Interfacial transport in porous media: Application to D.C. electrical
conductivity of mortars, Journal of Applied Physics, 1995
Reference:
L.M. Schwartz, E.J. Garboczi, and D.P. Bentz, Journal of Applied Physics **78**, 5898-5908 (1995).

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Interfacial transport in porous media:

Application to D.C. electrical conductivity of mortars

Lawrence M. Schwartz, Edward J.
Garboczi, and Dale P. Bentz

National Institute of Standards and Technology,

Building Materials Division, 226/B350, Gaithersburg, MD 20899

Abstract

A mortar is a composite of inert sand grains surrounded by a porous
cement paste matrix. We investigate the electrical conductivity of model
mortars
that include enhanced electrical conduction in
the matrix - sand grain interfacial region.
The electrical conductivity is evaluated by a combination of
finite element, finite difference,
and random walk methods for periodic and disordered models of mortar.
Since the effective conductivity within the interfacial zone is often much
higher than the bulk matrix conductivity, the
qualitative features of transport in these systems is often
controlled by the connectivity of the interfacial zone. Special attention
is thus given to the geometrical percolation of this zone.
A family of effective medium approximations
give a good qualitative description of the disordered model's electrical
properties.
A simple four parameter Pade
approximant is found to successfully describe the electrical
conductivity of the periodic model over the entire range of parameters studied.

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