Dielectric dispersion measurements of salt-water-saturated porous glass

Porous-glass specimens with different porosities were made from glass spheres of diameter 0.2--0.3 mm. The cylinder-shaped specimens were filled with salt water with resistivity varying between 0.1 and 500 {Ω}m, and the two-terminal admittance of these specimens was measured in the frequency range 5 Hz to 13 MHz. The dielectric constant and conductivity of a specimen as functions of frequency, with water resistivity as parameter, were both reduced to one single curve when plotted as a function of reduced frequency {ω}/ω₀, where ω₀ is the relaxation frequency of the fluid. The highest relaxation frequency of the specimens was measured to be ω₀. The Lysne-Bergman relaxation-frequency density spectrum of the specimens can be given by g(sₙ) =Csₙ^-b{exp{{}{{-}}[log}₁₀$/B (${s}ₙ$/D${)]}⁴+{F}₁δ({s}ₙ$-1), where ${s}ₙis the relaxation frequency, b=0.84±0.04, while C, D, and{F}₁$ are porosity dependent.