Analytical Solution for the Consolidation Behavior of Deep Cement Mixed Column–Improved Ground
Publication: International Journal of Geomechanics
Volume 17, Issue 9
Abstract
This paper presents an analytical solution for the consolidation behavior of deep cement mixed (DCM) column–improved ground on the basis of the equal strain condition. The proposed analytical solution accounted for the vertical permeability and rigidity of DCM columns and natural soil, stress transfer, and radial drainage. The solution was based on the theory of one-dimensional consolidation along with the equivalent vertical permeability and coefficient of consolidation. The analytical solution was first derived assuming equal permeability in both DCM columns and surrounding soil and then modified to include the radial drainage effects for the case with different permeabilities in DCM columns and natural soil. The performance of the proposed analytical solution was compared with the numerical simulations on the basis of FEM and an analytical solution found in the literature for the DCM column–improved ground. The proposed analytical model was also verified using physical model test results found in the literature for DCM column–improved soft Bangkok clay. The composite coefficient of consolidation of DCM column–improved ground can be predicted within approximately 5% error using the present analytical model.
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References
Abaqus [Computer software]. SIMULIA, Providence, RI.
Castro, J., and Sagaseta, C. (2009). “Consolidation around stone columns: Influence of column deformation.” Int. J. Numer. Anal. Methods Geomech., 33(7), 851–877.
Chai, J. C., Shen, S. L., Miura, N., and Bergado, D. T. (2001). “Simple method of modeling PVD-improved subsoil.” J. Geotech. Geoenviron. Eng., 965–972.
Chai, J., Onitsuka, K., and Hayashi, S. (2006). “Discussion: Physical modelling of consolidation behaviour of a composite foundation consisting of a cement-mixed soil column and untreated soft marine clay.” Géotechnique, 56(8), 579–582.
Chai, J., and Pongsivasathit, S. (2010). “A method for predicting consolidation settlements of floating column improved clayey subsoil.” Front. Archi. Civil Eng. China, 4(2), 241–251.
Chai, J. C., Miura, N., Sakajo, S., and Bergado, D. T. (1995). “Behavior of vertical drain improved subsoil under embankment loading.” Soils Found., 35(4), 49–61.
Fellenius, B. H. (1981). “Consolidation of clay by band-shaped prefabricated drains.” Ground Eng., 12(5), 16–25.
Han, J., and Ye, S. L. (2001). “Simplified method for consolidation rate of stone column reinforced foundations.” J. Geotech. Geoenviron. Eng., 597–603.
Han, J., and Ye, S. L. (2002). “A theoretical solution for consolidation rates of stone column–reinforced foundations accounting for smear and well resistance effects.” Int. J. Geomech., 135–151.
Hansbo, S., Jamiolkowski, M., and Kok, L. (1981). “Consolidation by vertical drains.” Géotechnique, 31(1), 45–66.
Horpibulsuk, S., Chinkulkijniwat, A., Cholphatsorn, A., Suebsuk, J., and Liu, M. D. (2012). “Consolidation behavior of soil–cement column improved ground.” Comput. Geotech., 43, 37–50.
Jiang, Y., Han, J., and Zheng, G. (2013). “Numerical analysis of consolidation of soft soils fully-penetrated by deep-mixed columns.” KSCE J Civ. Eng., 17(1), 96–105.
Lai, Y., Bergado, D. T., Lorenzo, G. A., and Duangchan, T. (2006). “Full-scale reinforced embankment on deep jet mixing improved ground.” Proc. Inst. Civ. Eng. Ground Improv., 10(4), 153–164.
Lorenzo, G. A., and Bergado, D. T. (2003a). “Fundamentals of high water content deep mixing piles.” Proc., Int. Symp. 2003 on Soil/Ground Improvement and Geosynthetics in Waste Containment and Erosion Control Applications, Asian Institute of Technology, Bangkok, Thailand.
Lorenzo, G. A., and Bergado, D. T. (2003b). “New consolidation equation for soil cement pile improved ground.” Can. Geotech. J., 40(2), 265–275.
Lorenzo, G. A., and Bergado, D. T. (2006). “Fundamental characteristics of cement-admixed clay in deep mixing.” J. Mater. Civ. Eng., 18(2), 161–174.
Lu, M. M., Xie, K. H., and Guo, B. (2010). “Consolidation theory for a composite foundation considering radial and vertical flows within the column and the variation of soil permeability within the disturbed soil zone.” Can. Geotech. J., 47(2), 207–217.
Lu, M., Wang, S., Sloan, S. W., Indraratna, B., and Xie, K. (2015). “Nonlinear radial consolidation of vertical drains under a general time‐variable loading.” Int. J. Numer. Anal. Methods Geomech., 39(1), 51–62.
Miao, L., Wang, X., and Kavazanjian E., Jr. (2008). “Consolidation of a double-layered compressible foundation partially penetrated by deep mixed columns.” J. Geotech. Geoenviron. Eng., 1210–1214.
Pulko, B., and Majes, B. (2006). “Analytical method for the analysis of stone-columns according to the Rowe dilatancy theory.” Acta Geotech. Slovenica, 3(1), 37–45.
Seah, T. H., and Koslanant, S. (2003). “Anisotropic consolidation behavior of soft Bangkok clay.” Geotech. Test. J., 26(3).
Terzaghi, K. (1943). Theoretical soil mechanics, Wiley, New York.
Wijerathna, M., Liyanapathirana, D. S., and Leo, C. (2016). “Consolidation behaviour of deep cement mixed column improved ground during breakage of soil-cement structure.” Aust. Geomech. J., 51(2), 35–42.
Xie, K. H., Lu, M. M., Hu, A. F., and Chen, G. H. (2009a). “A general theoretical solution for the consolidation of a composite foundation.” Comput. Geotech., 36(1), 24–30.
Xie, K. H., Lu, M. M., and Liu, G. B. (2009b). “Equal strain consolidation for stone columns reinforced foundation.” Int. J. Numer. Anal. Methods Geomech., 33(15), 1721–1735.
Yapage, N. N. S., Liyanapathirana, D. S., Poulos, H. G., Kelly, R. B., and Leo, C. J. (2013). “Numerical modeling of geotextile-reinforced embankments over deep cement mixed columns incorporating strain-softening behavior of columns.” Int. J. Geomech., 04014047.
Yin, J., and Fang, Z. (2006). “Physical modelling of consolidation behaviour of a composite foundation consisting of a cement-mixed soil column and untreated soft marine clay.” Géotechnique, 56(1), 63–68.
Yoshikuni, H., and Nakanodo, H. (1974). “Consolidation of soils by vertical drain wells with finite permeability.” Soils Found., 14(2), 35–46.
Zhang, Y., Chan, D., and Wang, Y. (2012). “Consolidation of composite foundation improved by geosynthetic-encased stone columns.” Geotext. Geomembr., 32, 10–17.
Zhang, Y., Xie, K., and Wang, Z. (2006). “Consolidation analysis of composite ground improved by granular columns considering variation of permeability coefficient of soil.” GeoShangai 2006: Ground Modification and Seismic Mitigation, Geotechnical Special Publication, 152, A. Porbaha, S-L. Shen, J. Wartman, and J-C Chai, eds., ASCE, Reston, VA, 135.
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Published In
International Journal of Geomechanics
Volume 17 • Issue 9 • September 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Apr 4, 2016
Accepted: Mar 8, 2017
Published online: Jun 5, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 5, 2017
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