地震作用下隐伏顺层岩质边坡稳定性上限分析

doi:10.3724/1000-6915.jrme.2024.0729

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (2319 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Earthquakes play a critical role in the catastrophic destabilization of concealed bedding rock slopes (CBRSs). However, established methods for assessing the stability of these slopes under seismic conditions are lacking. This study proposes a method for determining the pseudo-static coefficient by analyzing extensive results from shaking table model tests of CBRSs, which accounts for the peak acceleration amplification effect with elevation. Based on the shattering-sliding failure mechanisms of CBRSs under seismic loading, a double-slip model along with its kinematically admissible velocity field is developed. Utilizing the upper bound theorem of limit analysis, a stability analysis method for CBRSs subjected to seismic conditions is presented. Additionally, a comparative analysis of slope stability is conducted through two case studies, further validating the proposed method. The findings indicate that under seismic action, these slopes are particularly vulnerable to catastrophic sliding failure, exhibiting nonlinear and segmented characteristics in both the peak acceleration amplification effect and the surface amplification effect. As the amplitudes of horizontal and vertical seismic waves increase, the stability coefficient of the CBRSs decreases linearly, accompanied by a slight reduction in the thickness of the potential sliding mass. Notably, the stability coefficient exhibits a more significant decrease when accounting for the dynamic elevation amplification effect of seismic acceleration. Furthermore, the stability coefficient of CBRSs decreases as a power function in relation to increasing slope angle and height, while the thickness of the potential sliding mass decreases with an increasing slope angle but increases with rising slope height and structural plane strength. A comparative analysis between the proposed method and two case studies from the literature reveals strong agreement in the calculated results, thereby validating the accuracy and reliability of the method. These findings provide valuable insights for the stability evaluation and treatment design of CBRSs under seismic conditions.

Key words： slope engineering rock slopes concealed bedding slopes pseudo-static method limit analysis upper bound theorem

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	SUN Chaoyi1
	LI Hongqiang2
	CHEN Congxin1
	ZHENG Yun1
	YUAN Jiahao1
	LIU Caihua1

Cite this article:

SUN Chaoyi1,LI Hongqiang2,CHEN Congxin1, et al. Upper bound analysis of stability of concealed bedding rock slopes under earthquake action[J]. , 2025, 44(8): 2101-2111.

URL:

https://rockmech.whrsm.ac.cn/EN/10.3724/1000-6915.jrme.2024.0729 OR https://rockmech.whrsm.ac.cn/EN/Y2025/V44/I8/2101

