Abstract
Estimates of earthquake-induced deformations for geotechnical structures affected by liquefaction can involve significant uncertainties stemming from the uncertainty in the in-situ residual shear strengths and the effects of pore pressure diffusion (or void redistribution) on those shear strengths. The results of physical model tests involving liquefiable sands with lower-permeability interlayers have demonstrated how various factors can influence the degree to which void redistribution can affect shear strength losses and slope deformations. Numerical simulations using a critical-state compatible constitutive model are shown to reproduce the patterns of void redistribution that were observed in two centrifuge model tests. The constitutive model used in these simulations is described, followed by results for each of the centrifuge model tests. Current limitations in our abilities to account for void redistribution in nonlinear deformation analyses are described, followed by a discussion of how this relates to current design practice for estimating residual shear strengths of liquefied soils.
Similar content being viewed by others
References
Andrus RD, Stokoe KH (2000) Liquefaction resistance of soils from shear–wave velocity. J Geotech Geoenviron Eng ASCE 126(11):1015–1025
Armstrong RJ (2010) Evaluation of the performance of piled bridge abutments affected by liquefaction-induced ground deformations through centrifuge tests and numerical analysis tools. Ph.D. dissertation, University of California, Davis, California
Balakrishnan A (2000) Liquefaction remediation at a bridge site. Ph.D, Dissertation, University of California, Davis, 261 pp
Bolton MD (1986) The strength and dilatancy of sands. Geotechnique 36(1):65–78
Boulanger RW (2010a) Sand plasticity model for nonlinear seismic deformation analyses. In: Fifth international conference on recent advances in geotechnical earthquake engineering and soil dynamics. San Diego, CA, paper IMI-6
Boulanger RW (2010b) A sand plasticity model for earthquake engineering applications. Report No. UCD/CGM-10-01, Center for Geotechnical Modeling, Department of Civil and Environmental Engineering, University of California, Davis, California
Boulanger RW (2003) Relating K\(_{\alpha }\) to relative state parameter index. J Geotech Geoenviron Eng ASCE 129(8):770–773
Boulanger RW, Idriss IM (2011) Cyclic failure and liquefaction: current issues. In: Proceedings of 5th international conference on earthquake geotechnical engineering, Santiago, Chile
Boulanger RW, Truman SP (1996) Void redistribution in sand under post-earthquake loading. Can Geotech J 33(5):829–833
Boulanger RW, Ziotopoulou K (2013) Formulation of a sand plasticity plane–strain model for earthquake engineering applications. J Soil Dyn Earthq Eng 53:254–267
Boulanger RW, Ziotopoulou K (2012) PM4Sand (Version 2): a sand plasticity model for earthquake engineering applications. Report No. UCD/CGM-12-01, Center for Geotechnical Modeling, Department of Civil and Environmental Engineering, University of California, Davis, California, 100 pp
Castro G, Seed RB, Keller TO, Seed HB (1992) Steady-state strength analysis of Lower San Fernando dam slide. J Geotech Eng ASCE 118(3):406–427
Dafalias YF, Manzari MT (2004) Simple plasticity sand model accounting for fabric change effects. J Eng Mech ASCE 130(6):622–634
Dobry R, Liu L (1992) Centrifuge modeling of soil liquefaction. In: Proceedings of tenth world conference on earthquake engineering. Madrid, Spain, pp 6801–6809
Electric Power Research Institute (1993) Guidelines for site specific ground motions, Rept. TR-102293, pp 1–5, Palo Alto, California
Elgamal AW, Dobry R, Adalier K (1989) Study of effect of clay layers on liquefaction of sand deposits using small-scale models. In: Proceedings of 2nd U.S.-Japan workshop on liquefaction, large ground deformation and their effects on lifelines. NCEER, SUNNY-Buffalo, Buffalo, pp 233–245
Fiegel GL, Kutter BL (1994) Liquefaction mechanism for layered soils. J Geotech Eng ASCE 120(4):737–755
Haigh SK, Eadington J, Madabhushi SPG (2012) Permeability and stiffness of sands at very low effective stresses. Geotechnique 62(1):69–75
