Technical Papers
Nov 20, 2013

First-Order Reliability Method for Probabilistic Evaluation of Liquefaction Potential of Soil Using Genetic Programming

Publication: International Journal of Geomechanics
Volume 15, Issue 3

Abstract

In this paper, liquefaction-triggering potential of soil is evaluated in terms of probability of liquefaction (PL) using a first-order reliability method (FORM). First, an empirical model for determining the cyclic resistance ratio (CRR) of the soil was developed using multigene genetic programming (MGGP), an evolutionary artificial intelligence technique, based on the postliquefaction cone penetration test (CPT) data. This developed resistance model, along with the existing cyclic stress ratio (CSR) model, formed a limit-state function for a reliability-based approach to liquefaction-triggering analysis. The model uncertainty of the developed limit-state function was determined through an extensive reliability analysis following a trial-and-error approach, using Bayesian mapping functions that were calibrated with actual liquefaction field-performance observations of a high-quality, postliquefaction case-history database. A deterministic model with a mapping function relating PL and factor of safety against liquefaction (Fs) also was developed for use in the absence of parameter uncertainties. An example is presented to compare the present MGGP-based reliability method with the available ANN-based reliability method.

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References

Alavi, A. H., Aminian, P., Gandomi, A. H., and Esmaeili, M. A. (2011). “Genetic-based modeling of uplift capacity of suction caissons.” Expert Syst. Appl., 38(10), 12608–12618.
Baecher, G. B., and Christian, J. T. (2003). Reliability and statistics in geotechnical engineering, Wiley, London.
Cornell, C. A. (1969). “A probability-based structural code.” ACI J., 66(12), 974–985.
Das, S. K., and Basudhar, P. K. (2008). “Prediction of residual friction angle of clays using artificial neural network.” Eng. Geol., 100(3–4), 142–145.
Der Kiureghian, A., Lin, H.-Z., and Hwang, S.-J. (1987). “Second-order reliability approximations.” J. Eng. Mech., 1208–1225.
Gandomi, A. H., and Alavi, A. H. (2012a). “A new multi-gene genetic programming approach to nonlinear system modeling. Part I: Materials and structural engineering problems.” Neural Comput. Appl., 21(1), 171–187.
Gandomi, A. H., and Alavi, A. H. (2012b). “A new multi-gene genetic programming approach to nonlinear system modeling. Part II: Geotechnical and earthquake engineering problems.” Neural Comput. Appl., 21(1), 189–201.
Gavin, K., and Xue, J. F. (2008). “A simple approach to analyse infiltritation into unsaturated slopes.” Comput. Geotech., 35(2), 223–230.
Gavin, K., and Xue, J. F. (2009). “Use of genetic algorithm to perform reliability analysis of unsaturated soil slopes.” Geotechnique, 59(6), 545–549.
Giustolisi, O., Doglioni, A., Savic, D. A., and Webb, B. W. (2007). “A multi-model approach to analysis of environmental phenomena.” Environ. Modell. Softw., 22(5), 674–682.
Goh, A. T. C. (1996). “Neural-network modeling of CPT seismic liquefaction data.” J. Geotech. Engrg., 70–73.
Goh, A. T. C., and Goh, S. H. (2007). “Support vector machines: Their use in geotechnical engineering as illustrated using seismic liquefaction data.” Comput. Geotech., 34(5), 410–421.
Haldar, A., and Mahadevan, S. (2000). Probability, reliability, and statistical methods in engineering design, Wiley, New York.
Haldar, A., and Tang, W. H. (1979). “Probabilistic evaluation of liquefaction potential.” J. Geotech. Engrg. Div., 105(2), 145–163.
