Skip to main content
Log in

Evaluation and prediction of slope stability using machine learning approaches

  • Transdisciplinary Insight
  • Published:
Frontiers of Structural and Civil Engineering Aims and scope Submit manuscript

Abstract

In this paper, the machine learning (ML) model is built for slope stability evaluation and meets the high precision and rapidity requirements in slope engineering. Different ML methods for the factor of safety (FOS) prediction are studied and compared hoping to make the best use of the large variety of existing statistical and ML regression methods collected. The data set of this study includes six characteristics, namely unit weight, cohesion, internal friction angle, slope angle, slope height, and pore water pressure ratio. The whole ML model is primarily divided into data preprocessing, outlier processing, and model evaluation. In the data preprocessing, the duplicated data are first removed, then the outliers are filtered by the LocalOutlierFactor method and finally, the data are standardized. 11 ML methods are evaluated for their ability to learn the FOS based on different input parameter combinations. By analyzing the evaluation indicators R2, MAE, and MSE of these methods, SVM, GBR, and Bagging are considered to be the best regression methods. The performance and reliability of the nonlinear regression method are slightly better than that of the linear regression method. Also, the SVM-poly method is used to analyze the susceptibility of slope parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. He X, Li S J, Liu Y X, Zhou Y P. Analyzing method of rock slope stability based on artificial neural network. Rock and Soil Mechanics, 2003, 24: 73–76 (in Chinese)

    Google Scholar 

  2. Nawari O, Hartmann R, Lackner R. Stability analysis of rock slopes with the direct sliding blocks method. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(3–4): 220

    Google Scholar 

  3. Thiebes B, Bell R, Glade T, Jäger S, Mayer J, Anderson M, Holcombe L. Integration of a limit-equilibrium model into a landslide early warning system. Landslides, 2014, 11(5): 859–875

    Article  Google Scholar 

  4. Johari A, Mousavi S. An analytical probabilistic analysis of slopes based on limit equilibrium methods. Bulletin of Engineering Geology and the Environment, 2019, 78(6): 4333–4347

    Article  Google Scholar 

  5. Luan M T, Li Y, Yang Q. Discontinuous deformation computational mechanics model and its application to stability analysis of rock slope. Chinese Journal of Rock Mechanics and Engineering, 2000, 19(3): 289–294 (in Chinese)

    Google Scholar 

  6. Gitirana G Jr, Santos M A, Fredlund M D. Three-dimensional slope stability model using finite element stress analysis. In: Proceedings of GeoCongress 2008. New Orleans: ASCE, 2008, 191–198

    Google Scholar 

  7. Sun G, Lin S, Zheng H, Tan Y, Sui T. The virtual element method strength reduction technique for the stability analysis of stony soil slopes. Computers and Geotechnics, 2020, 119: 103349

    Article  Google Scholar 

  8. Trivedi R, Vishal V, Pradhan S P, Singh T N, Jhanwar J C. Slope stability analysis in limestone mines. International Journal of Earth Sciences and Engineering, 2012, 5(4): 759–766

    Google Scholar 

  9. Guo H, Zheng H, Zhuang X. Numerical manifold method for vibration analysis of Kirchhoff’s plates of arbitrary geometry. Applied Mathematical Modelling, 2019, 66: 695–727

    Article  MathSciNet  MATH  Google Scholar 

  10. Zheng F, Leung Y F, Zhu J B, Jiao Y Y. Modified predictor-corrector solution approach for efficient discontinuous deformation analysis of jointed rock masses. International Journal for Numerical and Analytical Methods in Geomechanics, 2019, 43(2): 599–624

    Article  Google Scholar 

  11. Zheng F, Zhuang X, Zheng H, Jiao Y Y, Rabczuk T. Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis. Applied Mathematical Modelling, 2020, 82: 314–335

    Article  MathSciNet  MATH  Google Scholar 

  12. Zhuang X, Zheng F, Zheng H, Jiao Y Y, Rabczuk T, Wriggers P. A cover-based contact detection approach for irregular convex polygons in discontinuous deformation analysis. International Journal for Numerical and Analytical Methods in Geomechanics, 2021, 45(2): 208–233

    Article  Google Scholar 

  13. Zhou S, Rabczuk T, Zhuang X. Phase-field modeling of quasistatic and dynamic crack propagation: COMSOL implementation and case studies. Advances in Engineering Software, 2018, 122: 31–49

