Abstract
Numerous approaches exist for the prediction of the settlement improvement offered by the vibro-replacement technique in weak or marginal soil deposits. The majority of the settlement prediction methods are based on the unit cell assumption, with a small number based on plane strain or homogenisation techniques. In this paper, a comprehensive review and assessment of the more popular settlement prediction methods is carried out with a view to establishing which method(s) is/are in best agreement with finite element predictions from a series of PLAXIS 2D axisymmetric analyses on an end-bearing column. The Hardening Soil Model in PLAXIS 2D has been used to model the behaviour of both the granular column material and the treated soft clay soil. This study has shown that purely elastic settlement prediction methods overestimate the settlement improvement for large modular ratios, while the methods based on elastic–plastic theory are in better agreement with finite element predictions at higher modular ratios. In addition, a parameter sensitivity study has been carried out to establish the influence of a range of different design parameters on predictions obtained using a selection of elastic–plastic methods.
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References
Aboshi H, Ichimoto E, Enoki M, Harada K (1979) The “Compozer”—a method to improve characteristics of soft clays by inclusion of large diameter sand columns. In: Paper presented at the international conference on soil reinforcement: reinforced earth and other techniques (Coll. Int. Renforcements des Sols.), Paris, Mar 1979
Ambily AP, Gandhi SR (2007) Behavior of stone columns based on experimental and FEM analysis. J Geotech Geoenviron Eng 133(4):405–415
Balaam NP, Booker JR (1981) Analysis of rigid rafts supported by granular piles. Int J Numer Anal Meth Geomech 5(4):379–403
Balaam NP, Booker JR (1985) Effect of stone column yield on settlement of rigid foundations in stabilized clay. Int J Numer Anal Meth Geomech 9(4):331–351
Barksdale RD, Bachus RC (1983) Design and Construction of Stone Columns Volume I. Federal Highway Administration Report FHWA/RD-83/026, National Technical Information Service, Springfield, Virginia
Barron RA (1948) Consolidation of fine-grained soils by drain wells. Trans ASCE 113:718–742
Baumann V, Bauer GEA (1974) The performance of foundations on various soils stabilized by the vibro-compaction method. Can Geotech J 11(4):509–530
Borges JL, Domingues TS, Cardoso AS (2009) Embankments on soft soil reinforced with stone columns: numerical analysis and proposal of a new design method. Geotech Geol Eng 27(6):667–679
Brinkgreve RBJ, Swolfs WM, Engin E (2011) PLAXIS 2D 2010 Material Models Manual. PLAXIS B.V.
Castro J, Sagaseta C (2009) Consolidation around stone columns. Influence of column deformation. Int J Numer Anal Meth Geomech 33(7):851–877
Castro J, Sagaseta C (2011) Consolidation and deformation around stone columns: numerical evaluation of analytical solutions. Comput Geotech 38(3):354–362
Debats JM, Guetif Z, Bouassida M (2003) Soft soil improvement due to vibro-compacted columns installation. In: Paper presented at the P international workshop “geotechnics of soft soils. Theory and practice”, Noordwijkerhout, The Netherlands, 17–19 Sept 2003
Degago SA (2011) On Creep during Primary Consolidation of Clays. PhD Thesis, Norwegian University of Science and Technology (NTNU), Trondheim
Domingues TS, Borges JL, Cardoso AS (2007) Stone columns in embankments on soft soils. Analysis of the effects of the gravel deformability. In: Paper presented at the 14th European conference on soil mechanics and geotechnical engineering, Madrid, Spain, 24–27 Sept 2012
Gäb M, Schweiger HF, Kamrat-Pietraszewska D, Karstunen M (2008) Numerical analysis of a floating stone column foundation using different constitutive models. In: Paper presented at the 2nd international workshop on the geotechnics of soft soils—focus on ground improvement, Glasgow, 3–5 Sept 2008
Goughnour RR, Bayuk AA (1979) Analysis of stone column-soil matrix interaction under vertical load. In: Paper presented at the international conference on soil reinforcement: reinforced earth and other techniques (Coll. Int. Renforcements des Sols.), Paris, Mar 1979
