Surface conduction and length scales in porous media

Abstract

Transport in porous media is studied using renormalization-group methods with particular emphasis on surface conduction and the determination of a measure of the characteristic length scale of dynamically connected pores. The nonlinear behavior of the conductivity as a function of pore fluid conductivity increases with the sinuousity of the pores. The nonuniversal critical behavior of the transport at the percolation threshold for power-law pore size distributions is studied.