Hoek-Brown准则的脆性不等式及其对GSI取值的限制

doi:10.13722/j.cnki.jrme.2018.1163

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (286 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要 Hoek-Brown准则2018版指出，H-B准则仅适用于岩石脆性破裂，不适用于延性破坏，此论断对地质强度指数GSI的取值构成了物理上的限制，目前尚未得到充分讨论。针对该问题，从H-B准则的脆性破裂假设出发，基于岩石脆–延转换理论，通过推导和计算建立H-B准则的脆性不等式，给出应力强度比对GSI取值的限制条件，探讨不同岩性岩体的GSI取值与埋深的关系，指出不同类型岩体超过极限埋深后将进入延性破坏区，H-B准则也将随之失效。上述研究有助于H-B准则的合理使用，避免岩体参数估计出现较大的偏差。

	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
	朱勇1
	周辉1
	张传庆1
	吕涛2

关键词 ：岩石力学, Hoek-Brown准则, 脆性破裂, 脆–延转换, 地质强度指数, 应力–强度比

Abstract：In the 2018 version of Hoek-Brown criterion，it pointed out that H-B criterion is only applicable for brittle fracture of rocks rather than ductile failure，which constitutes a physical limitation not fully discussed yet on the value of geological strength index(GSI). A series of brittle inequalities of H-B criterion are then established based on the assumption of brittle fracture and the theory of brittle ductile transition. Constraints of stress-strength ratio on the GSI of different rock masses are given. The relationship between the GSI value and the buried depth is discussed. The H-B material will be invalid if the rock mass exceeds the ultimate depth to enter into the ductile failure range. The conclusions of the study are helpful for the rational use of H-B criterion to avoid unwanted deviations.

Key words： rock mechanics Hoek-Brown criterion brittle fracture brittle-ductile transition geological strength index stress-strength ratio

引用本文:

朱勇1，周辉1，张传庆1，吕涛2. Hoek-Brown准则的脆性不等式及其对GSI取值的限制[J]. 岩石力学与工程学报, 2019, 38(S2): 3412-3419.
ZHU Yong1，ZHOU Hui1，ZHANG Chuanqing1，LV Tao2. Brittle inequality of Hoek-Brown criterion and it?s applicability limit to GSI. , 2019, 38(S2): 3412-3419.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2018.1163 或 http://rockmech.whrsm.ac.cn/CN/Y2019/V38/IS2/3412

