|
|
|
| Study on the effect of heterogeneity on the macro and mesoscopic failure characteristics of sandstone samples
|
| WANG Kangyu1,2,LIU Guangjian1,2,LUO Zhanyou3,GAO Junqiang1,2,XU Yudong1,2,LI Shanlin1,2
|
| (1. School of Civil Engineering,Shaoxing University,Shaoxing,Zhejiang 312000,China;2. Key Laboratory of Rock Mechanics and Geohazards of Zhejiang Province,Shaoxing University,Shaoxing,Zhejiang 312000,China;3. School of Civil and Environmental Engineering and Geography Science,Ningbo University,Ningbo,Zhejiang 315000,China)
|
|
|
|
|
Abstract The mesoscopic heterogeneity of sandstone works as the fundamental cause of its stress-strain curve and variances in failure characteristics. In this paper,to investigate the macroscopic and mesoscopic failure characteristics of heterogenous sandstone,diffraction of x-rays(XRD) was employed for the precise characterization of mineral components and contents of sandstone,fish language was utilized to establish the UDEC-Tri heterogeneous normal distribution model of minerals and joint mechanical parameters. Indicators to identify damage of heterogenous rock samples were proposed,and the influence rules of heterogeneity in modulus of elasticity,spatial distribution of mineral particles and joint cohesion of minerals on the macroscopic failure and mesoscopic damage of rock samples were studied. The results show that with the increase of heterogeneous level( ),the nonlinear characteristics of stress-strain curves of rock samples are enhanced,the tangent modulus and compressive strength decreasing linearly,and macroscopic failure changes from the mode of shear failure to splitting failure. The increased value results in a non-synchronized yield of adjacent mineral particles,a higher proportion of tension crack,and decreased crack initiation stress and damage stress of rock samples;when embodying the identical value,the variance distribution in minerals of rock samples leads to the presence of “weak contact surfaces”,as measured by mechanic parameters,between adjacent particles,which shows good consistency with the extension path of macroscopic crack and serves as the basic cause of the discreteness of crack characteristics in low-strength rock samples. Compared with the mineral ,joint heterogeneity( )embodies a more conspicuous weakening effect on the mechanical properties of sandstone. As increases,the length of tension crack grows to more than that of shear crack,with an enlarged proportion of small-scale crack;and with the increase of joint cohesion ,the failure mode of rock changes from “shear failure on single slopes” to “X-shaped shear failure on conjugated slopes”. In general,the research findings explain the mechanism of variances in failure characteristics of sandstone samples collected of the identical origin and the same size,as references for building the mapping relation between heterogeneity and sample strength,and between heterogeneity and failure characteristics.
|
|
|
|
|
|
| [1] 唐春安. 岩石声发射规律数值模拟初探[J]. 岩石力学与工程学报,1997,16(4):368–374.(TANG Chun?an. Preliminary study on Numerical Simulation of acoustic emission law of rock[J]. Chinese Journal of Rock Mechanics and Engineering,1997,16(4):368–374.(in Chinese))
[2] TANG C A,LIU H,LEE P K K,et al. Numerical studies of the influence of microstructure on rock failure inuniaxial compression-Part 2:Effect of heterogeneity[J]. International Journal of Rock Mechanics and Mining Sciences,2000,37(4):555–569.
[3] 赵 斌,王芝银,伍锦鹏. 矿物成分和细观结构与岩石材料力学性质的关系[J]. 煤田地质与勘探,2013,41(3):59–67.(ZHAO Bin,WANG Zhiyin,WU Jinpeng. Relationship between mineral composition and fine structure and mechanical properties of rock materials[J]. Coalfield Geology and Exploration,2013,41(3):59–67.(in Chinese))
[4] 杨圣奇,陆家炜,田文岭,等. 不同节理粗糙度类岩石材料三轴压缩力学特性试验研究[J]. 岩土力学,2018,39(增1):21–32.(YANG Shengqi,LU Jiawei,TIAN Wenling,et al. Experimental study on mechanical properties of rock materials with different joint roughness under triaxial compression[J]. Rock and Soil Mechanics,2018,39(Supp. 1):21–32.(in Chinese))
[5] 黄彦华,杨圣奇. 含两组交叉节理砂岩强度及破坏特征离散元分析[J]. 煤炭学报,2015,40(增1):76–84.(HUANG Yanhua,YANG Shengqi. Discrete element analysis of strength and failure characteristics of sandstone with two groups of cross joints[J]. Journal of China Coal Society,2015,40(Supp. 1):76–84.(in Chinese))
[6] TANG C A,KAISER P K. Numerical simulation of cumulative damage and seismic energy release during brittle rock failure-part I:fundamentals[J]. International Journal of Rock Mechanics and Mining Sciences,1998,35(2):113–121.
