Explicit analytical solutions for contaminant transport in double-layered geological media associated with time-dependent inlet boundary condition
Abstract
Phenomena of contaminant transport in layered geological media frequently occurs either in natural environments, such as stratified soils, or in constructed environments such as landfill clay liner and barrier system. Analytical solutions for layered solute transport allow the evaluation of the concentration distribution and the identification of the important transport mechanisms with smaller computational efforts. In this study, we present analytical solutions for coupled one-dimensional advection-dispersion equations in a double-layered geological media by honoring a time-dependent inlet boundary condition. The coupled governing equations are ingeniously solved via sequential applications of the Laplace transform with respect to time and the generalized integral transform technique with respect to the spatial coordinate. Numerical solutions using the Laplace transform finite difference scheme are used to test the accuracy of the derived analytical solutions. The results show excellent agreements between the analytical and numerical solutions for the case of the smaller difference between Pelect numbers of two layers. The solution strategy presented in this study can be extended to develop analytical models for multi-dimensional solute transport problem subject to nonequilibrium sorption.
- Publication:
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AGU Fall Meeting Abstracts
- Pub Date:
- December 2013
- Bibcode:
- 2013AGUFM.H43F1518C
- Keywords:
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- 1832 HYDROLOGY Groundwater transport;
- 1829 HYDROLOGY Groundwater hydrology