[5]	李斌，许梦国，刘艳章，等. 三轴条件下完整岩石Hoek-Brown强度准则的改进[J]. 采矿与安全工程学报，2015，32(6)：1 010–1 016. (LI Bin，XU Mengguo，LIU Yangzhang，et al. Modified Hoek-Brown strength criterion for intact rocks under the condition of triaxial stress test[J]. Journal of Mining and Safety Engineering，2015，32(6)：1 010–1 016.(in Chinese))
[2]	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))
[12]	MARINOS P，HOEK E. GSI-A geologically friendly tool for rock mass strength estimation[C]// ISRM international symposium. Melbourne：International Society for Rock Mechanics，2000，http：//www.geoplanning. it/test/wp-content/uploads/2012/02/GSI.pdf.
[22]	HOEK E，CARRANZA-TORRES C，CORKUM B. Hoek-Brown failure criterion-2002 edition[C]// Proceedings of NARMS-Tac. Toronto：University of Toronto Press，2002：267–273.
[1]	HOEK E，MARINOS D P. A brief history of the development of the Hoek-Brown failure criterion[J]. Soils and Rocks，2007：2(11)：1–13.
[9]	朱合华，黄伯麒，张琦，等. 基于广义Hoek-Brown准则的弹塑性本构模型及其数值实现[J]. 工程力学，2016，33(2)：41–49.(ZHU Hehua，HUANG Bolin，ZHANG Qi，et al. Elastoplastic rock constitutive model based on generalized Hoek-Brown strength criterion and its numerical implementation[J]. Engineering Mechanics，2016，33(2)：41–49.(in Chinese))
[10]	MARINOS V，CARTER T G. Maintaining geological reality in application of GSI for design of engineering structures in rock[J]. Engineering Geology，2018，239：282–297.
[20]	HOEK E. Strength of rock and rock masses[J]. ISRM News Journal，1994，2(2)：4–16.
[30]	MAURER W C. Shear failure of rock under compression[J]. Society of Petroleum Engineers Journal，1965，5(2)：167–176.
[27]	KARMAN T V. Festigkeitsversuche unter allseitigemDruck[J]. Zeits. Ver deutsch. Ingenieure，1915，55：1 749–1 757.
[7]	宋恒，曹平. 对Hoek-Brown强度准则的改进及工程应用[J]. 有色矿冶，2008，24(3)：7–10.(SONG Heng，CAO Ping. Improvement of Hoek-Brown strength criterion and engineering application[J]. Non-Ferrousmining and Metallurgy，2008，24(3)：7–10.(in Chinese))
[3]	HOEK E，BROWN E T. The Hoek-Brown failure criterion and GSI—2018 edition[J]. Journal of Rock Mechanics and Geotechnical Engineering，2019，11(3)：445–463.
[33]	BYERLEE J D. Brittle-ductile transition in rocks[J]. Journal of Geophysical Research，1968，73(14)：4 741–4 750.
[19]	PATERSON M S，WONG T. Experimental rock deformation-the brittle field[M]. 2nd ed. Berlin：Springer Science and Business Media，2005：248.
[16]	GRIGGS D，HANDIN J. Rock deformation[M]. New York：Geological Society of America，1960：79.
[29]	OROWAN E. Mechanism of seismic faulting[J]. Rock Deformation， 1960，79：323–345.
[4]	JIANG H，ZHAO J. A simple three-dimensional failure criterion for rocks based on the Hoek–Brown criterion[J]. International Journal of Geomechanics，2017，17(8)：1 807–1 819.
[6]	YANG Y，GAO F，LAI Y. Modified Hoek-Brown criterion for nonlinear strength of frozen soil[J]. Cold Regions Science and Technology，2013，86(98/103)：98–103.
[8]	夏开宗，陈从新，刘秀敏，等. 基于岩体波速的Hoek-Brown准则预测岩体力学参数方法及工程应用[J]. 岩石力学与工程学报，2013，32(7)：1 458–1 466.(XIA Kaizong，CHEN Congxin，LIU Xiumin，et al. Estimation of rock mass mechanical parameters based on ultrasonic velocity of rock mass and Hoek-Brown criterion and its application to engineering[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(7)：1 458–1 466.(in Chinese))
[11]	KAISER P K，KIM B，BEWICK R P，et al. Rock mass strength at depth and implications for pillar design[J]. Mining Technology，2014，120(3)：170–179.
[14]	HOEK E，BROWN E T. Empirical strength criterion for rock masses[J]. Journal of the Geotechnical Engineering Division，1980，106(15715)：1 013–1 035.
[21]	HOEK E，KAISER P，BAWDEN W. Support of underground excavations in hard rock[M]. Rotterdam：CRC Press，2000：102–105
[24]	HOEK E，BIENIAWSKI Z T. Brittle fracture propagation in rock under compression[J]. International Journal of Fracture Mechanics，1984，26(4)：276–294.
[26]	ZUO J P，LI H T，XIE H P，et al. A nonlinear strength criterion for rock-like materials based on fracture mechanics[J]. International Journal of Rock Mechanics and Mining Sciences，2008，45(4)：594–599.
[31]	MOGI K. Pressure dependence of rock strength and transition from brittle fracture to ductile flow[J]. Bulletin Earthquake Research Institute，1966，44：215–232.
[34]	CHRISTENSEN R M. Exploration of ductile，brittle failure characteristics through a two-parameter yield/failure criterion[J]. Materials Science and Engineering A，2005，394(1/2)：417–424.
[36]	杨永杰，宋扬，陈绍杰. 三轴压缩煤岩强度及变形特征的试验研究[J]. 煤炭学报，2006，31(2)：150–153.(YANG Yongjie，SONG Yang，CHEN Shaojie. Test study of coal’s strength and deformation characteristics under triaxial compression[J]. Journal of China Coal Society，2006，31(2)：150–153.(in Chinese))
[13]	MARINOS V，MARINOS P，HOEK E. The geological strength index：applications and limitations[J]. Bulletin of Engineering Geology and the Environment，2005，64(1)：55–65.
[15]	陈颙，黄庭芳，刘恩儒. 岩石物理学[M]. 合肥：中国科学技术大学出版社，2009：121–131.(CHEN Yong，WONG Tengfang，LIU Enru. Rock physics[M]. Hefei：University of Science and Technology of China Press，2009：121–131.(in Chinese))
[17]	HEARD H C. Transition from brittle fracture to ductile flow in Solenhofen limestone as a function of temperature，confining pressure，and interstitial fluid pressure[C]// Rock deformation. America：Memory of Geology Society. [S. l.]：[s.n.]，1960：193–226.
[18]	MANDL G. Faulting in brittle rocks：an introduction to the mechanics of tectonic faults[M]. New York：Springer Science and Business Media，1999：71–76.
[23]	HOEK E，DIEDERICHS M S. Empirical estimation of rock mass modulus[J]. International Journal of Rock Mechanics and Mining Sciences，2006，43(2)：203–215.
[25]	GRIFFITH A A. The phenomena of rupture and flow in solids[J]. Philosophical Transactions of the Royal Society of London，1921，221(2)：163–198.
[28]	DUBA A G，DURHAM W B，HANDIN J W，et al. The brittle-ductile transition in rocks：recent experimental and theoretical progress[C]// The Brittle-Ductile Transition in Rocks. America：American Geophysical Union，2013：1–20.
[32]	SCHWARTZ A E. Failure of rock in the triaxial shear test[C]// The 6th US Symposium on Rock Mechanics(USRMS). Missouri：American Rock Mechanics Association，1964：109–151.
[35]	HOEK E，WOOD D，SHAH S. A modified Hoek–Brown failure criterion for jointed rock masses[C]// Rock Characterization：ISRM Symposium. Chester，UK：Thomas Telford Publishing，1992：209–214.
[37]	王磊，李祖勇. 西部弱胶结泥岩的三轴压缩试验分析[J]. 长江科学院院报，2016，33(8)：86–90.(WANG Lei，LI Zuyong. Triaxial compression test analysis of weakly cemented mudstone in the west[J]. Journal of Yangtze River Scientific Research Institute，2016，33(8)：86–90.(in Chinese))
[38]	HOEK E，MARINOS P，BENISSI M. Applicability of the geological strength index(GSI) classification for very weak and sheared rock masses：the case of the Athens Schist Formation[J]. Bulletin of Engineering Geology and the Environment，1998，57(2)：151–160.