|
|
|
| Stability analysis of rock slopes based on MSDP criterion |
| ZHAO Minghua，LIU Jingyu，ZHAO Heng，HOU Jichao |
| (Institute of Geotechnical Engineering，Hunan University，Changsha，Hunan 410082，China) |
|
|
|
|
Abstract To investigate the effects of the tensile and compressive strengths of rock on the rock slope stability，a geometric relationship between the MSDP(Mises-Schleiche Drucker-Prager) strength envelope and the corresponding Mohr circle is established，and an expression of the MSDP criterion in the t-sn space is derived. Then，a theoretical calculation method of the safety factor for the plane sliding rock slope is proposed based on the limit equilibrium method，and the mechanical model and the corresponding analytical solution of the safety factor for the rock slope are verified by engineering practice. Finally，the effects of some factors(e.g. slope angle，internal friction angle，compressive strength，tensile strength，tensile crack depth，weight and inclination of sliding surface) on the safety factor are discussed. The results indicate that the slope safety factor evaluated based on the MSDP criterion is higher than that by the traditional M-C criterion，that the slope stability can be improved by considering the tensile and compressive strengths of rock and the effect of the compressive strength on the slope stability is more significant than that of the tensile strength，and that the slope safety factor has a good quadratic function relationship with the internal friction angle，the compressive strength，the depth of tensile cracks and the sliding surface dip angle，and a good linear relationship with the tensile strength and the weight.
|
|
|
|
|
|
[1] 朱大勇，卢坤林，台佳佳，等. 基于数值应力场的极限平衡法及其工程应用[J]. 岩石力学与工程学报，2009，28(10)：1 969–1 975. (ZHU Dayong，LU Kunlin，TAI Jiajia，et al. Limit equilibrium method based on numerical stress field and its application to engineering[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(10)： 1 969–1 975.(in Chinese))
[2] 徐卫亚，周家文，石 崇，等. 极限平衡分析中加固力对岩质边坡稳定性的影响[J]. 水利学报，2007，(9)：1 056–1 065.(XU Weiya，ZHOU Jiawen，SHI Chong，et al. Effect of strengthening force on rock slope stability in limit equilibrium analysis[J]. Journal of Hydraulic Engineering，2007，(9)：1 056–1 065.(in Chinese))
[3] 赵 维，王润清，年廷凯. 基于弯曲倾倒破坏模式的反倾岩质边坡稳定性解析方法[J]. 岩石力学与工程学报，2019，38(增2)：3 287–3 295.(ZHAO Wei，WANG Runqing，NIAN Tingkai. Analytical method for stability of anti dip rock slope based on flexural toppling failure mode[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(Supp.2)：3 287–3 295.(in Chinese))
[4] 张海娜，陈从新，郑 允，等. 坡顶荷载作用下岩质边坡弯曲倾倒破坏分析[J]. 岩土力学，2019，40(8)：2 938–2 946.(ZHANG Haina，CHEN Congxin，ZHENG Yun，et al. Analysis of flexural toppling failure of rock slopes subjected to the load applied on the top[J]. Rock and Soil Mechanics，2019，40(8)：2 938–2 946.(in Chinese))
[5] BELANDRIA N，ÚCAR R，CORREDOR A，et al. Safety factor on rock slopes with tensile cracks using numerical and limit equilibrium models[J]. Geotechnical and Geological Engineering，2021，39(3)： 2 287–2 300.
[6] SCHLOTFELDT P，ELMO D，PANTON B. Overhanging rock slope by design：an integrated approach using rock mass strength characterisation，large-scale numerical modelling and limit equilibrium methods[J]. Journal of Rock Mechanics and Geotechnical Engineering，2018，10(1)：72–90.
[7] CHENG Y M，LANSIVAARA T，WEI W B. Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods[J]. Computers and Geotechnics，2007，34(3)：137–150.
[8] ARDESTANI A，AMINI M，ESMAEILI K. A two-dimensional limit equilibrium computer code for analysis of complex toppling slope failures[J]. Journal of Rock Mechanics and Geotechnical Engineering，2021，13(1)：114–130.
[9] 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.