    Article  Google Scholar 

  14. Zhou S, Zhuang X, Rabczuk T. A phase-field modeling approach of fracture propagation in poroelastic media. Engineering Geology, 2018, 240: 189–203

    Article  Google Scholar 

  15. Zhou S, Zhuang X, Zhu H, Rabczuk T. Phase field modeling of crack propagation, branching and coalescence in rocks. Theoretical and Applied Fracture Mechanics, 2018, 96: 174–192

    Article  Google Scholar 

  16. Fielding A H. Machine Learning Methods for Ecological Applications. Boston: Springer, 1999, 1–35

    MATH  Google Scholar 

  17. Moayedi H, Hayati S. Modelling and optimization of ultimate bearing capacity of strip footing near a slope by soft computing methods. Applied Soft Computing, 2018, 66: 208–219

    Article  Google Scholar 

  18. Anitescu C, Atroshchenko E, Alajlan N, Rabczuk T. Artificial neural network methods for the solution of second-order boundary value problems. Computers, Materials and Continua, 2019, 59(1): 345–359

    Article  Google Scholar 

  19. Hoang N D, Pham A D. Hybrid artificial intelligence approach based on metaheuristic and machine learning for slope stability assessment: A multinational data analysis. Expert Systems with Applications, 2016, 46: 60–68

    Article  Google Scholar 

  20. Liu Z, Shao J, Xu W, Chen H, Zhang Y. An extreme learning machine approach for slope stability evaluation and prediction. Natural Hazards, 2014, 73(2): 787–804

    Article  Google Scholar 

  21. Samui P. Slope stability analysis: A support vector machine approach. Environmental Geology, 2008, 56(2): 255–267

    Article  Google Scholar 

  22. Kothari U C, Momayez M. Machine learning: A novel approach to predicting slope instabilities. International Journal of Geophysics, 2018: 1–9

  23. Eberhart R. Neural Network PC Tools: A Practical Guide. San Diego: Academic Press, 1990

    Google Scholar 

  24. Das S K, Biswal R K, Sivakugan N, Das B. Classification of slopes and prediction of factor of safety using differential evolution neural networks. Environmental Earth Sciences, 2011, 64(1): 201–210

    Article  Google Scholar 

  25. Erzin Y, Cetin T. The prediction of the critical factor of safety of homogeneous finite slopes using neural networks and multiple regressions. Computers & Geosciences, 2013, 51: 305–313

    Article  Google Scholar 

  26. Gelisli K, Kaya T, Babacan A E. Assessing the factor of safety using an artificial neural network: Case studies on landslides in Giresun, Turkey. Environmental Earth Sciences, 2015, 73(12): 1–8

    Article  Google Scholar 

  27. Wu C I, Kung H Y, Chen C H, Kuo L C. An intelligent slope disaster prediction and monitoring system based on WSN and ANP. Expert Systems with Applications, 2014, 41(10): 4554–4562

    Article  Google Scholar 

  28. Hoang N D, Bui D T. Slope Stability Evaluation Using Radial Basis Function Neural Network, Least Squares Support Vector Machines, and Extreme Learning Machine. Handbook of Neural Computation, 2017: 333–344

  29. Koopialipoor M, Armaghani D J, Hedayat A, Marto A, Gordan B. Applying various hybrid intelligent systems to evaluate and predict slope stability under static and dynamic conditions. Soft Computing, 2019, 23(14): 5913–5929

    Article  Google Scholar 

  30. Wang H B, Sassa K. Rainfall-induced landslide hazard assessment using artificial neural networks. Earth Surface Processes and Landforms, 2006, 31(2): 235–247

    Article  Google Scholar 

  31. Pradhan B, Lee S, Buchroithner M F. A GIS-based back-propagation neural network model and its cross-application and validation for landslide susceptibility analyses. Computers, Environment and Urban Systems, 2010, 34(3): 216–235

    Article  Google Scholar 

  32. Melchiorre C, Matteucci M, Azzoni A, Zanchi A. Artificial neural networks and cluster analysis in landslide susceptibility zonation. Geomorphology, 2008, 94(3–4): 379–400

    Article  Google Scholar 

  33. Li A J, Khoo S, Lyamin A V, Wang Y. Rock slope stability analyses using extreme learning neural network and terminal steepest descent algorithm. Automation in Construction, 2016, 65(5): 42–50