[1]	肖诗荣，刘德富，姜福兴，等. 三峡库区千将坪滑坡地质力学模型试验研究[J] . 岩石力学与工程学报，2010，29(5)：1 023-1 030. (XIAO Shirong，LIU Defu，JIANG Fuxing，et al. Geomechanical model experiment on Qianjiangping Landslide in Three Gorges Reservoie Area[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(5)：1 023-1 030.(in Chinese))
[2]	SUN C，CHEN C，ZHENG Y，et al. Numerical and theoretical study of bi-planar failure in footwall slopes[J]. Engineering Geology，2019，260：105234.
[3]	QIN H，TANG H，YIN X，et al. Disturbed zone calculation and stability evaluation method of footwall slope with slip-shear failure under excavation[J]. Journal of Central South University，2024，31(2)：589-601.
[4]	SUN C，CHEN C，ZHENG Y，et al. Analysis of stability of concealed cataclinal slopes with talus deposits accumulated at their toes with respect to biplanar failure[J]. International Journal of Geomechanics，2021，21(11)：04021219.
[5]	黄润秋. 20 世纪以来中国的大型滑坡及其发生机制[J]. 岩石力学与工程学报，2007，26(3)：433-454. (HUANG Runqiu. Large-scale landslides and their sliding mechanisms in China since the 20th century[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(6)：433-454.(in Chinese))
[6]	汪茜. 地震作用下顺层岩质边坡变形破坏机制研究[博士学位论文][D]. 长春：吉林大学，2010.(WANG Qian. Study on deformation characteristics and failure mechanism of bedding rock slope under earthquake[Ph. D. Thesis][D]. Changchun：Jilin University，2010.(in Chinese))
[7]	董金玉. 地震作用下岩质边坡的动力响应和滑动破坏过程研究[博士学位论文][D]. 北京：中国科学院地质与地球物理研究所，2010. (DONG Jinyu. Study on dynamic responses and sliding failure process of rock slope under earthquake[Ph. D. Thesis][D]. Beijing：Institute of Geology and Geophysics，Chinese Academy of Sciences，2010.(in Chinese))
[8]	黄润秋，李果，巨能攀. 层状岩体斜坡强震动力响应的振动台试验[J]. 岩石力学与工程学报，2013，32(5)：865-875.(HUANG Runqiu，LI Guo，JU Nengpan. Shaking table test on strong earthquake response of stratified rock slopes[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(5)：865-875.(in Chinese))
[9]	李果. 强震条件下层状岩体斜坡动力失稳机制研究[博士学位论文][D]. 成都：成都理工大学，2012.(LI Guo. Failure mechanism of stratiform rock slope under strong earthquake[Ph. D. Thesis][D]. Chengdu：Chengdu University of Technology，2012.(in Chinese))
[10]	黄润秋，裴向军，李天斌. 汶川地震触发大光包巨型滑坡基本特征及形成机制分析[J]. 工程地质学报，2008，16(6)：730-741. (HUANG Runqiu，PEI Xiangjun，LI Tianbin. Basic characteristics and format on mechanism of the largest scale landslide at Dagungbao occurred during the Wenchuan earthquake[J]. Journal of Engineering Geology，2008，16(6)：730-741.(in Chinese))
[11]	殷跃平，王猛，李滨，等. 汶川地震大光包滑坡动力响应特征研究[J]. 岩石力学与工程学报，2012，31(10)：1 969-1 982.(YIN Yueping，WANG Meng，LI Bin，et al. Dynamic response characteristics of Daguangbao Landslide triggered by Wenchuan Earthquake[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(10)：1 969-1 982.(in Chinese))
[12]	黄润秋，裴向军，崔圣华. 大光包滑坡滑带岩体碎裂特征及其形成机制研究[J]. 岩石力学与工程学报，2016，35(1)：1-15.(HUANG Runqiu，PEI Xiangjun，CUI Shenghua. Cataclastic characteristics and formation mechanism of rock mass in sliding zone of Daguangbao landslide[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(1)：1-15.(in Chinese))
[13]	杨宗佶. “4•20”芦山Ms7.0级地震次生山地灾害特征[J]. 四川大学学报：工程科学版，2013，45(4)：76-83.(YANG Zongji. Features of secondary mountain hazards triggered by the“4•20”Lushan earthquake[J]. Journal of Sichuan University：Engineering Science，2013，45(4)：76-83.(in Chinese))
[14]	戴岚欣，许强，范宣梅，等. 2017年8月8日四川九寨沟地震诱发地质灾害空间分布规律及易发性评价初步研究[J]. 工程地质学报，2017，25(4)：1 151-1 164.(DAI Lanxin，XU Qiang，FAN Xuanmei，et al. A preliminary study spatial distribution patterns of landslides triggered by Jiuzhaigou earthquake in Sichuan on August 8th，2017 and their susceptibility assessment[J]. Journal of Engineering Geology，2017，25(4)：1 151-1 164.(in Chinese))
[15]	吴多华，刘亚群，李海波，等. 地震荷载作用下顺层岩体边坡动力放大效应和破坏机制的振动台试验研究[J]. 岩石力学与工程学报，2020，39(10)：1 945-1 956.(WU Duohua，LIU Yaqun，LI Haibo，et al. Shaking table tests on dynamic amplification and failure mechanism of layered rock slopes under seismic actions[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(10)：1 945- 1 956.(in Chinese))
[16]	董金玉，杨继红，伍法权，等. 顺层岩质边坡加速度响应规律和滑动堵江机制大型振动台试验研究[J]. 岩石力学与工程学报，2013，32(增2)：3 861-3 867.(DONG Jinyu，YANG Jihong，WU Faquan，et al. Large-scale shaking table test research on acceleration response rules of bedding layered rock slope and its blocking mechanism of river[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(Supp.2)：3 861-3 867.(in Chinese))
[17]	ZANG M，YANG G，DONG J，et al. Experimental study on seismic response and progressive failure characteristics of bedding rock slopes[J]. Journal of Rock Mechanics and Geotechnical Engineering，2022，14(5)：1 394-1 405.
[18]	DONG J，WANG C，HUANG Z，et al. Shaking table model test to determine dynamic response characteristics and failure modes of steep bedding rock slope[J]. Rock Mechanics and Rock Engineering，2022，55(6)：3 645-3 658.
