Abstract
The conductivity of a porous medium made of periodically arranged insulating cylinders with fixed lattice charges in a nonlinear function of the water conductivity via a key dimensionless parameter \ensuremath{\xi} which is a function of the surface counterion number density, the diffusion coefficient in the double layer, the ion density far from the double layer, and the particle radius. When \ensuremath{\xi}\ensuremath{\ll}1 one obtains commonly employed empirical relations.
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