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The dielectric dispersion of liquid-filled porous sintered materials

We have used a differential effective-medium (DEM) theory to model the dielectric properties of sintered glass beads, impregnated with salty water, in the kHz and MHz ranges. The starting point of the theory is a lattice of touching spheres in pore liquid. The sintering is modelled by adding solid material and using the DEM method to calculate the dielectric response. Dipolar interactions in the system are treated by using effective depolarization factors, obtained from the dependence of the formation factor on porosity. The frequency dependence of the formation factor is in good agreement with experimental data. For the real part of the dielectric permittivity, discrepancies arise at low frequencies. This is probably due to percolation effects.