节理岩质边坡稳定性分析改进Sarma法

doi:10.13722/j.cnki.jrme.2023.0088

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (2074 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要在节理岩质边坡稳定性分析中，传统Sarma法仍存在如下几个方面的不足：(1) 未合理明确节理块体间剪切力方向；(2) 未有效处理节理块体间及其滑动底面被拉裂；(3) 未可靠保证节理块体滑动底面剪切力方向与边坡整体滑动趋势相符。因而，传统Sarma法的分析模式不能完全满足受力合理性原则。为此，在传统Sarma法的基础上，进行以下改进：(1) 构建相对运动趋势下节理块体间剪切力方向判别关系式；(2) 引入拉伸截断技术，可靠估计线性Mohr-Coulomb强度准则下岩体节理面抗拉强度；(3) 容许节理块体间被拉裂，建立节理块体间拉裂计算机制；(4) 提出增大块间安全系数以及节理块体两侧裂缝式退化处理方式，合理解决节理块体滑动底面被拉裂问题；(5) 虚设反向滑动块体间裂缝，有效应对顺滑节理块体滑动底面剪切力反向情况。进而，提出节理岩质边坡稳定性分析改进Sarma法。通过后续算例对比分析，本文方法的可靠性与有效性得到验证。此后，进一步详细探讨改进方法中相关新参数对节理岩质边坡稳定性的影响。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	邓东平
	彭一航
	王翊民

关键词 ：边坡工程, 节理岩质边坡, 改进Sarma法, 节理块体间剪切力方向, 拉伸截断, 节理块体间拉裂, 块间安全系数

Abstract：In the stability analysis of jointed rock slopes，the traditional Sarma method still has the following deficiencies：(1) The direction of the shear force between joint blocks is unreasonably defined. (2) The tensile cracking between joint blocks and their bottom surfaces(i.e.，the slip surface) is ineffectively treated. (3) The requirement that the direction of the shear force on the sliding bottom surface of joint block is consistent with the overall sliding trend of the slope can not be reliably guaranteed. Therefore，the analysis model of the traditional Sarma method cannot fully satisfy the principle of rationality for force analysis. Hence，the following improvements are made on the basis of the traditional Sarma method as：(1) The relation-equation for determining the direction of the shear force between joint blocks under the trend of relative motion is constructed. (2) The technique of tensile strength cut-off is introduced to reliably estimate the tensile strength of rock joints under the linear Mohr-Coulomb strength criterion. (3) The calculation mechanism is established for allowing the tensile cracking between joint blocks. (4) The treatment approach of increasing factor of safety between joint blocks and degrading with the use of cracks on both sides of joint blocks are proposed to reasonably solve the problem of the bottom surface of joint blocks being cracked. (5) The virtual crack at the side of the reverse sliding blocks is set to effectively deal with the case of the reverse of shear force on the bottom surface of slumping joint block. Thereby，the improved Sarma method for stability analysis of jointed rock slope is proposed. Through the comparison and analysis on some existing examples，the reliability and effectiveness of the present method are verified. Thereafter，the influence of relevant new parameters in the Improved Sarma method on the stability of jointed rock slope is further discussed in detail.

Key words： slope engineering jointed rock slopes improved Sarma method direction of shear force between joint blocks tensile strength cut-off tensile cracking between joint blocks factor of safety between joint blocks

引用本文:

邓东平，彭一航，王翊民 . 节理岩质边坡稳定性分析改进Sarma法[J]. 岩石力学与工程学报, 2023, 42(12): 2957-2981.
DENG Dongping，PENG Yihang，WANG Yimin. Improved Sarma method for stability analysis of jointed rock slopes. , 2023, 42(12): 2957-2981.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2023.0088 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I12/2957

