Analytic solutions to the advective contaminant transport equation with non-linear sorption
✍ Scribed by Sheng, Daichao; Smith, David W.
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 366 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0363-9061
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✦ Synopsis
This paper considers advective transport of a soluble contaminant through saturated soil with non-linear sorption of the contaminant onto a stationary porous media. The non-linear sorption isotherms considered in the transport analysis are the Langmuir and Freundlich sorption isotherms. A special case of the Freundlich sorption isotherm is the linear sorption isotherm, and it is shown that in this case transport through a homogeneous soil results in the initial concentration pro"le simply being translated in the direction of the groundwater #ow. However, when the sorption isotherm is non-linear the initial concentration pro"le distorts as it is translated with the groundwater #ow, leading to the development of concentration shock fronts and rarefactions. Analytic solutions to the non-linear "rst-order hyperbolic equations are developed for a number of contaminant transport problems of practical signi"cance. It is shown that in the case of the Langmuir sorption isotherms, shock fronts develop at the leading edge of the concentration pro"le while for the Freundlich sorption isotherm shock fronts may develop at either the leading or trailing edge of the concentration pro"le.