Analytical Solution for the Consolidation Process of a Stone-Column Reinforced Foundation under Partially Drained Boundaries
Publication: International Journal of Geomechanics
Volume 18, Issue 1
Abstract
The consolidation process of a stone-column reinforced foundation under partially drained boundaries was investigated on the basis of a newly developed consolidation theory. An analytical solution was created using a separation of variables technique and the theory of an eigenvalue problem. In this paper, a solution from the literature was referenced as a special case of the solution. Computational examples are presented and discussed. In the situation of a sand blanket layer on the top of the foundation, the solution that assumes a completely pervious top boundary tends to overestimate the consolidation speed, and the solution presented in this paper is more suitable for a calculation under this condition. The study on the consolidation process of the foundation under partially drained boundaries shows that the consolidation process is more rapid if the disturbance to the surrounding soil during the installation of the stone column is relatively less pronounced; choosing a stone column with a high oedometric modulus is advantageous for the consolidation of the foundation. Finally, the sensitivity to the effects of the variation of different parameters on the consolidation process was also analyzed.
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Acknowledgments
This research was supported by the Fundamental Research Funds for the Central Universities (Grant 2015XKMS014).
References
Balaam, N. P., and Booker, J. R. (1981). “Analysis of rigid rafts supported by granular piles.” Int. J. Numer. Anal. Methods Geomech.,5(4), 379–403.
Bandini, P., and Sathiskumar, S. (2009). “Effects of silt content and void ratio on the saturated hydraulic conductivity and compressibility of sand-silt mixtures.” J. Geotech. Geoenviron. Eng., 1976–1980.
Barksdale, R. D. (1987). “Applications of the state of the art of stone columns—liquefaction, local bearing failure, and example calculations.” Technical Rep. REMR-GT-7.Georgia Institute of Technology and U.S. Army Waterways Experiment Station,Vicksburg, MS.
Ben Salem, Z., Frikha, W., and Bouassida, M. (2016). “Effect of granular-column installation on excess pore pressure variation during soil liquefaction.” Int. J. Geomech., 04015046.
Castro, J., and Sagaseta, C. (2009). “Consolidation around stone columns. Influence of column deformation.” Int. J. Numer. Anal. Methods Geomech.,33(7), 851–877.
Castro, J., and Sagaseta, C. (2011). “Deformation and consolidation around encased stone columns.” Geotext. Geomembr.,29(3), 268–276.
Fessi, Z. G., and Bouassida, M. (2005). “Settlement estimation of soils reinforced by columns using a poroelastic model.” Proc., 16th Int. Conf., Soil Mechanics and Geotechnical Engineering,IOS,Amsterdam, Netherlands, 1355–1358.
Gray, H. (1945). Simultaneous consolidation of contiguous layers of unlike compressible soils,ASCE,New York.
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.
Indraratna, B., Basack, S., and Rujikiatkamjorn, C. (2013). “Numerical solution of stone column–improved soft soil considering arching, clogging, and smear effects.” J. Geotech. Geoenviron. Eng., 377–394.
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.
Mesri, G. (1973). “One-dimensional consolidation of a clay layer with impeded drainage boundaries.” Water Resour. Res.,9(4), 1090–1093.
Özişik, M. N. (1993). Heat conduction, 2nd Ed.,John Wiley & Sons,New York.
Sun, J., Xie, X.-Y., and Xie, K.-H. (2007). “Analytical theory for consolidation of double-layered composite ground under impeded boundaries.” J. Zhejiang Univ. Eng. Sci.,41(9), 1467–1471 (in Chinese).
Walker, R., and Indraratna, B. (2006). “Vertical drain consolidation with parabolic distribution of permeability in smear zone.” J. Geotech. Geoenviron. Eng., 937–941.
Xie, K.-H., Xie, X.-Y., and Gao, X. (1999). “Theory of one dimensional consolidation of two-layered soil with partially drained boundaries.” Comput. Geotech.,24(4), 265–278.
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© 2017 American Society of Civil Engineers.
History
Received: Mar 24, 2017
Accepted: Aug 4, 2017
Published online: Nov 3, 2017
Published in print: Jan 1, 2018
Discussion open until: Apr 3, 2018
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