Hasofer, A. M., and Lind, N. C. (1974). “Exact and invariant second-moment code format.” J. Engrg. Mech. Div., 100(1), 111–121.
Idriss, I. M., and Boulanger, R. W. (2006). “Semi-empirical procedures for evaluating liquefaction potential during earthquakes.” Soil. Dyn. Earthquake Eng., 26(2–4), 115–130.
Jafarian, Y., Vakili, R., Abdollahi, A. S., and Baziar, M. H. (2014). “Simplified soil liquefaction assessment based on cumulative kinetic energy density: Attenuation law and probabilistic analysis.” Int. J. Geomech., 267–281.
Javadi, A. A., Rezania, M., and Nezhad, M. M. (2006). “Evaluation of liquefaction induced lateral displacements using genetic programming.” Comput. Geotech., 33(4–5), 222–233.
Jefferies, M. G., Rogers, B. T., Griffin, K. M., and Been, K. (1989). “Characterization of sand fills with cone penetration test.” Penetration testing in the U.K., Thomas Telford, London, 199–202.
Juang, C. H., Chen, C. J., and Jiang, T. (2001). “Probabilistic framework for liquefaction potential by shear wave velocity.” J. Geotech. Geoenviron. Eng., 670–678.
Juang, C. H., Chen, C. J., Rosowsky, D. V., and Tang, W. H. (2000). “CPT-based liquefaction analysis, Part 2: Reliability for design.” Geotechnique, 50(5), 593–599.
Juang, C. H., Fang, S. Y., and Khor, E. H. (2006). “First-order reliability method for probabilistic liquefaction triggering analysis using CPT.” J. Geotech. Geoenviron. Eng., 337–350.
Juang, C. H., Jiang, T., and Andrus, R. D. (2002). “Assessing probability-based methods for liquefaction potential evaluation.” J. Geotech. Geoenviron. Eng., 580–589.
Juang, C. H., Rosowsky, D. V., and Tang, W. H. (1999). “Reliability-based method for assessing liquefaction potential of soils.” J. Geotech. Geoenviron. Eng., 684–689.
Juang, C. H., Yuan, H., Lee, D.-H., and Lin, P.-S. (2003). “Simplified cone penetration test-based method for evaluating liquefaction resistance of soils.” J. Geotech. Geoenviron. Eng., 66–80.
Koza, J. R. (1992). Genetic programming: On the programming of computers by natural selection, MIT Press, Cambridge, MA.
Krammer, S. L. (1996). Geotechnical earthquake engineering, Pearson Education, New Delhi, India.
Liao, S. S. C., Veneziano, D., and Whitman, R. V. (1988). “Regression models for evaluating liquefaction probability.” J. Geotech. Engrg., 389–411.
Lin, P.-L. (1991). “Optimization algorithms for structural reliability.” Struct. Saf., 9(3), 161–177.
Low, B. K., and Tang, W. H. (1997). “Efficient reliability evaluation using spreadsheet.” J. Eng. Mech., 749–752.
MATLAB 6.5 [Computer software]. Natick, MA, MathWorks.
Moss, R. E. S. (2003). “CPT-based probabilistic assessment of seismic soil liquefaction initiation.” Ph.D. dissertation, Univ. of California, Berkeley, CA.
Moss, R. E. S., Seed, R. B., Kayen, R. E., Stewart, J. P., and Tokimatsu, K. (2005). “Probabilistic liquefaction triggering based on the cone penetration test.” Proc., Geo-Frontiers 2005: Earthquake Engineering and Soil Dynamics, R. W. Boulanger et al., eds. ASCE, Reston, VA, 1–13.
Muduli, P. K., Das, M. R., Samui, P., and Das, S. K. (2013). “Uplift capacity of suction caisson in clay using artificial intelligence techniques.” Mar. Georesour. Geotechnol., 31(4), 375–390.
Muduli, P. K., and Das, S. K. (2014). “CPT-based seismic liquefaction potential evaluation using multi-gene genetic programming approach.” Indian Geotech. J., 44(1), 86–93.
Olsen, R. S. (1997). “Cyclic liquefaction based on cone penetrometer test.” Proc., NCEER Workshop on Evaluation of Liquefaction Resistance of Soils, T. L. Youd and I. M. Idriss, eds., National Center for Earthquake Engineering Research, State Univ. of New York at Buffalo, Buffalo, NY, 225–276.
