Technical Paper
Oct 2, 2015

Model for Coupled Large Strain Consolidation and Solute Transport in Layered Soils

Publication: International Journal of Geomechanics
Volume 16, Issue 2

Abstract

A numerical model, called CST3 (Consolidation and Solute Transport 3), is presented for coupled one-dimensional large strain consolidation and solute transport in layered soils. The consolidation algorithm accounts for vertical strain, soil self-weight, general constitutive relationships, relative velocity of fluid and solid phases, changing compressibility and hydraulic conductivity during consolidation, unload/reload, time-dependent loading and boundary conditions, external hydraulic gradient, variable preconsolidation stress profiles, and multiple soil layers with different material properties. The solute transport algorithm accounts for advection, diffusion, mechanical dispersion, linear and nonlinear sorption, equilibrium and nonequilibrium sorption, porosity-dependent effective diffusion coefficient, and first-order decay reactions. CST3 is based on a dual-Lagrangian framework that separately tracks the motions of fluid and solid phases. The development of CST3 is first described, followed by verification checks. Numerical simulations indicate that layered soil heterogeneity and preconsolidation stress can have important effects on consolidation-induced solute transport behavior. Failure to correctly account for soil heterogeneity or preconsolidation stress profile can lead to significant errors in the analysis of consolidation and solute transport in layered soils.

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 Grant numbers CMMI-1001023 and CMMI-1363230 from the U.S. National Science Foundation. This support is gratefully acknowledged.

