Coupled Large Strain Consolidation and Solute Transport. II: Model Verification and Simulation Results
This article is a reply.
VIEW THE ORIGINAL ARTICLEThis article has a reply.
VIEW THE REPLYPublication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 133, Issue 1
Abstract
The results of numerical simulations for coupled large strain consolidation and solute transport, obtained using the CST1 model, are presented. CST1 accounts for advection, longitudinal and transverse dispersion, first-order decay reactions, and linear equilibrium sorption. Verification checks of CST1 show excellent agreement with analytical solutions for one-dimensional (1D) transport in rigid porous media, including various Peclet numbers and concentration boundary conditions. Similarly excellent agreement is observed for two-dimensional advection-dispersion transport in rigid media and 1D advection-dispersion transport in compressible media undergoing large strain consolidation. CST1 is then used to investigate consolidation-induced solute transport for a single composite liner system and a confined disposal facility for dredged contaminated sediments. In both cases, solute transport was found to be strongly affected by consolidation-induced advection both during and after the consolidation period. Consolidation has a lasting effect on solute migration because transient advective flows change the distribution of solute mass, which then becomes the initial condition for subsequent transport processes.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Financial support for this investigation was provided in part by Grant No. CMS-9622644 from the Geomechanical, Geotechnical, Geoenvironmental Systems Program of the U.S. National Science Foundation and by the U.S. National Oceanic and Atmospheric Administration through the Ohio Sea Grant College Program. This support is gratefully acknowledged. The writer wishes to thank Dr. Charles D. Shackelford, Professor of Civil Engineering at Colorado State University, for providing information and clarification on existing analytical solutions for solute transport in rigid porous media. Dr. David W. Smith, Professor of Civil and Environmental Engineering at the University of Melbourne, and his former and current students (Dr. Glen Peters and Tim Lewis) graciously provided numerical data for Figs. 10 and 11. Thanks also go to Jangguen Lee, graduate research assistant at Ohio State University, who developed the Types II and III concentration boundary conditions for the CST1 model, and to Mark Bradford, formerly a graduate research assistant at Purdue University, who conducted the compaction and consolidation tests on Newton County Landfill clay.
References
Bear, J. (1972). Dynamics of fluids in porous media, Dover, New York.
Brenner, H. (1962). “The diffusion model of longitudinal mixing in beds of finite length, numerical values.” Chem. Eng. Sci., 17(4), 229–243.
Edil, T. B. (2003). “A review of aqueous-phase VOC transport in modern landfill liners.” Waste Manage., 23(7), 561–571.
Fox, P. J. (1996). “Analysis of hydraulic gradient effects for laboratory hydraulic conductivity testing.” Geotech. Test. J., 19(2), 181–190.
Fox, P. J. (2000). “CS4: A large strain consolidation model for accreting soil layers.” Geotechnics of high water content materials, Special Technical Publication 1374, T. B. Edil and P. J. Fox, eds., ASTM International, West Conshohocken, Pa., 29–47.
Fox, P. J. (2007). “Coupled large strain consolidation and solute transport. I: Model development.” J. Geotech. Geoenviron. Eng., 133(1), 3–15
Fox, P. J., and Berles, J. D. (1997). “CS2: A piecewise-linear model for large strain consolidation.” Int. J. Numer. Analyt. Meth. Geomech., 21(7), 453–475.
Gibson, R. E., England, G. L., and Hussey, M. J. L. (1967). “The theory of one-dimensional consolidation of saturated clays. I: Finite nonlinear consolidation of thin homogeneous layers.” Geotechnique, 17(3), 261–273.
Kim, J. Y., Edil, T. B., and Park, J. K. (2001). “Volatile organic compound (VOC) transport through compacted clay.” J. Geotech. Geoenviron. Eng., 127(2), 126–134.
Morris, P. H. (2003). “Compressibility and permeability correlations for fine-grained dredged materials.” J. Waterway, Port, Coastal, Ocean Eng., 129(4), 188–191.
Othman, M. A., Bonaparte, R., and Gross, B. A. (1997). “Preliminary results of composite liner field performance study.” Geotext. Geomembr., 15(4), 289–312.
Park, J. K., Sakti, J. P., and Hoopes, J. A. (1996). “Transport of organic compounds in thermoplastic geomembranes. I: Mathematical model.” J. Environ. Eng., 122(9), 800–806.
Peters, G. P., and Smith, D. W. (2002). “Solute transport through a deforming porous medium.” Int. J. Numer. Analyt. Meth. Geomech., 26(7), 683–717.
Rabideau, A., and Khandelwal, A. (1998). “Boundary conditions for modeling transport in vertical barriers.” J. Environ. Eng., 124(11), 1135–1139.
Rowe, R. K. (1998). “Geosynthetics and the minimization of contaminant migration through barrier systems beneath solid waste.” Proc., 6th Int. Conf. on Geosynthetics, Atlanta, Vol. 1, 27–102.
Smith, D. W. (2000). “One-dimensional contaminant transport through a deforming porous medium: Theory and a solution for a quasi-steady-state problem.” Int. J. Numer. Analyt. Meth. Geomech., 24(8), 693–722.
van Genuchten, M. Th., and Parker, J. C. (1984). “Boundary conditions for displacement experiments through short laboratory soil columns.” Soil Sci. Soc. Am. J., 48(4), 703–708.
Workman, J. P. (1993). “Interpretation of leakage rates in double-liner systems.” Geosynthetic liner systems: Innovations, concerns, and designs, R. M. Koerner and R. F. Wilson-Fahmy, eds., Industrial Fabrics Association International, 95–112.
Information & Authors
Information
Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 133 • Issue 1 • January 2007
Pages: 16 - 29
Copyright
© 2007 ASCE.
History
Received: Sep 16, 2005
Accepted: Jul 27, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.