TECHNICAL PAPERS
May 1, 2008

Model for Consolidation-Induced Solute Transport with Nonlinear and Nonequilibrium Sorption

Publication: International Journal of Geomechanics
Volume 8, Issue 3

Abstract

A numerical model, called CST2, is presented for coupled large strain consolidation and solute transport in saturated porous media. The consolidation and solute transport algorithms include the capabilities of a previous model, CST1, with the addition of a variable effective diffusion coefficient during consolidation and nonlinear nonequilibrium sorption. The model is based on a dual-Lagrangian framework that tracks separately the motions of fluid and solid phases. Verification checks of CST2 show excellent agreement with analytical and numerical solutions for solute transport in rigid porous media. A parametric study illustrates that, for the test cases considered, variation of effective diffusion coefficient during consolidation has an important effect on solute transport, whereas nonlinearity of the sorption isotherm has a less important effect. Additional simulations show that nonequilibrium sorption can have a strong effect on consolidation-induced solute transport and that this effect becomes more important as the rate of consolidation increases. The simulations also corroborate previous findings that consolidation can have 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 by the U.S. National Oceanic and Atmospheric Administration through the Ohio Sea Grant College Program. This support is gratefully acknowledged. The writers also thank Dr. John J. Lenhart, Assistant Professor in the Department of Civil & Environmental Engineering & Geodetic Science at The Ohio State University, for several discussions regarding nonlinear and nonequilibrium sorption in rigid porous media.

References

Alshawabkeh, A. N., and Rahbar, N. (2006). “Parametric study of one-dimensional solute transport in deformable porous media.” J. Geotech. Geoenviron. Eng., 132(8), 1001–1010.
Alshawabkeh, A. N., Rahbar, N., and Sheahan, T. (2005). “A model for contaminant mass flux in capped sediment under consolidation.”J. Contam. Hydrol., 78(3), 147–165.
Fox, P. J. (1996). “Analysis of hydraulic gradient effects for laboratory hydraulic conductivity testing.” Geotech. Test. J., 19(2), 181–190.
Fox, P. J. (2007a). “Coupled large strain consolidation and solute transport. I: Model development.” J. Geotech. Geoenviron. Eng., 133(1), 3–15.
Fox, P. J. (2007b). “Coupled large strain consolidation and solute transport. II: Model verification and simulation results.” J. Geotech. Geoenviron. Eng., 133(1), 16–29.
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.
Lee, J. (2007). “Experimental and numerical investigation of consolidation-induced solute transport.” Ph.D. dissertation, Ohio State Univ., Columbus, Ohio.
Leij, F. J., and van Genuchten, M. T. (1995). “Approximate analytical solutions for solute transport in two-layer porous media.” Transp. Porous Media, 18(1), 65–85.
Lerman, A. (1978). “Chemical exchange across sediment-water interface.” Annu. Rev. Earth Planet Sci., 6, 281–303.
Lo, I. M. C., Zhang, J., Hu, L., and Shu, S. (2003). “Effect of soil stress on cadmium transport in saturated soils.” Pract. Period. Hazard. Toxic Radioact. Waste Manage., 7(3), 170–176.
Manheim, F. T. (1970). “The diffusion of ions in unconsolidated sediments.” Earth Planet. Sci. Lett., 9(4), 307–309.
Mazzieri, F., Van Impe, P. O., Van Impe, W. F., and Constales, D. (2002). “Effect of consolidation on contaminant transport parameters of compacted clays.” Proc., 4th Int. Congress on Environmental Geotechnics, L. G. de Mello and M. Almeida, eds., Vol. 1, Rio De Janeiro, Brazil, 183–188.
Oddson, J. K., Letey, J., and Weeks, L. V. (1970). “Predicted distribution of organic chemicals in solution and adsorbed as a function of position and time for various chemical and soil properties.” Soil Sci. Soc. Am. Proc., 34(3), 412–417.
Peters, G. P., and Smith, D. W. (1998). “One-dimensional contaminant transport through a consolidating soil: Application to contaminant transport through a geocomposite liner.” Proc., Biot Conf. on Poromechanics, J.-F. Thimus, Y. Abousleiman, A. H.-D. Cheng, O. Coussy, and E. Detournay, eds., Louvain, Belgium, 481–486.
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.
Potter, L. J., Savvidou, C., and Gibson, R. E. (1994). “Consolidation and pollutant transport associated with slurried mineral waste disposal.” Proc., 1st Int. Congress on Environmental Geotechnics, W. D. Carrier, III, ed., Edmonton, Alta., Canada, 525–530.
Shackelford, C. D., and Daniel, D. E. (1991). “Diffusion in saturated soil. II: Results for compacted clay.” J. Geotech. Engrg., 117(3), 485–506.
Simunek, J., van Genuchten, M. T., and Sejna, M. (2005). The HYDRUS-1D 3.0 software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media, Dept. of Environmental Sciences, Univ. of California, Riverside, Riverside, Calif.
Travis, C. C., and Etnier, E. L. (1981). “A survey of sorption relationships for reactive solutes in soil.” J. Environ. Qual., 10(1), 8–17.
Zhou, L., and Selim, H. M. (2001). “Solute transport in layered soils: Nonlinear and kinetic reactivity.” Soil Sci. Soc. Am. J., 65(4), 1056–1064.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 8Issue 3May 2008
Pages: 188 - 198

History

Received: Apr 11, 2007
Accepted: Aug 28, 2007
Published online: May 1, 2008
Published in print: May 2008

Permissions

Request permissions for this article.

Authors

Affiliations

Patrick J. Fox
Professor, Dept. of Civil and Environmental Engineering and Geodetic Science, Ohio State Univ., Columbus, OH 43210 (corresponding author). E-mail: [email protected]
Jangguen Lee
Graduate Research Assistant, Dept. of Civil and Environmental Engineering and Geodetic Science, Ohio State Univ., Columbus, OH 43210.

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