Study on crack propagation of heterogeneous rocks with double flaws based on grain based model
LI Bo1,ZHU Qiang1,ZHANG Fengshou2,ZHAO Cheng2,WU Faquan1
(1. School of Civil Engineering,Shaoxing University,Shaoxing,Zhejiang 312000,China;2. School of Civil Engineering,Tongji University,Shanghai 200092,China)
摘要为研究细观结构非均质性对裂隙岩石宏观力学及裂纹扩展规律的影响,基于花岗岩室内力学试验及矿物组成分析利用PFC离散元数值软件建立针对2种不同类型花岗岩的矿物晶体模型(grain based model,GBM),结合单裂纹岩石单轴压缩室内试验与数值模拟结果验证GBM的合理性与可靠性。对双裂隙岩石试样进行单轴和双轴压缩数值试验,分析研究应力–应变曲线、试样破坏模式及微裂纹的发展与演化规律。结果表明:岩石试样加载过程中的新生裂纹以晶内和晶间的拉伸裂纹为主,裂纹的发展可分为初始阶段、稳定发展阶段、快速发展阶段和峰后阶段;在10 MPa条件下的双轴压缩中裂纹扩展的形态与单轴压缩相比具有中心对称和边缘延展2个明显的特性;峰值应力下各类型破坏裂纹数量随双轴试验围压增加呈现不同程度的增长趋势。从应变–裂纹数量角度分析,除晶间剪切裂纹外,围压对其他类型裂纹的前期发展存在不同程度的抑制作用;非均质性系数大的双裂隙岩石加载过程中更易出现应力集中且双轴压缩时破坏形式更易从拉伸破坏向剪切破坏转换。
Abstract:To study the influence of meso-structural heterogeneity on macroscopic mechanical properties and crack propagation behaviors of fractured rocks,based on laboratory test and mineral composition analysis,the grain based models(GBM) of two types of granites were established using a discrete element numerical code PFC. The reliability and precision of the established GBM were verified against unconfined compression testing results of single flaw rock samples. Unconfined and biaxial compression numerical tests were carried out on double-flaw rock samples,and the stress-strain curve,the failure mode,and the development and evolution of microcracks were analyzed. The results show that intra-grain and inter-grain tensile cracks are primarily cracks and that the development of the cracks can be divided into initial stage,stably developing stage,rapidly developing stage and post peak stage during an entirely loading process. Compared with the unconfined compression,the morphology of crack growth under 10 MPa biaxial compression has two obvious characteristics such as center symmetry and edge extension. At the peak stress,the number of various types of cracks increases with increasing the confining pressure. In contrast,from the perspective of strain-crack number, the confining pressure has different degrees of inhibition effects on the early development of cracks except for inter-grain shear cracks. A rock with a greater heterogeneity coefficient is more prone to stress concentration in the loading process,and the failure mode can more easily transform from tensile failure to shear failure under biaxial compressions.
李 博1,朱 强1,张丰收2,赵 程2,伍法权1. 基于矿物晶体模型的非均质性岩石双裂纹扩展规律研究[J]. 岩石力学与工程学报, 2021, 40(6): 1119-1131.
LI Bo1,ZHU Qiang1,ZHANG Fengshou2,ZHAO Cheng2,WU Faquan1. Study on crack propagation of heterogeneous rocks with double flaws based on grain based model. , 2021, 40(6): 1119-1131.
[1] 赵阳升,孟巧荣,康天合,等. 显微CT试验技术与花岗岩热破裂特征的细观研究[J]. 岩石力学与工程学报,2008,27(1):28–34. (ZHAO Yangsheng,MENG Qiaorong,KANG Tianhe,et al. Micro-CT experimental technology and meso-investigation on thermal fracturing characteristics of granite[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(1):28–34.(in Chinese))
[2] MARTIN C D,STIMPSON B. The effect of sample disturbance on laboratory properties of Lac du Bonnet granite[J]. Canadian Geotechnical Journal,1994,31(5):692–702.
