Research on the joint influence of multiple factors on the normal coefficient of restitution of rockfall

JI Zhongmin; ZHANG Sheng; WU Faquan; NIU Qinghe; WANG Keyi

doi:10.16030/j.cnki.issn.1000-3665.202105050

Volume 49 Issue 2

Mar. 2022

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Hydrogeology & Engineering Geology > 2022 > 49(2): 164-173. > DOI: 10.16030/j.cnki.issn.1000-3665.202105050

JI Zhongmin, ZHANG Sheng, WU Faquan, et al. Research on the joint influence of multiple factors on the normal coefficient of restitution of rockfall[J]. Hydrogeology & Engineering Geology, 2022, 49(2): 164-173. DOI: 10.16030/j.cnki.issn.1000-3665.202105050

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Research on the joint influence of multiple factors on the normal coefficient of restitution of rockfall

1.
School of Civil Engineering, Shaoxing University, Shaoxing, Zhejiang　312000, China
2.
School of Civil Engineering, Zhengzhou University of Technology, Zhengzhou, Henan　450044, China
3.
College of Resources Environment and Jewelry, Jiangxi College of Applied Technology, Ganzhou, Jiangxi　341000, China
4.
School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang, Hebei　050043, China
5.
School of Civil Engineering, Hebei University of Engineering, Handan, Hebei　056038, China

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Received Date: May 21, 2021
Revised Date: August 05, 2021
Available Online: March 03, 2022
Published Date: March 20, 2022

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Abstract

Abstract

The normal coefficient of restitution (R_n) is the most critical input parameter in the prediction and analysis of rockfall disasters. Because of its many controlling factors, how to determine an accurate and reasonable value of R_n is still a difficult problem. In order to explore the law and mechanism of the joint influence of multiple factors on R_n, the response surface methodology-central composite design method is used to investigate the combined effect of seven factors on R_n for the first time. Through regression and variance analysis of the test results, the seven selected factors have the significant effects on R_n, and the order of significance is the impact angle (θ) > block hardness (H₁) > rotational speed (ω) > shape factor (η) > incident velocity (V) > slope hardness (H₂) > size (d). Many interaction parameters also show the significant effects on R_n, in the order of d−θ > H₁−d > V−η > H₁−ω > d−η > η−ω > H₁−η. For a single factor parameter, R_n increases with the decrease of d, V, η, θ and the increase of H₁, H₂, ω; for interaction parameters, d and ω have a weak effect on R_n, only when H₁ is small, and the effect gradually increases with the increase of H₁; η has a significant effect on R_n when H₁ is small, and the effect significantly decreases with the increase of H₁; when η is small, R_n increases significantly with the decrease of V or d, and this effect is not significant when η is large; when θ is small, R_n decreases rapidly with the increase of θ, and the decreasing trend slows down when θ is large. Compared with block with small η, the ω of block with larger η has a more significant effect on R_n. These conclusions can provide an important reference for the construction of the R_n calculation model of rockfall, and provide a basis for the accurate prediction and prevention of rockfall disasters.
- rockfall,
- normal coefficient of restitution,
- response surface,
- joint influence,
- interactive effect

