There are many factors affecting the stability of cut and fill multistage slopes, and these factors exert different degrees of influence on slope stability. The grey incidence analysis method can be used to evaluate the sensitivity of these factors. To overcome the shortcomings of the grey incidence analysis model used in previous sensitivity analysis studies on the factors influencing slope stability, this study improved the dimensionless processing method and resolution coefficient value. Considering that the importance of each influencing factor is different, the vector resemblance degree theory was applied to determine the weight of each influencing factor. Finally, based on an actual cut and fill multistage slope, the sensitivity of the factors affecting stability was analyzed according to the improved grey incidence analysis theory. The results revealed that the unloading platform width, cohesion force, and internal friction angle are most sensitive to the stability of the cut and fill multistage slope. The step height, slope width, and slope height are slightly sensitive, while the soil unit weight, seismic peak acceleration, and slope ratio are the least sensitive.
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J. B. Peng, S. K. Wang, Q. Y. Wang, J. Q. Zhuang, W. L. Huang, X. H. Zhu, Y. Q. Leng, and P. H. Ma, "Distribution and genetic types of loess landslides in China," J. Asian Earth Sci., 170, 329-350 (2019).
S. J. Peng, Y. Ma, J. D. Wang, and W. L. Xie, "Application of fuzzy information optimization technology on analysis of loess landslide stability," Appl. Mech. Mater., 321-324, 2389-2395 (2013).
B. Hassan and Hani, M, "Application of rock mass classification systems to rock slope stability assessment: A case study," J. Rock Mech. Geotech. Eng., 9, 993-1009 (2017).
J. Q. Wang, J. Li, Q. Li, and L. Chen, "Analysis of influence factors of multistage slope stability of loess: Take the Baojixia Water Division Project for example," Rock Soil Mech., 30(7), 2114-2118 (2009).
A. Aril, K. Tetsuya, and S. Yoshinori, "Comparison of GIS-based landslide susceptibility models using frequency ratio, logistic regression, and artificial neural network in a tertiary region of Ambon, Indonesia," Geomorphology, 318, 101-111 (2018).
C. Y. Wang, F. Zhang, and W. D. Han, "Sensitivity analysis of slope stability influence factors based on BP neural network," Adv. Mater. Res., 1010-1012, 1544-1547 (2014a).
C. Y. Wang, F. Zhang, and W. D. Han, "A study on the application of RBF neural network in slope stability of Bayan Obo East Mine," Adv. Mater. Res., 1010-1012, 1507-1510 (2014b).
Y. Y. Xia and H. F. Xiong, "Sensibility analysis of slope stability based on artificial neural network," Chin. J. Rock Mech. Eng., 23(16), 2703-2707 (2004).
W. J. Liu, J. Zhang, M. Z. Jin, S. F. Liu, X. Y. Chang, N. M. Xie, and Y. T. Wang, "Key indices of the remanufacturing industry in China using a combined method of grey incidence analysis and grey clustering," J. Cleaner Prod., 168, 1348-1357 (2017).
Y. Liu, J. L. Du, and Y. H. Wang, "An improved grey group decision-making approach," Appl. Soft Comput., 76, 78-88 (2019).
Y. H. Zhao, G. Liu, J. Mao, L. F. Chen, and M. E. Wei, "Sensitivity analysis for the stability of loess slope based on grey correlation degree," J. Yangtze River Sci. Res. Inst., 32(7), 94-98 (2015).
Y. Lan, R. Y. Li, J. L. Fan, and G. Y. Li, "Comprehensive assessment on slope stability of waterinducted tunnel of Tianwan Nuclear Power Station," Chin. J. Rock Mech. Eng., 23(22), 3818-3823 (2004).
G. F. Chen, S. G. Cheng, Y. F. Lu, and D. H. Chen, "Sensitivity analysis of slope stability based on uniform design," J. Hydraul. Eng., 37(11), 1397-1401 (2007).
S. X. Shu and W. H. Gong, "An improved fuzzy point estimate method for slope stability analysis based on neural network," Rock Soil Mech., 36(7), 2111-2116 (2015).
Y. S. Li, H. Gao, F. Chen, Y. J. Wang, H. T. Yan, Z. Q. Wang, and Z. Q. Xiao, "Comprehensive assessment of slope stability in Wu-Yu highway," Hydrogeol. Eng. Geol., 45(4), 150-156 (2018).
G. Y. Wang, J. Li, F. F. Ye, and G. R. Sun, "Fuzzy comprehensive assessment stability of vegetated slope with 3D geomat protection using cloud model," Open Civ. Eng. J., 11, 70-81 (2017).
J. W. Zhang, X. J. Li, M. J. Chi, and C. Liu, "Type division of soil slopes under seismic action," Acta Seismol. Sin., 39(2), 286-295 (2017).
V. Giovanna, K. Janusz, and P. Wojciech, "High dimensional model representation for reliability analyses of complex rock-soil slope stability," Arch. Civ. Mech. Eng., 17, 954-963 (2017).
D. Q. Li, Z. Y. Yang, Z. J. Cao, and L. M. Zhang, "Area failure probability method for slope system failure risk assessment," Comput. Geotech., 107, 36-44 (2019).
