Technical Notes
Jan 8, 2018

Benchmark Problem for Large Strain Consolidation-Induced Solute Transport

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 144, Issue 3

Abstract

Consolidation-induced solute transport is an important process for a variety of engineering applications involving contaminated soil and other compressible porous media. This note presents a benchmark problem and numerical solutions for solute transport caused by one-dimensional consolidation of a saturated contaminated soil layer under large strain conditions. The solutions describe solute breakthrough and concentration profiles and can be used to check the accuracy of other analytical and numerical models. With regard to consolidation, the solutions account for vertical strain, soil self-weight, nonlinear constitutive relationships, and changing material properties during the consolidation process. With regard to solute transport, the solutions account for advection, diffusion, dispersion, and linear equilibrium sorption.

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Acknowledgments

Financial support for this investigation was provided by the National Natural Science Foundation of China (Grant No. 51678268), the Fundamental Research Funds for the Central Universities of China (Grant No. HUST-2016YXMS101), and the U.S. National Science Foundation (Grant Nos. CMMI-1001023, CMMI-0969346, and CMMI-1622781). This support is gratefully acknowledged. The opinions expressed in this paper are solely those of the authors and are not necessarily consistent with the policies or opinions of the funding agencies.

References

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.
Aydilek, A. H., Edil, T. B., and Fox, P. J. (2000). “Consolidation characteristics of wastewater sludge.” STP 1374, ASTM International, West Conshohocken, PA, 309–323.
Berilgen, S. A., Berilgen, M. M., and Ozaydin, K. I. (2006). “Assessment of consolidation behavior of Golden Horn marine dredged material.” Mar. Georesour. Geotechnol., 24(1), 1–16.
Bonin, M. D., Nuth, M., Dagenais, A.-M., and Cabral, A. R. (2014). “Experimental study and numerical reproduction of self-weight consolidation behavior of thickened tailings.” J. Geotech. Geoenviron. Eng., 04014068.
Brandenberg, S. J. (2016). “iConsol.js: JavaScript implicit finite-difference code for nonlinear consolidation and secondary compression.” Int. J. Geomech., 04016149.
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.” STP 1374, ASTM International, West Conshohocken, PA, 29–47.
Fox, P. J. (2007a). “Coupled large strain consolidation and solute transport. I: Model development.” J. Geotech. Geoenviron. Eng., 3–15.
Fox, P. J. (2007b). “Coupled large strain consolidation and solute transport. II: Model verification and simulation results.” J. Geotech. Geoenviron. Eng., 16–29.
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., Di Nicola, M., and Quigley, D. W. (2003). “Piecewise-linear model for large strain radial consolidation.” J. Geotech. Geoenviron. Eng., 940–950.
Fox, P. J., and Lee, J. (2008). “Model for consolidation-induced solute transport with nonlinear and nonequilibrium sorption.” Int. J. Geomech., 188–198.
Fox, P. J., and Pu, H. (2012). “Enhanced CS2 model for large strain consolidation.” Int. J. Geomech., 574–583.
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., 04014128.
Fox, P. J., and Pu, H. (2015). “Benchmark problems for large strain consolidation.” J. Geotech. Geoenviron. Eng., 06015008.
Fox, P. J., Pu, H., and Berles, J. D. (2014). “CS3: Large strain consolidation model for layered soils.” J. Geotech. Geoenviron. Eng., 04014041.
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.” Géotechnique, 17(3), 261–273.
Huang, L., Zhao, C.-G., Liu, Y., and Cai, G.-Q. (2012). “3D contaminant migration model with consolidation dependent transport coefficients.” Acta Mechanica Sinica, 28(1), 151–163.
