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Modeling the Relationship between Soil Bulk Density and the Water Retention Curve

Institute of Soil, Water and Environmental Sciences, A.R.O., the Volcani Center, P.O.B. 6, Bet Dagan 50250, Israel

View larger version (13K): [in a new window]   Fig. 1. The relationship between relative and relative values. The solid and open circles represent the calibration and validation data, respectively. The dashed lines represent the 95% confidence limits of the fitted curve (Eq. [12]) (solid line) to the calibration data.

View larger version (14K): [in a new window]   Fig. 2. Plot of the power in Eq. [13] for each soil of the calibration data set vs. the corresponding silt/clay content ratio (solid circles) and the fitted expression (Eq. [14]) (solid line). The dashed lines represent the 95% confidence limits of the fitted curve; the open circles represent the validation data.

View larger version (14K): [in a new window]   Fig. 3. The relationship between the relative a and values. The solid and open circles represent the calibration and the validation data, respectively. The dashed lines represent the 95% confidence limits of the fitted curve (Eq. [15]) (solid line) to the calibration data.

View larger version (12K): [in a new window]   Fig. 4. Plot of the relationship between , the pore size distribution index in Eq. [9], and , the coefficient of variation characterizing the WRC (Eq. [4]). The "+" symbols represent the calibration data (Assouline, 2005). The dashed lines indicate the 95% confidence limits of the fitted curve (Eq. [16]) (solid line) to these data. The solid and open circles represent the calibration and the validation data in this study, respectively.

View larger version (27K): [in a new window]   Fig. 5. Reproduced WRCs (solid line) for different compaction levels of Columbia sandy loam and Touchet silt loam soils of the calibration data set, using Eq. [1] (top) and Eq. [9] (bottom), and the corresponding measured data (solid circles). The open circles and dashed line represent the soil at its initial bulk density, .

View larger version (16K): [in a new window]   Fig. 6. Predicted WRCs (solid line) of the mechanically compacted sandy loam soil of the validation data set using (a) Eq. [1] and (b) Eq. [9] compared with the corresponding measured data (solid circles). The open circles and dashed line represent the soils at their initial bulk density .

View larger version (25K): [in a new window]   Fig. 7. Predicted WRCs (solid line) of the untilled soils of the validation data set at c using (a) Eq. [1] and (b) Eq. [9], and the corresponding measured data (solid circles). The open circles and dashed line represent the tilled soils at .

View larger version (15K): [in a new window]   Fig. 8. Plot of the modulus of rupture, s, as a function of the silt/clay content ratio for the data set of Ibanga et al. (1980) (solid circles) and the fitted expression (Eq. [17]) (solid line). The dashed line represents the 95% confidence limits of the fitted curve.

View larger version (22K): [in a new window]   Fig. 9. (a) Pore size distributions for the uncompacted (dashed lines) and compacted (solid lines) sandy loam soil, derived from the WRC expressions in Eq. [1] and Eq. [9] and shown in Fig. (6). (b) Differences between the pore size distributions for the compacted and uncompacted sandy loam soil, presented in (a), for the WRC expressions in Eq. [1] (thicker line) and Eq. [9] (thinner line).