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Published online 12 October 2005
Published in Vadose Zone J 4:959-966 (2005)
DOI: 10.2136/vzj2005.0012
© 2005 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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Modeling the Primary Drainage Curve of Prefractal Porous Media

E. Perfect*

Dep. of Earth and Planetary Sciences, Univ. of Tennessee, Knoxville, TN 37996-1410


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Fig. 1. Example of a simulated drainage curve for a b = 3, j = 5, D = 1.771... randomized Sierpinski carpet (realization #1), where S is the relative saturation and logb(h/hmin) is log to base b of the scaled suction. Also shown are the predicted curve based on Eq. [1] and the best fit curve from Eq. [16] with Pd = 0.786 (error sums of squares, ESS = 0.005).

 


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Fig. 2. Comparison of relative saturation values from all of the numerical simulations (Numerical S) with the corresponding values predicted from the best fits of Eq. [16] (Analytical S).

 


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Fig. 3. Example of an experimentally determined drainage curve for soil (Palouse silt loam), where S is the relative saturation and h is the suction. Also shown are the best fit curves for Eq. [1] and [17]. Parameter estimates for these curves are given in Tables 4 and 5, respectively.

 


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Fig. 4. Comparison of relative saturation values for all of the soils (Observed S) with the corresponding values predicted from the best fits of Eq. [1] and [17] (Predicted S).

 





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