Goughnour RR, Bayuk AA (1979) A field study of long term settlements of loads supported by stone columns in soft ground. In: Paper presented at the international conference on soil reinforcement: reinforced earth and other techniques (Coll. Int. Renforcements des Sols.), Paris, Mar 1979
Greenwood DA (1970) Mechanical improvement of soils below ground surface. In: Paper presented at the ground engineering conference organised by the institution of civil engineers, London, June 1970
Han J, Ye SL (2001) Simplified method for consolidation rate of stone column reinforced foundations. J Geotech Geoenviron Eng 127(7):597–603
Hughes JMO, Withers NJ (1974) Reinforcing of soft cohesive soils with stone columns. Ground Eng 7(3):42–49
Killeen MM, McCabe BA (2010) A numerical study of factors affecting the performance of stone columns supporting rigid footings on soft clay. In: Paper presented at the 7th European conference on numerical methods in geotechnical engineering, Trondheim (Norway), 2–4 June 2010
Lee JS, Pande GN (1998) Analysis of stone-column reinforced foundations. Int J Numer Anal Meth Geomech 22(12):1001–1020
Leroueil S, Lerat P, Hight DW, Powell JJM (1992) Hydraulic conductivity of a recent estuarine silty clay at Bothkennar. Géotechnique 42(2):275–288
Lewis RW, Schrefler BA (1987) The finite element method in the deformation and consolidation of porous media. Wiley, New York
McKelvey D, Sivakumar V, Bell A, Graham J (2004) Modelling vibrated stone columns in soft clay. Proc ICE Geotech Eng 157(3):137–149
Munfakh GA, Sarkar SK, Castelli RJ (1983) Performance of a test embankment founded on stone columns. In: Paper presented at the international conference on advances in piling and ground treatment for foundations, London, 2–4 Mar 1983
Nash DFT, Powell JJM, Lloyd IM (1992) Initial investigations of the soft clay test site at Bothkennar. Géotechnique 42(2):163–181
Poorooshasb HB, Meyerhof GG (1997) Analysis of behavior of stone columns and lime columns. Comput Geotech 20(1):47–70
Priebe HJ (1976) Evaluation of the settlement reduction of a foundation improved by Vibro-replacement. Bautechnik 2:160–162 (in German)
Priebe HJ (1995) The design of vibro replacement. Ground Eng 28(10):31–37
Pulko B, Majes B (2005) Simple and accurate prediction of settlements of stone column reinforced soil. In: Paper presented at the 16th international conference on soil mechanics and geotechnical engineering, Osaka, Japan, 12–16 Sept 2005
Pulko B, Majes B, Logar J (2011) Geosynthetic-encased stone columns: analytical calculation model. Geotext Geomembr 29(1):29–39
Schanz T, Vermeer PA, Bonnier PG (1999) The hardening soil model: formulation and verification. In: Paper presented at beyond 2000 in computational geotechnics. Ten years of PLAXIS international, Amsterdam, 18–20 Mar 1999
Schweiger HF, Pande GN (1986) Numerical analysis of stone column supported foundations. Comput Geotech 2(6):347–372
Seed HB, Booker JR (1977) Stabilization of potentially liquefiable sand deposits using gravel drains. J Geotech Eng Div 103(7):757–768
Sexton BG, McCabe BA (2013) Numerical modelling of the improvements to primary and creep settlements offered by granular columns. Acta Geotechnica. doi:10.1007/s11440-012-0205-4
Slocombe BC, Bell AL, Baez JI (2000) The densification of granular soils using vibro methods. Géotechnique 50(6):715–725
Sondermann W, Wehr W (2004) Deep vibro techniques. Ground improvement, 2nd edn. Spon Press, Abingdon
Van Impe WF, De Beer E (1983) Improvement of settlement behaviour of soft layers by means of stone columns. In: Paper presented at the 8th European conference on soil mechanics and foundation engineering, Helsinki, Finland, 23–26 May 1983
Van Impe WF, Madhav MR (1992) Analysis and settlement of dilating stone column reinforced soil. Österreichische Ingenieur- und Architekten-Zeitschrift 137(3):114–121
Watts KS, Johnson D, Wood LA, Saadi A (2000) An instrumented trial of vibro ground treatment supporting strip foundations in a variable fill. Géotechnique 50(6):699–708
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The authors would like to acknowledge the support provided by the Irish Research Council.
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Sexton, B.G., McCabe, B.A. & Castro, J. Appraising stone column settlement prediction methods using finite element analyses. Acta Geotech. 9, 993–1011 (2014). https://doi.org/10.1007/s11440-013-0260-5
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DOI: https://doi.org/10.1007/s11440-013-0260-5