Technical Papers
Feb 14, 2022

Generic Predictive Model of Earthquake-Induced Slope Displacements Derived from Finite-Element Analysis

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 148, Issue 4

Abstract

A generic predictive model of earthquake-induced slope displacement subjected to shallow crustal earthquake events is developed using displacements computed from finite-element (FE) analysis. The maximum displacement on the slope surface at the end of shaking was computed by nonlinear FE simulations for 49 slope models each subjected to 1051 earthquake motions. A unified predictive model of seismic displacement is developed that characterizes the slope in terms of its yield acceleration (ky), the depth of the slip surface relative to the height of the slope (Hratio), and the natural period of the full slope height (Tslope). Across five intensity measures and 10 combinations of intensity measures, peak ground velocity (PGV) is found to be the most efficient parameter for the displacement prediction, leading to significantly smaller aleatory variability. The displacement variability is partitioned into two components: between-slope variability, which represents the variability associated with different slope models, and within-slope variability, which represents the variability due to different input ground motions. The developed generic predictive model can be applied to the probabilistic seismic hazard analysis of slope movements and used for deterministic earthquake scenarios in the design/analysis process.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code generated or used during the study are available in a repository or online in accordance with funder data retention policies. These data are available at Cho and Rathje (2021).

Acknowledgments

This work was partially supported by Grant CMMI-1520817 from the National Science Foundation, a gift from Pacific Gas and Electric, and the Janet S. Cockrell Centennial Chair in Engineering at the University of Texas. This support is gratefully acknowledged. The authors also thank Dr. Jongwon Lee and anonymous reviewers who provided their valuable insights and meticulous comments that enhanced the quality of the manuscript.

