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A CANTOR BAR MODEL FOR THE EFFECTIVE HYDRAULIC CONDUCTIVITY OF PARTIALLY-SATURATED LAYERED SOIL

Tairone Leao^{1},^{*} and Ed Perfect^{1} - ^{1} University of Tennessee, Department of Earth and Planetary Sciences, 1412 Circle Drive, Knoxville, TN 37996-1410 ^{*} Corresponding author: tleao@utk.edu

Fractal mathematics has been used to characterize and simulate porous media, as well as to model flow and transport phenomena. The objective of this research was to investigate the effective hydraulic conductivity (*K _{eff}*) of layered porous media with the thickness and number of horizontal layers being determined by a deterministic Cantor Bar (CB). Simulations of water flow under partially-saturated conditions were performed using the Hydrus 2D software. A layered system of clay loam and silt loam soils was created in Hydrus 2D following the first 4 iterations of a CB with fractal dimension: D = log(2)/log(3) ≈ 0.631 and b = 3. The two soils were packed in 1 cm diameter x 10 cm high virtual two-dimensional columns following the iterations of the CB. At the zero

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