Oommen, T., and Baise, L. G. (2010). “Model development and validation for intelligent data collection for lateral spread displacements.” J. Comput. Civ. Eng., 467–477.
Pal, M. (2006). “Support vector machines-based modelling of seismic liquefaction potential.” Int. J. Numer. Anal. Methods Geomech., 30(10), 983–996.
Phoon, K. K., and Kulhawy, F. H. (2005). “Characterization of model uncertainties for lateral loaded rigid drilled shafts.” Geotechnique, 55(1), 45–54.
Rackwitz, R., and Fiessler, B. (1978). “Structural reliability under combined random load sequences.” Comp. Struct., 9(5), 489–494.
Rezania, M., and Javadi, A. A. (2007). “A new genetic programming model for predicting settlement of shallow foundations.” Can. Geotech. J., 44(12), 1462–1473.
Robertson, P. K., and Campanella, R. G. (1985). “Liquefaction potential of sands using the CPT.” J. Geotech. Engrg., 384–403.
Robertson, P. K., and Wride, C. E. (1998). “Evaluating cyclic liquefaction potential using cone penetration test.” Can. Geotech. J., 35(3), 442–459.
Samarajiva, P., Macari, E. J., and Wathugala, W. (2005). “Genetic algorithms for the calibration of constitutive models for soils.” Int. J. Geomech., 206–217.
Samui, P. (2007). “Seismic liquefaction potential assessment by using relevance vector machine.” Earthquake Eng. Eng. Vib., 6(4), 331–336.
Searson, D. P., Leahy, D. E., and Willis, M. J. (2010). “GPTIPS: An open source genetic programming toolbox from multi-gene symbolic regression.” Proc., Int. Multiconference of Engineers and Computer Scientists, Vol. 1, International Association of Engineers (IAENG), Hong Kong, 77–80.
Seed, H. B., and Idriss, I. M. (1971). “Simplified procedure for evaluating soil liquefaction potential.” J. Soil Mech. and Found. Div., 97(9), 1249–1273.
Shibata, T., and Teparaksa, W. (1988). “Evaluation of liquefaction potential of soil using cone penetration tests.” Soils Found., 28(2), 49–60.
Toprak, S., Holzer, T. L., Bennett, M. J., and Tinsley, J. C., III. (1999). “CPT- and SPT-based probabilistic assessment of liquefaction.” Proc., 7th U.S.–Japan Workshop on Earthquake Resistant Design of Lifeline Facilities and Countermeasures against Liquefaction, Multidisciplinary Center for Earthquake Engineering Research, Buffalo, NY, 69–86.
Xue, J., and Gavin, K. (2007). “Simultaneous determination of critical slip surface and reliability index for slopes.” J. Geotech. Geoenviron. Eng., 878–886.
Yang, C., Tham, L., Feng, X., Wang, Y., and Lee, P. (2004). “Two-stepped evolutionary algorithm and its application to stability analysis of slopes.” J. Comput. Civ. Eng., 145–153.
Youd, T., et al. (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. Geoenviron. Eng., 817–833.
Youd, T. L., and Nobble, S. K. (1997). “Liquefaction criteria based statistical and probabilistic analysis.” Proc., NCEER Workshop on Evaluation of Liquefaction Resistance of Soils, Technical Rep. No. NCEER-97-0022, State Univ. of New York at Buffalo, Buffalo, NY, 201–216.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 15Issue 3June 2015

History

Received: Jul 16, 2013
Accepted: Nov 18, 2013
Published online: Nov 20, 2013
Published in print: Jun 1, 2015

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Pradyut Kumar Muduli [email protected]
Research Scholar, Dept. of Civil Engineering, National Institute of Technology, Rourkela, Odisha 769008, India. E-mail: [email protected]
Sarat Kumar Das [email protected]
Associate Professor, Dept. of Civil Engineering, National Institute of Technology, Rourkela, Odisha 769008, India (corresponding author). E-mail: [email protected]

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