|
|
|
| Influence of grain shape and orientation of granite on mechanical property#br#
based on the grain texture model |
| WANG Suifeng1,ZHAO Xianyu1,ZHANG Liping1,CUI Zhen2,WANG Tao1 |
(1. State Key Laboratory of Water Resources Engineering and Management,Wuhan University,Wuhan,Hubei 430072,China;2. State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,
Chinese Academy of Sciences,Wuhan,Hubei 430071,China) |
|
|
|
|
Abstract Granite and other crystalline rocks exhibit heterogeneous properties such as discontinuity and anisotropy due to the microstructure such as mineral shape,mineral orientation and mineral composition. However,existing numerical methods are not able to quantitatively study the influence of mineral grain shape and orientation. In this paper,in order to investigate the influence of inhomogeneities such as shape and orientation of mineral grains on rock properties,the grain texture model(GTM) based on the particle discrete element method is proposed,GTM can investigate the influence of mineral grain shape and orientation and study the evolution of intra- and inter-grain crack of minerals by generating a random irregular shaped Cluster representing real mineral grains. By comparing with the results of experimental tests,the GTM can mimic the macroscopic mechanical properties and failure mode of LdB granite under different mechanical conditions with good agreement after the calibration of micro-parameters. By modeling GTM with various grain aspect ratios and rotation angles to investigate the influence of mineral grain shape and orientation,it is found that the change of grain shape and orientation will lead to the change of intra- and inter-grain contact ratios and orientations,which in turn affects the macroscopic mechanical properties and failure mode of the rock. The GTM can study the mechanical properties and failure mechanism of rocks more comprehensively from the perspective of microstructure of rocks,which provides an effective method to reveal the influence of heterogeneous properties on the macroscopic mechanical properties and intra- and inter-grain crack propagation.
|
|
|
|
|
|
[1] 谢和平. 深部岩体力学与开采理论研究进展[J]. 煤炭学报,2019,44(5):1 283–1 305.(XIE Heping. Research progress on deep rock mass mechanics and mining theory[J]. Journal of China Coal Society,2019,44(5):1 283–1 305.(in Chinese))
[2] PENG J,WONG L N Y,TEH C I. Influence of grain size heterogeneity on strength and microcracking behavior of crystalline rocks[J]. Journal of Geophysical Research:Solid Earth,2017,122(2):1 054–1 073.
[3] LIU G,CAI M,HUANG M. Mechanical properties of brittle rock governed by micro-geometric heterogeneity[J]. Computers and Geotechnics,2018,104:358–372.
[4] TANG C A,LIU H,LEE P K K,et al. Numerical studies of the influence of microstructure on rock failure in uniaxial compression:Part I,Effect of heterogeneity[J]. International Journal of Rock Mechanics and Mining Sciences,2000,37(4):555–569.
[5] 葛修润. 岩石疲劳破坏的变形控制律、岩土力学试验的实时X射线CT扫描和边坡坝基抗滑稳定分析的新方法[J]. 岩土工程学报,2008,30(1):1–20.(GE Xiurun. Deformation control law of rock fatigue failure,real-time X-ray CT scan of geotechnical testing,and new method of stability analysis of slopes and dam foundations[J]. Chinese Journal of Geotechnical Engineering,2008,30(1):1–20.(in Chinese))
[6] ALNEASAN M,BEHNIA M. An experimental investigation on tensile fracturing of brittle rocks by considering the effect of grain size and mineralogical composition[J]. International Journal of Rock Mechanics and Mining Sciences,2021,137:104570.
[7] ZHUANG L,KIM K Y,JUNG S G,et al. Effect of water infiltration,injection rate and anisotropy on hydraulic fracturing behavior of granite[J]. Rock Mechanics and Rock Engineering,2019,52(2):575–589.
[8] LAN H,MARTIN C D,HU B. Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading[J]. Journal of Geophysical Research,2010,115(B1):doi:10.1029/ 2009JB006496.
[9] 刘泉声,王中伟. 基于数字图像处理的岩石数值模拟研究进展[J]. 岩石力学与工程学报,2020,39(增2):3 286–3 296.(LIU Quansheng,WANG Zhongwei. Review of numerical modeling based on digital image processing for rock mechanics applications[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(Supp.2):3 286–3 296. (in Chinese))
[10] CHO N,MARTIN C D,SEGO D C. A clumped particle model for rock[J]. International Journal of Rock Mechanics and Mining Sciences,2007,44(7):997–1 010.
[11] CUNDALL P A,STRACK O D. A discrete numerical model for granular assemblies[J]. Geotechnique,1979,29(1):47–65.
[12] POTYONDY D O. A grain-based model for rock:approaching the true microstructure[C]// Proceedings of Rock Mechanics in the Nordic Countries. Kongsberg,Norway:[s. n.],2010:225–234.