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References

[1]	何思明, 吴永, 李新坡. 滚石冲击碰撞恢复系数研究[J]. 岩土力学,2009,30(3):623 − 627. [HE Siming, WU Yong, LI Xinpo. Research on restitution coefficient of rock fall[J]. Rock and Soil Mechanics,2009,30(3):623 − 627. (in Chinese with English abstract) DOI: 10.3969/j.issn.1000-7598.2009.03.008
[2]	章广成, 向欣, 唐辉明. 落石碰撞恢复系数的现场试验与数值计算[J]. 岩石力学与工程学报,2011,30(6):1266 − 1273. [ZHANG Guangcheng, XIANG Xin, TANG Huiming. Field test and numerical calculation of restitution coefficient of rockfall collision[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1266 − 1273. (in Chinese with English abstract)
[3]	姬中民, 唐一举, 伍法权, 等. 落石形状和尺寸对恢复系数影响的室内试验研究[J]. 岩土力学,2021,42(3):665 − 672. [JI Zhongmin, TANG Yiju, WU Faquan, et al. Laboratory investigation of the effect of rockfall shape and size on coefficient of restitution[J]. Rock and Soil Mechanics,2021,42(3):665 − 672. (in Chinese with English abstract)
[4]	吴建利, 胡卸文, 梅雪峰, 等. 落石冲击混凝土板与缓冲层组合结构的动力响应[J]. 水文地质工程地质,2021,48(1):78 − 87. [WU Jianli, HU Xiewen, MEI Xuefeng, et al. Dynamic response of RC slab with cushion layer composed of sandy soil to rockfall impact[J]. Hydrogeology & Engineering Geology,2021,48(1):78 − 87. (in Chinese with English abstract)
[5]	吴建利, 胡卸文, 梅雪峰, 等. 高位落石作用下不同缓冲层与钢筋混凝土板组合结构动力响应[J]. 水文地质工程地质,2020,47(4):114 − 122. [WU Jianli, HU Xiewen, MEI Xuefeng, et al. Dynamic response of RC plate with different cushion layers under the high-level rockfall impact[J]. Hydrogeology & Engineering Geology,2020,47(4):114 − 122. (in Chinese with English abstract)
[6]	沈均, 何思明, 吴永. 滚石灾害研究现状及发展趋势[J]. 灾害学,2008,23(4):122 − 125. [SHEN Jun, HE Siming, WU Yong. Present research status and development trend of rockfall hazards[J]. Journal of Catastrophology,2008,23(4):122 − 125. (in Chinese with English abstract) DOI: 10.3969/j.issn.1000-811X.2008.04.025
[7]	YAN P, ZHANG J H, KONG X Z, et al. Numerical simulation of rockfall trajectory with consideration of arbitrary shapes of falling rocks and terrain[J]. Computers and Geotechnics,2020,122:103511. DOI: 10.1016/j.compgeo.2020.103511
[8]	AGLIARDI F, CROSTA G B. High resolution three-dimensional numerical modelling of rockfalls[J]. International Journal of Rock Mechanics and Mining Sciences,2003,40(4):455 − 471. DOI: 10.1016/S1365-1609(03)00021-2
[9]	LAN H X, MARTIN C D, LIM C H. RockFall analyst: a GIS extension for three dimensional and spatially distributed rockfall hazard modeling[J]. Computers & Geosciences,2007,33(2):262 − 279.
[10]	STEVENS W. RockFall: a tool for probabilistic analysis, design of remedial measures and prediction of rock falls[D].Toronto: University of Toronto, 1998.
[11]	DORREN L K A. Rockyfor3D (v5.2) revealed-transparent description of the complete 3D rockfall model[EB/OL]. (2015-12-16)[2021-04-20]. http://www.ecorisq.org/
[12]	LI L P, LAN H X. Probabilistic modeling of rockfall trajectories: a review[J]. Bulletin of Engineering Geology and the Environment,2015,74(4):1163 − 1176. DOI: 10.1007/s10064-015-0718-9
[13]	叶四桥, 巩尚卿. 落石碰撞法向恢复系数的模型试验研究[J]. 中国铁道科学,2015,36(4):13 − 19. [YE Siqiao, GONG Shangqing. Research on normal restitution coefficient of rockfall collision by model tests[J]. China Railway Science,2015,36(4):13 − 19. (in Chinese with English abstract) DOI: 10.3969/j.issn.1001-4632.2015.04.03
[14]	黄润秋, 刘卫华. 基于正交设计的滚石运动特征现场试验研究[J]. 岩石力学与工程学报,2009,28(5):882 − 891. [HUANG Runqiu, LIU Weihua. In-situ test study of characteristics of rolling rock blocks based on orthogonal design[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(5):882 − 891. (in Chinese with English abstract) DOI: 10.3321/j.issn:1000-6915.2009.05.003
[15]	叶四桥, 巩尚卿, 王林峰, 等. 落石碰撞切向恢复系数的取值研究[J]. 中国铁道科学,2018,39(1):8 − 15. [YE Siqiao, GONG Shangqing, WANG Linfeng, et al. Research on value of tangential restitution coefficient for rockfall collision[J]. China Railway Science,2018,39(1):8 − 15. (in Chinese with English abstract) DOI: 10.3969/j.issn.1001-4632.2018.01.02
