The Modelling of Dielectric Relaxation under Microwave Treatment into Porous, Humidified Body

Abstract

According to the method of local special averaging, a porous medium is considered as a continuum of material points with averaged or effective physical properties. The equations of electrodynamics are written in the reduced form by the definition of the generalized dielectric constant. To describe the dielectric properties of a modelled three-phase porous medium, the possibility of using the pulse relaxation method is demonstrated. Based on the dielectric properties by the using of pulse relaxation function, the polarization and current via delay functions are defined depending on the volume fraction of the saturation of the porous medium with liquid phases. The time limits of the proposed relaxation functions are analysed and in the harmonic approximation of the field amplitudes, a transparent expression for the generalized dielectric displacement vector is written in terms of physical content. Within the framework of the effective macroscopic field approximation according to the cluster approach, a method of averaging local equations of the electromagnetic field is demonstrated. The generalized complex dynamic dielectric constant for the composite porous body is determined. The compatibility conditions of the demonstrated method for describing of electromagnetic processes in a heterogeneous multiphase porous medium are recorded.