Skip to main content
Log in

Probabilistic and spatial liquefaction analysis using CPT data: a case study for Alameda County site

  • Original Paper
  • Published:
Natural Hazards Aims and scope Submit manuscript

Abstract

Soil liquefaction is one of the major concerns causing damage to the structures in saturated sand deposits during earthquakes. Simplified methods for the assessment of liquefaction potential rely on the limit states that are generally established with built-in conservatism and a great deal of subjectivity. Well-known SPT- and CPT-based methods are widely used in the design practice for this purpose due to their simplicity and reasonable predictive capability. However, these methods do not account for various sources of uncertainties explicitly. Moreover, evaluations are made only at the locations of test results and are generalized for the whole region, which may not give accurate results where spatial variation of soil properties is significant. The present study focuses on the probabilistic evaluation of liquefaction potential of Alameda County site, California, considering spatial variation of soil indices related to CPT soundings. A stochastic soil model is adopted for this purpose using random field theory and principles of geostatistics by developing 2D exponential correlation functions. It has been observed that the probability of liquefaction is significantly underestimated as much as 34 %, if the spatial dependence of soil indices is not considered. Further, the effect of spatial variation is more prominent in low-level earthquakes compared to the high-level earthquakes, showing a 41.5 % deviation for magnitude 8.1 and a 60.5 % deviation for magnitude 5.0 earthquake at a depth of 10 m.

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.

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

Similar content being viewed by others

References

  • Baker JW, Faber MH (2008) Liquefaction risk assessment using geostatistics to account for soil spatial variability. J Geotech Geoenviron Eng 134(1):14–27

    Article  Google Scholar 

  • Caballero FL, Razavi AMF (2010) Assessment of variability and uncertainties on the seismic response of the soil profile. Soil Dyn Earthq Eng 30(7):600–613

    Article  Google Scholar 

  • Campbell KW (1997) Empirical near-source attenuation relationships for horizontal and vertical components of peak ground acceleration, peak ground velocity, and pseudo-absolute acceleration response spectra. Seismol Res Lett 68(1):154–179

    Article  Google Scholar 

  • Cetin K, Seed R, Der Kiureghian A, Tokimatsu K, Harder L, Kayen R, Moss R (2004) Standard penetration test-based probabilistic and deterministic assessment of seismic soil liquefaction potential. J Geotech Geoenviron Eng 130(12):1314–1340

    Article  Google Scholar 

  • Cressie NA (1993) Statistics for spatial data. J. Wiley, Canada

    Google Scholar 

  • DeGroot DJ, Baecher GB (1993) Estimating autocovariance of in-situ soil properties. J Geotech Eng 119(1):147–166

    Article  Google Scholar 

  • FEMA 356: (2000) Prestandard and commentary for the seismic rehabilitation of buildings. American Society of Engineers, Virginia

    Google Scholar 

  • Fenton GA (1999) Random field modeling of cpt data. J Geotech Geoenviorn Eng 125(6):486–498

    Article  Google Scholar 

  • Fenton GA, Griffiths DV (2008) Risk Assessment in geotechnical engineering. J. Wiley, New Jerrsey

    Book  Google Scholar 

  • Fenton GA, Vanmarcke EH (1998) Spatial variation in liquefaction risk. Geotechnique 48(6):819–831

    Article  Google Scholar 

  • Haldar A, Mahadhevan S (2000) Probability,reliability and statistical methods in engineering design. J. Wiley, New York

    Google Scholar 

  • Halder A, Tang WH (1979) Probabilistic evaluation of liquefaction potential. J Geotech Eng 105(2):145–163

    Google Scholar 

  • Hwang JH, Yang CW (2004) A practical realiability based method in assessing soil liquefaction. Soil Dyn Eartq Eng 24(9):761–770

    Article  Google Scholar 

  • IBC: (2006) International building code. International Code Council, Delmar Publishers, Stamford

