Cross-Correlation Analysis of the Stability of Heterogeneous Slopes
Abstract
:1. Introduction
2. Methodology
2.1. Random Field Modeling of Heterogeneity
2.2. Slope Stability Analysis
2.3. Cross-Correlation Analysis
3. Results of Cross-Correlation Analysis for Statistical Isotropy
4. Results of Cross-Correlation Analysis for Statistical Anisotropy
4.1. Statistical Horizontal Anisotropy (Horizontal Correlation Scale > Vertical Correlation Scale)
4.2. Statistical Vertical Anisotropy (Horizontal Correlation Scale < Vertical Correlation Scale)
4.3. Effects of the Number of Realizations in MCS
5. Effects of Conditional Random Fields
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Parameters | Values |
---|---|
Mean of cohesion, μc | 15 kN/m2 |
Coefficient of variation of cohesion, COVc | 0.5 |
Mean of friction angle, μφ | 10° |
Coefficient of variation of friction angle, COVφ | 0.5 |
Dilation angle, ψ | 0° |
Young’s modulus, E | 1 × 105 kPa |
Poisson’s ratio, υ | 0.3 |
Unit weight, γ | 20 kN/m3 |
Scheme 1 | Scheme 2 | Scheme 3 | Scheme 4 | |
---|---|---|---|---|
μFS of Case 1 | 1.033 | 1.041 | 1.031 | 1.040 |
σFS of Case 1 | 0.066 | 0.072 | 0.058 | 0.072 |
μFS of Case 2 | 0.935 | 0.939 | 0.924 | 0.935 |
σFS of Case 2 | 0.094 | 0.105 | 0.082 | 0.112 |
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Li, Y.; Zhang, F.; Yeh, T.-C.J.; Hou, X.; Dong, M. Cross-Correlation Analysis of the Stability of Heterogeneous Slopes. Water 2023, 15, 1050. https://doi.org/10.3390/w15061050
Li Y, Zhang F, Yeh T-CJ, Hou X, Dong M. Cross-Correlation Analysis of the Stability of Heterogeneous Slopes. Water. 2023; 15(6):1050. https://doi.org/10.3390/w15061050
Chicago/Turabian StyleLi, Yukun, Faming Zhang, Tian-Chyi Jim Yeh, Xiaolan Hou, and Menglong Dong. 2023. "Cross-Correlation Analysis of the Stability of Heterogeneous Slopes" Water 15, no. 6: 1050. https://doi.org/10.3390/w15061050