[13] PENG J,WONG L N Y,TEH C I. Effects of grain size-to-particle size ratio on micro-cracking behavior using a bonded-particle grain-based model[J]. International Journal of Rock Mechanics and Mining Sciences,2017,100:207–217.
[14] KONG L,RANJITH P G,LI Q B,et al. Rock grain-scale mechanical properties influencing hydraulic fracturing using Hydro-GBM approach[J]. Engineering Fracture Mechanics,2022,262:108227.
[15] ZHANG Q,ZHU H,ZHANG L. Studying the effect of non-spherical micro-particles on Hoek-Brown strength parameter mi using numerical true triaxial compressive tests[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2015,39(1):96–114.
[16] YOON J S,ZANG A,STEPHANSSON O. Simulating fracture and friction of Aue granite under confined asymmetric compressive test using clumped particle model[J]. International Journal of Rock Mechanics and Mining Sciences,2012,49:68–83.
[17] 张新明,毛卫民. 晶体学材料织构定量分析[M]. 北京:工业出版社,1993:25–30.(ZHANG Xinmin,MAO Weimin. Quantitative analysis of the texture of crystallographic materials[M]. Beijing:China Machine Press,1993:25–30.(in Chinese))
[18] 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.
[19] 王穗丰,谭 飞,吕加贺,等. 基于霍克–布朗强度准则的水力压裂离散元数值模拟研究[J]. 武汉大学学报:工学版,2021,54(4):290–297.(WANG Suifeng,TAN Fei,LV Jiahe,et al. Discrete element numerical simulation of hydraulic fracturing based on Hoek-Brown strength criterion[J]. Engineering Journal of Wuhan University,2021,54(4):290–297.(in Chinese))
[20] 刘 宁,张春生,褚卫江,等. 深埋大理岩脆性破裂细观特征分析[J]. 岩石力学与工程学报,2012,31(增2):3 557–3 565.(LIU Ning,ZHANG Chunsheng,CHU Weijiang,et al. Microscopic characteristics analysis of brittle failure of deep buried marble[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(Supp.2):3 557–3 565.(in Chinese))
[21] 丁秀丽,吕全纲,黄书岭,等. 锦屏一级地下厂房大理岩变形破裂细观演化规律[J]. 岩石力学与工程学报,2014,33(11):2 179–2 189. (DING Xiuli,LV Quangang,HUANG Shuling,et al. Mesoscopic deformation and fracture of marble at underground powerhouse of Jinping I hydropower station[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(11):2 179–2 189.(in Chinese))
[22] WANG T,ZHOU W,CHEN J,et al. Simulation of hydraulic fracturing using particle flow method and application in a coal mine[J]. International Journal of Coal Geology,2014,121:1–13.
[23] LI K,CHENG Y,FAN X. Roles of model size and particle size distribution on macro-mechanical properties of Lac du Bonnet granite using flat-joint model[J]. Computers and Geotechnics,2018,103:43–60.
[24] 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.
[25] LI X F,ZHANG Q B,LI H B,et al. Grain-based discrete element method(GB-DEM) modelling of multi-scale fracturing in rocks under dynamic loading[J]. Rock Mechanics and Rock Engineering,2018,51(12):3 785–3 817.
[26] MARTIN C D,CHANDLER N A. The progressive fracture of Lac Du Bonnet Granite[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1994,31(6):643–659.
[27] MARTIN C D. Seventeenth Canadian geotechnical colloquium:The effect of cohesion loss and stress path on brittle rock strength[J]. Canadian Geotechnical Journal,1997,34(5):698–725.
[28] HOFMANN H,BABADAGLI T,YOON J S,et al. A grain based modeling study of mineralogical factors affecting strength,elastic behavior and micro fracture development during compression tests in granites[J]. Engineering Fracture Mechanics,2015,147:261–275.
[29] WANG S F,TAN F,YOU M L,et al. Discrete element modeling of crack initiation stress of marble based on Griffith's strength theory[J]. Advances in Civil Engineering,2020,(12):1–11.
[30] 张春生,陈祥荣,侯 靖,等. 锦屏二级水电站深埋大理岩力学特性研究[J]. 岩石力学与工程学报,2010,29(10):1 999–2 009. (ZHANG Chunsheng,CHEN Xiangrong,HOU Jing,et al. Study of mechanical behavior of deep-buried marble at Jinping II hydropower station[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(10):1 999–2 009.(in Chinese))
[31] HOEK E,BROWN E T. Practical estimates of rock mass strength[J]. International Journal of Rock Mechanics and Mining Sciences,1997,34(8):1 165–1 186.
[32] DIEDERICHS M S,KAISER P K,EBERHARDT E. Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation[J]. International Journal of Rock Mechanics and Mining Sciences,2004,41(5):785–812. |
|
|
|