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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

邮发代号 80-968

2019 Impact Factor: 1.68

Frontiers of Structural and Civil Engineering  2022, Vol. 16 Issue (7): 882-895   https://doi.org/10.1007/s11709-022-0859-4
  本期目录
Slope stability analysis based on big data and convolutional neural network
Yangpan FU, Mansheng LIN, You ZHANG, Gongfa CHEN(), Yongjian LIU
School of Civil and Transportation Engineering, Guangdong University of Technology, Guangzhou 510006, China
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Abstract

The Limit Equilibrium Method (LEM) is commonly used in traditional slope stability analyses, but it is time-consuming and complicated. Due to its complexity and nonlinearity involved in the evaluation process, it cannot provide a quick stability estimation when facing a large number of slopes. In this case, the convolutional neural network (CNN) provides a better alternative. A CNN model can process data quickly and complete a large amount of data analysis in a specific situation, while it needs a large number of training samples. It is difficult to get enough slope data samples in practical engineering. This study proposes a slope database generation method based on the LEM. Samples were amplified from 40 typical slopes, and a sample database consisting of 20000 slope samples was established. The sample database for slopes covered a wide range of slope geometries and soil layers’ physical and mechanical properties. The CNN trained with this sample database was then applied to the stability prediction of 15 real slopes to test the accuracy of the CNN model. The results show that the slope stability prediction method based on the CNN does not need complex calculation but only needs to provide the slope coordinate information and physical and mechanical parameters of the soil layers, and it can quickly obtain the safety factor and stability state of the slopes. Moreover, the prediction accuracy of the CNN trained by the sample database for slope stability analysis reaches more than 99%, and the comparisons with the BP neural network show that the CNN has significant superiority in slope stability evaluation. Therefore, the CNN can predict the safety factor of real slopes. In particular, the combination of typical actual slopes and generated slope data provides enough training and testing samples for the CNN, which improves the prediction speed and practicability of the CNN-based evaluation method in engineering practice.