References

Al-Tabbaa, A., and Wood, D. M. (1987). “Some measurements of the permeability of kaolin.” Gèotechnique, 37(4), 499–503.
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, West Conshohocken, PA, 29–47.
Fox, P. J. (2007a). “Coupled large strain consolidation and solute transport. I: Model development.” J. Geotech. Geoenviron. Eng., 10.1061/(ASCE)1090-0241(2007)133:1(3), 3–15.https://doi.org/10.1061/(ASCE)1090-0241(2007)133:1(3)
Fox, P. J. (2007b). “Coupled large strain consolidation and solute transport. II: Model verification and simulation results.” J. Geotech. Geoenviron. Eng., 10.1061/(ASCE)1090-0241(2007)133:1(16), 16–29.https://doi.org/10.1061/(ASCE)1090-0241(2007)133:1(16)
Fox, P. J., and Berles, J. D. (1997). “CS2: A piecewise-linear model for large strain consolidation.” Int. J. Numer. Anal. Methods Geomech., 21(7), 453–475.
Fox, P. J., and Lee, J. (2008). “Model for consolidation-induced solute transport with nonlinear and nonequilibrium sorption.” Int. J. Geomech., 10.1061/(ASCE)1532-3641(2008)8:3(188), 188–198.https://doi.org/10.1061/(ASCE)1532-3641(2008)8:3(188)
Fox, P. J., and Pu, H. (2012). “Enhanced CS2 model for large strain consolidation.” Int. J. Geomech., 10.1061/(ASCE)GM.1943-5622.0000171, 574–583.https://doi.org/10.1061/(ASCE)GM.1943-5622.0000171
Fox, P. J., and Pu, H. (2014). “Consolidation-induced solute transport for constant rate of strain. II: Comparison with incremental loading.” J. Geotech. Geoenviron. Eng., 10.1061/(ASCE)GT.1943-5606.0001265, 04014128.https://doi.org/10.1061/%28ASCE%29GT.1943-5606.0001265
Fox, P. J., Pu, H., and Berles, J. D. (2014). “CS3: Large strain consolidation model for layered soils.” J. Geotech. Geoenviron. Eng., 10.1061/(ASCE)GT.1943-5606.0001128, 04014041.https://doi.org/10.1061/(ASCE)GT.1943-5606.0001128
Fox, P. J., and Shackelford, C. D. (2010). “State-of-the-art: Consolidation-induced contaminant transport for high water content geo-materials.” GeoFlorida 2010: Advances in analysis, modeling and design, Geotechnical special publication 199, D. Fratta, A. J. Puppala, and B. Muhunthan, eds., ASCE, Reston, VA, 129–138.
Gibson, R. E., England, G. L., and Hussey, M. J. L. (1967). “The theory of one-dimensional consolidation of saturated clays, I. Finite non-linear consolidation of thin homogeneous layers.” Gèotechnique, 17(3), 261–273.
Gibson, R. E., Potter, L. J., Savvidou, C., and Schiffman, R. L. (1995). “Some aspects of one-dimensional consolidation and contaminant transport in wastes.” Proc., Int. Symp. on Compression and Consolidation of Clayey Soils, H. Yoshikuni and O. Kusakabe, eds., Balkema, Rotterdam, Netherlands, 815–845.
Lee, K., and Sills, G. C. (1979). “A moving boundary approach to large strain consolidation of a thin soil layer.” Proc., 3rd Int. Conf. on Numerical Methods in Geomechanics, Balkema, Rotterdam, Netherlands, 163–173.
Leij, F. J., Dane, J. H., and van Genuchten, M. T. (1991). “Mathematical analysis of one-dimensional solute transport in a layered soil profile.” Soil Sci. Soc. Am. J., 55(4), 944–953.
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.
Li, Y.-C., and Cleall, P. J. (2011). “Analytical solutions for advective-dispersive solute transport in double-layered finite porous media.” Int. J. Numer. Anal. Methods Geomech., 35(3), 438–460.
Liu, C., Ball, W. P., and Ellis, J. H. (1998). “An analytical solution to the one-dimensional solute advection-dispersion equation in multi-layer porous media.” Transp. Porous Media, 30(1), 25–43.
Nagaraj, T. S., Pandian, N. S., and Narasimha Raju, P. S. R. (1994). “Stress-state–permeability relations for overconsolidated clays.” Gèotechnique, 44(2), 349–352.
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., Biotechnical Conf. on Poromechanics, J.-F. Thimus, Y. Abousleiman, A. H.-D. Cheng, O. Coussy, and E. Detournay, eds., Balkema, Rotterdam, Netherlands, 481–486.
Peters, G. P., and Smith, D. W. (2002). “Solute transport through a deforming porous medium.” Int. J. Numer. Anal. Methods 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., BiTech Publishers, Ltd., Edmonton, AB, Canada, 525–530.
Pu, H., and Fox, P. J. (2014). “Consolidation-induced solute transport for constant rate of strain. I: Model development and numerical results.” J. Geotech. Geoenviron. Eng., 10.1061/(ASCE)GT.1943-5606.0001171, 04014127.https://doi.org/10.1061/(ASCE)GT.1943-5606.0001171
Pu, H., Fox, P. J., and Shackelford, C. D. (2015). “Contaminant transport through GML/CCL bottom liner with consideration of consolidation effects.” Proc., of Geosynthetics 2015, Industrial Fabrics Association International, Roseville, MN, 404–410.
Schiffman, R. L., Pane, V., and Gibson, R. E. (1984). “The theory of one-dimensional consolidation of saturated clays. IV. An overview of nonlinear finite strain sedimentation and consolidation.” Proc., Symp. on Sedimentation/Consolidation Models: Prediction and Validation, R. N. Yong and F. C. Townsend, eds., ASCE, Reston, VA, 1–29.
Schiffman, R. L., and Stein, J. R. (1970). “One-dimensional consolidation of layered systems.” J. Soil Mech. Found. Div., 96(SM4), 1499–1504.
Smith, D. W. (1997). “One-dimensional contaminant transport through a deforming porous media: Theory and solution for a quasi-steady state problem.” Research Rep. No. 150.08.1997, Dept. of Civil, Surveying, and Environmental Engineering, Univ. of Newcastle, Callaghan, Australia.
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. Anal. Methods Geomech., 24(8), 693–722.
Tavenas, F., Jean, P., Leblond, P., and Leroueil, S. (1983). “The permeability of natural soft clays. Part II: Permeability characteristics.” Can. Geotech. J., 20(4), 645–660.
Travis, C. C., and Etnier, E. L. (1981). “A survey of sorption relationships for reactive solutes in soil.” J. Environ. Quality, 10(1), 8–17.
Yeung, A., and Mitchell, J. K. (1993). “Coupled fluid, electrical, and chemical flows in soil.” Gèotechnique, 43(1), 121–134.
Zhan, H., Wen, Z., and Gao, G. (2009a). “An analytical solution of two-dimensional reactive solute transport in an aquifer-aquitard system.” Water Resour. Res., 45(10), W10501.
Zhan, H., Wen, Z., Huang, G., and Sun, D. (2009b). “Analytical solution of two-dimensional solute transport in an aquifer-aquitard system.” J. Contam. Hydrol., 107(3–4), 162–174.
Zhang, H. J., Jeng, D.-S., Barry, D. A., Seymour, B. R., and Li, L. (2013). “Solute transport in nearly saturated porous media under landfill clay liners: A finite deformation approach.” J. Hydrol., 479, 189–199.
Zhang, H. J., Jeng, D.-S., Seymour, B. R., Barry, D. A., and Li, L. (2012). “Solute transport in partially saturated deformable porous media: Application to a landfill clay liner.” Adv. Water Resour., 40, 1–10.
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 16Issue 2April 2016

History

Received: Sep 9, 2014
Accepted: Apr 21, 2015
Published online: Oct 2, 2015
Discussion open until: Mar 2, 2016
Published in print: Apr 1, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Hefu Pu, A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil, Architectural and Environmental Engineering, Missouri Univ. of Science & Technology, Rolla, MO 65409 (corresponding author). E-mail: [email protected]
Patrick J. Fox, F.ASCE [email protected]
Professor, Dept. of Structural Engineering, Univ. of California, San Diego, La Jolla, CA 92093. 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