Technical Papers
Apr 13, 2018

Application of a Probabilistic Assessment of the Permanent Seismic Displacement of a Slope

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 144, Issue 6

Abstract

Predicting the seismic performance of slopes involves an assessment of the expected permanent sliding displacement induced by ground shaking. Often, this analysis uses a deterministic approach that predicts sliding displacements using one level of ground shaking and the best-estimate slope properties (e.g., soil shear strengths). However, this approach does not consider the variability inherent in the prediction of sliding displacement, nor the uncertainties regarding slope properties. A probabilistic framework computes a displacement hazard curve using: (1) the entire ground motion hazard curve from a probabilistic seismic hazard analysis, (2) a model for predicting the dynamic response of the sliding mass, and (3) a model for predicting the sliding displacement of the sliding mass. A logic tree can also be included, which incorporates the uncertainties in the input parameters for the displacement calculation. This probabilistic framework is demonstrated through application to a slope at a site in California. The results of this analysis show that the probabilistic approach predicts displacements larger than the deterministic approach, which is a direct result of accounting for the uncertain inputs into the analysis. Incorporating these uncertainties and variability into an analysis via the probabilistic approach better captures the seismic risk associated with seismic slope movements and provides a mechanism to account for a reduction in seismic risk when uncertainties are reduced through additional data collection.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

We gratefully acknowledge the contribution of Dr. Thaleia Travasarou in providing the detailed information regarding the site analyzed as part of this study and reviewing this manuscript. Financial support for this work was provided by the USGS, Department of the Interior, under Grant No. G12AP20083. The views and conclusions contained in this document are those of the authors and should not be interpreted as necessarily representing the official policies, either expressed or implied, of the U.S. government.

