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Numerical analysis of vertical drains accelerated consolidation considering combined soil disturbance and visco-plastic behaviour

  • Azari, Babak (Faculty of Engineering and IT, University of Technology Sydney) ;
  • Fatahi, Behzad (Faculty of Engineering and IT, University of Technology Sydney) ;
  • Khabbaz, Hadi (Faculty of Engineering and IT, University of Technology Sydney)
  • Received : 2014.08.14
  • Accepted : 2014.11.15
  • Published : 2015.02.25

Abstract

Soil disturbance induced by installation of mandrel driven vertical drains decreases the in situ horizontal hydraulic conductivity of the soil in the vicinity of the drains, decelerating the consolidation rate. According to available literature, several different profiles for the hydraulic conductivity variation with the radial distance from the vertical drain, influencing the excess pore water pressure dissipation rate, have been identified. In addition, it is well known that the visco-plastic properties of the soil also influence the excess pore water pressure dissipation rate and consequently the settlement rate. In this study, a numerical solution adopting an elastic visco-plastic model with nonlinear creep function incorporated in the consolidation equations has been developed to investigate the effects of disturbed zone properties on the time dependent behaviour of soft soil deposits improved with vertical drains and preloading. The employed elastic visco-plastic model is based on the framework of the modified Cam-Clay model capturing soil creep during excess pore water pressure dissipation. Besides, nonlinear variations of creep coefficient with stress and time and permeability variations during the consolidation process are considered. The predicted results have been compared with V$\ddot{a}$sby test fill measurements. According to the results, different variations of the hydraulic conductivity profile in the disturbed zone result in varying excess pore water pressure dissipation rate and consequently varying the effective vertical stresses in the soil profile. Thus, the creep coefficient and the creep strain limit are notably influenced resulting in significant changes in the predicted settlement rate.