Idriss IM, Boulanger RW (2007) SPT- and CPT-based relationships for the residual shear strength of liquefied soils. In: Pitilakis KD (ed) Earthquake geotechnical engineering, 4th international conference on earthquake geotechnical engineering-invited lectures. Springer, Netherlands, pp 1–22
Idriss IM, Boulanger RW (2008) Soil liquefaction during earthquakes. Monograph MNO-12, Earthquake Engineering Research Institute, Oakland, CA, 261 pp
Itasca (2011) FLAC—Fast Lagrangian Analysis of Continua, Version 7.0, Itasca Consulting Group Inc., Minneapolis, Minnesota
Kamai R (2011) Liquefaction-induced shear strain localization processes in layered soil profiles. Ph.D. dissertation, University of California, Davis
Kamai R, Boulanger RW (2010) Characterizing localization processes during liquefaction using inverse analyses of instrumentation arrays. In: Hatzor YH, Sulem J, Vardoulakis I (eds) Meso-scale shear physics in earthquake and landslide mechanics. CRC Press/Balkema, The Netherlands, pp 219–238
Kamai R, Boulanger RW (2011) Numerical simulations of a centrifuge test to study void redistribution and shear localization effects. In: Proceedings of 8th international conference on urban earthquake engineering. Tokyo Institute of Technology, Tokyo
Kamai R, Boulanger RW (2012) Single-element simulations of partial-drainage effects under monotonic and cyclic loading. Soil Dyn Earthq Eng 35:29–40
Kamai R, Boulanger RW (2013) Simulations of a centrifuge test with lateral spreading and void redistribution effects. J Geotech Geoenviron Eng ASCE 139(8):1250–1261
Kokusho T (1998) Video of shaking table tests. Geotechnical Engineering Laboratory, Chuo University, http://www.civil.chuo-u.ac.jp/lab/doshitu/top/top_en.html
Kokusho T (1999) Water film in liquefied sand and its effect on lateral spread. J Geotech Eng ASCE 125(10):817–26
Kokusho T (2000) Mechanism for water film generation and lateral flow in liquefied sand layer. Soils Found 40(5):99–111
Kokusho T (2003) Current state of research on flow failure considering void redistribution in liquefied deposits. Soil Dyn Earthq Eng 23(7):585–603
Kramer SL (2009) Evaluation of liquefaction hazards in Washington state. Report No. WA-RD 668.1, Washington State Transportation Center, Seattle, Washington, 325 pp
Kulasingam R (2004) Effects of void redistribution on liquefaction-induced deformations. Ph.D. thesis, University of California, Davis
Kulasingam R, Malvick EJ, Boulanger RW, Kutter BL (2004) Strength loss and localization of silt interlayers in slopes of liquefied sand. J Geotech Geoenviron Eng 130(11):1192–1202
Liu H, Qiao T (1984) Liquefaction potential of saturated sand deposits underlying foundation of structure. In: Proceedings of 8th world conference earthquake engineering, Vol. 3. San Francisco, pp 199–206
Malvick EJ, Kutter BL, Boulanger RW, Kulasingam R (2006) Shear localization due to liquefaction-induced void redistribution in a layered infinite slope. J Geotech Geoenviron Eng ASCE 132(10):1293–1303
Malvick EJ, Kutter BL, Boulanger RW (2008) Postshaking shear strain localization in a centrifuge model of a saturated sand slope. J Geotech Geoenviron Eng ASCE 134(2):164–174
Marinucci A, Rathje E, Kano S, Kamai R, Conlee C, Howell R, Boulanger RW, Gallagher P (2008) Centrifuge testing of prefabricated vertical drains for liquefaction remediation. In: Zeng D, Manzari M, Hiltunen D (eds) Geotechnical earthquake engineering and soil dynamics IV. Geotechnical Special Publication No. 181, ASCE, New York
Naesgaard E, Byrne PM (2007) Flow liquefaction simulation using a combined effective stress: total stress model. In: 60th Canadian geotechnical conference. Canadian Geotechnical Society, Ottawa
Naesgaard E, Byrne PM, Seid-Karbasi M, Park SS (2005) Modeling flow liquefaction, its mitigation, and comparison with centrifuge tests. In: Proceedings, performance based design in earthquake geotechnical engineering: concepts and research, geotechnical earthquake engineering satellite conference. Osaka, Japan, September 10, pp 95–102
Olson SM, Stark TD (2002) Liquefied strength ratio from liquefaction flow case histories. Can Geotech J 39:629–647
