Analytical and Numerical Modeling of Consolidation by Vertical Drain beneath a Circular Embankment
Publication: International Journal of Geomechanics
Volume 8, Issue 3
Abstract
In the analysis of axisymmetric problems, it is often imperative that aspects of geometry, material properties, and loading characteristics are either maintained as constants or represented by continuous functions in the circumferential direction. In the case of radial consolidation beneath a circular embankment by vertical drains (i.e., circular oil tanks or silos), the discrete system of vertical drains can be substituted by continuous concentric rings of equivalent drain walls. An equivalent value for the coefficient of permeability of the soil is obtained by matching the degree of consolidation of a unit cell model. A rigorous solution to the continuity equation of radial drainage towards cylindrical drain walls is presented and verified by comparing its results with the existing unit cell model. The proposed model is then adopted to analyze the consolidation process by vertical drains at the Skå-Edeby circular test embankment (Area II). The calculated values of settlement, lateral displacement, and excess pore-water pressure indicate good agreement with the field measurements.
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Acknowledgments
The second writer gratefully acknowledges financial support under the Endeavour program, Department of Educational, Science and Training, Australia.
References
Barron, R. A. (1948). “Consolidation of fine-grained soils by drain wells.” Trans. Am. Soc. Civ. Eng., 113, 718–754.
Chai, J. C., Shen, S. L., Miura, N., and Bergado, D. T. (2001). “Simple method of modelling PVD-improved subsoil.” J. Geotech. Geoenviron. Eng., 127(11), 965–972.
Hansbo, S. (1960). “Consolidation of clay with special reference to influence of vertical sand drains.” Proc., No. 18, Swedish Geotechnical Institute, Stockholm, Sweden.
Hansbo, S. (1981). “Consolidation of fine-grained soils by prefabricated drains.” Proc., 10th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 3, Balkema, Rotterdam, The Netherlands, 677–682.
Hansbo, S. (1997). “Aspects of vertical drain design: Darcian or non-Darcian flow.” Geotechnique, 47(5), 983–992.
Hansbo, S. (2005). “Experience of consolidation process from test areas with and without vertical drains.” Ground improvement—Case histories, B. Indraratna and J. Chu, eds., Elsevier, Amsterdam, The Netherlands, 3–50.
Hibbitt, Karlsson, and Sorensen. (2006). ABAQUS/standard user’s manual, HKS Inc., Dallas.
Hird, C. C., Pyrah, I. C., and Russell, D. (1992). “Finite-element modelling of vertical drains beneath embankments on soft ground.” Geotechnique, 42(3), 499–511.
Holtz, R. D., and Broms, B. (1972). “Long-term loading tests at Skå-Edeby, Sweden.” Proc., ASCE Specialty Conf. on Performance of Earth and Earth-Supported Structures, Vol. 1, Purdue Univ., West Lafayette, Ind., 435–464.
Holtz, R. D., Jamiolkowski, M. B., Lancellotta, R., and Pedroni, R. (1991). Prefabricated vertical drains: Design and performance, CIRIA, London, 1–131.
Indraratna, B., Balasubramaniam, A. S., and Balachandran, S. (1992). “Performance of test embankment constructed to failure on soft marine clay.” J. Geotech. Engrg., 118(1), 12–33.
Indraratna, B., and Redana, I. W. (2000). “Numerical modelling of vertical drains with smear and well resistance installed in soft clay.” Can. Geotech. J., 37(1), 133–145.
Indraratna, B., Rujikiatkamjorn, C., and Sathananthan, I. (2005). “Analytical and numerical solutions for a single vertical drain including the effects of vacuum preloading.” Can. Geotech. J., 42, 994–1014.
Jamiolkowski, M., Lancellotta, R., and Wolski, W. (1983). “Pre-compression and speeding up consolidation.” Proc., 8th European Conf. on Soil Mechanics and Foundations, Vol. 3, Balkema Rotterdam, Helsinki, Finland, 1201–1206.
Olson, R. E. (1998). “Settlement of embankments on soft clays.” J. Geotech. Geoenviron. Eng., 124(8), 659–669.
Rixner, J. J., Kraener, S. R., and Smith, A. D. (1986). “Prefabricated vertical drains. Summary of research effort-final report.” Rep. No. FHWA-RD-86-169, Vol. 2, Federal Highway Administration, U.S. Dept. of Commerce, Washington, D.C.
Yoshikuni, H., and Nakanodo, H. (1974). “Consolidation of fine-grained soils by drain wells with finite permeability.” Soils Found., 14(2), 35–46.
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© 2008 ASCE.
History
Received: Jul 20, 2007
Accepted: Oct 9, 2007
Published online: May 1, 2008
Published in print: May 2008
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