Technical Papers
Jul 7, 2023

A Novel Limit-Equilibrium Method Based on Increments of Interslice Forces for Stability Analysis of Slopes with Weak Interlayers

Publication: International Journal of Geomechanics
Volume 23, Issue 9

Abstract

The existence of weak interlayers (WIs) in slopes results in slope failure with multiple possibilities. The most likely failure modes include sliding along a curved slip surface, linear slip surface, and composited slip surface. As such, WIs are highly sensitive to slope stability results, and dense slice division is necessary for limit-equilibrium (LE) stability analysis of the slopes with WIs. However, considering the stability of a complex slope dependent on the dense slice division, the traditional rigorous LE methods have the problem of nonconvergence calculation for possible interference from unreasonable interslice moment results. Thus, this study established a novel LE method based on increments in interslice forces (ISFs). The proposed method had good convergence with the introduction of the overall moment equilibrium condition and rigorously satisfied the end boundary conditions of both normal and shear ISFs. Thereafter, the reliability of the proposed method was verified by comparing and analyzing several examples. Furthermore, stability charts for slopes with WIs were realized based on a large amount of statistical data on typical occurrence and strength parameters to provide guidance for slope design.

Get full access to this article

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

Acknowledgments

This research was supported by the National Natural Science Foundation of China (Grant No. 52278380).