Perlea VG, Beaty MH (2010) Corps of engineers practice in the evaluation of seismic deformation of embankment dams. In: Fifth international conference on recent advances in geotechnical earthquake engineering and soil dynamics. San Diego, CA, paper SPL 6
Poulos SJ, Castro G, France JW (1985) Liquefaction evaluation procedure. J Geotech Eng ASCE 111(6):772–91
Robertson PK, Wride CE, List BR, Atukorala U, Biggar KW, Byrne PM, Campanella RG, Cathro CD, Chan DH, Czajewski K, Finn WDL, Gu WH, Hammamji Y, Hofmann BA, Howie JA, Hughes J, Imrie AS, Konrad J-M, Kupper A, Law T, Lord ERF, Monahan PA, Morgenstern NR, Phillips R, Piche R, Plewes HD, Scott D, Sego DC, Sobkowicz J, Stewart RA, Watts BD, Woeller DJ, Youd TL, Zavodni Z (2000) The Canadian liquefaction experiment: an overview. Can Geotech J 37:499–504
Seed HB (1987) Design problems in soil liquefaction. J Geotech Eng ASCE 113(8):827–45
Seed RB, Harder LF (1990) SPT-based analysis of cyclic pore pressure generation and undrained residual strength. In: Duncan JM (ed) Proceedings of seed memorial symposium. BiTech Publishers, Vancouver, British Columbia, pp 351–76
Seid-Karbasi M, Byrne PM (2007) Seismic liquefaction, lateral spreading, and flow slides: a numerical investigation into void redistribution. Can Geotech J 44(7):873–890
Sento N, Kazama M, Uzuoka R, Ohmura H, Ishimaru M (2004) Possibility of postliquefaction flow failure due to seepage. J Geotech Geoenviron Eng 130(7):707–716
Tokimatsu K, Taya Y, Zhang JM (2001) Effects of pore water redistribution on post-liquefaction deformation of sands. In: Proceedings of 15th international conference on soil mechanics and geotechnical engineering, Vol. 1. Balkema, Rotterdam, pp 289–292
Uchida K, Vaid YP (1994) Sand behavior under strain path control. In: Proceedings of 8th international conference on soil mechanics, and geotechnical engineering, Vol. 1. Balkema, Rotterdam, pp 17–20
Vaid YP, Eliadorani AA (1998) Instability and liquefaction of granular soils under undrained and partially drained states. Can Geotech J 35:1053–1062
Vardoulakis I (1989) Shear-banding and liquefaction in granular materials on the basis of a Cosserat continuum theory. Ingenieur-Archiv 59:106–113
Whitman RV (1985) On liquefaction. In: Proceedings of 11th international conference on soil mechanics and foundation engineering. Balkema, San Francisco, pp 1923–1926
Wride CE, McRoberts EC, Robertson PK (1999) Reconsideration of case histories for estimating undrained shear strength in sandy soils. Can Geotech J 36:907–933
Yang Z, Elgamal AW (2002) Influence of permeability on liquefaction-induced shear deformation. J Eng Mech 128(7):720–729
Yoshida N, Finn WDL (2000) Simulation of liquefaction beneath an impermeable surface layer. Soil Dyn Earthq Eng 19:333–338
Yoshimine M, Nishizaki H, Amano K, Hosono Y (2006) Flow deformation of liquefied sand under constant shear load and its application to analysis of flow slide of infinite slope. Soil Dyn Earthq Eng 26(2–4):253–264
Ziotopoulou K, Boulanger RW (2012) Constitutive modeling of duration and overburden effects in liquefaction evaluations. In: Proceedings of second international conference on performance-based design in earthquake geotechnical engineering. Taormina, Italy, May 28–30, paper 03.10
Ziotopoulou K, Boulanger RW (2013) Calibration and implementation of a sand plasticity plane-strain model for earthquake engineering applications. J Soil Dyn Earthq Eng 53:268–280
Acknowledgments
Funding for portions of this research was provided the U.S. Geological Survey through Award G09AP00121. Support for K. Ziotopoulou was provided by the 2008 International Fulbright Science and Technology Award from the Institute of International Education and the U.S. Department of State. The authors appreciate the above financial support, the helpful comments and suggestions of I. M. Idriss, and the assistance of numerous other colleagues with various aspects of the work presented herein.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Boulanger, R.W., Kamai, R. & Ziotopoulou, K. Liquefaction induced strength loss and deformation: simulation and design. Bull Earthquake Eng 12, 1107–1128 (2014). https://doi.org/10.1007/s10518-013-9549-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-013-9549-x