岩石损伤统计本构模型参数及其临界敏感性分析
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摘要
在岩石应变软化变形全过程的损伤统计本构模型基础上,根据单轴压缩应力应变全过程曲线,进一步明确了本构模型中分布参数的物理意义和实际意义,提出了模型参数的确定方法并通过试验验证了该方法的合理性,在此基础上进一步分析了不同均质度岩石的临界敏感性.结果表明,通过该方法确定的岩石均质度综合反映了岩石峰前聚能和峰后释能的能力,比以往的计算和拟合过程更简单,物理意义更加明确;随着均质度的增加,岩石临界行为特征越来越明显,临界敏感性增强,对于岩爆岩石来说,岩爆倾向性增强.通过确定的岩石均质度可以方便的定量比较不同岩石的临界敏感性和岩爆倾向性,便于更好的指导实际工程和提前采取预防措施.
Based on rock damage statistical constitutive model founded by the whole process of rock strain softening deformation,the physical and practical significance of model parameters are further defined according to the whole process of uniaxial compression stress-strain curves.The method to determine the model parameters is proposed and its rationality validated by tests.The critical sensibility of different homogeneous rocks is further analyzed.The results show that the homogeneity degree of rocks determined by this method synthetically reflect the energy accumulation of pre-peak and energy release of post-peak;moreover,the method to determine the model parameters are simple and the concepts of the model parameters are clear.With the increase of homogeneity degree,the characteristics of critical behavior of rock become more and more obvious and its critical sensibility becomes strengthened,but the rockburst risk increases.The critical sensitivity and rockburst tendency of different types of rocks can be compared easily and quantitatively by the homogeneity degree of rocks,which can be used to guide the actual construction and to take precautionary measures in advance.
Based on rock damage statistical constitutive model founded by the whole process of rock strain softening deformation,the physical and practical significance of model parameters are further defined according to the whole process of uniaxial compression stress-strain curves.The method to determine the model parameters is proposed and its rationality validated by tests.The critical sensibility of different homogeneous rocks is further analyzed.The results show that the homogeneity degree of rocks determined by this method synthetically reflect the energy accumulation of pre-peak and energy release of post-peak;moreover,the method to determine the model parameters are simple and the concepts of the model parameters are clear.With the increase of homogeneity degree,the characteristics of critical behavior of rock become more and more obvious and its critical sensibility becomes strengthened,but the rockburst risk increases.The critical sensitivity and rockburst tendency of different types of rocks can be compared easily and quantitatively by the homogeneity degree of rocks,which can be used to guide the actual construction and to take precautionary measures in advance.
引文
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[7]曾晟,杨仕教,张新华,等.单轴压缩下石灰岩损伤统计本构模型与试验研究[J].南华大学学报,2005,19(1):69-72.ZENGsheng,YANG Shi-jiao,ZHANG Xin-hua,etal.Statistical constitutive model for li mestone rockdamage under uniaxial compression and its experi-mental study[J].Journal of Nanhua University,2005,19(1):69-72.
[8]刘齐建,杨林德,曹文贵.岩石统计损伤本构模型及其参数反演[J].岩石力学与工程学报,2005,24(4):616-621.LI U Qi-jian,YANG Lin-de,CAO Wen-gui.Statisti-cal damage constitutive model for rock and back anal-ysis of its parameters[J].Chinese Journal of RockMechanics and Engineering,2005,24(4):616-621.
[9]杨明辉,赵明华,曹文贵.岩石损伤软化统计本构模型参数的确定方法[J].水利学报,2005,36(3):345-349.YANG Ming-hui,ZHAO Ming-hua,CAO Wen-gui.Method for determining the parameters of statisticaldamage softening constitutive model for rock[J].Journal of Hydraulic Engineering,2005,36(3):345-349.
[10]徐涛,唐春安,张哲,等.单轴压缩条件下脆性岩石变形破坏的理论、试验与数值模拟[J].东北大学学报,2003,24(1):87-90.XU Tao,TANG Chun-an,ZHANG Zhe,et al.Theoretical,experi mental and numerical studies ondeformation and failure of brittle rock in uniaxialcompression[J].Journal of Northeastern Universi-ty,2003,24(1):87-90.
[11]冯增朝,赵阳升.岩石非均质性与冲击倾向的相关规律研究[J].岩石力学与工程学报,2003,22(11):1863-1865.FENG Zeng-chao,ZHAO Yang-sheng.Correlativi-ty of rock inhomogeneity and rock burst trend[J].Chinese Journal of Rock Mechanics and Engineer-ing,2003,22(11):1863-1865.
[12]陈忠辉,谭国焕,杨文柱.岩石脆性破裂的重正化研究及数值模拟[J].岩土工程学报,2002,24(2):183-187.CHEN Zhong-hui,TAN Guo-han,YANG Wen-zhu.Renormalization study and numerical si mula-tion on brittle failure of rocks[J].Chinese Journalof Geotechnical Engineering,2002,24(2):183-187.
