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• W2035436969 abstract "A general analytical solution is developed for one-dimensional solute transport in heterogeneous porous media with scale-dependent dispersion. The solution assumes that the dispersivity, α, increases linearly with distance, x , that is, α ( x ) = ax , until some distance x 0 , after which a reaches an asymptotic value, α L = ax 0 . The parameters a and x 0 characterize the nature of the scale-dependent dispersion process. The general solution contains as special cases the solutions of the classical convection-dispersion equation (CDE) assuming a constant dispersivity, and a recent solution by Yates assuming a linearly increasing dispersivity with distance. A simplified solution is also derived for cases where diffusion can be neglected. In addition, a solution for steady-state transport is presented. Results obtained with the proposed solutions demonstrate several features of scale-dependent dispersion in nonhomogeneous media which differ from those predicted with the CDE model and the model of Yates. 1" @default.
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• W2035436969 date "1996-04-01" @default.
• W2035436969 modified "2023-10-06" @default.
• W2035436969 title "Exact solutions for one-dimensional transport with asymptotic scale-dependent dispersion" @default.
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• W2035436969 doi "https://doi.org/10.1016/0307-904x(95)00123-2" @default.
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