Analytical Model for Transport of Dilute Colloidal Silica Dispersions through Porous Media
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VIEW THE REPLYPublication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 144, Issue 11
Abstract
The purpose of this paper is to present a simple analytical model to describe the flow of a dilute colloidal silica dispersion through a porous medium column. The model presents the movement with time of the interface between the dispersion and the water it displaces, the velocity of the interface, and the time-varying discharge through the medium. The effects of both viscosity difference and density difference of the displacing dispersion are included. Results of the model compare favorably with measurements of flow through sand columns 0.914 and 3.05 m long. The viscosities of the dispersions were approximately twice those of the water they displaced and the density was about 8.3% higher. The model is expanded by using a numerical scheme to predict the interface velocity for dispersions having linear and exponential time-varying viscosities.
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Acknowledgments
The authors wish to thank the anonymous reviewer of an earlier version of this paper who pointed out the relative importance of the density difference between the colloidal dispersion and the water it displaces. The critique resulted in significant modification of the paper to include density differences in addition to viscosity differences.
References
Bolisetti, T., and S. Reitsma. 2003. “Numerical simulation of chemical grouting in heterogeneous porous media.” Geotech. Spec. Publ. 120 (2): 1507–1517. https://doi.org/10.1061/40663(2003)123.
Bruch, J. C., Jr. 1970. “Two-dimensional dispersion experiments in a porous medium.” Water Resour. Res. 6 (3): 791–800. https://doi.org/10.1029/WR006i003p00791.
Conlee, C. T., P. M. Gallagher, R. W. Boulanger, and R. Kamai. 2012. “Centrifuge modeling for liquefaction mitigation using colloidal silica stabilizer.” J. Geotech. Geoenviron. Eng. 138 (11): 1334–1345. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000703.
CPGE (Center for Petroleum and Geosystems Engineering). 2000. Technical documentation for UTCHEM-9.0, a three-dimensional chemical flood simulator. Austin, TX: Reservoir Engineering Research Program, CPGE, Univ. of Texas at Austin.
Finsterle, S., G. J. Moridis, K. Pruess, and P. Persoff. 1994. Physical barriers formed from gelling liquids: 1. Numerical design of laboratory and field experiments. Berkeley, CA: Lawrence Berkeley National Laboratory.
Gallagher, P. M. 2000. “Passive soil stabilization for mitigation of liquefaction risk.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Virginia Tech.
Gallagher, P. M., C. T. Conlee, and K. M. Rollins. 2007. “Full-scale field testing of colloidal silica grouting for mitigation of liquefaction risk.” J. Geotech. Geoenviron. Eng. 133 (2): 186–196. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:2(186).
Gallagher, P. M., and S. Finsterle. 2004. “Physical and numerical model of colloidal silica injection for passive site stabilization.” Vadose Zone J. 3 (3): 917–925. https://doi.org/10.2136/vzj2004.0917.
Gallagher, P. M., and Y. Lin. 2005. “Column testing to determine colloidal silica transport mechanisms.” In Proc., Geo-Frontiers Congress 2005: Innovations in Grouting and Soil Improvement. Reston, VA: ASCE.
Gallagher, P. M., and Y. Lin. 2009. “Colloidal silica transport through liquefiable porous media.” J. Geotech. Geoenviron. Eng. 135 (11): 1702–1712. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000123.
Gallagher, P. M., and J. K. Mitchell. 2002. “Influence of colloidal silica grout on liquefaction potential and cyclic undrained behavior of loose sand.” Soil Dyn. Earthquake Eng. 22 (9–12): 1017–1026. https://doi.org/10.1016/S0267-7261(02)00126-4.
Garnier, J., C. Gaudin, S. M. Springman, P. J. Culligan, D. J. Goodings, D. Konig, B. L. Kutter, R. Phillips, M. F. Randolph, and L. Thorel. 2007. “Catalogue of scaling laws and similitude questions in geotechnical centrifuge modeling.” Int. J. Phys. Modell. Geotech. 7 (3): 1–23. https://doi.org/10.1680/ijpmg.2007.070301.
Hamderi, M., P. M. Gallagher, and Y. Lin. 2014. “Numerical model for colloidal silica injected column tests.” Vadose Zone J. 13 (2): 143–153. https://doi.org/10.2136/vzj2013.07.0138.
Higgo, J. J. W., G. M. Williams, I. Harrison, P. Warwick, M. P. Gardiner, and G. Longworth. 1993. “Colloid transport in a glacial sand aquifer: Laboratory and field studies.” Colloids Surf. A 73: 179–200. https://doi.org/10.1016/0927-7757(93)80015-7.