Keywords

References

  1. Azari, B., Fatahi, B. and Khabbaz, H. (2014), "Assessment of the elastic-viscoplastic behavior of soft soils improved with vertical drains capturing reduced shear strength of a disturbed zone", Int. J. Geomech. DOI: 10.1061/(ASCE)GM.1943-5622.0000448.
  2. Barden, L. (1965), "Consolidation of clay with non-linear viscosity", Geotechnique, 15(4), 345-362. https://doi.org/10.1680/geot.1965.15.4.345
  3. Barden, L. (1969), "Time-dependent deformation of normally consolidated clays and peats", J. Soil Mech. Found. Div. ASCE, 95(1), 1-31.
  4. Barron, R.A. (1948), "Consolidation of fine-grained soils by drain wells", T. Am. Soc. Civil Eng., 113, 718-724.
  5. Basu, D. and Prezzi, M. (2007), "Effect of the smear and transition zones around prefabricated vertical drains installed in a triangular pattern on the rate of soil consolidation", Int. J. Geomech. ASCE, 7(1), 34-43. https://doi.org/10.1061/(ASCE)1532-3641(2007)7:1(34)
  6. Basu, D., Basu, P. and Prezzi, M. (2006), "Analytical solutions for consolidation aided by vertical drains", Geomech. Geoeng., 1(1), 63-71. https://doi.org/10.1080/17486020500527960
  7. Basu, D., Basu, P. and Prezzi, M. (2010), "Analysis of PVD-enhanced consolidation with soil disturbance", Ground Improv., 163(G4), 237-249. https://doi.org/10.1680/grim.2010.163.4.237
  8. Bergado, D.T., Asakami, H., Alfaro, M.C. and Balasubramaniam, A.S. (1991), "Smear effects of vertical drains on soft Bangkok clay", J. Geotech. Eng., 117(10), 1509-1530. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:10(1509)
  9. Bjerrum, L. (1967), "Engineering geology of norwegian normally consolidated marine clays as related to the settlement of buildings", Geotechnique, 17(2), 83-118. https://doi.org/10.1680/geot.1967.17.2.83
  10. Casagrande, A. and Fadum, R.E. (1940), Notes on Soil Testing for Engineering Purposes, Harvard Soil Mechanics, Volume 8, Cambridge, MA, USA.
  11. Chai, J. and Miura, N. (1999), "Investigation of factors affecting vertical drain behavior", Journal of Geotech. Geoenviron. Eng., 125(3), 216-226. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:3(216)
  12. Chai, J.C., Miura, N. and Sakajo, S. (1997), "A theoretical study on smear effect around vertical drain", Proceedings of the 14th International Conference on Soil Mechanics and Foundation Engineering, Hamburg, Germany, Volume 3, pp. 1581-1584.
  13. Chang, Y.C.E. (1969), "Long-term consolidation beneath the test fills at Vasby, Sweden", Ph.D. Thesis, University of Illinios, Champaign, IL, USA.
  14. Chang, Y.C.E. (1981), Long-term Consolidation Beneath the Test Fills at Vasby, Sweden, Swedish Geotechnical Institute, Linkoping, Sweden.
  15. Crank, J. and Nicolson, P. (1947), "A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type", Mathematical Proceedings of the Cambridge Philosophical Society, 43(1), 50-67.
  16. Fatahi, B. and Tabatabaiefar, S. (2014), "Fully nonlinear versus equivalent linear computation method for seismic analysis of midrise buildings on soft soils", Int. J. Geomech., 14(4), 1-15. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000293
  17. Fatahi, B., Fatahi, B., Le, T. and Khabbaz, H. (2013), "Small-strain properties of soft clay treated with fibre and cement", Geosynth. Int., 20(4), 286-300. https://doi.org/10.1680/gein.13.00018
  18. Hansbo, S. (1981), "Consolidation of fine-grained soils by prefabricated drains", Proceedings of the 10th International Conference on Soil Mechanics and Foundation Engineering, Stockholm, Sweden, June, Balkema, Rotterdam, The Netherlands, pp. 677-682.
  19. Hansbo, S. (1987), "Design aspects of vertical drains and lime column installation", Proceedings of the 9th Southeast Asian Geotechnical Conference, Bangkok, Thailand, December, 2(8), pp. 1-12.
  20. Hansbo, S. (1997), "Aspects of vertical drain design: Darcian or non-Darcian flow", Geotechnique, 47(5), 983-992. https://doi.org/10.1680/geot.1997.47.5.983
  21. Hawlader, B.C., Imai, G. and Muhunthan, B. (2002), "Numerical study of the factors affecting the consolidation of clay with vertical drains", Geotext. Geomembr., 20(4), 213-239. https://doi.org/10.1016/S0266-1144(02)00012-2
  22. Hird, C.C. and Moseley, V.J. (2000), "Model study of seepage in smear zones around vertical drains in layered soil", Geotechnique, 50(1), 89-97. https://doi.org/10.1680/geot.2000.50.1.89
  23. Hird, C.C., Pyrah, I.C. and Russell, D. (1992), "Finite element modelling of vertical drains beneath embankmentson soft ground", Geotechnique, 42(3), 499-511. https://doi.org/10.1680/geot.1992.42.3.499
  24. Ho, L.H., Fatahi, B. and Khabbaz, H. (2014), "Analytical solution for one-dimensional consolidation of unsaturated soils using eigenfunction expansion method", Int. J. Numer. Anal. Method. Geomech., 38(10), 1058-1077. https://doi.org/10.1002/nag.2248
