Abstract

An analytical solution is presented for one-dimensional solute transport in soil during ponded infiltration. The pore-water velocity υ = q/θ in the convection-dispersion transport equation was obtained by assuming that the water flux density q in the soil can be calculated with the Green-Ampt infiltration model, q = a + b/I, in which a and b are constants and I is the cumulative infiltration rate evaluated using Philip's twoterm infiltration equation. The water content θ was approximated by the saturated water content, θ s . Through an appropriate transformation, the solute transport equation for transient unsaturated flow conditions was linearized and solved analytically for a general initial concentration profile given by an arbitrary number of straight line segments. The solution compared well with more complete numerical solutions of the transport problem, as well as with several experimental data sets

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