Abstract
It is difficult to obtain reliable shear strength parameters for the stability analysis and evaluation of high loess slopes. Hence, this paper determines slope elements and physical parameter of 79 slopes with heights of [40, 120] m based on the measured loess slopes in the Ganquan and Tonghuang subregions of northern Shaanxi Province, China. In the limit state of the loess slope (stability factor Fs is 1.0), a fitting equation for the slope height and width is established. Then, the model is developed by stability analysis software-SLOPE/W, and the comprehensive shear strength parameters corresponding to different slope heights of the high slope in the study area are obtained by inversion using the Morgenstern-Price method. The results show that when the height of the slope increases, the cohesion c increases in the soil, and the internal friction angle φ decreases. This change is consistent with the characteristics reflected in the composition and physical properties of the slopes, and the comprehensive strength parametric curves are very similar between the Ganquan subregion and the Tonghuang subregion. A landslide that occurred in Miaodian-zaitou of Jingyang County, Shaanxi Province, is selected to verify this inversion method, and the results show that the calculated shear strength parameters of the inversion are consistent with the measured value of the actual slope.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bhattacharya G, Jana D, Ojha S, et al. (2003) Direct search for minimum reliability index of earth slopes. Comput Geotech 30 (6): 455–462. https://doi.org/10.1016/S0266-352X(03)00059-4
Chen ZY, Morgenstern NR (1983) Extensions to the generalized method of slices for stability analysis. Can Geotech J 20 (1): 104–119. https://doi.org/10.1139/t83-010
Chen JY, Zhao LH, Li L, et al. (2013) Application of 3D upper bound approach for back analysis of shear strength parameters of slope. Electron J Geotech Eng 18: 3473–3486.
Chen LK, Chang CH, Liu CH, et al. (2020) Application of a Three-Dimensional Deterministic Model to Assess Potential Landslides, a Case Study: Antong Hot Spring Area in Hualien, Taiwan. Water 12(2) Article number 480. https://doi.org/10.3390/w12020480
Deng JH, Wei JB, Min H (2003) Three-dimensional analysis method of landslide stability based on strength reduction concept (I): inverse analysis of shear strength parameters of sliding zone soil. Geomechanics 24 (6): 896–900. (In Chinese) https://doi.org/10.16285/j.rsm.2003.06.006
Deng DP, Li L, Zhao LH (2019) Stability Analysis of a Layered Slope with Failure Mechanism of a Composite Slip Surface. Int J Geomech 19 (6): 04019050-1-16. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001417
Gong XW, Yi NP, Zhang XG (2006) Thinking about safety factor of slope engineering. J Guangxi Univ (Nat Sci Ed) 31 (3): 265–270. (In Chinese) https://doi.org/10.13624/j.cnki.issn.1001-7445.2006.03.019
Guo C, Xu Q, Wei Y, et al. (2019) Evolution characteristics and disaster models of multiple-order loess landslides in South Highland, Jingyang, Shaanxi. Geol Sci Technol Inf 38 (5): 204–211. (In Chinese) https://doi.org/10.19509/j.cnki.dzkq.2019.0521
Hassan Ahmed M, Wolff Thoms F (1999) Search algorithm for minimum reliability index of earth slopes. J Geotech Geoenviron Eng 125 (4): 301–308. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:4(301)
Hsu KJ (1975) Catastrophic debris streams (sturzstroms) generated by rockfalls. Geol Soc Am Bull 86 (1): 129–140. https://doi.org/10.1130/0016-7606(1975)86<129:CDSSGB>2.0.CO;2
Jiao L, Li KY (2010) Study on structural characteristics and design method of high slope of loess cutting in Huangyan highway. J Water Res Archit Eng 8 (2): 136–138. (In Chinese)
Liu GR, Yan EC, Lian C (2002) Discussion of landslide classification. J Eng Geol 10 (4): 339–342. (In Chinese)
Luo L, Xiao YM, Huang HY, et al. (2005) Application of genetic algorithm in inversion of landslide shear strength parameters. Highway Traffic Technol 1: 10–13. (In Chinese)
