RELATIONSHIP OF LOW-FREQUENCY DIELECTRIC PERMITTIVITY WITH THE CONDUCTIVITY OF LOW-SALTED SAND SAMPLES

Abstract

The results of experimental measurements of the complex dielectric permittivity (CDP) of sand and powders of quartz granules saturated with a saline solution with a conductivity from 0 to 0.77 S/m are presented. The measurements were carried out at the frequencies from 1 kHz to 5 GHz. It is shown that in the frequency range from 10 kHz to 100 MHz, the dielectric characteristics can be modeled by three relaxation processes. The parameters of these processes are described by the Debye and Cole-Cole formulas. For two low-frequency processes, regression equations that relate the parameters of the processes with the specific conductivity of the samples at a frequency of 5 kHz are found. Using the obtained equations and the results of CDP measuring at a frequency of 1 GHz, the calculated CDP spectra of coarse sand samples were obtained. The average deviations of the calculated data from the experimental ones were from 10 to 30 %.