  25. Hokmabadi, A.S., Fatahi, B. and Samali, B. (2014a), "Assessment of soil-pile-structure interaction influencing seismic response of mid-rise buildings sitting on floating pile foundations", Comput. Geotech., 55(1), 172-186. https://doi.org/10.1016/j.compgeo.2013.08.011
  26. Hokmabadi, A.S., Fatahi, B. and Samali, B. (2014b), "Seismic response of mid-rise buildings on shallow and end-bearing pile foundations in soft soil", Soils Found., 54(3), 345-363. https://doi.org/10.1016/j.sandf.2014.04.020
  27. Holtz, R.D. and Holm, B.G. (1973), "Excavation and sampling around some sand drains at Ska-Edeby, Sweden", Proceedings of the 6th Scandinavian Geotechnical Meeting, Trondheim, Norway, Norwegian Geotechnical Institute, pp. 79-85.
  28. Hong, H.P. and Shang, J.Q. (1998), "Probabilistic analysis of consolidation with prefabricated vertical drains for soil improvement", Can. Geotech. J., 35(4), 666-677. https://doi.org/10.1139/t98-031
  29. Indraratna, B. and Redana, I.W. (1998a), "Development of the smear zone around vertical band drains", Proceedings of the ICE-Ground Improvement, 2(4), 165-178.
  30. Indraratna, B. and Redana, I.W. (1998b), "Laboratory determination of smear zone due to vertical drain installation", Geotech. Geoenviron. Eng, 124(2), 180-184. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:2(180)
  31. Indraratna, B., Rujikiatkamjorn, C. and Sathananthan, I. (2005), "Radial consolidation of clay using compressibility indices and varying horizontal permeability", Can. Geotech. J, 42(5), 1330-1341. https://doi.org/10.1139/t05-052
  32. Jamiolkowski, M., Lancellotta, R. and Wolski, W. (1983), "Precompression and speeding up consolidation", Proceedings of the 8th European Conference on Soil Mechanics and Foundation Engineering, Helsinki, Finland, Volume 2, pp. 1201-1226.
  33. Ladd, C.C. (1973), "Estimating settlements of structures supported on cohesive soils", Lecture Notes, Massachusetts Institute of Technology, Cambridge, MA, USA.
  34. Ladd, C.C., Foott, R., Ishihara, K., Schlosser, F. and Poulos, H.J. (1977), "Stress-deformation and strength characteristics", Proceeding of 9th International Conference of Soil Mechanics, Foundation Engineering, Tokyo, Japan, July, pp. 421-494.
  35. Le, T.M., Fatahi, B. and Khabbaz, H. (2012), "Viscous behaviour of soft clay and inducing factors", Geotech. Geol. Eng., 30(5), 1069-1083. https://doi.org/10.1007/s10706-012-9535-0
  36. Le, T.M., Fatahi, B. and Khabbaz, H. (2015), "Numerical optimisation to obtain elastic viscoplastic model parameters for soft clay", Int. J. Plasticity, 65, 1-21. https://doi.org/10.1016/j.ijplas.2014.08.008
  37. Lo, D.O.K. and Mesri, G. (1994), Settlement of Test Fills for Chek Lap Kok Airport, In: Vertical and Horizontal Deformations of Foundations and Embankments, (Edited by A.T. Yeung and G. Feaalio), American Society of Civil Engineers: New York, NY, USA, pp. 1082-1099.
  38. Madhav, M.R., Park, Y.M. and Miura, N. (1993), "Modelling and study of smear zones around band shaped drains", Soils Found., 33(4), 135-147. https://doi.org/10.3208/sandf1972.33.4_135
  39. Mesri, G. (1986), "Postconstruction settlement of an expressway built on peat by precompression", Can. Geotech. J., 22(3), 308-312. https://doi.org/10.1139/t85-044
  40. Mesri, G. (2001), "Primary compression and secondary compression: Soil behavior and soft ground construction", Geotechnical Specification, 119, 122-166.
  41. Mesri, G. and Feng, T.W. (1991), "Surcharging to reduce secondary settlements", Proceedings of the International Conference on Geotechnical Engineering for Coastal Development - Theory of Practice, Yokohama, Japan, September, pp. 359-364.
  42. Mesri, G. and Rokhsar, A. (1994), "Theory of consolidation for clays", J. Geotech. Eng. Div., ASCE, 100, 889-904.
  43. Mesri, G., Rokhsar, A. and Bohor, B.F. (1975), "Composition and compressibility of typical samples of Mexico City clay", Geotechnique, 25(3), 527-554. https://doi.org/10.1680/geot.1975.25.3.527
  44. Mesri, G., Shahien, M. and Feng, T.W. (1995), "Compressibility parameters during primary consolidation", Proceedings of the International Symposium on Compression and Consolidation of Clayey Soils, Hiroshima, Japan, May, Volume 2, pp. 1021-1037.
  45. Mitchell, J.K. (1956), "The fabric of natural clays and its relation to engineering properties", Proceedings of the 35th Annual Meeting of the Highway Research Board, Washington, D.C., USA, January, Volume 35, pp. 693-713.
  46. Nash, D.F.T. and Ryde, S.J. (2001), "Modelling consolidation accelerated by vertical drains in soils subject to creep", Geotechnique, 51(3), 257-273. https://doi.org/10.1680/geot.2001.51.3.257
