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

  • E. R. Graber
  • U. Mingelgrin
Conference paper


Hydraulic conductivity (K) of a porous medium as defined by Darcy’s law
$$ {\rm{K}} = - \frac{{\frac{{\rm{Q}}}{{\rm{A}}}}}{{\frac{{{\rm{dh}}}}{{{\rm{dl}}}}}} $$
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)
$$ {\rm{K}} = \frac{{{\rm{K}}\mu }}{{\rho {\rm{g}}}}, $$
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)
$$ {\rm{k = f(}}\sigma {\rm{)f(}}\theta {\rm{)}}{{\rm{r}}^{\rm{2}}}, $$
Where f(σ) is a function of pore shape and f(θ a function of porosity, both dimensionless.


Silicate DMSO Hydrocarbon Rubber Shale 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • E. R. Graber
    • 1
  • U. Mingelgrin
    • 1
    • 2
  1. 1.Institute of Soils and WaterThe Volcani Center, AROBet DaganIsrael
  2. 2.Ministry of the EnvironmentGivat Shaul, JerusalemIsrael

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