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New Dielectric Mixture Equation for Porous Materials Based on Depolarization Factors

^a IMAG-DLO, P.O. Box 43, NL-6700 AA, Wageningen, The Netherlands
^b Dep. of Water Resources, Wageningen Agricultural Univ., Wageningen, The Netherlands
^c DLO, P.O. Box 59, NL-6700 AB, Wageningen, The Netherlands

View larger version (17K): [in a new window]   Fig. 1 Refraction of an electric field line crossing the interface of a liquid–solid interface with permittivities liquid and solid, where liquid > solid

View larger version (45K): [in a new window]   Fig. 2 Illustration of polarization distribution for a mixture of solid particles, water, and air. The macroscopic polarization, P, and electric field, E, are equal and point in the same direction as the average for all microscopic polarizations, , and their average electric field,

View larger version (47K): [in a new window]   Fig. 3 Electric field lines (horizontal) and equipotentials (vertical) for a homogeneous sphere situated in a previously uniform electric field. If sphere > , the field lines will crowd into the sphere. The field inside the sphere, Esphere, is homogeneous and smaller than the field in the surrounding, E, at distances larger than one radius from the surface

View larger version (19K): [in a new window]   Fig. 4 Permittivity, , as function of water content, , for fine sand (curve c and e, and measurements g and h) and for glass beads (curve a, b, and d and measurements f). The curves a, b, and c are according to Topp et al. (1980). Curves d and e are calculated according to Eq. [16]. The points indicated by f and g were measured using a frequency domain sensor at 20 MHz. The points indicated by h are measured using a time domain reflectometry sensor