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Soil Water Retention Curve Description Using a Flexible Smooth Function

Lyle Prunty and F. X. M. Casey*

Department of Soil Science, North Dakota State Univ., Fargo, ND 58105-5638


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Fig. 1. Notation for points and asymptote lines which are used to define flexible functions.

 


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Fig. 2. Plot of an example of a function given by Eq. [4]. Values of d are 0.01 except for d3, which is 0.1.

 


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Fig. 3. The Brooks and Corey (BC) function of Eq. [7] represented by the curved line and its dashed extension. Since relative saturation is limited to 1, the WRC is represented everywhere by the solid line. The dashed straight lines represent the limiting case of d = 0.

 


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Fig. 4. The van Genuchten function of Eq. [9]. This function has exactly zero slope at x = 0 and at x = {infty}. The dashed straight lines represent the limiting case of d = 0.

 


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Fig. 5. Examples of the fit of different functions to measured WRC data. (a) Results of fitting three functions from the literature. (b) Results of fitting the flexible function.

 


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Fig. 6. Example of flexible function fit to data from Dane and Puckett (1992).

 


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Fig. 7. Fit of the flexible function and the virtual cubic spline functions to scatter data.

 


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Fig. 8. Comparison of RETC (van Genuchten, 1980) and the flexible function. (a) Water content. (b) Relative hydraulic conductivity.

 





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