[3] 徐小丽. 温度载荷作用下花岗岩力学性质演化及其微观机制研究[博士学位论文][D]. 徐州:中国矿业大学,2008.(XU Xiaoli. Research on the mechanical characteristics[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2008.(in Chinese))
[4] ZHAO Y,LIU S,ZHAO G F,et al. Failure mechanisms in coal:Dependence on strain rate and microstructure[J]. Journal of Geophysical Research:Solid Earth,2014,119(9):6 924–6 935.
[5] 刘黎旺,李海波,李晓锋,等. 基于矿物晶体模型非均质岩石单轴压缩力学特性研究[J]. 岩土工程学报,2020,42(3):542–550.(LIU Liwang,LI Haibo,LI Xiaofeng,et al. Research on the uniaxial compression mechanical properties of heterogeneous rocks based on grain based model[J]. Chinese Journal of Geotechnical Engineering,2020,42(3):542–550.(in Chinese))
[6] COWIE S,WALTON G. The effect of mineralogical parameters on the mechanical properties of granitic rocks[J]. Engineering Geology,2018,240:204–225.
[7] GÜNES YILMAZ N,METE GOKTAN R,KIBICI Y. Relations between some quantitative petrographic characteristics and mechanical strength properties of granitic building stones[J]. International Journal of Rock Mechanics and Mining Sciences,2011,48(3):506–513.
[8] LI X F,LI X,LI H B,et al. Dynamic tensile behaviours of heterogeneous rocks:The grain scale fracturing characteristics on strength and fragmentation[J]. International Journal of Impact Engineering,2018,118:98–118.
[9] SAJID M,COGGAN J,ARIF M,et al. Petrographic features as an effective indicator for the variation in strength of granites[J]. Engineering Geology,2016,202:44–54.
[10] TANDON R S,GUPTA V. The control of mineral constituents and textural characteristics on the petrophysical and mechanical properties of different rocks of the Himalaya[J]. Engineering Geology,2013,153:125–143.
[11] HALLBAUER D K,WAGNER H,COOK N G W. Some observations concerning the microscopic and mechanical behaviour of quartzite specimens in stiff,triaxial compression tests[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1973,10(6):713–726.
[12] 张学民. 岩石材料各向异性特征及其对隧道围岩稳定性影响研究[博士学位论文][D]. 长沙:中南大学,2007.(ZHANG Xuemin. Anisotropic Characteristic of rock material and its effect on stability of tunnel surrounding rock[Ph. D. Thesis][D]. Changsha:Central South University,2007.(in Chinese))
[13] POTYONDY D O,CUNDALL P A. A bonded-particle model for rock[J]. International Journal of Rock Mechanics and Mining Sciences,2004,41(8):1 329–1 364.
[14] 周 健,史旦达,贾敏才,等. 砂土单调剪切力学性状的颗粒流模拟[J]. 同济大学学报:自然科学版,2007,35(10):1 299–1 304. (ZHOU Jian,SHI Danda,JIA Mincai,et al. Numerical Simulation of Mechanical Response on sand under monotonic loading by particle flow code[J]. Journal of Tongji University:Natural Science,2007,35(10):1 299–1 304.(in Chinese))
[15] IRFAN T Y. Mineralogy,fabric properties and classification of weathered granites in Hong Kong[J]. Quarterly Journal of Engineering Geology and Hydrogeology,1996,29(1):5–35.
[16] EBERHARDT E,STIMPSON B,STEAD D. Effects of grain size on the initiation and propagation thresholds of stress-induced brittle fractures[J]. Rock Mechanics and Rock Engineering,1999,32(2):81–99.
[17] FUJII Y,TAKEMURA T,TAKAHASHI M,et al. Surface features of uniaxial tensile fractures and their relation to rock anisotropy in Inada granite[J]. International Journal of Rock Mechanics and Mining Sciences,2007,44(1):98–107.
