Stability Analysis of Perilous Ｒock Considering Lunar Tide-Generating Force and Temperature Difference between Day and Night

doi:10.3969 /j.issn.1674-0696.2013.04.19

Abstract

Abstract: Taking astronomy and impact of temperature difference in one day into account，the mechanism of perilous rock is analyzed． According to solid tide theory，the characteristics that moon’s gravitation results in gravity of perilous rock changing between day and night are analyzed，and the calculation method of moon’s gravitation for perilous rock is also proposed． Furthermore，the effect of temperature difference between day and night on the characteristics of filling in control fissure expanding after sopping up is analyzed． Hereby，basing on the moon’s gravitation and swelling force of filling，the stability calculation method of perilous rock is revised． At last，taking Wanzhou Taibaiyan perilous rock as an example，the stability coefficients are calculated and the stability coefficients are reduced from 0． 96% to 6． 73% ，considering the moons gravitation and swelling force of filling in control fissure． The research results are of positive significance for studying failure mechanism of perilous rock．

Key words: stability of perilous rock, lunar tide-generating force, temperature difference between day and night

摘要： 危岩稳定性是科学分析崩塌灾情的关键环节。根据天文固体潮理论，分析了月球引潮力造成危岩重力效应出现昼夜交替变化的特征，建立了危岩受月球引潮力作用的荷载计算方法; 分析了昼夜温差效应对危岩主控结构面内充填物吸水膨胀特性的影响，提出了膨胀力计算公式; 引入月球引潮力和昼夜温差效应膨胀力修正危岩稳定系数计算公式，实例分析表明，考虑月球引潮力和昼夜温差效应后，危岩的稳定系数可降低0． 96% ～6． 73%，坠落式危岩劣化程度更为明显。研究成果对进一步实施危岩破坏机理研究有积极意义。

关键词: 危岩稳定性, 月球引潮力, 昼夜温差效应

CLC Number:

Chen Hongkai，Tang Lan，Zhu Xiuzhu. Stability Analysis of Perilous Ｒock Considering Lunar Tide-Generating Force and Temperature Difference between Day and Night[J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(4): 625-629.

陈洪凯，唐兰，朱绣竹. 考虑月球引潮力和昼夜温差效应的危岩稳定性分析[J]. 重庆交通大学学报（自然科学版）, 2013, 32(4): 625-629.

