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Extended Dual Composite Sphere Model for Determining Dielectric Permittivity of Andisols

^a National Agricultural Research Center for Kyushu Okinawa Region, Nishigoshi, Kumamoto 861-1192, Japan
^b Faculty of Agriculture, Yamagata Univ., Tsuruoka, Yamagata 997-8555, Japan
^c Biotron Inst., Kyushu Univ., Hakozaki, Fukuoka 812-8581, Japan

View larger version (12K): [in a new window]   Fig. 1. A schematic description of the four-phase composite sphere model.

View larger version (70K): [in a new window]   Fig. 2. A schematic description of the four-phase composite sphere model for describing the dielectric permittivities of aggregated soils.

View larger version (34K): [in a new window]   Fig. 3. Calculated dielectric permittivities by using the two different four-layer composite sphere models (ASW, air-solid-water arrangement; AWSA, air-water-solid-water arrangement; SWA, solid-waterair arrangement; WSWA, water-solid-water-air arrangement). Dielectric permittivities calculated by SWA configuration are also shown.

View larger version (53K): [in a new window]   Fig. 4. Comparisons between model predictions and measured data of the relationship between volumetric water content and dielectric permittivity for four different soil samples. Three different weight functions, that is, two different sigmoidal functions, SW1 and SW2, correspond to Eq. [10] and [11], respectively, and linear function (LW) is applied for the calculations of four-layer model.

View larger version (30K): [in a new window]   Fig. 5. Comparisons between model predictions and measured data of the relationship between volumetric water content and d/d for wet-aggregate soil, which aggregate size is 1.0 to 2.0 mm in diameter. Four model predictions are shown: four-layer model with sigmoidal weight functions, Eq. [10] (solid line), four-layer model with sigmoidal weight functions, Eq. [11] (dash dot line), four-layer model with linear weight functions (dash line), Friedman's model (dot line).