[16]	GIANI G P, GIACOMINI A, MIGLIAZZA M, et al. Experimental and theoretical studies to improve rock fall analysis and protection work design[J]. Rock Mechanics and Rock Engineering,2004,37(5):369 − 389. DOI: 10.1007/s00603-004-0027-2
[17]	SPADARI M, GIACOMINI A, BUZZI O, et al. In situ rockfall testing in New South Wales, Australia[J]. International Journal of Rock Mechanics and Mining Sciences,2012,49:84 − 93. DOI: 10.1016/j.ijrmms.2011.11.013
[18]	FERRARI F, GIANI G P, APUANI T. Why can rockfall normal restitution coefficient be higher than one?[J]. Rend Online Soc Geol It, 2013, 24: 122 − 124.
[19]	WYLLIE D C. Calibration of rock fall modeling parameters[J]. International Journal of Rock Mechanics and Mining Sciences,2014,67:170 − 180. DOI: 10.1016/j.ijrmms.2013.10.002
[20]	PFEIFFER T, BOWEN T. Computer simulation of rockfalls[J]. Environmental & Engineering Geoscience,1989,26(1):135 − 146.
[21]	ASTERIOU P, TSIAMBAOS G. Empirical model for predicting rockfall trajectory direction[J]. Rock Mechanics and Rock Engineering,2016,49(3):927 − 941. DOI: 10.1007/s00603-015-0798-7
[22]	ASTERIOU P, TSIAMBAOS G. Effect of impact velocity, block mass and hardness on the coefficients of restitution for rockfall analysis[J]. International Journal of Rock Mechanics and Mining Sciences,2018,106:41 − 50. DOI: 10.1016/j.ijrmms.2018.04.001
[23]	ASTERIOU P, SAROGLOU H, TSIAMBAOS G. Geotechnical and kinematic parameters affecting the coefficients of restitution for rock fall analysis[J]. International Journal of Rock Mechanics and Mining Sciences,2012,54:103 − 113. DOI: 10.1016/j.ijrmms.2012.05.029
[24]	JI Z M, CHEN Z J, NIU Q H, et al. Laboratory study on the influencing factors and their control for the coefficient of restitution during rockfall impacts[J]. Landslides,2019,16(10):1939 − 1963. DOI: 10.1007/s10346-019-01183-x
[25]	GIACOMINI A, THOENI K, LAMBERT C, et al. Experimental study on rockfall drapery systems for open pit highwalls[J]. International Journal of Rock Mechanics and Mining Sciences,2012,56:171 − 181. DOI: 10.1016/j.ijrmms.2012.07.030
[26]	ANSARI M K, AHMAD M, SINGH R, et al. Correlation between Schmidt hardness and coefficient of restitution of rocks[J]. Journal of African Earth Sciences,2015,104:1 − 5. DOI: 10.1016/j.jafrearsci.2015.01.005
[27]	CHAU K T, WONG R H C, LEE F. Rockfall problems in Hong Kong and some new experimental results for coefficients of restitution[J]. International Journal of Rock Mechanics and Mining Sciences,1998,35(4/5):662 − 663.
[28]	TURRIN S, HANSS M, SELVADURAI A P S. An approach to uncertainty analysis of rockfall Simulation[J]. Computer Modeling in Engineering & Sciences,2009,52(3):237 − 258.
[29]	BUZZI O, GIACOMINI A, SPADARI M. Laboratory investigation on high values of restitution coefficients[J]. Rock Mechanics and Rock Engineering,2012,45(1):35 − 43.
[30]	柳万里, 晏鄂川, 魏鹏飞, 等. 落石运动特征试验及影响因素敏感性分析[J]. 山地学报,2021,39(1):47 − 58. [LIU Wanli, YAN Echuan, WEI Pengfei, et al. Experimental study on rockfall and sensitivity analysis of influencing factors[J]. Mountain Research,2021,39(1):47 − 58. (in Chinese with English abstract)
[31]	SAKKAS V A, ISLAM M A, STALIKAS C, et al. Photocatalytic degradation using design of experiments: A review and example of the Congo red degradation[J]. Journal of Hazardous Materials,2010,175(1/2/3):33 − 44.
[32]	FITYUS S G, GIACOMINI A, BUZZI O. The significance of geology for the morphology of potentially unstable rocks[J]. Engineering Geology,2013,162:43 − 52. DOI: 10.1016/j.enggeo.2013.05.007

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Research on the joint influence of multiple factors on the normal coefficient of restitution of rockfall

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