A discussion on estimating dynamic mechanical parameters of rocks#br#
considering earthquake actions
CUI Zhen1,2,SHENG Qian1,2,CHEN Pingzhi3,4,LENG Xianlun1,2,ZHU Zeqi1,2,CHEN Liujie5
(1. State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China;2. University of Chinese Academy of Sciences,Beijing 100049,China,3. PowerChina Huadong Engineering Corporation limited,Hangzhou,Zhejiang 311122,China;4. HydroChina Itasca Research and Development Center,Hangzhou,Zhejiang 310014,China;5. School of Civil Engineering,Guangzhou University,Guangzhou,
Guangdong 510006,China)
Abstract:Dynamic mechanical parameters of rock mass under earthquake actions are the basis for accurate seismic stability analysis of rock engineering. In the present study,on the basis of exploring the reasonable strain rate of rock materials under earthquake actions,tests and empirical formulas were utilized to investigate the problem of determining the mechanical parameters for igneous rocks considering seismic effect. The results show that,for the relying projects,the corresponding representative strain rate is in the range of 10-2 to 5×10-2/s which is between the quasi-static rate and traditional “medium strain rate”. Fitting analysis of dynamic test results reveals that the intercept of the strength envelope changes with the strain ratio while the shape of the envelope keeps changeless. Consequently,empirical formulas for evaluating dynamic strength parameters were proposed using static parameters and the strain ratio,and a estimating method of rock dynamic modulus under seismic actions was presented based on Hoek & Diederichs equation. The Baihetan hydropower plant project was taken as a study case to illustrate the proposed approach.
[1] GREEN S,PERKINS R. Uniaxial compression tests at varying strain rates on three geologic materials[C]// Proceedings of the 10th Symposium on Rock Mechanics. [S. l.]:[s. n.],1968:35–54.
[2] BLANTON T L. Effect of strain rates from 10-2 to 10 sec-1 in triaxial compression tests on three rocks[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1981,18(1):47–62.
[3] LAJTAI E Z,DUNCAN E J S,CARTER B J. The effect of strain rate on rock strength[J]. Rock Mechanics and Rock Engineering,1991,24(2):99–109.
[4] CAI M,KAISER PK,SUORINENI F,et al. A study on the dynamic behavior of the Meuse/Haute-Marne argillite[J]. Physics and Chemistry of the Earth,2006,32(8/14):907–916.
[5] LIANG C Y,ZHANG Q B,LI X,et al. The effect of specimen shape and strain rate on uniaxial compressive behavior of rock material[J]. Bulletin of Engineering Geology and the Environment,2016,75(4):1 669–1 681.
[6] LIU E L,HUANG R Q,HE S M. Effects of frequency on the dynamic properties of intact rock samples subjected to cyclic loading under confining pressure conditions[J]. Rock Mechanics and Rock Engineering,2012,45(1):89–102.
[7] LI H B,ZHAO J,LI T J. Triaxial compression test on a granite at different strain rates and confining pressures[J]. International Journal of Rock Mechanics and Mining Sciences,1999,36(8):1 057– 1 063.
[8] LI H B,ZHAO J,LI T J. Micromechanical modelling of mechanical properties of granite under dynamic uniaxial compressive loads[J]. International Journal of Rock Mechanics and Mining Sciences,2000,37(6):923–935.
[9] ZHAO J,ZHOU Y X,HEFNY A M. Rock dynamics research related to cavern development for Ammunition storage[J]. Tunnelling and Underground Space Technology,1999,14(4):513–523.
[10] ZHOU Y X,XIA K,LI X B,et al. Suggested methods for determining the dynamic strength parameters and mode-I fracture toughness of rock materials[M]. [S. l.]:[s. n.],2011:2 007–2 014.
[11] LOGAN J M,HANDIN J. Triaxial compression testing at intermediate strain rates Triaxial compression testing at intermediate strain rates[C]// The 12th U.S. Symposium on Rock Mechanics(USRMS). Missouri:[s. n.],1970:70–167.
[12] ZHANG Q B,ZHAO J. A review of dynamic experimental techniques and mechanical behaviour of rock materials[J]. Rock Mechanics and Rock Engineering,2014,47(4):1 411–1 478.
[13] LI X B,LOK T S,ZHAO J. Dynamic characteristics of granite subjected to intermediate loading rate[J]. Rock Mechanics and Rock Engineering,2005,38(1):21–39.
[14] LABUZ J F,ZANG A. Mohr-Coulomb failure criterion[J]. Rock Mechanics and Rock Engineering,2012,45(6):975–979.
[15] EBERHARDT E. The Hoek-Brown failure criterion[J]. Rock Mechanics and Rock Engineering,2012,45(6):981–988.
[16] 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.
[17] International Society for Rock Mechanics. Suggested methods for determining the strength of rock materials in Triaxial compression:revised version[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1999,20(6):285–290.
[18] 中华人民共和国行业标准编写组. NB35047—— 2015水电工程水工建筑物抗震设计规范[S]. 北京:中国电力出版社,2015.(The Professional Standards Compilation Group of People?s Republic of China. NB35047——2015 Code for seismic design of hydraulic structure of hydropower project[S]. Beijing:China Electric Power Press,2015.(in Chinese))
[19] 中华人民共和国国家标准编写组. GB50011—— 2010建筑抗震设计规范-2016年版[S]. 北京:中国建筑工业出版社,2016.(The National Standards Compilation Group of People?s Republic of China. GB50011—— 2010 Code for Seismic Design of Buildings—— 2016 ed[S]. Beijing:China Building Industry Press,2016.(in Chinese))
[20] 中华人民共和国国家标准编写组. GB50909—— 2014城市轨道交通结构抗震设计规范[S]. 北京:中国计划出版社,2014.(The National Standards Compilation Group of People?s Republic of China. GB50909—— 2014 Code for seismic design of urban rail transit structures[S]. Beijing:China Planning Press,2014.(in Chinese))
[21] ZHAO J,LI H B,WU M B,et al. Dynamic uniaxial compression tests on a granite[J]. International Journal of Rock Mechanics and Mining Sciences,1999,36(2):273–280.
[22] 崔 臻,盛 谦. 近断层/远场地震动作用下控制性岩体结构对地下洞室地震稳定性影响研究[J]. 岩石力学与工程学报,2017,36(1):53–68.(CUI Zhen,SHENG Qian. Seismic response of underground rock cavern dominated by a large geological discontinuity subjected to near-fault and far-field ground motions[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(1):53–68.(in Chinese))
[23] 崔 臻,盛 谦,冷先伦,等. 地下洞室地震动力响应的岩体结构控制效应[J]. 岩土力学,2018,39(5):1 811–1 825.(CUI Zhen,SHENG Qian,LENG Xianlun,et al. Control effect of large geological discontinuity on seismic response and stability of underground rock caverns[J]. Rock and Soil Mechanics,2018,39(5):1 811–1 825.(in Chinese))