References

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, 24(1), 99–138.
Bray, J. D., and Rathje, E. M. (1998). “Earthquake-induced displacements of solid-waste landfills.” J. Geotech. Geoenviron. Eng., 242–253.
Bray, J. D., and Travasarou, T. (2007). “Simplified procedure for estimating earthquake-induced deviatoric slope displacements.” J. Geotech. Geoenviron. Eng., 381–392.
Campbell, K. W., and Bozorgnia, Y. (2008). “NGA ground motion model for the geometric mean horizontal component of PGA, PGV, PGD and 5% damped linear elastic response spectra for periods ranging from 0.01 to 10 s.” Earthquake Spectra, 24(1), 139–171.
Chiou, B. J., and Youngs, R. R. (2008). “An NGA model for the average horizontal component of peak ground motion and response spectra.” Earthquake Spectra, 24(1), 173–215.
Christian, J. T., Ladd, C. C., and Baecher, G. B. (1994). “Reliability applied to slope stability analysis.” J. Geotech. Eng., 2180–2207.
Dickenson, S. E. (1994). “Dynamic response of soft and deep cohesive soils during the Loma Prieta earthquake of October 17, 1989.” Ph.D. dissertation, Univ. of California, Berkeley, CA.
Duncan, J. M., Wright, S. G., and Brandon, T. (2014). Soil strength and slope stability, Wiley, New York.
Ghahraman, V. G., and Yegian, M. K. (1996). “Risk analysis for earth-induced permanent deformation of earth dams.” Proc., 11th World Conf. on Earthquake Engineering, International Association for Earthquake Engineering, Acapulco, Mexico.
Jibson, R. W. (2007). “Regression models for estimating coseismic landslide displacement.” Eng. Geol., 91(2–4), 209–218.
Jibson, R. W., Harp, E. L., and Michael, J. A. (2000). “A method for producing digital probabilistic seismic landslide hazard maps.” Eng. Geol., 58(3–4), 271–289.
Keefer, D. L., and Bodily, S. E. (1983). “Three point approximations for continuous random variables.” Manage. Sci., 29(5), 595–609.
Kramer, S., and Smith, M. (1997). “Modified Newmark model for seismic displacements of compliant slopes.” J. Geotech. Geoenviron. Eng., 635–644.
Makdisi, F. I., and Seed, H. B. (1978). “Simplified procedure for estimating dam and embankment earthquake-induced deformation.” J. Geotech. Eng. Div., 104, 849–867.
Newmark, N. (1965). “Effects of earthquakes on dams and embankments.” Geotechnique, 15(2), 139–160.
Petersen, M. D., et al. (2008). “Documentation for the 2008 Update of the United States National Seismic Hazard Maps.”, U.S. Geological Survey, Reston, VA.
Rathje, E., and et al. (2017). “DesignSafe: A new cyberinfrastructure for natural hazards engineering.” Nat. Hazards Rev., 06017001.
Rathje, E. M., and Antonakos, G. (2011). “A unified model for predicting earthquake-induced sliding displacements of rigid and flexible slopes.” Eng. Geol., 122(1–2), 51–60.
Rathje, E. M., and Bray, J. D. (1999). “An examination of simplified earthquake-induced displacement procedures for earth structures.” Can. Geotech. J., 36(1), 72–87.
Rathje, E. M., and Bray, J. D. (2000). “Nonlinear coupled seismic sliding analysis of earth structures.” J. Geotech. Geoenviron. Eng., 1002–1014.
Rathje, E. M., Faraj, F., Russell, S., and Bray, J. D. (2004). “Empirical relationships for frequency content parameters of earthquake ground motions.” Earthquake Spectra, 20(1), 119–144.
Rathje, E. M., and Saygili, G. (2008). “Probabilistic seismic hazard analysis for the sliding displacement of slopes: Scalar and vector approaches.” J. Geotech. Geoenviron. Eng., 804–814.
Rathje, E. M., and Saygili, G. (2009). “Probabilistic assessment of earthquake-induced sliding displacements of natural slopes.” Bull. N. Z. Soc. Earthquake Eng., 42(1), 18–27.
Rathje, E. M., and Saygili, G. (2011). “Pseudo-probabilistic versus fully probabilistic estimates of sliding displacements of slopes.” J. Geotech. Geoenviron. Eng., 208–217.
Rathje, E. M., Wang, Y., Stafford, P., Antonakos, G., and Saygili, G. (2014). “Probabilistic assessment of the seismic performance of slopes.” Bull. Earthquake Eng., 12(3), 1071–1090.
Saygili, G., Rathje, E., and Wang, Y. (2018a). “Probabilistic seismic hazard analysis for the sliding displacement of rigid sliding masses [Data set].” Designsafe-CI ⟨https://doi.org/10.17603/ds22d6k⟩ (Feb. 7, 2018).
Saygili, G., Rathje, E., and Wang, Y. (2018b). “Probabilistic seismic hazard analysis for the sliding displacement of flexible sliding masses [Data set].” Designsafe-CI. ⟨https://doi.org/10.17603/ds2xq1j⟩ (Feb. 7, 2018).
Saygili, G., and Rathje, E. M. (2008). “Empirical predictive models for earthquake-induced sliding displacements of slopes.” J. Geotech. Geoenviron. Eng., 790–803.
Travasarou, T., Bray, J. B., and Der Kiureghian, A. (2004). “A probabilistic methodology for assessing seismic slope displacements.” Proc., 13th World Conf. on Earthquake Engineering, International Association for Earthquake Engineering, Vancouver, BC, Canada.
USGS. (2008). “USGS hazard curve application.” ⟨http://geohazards.usgs.gov/hazardtool/⟩ (Dec. 2013).
Wang, Y. (2014). “Probabilistic assessments of the seismic stability of slopes: Improvements to site-specific and regional analyses.” Ph.D. dissertation, Univ. of Texas at Austin, Austin, TX.
Wang, Y., and Rathje, E. (2015). “Probabilistic seismic landslide hazard maps including epistemic uncertainty.” Eng. Geol., 196, 313–324.
Whitman, R. V. (2000). “Organizing and evaluating uncertainty in geotechnical engineering.” J. Geotech. Geoenviron. Eng., 583–593.
Yegian, M. K., Marciano, E. A., and Ghahraman, V. G. (1991a). “Earthquake-induced permanent deformations: Probabilistic approach.” J. Geotech. Eng., 35–50.
Yegian, M. K., Marciano, E. A., and Ghahraman, V. G. (1991b). “Seismic risk analysis for earth dams.” J. Geotech. Eng., 18–34.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 144Issue 6June 2018

History

Received: Feb 7, 2017
Accepted: Nov 21, 2017
Published online: Apr 13, 2018
Published in print: Jun 1, 2018
Discussion open until: Sep 13, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Yubing Wang, M.ASCE
Assistant Professor, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou, Zhejiang 310058, China.
Warren S. Bellows Professor, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas, Austin, TX 78712 (corresponding author). ORCID: https://orcid.org/0000-0002-4169-7153. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share