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Modeling Soil Shrinkage Curve across a Wide Range of Soil Types

^a Institute of Plant Nutrition and Soil Science, CAU Kiel, Olshausenstr. 40, D-24118 Kiel, Germany
^b Institute of Soil Science, Chinese Academy of Sciences, P.O. Box 821, Nanjing 210008, People's Republic of China

View larger version (25K): [in a new window]   Fig. 1. Schematic diagram for the typical shrinkage curve with four shrinkage zones.

View larger version (23K): [in a new window]   Fig. 2. Schematic comparisons of the water retention curve modeled by van Genuchten model (Eq. [3]) and the shrinkage curve modeled by Eq. [10]. Equation [4] and Eq. [7] are the basic shapes of water retention curve and soil shrinkage curve, respectively.

View larger version (25K): [in a new window]   Fig. 3. The shrinkage curves from Reeve and Hall's six soils modeled by Eq. [10]. (a) Faulkbourne Bw, Faulkbourne Btg and Ragdale, (b) Wyre Bw, Wyre Bg and Faldbury. The square point (z, ez) is the end-point from residual shrinkage to zero shrinkage; the cross point (d, ed) is the dry-side maximum of the curvature; the diamond point (p, ep) is the end-point from the proportional shrinkage to residual shrinkage; the plus point (w, ew) is the end-point from structural shrinkage to proportional shrinkage.

View larger version (25K): [in a new window]   Fig. 4. The shrinkage curves from Talsma's soils with three levels of applied stress (P = 0; 6.3 and 11.2 kPa) modeled by Eq. [10]. The square point (z, ez) is the end-point from residual shrinkage to zero shrinkage; the cross point (d, ed) is the dry-side maximum of the curvature; the diamond point (p, ep) is the end-point from the proportional shrinkage to residual shrinkage.

View larger version (22K): [in a new window]   Fig. 5. The shrinkage curves from three Typic Chromexert soils modeled by Eq. [10]: The square point (z, ez) is the end-point from residual shrinkage to zero shrinkage; the cross point (d, ed) is the dry-side maximum of the curvature; the diamond point (p, ep) is the end-point from the proportional shrinkage to residual shrinkage; the plus point (w, ew) is the end-point from structural shrinkage to proportional shrinkage.

View larger version (30K): [in a new window]   Fig. 6. Effect of parameter of the Eq. [10] on soil shrinkage curve at a given m = 1.0 and n = 2.0.

View larger version (28K): [in a new window]   Fig. 7. Effect of parameter m of the Eq. [10] on soil shrinkage curve at a given = 1.0 and n = 2.0.

View larger version (29K): [in a new window]   Fig. 8. Effect of parameter n of the Eq. [10] on soil shrinkage curve at a given = 2.0 and m = 1.0.