    Google Scholar 

  • Idriss IM, Boulanger RW (2008) Soil Liquefaction during earthquakes. Earthquake Engineering Research Institute, USA

    Google Scholar 

  • Jha SK, Suzuki K (2009) Reliabilty analysis of soil liquefaction based on standard penetration test. Comput Geotech 36:589–596

    Article  Google Scholar 

  • Johari A, Khodaparast AR (2013) Modelling of probability liquefaction based on standard penetration tests using the jointly distributed random variables method. Eng Geol 158(1):1–14

    Article  Google Scholar 

  • Juang CH, Rosowsky DV, Tang WH (1991) Reliability based method for assessing liquefaction potential of soils. J Geotech Geoenviorn Eng 125(8):684–688

    Article  Google Scholar 

  • Juang CH, Chen CJ, V RD (2000) Cpt-based liquefaction analysis, part 2: reliabilty design. Geotechnique 50(5):593–599

    Article  Google Scholar 

  • Juang CH, Tang WH, V RD (2000) Cpt-based liquefaction analysis, part 1: determination of limit state function. Geotechnique 50(5):583–592

    Article  Google Scholar 

  • Lio SS, Whitman RV (1988) Regression models for evaluating liquefaction probability. J Geotech Eng 114(4):389–411

    Article  Google Scholar 

  • Liu CN, Chen CH (2006) Mapping liquefaction potential considering spatial correlations. J Geotech Geoenviron Eng 132(9):1178–1189

    Article  Google Scholar 

  • NEHRP: (2003) Recommended provisions for seismic regulations for new buildings. Building Seismic Safety Council, Washington

    Google Scholar 

  • Phoon KK, Kulhawy LG (1999) Characterization of geotechnical variability. Can Geotech J 36:612–624

    Article  Google Scholar 

  • Pokhrel KJMR, Tachibana S (2013) A kriging method of interpolation used to map liquefaction potential over alluvial ground. Eng Geol 152(1):26–37

    Article  Google Scholar 

  • Popescu PJH R, Deodatis G (1997) Effects of spatial variability on soil liquefaction: some design recommendations. Geotechnique 47(5):1019–1036

    Article  Google Scholar 

  • Popescu PJH R, Deodatis G (2005) 3d effects in seismic liquefaction of stochastically variable soil deposits. Geotechnique 55(1):21–31

    Article  Google Scholar 

  • Robertson PK, Wride CE (1998) Evaluation of cyclic liquefaction potential using the cone penetration test. Can Geotech J 35(1):442–459

    Article  Google Scholar 

  • Seed HB, Tokimatsu K, Harder LF, M CR (1985) Influence of spt procedures in soil liquefaction resistance evaluations. J Geotech Eng 111(12):1425–1445

    Article  Google Scholar 

  • Topark S, L HT, J BM (1999) Cpt- and spt-based probabilistic assessment of liquefaction. In: Proceedings of 7th US–Japan workshop on earthquake resistant design of lifeline facilities and counter-measures against liquefaction, Seattle

  • Villaverde R (2009) Fundamental concepts of earthQuake engineering. CRC Press, New York

    Google Scholar 

  • Youd TL, Idriss IM, Andrus RD, Arango I, Castro G, Christian JT, Dobry R, Finn L, Harder LF, Hynes ME, Ishihara KI, Koester J, Liao SC, Marcuson WF, R MG, Mitchell JK, Moriwaki Y, Power MS, Robertson PK, Seed RB, H SK (2001) Liquefaction resistance of soils: summary report from the 1996 nceer and 1998 nceer/nsf workshops on evaluation of liquefaction resistance of soils. J Geotech Geoenviorn Eng 127(10):817–833

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Prishati Raychowdhury.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vivek, B., Raychowdhury, P. Probabilistic and spatial liquefaction analysis using CPT data: a case study for Alameda County site. Nat Hazards 71, 1715–1732 (2014). https://doi.org/10.1007/s11069-013-0976-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11069-013-0976-4

Keywords

Navigation