  47. Nguyen, L.D., Fatahi, B. and Khabbaz, H. (2014), "A constitutive model for cemented clays capturing cementation degradation", Int. J. Plasticity, 56, 1-18. https://doi.org/10.1016/j.ijplas.2014.01.007
  48. Onoue, A., Ting, N.H., Germaine, J.T. and Whitman, R.V. (1991), "Permeability of disturbed zone around vertical drains", Proceedings of the Geotechnical Engineering Congress, Boulder, CO, USA, June, pp. 879-890.
  49. Qin, A., Sun, D.A. and Zhang, J. (2014), "Semi-analytical solution to one-dimensional consolidation for viscoelastic unsaturated soils", Comput. Geotech., 62, 110-117. https://doi.org/10.1016/j.compgeo.2014.06.014
  50. Parsa-Pajouh, A., Fatahi, B., Vincent, P. and Khabbaz, H. (2014), "Analyzing consolidation data to predict smear zone characteristics induced by vertical drain installation for soft soil improvement", Geomech. Eng., Int. J., 7(1), 105-131. https://doi.org/10.12989/gae.2014.7.1.105
  51. Rendulic, L. (1935), Der hydrodynamische Spannungsausgleich in zentral entwasserten Tonzylindern, Wasserwirtsch-Wassertech, Volume 2, 250-253 & 269-273.
  52. Rendulic, L. (1936), Porenziffer und Porenwasserdruck in Tonen, Springer, pp. 559-564.
  53. Rujikiatkamjorn, C. and Indraratna, B. (2009), "Design procedure for vertical drains considering a linear variation of lateral permeability within the smear zone", Can. Geotech. J., 46(3), 270-280. https://doi.org/10.1139/T08-124
  54. Sharma, J.S. and Xiao, D. (2000), "Characterization of a smear zone around vertical drains by large-scale laboratory tests", Can. Geotech. J., 37(6), 1265-1271. https://doi.org/10.1139/t00-050
  55. Shen, W.Q., Shao, J.F., Kondo, D. and Gatmiri, B. (2012), "A micro-macro model for clayey rocks with a plastic compressible porous matrix", Int. J. Plasticity, 36, 64-85. https://doi.org/10.1016/j.ijplas.2012.03.006
  56. Suklje, L. (1957), "The analysis of the consolidation process by the isotache method", Proceeding of 4th International Conference of Soil Mechanics and Foundation Engineering, London, UK, August, Volume 1, pp. 200-206.
  57. Tabatabaiefar, S. and Fatahi, B. (2014), "Idealisation of soil-structure system to determine inelastic seismic response of mid-rise building frames", Soil Dyn. Earthq. Eng., 66(1), 339-351. https://doi.org/10.1016/j.soildyn.2014.08.007
  58. Tabatabaiefar, S., Fatahi, B. and Samali, B. (2013b), "Seismic behavior of building frames considering dynamic soil-structure interaction", Int. J. Geomech., 13(4), 409-420. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000231
  59. Tabatabaiefar, S., Fatahi, B. and Samali, B. (2013a), "Lateral seismic response of building frames considering dynamic soil-structure interaction effects", Struct. Eng. Mech., Int. J., 45(3), 311-321. https://doi.org/10.12989/sem.2013.45.3.311
  60. Terzaghi, K. (1925), Erdbaumechanik auf bodenphysikalischer Grundlage, Deuticke: Vienna.
  61. Terzaghi, K. (1941), Undisturbed Clay Samples and Undisturbed Clays, Harvard University, Cambridge, MA, USA.
  62. Walker, R. and Indraratna, B. (2006), "Vertical drain consolidation with parabolic distribution of permeability in smear zone", J. Geotech. Geoenviron. Eng., 132(7), 937-941. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:7(937)
  63. Xie, K., Li, C., Liu, X. and Wang, Y. (2012), "Analysis of one-dimensional consolidation of soft soils with non-Darcian flow caused by non-Newtonian liquid", J. Rock Mech. Geotech. Eng., 4(3), 250-257. https://doi.org/10.3724/SP.J.1235.2012.00250
  64. Yin, J.H. (1990), "Constitutive modelling of time-dependent stress-strain behaviour of soils", Ph.D. Thesis, University of Manitoba, Winnipeg, Manitoba, Canada.
  65. Yin, J.H. (1999), "Non-linear creep of soils in Oedometer tests", Geotechnique, 49(5), 669-707.
  66. Yin, J.H. and Graham, J. (1989), "Viscous-elastic-plastic modelling of one dimensional time-dependent behaviour of clays", Can. Geotech. J., 26(2), 199-209. https://doi.org/10.1139/t89-029
  67. Yin, J.H. and Graham, J. (1994), "Equivalent times and one-dimensional elastic viscoplastic modelling of time-dependent stress-strain behaviour of clays", Can. Geotech. J., 31(1), 42-52. https://doi.org/10.1139/t94-005
  68. Yin, J.H., Zhu, G. and Graham, J. (2002), "A new elastic viscoplastic model for time-dependant behaviour of normally and overconsolidated clays: Theory and verification", Can. Geotech. J., 39(1), 157-173. https://doi.org/10.1139/t01-074
  69. Zhu, G. and Yin, J.H. (2000), "Finite element consolidation analysis of soils with vertical drain", Int. J. Numer. Anal. Method. Geomech., 24(4), 337-366. https://doi.org/10.1002/(SICI)1096-9853(20000410)24:4<337::AID-NAG70>3.0.CO;2-B

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