Honma, S. 1984. “Finite element analysis of the injection and distribution of chemical grout in soils.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Wisconsin-Milwaukee.
Iler, R. K. 1979. The chemistry of silica: Solubility, polymerization, colloid and surface properties. New York: Wiley.
Johnson, P. R., N. Sun, and M. Elimelech. 1996. “Colloid transport in geochemically heterogeneous porous media: Modeling and measurements.” Environ. Sci. Technol. 30 (11): 3284–3293. https://doi.org/10.1021/es960053+.
Kim, M., and M. Y. Corapcioglu. 2002a. “Gel barrier formation in unsaturated porous media.” J. Contam. Hydrol. 56 (1–2): 75–98. https://doi.org/10.1016/S0169-7722(01)00204-2.
Kim, M., and M. Y. Corapcioglu. 2002b. “Modeling of gel barrier formation by using horizontal wells.” J. Environ. Eng. 128 (10): 929–941. https://doi.org/10.1061/(ASCE)0733-9372(2002)128:10(929).
Koch, A. J. 2002. “Model testing of passive site stabilization.” M.S. thesis, Dept. of Civil, Architectural and Environmental Engineering, Drexel Univ.
Lin, Y. 2006. “Colloidal silica transport mechanisms for passive site stabilization of liquefiable soils.” Ph.D. dissertation, Dept. of Civil, Architectural and Environmental Engineering, Drexel Univ.
McCartney, J. S., C. Nogueira, D. Homes, and J. G. Zornberg. 2011. “Formation of secondary containment systems using permeation of colloidal silica.” J. Environ. Eng. 137 (6): 444–453. https://doi.org/10.1061/(ASCE)EE.1943-7870.0000345.
Moridis, G. J., J. Apps, P. Persoff, L. Myer, S. Muller, K. Pruess, and P. Yen. 1996. “A field test of a waste containment technology using a new generation of injectable barrier liquids.” In Proc., Spectrum '96. Seattle, WA.
Noll, M. R., D. E. Epps, C. L. Bartlett, and P. J. Chen. 1993. “Pilot field application of a colloidal silica gel technology for in situ hot spot stabilization and horizontal grouting.” In Proc., 7th National Outdoor Action Conf., 207–219. Dublin, OH: National Ground Water Association.
Pamuk, A., P. M. Gallagher, and K. Adalier. 2014. “Soil grouting as seismic liquefaction countermeasure.” Adv. Mater. Res. 1025: 1035–1040. https://doi.org/10.4028/www.scientific.net/AMR.1025-1026.1035.
Ryan, J. N., M. Elimelech, R. A. Ard, R. W. Harvey, and P. R. Jonson. 1999. “Bateriophage PRD1 and silica colloid transport and recovery in an iron oxide-coated sand aquifer.” Environ. Sci. Technol. 33 (1): 63–73. https://doi.org/10.1021/es980350+.
Saiers, J. E., G. M. Hornberger, and C. Harvey. 1994. “Colloidal silica transport through structured, heterogenous porous media.” J. Hydrol. (Amst.) 163 (3–4): 271–288. https://doi.org/10.1016/0022-1694(94)90144-9.
Scheidegger, A. E. 1960. The physics of flow through porous media. New York: Macmillan.
Šimunek, J., C. He, L. Pang, and S. A. Bradford. 2006. “Colloid-facilitated transport in variably-saturated porous media: Numerical model and experimental verification.” Vadose Zone J. 5 (3): 1035–1047. https://doi.org/10.2136/vzj2005.0151.
Šimunek, J., M. T. van Genuchten, and M. Šejna. 2008. “Development and applications of the HYDRUS and STANMOD software packages, and related codes.” Vadose Zone J. 7 (2): 587–600. https://doi.org/10.2136/vzj2007.0077.
Towhata, I. 2008. Geotechnical earthquake engineering. Berlin: Springer-Verlag.
Whang, J. M. 1995. “Section 9: Chemical-based barrier materials.” In Assessment of barrier containment technologies for environmental remediation applications, edited by R. R. Rumer, and J. K. Mitchell, 211–247. Springfield, VA: National Technical Information Service (NTIS).
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 144 • Issue 11 • November 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jan 25, 2018
Accepted: May 17, 2018
Published online: Aug 31, 2018
Published in print: Nov 1, 2018
Discussion open until: Jan 31, 2019
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