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This article in SSSAJ

  1. Vol. 66 No. 4, p. 1087-1094
    Received: Mar 22, 2001

    * Corresponding author(s): shukla.9@osu.edu
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Inspectional Analysis of Convective-Dispersion Equation and Application on Measured Breakthrough Curves

  1. M. K. Shukla *a,
  2. F. J. Kastanekb and
  3. D. R. Nielsenc
  1. 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


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 (r 2 > 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-π 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.

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Copyright © 2002. Soil Science SocietyPublished in Soil Sci. Soc. Am. J.66:1087–1094.