References

Adams, E., et al. 2009. “Modeling variation of surface hoar and radiation recrystallization across a slope.” In Proc., Europe: Int. Snow Science Workshop, 97–101. Davos, Switzerland: The International Snow Science Workshop (ISSW).
Bishop, A. W. 1955. “The use of the slip circle in the stability analysis of slopes.” Géotechnique 10: 129–150. https://doi.org/10.1680/geot.1955.5.1.7.
Cheng, Y. M., L. Li, S. C. Chi, and W. B. Wei. 2007. “Particle swarm optimization algorithm for the location of the critical non-circular failure surface in two-dimensional slope stability analysis.” Comput. Geotech. 34 (2): 92–103. https://doi.org/10.1016/j.compgeo.2006.10.012.
Cheng, Y. M., L. Liang, C. Chi, and W. B. Wei. 2008. “Determination of the critical slip surface using artificial fish swarms algorithm.” J. Geotech. Geoenviron. Eng. 134 (2): 244–251. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:2(244).
Firincioglu, B. S., and M. Ercanoglu. 2021. “Insights and perspectives into the limit equilibrium method from 2D and 3D analyses.” Eng. Geol. 281: 105968. https://doi.org/10.1016/j.enggeo.2020.105968.
Fredlund, D. G., and J. Krahn. 1977. “Comparison of slope stability methods of analysis.” Can. Geotech. J. 14 (3): 429–439. https://doi.org/10.1139/t77-045.
Gao, W., X. Wang, S. Dai, and D. L. Chen. 2016. “Study on stability of high embankment slope based on black hole algorithm.” Environ. Earth Sci. 75: 1381. https://doi.org/10.1007/s12665-016-6208-y.
Greco, V. R. 1996. “Efficient Monte Carlo technique for locating critical slip surface.” J. Geotech. Eng. 122 (7): 517–525. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:7(517).
Ho, I. H. 2015. “Numerical study of slope-stabilizing piles in undrained clayey slopes with a weak thin layer.” Int. J. Geomech. 15 (5): 06014025. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000445.
Huang, M. S., X. P. Fan, and H. R. Wang. 2017. “Three-dimensional upper bound stability analysis of slopes with weak interlayer based on rotational–translational mechanisms.” Eng. Geol. 223: 82–91. https://doi.org/10.1016/j.enggeo.2017.04.017.
Huang, M. S., H. R. Wang, D. C. Sheng, and Y. L. Liu. 2013. “Rotational–translational mechanism for the upper bound stability analysis of slopes with weak interlayer.” Comput. Geotech. 53: 133–141. https://doi.org/10.1016/j.compgeo.2013.05.007.
Hungr, O., F. M. Salgado, and P. M. Byrne. 1989. “Evaluation of a three-dimensional method of slope stability analysis.” Can. Geotech. J. 26 (4): 679–686. https://doi.org/10.1139/t89-079.
Husein Malkawi, A. I., W. F. Hassan, and S. K. Sarma. 2001. “Global search method for locating general slip surface using Monte Carlo techniques.” J. Geotech. Geoenviron. Eng. 127 (8): 688–698. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:8(688).
Janbu, N. 1975. “Slope stability computations.” In Embankment dam engineering, edited by R. C. Hirschfeld and S. J. Poulos, 47–86. New York: Wiley.
Jin, L. X., and Q. X. Feng. 2018. “Improved radial movement optimization to determine the critical failure surface for slope stability analysis.” Environ. Earth Sci. 77: 564. https://doi.org/10.1007/s12665-018-7742-6.
Kahatadeniya, K. S., P. Nanakorn, and K. M. Neaupane. 2009. “Determination of the critical failure surface for slope stability analysis using ant colony optimization.” Eng. Geol. 108 (1–2): 133–141. https://doi.org/10.1016/j.enggeo.2009.06.010.
Klar, A., E. Aharonov, B. Kalderon-Asael, and O. Katz. 2011. “Analytical and observational relations between landslide volume and surface area.” J. Geophys. Res. Earth Surf. 116 (F2): F02001. https://doi.org/10.1029/2009JF001604.
Komolvilas, V., W. Tanapalungkorn, P. Latcharote, and S. Likitlersuang. 2021. “Failure analysis on a heavy rainfall-induced landslide in Huay Khab Mountain in Northern Thailand.” J. Mountain Sci. 18 (10): 2580–2596. https://doi.org/10.1007/s11629-021-6720-8.
Li, Y., Y. L, W. D. Song, and T. H. Yang. 2019. “Three-dimensional analysis of complex rock slope stability affected by fault and weak layer based on FESRM.” Adv. Civ. Eng. 2019: 6380815. https://doi.org/10.1155/2019/6380815.
Liu, G. W., D. Q. Song, Z. Chen, and J. W. Yang. 2020. “Dynamic response characteristics and failure mechanism of coal slopes with weak intercalated layers under blasting loads.” Adv. Civ. Eng. 2020: 5412795. https://doi.org/10.1155/2020/5412795.
Long, Z., Z. X. Yan, and C. B. Liu. 2020. “Shear effects on the anchorage interfaces and seismic responses of a rock slope containing a weak layer under seismic action.” Math. Probl. Eng. 2020: 1424167. https://doi.org/10.1155/2020/1424167.
Morgenstern, N. R., and V. E. Price. 1967. “A numerical method for solving the equations of stability of general slip surfaces.” Comput. J. 9 (4): 388–393. https://doi.org/10.1093/comjnl/9.4.388.
