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ekS - Instytut Agrofizyki im. Bohdana Dobrzańskiego PAN w Lublinie ...

ekS - Instytut Agrofizyki im. Bohdana Dobrzańskiego PAN w Lublinie ...

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where SAND and CLAY are percents of sand and clay in the tested soils. The<br />

index WP stands for wilting point as Wang and Schmugge [99] correlated the<br />

transition water content with the wilting point water content.<br />

Fig. 11.<br />

Determination of the dielectric constant of soil solid phase using extrapolation and<br />

three-phase soil dielectric mixing model α.<br />

Further discussion concerning 4-phase models assumes:<br />

− If θ > θWP<br />

, the soil dielectric constant is represented by the 3-phase<br />

models, that is the formula (27) for the α-model, and the formula (30) for<br />

the de Loor model at θ bw =0.<br />

− If θ ≤ θWP<br />

, the soil dielectric constant is represented by the 4-phase<br />

models, that is the formula (28) for the α-model, and the formula (30) for<br />

θbw<br />

the de Loor model, at θ bw = θ and ε bw = ε s + ( 80 , 2 − ε s<br />

) , where ε s is<br />

θ<br />

the soil solid phase dielectric constant, according to (32) for α = 0,5.<br />

5.2. Results and discussion<br />

The relation between the soil dielectric constant, ε, and soil water content, θ,<br />

is presented in Fig. 12. It comes that for water content below 0.3 the values<br />

calculated from the empirical model (31) are higher than the measured ones. This<br />

is particularly evident for samples with high clay content (Table 6, no. 10, 11 and<br />

16), ie for clay content more than 60%. High clay content is positively correlated<br />

with the amount of bound water surrounding soil solid particles (Or and Wraith<br />

WP<br />

37

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