[13]张后全,唐春安,贺永年,等.岩石微破裂进程的自组织临界特征探讨[J].西北地震学报,2006,28(1):1-5.ZHANG Hou-quan,TANG Chun-an,HE Yong-nian,et al.Discussion on self-organized criticalityinrock failure progress[J].Northwestern Seismologi-cal Journal,2006,28(1):1-5.
[2]曹文贵,方祖烈,唐学军.岩石损伤软化统计本构模型之研究[J].岩石力学与工程学报,1998,17(6):628-633.CAO Wen-gui,FANG Zu-lie,TANG Xue-jun.Astudy of statistical constitutive model for soft anddamaged rocks[J].Chinese Journal of Rock Mechan-ics and Engineering,1998,17(6):628-633.
[3]曹文贵,张升.基于Mohr-Coulomb准则的岩石损伤统计分析方法研究[J].湖南大学学报:自然科学版,2005,32(1):43-47.CAO Wen-gui,ZHANG Sheng.Study on the statis-tical analysis of rock damage based on mohr-coulombcriterion[J].Journal of Hunan University:NaturalScience,2005,32(1):43-47.
[4]曹文贵,赵衡,张玲,等.考虑损伤阀值影响的岩石损伤统计软化本构模型及其参数确定方法[J].岩石力学与工程学报,2008,27(6):1148-1154.CAO Wen-gui,ZHAO Heng,ZHANG Ling,et al.Damage statistical softening constitutive model forrock considering effect of damage threshold and itsparameters determinaing method[J].Chinese Journalof Rock Mechanics and Engineering,2008,27(6):1148-1154.
[5]徐卫亚,韦立德.岩石损伤统计本构模型的研究[J].岩石力学与工程学报,2002,21(6):787-791.XU Wei-ya,WEI Li-de.Study on statistical damageconstitutive model of rock[J].Chinese Journal ofRock Mechanics and Engineering,2002,21(6):787-791.
[6]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,2004,32(2):200-203.YANG Sheng-qi,XU Wei-ya,WEI Li-de,et al.Sta-tistical constitutive model for rock damage under uni-axial compression and its experi mental study[J].Journal of Hohai University,2004,32(2):200-203.
[7]曾晟,杨仕教,张新华,等.单轴压缩下石灰岩损伤统计本构模型与试验研究[J].南华大学学报,2005,19(1):69-72.ZENGsheng,YANG Shi-jiao,ZHANG Xin-hua,etal.Statistical constitutive model for li mestone rockdamage under uniaxial compression and its experi-mental study[J].Journal of Nanhua University,2005,19(1):69-72.
[8]刘齐建,杨林德,曹文贵.岩石统计损伤本构模型及其参数反演[J].岩石力学与工程学报,2005,24(4):616-621.LI U Qi-jian,YANG Lin-de,CAO Wen-gui.Statisti-cal damage constitutive model for rock and back anal-ysis of its parameters[J].Chinese Journal of RockMechanics and Engineering,2005,24(4):616-621.
[9]杨明辉,赵明华,曹文贵.岩石损伤软化统计本构模型参数的确定方法[J].水利学报,2005,36(3):345-349.YANG Ming-hui,ZHAO Ming-hua,CAO Wen-gui.Method for determining the parameters of statisticaldamage softening constitutive model for rock[J].Journal of Hydraulic Engineering,2005,36(3):345-349.
[10]徐涛,唐春安,张哲,等.单轴压缩条件下脆性岩石变形破坏的理论、试验与数值模拟[J].东北大学学报,2003,24(1):87-90.XU Tao,TANG Chun-an,ZHANG Zhe,et al.Theoretical,experi mental and numerical studies ondeformation and failure of brittle rock in uniaxialcompression[J].Journal of Northeastern Universi-ty,2003,24(1):87-90.
[11]冯增朝,赵阳升.岩石非均质性与冲击倾向的相关规律研究[J].岩石力学与工程学报,2003,22(11):1863-1865.FENG Zeng-chao,ZHAO Yang-sheng.Correlativi-ty of rock inhomogeneity and rock burst trend[J].Chinese Journal of Rock Mechanics and Engineer-ing,2003,22(11):1863-1865.
[12]陈忠辉,谭国焕,杨文柱.岩石脆性破裂的重正化研究及数值模拟[J].岩土工程学报,2002,24(2):183-187.CHEN Zhong-hui,TAN Guo-han,YANG Wen-zhu.Renormalization study and numerical si mula-tion on brittle failure of rocks[J].Chinese Journalof Geotechnical Engineering,2002,24(2):183-187.
[13]张后全,唐春安,贺永年,等.岩石微破裂进程的自组织临界特征探讨[J].西北地震学报,2006,28(1):1-5.ZHANG Hou-quan,TANG Chun-an,HE Yong-nian,et al.Discussion on self-organized criticalityinrock failure progress[J].Northwestern Seismologi-cal Journal,2006,28(1):1-5.
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