Numerical modelling of vertical drains
DOI:
https://doi.org/10.24849/j.geot.2018.144.07Keywords:
Wick drains, stone columns, numerical modellingAbstract
The installation of vertical drains (stone columns and wick drains) in soft cohesive soils is a soil improvement technique frequently used for the foundation of embankments. Its application with preloading allows the acceleration of the consolidation of soil. This paper presents the numerical methods for modelling of vertical drains whose behaviour is of the tri-dimensional character. The evolution of settlements and dissipation of the excess of the pore water pressure during the consolidation is studied. To facilitate the two-dimensional analysis, it is necessary to transform the radial flow corresponding to the vertical drain in terms of a unit cell to the plane strain conditions. Additionally, in the case of stone columns, the equivalence of the deformability is required as well. For this reason, the conversion of certain geotechnical parameters is necessary to achieve the equivalence in consolidation grade and settlements in three-dimensional and two-dimensional models. This paper presents different existing methods of permeability transformation between the unit cell and the plane strain model that can be achieved by matching the permeability and/or geometry conditions. An example of the application is presented contrasting the obtained results of settlements and dissipation of excess pore water pressure during the consolidation. Finally, the failure mechanism of stone columns is studied in function of their position under the embankment load.
Downloads
References
Balaam, N.P. y Booker, J.R. (1981). Analysis of rigid rafts supported by granular piles. Int. Journal Numerical Analyt. Meth. Geomechanics, Vol. 5, Nº 4, pp. 397–403.
Barron, R.A. (1948). Consolidation of fine-grained soils by drain wells. Trans. Am. Soc. Civ. Eng., Vol. 113, pp. 718–742.
Castro, J. y Sagaseta, C. 2009. Consolidation around stone columns. Influence of column deformation. Int. Journal Numerical Analyt. Meth. Geomechanics, Vol. 33, pp. 851-877.
Han, J. y Ye, S.L. (2001). Simplified method for consolidation rate of stone column reinforced foundations. Journal of Geotech. and Geoenviron. Eng., ASCE, Vol. 127, Nº 7, pp. 597–603.
Hansbo, S. (1981). Consolidation of fine-grained soils by prefabricated drains. Proc. 10th Int. Conf. Soil Mechanics and Foundations Eng., Vol. 3, pp. 677–682.
Hird, C.C., Pyrah, I.C. y Russell, D. (1992). Finite element modelling of vertical drains beneath embankments on soft ground. Geotechnique, Vol. 42, Nº 3, pp. 499–511.
Hird, C.C., Pyrah, I.C., Russell, D. y Cinicioglu, F. (1995). Modelling the effect of vertical drains in two-dimensional finite element analyses of embankments on soft ground. Canadian Geotechnical Journal, Vol. 32, pp. 795–807.
Indraratna, B. y Redana, I. W. (1997). Plane-strain modelling of smear effects associated with vertical drains. Journal of Geotech. and Geoenvir. Eng., ASCE, Vol. 123, Nº 5, pp. 474–478.
Indraratna, B. y Redana, I. W. (2000). Numerical modelling of vertical drains with smear and well resistance installed in soft clay. Canadian Geotechnical Journal, Vol. 37, Nº_1, pp. 132–145.
Madhav, M.R. y Nagpure, D.D. (1996). Design of granular piles for embankments on soft ground. Proc. 12th SE Asian Geot. Conf 1, 285–290, Kuala Lumpur.
Midas (2016). Reference Manual.
Stewart, D.P. y Fahey, M., 1994. Centrifuge modelling of a stone column foundation system. In: Seminar on ground improvement techniques, 1. Curtin Printing Services, Perth, pp. 101–111.
Tan, S.A. y Oo, K.K. (2005). Stone column FEM modeling – 2D and 3D considerations illustrated by case history. Proc. Int. Symp. on Tsunami Reconstruction with Geosynthetics, ACSIG, Bangkok, Thailand, pp. 157–169.
Tan, S.A., Tjahyono, S. y Oo, K.K. (2008). Simplified Plane-Strain Modelling of Stone-Column Reinforced Ground. Journal of Geotech. and Geoenvir. Eng. ASCE, Vol. 134, Nº 2, pp. 185–194.
Plaxis 2D (2015). Reference Manual.
Plaxis 3D (2015). Reference Manual.