裂隙几何特征对岩石强度影响模拟实验研究
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摘要
为探究裂隙几何特征(倾角、长度、位置)的综合作用对岩石峰值强度的影响,对含单裂隙岩石进行单轴压缩的数值模拟实验,分析裂隙倾角、长度、位置对岩石强度特性和破裂特征的影响,同时基于多元逐步回归分析,将三者对岩石峰值强度的影响性进行评价。结果表明:倾角对新生裂纹的起裂位置与起裂时间作用明显,长度与岩石的完整性与稳定程度具有相关性,位置影响裂纹扩展规模和岩石破坏形态;裂隙倾角、长度与位置对岩石峰值强度的影响程度在不同区间内有所差异,从整体来看,由于位置影响因子较小被作为无关变量剔除,在小于45°区间内,对岩石峰值强度的影响程度大小为长度>倾角>位置,长度与倾角的影响因子为0.82、0.36,在大于45°区间内,对岩石峰值强度的影响程度大小为倾角>长度>位置,长度与倾角的影响因子为0.344、0.866,同时,建立的逐步回归模型可以有效评价岩石强度,对岩石初始损伤判定具有一定参考价值。
In order to explore the influence of the comprehensive effects on fracture inclination,length and location distribution on the peak strength of rock,the numerical simulation experiment of uniaxial compression on rock containing single fracture is made.In this experiment,the influence of fracture inclination,length and position on rock strength and fracture characteristics were analysed.This article also use the multiple stepwise regression analysis to evaluate the influence of the three factors on the peak strength of rock.The results show that the fracture inclination has an obvious effect on the crack initiation position and time of the new crack,the length is correlated with the rock integrity and stability,and the location affects the crack growth scale and rock failure form.The influence of fracture inclination,length and position on rock peak strength varies in different intervals.Because of the position influence factor is small,it is eliminated as an irrelevant variable.On the whole,in less than 45°interval,the influence degree of the peak strength of rock size for length>inclination>position,length and inclination of impact factor of 0.82 and 0.36;in more than 45°interval,the influence degree of the peak strength of rock size of inclination>length>position,length and inclination of impact factor of 0.344 and 0.866.Meanwhile,the stepwiseregression model can be used to evaluate the strength of rock and has some reference value for determining the initial damage of rock.
In order to explore the influence of the comprehensive effects on fracture inclination,length and location distribution on the peak strength of rock,the numerical simulation experiment of uniaxial compression on rock containing single fracture is made.In this experiment,the influence of fracture inclination,length and position on rock strength and fracture characteristics were analysed.This article also use the multiple stepwise regression analysis to evaluate the influence of the three factors on the peak strength of rock.The results show that the fracture inclination has an obvious effect on the crack initiation position and time of the new crack,the length is correlated with the rock integrity and stability,and the location affects the crack growth scale and rock failure form.The influence of fracture inclination,length and position on rock peak strength varies in different intervals.Because of the position influence factor is small,it is eliminated as an irrelevant variable.On the whole,in less than 45°interval,the influence degree of the peak strength of rock size for length>inclination>position,length and inclination of impact factor of 0.82 and 0.36;in more than 45°interval,the influence degree of the peak strength of rock size of inclination>length>position,length and inclination of impact factor of 0.344 and 0.866.Meanwhile,the stepwiseregression model can be used to evaluate the strength of rock and has some reference value for determining the initial damage of rock.
引文
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[9]苏海健,靖洪文,赵洪辉,等.纵向裂隙对砂岩力学特性影响试验研究[J].采矿与安全工程学报,2014,31(4):644-649.SU HaiJian,JING Hongwen,ZHAO Honghui,et al.Experimental study on the influence of longitudinal fissure on mechanics characteristic of sandstone[J].Journal of Mining and Safety Engineering,2014,31(4):644-649.
[10]王国艳,于广明,宋传旺.初始裂隙几何要素对岩石裂隙扩展演化的影响[J].辽宁工程技术大学学报,2011,30(5):681-684.WANG Guoyan,YU Guangming,SONG Chuanwang.Influence of initial crack geometrical properties on rock crack propagation[J].Journal of Liaoning Technical University,2011,30(5):681-684.
