Weight Analysis of Impact Factors of Interbedded Anti-Inclined Slopes Block-Flexure Toppling Based on Support Vector Regression

Abstract

Block-flexure toppling failure is frequently encountered in interbedded anti-inclined rock (IAR) slopes, and seriously threatens the construction of hydropower infrastructure. In this study, we first investigated the Lean Reservoir area’s geological setting and the Linda landslide’s characteristics. Then, uniform design and random design were used to design 110 training datasets and 31 testing datasets, respectively. Afterwards, the toppling response was obtained by using the discrete element code. Finally, support vector regression was used to obtain the influence weights of 21 impact factors. The results show that the influence weight of the slope angle and rock formation dip angle on the toppling deformation among tertiary impact factors is 25.96% and 17.28%, respectively, which are much greater than the other 19 impact factors within the research range. For the primary impact factors, the influence weight is sorted from large to small as slope geometry parameters, joints parameters, and rock mechanics parameters. Joints parameters, especially the geometric parameters, cannot be ignored when evaluating the stability of IAR slopes. Through numerical simulation, it was qualitatively determined that failure surfaces of slopes were controlled by cross joints and that the rocks in the slope toe play a role in preventing slope deformation.

Keywords

interbedded anti-inclined slopes / block-flexure toppling / impact factors / numerical simulation / support vector regression / engineering geology

References

Adhikary D P, Dyskin A V, Jewell R J. Numerical Modelling of the Flexural Deformation of Foliated Rock Slopes. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1996, 33(6): 595-606.

Adhikary D P, Dyskin A V, Jewell R J, . A Study of the Mechanism of Flexural Toppling Failure of Rock Slopes. Rock Mechanics and Rock Engineering, 1997, 30(2): 75-93.

Alejano L R, Sánchez-Alonso C, Pérez-Rey I, . Block Toppling Stability in the Case of Rock Blocks with Rounded Edges. Engineering Geology, 2018, 234: 192-203.

Alzo’ubi, A. K., Martin, C. D., Cruden, D. M., 2007. A Discrete Element Damage Model for Rock Slopes. Rock Mechanics: Meeting Society’s Challenges and Demands: Proceedings of the 1st Canada-US Rock Mechanics Symposium, Vancouver, May 27–31, 2007. https://doi.org/10.1201/noe0415444019-c62

Alzo’ubi A K, Martin C D, Cruden D M. Influence of Tensile Strength on Toppling Failure in Centrifuge Tests. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(6): 974-982.

Amini M, Majdi A, Aydan Ö. Stability Analysis and the Stabilisation of Flexural Toppling Failure. Rock Mechanics and Rock Engineering, 2009, 42(5): 751-782.

Amini M, Majdi A, Veshadi M A. Stability Analysis of Rock Slopes Against Block-Flexure Toppling Failure. Rock Mechanics and Rock Engineering, 2012, 45(4): 519-532.

Aydan Ö, Kawamoto T. The Stability of Slopes and Underground Openings Against Flexural Toppling and Their Stabilisation. Rock Mechanics and Rock Engineering, 1992, 25(3): 143-165.

Azimi H, Bonakdari H, Ebtehaj I. Design of Radial Basis Function-Based Support Vector Regression in Predicting the Discharge Coefficient of a Side Weir in a Trapezoidal Channel. Applied Water Science, 2019, 9(4): 1-12.

Cruden D M, Krahn J. Frank Rockslide, Alberta, Canada. Developments in Geotechnical Engineering, 1978, Amsterdam: Elsevier, 97-112

Fan T C, Zhou C B, Jiang N, . Optimizing Process of Preparing Artificial-Similar Material for Rocky Slope with Uniform Formula Design. Journal of Central South University, 2018, 25(12): 2871-2882.

Fang K, Tang H, Li C, . Centrifuge Modelling of Landslides and Landslide Hazard Mitigation: A Review. Geoscience Frontiers, 2023, 14: 101493

Fang K T. Uniform Design: Application of Number-Theoretic Methods in Experimental Design. Acta Math. Appl. Sin., 1980, 3 363-372.

Fang K T, Lin D K J, Winker P, . Uniform Design: Theory and Application. Technometrics, 2000, 42(3): 237-248.