[18] 周 喻,高永涛,吴顺川,等. 等效晶质模型及岩石力学特征细观研究[J]. 岩石力学与工程学报,2015,34(3):511–519.(ZHOU Yu,GAO Yongtao,WU Shunchuan,et al. An equivalent crystal model for mesoscopic behaviour of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(3):511–519.(in Chinese))
[19] 胡训健,卞 康,刘 建,等. 细观结构的非均质性对花岗岩蠕变特性影响的离散元模拟研究[J]. 岩石力学与工程学报,2019,38(10):2 069–2 083.(HU Xunjian,BIAN Kang,LIU Jian,et al. Discrete element simulation study on the influence of microstructure heterogeneity on the creep characteristics of granite[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(10):2 069–2 083.(in Chinese))
[20] 许钟元. 热–力耦合作用下硬岩微观各向异性脆性破裂机制研究[硕士学位论文][D]. 成都:成都理工大学,2014.(XU Zhongyuan. Effect of heterogeneity brittle rock on fracture mechanism under thermal- mechanical coupling effect[M. S. Thesis][D]. Chengdu:Chengdu University of Technology,2014.(in Chinese))
[21] 桑隆康,马昌前. 岩石学[M]. 北京:地质出版社,2011:1–620.(SANG Longkang,MA Changqian. Petrology[M]. Beijing:Geological Publishing House,2011:1–620.(in Chinese))
[22] POTYONDY D O. A grain-based model for rock:Approaching the true microstructure[C]// Proceedings of the Rock Mechanics in the Nordic Countries. Kongsberg,Norway:Norwegian Group for Rock Mechanics,2010:225–234.
[23] ZHOU J,LAN H,ZHANG L,et al. Novel grain-based model for simulation of brittle failure of Alxa porphyritic granite[J]. Engineering Geology,2019,251:100–114.
[24] HOFMANN H,BABADAGLI T,ZIMMERMANN G. A grain based modeling study of fracture branching during compression tests in granites[J]. International Journal of Rock Mechanics and Mining Sciences,2015,77:152–162.
[25] CHEN W,KONIETZKY H. Simulation of heterogeneity,creep,damage and lifetime for loaded brittle rocks[J]. Tectonophysics,2014,633:164–175.
[26] CHEN S,YUE Z Q,THAM L G. Digital image-based numerical modeling method for prediction of inhomogeneous rock failure[J]. International Journal of Rock Mechanics and Mining Sciences,2004,41(6):939–957.
[27] 于庆磊,郑 超,杨天鸿,等. 基于细观结构表征的岩石破裂热–力耦合模型及应用[J]. 岩石力学与工程学报,2012,31(1):42–51. (YU Qinglei,ZHENG Chao,YANG Tianhong,et al. Meso-structure characterization based on coupled thermal-mechanical model for rock failure process and applications[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(1):42–51.(in Chinese))
[28] WONG L N Y,EINSTEIN H H. Crack coalescence in molded gypsum and carrara marble:part 1[J]. Macroscopic Observations and Interpretation,2009,42(3):475–511.
[29] 王永岩,张金龙,时秀文,等. 含不同倾角裂隙类岩石试件力学参数试验研究[J]. 科学技术工程,2018,18(12):262–266.(WANG Yongyan,ZHANG Jinlong,SHI Xiuwen,et al. Experimental study on mechanical parameters of fractured rock specimens with different dip angles[J]. Science Technology and Engineering,2018,18(12):262–266.(in Chinese))
[30] 赵 程,鲍 冲,田加深,等. 基于应变局部化的双裂纹岩样贯通模式及强度试验研究[J]. 岩石力学与工程学报,2015,34(11):2 309–2 318.(ZHAO Cheng,BAO Chong,TIAN Jiashen,et al. Experimental study of coalescence mode of cracks and strength of rock with double flaws based on strain localization[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(11):2 309–2 318.(in Chinese))
[31] LIU G,CAI M,HUANG M. Mechanical properties of brittle rock governed by micro-geometric heterogeneity[J]. Computers and Geotechnics,2018,104:358–372.