[11]尹乾,靖洪文,苏海健,等.含纵向裂隙砂岩的强度劣化与加载速率效应[J].采矿与安全工程学报,2016,33(1):128-133.YIN Qian,JING Hongwen,SU Haijian,et al.Strength degradation and loading rate effect of sandstone containing a longitudinal fissure[J].Journal of Mining and Safety Engineering,2016,33(1):128-133.
[12]蒲成志,曹平,赵延林,等.单轴压缩下多裂隙类岩石材料强度试验与数值分析[J].岩土力学,2010,31(11):3661-3666.PU Chengzhi,CAO Ping,ZHAO Yanlin,et al.Numerical analysis and strength experiment of rock-like materials with multi-fissures under uniaxial compression[J].Rock and Soil Mechanics,2010,31(11):3661-3666.
[13]芮勇勤,唐春安.岩石剪切破坏过程的RFPA2D数值模拟[J].岩石力学与工程学报,2002,21(3):364-368.RUI Yongqin,TANG Chun'an.Numerical simulation on failure process of rock sample with RFPA2Dcode under direct shear test[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(3):364-368.
[14]唐春安,刘红元,秦四清,等.非均匀性对岩石介质中裂纹扩展模式的影响[J].地球物理学报,2000,43(1):116-121.TANG Chun'an,LIU Hongyuan,QIN Siqin,et al.Influence of heterogeneity on crack propagation modes in brittle rock[J].Chinese Journal of Geophysics,2000,43(1):116-121.
[15]傅真,蔡永恩.岩石试件尺寸对裂纹应力场影响的数值分析[J].地震学报,2005,27(3):301-308.FU Zhen,CAI Yongen.Numerical analysis on the influence of rock specimen size on crack stress field[J].Acta Seismologica Sinica,2005,27(3):301-308.
[16]王国艳,于广明,李刚,等.初始裂隙倾角对岩石破坏模式及峰值强度的影响[J].中国矿业,2017,26(10):173-176.WANG Guoyan,YU Guangming,LI Gang,et al.Influence of initial crack dip angle on failure mode and peak strength of rock[J].China Mining Magazine,2017,26(10):173-176.
[17]肯·布莱克,戴维·L·埃尔德雷奇.以EXCEL为决策工具的商务与经济统计[M].北京:机械工业出版社,2003.
[18]朱凯,李爱群,郭柏威,等.逐步回归多元统计预测模型研究及其程序设计[J].贵州水力发电,2005,19(3):72-76.ZHU Kai,LI Aiqun,GUO Baiwei,et al.Research on forecasting model of multi-element regression statistics step by step&its program design[J].Guizhou Water Power,2005,19(3):72-76.
[2]曾鹏,纪洪广,赵奎,等.绢云母化千枚岩各向异性特性及长期强度试验研究[J].中国矿业,2016,25(4):141-145.ZENG Peng,JI Hongguang,ZHAO Kui,et al.Experimental study on long-term strength and anisotropic characteristics of sericite phyllite[J].China Mining magazine,2016,25(4):141-145.
[3]杨圣奇.断续三裂隙砂岩强度破坏和裂纹扩展特征研究[J].岩土力学,2013,34(1):31-39.YANG Shengqi.Study of strength failure and crack coalescence behavior of sandstone containing three preexisting fissures[J].Rock and Soil Mechanics,2013,34(1):31-39.
[4]李树忱,汪雷,李术才,等.不同倾角贯穿节理类岩石试件峰后变形破坏试验研究[J].岩石力学与工程学报,2013,32(S2):3391-3395.LI Shuchen,WANG Lei,LI Shucai,et al.Post-peak deformation and failure experimental study of rock-like specimens with different inclination angles persistent joints[J]Chinese Journal of Rock Mechanics and Engineering,2013,32(S2):3391-3395.
[5]李德行,王恩元,李楠,等.单轴压缩下宏观裂纹倾角对煤体特性影响研究[J].岩石力学与工程学报,2017,36(S1):3206-3213.LI Dexing,WANG Enyuan,LI Nan,et al.Research on the coal characteristics of macro-crack dip angles under uniaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2017,36(S1):3206-3213.
[6]赵程,刘丰铭,杨磊,等.岩石单裂纹扩展及损伤演化规律的数值模拟研究[J].重庆交通大学学报:自然科学版,2016,35(5):22-27.ZHAO Cheng,LIU Fengming,YANG Lei,et al.Numerical simulation of single crack propagation and damage evolution mechanism of rock specimens[J].Journal of Chongqing Jiaotong University:Natural Science,2016,35(5):22-27.
