Skip to main content
Log in

Appraising stone column settlement prediction methods using finite element analyses

  • Research Paper
  • Published:
Acta Geotechnica Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  1. 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

  2. Ambily AP, Gandhi SR (2007) Behavior of stone columns based on experimental and FEM analysis. J Geotech Geoenviron Eng 133(4):405–415

    Article  Google Scholar 

  3. Balaam NP, Booker JR (1981) Analysis of rigid rafts supported by granular piles. Int J Numer Anal Meth Geomech 5(4):379–403

    Article  Google Scholar 

  4. 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

    Article  Google Scholar 

  5. 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

  6. Barron RA (1948) Consolidation of fine-grained soils by drain wells. Trans ASCE 113:718–742

    Google Scholar 

  7. 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

    Article  Google Scholar 

  8. 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

    Article  Google Scholar 

  9. Brinkgreve RBJ, Swolfs WM, Engin E (2011) PLAXIS 2D 2010 Material Models Manual. PLAXIS B.V.

  10. Castro J, Sagaseta C (2009) Consolidation around stone columns. Influence of column deformation. Int J Numer Anal Meth Geomech 33(7):851–877

    Article  MATH  Google Scholar 

  11. Castro J, Sagaseta C (2011) Consolidation and deformation around stone columns: numerical evaluation of analytical solutions. Comput Geotech 38(3):354–362

    Article  Google Scholar 

  12. 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

  13. Degago SA (2011) On Creep during Primary Consolidation of Clays. PhD Thesis, Norwegian University of Science and Technology (NTNU), Trondheim

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. Han J, Ye SL (2001) Simplified method for consolidation rate of stone column reinforced foundations. J Geotech Geoenviron Eng 127(7):597–603

    Article  Google Scholar 

  20. Hughes JMO, Withers NJ (1974) Reinforcing of soft cohesive soils with stone columns. Ground Eng 7(3):42–49

    Google Scholar 

  21. 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

  22. Lee JS, Pande GN (1998) Analysis of stone-column reinforced foundations. Int J Numer Anal Meth Geomech 22(12):1001–1020

    Article  MATH  Google Scholar 

  23. Leroueil S, Lerat P, Hight DW, Powell JJM (1992) Hydraulic conductivity of a recent estuarine silty clay at Bothkennar. Géotechnique 42(2):275–288

    Article  Google Scholar 

  24. Lewis RW, Schrefler BA (1987) The finite element method in the deformation and consolidation of porous media. Wiley, New York

    Google Scholar 

  25. McKelvey D, Sivakumar V, Bell A, Graham J (2004) Modelling vibrated stone columns in soft clay. Proc ICE Geotech Eng 157(3):137–149

    Article  Google Scholar 

  26. 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

  27. Nash DFT, Powell JJM, Lloyd IM (1992) Initial investigations of the soft clay test site at Bothkennar. Géotechnique 42(2):163–181

    Article  Google Scholar 

  28. Poorooshasb HB, Meyerhof GG (1997) Analysis of behavior of stone columns and lime columns. Comput Geotech 20(1):47–70

    Article  Google Scholar 

  29. Priebe HJ (1976) Evaluation of the settlement reduction of a foundation improved by Vibro-replacement. Bautechnik 2:160–162 (in German)

    Google Scholar 

  30. Priebe HJ (1995) The design of vibro replacement. Ground Eng 28(10):31–37

    Google Scholar 

  31. 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

  32. Pulko B, Majes B, Logar J (2011) Geosynthetic-encased stone columns: analytical calculation model. Geotext Geomembr 29(1):29–39

    Article  Google Scholar 

  33. 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

  34. Schweiger HF, Pande GN (1986) Numerical analysis of stone column supported foundations. Comput Geotech 2(6):347–372

    Article  Google Scholar 

  35. Seed HB, Booker JR (1977) Stabilization of potentially liquefiable sand deposits using gravel drains. J Geotech Eng Div 103(7):757–768

    Google Scholar 

  36. 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

  37. Slocombe BC, Bell AL, Baez JI (2000) The densification of granular soils using vibro methods. Géotechnique 50(6):715–725

    Article  Google Scholar 

  38. Sondermann W, Wehr W (2004) Deep vibro techniques. Ground improvement, 2nd edn. Spon Press, Abingdon

    Google Scholar 

  39. 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

  40. Van Impe WF, Madhav MR (1992) Analysis and settlement of dilating stone column reinforced soil. Österreichische Ingenieur- und Architekten-Zeitschrift 137(3):114–121

    Google Scholar 

  41. 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

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to acknowledge the support provided by the Irish Research Council.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bryan A. McCabe.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11440-013-0260-5

Keywords

Navigation