Details

Autor(en) / Beteiligte

• Kangle, Huang
• van Genuchten, Martinus T.
• Renduo, Zhang

Titel

Exact solutions for one-dimensional transport with asymptotic scale-dependent dispersion

Ist Teil von

• Applied mathematical modelling, 1996, Vol.20 (4), p.298-308

Ort / Verlag

New York, NY: Elsevier Inc

Erscheinungsjahr

1996

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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