Analytical solutions for advective-dispersive solute transport in double-layered finite porous media

作者：Li Yu Chao; Cleall Peter John^*

来源：International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 35(4): 438-460.

DOI：10.1002/nag.903

• advection
• analytical techniques
• containment
• diffusion
• layered systems
• porous media

Analytical solutions for advection and dispersion of a conservative solute in a one-dimensional double-layered finite porous media are presented. The solutions are applicable to five scenarios that have various combinations of fixed concentration, fixed flux and zero concentration gradient conditions at the inlet and outlet boundaries that provide a wide number of options. Arbitrary initial solute concentration distributions throughout the media can be considered via explicit formulations or numerical integration. The analytical solutions presented have been verified against numerical solutions from a finite-element-based approach and an existing closed-form solution for double-layered media with an excellent correlation being found in both cases. A practical application pertaining to advective transport induced by consolidation of underlying sediment layers on contaminant movement within a capped contaminated sediment system is presented. Comparison of the calculated concentrations and fluxes with alternative approaches clearly illustrates the need to consider advection processes. Consideration of the different features of contaminant transport due to varying pore-water velocity fields in primary consolidation and secondary consolidation stages is achieved via the use of non-uniform initial concentration distributions within the proposed analytical solutions.

• 出版日期2011-3