Probabilistic assessment of earthquake-induced sliding displacements of natural slopes
The evaluation of earthquake-induced landslides in natural slopes is often based on an estimate of the permanent sliding displacement due to earthquake shaking. Current procedures for estimating sliding displacement do not rigorously account for the significant uncertainties present in the analysis. This paper presents a probabilistic framework for computing the annual rate of exceedance of different levels of displacement such that a hazard curve for sliding displacement can be developed. The analysis incorporates the uncertainties in the prediction of earthquake ground shaking, in the prediction of sliding displacement, and in the assessment of soil properties. Predictive models for sliding displacement that are appropriate for the probabilistic framework are presented. These models include a scalar model that predicts sliding displacement in terms of a single ground motion parameter (peak ground acceleration) and the earthquake magnitude, as well as a vector model that incorporates two ground motion parameters (peak ground acceleration and peak ground velocity). The addition of a second ground motion parameter results in a significant reduction in the standard deviation of the sliding displacement prediction. Comparisons are made between displacement hazard curves developed from the current scalar and vector models and previously developed scalar models that do not include earthquake magnitude. Additionally, an approximation to the vector hazard assessment is presented and compared with the rigorous vector approach. Finally, the inclusion of the soil property uncertainty is shown to increase the mean hazard at a site.
Jibson, R.W., Harp, E.L. and Michael, J.A., (1998) A method for producing digital probabilistic seismic landslide hazard maps: An example from the Los Angeles California area. U.S. Geol. Surv. Open-File Rep. 98-113, 17 pp. DOI: https://doi.org/10.3133/ofr98113
Bray, J.D. and Rathje, E.M. (1998) “Earthquake-Induced Displacements of Solid-Waste Landfills,” J. of Geotechnical and Geoenvironmental Engineering, ASCE, 124(3), 242-253. DOI: https://doi.org/10.1061/(ASCE)1090-0241(1998)124:3(242)
Keefer, D.K., (1984) “Landslides caused by earthquakes.” Geol. Soc. Am. Bull. 95, pp. 406–421. DOI: https://doi.org/10.1130/0016-7606(1984)95<406:LCBE>2.0.CO;2
McCrink, T.P., (2001) “Mapping earthquake-induced landslide hazards in Santa Cruz County” in Ferriz, H. and Anderson, R., editors, Engineering geology practice in northern California: California Geological Survey Bulletin 210 / Association of Engineering Geologists Special Publication 12, p.77-94.
Jibson, R.W., (2007) “Regression models for estimating coseismic landslide displacement.” Eng. Geol. 91, 209– 218. DOI: https://doi.org/10.1016/j.enggeo.2007.01.013
Rathje, E.M. and Saygili, G. (2006) “A Vector Hazard Approach for Newmark Sliding Block Analyses,” Earthquake Geotechnical Engineering Workshop, University of Canterbury, Christchurch, New Zealand, 20-23 November.
Rathje, E.M. and Saygili,G. (2008) “Probabilistic Seismic Hazard Analysis for the Sliding Displacement of Slopes: Scalar and Vector Approaches,” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 134(6), 804-814. DOI: https://doi.org/10.1061/(ASCE)1090-0241(2008)134:6(804)
Cornell, C. A., and Luco, N., (2001) “Ground motion intensity measures for structural performance assessment at near-fault sites,” Proceedings of the U.S.-Japan joint workshop and third grantees meeting, U.S.-Japan Coop. Res. on Urban EQ. Disaster Mitigation, Seattle, Washington.
Luco N. (2002) “Probabilistic Seismic Demand Analysis, SMRF Connection Fractures, and Near-source Effects” Ph.D. Dissertation, Department of Civil and Environmental Engineering, Stanford University, CA.
Bazzurro, P. and Cornell, C.A. (2002) “Vector-Valued Probabilistic Seismic Hazard Analysis (VPSHA),” Seventh U.S. National Conference on Earthquake Engineering, EERI, Vol. II, 1313-1322.
Baker, J.W. and Cornell, C.A. (2005) "A Vector-Valued Ground Motion Intensity Measure Consisting of Spectral Acceleration and Epsilon." Earthquake Engineering & Structural Dynamics, 34 (10), 1193-1217. DOI: https://doi.org/10.1002/eqe.474
Bazzurro, P. (1998) “Probabilistic Seismic Demand Analysis” Ph.D. Dissertation, Department of Civil and Environmental Engineering, Stanford University, CA.
Abrahamson, N. (2007) Personal Communication
Bazzurro, P. (2007) Personal Communication
Baker, J.W. (2007) “Correlation of ground motion intensity parameters used for predicting structural and geotechnical response,” 10th International Conference on Applications of Statistics and Probability in Civil Engineering, Tokyo, Japan.
Baker, J.W. and Jayaram, N. (2008) “Correlation of spectral acceleration values from NGA ground motion models” Earthquake Spectra, EERI, 24(1), 299-318 DOI: https://doi.org/10.1193/1.2857544
Saygili, G. and Rathje, E.M. (2008) “Empirical Predictive Models for earthquake-Induced Sliding Displacements of Slopes,” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 134(6), 790-803. DOI: https://doi.org/10.1061/(ASCE)1090-0241(2008)134:6(790)
Boore, D. M. and Atkinson, G. M. (2008) “Ground-motion Prediction Equations for the Average Horizontal Component of PGA, PGV and 5%-Damped PSA at Spectral Periods between 0.01 s and 10.0 s,” Earthquake Spectra, EERI, 24(1), 99-138. DOI: https://doi.org/10.1193/1.2830434
Keefer, D.L. and Bodily S.E. (1983) “Three Point Approximations for Continuous Random Variables." Management Science, 595-609. DOI: https://doi.org/10.1287/mnsc.29.5.595
Jones, A.L., Kramer, S.L. and Arduino, P. (2002) “Estimation of uncertainty in geotechnical properties for performance-based earthquake engineering.” PEER Report 2002/16, Pacific Earthquake Engineering Research Center, University of California, Berkeley.
Bommer, J.J., Scherbaum, F., Bungum, H., Cotton, F., Sabetta, F., and Abrahamson, N.A. (2005) “On the Use of Logic Trees for Ground-Motion Prediction Equations in Seismic-Hazard Analysis.” Bulletin of the Seismological Society of America, 95(2), 377-389. DOI: https://doi.org/10.1785/0120040073
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