Technical Notes
Feb 22, 2018

Decoupled Advection-Dispersion Method for Determining Wall Thickness of Slurry Trench Cutoff Walls

Publication: International Journal of Geomechanics
Volume 18, Issue 5

Abstract

Low-permeability slurry trench cutoff walls are commonly constructed as barriers for containment of subsurface point-source pollution or as part of seepage-control systems on contaminated sites. A method to estimate wall thickness in slurry wall design is proposed based on decoupling the advective and dispersive components of contaminant fluxes through the wall. The relative error of the result obtained by the proposed method compared with that by an analytical solution was found to increase as the ratio of the specified breakthrough exit concentration (c*) to the source concentration (c0) increased. For c*/c0 of less than 0.1, which covers common practical situations, the relative error was not greater than 4% and was always conservative, indicating that the proposed method provides sufficient accuracy for design. For a given breakthrough criterion (i.e., c*/c0), the relative error was low for the scenarios having either a low or high column Peclet number, where either dispersion or advection dominates the contaminant migration, respectively, and the relative error was high for the scenario having an intermediate column Peclet number, in which case the coupling effect of advective and dispersive migrations is relatively high.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The financial support received from the National Natural Science Foundation of China by Grants 41672284 and 51378465, the Science Technology Department of Zhejiang Province by Grant 2016C31G2010015, and the Natural Environment Research Council (NERC) Grant NE/L013908/1 is gratefully acknowledged.

References

Brenner, H. (1962). “The diffusion model of longitudinal mixing in beds of finite length—Numerical values.” Chem. Eng. Sci, 17(4), 229–243.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, Oxford Univ., Oxford, U.K.
Cavalcante, A. L. B., and de Farias, M. M. (2013). “Alternative solution for advective-dispersive flow of reagent solutes in clay liners.” Int. J. Geomech., 49–56.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater, Prentice-Hall, Upper Saddle River, NJ.
Lapidus, L., and Amundson, N. R. (1952). “Mathematics of adsorption in beds. 6. The effect of longitudinal diffusion in ion exchange and chromatographic columns.” J. Phys. Chem., 56(8), 984–988.
Lindstrom, F. T., Haque, R., Freed, V. H., and Boersma, L. (1967). “The movement of some herbicides in soils: Linear diffusion and convection of chemicals in soils.” Environ. Sci. Technol., 1(7), 561–565.
Malusis, M. A., Maneval, J. E., Barben, E. J., Shackelford, C. D., and Daniels, E. R. (2010). “Influence of adsorption on phenol transport through soil-bentonite vertical barriers amended with activated carbon.” J. Contam. Hydrol., 116(1–4), 58–72.
Ogata, A., and Banks, R. B. (1961). “A solution of the differential equation of longitudinal dispersion in porous media.” Fluid movement in earth materials, U.S. Government Printing Office, Washington, DC. A1–A9.
Prince, M. J., Maneval, J. E., and Evans, J. C. (2000). “Analysis of boundary conditions for contaminant transport through adsorptive, low-permeability slurry trench cutoff walls.” Proc., Environmental Geotechnics, ASCE, Reston, VA, 58–72.
Rabideau, A., and Khandelwal, A. (1998). “Boundary conditions for modeling transport in vertical barriers.” J. Environ. Eng., 1135–1139.
Rowe, R. K., Quigley, R. M., Brachman, R. W. I., and Booker, J. R. (2004). Barrier systems for waste disposal facilities, E & FN Spon, London.
Shackelford, C. D. (1994). “Critical concepts for column testing.” J. Geotech. Eng., 1804–1828.
Shackelford, C. D. (1995). “Analytical models for cumulative mass column testing.” Geoenvironment 2000, Geotechnical special publication 46, ASCE, Reston, VA, 355–372.
State Bureau of Technical Supervision. (1993). “Quality standard of ground water.” GB/T 14848-1993, Standards Press of China, Beijing.
van Genuchten, M. T., and Parker, J. C. (1984). “Boundary conditions for displacement experiments through short laboratory soil columns.” Soil Sci. Soc. Am. J., 48(4), 703–708.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 18Issue 5May 2018

History

Received: Jul 10, 2017
Accepted: Nov 2, 2017
Published online: Feb 22, 2018
Published in print: May 1, 2018
Discussion open until: Jul 22, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Guan-Nian Chen [email protected]
Ph.D. Candidate, MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Dept. of Civil Engineering, Zhejiang Univ., Hangzhou 310058, China. E-mail: [email protected]
Peter John Cleall [email protected]
Reader, Cardiff School of Engineering, Cardiff Univ., Cardiff CF24 3AA, Wales, U.K. E-mail: [email protected]
Professor, MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Dept. of Civil Engineering, Zhejiang Univ., Hangzhou 310058, China (corresponding author). E-mail: [email protected]
M.Sc. Student, MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Dept. of Civil Engineering, Zhejiang Univ., Hangzhou 310058, China. E-mail: [email protected]
Professor, MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Dept. of Civil Engineering, Zhejiang Univ., Hangzhou 310058, China. E-mail: [email protected]
Yun-Min Chen [email protected]
Professor, MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Dept. of Civil Engineering, Zhejiang Univ., Hangzhou 310058, China. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share