Percolation theory for flow in porous media by Allen G. Hunt (auth.)

By Allen G. Hunt (auth.)

The current monograph offers, for the 1st time, a unified and accomplished advent to a couple of the elemental shipping houses of porous media, akin to electric and hydraulic conductivity, air permeability and diffusion. The remedy is predicated on serious direction research and the scaling of shipping homes that are separately defined as capabilities of saturation.

At an analogous time, the publication provides an academic on percolation thought for hydrologists, delivering them with the instruments for fixing real difficulties. In flip, a separate bankruptcy serves to introduces physicists to a few of the language and issues of groundwater hydrology valuable for capable modelling.

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1987; Balberg, 1987; de Gennes, 1985). To a rather large extent this curiosity was driven by the interest in novel materials, such as fractal media, or the prospect of finding novel behavior, such as non-universal scaling of transport properties associated with continuum percolation theory. The latter results were believed exemplified by the dependence of the electrical conductivity of natural porous media on the porosity, φ, a dependence which is usually represented as a power law, but had been thought to involve a relatively wide range of experimentally obtained powers.

This difference is believed (correctly) to be important to the fundamental hysteresis between wetting and drying of porous media. 2 Relevant Soil Physics 37 between pore bodies referred to as pore throats (or necks). Although the distinction between pore bodies and pore throats has not, in the past, been made rigorous, recent research by (Glanz and Hilpert) (unpublished) has utilized dual graph theory in a way to accomplish this. In fact their work appears to be a generalization of usual solid-state techniques for constructing dual lattices.

From MathWorld –A Wolfram Web Resource. html) Fig. 2. The tetrahedral structures in the hexagonal close-packed system. html 38 2 Porous Media Primer for Physicists Fig. 3. The octahedral structures in the hexagonal close-packed system. , condensed matter physics. html), one of which is tetrahedral (Fig. 2) and the other octahedral (Fig. 3). The tetrahedral structure is found between three spheres in one layer and one in the next layer placed over the center of these three spheres. The four spheres mentioned form a tetrahedron and at the center of mass of these particles is a void, which would be called a pore body (if natural porous media were constructed from spherical particles).

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