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Comparing van Genuchten and Percolation Theoretical Formulations of the Hydraulic Properties of Unsaturated Media

A. G. Hunt*

Department of Physics, Wright State Univ., 3640 Colonel Glenn Hwy., Dayton, OH 45435


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Fig. 1. A comparison of the van Genuchten parameterization for K with the critical path analysis prediction for K. The latter uses {phi} = 0.6, D = 2.81, and {theta}t = 0.1. The moisture content at which Eq. [6] is replaced by Eq. [9] is 0.154. The former uses {phi} = 0.6, m = 0.285714, and {theta}r = 0.1. Equation [13] for the water-retention curve relates S to the hydraulic head, h, to the –(3 – D) = –0.19 power, whereas the van Genuchten parameterization, with the condition m = 1 – 1/n, yields S{propto}h–0.4 for large h.

 





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