Click on image to view larger version.



Fig. 1. Results for log(K) (vertical) vs. S (horizontal) of a representative soil due to capillary flow using fractal scaling for large {theta}, and percolation scaling for {theta} near the percolation threshold. Here, D was chosen to be 2.85, {theta}t as 0.08, and {phi} as 0.44. From Eq. [6], {theta}t turns out to be {theta}t + 0.062. The inverted triangles represent the composite calculation for K. The open circles give the percolation scaling treatment extension into the fractal scaling regime, and the fractal scaling extension into the percolation scaling regime. The vertical line gives {theta}t, and the vertical arrow points to the crossover in validity from Eq. [2] to Eq. [4] for K at {theta}t as determined from Eq. [6].