Reliability Analysis of Perilous Toppling Rock Considering Seismic Force Directions

TANG Hongmei; SHU Qingjiang; WANG Linfeng

doi:10.21656/1000-0887.400057

Volume 41 Issue 3

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(3): 319-328

TANG Hongmei, SHU Qingjiang, WANG Linfeng. Reliability Analysis of Perilous Toppling Rock Considering Seismic Force Directions[J]. Applied Mathematics and Mechanics, 2020, 41(3): 319-328. doi: 10.21656/1000-0887.400057

Citation:

PDF( 1759 KB)

Reliability Analysis of Perilous Toppling Rock Considering Seismic Force Directions

doi: 10.21656/1000-0887.400057

Institute of Geotechnical Engineering, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Funds: The National Natural Science Foundation of China（51678097;51378521）

Received Date: 2019-02-25
Rev Recd Date: 2019-04-01
Publish Date: 2020-03-01

Abstract

Abstract

Lateral unloading leads to development of many perilous rock masses on high and steep slopes. It is significant to judge the probability of instability under the action of rainfall and earthquake. For the perilous toppling rock, the physical and mechanical model with the most dangerous seismic force directions was established. Based on the extreme value theory for functions, the expression of the most dangerous seismic force direction was given. Combined with the reliability theory, the reliability index, the expression of the probability of instability and the judgment criterion for the perilous toppling rock were built. The proposed method was applied to analyze the stability of perilous toppling rock masses in the Jinfoshan district in Chongqing. The calculation results show that, the most dangerous seismic force direction in case 1 is within 5°, and in case 2 is about 10°; the most dangerous direction angle is not a fixed value, but related to the shape, the fracture water pressure and the depth of rock cavity, etc. When the control crack length is small, the most dangerous direction angle is small under other conditions but will increase significantly with the crack length. The probability of instability increases with the control crack length in case 2 more than in case 1. The research work is applicable to disaster prevention and mitigation of perilous rocks.
- perilous toppling rock,
- seismic force direction,
- reliability,
- probability of instability

FullText(HTML)

References(21)

