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Solute Transport in a Two-Layer Medium Investigated with Time Moments

U.S. Salinity Laboratory, 4500 Glenwood Drive, Riverside, CA 92501

J. H. Dane^*

Dep. of Agronomy and Soils, Auburn Univ., Auburn, AL 36849

*Corresponding author.

ABSTRACT

The study of solute transport in porous media requires knowledge of the transport parameters. These transport parameters can be determined from data collected during displacement experiments using a number of mathematical procedures, among them the moment method. An advantage of this method is that it can also be used to theoretically analyze, and therefore enhance our understanding of, transport problems. We present theoretical time moments as derived from analytical solutions of the advection-dispersion equation in the Laplace domain for a step- and pulse-type solute input applied to a two-layer soil with steady flow transverse to layering. These moments were used for investigating the mean breakthrough time, µ₁, and variance, µ₂. It was shown that, theoretically, more retardation and spreading occurs for a third- than for a first-type boundary condition, but that the presence of the interface, as such, does not affect spreading for either boundary condition.

Contribution of the Alabama Agric. Exp. Stn. as AAES Journal no. 3-892212P.

Received for publication October 30, 1989.

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