Water-Retention of Fractal Soil Models Using Continuum Percolation Theory
Tests of Hanford Site Soils
Allen G. Hunt*,a and
Glendon W. Geeb
a CIRES, Box 216, University of Colorado, Boulder, CO 80309-0216 b Hydrology Group, P.O. Box 999, Pacific Northwest National Laboratory, 3200 Q. St., Richland, WA 99352-0999
Fig. 2. Experimental data for the water-retention curves for the same seven soils as in Fig. 1 and comparison with theoretical calculations from assumed fractal geometry. Arrows denote the moisture contents, d, at which the experimental curves deviate from the predicted curves.
Fig. 3. Plot of observed d vs. calculated SA0.52vol (with unknown proportionality constant A). The FLTF, VOC, and ITS soils are each denoted by an oval. The straight line fit through the origin is an approximate minimum value of d for a given SA0.52vol, and is, on account of its lack of a y-intercept, compatible with the Moldrup relation, Eq. [11], for the threshold moisture content for solute diffusion.
Fig. 4. Plot of observed d vs. calculated R-0.052m, where Rm is the geometric mean of r0 and rm. Note that similar parameters are obtained by the linear regression as in Fig. 3, as well as the value of R2.
Fig. 5. Plot of observed d vs. calculated SA0.52vol (excluding the FLTF soils). The same straight line, which bounded all the measurements, is reproduced on this graph, and that and the linear regression are solved simultaneously for the moisture content at which the two lines cross, = 0.12.
Fig. 6. Predicted values of K(h), using experimentally determined values of threshold moisture content, air-entry pressure, and the first experimental head value at, or below, the deviation of h() from the fractal prediction. While the FLTF loams all have predicted K values above the minimum value for equilibration, roughly one-half of the sands or gravelly soils in the VOC and about one-third of those in the ITS regions are expected to have K values too low to equilibrate. Note that the "others" category denotes ERDF and B8814 loamy sands.
Fig. 7. Simultaneous plots of predicted K(h) for Hanford site soils. The solid circles are the gravelly sands or sandy gravels, the open squares are sands, and the dashes are loams.