    Article  Google Scholar 

  34. Pradhan B. A comparative study on the predictive ability of the decision tree, support vector machine and neuro-fuzzy models in landslide susceptibility mapping using GIS. Computers & Geosciences, 2013, 51: 350–365

    Article  Google Scholar 

  35. Shi X Z, Zhou J, Zheng W, Hu H Y, Wang H Y. Bayes discriminant analysis method and its application for prediction of slope stability. Journal of Sichuan University: Engineering Science Edition, 2010, 42(3): 63–68 (in Chinese)

    Google Scholar 

  36. Yan X M, Li X B. Bayes discriminant analysis method for predicting the stability of open pit slope. In: International Conference on Electric Technology & Civil Engineering. Lushan: IEEE, 2011

    Google Scholar 

  37. Cheng M Y, Hoang N D. Slope collapse prediction using Bayesian framework with k-nearest neighbor density estimation: Case-study in Taiwan. Journal of Computing in Civil Engineering, 2016, 30(1): 04014116

    Article  Google Scholar 

  38. Li X Z, Kong J M, Wang C H. Application of multi-classification support vector machine in the identifying of landslide stability. Journal of Jilin University, 2010, 40(3): 631–637 (in Chinese)

    Google Scholar 

  39. Zhao H, Yin S, Ru Z. Relevance vector machine applied to slope stability analysis. International Journal for Numerical and Analytical Methods in Geomechanics, 2012, 36(5): 643–652

    Article  Google Scholar 

  40. Zhou J, Li E, Yang S, Wang M, Shi X, Yao S, Mitri H S. Slope stability prediction for circular mode failure using gradient boosting machine approach based on an updated database of case histories. Safety Science, 2019, 118: 505–518

    Article  Google Scholar 

  41. Qi C, Tang X. Slope stability prediction using integrated metaheuristic and machine learning approaches: A comparative study. Computers & Industrial Engineering, 2018, 118: 112–122

    Article  Google Scholar 

  42. Duncan J M. State of the art: Limit equilibrium and finite-element analysis of slopes. Journal of Geotechnical Engineering, 1996, 122(7): 577–596

    Article  Google Scholar 

  43. Swan C C, Seo Y K. Limit state analysis of earthen slopes using dual continuum/FEM approaches. International Journal for Numerical and Analytical Methods in Geomechanics, 1999, 23(12): 1359–1371

    Article  MATH  Google Scholar 

  44. Seo Y K. Computational methods for elastoplastic slope stability analysis with seepage. Dissertation for the Doctoral Degree. Iowa City: University of Iowa, 1998

    Google Scholar 

  45. Sah N K, Sheorey P R, Upadhyaya L N. Maximum likelihood estimation of slope stability. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1994, 31(1): 47–53

    Article  Google Scholar 

  46. Fattahi H. Prediction of slope stability using adaptive neuro-fuzzy inference system based on clustering methods. Journal of Mining and Environment, 2017, 8(2): 163–177

    Google Scholar 

  47. Wang H B, Xu W Y, Xu R C. Slope stability evaluation using backpropagation neural networks. Engineering Geology, 2005, 80(3–4): 302–315

    Article  Google Scholar 

  48. Manouchehrian A, Gholamnejad J, Sharifzadeh M. Development of a model for analysis of slope stability for circular mode failure using genetic algorithm. Environmental Earth Sciences, 2014, 71(3): 1267–1277

    Article  Google Scholar 

  49. Lu P, Rosenbaum M S. Artificial neural networks and grey systems for the prediction of slope stability. Natural Hazards, 2003, 30(3): 383–398

    Article  Google Scholar 

  50. Li J, Wang F. Study on the forecasting models of slope stability under data mining. In: The 12th Biennial International Conference on Engineering, Science, Construction, and Operations in Challenging Environments. Honolulu: ASCE, 2010, 765–776

    Google Scholar 

  51. Gelisli K, Kaya T, Babacan A E. Assessing the factor of safety using an artificial neural network: case studies on landslides in Giresun, Turkey. Environmental Earth Sciences, 2015, 73(12): 1–8

    Article  Google Scholar 

  52. Chakraborty A, Goswami D. Prediction of slope stability using multiple linear regression (MLR) and artificial neural network (ANN). Arabian Journal of Geosciences, 2017, 10(17): 1–11