J. L. Deng, "Control problems of grey systems," Syst. Control Lett., 1(5), 288-294 (1982).
S. F. Liu, M. L. Hu, J. Forrest, and Y. J. Yang, "Progress of grey system models," J. Nanjing Univ. Aeronaut. Astronaut., 29(2), 103-111 (2012).
Y. H. Su, Z. D. Luo, and X. Li, "Gray correlation analysis method for cut-and fill roadbed slope stability based on uniform experiment," Rock Soil Mech., 33(8), 2259-2264 (2012).
Q. H. Li, F. H. Chao, Q. C. Zhao, W. Long, and R. Teng, "Track circuit fault prediction method based on grey theory and expert system," J. Vis. Commun. Image Represent., 58(1), 37-45 (2019).
N. D. Misal and M. Sadaiah, "Multi-objective optimization of photochemical machining of Inconel 601 using grey relational analysis," Mater. Today. Proc., 5(2), 5591-5600 (2018).
G. D. Sun, X. Guan, X. Yi, and Z. Zhou, "Grey relational analysis between hesitant fuzzy sets with applications to pattern recognition," Expert Syst. Appl., 92, 521-531 (2018).
A. J. Saad, M. Amin, M. K. Aqib, J. Sara, and S. F. Liu, "A critical review: shape optimization of welded plate heat exchangers based on grey correlation theory," Appl. Therm. Eng., 114(5), 593-599 (2018).
Y. Wang, K. L. Yin, and G. F. An, "Grey correlation analysis of sensitive factors of landslide," Rock Soil Mech., 25(1), 91-93 (2004).
Z. B. Chen and W. B. Jian, "Sensibility analysis of slopes stability based on grey correlation analysis," J. Disaster Prev. Mitig Eng., 26(4), 473-477 (2006).
D. Y. Jiang, S. G. Xie, S. Ren, and C. Liu, "Prediction of slope stability in Chongqing area by gray incidence degree," Chin. J. Undergr. Space Eng., 3(4), 665-667+672 (2007).
C. G. Liang and X. M. Li, "Multi-objective optimization of WC-12Co coatings based on grey relational analysis and regression analysis," Mater. Rev., 32(5), 1752-1756 (2018).
X. L. Wang, Y. H. Wang, and Y. P. Zhu, "Theory and application of fuzzy pattern recognition to stability of loess slope," Chin. J. Rock Mech. Eng., 25(Suppl. 1), 2868-2874 (2006).
Z. L. Zhang, T. Wang, S. R. Wu, H. M. Tang, and C. Y. Liang, "Seismic performance of loess-mudstone slope in Tianshui Centrifuge model tests and numerical analysis," Eng. Geol., 222, 225-235 (2017).
T. F. Gu, M. S. Zhang, J. D. Wang, C. X. Wang, Y. J. Xu, and X. Wang, "Slope edge irrigation and slope stability: Heifangtai platform, Gansu province, China," Eng. Geol., Advance online publication (2018).
E. C. Sung, "Probabilistic stability analysis of rainfall-induced landslides considering spatial variability of permeability," Eng. Geol., 171, 11-20 (2014).
N. Ma, H. G. Wu, H. M. Ma, X. Y. Wu, and G. H. Wang, "Examining dynamic soil pressures and the effectiveness of different pile structures inside reinforced slopes using shaking table tests," Soil Dyn. Earthq. Eng., 116, 293-303 (2019).
G. Zhang and L. P. Wang, "Simplified evaluation on the stability level of pile-reinforced slopes," Soils Found.,57, 575-586 (2017).
B. X. Li, Y. H. Niu, and T. D. Miao, "Water sensitivity of Malan loess in Lanzhou," Chin. J. Geotech. Eng., 29(2), 294-298 (2007a).
B. X. Li, Y. H. Niu, and T. D. Miao, "Physico-mechanical characteristics of Malan loess in Lanzhou," Rock Soil Mech., 28(6), 1078-1082 (2007b).
J. H. Liu, H. Gao, X. L. Ma, Y. Yang, X. G. Wang, J. J. Yang, C. G. Qiu, H. Wang, "Effect of high temperature baking on flue-cured tobacco chemical quality," J. Yunnan Agric. Univ (Nature Sci.), 31(5), 880-885 (2016).
Q. Y. Liu and X. N. Wu, "Review on determining index weights in multi-factor evaluation," Knowledge Management Forum, 2(6), 500-510 (2017).
L. M. Jiao and J. L. Yang, "A new method for calculating weights," Command Control Simul., 28(1), 94-97+101 (2006).
P. Xie, C. Xiao, H. F. Lei, and T. Tang, "Improved assessment method for lake water eutrophication based on the vector similarity principle and its verification," J. Saf. Environ., 8(4), 93-96 (2008).
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Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 1, p. 7, January-February, 2020.
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Ye, Sh., Huang, Ap. Sensitivity Analysis of Factors Affecting Stability of Cut and Fill Multistage Slope Based on Improved Grey Incidence Model. Soil Mech Found Eng 57, 8–17 (2020). https://doi.org/10.1007/s11204-020-09631-w
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DOI: https://doi.org/10.1007/s11204-020-09631-w