is discharge, A cross-sectional area, and dh/dl the change in head per unit change in length. The relevant pore fluid properties were determined empirically to be density (p) and dynamic viscosity (μ). Intrinsic permeability (k) was defined to describe the conductive properties of a medium independent of the fluid flowing through it (Nutting 1930)

$$ {\rm{K}} = \frac{{{\rm{K}}\mu }}{{\rho {\rm{g}}}}, $$
((2))

with g as the gravitational constant. In a rigid, noninteracting porous medium with an effective pore radius of r, k was shown to be equal to (Bear 1972)

$$ {\rm{k = f(}}\sigma {\rm{)f(}}\theta {\rm{)}}{{\rm{r}}^{\rm{2}}}, $$
((3))

Where f(σ) is a function of pore shape and f(θ a function of porosity, both dimensionless.

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Authors and Affiliations

  1. Institute of Soils and Water, The Volcani Center, ARO, P. O. Box 6, Bet Dagan, 50250, Israel

    E. R. Graber & U. Mingelgrin

  2. Ministry of the Environment, 5 Kanfei Nesharim St., Givat Shaul, Jerusalem, 95464, Israel

    U. Mingelgrin

Authors
  1. E. R. Graber
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  2. U. Mingelgrin
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Editor information

Editors and Affiliations

  1. Dept. of Civil Engineering, Technion - Israel Institute of Technology, Haifa, 32000, Israel

    Hillel Rubin  & Nava Narkis  & 

  2. 359 N Street, SW, Washington, DC, 20024, USA

    Judith Carberry

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© 1998 Springer-Verlag Berlin Heidelberg

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Graber, E.R., Mingelgrin, U. (1998). Permeability of Porous Media as Affected by Shrinkage and Swelling of Clays. In: Rubin, H., Narkis, N., Carberry, J. (eds) Soil and Aquifer Pollution. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03674-7_4

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  • DOI: https://doi.org/10.1007/978-3-662-03674-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08294-8

  • Online ISBN: 978-3-662-03674-7

  • eBook Packages: Springer Book Archive

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