A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads.

We develop a theory for dielectric response of water-saturated rocks based on a realistic model of the pore space. The absence of a percolation threshold manifest in Archie's law, porecasts, electron-micrographs, and general theories for formation of detrital sedimentary rocks indicates that the pore spaces within such rocks remain interconnected to very low values of the porosity phi. In the simplest geometric model for which the conducting paths remain interconnected, each grain is envisioned to be coated with water. The dielectric constant of the assembly of water-coated grains is obtained by a self-consistent effective medium theory. -Authors