Nguyen, T. S., and S. Likitlersuang. 2019. “Reliability analysis of unsaturated soil slope stability under infiltration considering hydraulic and shear strength parameters.” Bull. Eng. Geol. Environ. 78 (8): 5727–5743. https://doi.org/10.1007/s10064-019-01513-2.
Nguyen, T. S., S. Likitlersuang, and A. Jotisankasa. 2018. “Stability analysis of vegetated residual soil slope in Thailand under rainfall conditions.” Environ. Geotech. 7 (5): 338–349. https://doi.org/10.1680/jenge.17.00025.
Nguyen, T. S., S. Likitlersuang, and A. Jotisankasa. 2019. “Influence of the spatial variability of the root cohesion on a slope-scale stability model: A case study of residual soil slope in Thailand.” Bull. Eng. Geol. Environ. 78 (5): 3337–3351. https://doi.org/10.1007/s10064-018-1380-9.
Nguyen, T. S., S. Likitlersuang, H. Ohtsu, and T. Kitaoka. 2017. “Influence of the spatial variability of shear strength parameters on rainfall induced landslides: A case study of sandstone slope in Japan.” Arabian J. Geosci. 10 (16): 369. https://doi.org/10.1007/s12517-017-3158-y.
Ongpaporn, P., A. Jotisankasa, and S. Likitlersuang. 2022. “Geotechnical investigation and stability analysis of bio-engineered slope at Surat Thani province in Southern Thailand.” Bull. Eng. Geol. Environ. 81 (3): 84. https://doi.org/10.1007/s10064-022-02591-5.
Pan, J. Z. 1980. Analysis on anti-sliding stability and landslide of buildings. [In Chinese.] Beijing: China Electric Power Press.
Sloan, S. W. 2013. “Geotechnical stability analysis.” Géotechnique 63 (7): 531–571. https://doi.org/10.1680/geot.12.RL.001.
Solati, S., and G. Habibagahi. 2006. “A genetic approach for determining the generalized interslice forces and the critical non-circular slip surface.” Iran. J. Sci. Technol. Trans. B Eng. 30 (B1): 1–20. https://doi.org/10.1016/j.ijpvp.2005.11002.
Steward, T., N. Sivakugan, N. S. Shukla, and B. M. Das. 2011. “Taylor’s slope stability charts revisited.” Int. J. Geomech. 11 (4): 348–352. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000093.
Tang, G. P., L. H. Zhao, L. Li, and F. Yang. 2015. “Stability charts of slopes under typical conditions developed by upper bound limit analysis.” Comput. Geotech. 65: 233–240. https://doi.org/10.1016/j.compgeo.2014.12.008.
Taylor, D. W. 1937. “Stability of earth slopes.” J. Boston Soc. Civ. Eng. 24: 197–246.
Xiao, S. G. 2019. “Improved transfer coefficient method for stability analysis of a landslide with polyline slip surface.” Indian Geotech. J. 49 (6): 595–602. https://doi.org/10.1007/s40098-018-0331-5.
Xu, Q., and X. M. Fan. 2010. “A catastrophic rockslide-debris flow in Wulong, Chongqing, China in 2009: Background, characterization, and causes.” Landslides 7: 75–87. https://doi.org/10.1007/s10346-009-0179-y.
Yamagami, T., and Y. Veta. 1988. “Search for noncircular slip surfaces by the Morgenstern–Price method.” In Proc., 6th Int. Conf. on Numerical Methods in Geomechanics, 11–15. Rotterdam, The Netherlands: A.A. Balkema.
Yao, A. J., Z. Z. Tian, and Y. J. Jin. 2014. “Sliding surface searching method for slopes containing a potential weak structural surface.” J. Rock Mech. Geotech. Eng. 6 (3): 275–279. https://doi.org/10.1016/j.jrmge.2014.03.004.
Zhang, X. 1988. “Three-dimensional stability analysis of concave slopes in plan view.” J. Geotech. Eng. 114 (6): 658–671. https://doi.org/10.1061/(ASCE)0733-9410(1988)114:6(658).
Zheng, G., X. Y. Yang, H. Z. Zhou, D. Ha, and T. Q. Zhang. 2017. “Upper-bound multi-rigid-block solutions for seismic performance of slopes with a weak thin layer.” Math. Probl. Eng. 2017: 1985454. https://doi.org/10.1155/2017/1985458.
Zhou, J. F., and C. B. Qin. 2020. “Finite-element upper-bound analysis of seismic slope stability considering pseudo-dynamic approach.” Comput. Geotech. 122: 103530. https://doi.org/10.1016/j.compgeo.2020.103530.
Zolfaghari, A. R., A. C. Heath, and P. F. McCombie. 2005. “Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis.” Comput. Geotech. 32 (3): 139–152. https://doi.org/10.1016/j.compgeo.2005.02.001.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 9September 2023

History

Received: Dec 27, 2022
Accepted: Apr 17, 2023
Published online: Jul 7, 2023
Published in print: Sep 1, 2023
Discussion open until: Dec 7, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Associate Professor, School of Civil Engineering, Central South Univ., Changsha 410075, China (corresponding author). ORCID: https://orcid.org/0000-0002-0145-8756. Email: [email protected]
Guicheng Liu [email protected]
Master’s Student, School of Civil Engineering, Central South Univ., Changsha 410075, China. Email: [email protected]
Master’s Student, School of Civil Engineering, Central South Univ., Changsha 410075, China. Email: [email protected]
Yihang Peng [email protected]
Master’s Student, School of Civil Engineering, Central South Univ., Changsha 410075, China. Email: [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.

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