Kwon, Y., Kazama, M., and Uzuoka, R. (2007). “Geotechnical hybrid simulation system for one-dimensional consolidation analysis.” Soils Found., 47(6), 1133–1140.
Lee, J., and Fox, P. J. (2005). “Efficiency of seepage consolidation for preparation of clay substrate for centrifuge testing.” Geotech. Test. J., 28(6), 577–585.
Lee, J., and Fox, P. J. (2009). “Investigation of consolidation-induced solute transport. II: Experimental and numerical results.” J. Geotech. Geoenviron. Eng., 1239–1253.
Lee, J., Fox, P. J., and Lenhart, J. J. (2009). “Investigation of consolidation-induced solute transport. I: Effect of consolidation on transport parameters.” J. Geotech. Geoenviron. Eng., 1228–1238.
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, Vol. 1, A.A. Balkema, Rotterdam, Netherlands, 163–173.
Lewis, T. W., Pivonka, P., and Smith, D. W. (2009). “Theoretical investigation of the effects of consolidation on contaminant transport through clay barriers.” Int. J. Numer. Anal. Methods Geomech., 33(1), 95–116.
Meric, D., Hellweger, F., Barbuto, S., Rahbar, N., Alshawabkeh, A. N., and Sheahan, T. C. (2013). “Model prediction of long-term reactive core mat efficacy for capping contaminated aquatic sediments.” J. Environ. Eng., 564–575.
Meric, D., Sheahan, T. C., Alshawabkeh, A., and Shine, J. (2010). “A consolidation and contaminant transport device for assessing reactive mat effectiveness for subaqueous sediment remediation.” Geotech. Test. J., 33(6), 423–433.
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.
Pu, H., Fox, J. P., and Shackelford, C. D. (2015). “Assessment of consolidation-induced contaminant transport for compacted clay liner systems.” J. Geotech. Geoenviron. Eng., 04015091.
Pu, H., and Fox, P. J. (2014). “Consolidation-induced solute transport for constant rate of strain. I: Model development and simulation results.” J. Geotech. Geoenviron. Eng., 04014127.
Pu, H., and Fox, P. J. (2016). “Model for coupled large strain consolidation and solute transport in layered soils.” Int. J. Geomech., 04015064.
Pu, H., Fox, P. J., and Liu, Y. (2013). “Model for large strain consolidation under constant rate of strain.” Int. J. Numer. Anal. Methods Geomech., 37(11), 1574–1590.
Pu, H., Shackelford, C. D., and Fox, J. P. (2016). “Assessment of consolidation-induced VOC transport for a GML/GCL composite liner system.” J. Geotech. Geoenviron. Eng., 04016053.
Shackelford, C. D. (1993). “Contaminant transport.” Chapter 3, Geotechnical practice for waste disposal, D. E. Daniel, ed., Chapman and Hall, London, 33–65.
Shackelford, C. D. (1994). “Waste-soil interactions that alter hydraulic conductivity.” STP 1142, ASTM, West Conshohoken, PA, 111–168.
Xie, H., Yan, H., Feng, S., Wang, Q., and Chen, P. (2016). “An analytical model for contaminant transport in landfill composite liners considering coupled effect of consolidation, diffusion, and degradation.” Environ. Sci. Pollut. Res., 23(19), 19362–19375.
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 Res., 40, 1–10.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 144Issue 3March 2018

History

Received: Nov 9, 2016
Accepted: Aug 4, 2017
Published online: Jan 8, 2018
Published in print: Mar 1, 2018
Discussion open until: Jun 8, 2018

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Authors

Affiliations

Hefu Pu, A.M.ASCE [email protected]
Professor, Institute of Geotechnical and Underground Engineering, Huazhong Univ. of Science and Technology, Wuhan, Hubei 430074, China (corresponding author). E-mail: [email protected]; [email protected]
Patrick J. Fox, F.ASCE [email protected]
Shaw Professor and Head, Dept. of Civil and Environmental Engineering, Pennsylvania State Univ., University Park, PA 16802. E-mail: [email protected]
Charles D. Shackelford, F.ASCE [email protected]
Professor and Head, Dept. of Civil and Environmental Engineering, Colorado State Univ., Fort Collins, CO 80523. E-mail: [email protected]

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