[19]	李龙起，何川，王滔，等. 陡倾软硬互层顺向坡强震裂隙发育特征及边际谱熵值响应规律[J]. 岩土力学，2020，41(10)：3 456- 3 464.(LI Longqi，HE Chuan，WANG Tao，et al. Study on fracture development characteristics and marginal spectral entropy response of steep bedding soft and hard interbedded slope under earthquake[J]. Rock and Soil Mechanics，2020，41(10)：3 456-3 464.(in Chinese))
[20]	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(增1)：3 193-3 198.(LIU Caihua，CHEN Congxin. Analysis of toppling failure of rock slopes due to earthquakes[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(Supp.1)：3 193-3 198.(in Chinese))
[21]	王梦晨. 地震边坡稳定性分析拟静力法地震系数研究[硕士学位论文][D]. 西安：长安大学，2023.(WANG Mengchen. Seismic coefficient of slope stability analysis by pseudo-static method[M. S. Thesis][D]. Xi?an：Chang?an University，2023.(in Chinese))
[22]	中华人民共和国国家标准编写组. GB 50111—2006铁路工程抗震设计规范[S]. 北京：中国计划出版社，2009.(The National Standards Compilation Group of People?s Republic of China. GB 50111—2006 Code for seismic design of railway engineering[S]. Beijing：China planning Press，2009.(in Chinese))
[23]	中华人民共和国行业标准编写组. JTG B02—2013公路工程抗震规范[S]. 北京：人民交通出版社，2013.(The Professional Standards Compilation Group of People?s Republic of China. JTG B02—2013 Specification of seismic design of highway engineering[S]. Beijing：China Communications Press，2013.(in Chinese))
[24]	中华人民共和国国家标准编写组. GB 51247—2018水工建筑物抗震设计标准[S]. 北京：中国计划出版社，2018.(The National Standards Compilation Group of People?s Republic of China. GB 51247—2018 Standard for seismic design of hydraulic structures[S]. Beijing：China planning Press，2018.(in Chinese))
[25]	LI D，JIA W，ZHAO L，et al. Upper-bound limit analysis of rock slope stability with tensile strength cutoff based on the optimization strategy of dividing the tension zone and shear zone[J]. International Journal of Geomechanics，2022，22(5)：06022006.
[26]	袁家好，鲁祖德，陈从新，等. 含双软弱夹层岩质边坡稳定性上限解[J]. 岩石力学与工程学报，2024，43(2)：412-423.(YUAN Jiahao，LU Zude，CHEN Congxin，et al. Stability analysis of rock slopes with double weak interlayers based on upper bound limit analysis[J]. Chinese Journal of Rock Mechanics and Engineering，2024，43(2)：412-423.(in Chinese))
[27]	赵炼恒，罗强，李亮，等. 层状岩体边坡动态稳定性拟静力上限分析[J]. 岩土力学，2010，31(11)：3 627-3 634.(ZHAO Lianheng，LUO Qiang，LI Liang，et al. Upper bound quasi-static analysis of dynamic stability of layered rock slopes[J]. Rock and Soil Mechanics，2010，31(11)：3 627-3 634.(in Chinese))
[28]	王根龙，伍法权，祁生文，等. 加锚岩质边坡稳定性评价的极限分析上限法研究[J]. 岩石力学与工程学报，2007，26(12)：2 556- 2 563.(WANG Genlong，WU Faquan，QI Shengwen，et al. Research on the limit analysis upper bound method for the stability evaluation of rock slopes with anchors[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(12)：2 556-2 563.(in Chinese))
[29]	杨国香. 地震条件下岩质边坡动力破坏及动力响应规律研究[博士学位论文][D]. 北京：中国科学院地质与地球物理研究所，2011. (YANG Guoxiang. Study on failure mechanism and dynamic response rules of rock slope under earthquake[Ph. D. Thesis][D]. Beijing：Institute of Geology and Geophysics，Chinese Academy of Sciences，2011.(in Chinese))
[30]	张陈羊. 陡倾顺层斜坡动力响应及失稳机制的离心振动台模型试验研究[硕士学位论文][D]. 成都：成都理工大学，2017.(ZHANG Chenyang. Experimental study on dynamic response and instability mechanism of steep dip bedding slope by centrifuge shaking table model test[M. S. Thesis][D]. Chengdu：Chengdu University of Technology，2017.(in Chinese))
[31]	SUN C，CHEN C，ZHENG Y，et al. Assessing the stability of dip slopes based on analyzing the stress at a key point on the sliding surface[J]. International Journal of Geomechanics，2022，22(9)：04022152.
[32]	FISHER B. R. Improved characterization and analysis of bi-planar dip slope failures to limit model and parameter uncertainty in the determination of setback distances[Ph. D. Thesis][D]. Vancouver：Faculty of Graduate Studies，University of British Columbia，2009.
[33]	中华人民共和国国家标准编写组. GB 18306—2015中国地震动参数区划图[S]. 北京：中国标准出版社，2015.(The National Standards Compilation Group of People?s Republic of China. GB 18306—2015 Seismic ground motion parameters zonation map of China[S]. Beijing：Standard Press of China，2015.(in Chinese))
[34]	黄润秋. 汶川8.0级地震触发崩滑灾害机制及其地质力学模式[J].岩石力学与工程学报，2009，28(6)：1 239-1 249.(HUANG Runqiu. Mechanism and geomechanical modes of landslide hazards triggered by Wenchuan 8.0 earthquake[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(6)：1 239-1 249.(in Chinese))
[35]	黄润秋，李为乐. 汶川地震触发崩塌滑坡数量及其密度特征分析[J]. 地质灾害与环境保护，2009，20(3)：1-7.(HUANG Runqiu，LI Weile. Analysis on the number and density of landslides triggered by the 2008 Wenchuan earthquake，China[J]. Journal of Geological Hazards and Environment Preservation，2009，20(3)：1-7.(in Chinese))
[36]	黄润秋，李为乐.“5•12”汶川大地震触发地质灾害的发育分布规律研究[J]. 岩石力学与工程学报，2008，27(12)：2 585-2 592. (HUANG Runqiu，LI Weile. Research on development and distribution rules of geohazards induced by Wenchuan earthquake on 12th May，2008[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(12)：2 585-2 592.(in Chinese))