[5]	FELLENIUS W. Calculation of stability of earth dams[C]// Proceedings of the Second Congr Large Dams 4. [S. l.]：[s. n.]，1936：445-463.
[6]	BISHOP A W. The use of slip circle in the stability analysis of slopes[J]. Geotechnique，1955，5(1)：7-17.
[26]	HOEK E. Analytical and computational methods in engineering rock mechanics[M]. London: Allen and Unwin Ltd，1987：95-128.
[36]	Itasca Consulting Group. FLAC3D 6.0 theory and background[M]. Minnesota：Itasca Consulting Group Inc.，2017：87-151.
[2]	STEAD D，WOLTER A. A critical review of rock slope failure mechanisms：the importance of structural geology[J]. Journal of Structural Geology，2015，74：1-23.
[32]	LAN H，CHEN J，MACCIOTTA R. Universal confined tensile strength of intact rock[J]. Scientific Reports，2019，9(1)：1-9.
[23]	CHEN Z Y. Landslides and engineered slopes: from the past to the future[M]. London：CRC Press，2008：645-652.
[8]	MORGENSTERN N R，PRICE V E. The analysis of stability of general slip surface[J]. Geotechnique，1965，15(1)：79-93.
[18]	杨建民，杨晟萱. 边坡稳定性分析Sarma法的有效应力形式[C]// 2020年工业建筑学术交流会论文集(下册). [S. l.]：[s. n.]，2020： 1 398-1 403.(YANG Jianmin，YANG Shengxuan. Effective Stress Forom for slope stability analysis based on sarma method[C]// 2020 Industrial Architecture Academic Exchange Conference(Volume 3). [S. l.]：[s. n.]，2020：1 398-1 403.(in Chinese))
[28]	YUAN S，ZHU Q，ZHANG W，et al. A micromechanical anisotropic damage model for brittle rocks with non-associated plastic flow rule under true triaxial compressive stresses[J]. Frontiers in Physics，2021，9(12)：808375.
[1]	DENG D. Limit equilibrium solution for the rock slope stability under the coupling effect of the shear dilatancy and strain softening[J]. International Journal of Rock Mechanics and Mining Sciences，2020，134：104421.
[11]	苏永华，赵明华，邹志鹏，等.边坡稳定性分析的Sarma模式及其可靠度计算方法[J]. 水利学报，2006，(4)：457-463.(SU Yonghua，ZHAO Minghua，ZOU Zhipeng，et al. Sarma model for slope stability analysis and its reliability degree calculation method[J]. Journal of Hydraulic Engineering，2006，(4)：457-463.(in Chinese))
[21]	YANG M. General slice method based on rigorous equilibrium to solve the factor of safety[J]. Advanced Materials Research，2012，446(1)：446-449.
[3]	GUO J，WANG J. Mechanism analysis of the failure for a safe jointed rock high slope：tectonic structures and damage[J]. Geotechnical and Geological Engineering，2018，36(1)：455-467.
[7]	JANBU N. Earth pressure and bearing capacity by generalized procedure of slices[C]// Proceedings of the 4th International Conference of Soil Mechanics. [S. l.]：[s. n.]，1957：207-212.
[13]	邓东平，李亮. 边坡稳定性分析的斜条分法[J]. 中南大学学报：自然科学版，2013，44(8)：3 351-3 362.(DENG Dongping，LI Liang. Oblique slice method of slope stability analysis[J]. Journal of Central South University：Science and Technology，2013，44(8)：3 351-3 362. (in Chinese))
[15]	LI R，XU Q，ZHENG W，et al. The stability analyses of unsaturated slope based on the sarma method[J]. Advanced Materials Research，2011，393(11)：393-395.
[33]	BAFGHI A R Y，VERDEL T. Sarma-based key-group method for rock slope reliability analyses[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2005，29(10)：1 019-1 043.
[10]	SARMA S K. Stability analysis of embankments and slopes[J]. Journal of the Geotechnical Engineering Division，1979，105(12)：1 511-1 524.
[20]	杨明成. 基于力平衡求解安全系数的一般条分法[J]. 岩石力学与工程学报，2005，24(7)：1 216-1 221.(YANG Mingcheng. A general slice method for determination of factors of safety based on force equilibrium[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(7)：1 216-1 221.(in Chinese))
[30]	SHANG J，HENCHER S R，WEST L J. Tensile strength of geological discontinuities including incipient bedding，rock joints and mineral veins[J]. Rock Mechanics and Rock Engineering，2016，49(11)：4 213-4 225.