References

[1] 陈洪凯，唐红梅，王林峰，等．危岩崩塌演化理论及应用[M]．北京: 科学出版社， 2009．
Chen Hongkai，Tang Hongmei，Wang Linfeng，et al． Evolution Theory on Unstable Ｒocks Collapsing and Its Application [M]．Beijing: Science Press，2009．
[2] 许强，黄润秋，殷跃平，等． 2009 年6． 5 重庆武隆鸡尾山崩滑灾害基本特征与成因机理初步研究[J]．工程地质学报，2009，17( 4) : 433-444．
Xu Qiang，Huang Ｒunqiu，Yin Yueping，et al． The Jiwei Shan landslide of June 5，2009 in Wulong，Chongqing: characteristics and failure mechanism [J]． Journal of Engineering Geology，2009，17( 4) : 433-444．
[3] 王家臣，谭文辉．边坡渐进破坏三维随机分析[J]．煤炭学报，1997，22( 1) : 27-31．
Wang Jiachen，Tan Wenhui． Three dimensional stochastic analysis of slope progressive failure [J]． Journal of China Coal Society，1997，22( 1) : 27-31．
[4] 张永兴，卢黎，张四平，等．差异风化型危岩形成和破坏机理[J]．土木建筑与环境工程，2010， 32( 2) : 1-6．
Zhang Yongxing，Lu Li，Zhang Siping，et al． Development and failure principle of differential weathering overhanging rock [J]．Journal of Civil， Architectural ＆ Environmental Engineering，2010，32( 2) : 1-6．
[5] Frayssines M，Hantz D． Modeling and back-analyzing failures in steep limestone cliffs[J]． International Journal of Ｒock Mechanics and Mining Sciences，2009，46( 7) : 1115-1123．
[6] 陈洪凯，鲜学福，唐红梅．石质山区崩塌灾害形成机制[J]．四川大学学报: 工科版， 2010，42( 3) : 1-6．
Chen Hongkai，Xian Xuefu，Tang Hongmei． Formation mechanism of collapse disaster in rocky mountain region [J]． Journal of Sichuan University: Engineering ＆ Science Edition，2010，42( 3) :1-6．
[7] Chen Hongkai，Tang Hongmei，Ye Siqiao． Damage model of control fissure in perilous rock[J]． Applied Mathematics and Mechanics:English Edition，2006，27( 7) : 967-974．
[8] Chen Hongkai，Tang Hongmei． Method to calculate fatigue fracture life of control fissure in perilous rock [J]． Applied Mathematics and Mechanics: English Edition，2007，28( 5) : 643-649．
[9] 陈洪凯，鲜学福，唐红梅．危岩稳定性断裂力学计算方法[J]．重庆大学学报， 2009， 32( 4) : 434-437．
Chen Hongkai，Xian Xuefu，Tang Hongmei． Stability calculation method of unstable rock with fracture mechanics [J]． Journal of Chongqing University，2009，32( 4) : 434-437．
[10] 唐红梅，王智，鲜学福，等．坠落式危岩剧动式崩落与激振效应[J]．重庆大学学报，2011， 34( 10) : 39-45．
Tang Hongmei，Wang Zhi，Xian Xuefu，et al． Violent vibration collapse and ringing effect of falling unstable rock [J]． Journal of Chongqing University，2011，34( 10) : 39-45．
[11] 陈洪凯，张瑞刚，唐红梅，等．压剪型危岩破坏弹冲动力参数研究[J]．振动与冲击，2012， 31( 24) : 33-36．
Chen Hongkai，Zhang Ｒuigang，Tang Hongmei，et al． Study on compression-shear unstable rock for failure elastic impulse parameters[J]． Journal of Vibration and Shock，2012，31 ( 24) : 33-36．
[12] 唐红梅，王林峰，陈洪凯，等．软弱基座陡崖危岩崩落序列[J]．岩土工程学报，2010， 32( 2) : 205-210．
Tang Hongmei，Wang Linfeng，Chen Hongkai，et al． Collapse sequence of unstable rock with weak base on the cliff [J]． Chinese Journal of Geotechnical Engineering，2010，32( 2) : 205-210．
[13] [日]浜野洋三．地球的奥秘[M]．王恩忠，译．北京: 科学出版社，2003．
[Japan]Hamano Yomi． The Mysteries of the Earth [M]． Wang Enzhong，trans． Beijing: Science Press，2003．
[14] 郭增建，韩延本，吴瑾冰，等．固体潮与矿井坍崩事故[J]．内陆地震，2004，18( 4) : 313-316．
Guo Zengjian，Han Yanben，Wu Jinbing，et al． Solid tide and mine disasters[J]． Inland Earthquake，2004，18( 4) : 313-316．
[15] 萧耐园，夏一飞．国内天文地球动力学中的潮汐研究[J]．天文学进展，2004，22( 1) : 23-31．
Xiao Naiyuan，Xia Yifei． Progress in China in the tide researches in astrogeodynamics [J]． Progress in Astronomy，2004，22( 1) :23-31．
[16] 张捍卫，柴洪洲，王占统，等．地球自转和固体潮对地球重力场时变特征的影响[J]．大地测量与地球动力学，2002，22 ( 1) :76-80．
Zhang Hanwei，Chai Hongzhou，Wang Zhantong，et al． The influence of earth rotation and earth tide to the time varying characteristics of gravitational field [J]． Journal of Geodesy and Geodynamics，2002，22 ( 1) :76-80．
[17] 张捍卫，许厚泽，王爱生．固体潮对地球重力场时变特征影响的潮波公式[J]．测绘学报， 2004，33( 4) :299-302．
Zhang Hanwei，Xu Houze，Wang Aisheng． Tidal wave formulas of solid tide on the temporal changes of gravitational field [J]． Acta Geodaetica et Cartographica Sinica，2004，33( 4) : 299-302．
[18] 刘特洪．工程建设中的膨胀土问题[M]．北京: 中国建筑工业出版社，1997．
Liu Tehong． The Issue of Expansive Soil in Engineering Construction[M]． Beijing: China Building Industry Press，1997．
[19] 陈洪凯，鲜学福，唐红梅，等．危岩稳定性分析方法[J]．应用力学学报，2009， 26( 2) : 278-282．
Chen Hongkai，Xian Xuefu，Tang Hongmei， et al． Stability analyis method of perilous rock[J]． Chinese Journal of Applied Mechanics，2009，26( 2) : 278-282．
[20] DB50 /5029—2004 地质灾害防治工程设计规范[S]．重庆: 重庆市建设委员会，重庆市国土资源和房屋管理局，2004．
DB50 /5029—2004 Code for Design of Control Engineering in the Field of Geological Hazard [S]． Chongqing: Chongqing Construction Commission，Chongqing Administration of Land Ｒesources and Housing，2004．