[7] KAISER P K,TANG C A. Numerical simulation of damage accumulation and seismic energy release during brittle rock failure-part ii:rib pillar collapse[J]. International Journal of Rock Mechanics and Mining Sciences,1998,35(2):123–134.
[8] 王士民,朱合华,冯夏庭,等. 细观非均匀性对脆性岩石材料宏观破坏形式的影响[J]. 岩土力学,2006,27(2):224–227.(WANG Shimin,ZHU Hehua,FENG Xiating,et al. Effect of meso heterogeneity on macro failure form of brittle rock materials[J]. Rock and Soil Mechanics,2006,27(2):224–227.(in Chinese))
[9] 杨圣奇,徐卫亚,韦立德,等. 单轴压缩下岩石损伤统计本构模型与试验研究[J]. 河海大学学报:自然科学版,2004,47(2):200–203.(YANG Shengqi,XU Weiya,WEI Lide,et al. Statistical constitutive model and experimental study of rock damage under uniaxial compression[J]. Journal of Hohai University:Natural Science,2004,47(2):200–203.(in Chinese))
[10] 刘 建,赵国彦,梁伟章,等. 非均匀岩石介质单轴压缩强度及变形破裂规律的数值模拟[J]. 岩土力学,2018,39(增1):505–512.(LIU Jian,ZHAO Guoyan,LIANG Weizhang,et al. Numerical simulation of uniaxial compressive strength and deformation and fracture law of heterogeneous rock media[J]. Rock and Soil Mechanics,2018,39(Supp.1):505–512.(in Chinese))
[11] 张 明,李仲奎,苏 霞. 准脆性材料弹性损伤分析中的概率体元建模[J]. 岩石力学与工程学报,2005,24(23):4 282–4 288.(ZHANG Ming,LI Zhongkui,SU Xia. Probabilistic volume element Modeling for elastic damage analysis of quasi-brittle materials[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(23):4 282–4 288.(in Chinese))
[12] 梁正召,唐春安,张永彬,等. 准脆性材料的物理力学参数随机概率模型及破坏力学行为特征[J]. 岩石力学与工程学报,2008,27(4):718–727.(LIANG Zhengzhao,TANG Chun?an,ZHANG Yongbin,et al. Random probability model of physical and mechanical parameters and failure mechanical behavior characteristics of quasi brittle materials[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(4):718–727.(in Chinese))
[13] PAN C,LI X,HE L,et al. Study on the effect of micro-geometric heterogeneity on mechanical properties of brittle rock using a grain-based discrete element method coupling with the cohesive zone model[J]. International Journal of Rock Mechanics and Mining Sciences,2021,140(3–4):104680.
[14] 江 权,崔 洁,冯夏庭,等. 玄武岩力学参数的随机性统计与概率分布估计[J]. 岩土力学,2017,38(3):784–793.(JIANG Quan,CUI Jie,FENG Xiating,et al. Randomness statistics and probability distribution estimation of basalt mechanical parameters[J]. Rock and Soil Mechanics,2017,38(3):784–793.(in Chinese))
[15] LAN H X,MARTIN C D,HU B. Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading[J]. Journal of Geophysical Research Solid Earth,2010,115(B1):1–14.
[16] GAO F Q,STEAD D,ELMO D. Numerical simulation of microstructure of brittle rock using a grain-breakable distinct element grain-based model[J]. Computers and Geotechnics,2016,78(Sep):203–217.
[17] 唐欣薇,周元德,张楚汉. 考虑空间相关尺度特征的细观力学模型及其应用[J]. 岩土力学,2012,33(7):2 021–2 026.(TANG Xinwei,ZHOU Yuande,ZHANG Chuhan. Micromechanical model considering spatial correlation scale characteristics and its application[J]. Rock and Soil Mechanics,2012,33(7):2 021–2 026.(in Chinese))
[18] 罗 荣,曾亚武,杜 欣. 非均质岩石材料宏细观力学参数的关系研究[J]. 岩土工程学报,2012,34(12):2 331–2 336.(LUO Rong,ZENG Yawu,DU Xin. Study on the relationship between macro and micro mechanical parameters of heterogeneous rock materials[J]. Chinese Journal of Geotechnical Engineering,2012,34(12):2 331–2 336.(in Chinese))
[19] WONG L N Y,PENG J,TEH C I,et al. Numerical investigation of mineralogical composition effect on strength and micro-cracking behavior of crystalline rocks[J]. Journal of Natural Gas Science and Engineering,2018,53:191–203.