[31]	DENG D，CHEN H，WEN S，et al. A novel global stress method for the limit-equilibrium analysis of slope stability considering stress constraint conditions at ends[J]. International Journal of Geomechanics，2022，22(11)：04022192.
[38]	ZHANG Z，ZHAO Q，XU C，et al. Interaction analyses between tunnel and landslide in mountain area[J]. Journal of Mountain Science，2017，14(6)：1 124-1 139.
[40]	JIANG S，HUANG J，ZHOU C. Efficient system reliability analysis of rock slopes based on Subset simulation[J]. Computers and Geotechnics，2017，82(2)：31-42.
[4]	AZARAFZA M，AKGUN H，GHAZIFARD A，et al. Discontinuous rock slope stability analysis by limit equilibrium approaches-a review[J]. International Journal of Digital Earth，2021，14(12)：1 918-1 941.
[9]	SPENCER E E. A method of the analysis of the stability of embankments assuming parallel inter-slice forces[J]. Geotechnique，1967，17(1)：11-26.
[12]	朱大勇，李焯芬，黄茂松，等. 对3种著名边坡稳定性计算方法的改进[J]. 岩石力学与工程学报，2005，24(2)：183-194.(ZHU Dayong，LEE C F，HUANG Maosong，et al. Modifications to three well-known methods of slope stability analysis[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(2)：183-194.(in Chinese))
[14]	李建明，张延军，黄贤龙，等. Sarma法在不同方位地震力下的计算研究[J]. 工程地质学报，2011，19(5)：725-731.(LI Jianming，ZHANG Yanjun，HUANG Xianlong，et al. Revised of sarma method for different directions of seismic force[J]. Journal of Engineering Geology，2011，19(5)：725-731.(in Chinese))
[39]	HOEK E. Strength of jointed rock masses[J]. Geotechnique，1983，33(3)：187-223.
[16]	ZHOU X，ZHAO X，WONG L，et al. A modified Sarma method for stability analysis of layered slopes[J]. Bulletin of Engineering Geology and the Environment，2019，78(3)：1 893-1 909.
[17]	林志平. 条间力分布对Sarma法条间强度参数及安全系数影响分析[J]. 安全与环境学报，2020，20(3)：900-905.(LIN Zhiping. Influence of the inter-slice force distribution on the strength parameters and safety factors of Sarma?s method[J]. Journal of Safety and Environment，2020，20(3)：900-905.(in Chinese))
[19]	ZHANG S，CHOWDHURY R N. Interslice shear forces in slope stability analyses-a new approach[J]. Soils and Foundations，1995，35(1)：65-74.
[22]	方玉树. 边坡稳定性分析条分法条间力合理性研究[J]. 中国地质灾害与防治学报，2008，19(2)：80-86.(FANG Yushu. Rationality of inter-slice forces of slices method for slope stability analysis[J]. The Chinese Journal of Geological Hazard and Control，2008，19(2)：80-86.(in Chinese))
[24]	SUN J，NING Y，ZHAO Z. Comparative study of Sarma's method and the discontinuous deformation analysis for rock slope stability analysis[J]. Geomechanics and Geoengineering，2011，6(4)：293-302.
[25]	HE L，TIAN Q，ZHAO Z，et al. Rock slope stability and stabilization analysis using the coupled DDA and FEM method：NDDA approach[J]. International Journal of Geomechanics，2018，18(6)：04018044.
[27]	陈祖煜，汪小刚，杨健，等. 岩质边坡稳定性分析——原理、方法、程序[M]. 北京：中国水利水电出版社，2005：410-427.(CHEN Zuyu，WANG Xiaogang，YANG Jian，et al. Rock slope stability analysis—theory，methods，and programs[M]. Beijing：China Water Power Press，2005：410-427.(in Chinese))
[29]	孔位学，芮勇勤，董宝弟. 岩土材料在非关联流动法则下剪胀角选取探讨[J]. 岩土力学，2009，30(11)：3 278-3 282.(KONG Weixue，RUI Yongqin，DONG Baodi. Determination of dilatancy angle for geomaterials under non-associated flow rule[J]. Rock and Soil Mechanics，2009，30(11)：3 278-3 282.(in Chinese))
[34]	ZHAO Y，TONG Z，LÜ Q. Slope stability analysis using slice-wise factor of safety[J]. Mathematical Problems in Engineering，2014，2014(6)：712145.
[35]	周志军，牛涌，张铁柱. 基于改进Sarma法的岩质边坡稳定性分析[J]. 交通运输工程学报，2013，13(1)：15-19.(ZHOU Zhijun，NIU Yong，ZHANG Tiezhu. Stability analysis of rock slope based on improved Sarma method[J]. Journal of Traffic and Transportation Engineering，2013，13(1)：15-19.(in Chinese))
[37]	符贵军，任伟中，陈浩，等. Sarma法的改进及在边坡稳定性研究中的应用[J]. 兰州理工大学学报，2017，43(6)：113-119.(FU Guijun，REN Weizhong，CHEN Hao，et al. Improcement of Sarma method and its application in investigation of slope stability[J]. Journal of Lanzhou University of Technology，2017，43(6)：113-119. (in Chinese))