[10] 朱合华，张 琦，章连洋. Hoek-Brown强度准则研究进展与应用综述[J]. 岩石力学与工程学报，2013，32(10)：1 945–1 963.(ZHU Hehua，ZHANG Qi，ZHANG Lianyang. Review of research progresses and applications of Hoek-Brown strength criterion[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(10)：1 945–1 963.(in Chinese))
[11] 宋 琨，晏鄂川，毛 伟，等. 广义Hoek-Brown准则中强度折减系数的确定[J]. 岩石力学与工程学报，2012，31(1)：106–112.(SONG Kun，YAN Echuan，MAO Wei，et al. Determination of shear strength reduction factor for generalized Hoek-Brown criterion[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(1)：106–112.(in Chinese))
[12] 吴顺川，金爱兵，高永涛. 基于广义Hoek-Brown准则的边坡稳定性强度折减法数值分析[J]. 岩土工程学报，2006，28(11)：1 975–1 980.(WU Shunchuan，JIN Aibing，GAO Yongtao. Numerical simulation analysis on strength reduction for slope of jointed rock masses based on generalized Hoek-Brown failure criterion[J]. Chinese Journal of Geotechnical Engineering，2006，28(11)：1 975–1 980.(in Chinese))
[13] 孙超伟，柴军瑞，许增光，等. 基于Hoek-Brown强度折减法的边坡稳定性图表法研究[J]. 岩石力学与工程学报，2018，37(4)：838–851.(SUN Chaowei，CHAI Junrui，XU Zengguang，et al. Stability charts for rock slopes based on the method of reduction of Hoek-Brown strength[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(4)：838–851.(in Chinese))
[14] JIANG X Y，CUI P，LIU C.Z. A chart-based seismic stability analysis method for rock slopes using Hoek-Brown failure criterion[J]. Engineering Geology，2016：196–208.
[15] RENANI H R，MARTIN C D. Slope stability analysis using equivalent Mohr-Coulomb and Hoek-Brown criteria[J]. Rock Mechanics and Rock Engineering，2020，53(1)：13–21.
[16] YANG X L，LI L，YIN J H. Stability analysis of rock slopes with a modified Hoek-Brown failure criterion[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2004，28(2)：181–190.
[17] SAADA Z，MAGHOUS S，GARNIER D. Stability analysis of rock slopes subjected to seepage forces using the modified Hoek-Brown criterion[J]. International Journal of Rock Mechanics and Mining Sciences，2012，55：45–54.
[18] 翁敬良. 基于改进广义Hoek-Brown准则岩质边坡稳定性分析强度折减法[硕士学位论文][D]. 长沙：湖南大学，2010.(WENG Jingliang. Rock slopes stability analysis of strength reduction method based on modification generalized Hoek-Brown criterion[M. S. Thesis][D]. Changsha：Hunan University，2010.(in Chinese))
[19] XU J，PAN Q，YANG X L，et al. Stability charts for rock slopes subjected to water drawdown based on the modified nonlinear Hoek-Brown failure criterion[J]. International Journal of Geomechanics，2018，18(1)：04017133.
[20] FENG X T. Rock mechanics and engineering[M]. New York：CRC Press，2017：397–423.
[21] AUBERTIN M，LI L，SIMON R，et al. Formulation and application of a short-term strength criterion for isotropic rocks[J]. Canadian Geotechnical Journal，1999，36(5)：947–960.
[22] AUBERTIN M，LI L，SIMON R. A multiaxial stress criterion for short- and long-term strength of isotropic rock media[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(8)：1 169–1 193.
[23] ZHAO H，ZHOU S，ZHANG L. A phenomenological modelling of rocks based on the influence of damage initiation[J]. Environmental Earth Sciences，2019，78(5)：1–11.
[24] KUMAR P. Shear failure envelope of Hoek-Brown criterion for rockmass[J]. Tunnelling and Underground Space Technology，1998，13(4)：453–458.
[25] HOEK E，BRAY J. Rock slope engineering[M]. London：The Institution of Mining and Metallurgy，1981：105–141.
[26] 罗 伟，荣 耀，刘 安，等. 基于非线性Barton-Bandis准则的岩质边坡可靠度研究[J]. 公路交通科技，2020，37(4)：32–36.(LUO Wei，RONG Yao，LIU An，et al. Study on reliability of rock slope based on nonlinear Barton-Bandis criterion[J]. Journal of Highway and Transportation Research and Development，2020，37(4)：32–36.(in Chinese))
[27] 罗 强. 岩质边坡稳定性分析理论与锚固设计优化研究[硕士学位论文][D]. 长沙：中南大学，2010.(LUO Qiang. Stability study for rock slope and anchoring parametric analysis [M. S. Thesis][D]. Changsha：Central South University，2010.(in Chinese))
[28] 曾 晟. 平面破坏型岩质边坡稳定可靠度研究及其应用[硕士学位论文][D]. 衡阳：南华大学，2005.(ZENG Sheng. Research and application of stability reliability of plane failure rock slope[M. S. Thesis][D]. Hengyang：Nanhua University，2005.(in Chinese))
[29] 常士骠. 工程地质手册[M]. 5版. 北京：中国建筑工业出版社，2018：167–169.(CHANG Shibiao. Engineering geology manual[M]. 5th ed. Beijing：China Architecture and Building Press，2018：167–169.(in Chinese)) |
|
|
|
2022, Vol. 41 
