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The magic of sands — The 20th Bjerrum Lecture presented in Oslo, 25 November 2005

Publication: Canadian Geotechnical Journal
18 January 2008

Abstract

Following the discovery of sinkholes in the W.A.C. Bennett Dam, British Columbia, in 1996, investigations showed that there had apparently been movement of fine material out of the core of the dam. To be able to predict the mechanical consequences of such movement of material, a class of soil model that is able to accommodate changes in both density and grading of the soil is required. An outline of features of the Severn–Trent sand model — which incorporates effects of density variation — is presented and a suggestion is made for ways this model might be extended to include effects of changing particle size distribution.

Résumé

À la suite de la découverte de dolines dans le barrage W.A.C. Bennett, Colombie Britannique, en 1996, des études ont démontré qu’il y avait eu apparemment un mouvement de matériaux fins provenant du noyau du barrage. Afin de pouvoir prédire les conséquences mécaniques d’un tel mouvement de matériau, il nous faut une classe de modèle de sol qui peut accommoder des changements tant dans la densité que dans la granulométrie du sol. On présente une esquisse des caractéristiques du modèle du sable de Severn–Trent — qui incorpore les effets de la variation de la densité — et on suggère des manières d’élargir ce modèle pour inclure les effets du changement dans la granulométrie.