[20] BASU A,MlSHRA D A,ROYCHOWDHURY K. Rock failure modes under uniaxial compression,Brazilian,and point load tests[J]. Bulletin of Engineering Geology and the Environment,2013,72(3–4):457–475.
[21] 刘广建. 裂缝煤岩力学特性与冲击失稳宏细观机制研究[博士学位论文][D]. 徐州:中国矿业大学,2018.(LIU Guangjian. Study on mechanical properties of fractured coal and rock and macro and micro mechanism of impact instability[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2018.(in Chinese))
[22] GAO F Q,STEAD D. The application of a modified Voronoi logic to brittle fracture modelling at the laboratory and field scale[J]. International Journal of Rock Mechanics and Mining Sciences,2014,68(68):1–14.
[23] 李单林,刘广建,贾瑞锋,等. 单轴压缩试验端面摩擦效应及损伤演化规律研究[J]. 采矿与岩层控制工程学报,2021,31(3):99–108.(LI Shanlin,LIU Guangjian,JIA Ruifeng,et al. Study on the friction effect and damage evolution of end face in uniaxial compression test[J]. Journal of Mining and Rock Control Engineering,2021,31(3):99–108.(in Chinese))
[24] WEIBULL W. A statistical distribution function of wideapplica-bility[J]. Journal of Applied Mechanics,1951,13(2):293–297.
[25] FANG Z,HARRISON J P. Development of a local degradation approach to the modelling of brittle fracture in heterogeneous rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2002,39(4):443–457.
[26] 陈永强. 非均匀材料有效力学性能和破坏过程的数值模拟[博士学位论文][D]. 北京:清华大学,2001.(CHEN Yongqiang. Numerical simulation of effective mechanical properties and failure process of heterogeneous materials[Ph. D. Thesis][D]. Beijing:Tsinghua University,2001.(in Chinese))
[27] 中华人民共和国国家标准编写组. GB 50021-94 岩土工程勘察规范[S]. 北京:中国建筑工业出版社,1995.(The National Standards Compilation Group of People?s Republic of China. GB 50021—94 Geotechnical survey specification[S]. Beijing:China Architecture and Building Press,1995.(in Chinese))
[28] 刘 建,赵国彦,彭府华. 岩石介质弹塑性应变软化本构细观力学参数统计分布模型[J]. 煤炭学报,2020,45(增2):692–705.(LIU Jian,ZHAO Guoyan,PENG Fuhua. Statistical probability model for mesoscopic mechanical parameters of rock material under elastoplastic strain-softening framework[J]. Journal of China Coal Society,2020,45(Supp.2):692–705.(in Chinese))
[29] 尤明庆,华安增. 岩石试样单轴压缩的破坏形式与承载能力的降低[J]. 岩石力学与工程学报,1998,17(3):292–296.(YOU Mingqing,HUA Anzen. Damage forms and reduction of bearing capacity in uniaxial compression of rock specimens[J]. Chinese Journal of Rock Mechanics and Engineering,1998,17(3):292–296.(in Chinese))
[30] 胡训健,卞 康,刘 建,等. 花岗岩晶体粒径分布对声发射特性影响的颗粒流模拟[J]. 煤炭学报,2022,46(增2):721–730.(HU Xunjian,BIAN Kang,LIU Jian,et al. Particle flow simulation of the effect of granite crystal size distribution on acoustic emission characteristics[J]. Journal of China Coal Society,2022,46(增2):721–730.(in Chinese))
[31] 宋朝阳,纪洪广,曾 鹏,等. 西部典型弱胶结粗粒砂岩单轴压缩破坏的类相变特征研究[J]. 采矿与安全工程学报,2020,37(5):1 027–1 036.(SONG Chaoyang,JI Hongguang,ZENG Peng,et al. Study on the phase change characteristics of uniaxial compression damage of typical weakly cemented coarse-grained sandstone in the west[J]. Journal of Mining and Safety Engineering,2020,37(5):1 027–1 036.(in Chinese)) |
|
|
|