Goodman R E, Bray J W. Toppling of Rock Slopes. Proceedings of the Specialty Conference on Rock Engineering for Foundations and Slopes, 1976, Boulder: American Society of Civil Engineering, 739-760. Vol. 2

Guo S F, Qi S W, Yang G X, . An Analytical Solution for Block Toppling Failure of Rock Slopes during an Earthquake. Applied Sciences, 2017, 7(10): 1008

Haghgouei H, Kargar A R, Amini M, . An Analytical Solution for Analysis of Toppling-Slumping Failure in Rock Slopes. Engineering Geology, 2020, 265: 105396

Hou Y L, Chigira M, Tsou C Y. Numerical Study on Deep-Seated Gravitational Slope Deformation in a Shale-Dominated Dip Slope Due to River Incision. Engineering Geology, 2014, 179 59-75.

Huang R Q. Mechanisms of Large-Scale Landslides in China. Bulletin of Engineering Geology and the Environment, 2012, 71(1): 161-170.

Jiang Z R, Wang L H. The Affecting Factors of Slope Stability Based on Orthogonal Design. Advanced Materials Research, 2013, 690/691/692/693 756-759.

Li Z, Wang J A, Li L, . A Case Study Integrating Numerical Simulation and GB-InSAR Monitoring to Analyze Flexural Toppling of an Anti-Dip Slope in Fushun Open Pit. Engineering Geology, 2015, 197: 20-32.

Lin P, Liu X L, Hu S Y, . Large Deformation Analysis of a High Steep Slope Relating to the Laxiwa Reservoir, China. Rock Mechanics and Rock Engineering, 2016, 49(6): 2253-2276.

Müller L. New Considerations on the Vaiont Slide. Rock Mechanics and Engineering Geology, 1968, 6: 1-91.

Miao F S, Wu Y P, Xie Y H, . Prediction of Landslide Displacement with Step-Like Behavior Based on Multialgorithm Optimization and a Support Vector Regression Model. Landslides, 2018, 15(3): 475-488.

Ning Y B, Tang H M, Wang F, . Sensitivity Analysis of Toppling Deformation for Interbedded Anti-Inclined Rock Slopes Based on the Grey Relation Method. Bulletin of Engineering Geology and the Environment, 2019, 78(8): 6017-6032.

Sarfaraz H, Amini M. Numerical Modeling of Rock Slopes with a Potential of Block-Flexural Toppling Failure. Journal of Mining and Environment, 2020, 11(1): 247-259

Seno S, Thüring M. Large Landslides in Ticino, Southern Switzerland: Geometry and Kinematics. Engineering Geology, 2006, 83(1/2/3): 109-119.

Vapnik V. The Nature of Statistical Learning Theory, 2000 Second New York: Springer-Verlag, 138-167.

Wang D J, Tang H M, Zhang Y Q, . Local Failure Probability of the Anti-Dip Slope Susceptible to Flexural Toppling. Stochastic Environmental Research and Risk Assessment, 2019, 33(4/5/6): 1187-1202.

Wang Y A, Fang K T. A Note on Uniform Distribution and Experimental Design. Chinese Science Bulletin, 2005, 26: 485-489.

Xie L F, Yan E C, Ren X B, . Sensitivity Analysis of Bending and Toppling Deformation for Anti-Slope Based on the Grey Relation Method. Geotechnical and Geological Engineering, 2015, 33(1): 35-41.

Xie L F, Ge Y, Zhang J Q, . Geometric Model for Toppling-Prone Deformation of Layered Reverse-Dip Slope. Natural Hazards, 2021, 106(3): 1879-1894.

Yagoda-Biran G, Hatzor Y H. A New Failure Mode Chart for Toppling and Sliding with Consideration of Earthquake Inertia Force. International Journal of Rock Mechanics and Mining Sciences, 2013, 64: 122-131.

Yin Y P, Sun P, Zhu J L, . Research on Catastrophic Rock Avalanche at Guanling, Guizhou, China. Landslides, 2011, 8(4): 517-525.

Zhang G C, Wang F, Zhang H, . New Stability Calculation Method for Rock Slopes Subject to Flexural Toppling Failure. International Journal of Rock Mechanics and Mining Sciences, 2018, 106: 319-328.

Zheng Y, Chen C X, Liu T T, . Theoretical and Numerical Study on the Block-Flexure Toppling Failure of Rock Slopes. Engineering Geology, 2019, 263: 105309

Zheng Y, Chen C X, Liu T T, . Study on the Mechanisms of Flexural Toppling Failure in Anti-Inclined Rock Slopes Using Numerical and Limit Equilibrium Models. Engineering Geology, 2018, 237 116-128.