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References

Arroyo, M., Muir Wood, D., Greening, P.D., Medina, L., and Rio, J. 2006. Sample size effects on bender-based axial Go measurements. Géotechnique, 56: 39–52.
Atkinson, J.H., and Sällfors, G. 1991. Experimental determination of stress–strain–time characteristics in laboratory and in-situ tests. In Deformation of soils and displacements of structures (Proc X ECSMFE). Associazione Geotecnica Italiana, A.A. Balkema, Rotterdam, the Netherlands, 3: 915–956.
Been, K., and Jefferies, M.G. 1985. A state parameter for sands. Géotechnique, 35: 99–112.
Been, K., and Jefferies, M.G. 1986. Discussion: A state parameter for sands. Géotechnique, 36: 127–132.
Benahmed, N. 2001. Comportement mécanique d'un sable sous cisaillement monotone et cyclique: application aux phénomènes de liquéfaction et de mobilité cyclique. Thèse de doctorat, Ecole Nationale des Ponts et Chaussées, Paris.
Budhu, M. 1979. Simple shear deformation of sand. Ph.D. thesis, Cambridge University. Cambridge, UK.
Casagrande, A. 1936. Characteristics of cohesionless soils affecting the stability of slopes and earth fills. Journal of the Boston Society of Civil Engineers, 23: 13–32.
Cascante, G., and Santamarina, J.C. 1996. Interparticle contact behaviour and wave propagation. Journal of Geotechnical Engineering, 122(10): 831–839.
Cheng, Y.P., Bolton, M.D., and Nakata, Y. 2005. Grain crushing and critical states observed in DEM simulations. In Powders and grains. Edited by R. García-Rojo, H.J. Herrmann, and S. McNamara. Taylor and Francis Group, London, Vol. 2, pp. 1393–1397.
Daouadji, A., Hicher, P.-Y., and Rahma, A. 2001. An elastoplastic model for granular materials taking into account grain breakage. European Journal of Mechanics. A, Solids., 20: 113–137.
Desrues, J., Chambon, R., Mokni, M., and Mazerolle, F. 1996. Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography. Géotechnique, 46: 529–546.
Drescher, A., and de Josselin de Jong, G. 1972. Photoelastic verification of a mechanical model for the flow of a granular material. Journal of the Mechanics and Physics of Solids, 20: 337–351.
Gajo, A., and Muir Wood, D. 1999a. A kinematic hardening constitutive model for sands: the multiaxial formulation. International Journal for Numerical and Analytical Methods in Geomechanics, 23(9): 925–965.
Gajo, A., and Muir Wood, D. 1999b. Severn–Trent sand: a kinematic hardening constitutive model for sands: the q−p formulation. Géotechnique, 49: 595–614.
Hardin, B.O. 1985. Crushing of soil particles. Journal of Geotechnical Engineering, 111: 1177–1192.
Hardin, B.O. 1987. 1-D strain in normally consolidated cohesionless soils. Journal of Geotechnical Engineering, 113: 1449–1467.
Jefferies, M.J. 1993. Nor-sand: a simple critical state model for sand. Géotechnique, 43: 91–103.
Lade, P.V., Liggio, C.D., and Yamamuro, J.A. 1998. Effects of nonplastic fines on minimum and maximum void ratios of sand. Geotechnical Testing Journal, ASTM, 21: 336–347.
Lings, M.L., and Greening, P.D. 2001. A novel bender/extender element for soil testing. Géotechnique, 51: 713–717.
Lo Presti, D.C.F., Jamiolkowski, M., Pallara, O., Cavallaro, A., and Pedroni, S. 1997. Shear modulus and damping of soils. Géotechnique, 47: 603–617.
Luzzani, L., and Coop, M.R. 2002. On the relationship between particle breakage and the critical state of sands. Soils and Foundations, 42: 71–82.
McDowell, G.R., Bolton, M.D., and Robertson, D. 1996. The fractal crushing of granular materials. Journal of the Mechanics and Physics of Solids, 44: 2079–2102.
Muir Wood, D. 1990. Soil behaviour and critical state soil mechanics. Cambridge University Press, Cambridge, UK.
Muir Wood, D. 2002. Some observations of volumetric instabilities in soils. International Journal of Solids and Structures, 39: 3429–3449.
Muir Wood, D. 2004. Geotechnical modelling. E. & F.N. Spon, London, UK.
Nougier-Lehon, C., Vincens, E., and Cambou, B. 2005. Structural changes in granular materials: the case of irregular polygonal particles. International Journal of Solids and Structures, 42: 6356–6375.
Pennington, D.S., Nash, D.F.T., and Lings, M.L. 1997. Anisotropy of Go shear stiffness in Gault clay. Géotechnique, 47: 391–398.
Poulos, H.G., and Davis, E.H. 1974. Elastic solutions for soil and rock mechanics. John Wiley & Sons, New York.
Rendulić, L. 1937. Ein Grundgesetz der Tonmechanik und sein experimenteller Beweis. Bauingenieur, 18: 459–467. [In German.]
Roscoe, K.H., Schofield, A.N., and Wroth, C.P. 1958. On the yielding of soils. Géotechnique, 8: 22–52.
Russell, A.R., and Khalili, N. 2004. A bounding surface plasticity model for sands exhibiting particle crushing. Canadian Geotechnical Journal, 41(6): 1179–1192.
Sadek, T. 2006. The multiaxial behaviour and elastic stiffness of Hostun sand. Ph.D. thesis, University of Bristol. Bristol, UK.
Santamarina, J.C., and Cascante, G. 1996. Stress anisotropy and wave propagation: a micromechanical view. Canadian Geotechnical Journal, 33(5): 770–782.
Schofield, A.N., and Wroth, C.P. 1968. Critical state soil mechanics. McGraw-Hill, London, UK.
Sobkowicz, J.C., and Garner, S.J. 2001. Anomalous pore pressures in earth dams. In Morgenstern Symposium, Department of Civil Engineering, University of Alberta, Edmonton, Alta.
Stewart, R.A., and Garner, S.J. 2000. Performance and safety of W.A.C. Bennett Dam, a seven year update. In Proceedings of the 53rd Canadian Geotechnical Conference, Montréal, Que. 15–18 October 2000. Vol 1, pp. 97–105.
Stewart, R.A., and Watts, B.D. (2000) The W.A.C. Bennett Dam sinkhole incident. In Proceedings of the 53rd Canadian Geotechnical Conference, Montreal, Que. 15–18 October 2000. Vol. 1, pp. 39–45.
Stroud, M.A. 1971. The behaviour of sand at low stress levels in the simple shear apparatus, Ph.D. thesis, Cambridge University, Cambridge, UK.
Taylor, D.W. 1948. Fundamentals of soil mechanics. John Wiley & Sons, New York.
Vardoulakis, I. 1978. Equilibrium bifurcation of granular earth bodies. In Advances in analysis of geotechnical instabilities. SM study 13, paper 3. University of Waterloo Press, Waterloo, Ont. pp. 65–119.
Vesić, A.S., and Clough, G.W. 1968. Behaviour of granular materials under high stresses. In Proceedings of the American Society of Civil Engineers. Journal of the Soil Mechanics and Foundations Division, 94 (SM3): 661–688.
Wroth, C.P. 1958. Soil behaviour during shear—existence of critical voids ratios. Engineering, 186: 409–413.

Information & Authors

Information

Published In

cover image Canadian Geotechnical Journal
Canadian Geotechnical Journal
Volume 44Number 11November 2007
Pages: 1329 - 1350

History

Received: 23 November 2006
Accepted: 18 June 2007
Version of record online: 18 January 2008

Notes

This paper represents the written version of the 20th Bjerrum Lecture. While it has been edited for the present publication, it retains the general structure of the original lecture, which was intended for a general geotechnical audience. It deliberately points out some of the still-open questions concerning soil modelling. The Bjerrum Lecture is presented in Oslo in alternate years by the Norwegian Geotechnical Society with the support of the Bjerrum Memorial Fund (Laurits Bjerrums Minnefond).

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Key Words

  1. erosion
  2. modelling
  3. sands
  4. critical states
  5. strength
  6. dilatancy

Mots-clés

  1. érosion
  2. modélisation
  3. sables
  4. états critiques
  5. résistance
  6. dilatance

Authors

Affiliations

David Muir Wood
Department of Civil Engineering, University of Bristol, Queen’s Building, University Walk, Bristol BS8 1TR, United Kingdom. (email:(email: [email protected]))

Notes

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44 117 928 7709fax: 44 117 921 0318(email: [email protected])

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