    Article  Google Scholar 

  53. Feng X T, Wang Y J, Lu S Z. Neural network estimation of slope stability. Journal of Engineering Geology, 1995, 3(4): 54–61

    Google Scholar 

  54. Kostić S, Vasović N, Todorović K, Samčović A. Application of artificial neural networks for slope stability analysis in geotechnical practice. In: 2016 13th Symposium on Neural Networks and Applications (NEUREL). Belgrade: IEEE, 2016, 1–6

    Google Scholar 

  55. Fattahi H. Prediction of slope stability using adaptive neuro-fuzzy inference system based on clustering methods. Journal of Mining and Environment, 2017, 8(2): 163–177

    Google Scholar 

  56. Zhang Z, Liu Z, Zheng L, Zhang Y. Development of an adaptive relevance vector machine approach for slope stability inference. Neural Computing & Applications, 2014, 25(7–8): 2025–2035

    Article  Google Scholar 

  57. Band S S, Janizadeh S, Saha S, Mukherjee K, Bozchaloei S K, Cerdà A, Shokri M, Mosavi A. Evaluating the efficiency of different regression, decision tree, and bayesian machine learning algorithms in spatial piping erosion susceptibility using ALOS/PALSAR data. Land (Basel), 2020, 9(10): 346–368

    Google Scholar 

  58. Tang Z H, Maclennan J. Data Mining with SQL Server 2005. Indianapolis: Wiley Publishing, Inc., 2005

    Google Scholar 

  59. Akgun A. A comparison of landslide susceptibility maps produced by logistic regression, multi-criteria decision, and likelihood ratio methods: A case study at Izmir, Turkey. Landslides, 2012, 9(1): 93–106

    Article  Google Scholar 

  60. Ogutu J O, Schulz-Streeck T, Piepho H P. Genomic selection using regularized linear regression models: Ridge regression, lasso, elastic net and their extensions. BMC Proceedings, 2012, 6(2): 1–6

    Google Scholar 

  61. Kramer O. K-Nearest Neighbors. Berlin: Springer, 2013

    Book  MATH  Google Scholar 

  62. Boser B E, Guyon I M, Vapnik V N. A training algorithm for optimal margin classifiers. In: Proceedings of the Fifth Annual Workshop on Computational Learning Theory. NewYork: Association for Computing Machinery, 1992, 144–152

    Google Scholar 

  63. Myles A J, Feudale R N, Liu Y, Woody N A, Brown S D. An introduction to decision tree modeling. Journal of Chemometrics: A Journal of the Chemometrics Society, 2004, 18(6): 275–285

    Article  Google Scholar 

  64. Murthy S K. Automatic construction of decision trees from data: A multi-disciplinary survey. Data Mining and Knowledge Discovery, 1998, 2(4): 345–389

    Article  Google Scholar 

  65. Breiman L. Random forests. Machine Learning, 2001, 45(1): 5–32

    Article  MATH  Google Scholar 

  66. Friedman J H. Greedy function approximation: A gradient boosting machine. Annals of Statistics, 2001, 29(5): 1189–1232

    Article  MathSciNet  MATH  Google Scholar 

  67. Li X Y, Li W D, Yan X. Human age prediction based on DNA methylation using a gradient boosting regressor. Genes, 2018, 9(9): 424–439

    Article  Google Scholar 

  68. Simm J, Abril I M. ExtraTrees: Extremely Randomized Trees (Extra Trees) Method for Classification and Regression. R Package Version 1.0. 5. 2014

  69. Landis J R, Koch G G. The measurement of observer agreement for categorical data. Biometrics, 1977, 33(1): 159–174

    Article  MATH  Google Scholar 

Download references

Acknowledgements

Supported by the National Natural Science Foundation of China (Grant Nos. 11972043 and 11902134), Open Research Fund of the State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, and Chinese Academy of Sciences (Z019008), China Postdoctoral Science Foundation funded project (No. 2020M670077).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Bei Han or Wei Li.

Electronic Supplementary Material

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lin, S., Zheng, H., Han, C. et al. Evaluation and prediction of slope stability using machine learning approaches. Front. Struct. Civ. Eng. 15, 821–833 (2021). https://doi.org/10.1007/s11709-021-0742-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11709-021-0742-8

Keywords

Navigation