References

[1]	陈洪凯, 唐红梅, 王蓉. 三峡库区危岩稳定性计算方法及应用[J]. 岩石力学与工程学报, 2004,23(4): 614-619.(CHEN Hongkai, TANG Hongmei, WANG Rong. Calculation method of stability for unstable rock and application to the three gorges reservoir[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(4): 614-619.(in Chinese))
[2]	黄润秋. 汶川地震地质灾害研究[M]. 北京: 科学出版社, 2009.(HUANG Runqiu. Geohazard Assessment of the Wenchuan Earthquake [M]. Beijing: Science Press, 2009.(in Chinese))
[3]	苏天明, 张艳鸽. 风化岩腔边坡的演化与应力场分析[J]. 公路交通科技, 2013,30(7): 30-34.(SU Tianming, ZHANG Yange. Evolution of weathered slope above rock cavity and analysis of its stress field[J]. Journal of Highway and Transportation Research and Development,2013,30(7): 30-34.(in Chinese))
[4]	王根龙, 伍法权, 祁生文. 悬臂-拉裂式崩塌破坏机制研究[J]. 岩土力学, 2012,33(S2): 269-274.(WANG Genlong, WU Faquan, QI Shengwen. Research on failure mechanisms for cantilever and tension crack-type collapse[J]. Rock and Soil Mechanics,2012,33(S2): 269-274.(in Chinese))
[5]	陈健云, 岳红原, 徐强. 复杂环境下倾倒式危岩体的动力稳定性分析[J]. 岩石力学与工程学报, 2016,35(10): 1965-1974.(CHEN Jianyun, YUE Hongyuan, XU Qiang. Dynamic stability analysis of perilous toppling rock in complex environment[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(10): 1965-1974.(in Chinese))
[6]	周云涛, 石胜伟, 张勇, 等. 岩腔后退近水平砂-泥岩互层危岩稳定性研究[J]. 工程地质学报, 2017,25 (5): 1220-1229.(ZHOU Yuntao, SHI Shengwei, ZHANG Yong, et al. Stability of unstable rock in nearly-horizontal sandstone-mudstone stratum due to enlarged rock-cell[J]. Journal of Engineering Geology,2017,25(5): 1220-1229.(in Chinese))
[7]	LIU C H, JAKSA M B, MEYERS A G. A transfer coefficient method for rock slope toppling[J]. Canadian Geotechnical Journal,2009,46(1): 1-9.
[8]	陈维, 徐则民, 刘文连. 差异风化型危岩力学模型及破坏机制研究[J]. 岩土力学, 2015,36(1): 195-204.(CHEN Wei, XU Zeming, LIU Wenlian. Mechanical model and failure mechanism of unstable cantilevered rock blocks due to differential weathering[J]. Rock and Soil Mechanics,2015,36(1): 195-204.(in Chinese))
[9]	WU J H. Seismic landslide simulations in discontinuous deformation analysis[J]. Computers and Geotechnics,2010,37(5): 594-601.
[10]	何强, 吴礼舟, 李部, 等. 拉剪倾倒型危岩失稳影响因素研究[J]. 河海大学学报(自然科学版), 2017,45(3): 235-242.(HE Qiang, WU Lizhou, LI Bu, et al. Factors of instability of toppling unstable rocks subjected to tensile and shear stresses[J]. Journal of Hohai University(Natural Sciences),2017,45(3): 235-242.(in Chinese))
[11]	刘海军, 赵建军, 巨能攀. 考虑地震作用方向的危岩稳定性研究[J]. 水文地质工程地质, 2015,42(2): 59-63.(LIU Haijun, ZHAO Jianjun, JU Nengpan. A study of the stability of dangerous rocks considering the action direction of the seismic force[J]. Hydrogeology & Engineering Geology,2015,42(2): 59-63.(in Chinese))
[12]	薛新华, 樊旭, 郭志元, 等. 地震荷载作用下倾倒式危岩体动力失稳机理研究[J]. 沈阳建筑大学学报(自然科学版), 2017,33(2): 73-79.(XUE Xinhua, FAN Xu, GUO Zhiyuan, et al. Dynamic stability analysis of toppling unstable rock under seismic loading[J]. Journal of Shenyang Jianzhu University(Natural Science),2017,33(2): 73-79.(in Chinese))
[13]	张海娜, 陈从新, 郑允, 等. 地震作用下的层状岩质边坡块状-弯曲倾倒解析分析[J]. 中国公路学报, 2018,31(2): 75-86.(ZHANG Haina, CHEN Congxin, ZHENG Yun, et al. Analytical study on block-flexure toppling failure of rock slopes subjected to seismic loads[J]. China Journal of Highway and Transport,2018,31(2): 75-86.(in Chinese))
[14]	刘才华, 陈从新. 地震作用下岩质边坡块体倾倒破坏分析[J]. 岩石力学与工程学报, 2010,29(S1): 3194-3198.(LIU Caihua, CHEN Congxin. Analysis of toppling failure of rock slopes due to earthquakes[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(S1): 3194-3198.(in Chinese))
[15]	刘俊卿, 韩晶. 基于模糊数学理论的沥青路面结构可靠度分析[J]. 应用数学和力学, 2018,39(9): 97-106.(LIU Junqing, HAN Jing. Reliability analysis of asphalt pavement structure based on fuzzy mathematics theory[J]. Applied Mathematics and Mechanics,2018,39(9): 97-106.(in Chinese))
[16]	DUZGUN H S B, BHASIN R K. Probabilistic stability evaluation of oppstadhornet rock slope, Norway[J]. Rock Mechanics and Rock Engineering,2009,42(5): 729-749.
[17]	靳红华, 王林峰, 杨培丰. 覆盖型岩溶塌陷的可靠性分析[J]. 铁道建筑, 2018,58(11): 112-117.(JIN Honghua, WANG Linfeng, YANG Peifeng. Reliability analysis of covered karst cave collapse[J]. Railway Engineering,2018,58(11): 112-117.(in Chinese))
[18]	杜毅, 晏鄂川, 蔡静森, 等. 断续结构面控制的危岩稳定可靠度分析方法[J]. 哈尔滨工业大学学报, 2019,51(8): 120-127.(DU Yi, YAN Echuan, CAI Jingsen, et al. Reliability analysis method on unstable rock mass controlled by discontinuous structure[J]. Journal of Harbin Institute of Technology,2019,51(8): 120-127.(in Chinese))
[19]	杨智翔, 裴向军, 袁进科. 基于可靠度理论对滑移式落石的稳定性及敏感性分析[J]. 科学技术与工程, 2017,17(1): 285-290.(YANG Zhixiang, PEI Xiangjun, YUAN Jinke. The reliability theory to slippage of rockfall stability and sensitivity analysis[J]. Science Technology and Engineering,2017,17(1): 285-290.(in Chinese))
[20]	贡金鑫, 魏巍巍. 工程结构可靠性设计原理[M]. 北京: 机械工业出版社, 2007.(GONG Jinxin, WEI Weiwei. Principle of Reliability Design of Engineering Structure [M]. Beijing: Mechanical Industry Press, 2007.(in Chinese))
[21]	张倬元, 王士天, 王兰生. 工程地质分析原理[M]. 北京: 地质出版社, 2005.(ZHANG Zhuoyuan, WANG Shitian, WANG Lansheng. Principle of Engineering Geological Analysis [M]. Beijing: Geological Publishing House, 2005.(in Chinese))