Analytical Solutions for Contaminant Diffusion in Double-Layered Porous Media
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 136, Issue 11
Abstract
Analytical solutions for conservative solute diffusion in one-dimensional double-layered porous media are presented in this paper. These solutions are applicable to various combinations of fixed solute concentration and zero-flux boundary conditions (BC) applied at each end of a finite one-dimensional domain and can consider arbitrary initial solute concentration distributions throughout the media. Several analytical solutions based on several initial and BCs are presented based on typical contaminant transport problems found in geoenvironmental engineering including (1) leachate diffusion in a compacted clay liner (CCL) and an underlying stratum; (2) contaminant removal from soil layers; and (3) contaminant diffusion in a capping layer and underlying contaminated sediments. The analytical solutions are verified against numerical solutions from a finite-element method based model. Problems related to leachate transport in a CCL and an underlying stratum of a landfill and contaminant transport through a capping layer over contaminated sediments are then investigated, and the suitable definition of the average degree of diffusion is considered.
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Acknowledgments
The financial support received from the U.K. Engineering and Physical Sciences Research Council via Grant No. UNSPECIFIEDEP/C532651/2 and from the National Natural Science Foundation of China (NSFC), Grant Nos. UNSPECIFIED10972195 and UNSPECIFIED51009121 are gratefully acknowledged.
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Information
Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 136 • Issue 11 • November 2010
Pages: 1542 - 1554
Copyright
© 2010 ASCE.
History
Received: Apr 15, 2009
Accepted: Apr 6, 2010
Published online: Apr 10, 2010
Published in print: Nov 2010
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