References

Arias, A. 1970. A measure of earthquake intensity. Cambridge, MA: MIT Press.
Bolisetti, C., A. Whittaker, and J. Coleman. 2018. “Linear and nonlinear soil-structure interaction analysis of buildings and safety-related nuclear structures.” Soil Dyn. Earthquake Eng. 107 (Apr): 218–233. https://doi.org/10.1016/j.soildyn.2018.01.026.
Brandenberg, S. J., N. Bellana, and T. Shantz. 2010. “Shear wave velocity as function of standard penetration test resistance and vertical effective stress at California bridge sites.” Soil Dyn. Earthquake Eng. 30 (10): 1026–1035. https://doi.org/10.1016/j.soildyn.2010.04.014.
Bray, J. D., and J. Macedo. 2019. “Procedure for estimating shear-induced seismic slope displacement for shallow crustal earthquakes.” J. Geotech. Geoenviron. Eng. 145 (12): 04019106. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002143.
Bray, J. D., and T. Travasarou. 2007. “Simplified procedure for estimating earthquake-induced deviatoric slope displacements.” J. Geotech. Geoenviron. Eng. 133 (4): 381–392. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:4(381).
Cho, Y., and E. Rathje. 2021. “Simulations of earthquake-induced permanent slope displacements of generic earth slopes using LS-Dyna.” DesignSafe-CI. https://doi.org/10.17603/ds2-jysn-dt71.
Cornell, C. A., and N. Luco. 2001. “Ground motion intensity measures for structural performance assessment at near-fault sites.” In Proc., US-Japan Joint Workshop and 3rd Grantees Meeting, US-Japan Cooperative Research on Urban EQ. Washignton, DC: National Science Foundation.
Darendeli, M. B. 2001. “Development of a new family of normalized modulus reduction and material damping curves.” Ph.D. dissertation, Univ. of Texas.
Dickenson, S. E. 1994. “Dynamic response of soft and deep cohesive soils during the Loma Prieta earthquake of October 17, 1989.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of California.
Ellison, K., A. Masroor, I. Almufti, M. Willford, and N. O’Riordan. 2015. “Structure-soil-structure interaction analysis in a highly seismic, dense urban regeneration zone.” In Proc., 6th Int. Conf. on Earthquake Geotechnical Engineering. London: International Society for Soil Mechanics and Geotechnical Engineering.
EPRI (Electrical Power Research Institute). 1988. A criterion for determining exceedance of the operating basis earthquake. Palo Alto, CA: EPRI.
Fotopoulou S. D., and K. D. Pitilakis. 2015. “Predictive relationships for seismically induced slope displacements using numerical analysis results.” Bull. Earthquake Eng. 13 (11): 3207–3238. https://doi.org/10.1007/s10518-015-9768-4.
Groholski, D. R., Y. M. A. Hashash, B. Kim, M. Musgrove, J. Harmon, and J. P. Stewart. 2016. “Simplified model for small-strain nonlinearity and strength in 1D seismic site response analysis.” J. Geotech. Geoenviron. Eng. 142 (9): 04016042. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001496.
Hale, C. D. 2019. “A transfer function model for deformation hazard analysis of earthen dams.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of California.
Hashash, Y. M. A., M. I. Musgrove, J. A. Harmon, O. Ilhan, G. Xing, O. Numanoglu, D. R. Groholski, C. A. Phillips, and D. Park. 2020. DEEPSOIL 7, user manual. Urbana, IL: Univ. of Illinois at Urbana-Champaign.
LSTC (Livermore Software Technology Corporation). 2018. LS-DYNA keyword user’s manual version volume I, R11. Livermore, CA: LSTC.
Makdisi, F. I., and H. B. Seed. 1978. “Simplified procedure for estimating dam and embankment earthquake induced deformations.” J. Geotech. Eng. Div. 104 (7): 849–867. https://doi.org/10.1061/AJGEB6.0000668.
Motamed, R., K. Stanton, I. Almufti, K. Ellison, and M. Willford. 2016. “Improved approach for modeling nonlinear site response of highly strained soils: Case study of the service hall array in Japan.” Earthquake Spectra 32 (2): 1055–1074. https://doi.org/10.1193/121714eqs212m.
Musgrove, M., Y. Hashash, S. Dashti, K. Gillis, M. Walker, and K. Ellison. 2017. “Centrifuge and numerical modeling of shallow underground structures adjacent to tall buildings.” In Proc., 16th World Conf. on Earthquake. Tokyo: International Association for Earthquake Engineering.
Newmark, N. 1967. “Problems in wave propagation in soil and rock.” In Proc., Int. Symp. on Wave Propagation and Dynamic Properties of Earth Materials, 7–26. Albuquerque, NM: University of New Mexico Press.
Newmark, N. M. 1965. “Effects of earthquakes on dams and embankments.” Géotechnique 15 (2): 139–160. https://doi.org/10.1680/geot.1965.15.2.139.
Padgett, J. E., B. G. Nielson, and R. DesRoches. 2008. “Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios.” Earthquake Eng. Struct. Dyn. 37 (5): 711–725. https://doi.org/10.1002/eqe.782.
Pinheiro, J. C., and D. M. Bates. 2000. Mixed-effects models in S and S-PLUS. New York: Springer.
Rathje, E. M., et al. 2017. “DesignSafe: A new cyberinfrastructure for natural hazards engineering.” Nat. Hazards Rev. 18 (3): 06017001. https://doi.org/10.1061/(ASCE)NH.1527-6996.0000246.
Rathje, E. M., and G. Antonakos. 2011. “A unified model for predicting earthquake-induced sliding displacements of rigid and flexible slopes.” Eng. Geol. 122 (1): 51–60. https://doi.org/10.1016/j.enggeo.2010.12.004.
Rathje, E. M., and J. D. Bray. 1999. “An examination of simplified earthquake-induced displacement procedures for earth structures.” Can. Geotech. J. 36 (1): 72–87. https://doi.org/10.1139/t98-076.
Rathje, E. M., and J. D. Bray. 2000. “Nonlinear coupled seismic sliding analysis of earth structures.” J. Geotech. Geoenviron. Eng. 126 (11): 1002–1014. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:11(1002).
Rathje, E. M., F. Faraj, S. Russell, and J. D. Bray. 2004. “Empirical relationships for frequency content parameters of earthquake ground motions.” Earthquake Spectra 20 (1): 119–144.
Rathje, E. M., and G. Saygili. 2009. “Probabilistic assessment of earthquake-induced sliding displacements of natural slopes.” Bull. New Zealand Soc. Earthquake Eng. 42: 18–27.
Reed, J. W., and R. P. Kassawara. 1990. “A criterion for determining exceedance of the operating basis earthquake.” Nucl. Eng. Des. 123 (2–3): 387–396. https://doi.org/10.1016/0029-5493(90)90259-Z.
Saygili, G., and E. M. Rathje. 2008. “Empirical predictive models for earthquake-induced sliding displacements of slopes.” J. Geotech. Geoenviron. Eng. 134 (6): 790–803. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:6(790).
Song, J., Y. Gao, and T. Feng. 2020. “Influence of interactions between topographic and soil layer amplification on seismic response of sliding mass and slope displacement.” Soil Dyn. Earthquake Eng. 129 (Feb): 105901. https://doi.org/10.1016/j.soildyn.2019.105901.
Song, J., Y. Gao, T. Feng, and G. Xu. 2018. “Effect of site condition below slip surface on prediction of equivalent seismic loading parameters and sliding displacement.” Eng. Geol. 242 (Aug): 169–183. https://doi.org/10.1016/j.enggeo.2018.05.003.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 148Issue 4April 2022

History

Received: Nov 23, 2020
Accepted: Nov 23, 2021
Published online: Feb 14, 2022
Published in print: Apr 1, 2022
Discussion open until: Jul 14, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Postdoctoral Fellow, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas, Austin, TX 78712 (corresponding author). ORCID: https://orcid.org/0000-0001-7873-1338. Email: [email protected]
Ellen M. Rathje, F.ASCE
Janet S. Cockrell Centennial Chair in Engineering, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas, Austin, TX 78712.

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

  • Semiempirical Predictive Models for Seismically Induced Slope Displacements Considering Ground Motion Directionality, Journal of Geotechnical and Geoenvironmental Engineering, 10.1061/JGGEFK.GTENG-11930, 150, 9, (2024).
  • Generic Models for Predicting Coseismic Displacements of Earth Slopes Based on Numerical Analysis and Machine Learning Algorithm, Journal of Geotechnical and Geoenvironmental Engineering, 10.1061/JGGEFK.GTENG-11764, 150, 9, (2024).
  • Influence of the Displacement Predictive Relationships on the Probabilistic Seismic Analysis of Slopes, Journal of Geotechnical and Geoenvironmental Engineering, 10.1061/JGGEFK.GTENG-11162, 149, 6, (2023).
  • Insights into Seismic Deformation Patterns for Shallow and Deep Sliding Masses Using Finite Element Analysis, Geo-Congress 2023, 10.1061/9780784484654.033, (324-333), (2023).
  • Insights into seismic slope deformation patterns using finite element analysis, Soil Dynamics and Earthquake Engineering, 10.1016/j.soildyn.2022.107660, 164, (107660), (2023).

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