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DIVISION S-1—SOIL PHYSICS

Inspectional Analysis of Convective-Dispersion Equation and Application on Measured Breakthrough Curves

^a School of Natural Resources, The Ohio State Univ., 422A Kottman Hall, 2021 Coffey Road, Columbus, OH 43210
^b Dep. of Hydraulics, Univ. of Agricultural Sciences, 18-Muthgasse 1190, Vienna, Austria
^c Dep. of Land, Air and Water Resources, Univ. of California, 1004 Pine Ln., Davis, CA 95616-1728

* Corresponding author (shukla.9{at}osu.edu)

Several miscible displacement experiments were carried out in three 10-, 20-, and 30-cm mollisol and antisol filled soil columns. A strong linear relationship between pore-water velocity (v) and apparent diffusion coefficient (D) was obtained for both soil columns (r² > 0.92). We also derived the nondimensional laws for equilibrium adsorption convective-dispersion equation (CDE) using inspectional analysis, which reduced the physical constants and variables in CDE from seven to four nondimensional- quantities. After scaling, the times of effluent arrival were nearly the same and all the breakthrough curves (BTCs) coalesced into a very narrow region of scaled time.

Abbreviations: BTC, breakthrough curve • CDE, convective-dispersion equation • D, apparent diffusion coefficient • v, pore-water velocity

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				M. K. Shukla, T. R. Ellsworth, R. J. Hudson, and D. R. Nielsen Effect of Water Flux on Solute Velocity and Dispersion Soil Sci. Soc. Am. J., March 1, 2003; 67(2): 449 - 457. [Abstract] [Full Text] [PDF]