Key wordsslope stability    limit equilibrium method    convolutional neural network    database for slopes    big data
收稿日期: 2022-02-25      出版日期: 2022-11-17
Corresponding Author(s): Gongfa CHEN   
 引用本文:   
. [J]. Frontiers of Structural and Civil Engineering, 2022, 16(7): 882-895.
Yangpan FU, Mansheng LIN, You ZHANG, Gongfa CHEN, Yongjian LIU. Slope stability analysis based on big data and convolutional neural network. Front. Struct. Civ. Eng., 2022, 16(7): 882-895.
 链接本文:  
https://academic.hep.com.cn/fsce/CN/10.1007/s11709-022-0859-4
https://academic.hep.com.cn/fsce/CN/Y2022/V16/I7/882
Fig.1  
slope name soil layer number cohesion c (kN/m2) internal friction angle φ (° ) natural bulk density γ (kN/m3) saturated unit weight γsat (kN/m3)
landslide in Chengdu city (China) first layer 15.0 12.0 20.0 15.0
second layer 35.0 30.0 25 23
third layer 39.0 32.0 27 25
fourth layer 42.0 36.0 35 30
the Frank slide (France) first layer 26 45 24 24
second layer 34 40 24 25
third layer 44 34 25 26
soil vertical high slope in Jincheng city (China) first layer 35 24 18 19
second layer 35 32 24 25
third layer 50 46 28 29
slope of Chongqing hydropower station (China) first layer 10 8 15 15
second layer 20 8 20 20
third layer 50 20 25 25
Tab.1  
Fig.2  
Fig.3  
Fig.4  
Fig.5  
Fig.6  
Fig.7  
slope name soil layer number cohesion c (kN/m2) internal friction angle φ (° ) natural bulk density γ (kN/m3) saturated unit weight γ sa t (kN/m3)
original slope 1 first layer 15.0 ± R% 12.0 ± R% 20.0 ± R% 15.0 ± R%
second layer 35.0 ± R% 30.0 ± R% 25.0 ± R% 23.0 ± R%
third layer 39.0 ± R% 32.0 ± R% 27.0 ± R% 25.0 ± R%
fourth layer 42.0 ± R% 36.0± R% 35.0 ± R% 30.0 ± R%
original slope 2 first layer 35.0 ± R% 24.0 ± R% 18.0 ± R% 19.0 ± R%
second layer 35.0 ± R% 32.0 ± R% 24.0 ± R% 25.0 ± R%
third layer 50.0 ± R% 46.0 ± R% 28.0 ± R% 29.0 ± R%
fourth layer 54.0 ± R% 50.0 ± R% 34.0 ± R% 35.0 ± R%
original slope 3 first layer 10.0 ± R% 8.0 ± R% 15.0 ± R% 15.0 ± R%
second layer 20.0 ± R% 8.0 ± R% 20.0 ± R% 20.0 ± R%
third layer 50 ± R% 20.0 ± R% 25.0 ± R% 25.0 ± R%
fourth layer 55 ± R% 50.0 ± R% 32.0 ± R% 33.0 ± R%
Tab.2  
Fig.8  
Fig.9  
column description
1–4 C,φ,γ,γ s
5–44 key point coordinates
45–88 second layer data
89–132 third layer data
133–176 fourth layer data
Tab.3  
the network layer model parameters
input layer slope parameter (360 sets)
convolution layer C1 kernel size 1 × 2 × 1, padding, 16 feature maps
convolution layer C2 kernel size 1 × 2 × 16, padding, 32 feature maps
convolution layer C3 kernel size 1 × 2 × 32, padding, 64 feature maps
convolution layer C4 kernel size 1 × 2 × 64, padding, 128 feature maps
full connection layer
output layer predicted value of safety factor
Tab.4  
Fig.10  
variable name type basis of classification code
the state of slope stability unstable FS < 1 I
metastable 1 ≤ FS < 1.05 II
basically stable 1.05 ≤ FS < 1.25 III
stable 1.25 ≤ FS IV
Tab.5  
number real stability state predicted stability state absolute error relative error
1 IV IV –0.30% –0.13%
2 IV III –0.10% –0.08%
3 II III 0.36% 0.35%
4 I I 0.09% 0.17%
5 IV IV –0.20% –0.11%
6 III III 0.00% 0.00%
7 I I 0.63% 0.93%
8 III III 0.31% 0.25%
9 II II 0.00% 0.00%
10 IV IV 2.52% 1.44%
11 III III 0.00% 0.00%
12 I I 0.00% 0.00%
13 I I 0.00% 0.00%
14 III III –1.50% –1.36%
15 IV IV 0.61% 0.39%
16 III II –0.10% –0.10%
17 II II 1.20% 1.19%
18 II III 0.69% 0.66%
19 IV III –0.14% –0.11%
20 III III 0.56% 0.45%
21 II II 0.80% 0.79%
22 II II 0.99% 0.95%
23 III III –0.40% –0.32%
24 IV IV 0.30% 0.15%
25 III III 0.21% 0.17%
26 III III 0.53% 0.48%
27 IV IV 0.16% 0.08%
28 IV IV 0.06% 0.02%
29 IV IV 0.11% 0.07%
30 I II 1.15% 1.16%
1999 IV IV 0.16% 0.09%
2000 III III 0.03% 0.02%
Tab.6  
Fig.11  
Fig.12  
Fig.13  
Fig.14  
Fig.15  
Fig.16  
Fig.17  
number real stability state predicted stability state absolute error relative error
1 I I 0.60% 0.63%
2 IV IV 5.42% 3.23%
3 I I 0.00% 0.00%
4 I I 0.00% 0.00%
5 IV IV 0.60% 0.29%
6 III IV –0.40% –0.33%
7 I I –0.04% –0.05%
8 III III 0.12% 0.11%
9 I I 0.16% 0.18%
10 II III 1.00% 0.96%
11 IV IV 0.03% 0.02%
12 III III 0.16% 0.14%
13 I I 1.14% 1.51%
14 I I 0.00% 0.00%
15 II II 2.90% 2.84%
Tab.7  
Fig.18  
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