[7]林鹏,王仁坤,黄凯珠,等.含裂纹缺陷脆性岩石的峰值强度模型[J].清华大学学报:自然科学版,2006,46(9):1514-1517.LIN Peng,WANG Renkun,WONG Robina Hoichu,et al.Peak strength model of brittle rocks containing flaws[J].Journal of Tsinghua University:Science and Technology,2006,46(9):1514-1517.
[8]周辉,孟凡震,张传庆,等.不同位置和尺寸的裂隙对岩体破坏影响的试验研究[J].岩石力学与工程学报,2015,34(1):3018-3028.ZHOU Hui,MENG Fanzhen,ZHANG Chuanqing,et al.Experimental study on effect of joints with different locations and sizes on rock failure[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(1):3018-3028.
[9]苏海健,靖洪文,赵洪辉,等.纵向裂隙对砂岩力学特性影响试验研究[J].采矿与安全工程学报,2014,31(4):644-649.SU HaiJian,JING Hongwen,ZHAO Honghui,et al.Experimental study on the influence of longitudinal fissure on mechanics characteristic of sandstone[J].Journal of Mining and Safety Engineering,2014,31(4):644-649.
[10]王国艳,于广明,宋传旺.初始裂隙几何要素对岩石裂隙扩展演化的影响[J].辽宁工程技术大学学报,2011,30(5):681-684.WANG Guoyan,YU Guangming,SONG Chuanwang.Influence of initial crack geometrical properties on rock crack propagation[J].Journal of Liaoning Technical University,2011,30(5):681-684.
[11]尹乾,靖洪文,苏海健,等.含纵向裂隙砂岩的强度劣化与加载速率效应[J].采矿与安全工程学报,2016,33(1):128-133.YIN Qian,JING Hongwen,SU Haijian,et al.Strength degradation and loading rate effect of sandstone containing a longitudinal fissure[J].Journal of Mining and Safety Engineering,2016,33(1):128-133.
[12]蒲成志,曹平,赵延林,等.单轴压缩下多裂隙类岩石材料强度试验与数值分析[J].岩土力学,2010,31(11):3661-3666.PU Chengzhi,CAO Ping,ZHAO Yanlin,et al.Numerical analysis and strength experiment of rock-like materials with multi-fissures under uniaxial compression[J].Rock and Soil Mechanics,2010,31(11):3661-3666.
[13]芮勇勤,唐春安.岩石剪切破坏过程的RFPA2D数值模拟[J].岩石力学与工程学报,2002,21(3):364-368.RUI Yongqin,TANG Chun'an.Numerical simulation on failure process of rock sample with RFPA2Dcode under direct shear test[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(3):364-368.
[14]唐春安,刘红元,秦四清,等.非均匀性对岩石介质中裂纹扩展模式的影响[J].地球物理学报,2000,43(1):116-121.TANG Chun'an,LIU Hongyuan,QIN Siqin,et al.Influence of heterogeneity on crack propagation modes in brittle rock[J].Chinese Journal of Geophysics,2000,43(1):116-121.
[15]傅真,蔡永恩.岩石试件尺寸对裂纹应力场影响的数值分析[J].地震学报,2005,27(3):301-308.FU Zhen,CAI Yongen.Numerical analysis on the influence of rock specimen size on crack stress field[J].Acta Seismologica Sinica,2005,27(3):301-308.
[16]王国艳,于广明,李刚,等.初始裂隙倾角对岩石破坏模式及峰值强度的影响[J].中国矿业,2017,26(10):173-176.WANG Guoyan,YU Guangming,LI Gang,et al.Influence of initial crack dip angle on failure mode and peak strength of rock[J].China Mining Magazine,2017,26(10):173-176.
[17]肯·布莱克,戴维·L·埃尔德雷奇.以EXCEL为决策工具的商务与经济统计[M].北京:机械工业出版社,2003.
[18]朱凯,李爱群,郭柏威,等.逐步回归多元统计预测模型研究及其程序设计[J].贵州水力发电,2005,19(3):72-76.ZHU Kai,LI Aiqun,GUO Baiwei,et al.Research on forecasting model of multi-element regression statistics step by step&its program design[J].Guizhou Water Power,2005,19(3):72-76.
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