Li P (2006) Reliability study of loess slope. PhD thesis, Chang’an University, Xi’an, Shanxi. pp 54–71. (In Chinese)
Li TL, Long JH, Li XS (2007) Loess landslide development type and its spatial prediction method. J Eng Geol 15 (4): 500–505. (In Chinese)
Li P, Wang BG, Li TL (2009) Application of natural analogy method in loess cutting slope design. Highway Trans Technol 26 (2): 1–5. (In Chinese)
Liu C (2014) Inversion study on shear strength parameters of loess high slope. M.D thesis, Chang’an University, Xi’an, Shanxi. pp 17–23. (In Chinese)
Li TL, Liu WH, Li P (2016) Inversion analysis of the shear strength parameters of loess and its spatial variation. Hydrogeol Eng Geol 43 (6): 101–06. (In Chinese) https://doi.org/10.16030/j.cnki.issn.1000-3665.2016.06.16
Morgenstern NR, Price VE (1965) The analysis of the stability of general slip surfaces. Geotechnique 15 (1): 79–93. https://doi.org/10.1680/geot.1965.15.1.79
Okuda S (1984) Features of debris deposits of large slope failures investigated from historical records. Annu Disaster Prev Res Inst 27 (1): 353–368. (In Japanese)
Peng DL, Xu Q, Liu FZ, et al. (2018) Distribution and failure modes of the landslides in Heitai terrace, China. Eng Geol 236: 97–110. https://doi.org/10.1016/j.enggeo.2017.09.016
Peng DL, Xu Q, Zhang XL, et al. (2019) Hydrological response of loess slopes with reference to widespread landslide events in the Heifangtai terrace, NW China. J Asian Earth Sci 171: 259–276. https://doi.org/10.1016/j.jseaes.2018.12.003
Sun GH, Cheng SG, Jiang W, et al. (2016) A global procedure for stability analysis of slopes based on the Morgenstern-Price assumption and its applications. Comput Geotech 80: 97–106. https://doi.org/10.1016/j.compgeo.2016.06.014
Tang LS, Yin KL, Zhou L, et al. (2012) Research on back analysis of shear strength parameters of landslide based on numerical simulation and displacement monitoring. Hydrogeol Eng Geol 39 (4): 32–37. (In Chinese) https://doi.org/10.16030/j.cnki.issn.1000-3665.2012.04.019
Wang K, Wang CM, Wang B, et al. (2013) Comparative analysis of slope stability based on Morgenstern-Price method and strength reduction method. J Jilin Univ (Earth Sci Ed) 43 (3): 902–907. (In Chinese) https://doi.org/10.13278/j.cnki.jjuese.2013.03.017
Wu WJ, Wang NQ (2002) Basic types and activity characteristics of loess landslides. Chinese J Geol Hazards Prev 13 (2): 38–42. (In Chinese) https://doi.org/10.16031/j.cnki.issn.1003-8035.2002.02.008
Xu HB, Wang J (1999) The problem of choosing the stability coefficient of landslide in inverse algorithm. Sichuan Geol J 19 (1): 69–71. (In Chinese)
Zheng MX (2003) Research of strength characteristic of landslide slip and revised counter calculation method. Rock Soil Mech 24 (4): 528–532. (In Chinese) https://doi.org/10.16285/j.rsm.2003.04.010
Zhang XM, Jiang ZM, Liu JH (2005) Inverse analysis method of c and φ value of highway landslide slip zone. J Chin Foreign Highway 25 (5): 26–28. (In Chinese)
Zuo S, Zhao LH, Deng DP, et al. (2020) Reliability back analysis of landslide shear strength parameters based on a general nonlinear failure criterion. Int J Rock Mech Min Sci 126: 104189-1-9. https://doi.org/10.1016/j.ijrmms.2019.104189
Zhao LH, Zuo S, Lin YL, et al. (2016) Reliability back analysis of shear strength parameters of landslide with three-dimensional upper bound limit analysis theory. Landslides 13 (4): 1–14. https://doi.org/10.1007/s10346-015-0604-3
Acknowledgement
The research is supported by National Natural Science Foundation of China (Grant No. 41402274, 41877242).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, Xy., Zhang, Lf., Yang, Z. et al. Inversion analysis of the shear strength parameters for a high loess slope in the limit state. J. Mt. Sci. 18, 252–264 (2021). https://doi.org/10.1007/s11629-020-6142-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11629-020-6142-z