岩石非定常蠕变模型辨识
摘要
在页岩蠕变试验数据基础上,分析岩石黏弹性变形随应力水平不同和时间发展的变化规律。通过反分析方法建立一维情况下非定常黏弹性模型的蠕变方程,通过应变的理论计算结果与试验结果的对比发现,不考虑参数的时间相关性将引起较大的误差,而考虑参数的时间相关性的非定常黏弹性模型比定常黏弹性模型可更为准确地反映岩石的黏弹性变形性能。在软岩巷道二维非定常蠕变模型辨识的工程实例中,事先假定围岩为黏弹性和黏弹塑性两种不同力学模型,并分别考虑参数为定常和非定常两种情形,在已知现场量测位移条件下,利用位移反分析并根据一定的准则函数求其不同模型中的参数及相应的准则函数值,由各个模型相应的准则函数值大小,判定最佳模型。在假定的一组模型里,发现非定常黏弹塑性模型为最佳模型。
Based on the creep experimental data of shalet,he relationship among stress levelt,ime and viscoelastic deformation disciplines of rock is analyzed.One-dimensional viscoelastic creep equation of rock is given by back analysis method.According to theoretical and experimental data,large errors will be encountered without considering time-dependent behaviors of the parameters.Therefore,a non-stationary viscoelastic constitutive model can more accurately reflect the deformation behaviors of rock than those of stationary mode.The necessity of non-stationary parameters is testified.In practical cases,the surrounding rocks in a certain tunnel are supposed to be viscoelastic and visco-elastoplastic bodies,respectively;and certain parameters of rocks are regarded as time-dependent variables.By using back analysis of displacement,two-dimensional non-stationary creep constitutive model of the surrounding rock is identified based on measured displacements.The result indicates that the visco-elastoplastic model with non-stationary parameters can reflect the characteristics of rock mass objectively.
Based on the creep experimental data of shalet,he relationship among stress levelt,ime and viscoelastic deformation disciplines of rock is analyzed.One-dimensional viscoelastic creep equation of rock is given by back analysis method.According to theoretical and experimental data,large errors will be encountered without considering time-dependent behaviors of the parameters.Therefore,a non-stationary viscoelastic constitutive model can more accurately reflect the deformation behaviors of rock than those of stationary mode.The necessity of non-stationary parameters is testified.In practical cases,the surrounding rocks in a certain tunnel are supposed to be viscoelastic and visco-elastoplastic bodies,respectively;and certain parameters of rocks are regarded as time-dependent variables.By using back analysis of displacement,two-dimensional non-stationary creep constitutive model of the surrounding rock is identified based on measured displacements.The result indicates that the visco-elastoplastic model with non-stationary parameters can reflect the characteristics of rock mass objectively.
引文
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[15]杨志法,王思敬,冯紫良,等.岩土工程反分析原理及应用[M].北京:地震出版社,2002.(YANG Zhifa,WANG Sijing,FENG Ziliang,et al.Principles and application about back analysis of displacement in geotechnical engineering[M].Beijing:Earthquake Press,1996.(in Chinese))
[16]李金兰.岩体非定常黏弹塑性有限元分析及位移反分析[硕士学位论文][D].青岛:山东科技大学,2006.(LI Jinlan.Non-stationary visco-elastoplastic finite element analysis of rock mass and displacement back analysis[M.S.Thesis][D].Qingdao:Shandong University of Science and Technology,2006.(in Chinese))
[2]孙钧,蒋树屏,袁勇,等.岩土力学反演问题的随机制论与方法[M].汕头:汕头大学出版社,1996.(SUN Jun,JIANG Shuping,YUAN Yong,et al.Stochastic theory and method of inverse problem on geomechanics[M].Shantou:Shantou University Press,1996.(in Chinese))
[3]杨林德.岩土工程问题的反演理论及工程实践[M].北京:科学出版社,1996.(YANG Linde.Inverse theory and engineering practice in geotechnical engineering[M].Beijing:Science Press,1996.(in Chinese))
[4]王芝银,李云鹏.地下工程位移反分析法及程序[M].西安:陕西科学技术出版社,1993.(WANG Zhiyin,LI Yunpeng.Program and back analysis method in underground engineering[M].Xi′an:Shaanxi Science Technology Press,1993.(in Chinese))
[5]吕爱钟,蒋斌松.岩石力学反问题[M].北京:煤炭工业出版社,1998.(LU Aizhong,JIANG Binsong.Inverse problems of rock mechanics[M].Beijing:China Coal Industry Publishing House,1998.(in Chinese))
[6]JURINA L,MAIER G,PODOLAK K.On model identification problem in rock mechanics[C]//Proc.Symp.on the Geotechnics of Structurally Complex Formations.Capri:[s.n.],1977:287–295.
[7]GIODA G,SAKURAI S.Back analysis procedures for the interpretation of field measurements in geomechanics[J].Int.J.for Num.and Anal.Meth.in Geomech.,1987,11(6):555–583.
[8]孙钧,侯学渊.地下结构[M].北京:科学出版社,1991.(SUN Jun,HOU Xueyuan.Underground structures[M].Beijing:Science Press,1991.(in Chinese))
[9]袁勇,孙钧.岩体本构模型反演辨识理论及其工程应用[J].岩石力学与工程学报,1993,12(3):232–239.(YUAN Yong,SUN Jun.Theory of model recognition for back analyzing the constitutive relationship of rock mass and its engineering application[J].Chinese Journal of Rock Mechanics and Engineering,1993,12(3):232–239.(in Chinese))
[10]刘保国.岩体黏弹、黏塑性本构模型辨识及工程应用[博士学位论文][D].上海:同济大学,1997.(LIU Baoguo.Identification of visco-elastic,viscoplastic constitutive model of rocks and its application[Ph.D.Thesis][D].Shanghai:Tongji University,1997.(in Chinese))
[11]孙钧.岩土材料流变及其工程应用[M].北京:中国建筑工业出版社,1999.(SUN Jun.Rheological behavior of geomaterials and its engineering applications[M].Beijing:China Architecture and Building Press,1999.(in Chinese))
[12]丁志坤,吕爱钟.岩石黏弹性非定常蠕变方程的参数辨识[J].岩土力学,2004,25(增1):37–40.(DING Zhikun,LU Aizhong.Parameter identification of non-stationary creep equation of rock[J].Rock and Soil Mechanics,2004,25(Supp.1):37–40.(in Chinese))
[13]夏才初,钟时猷.考虑加载历史影响的蠕变试验数据整理方法[J].中南矿冶学院学报,1989,20(1):31–37.(XIA Caichu,ZHONG Shiyou.Experimental data processing method in consideration of influence of loading history on rock specimen deformation[J].Journal of Central South Institute of Mining and Metallurgy,1989,20(1):31–37.(in Chinese))
[14]焦春茂.岩体非定常流变模型的有限元计算及位移反分析[硕士学位论文][D].青岛:山东科技大学,2005.(JIAO Chunmao.Finite element calculation of non-stationary creep constitutive model of rock mass and displacement back analysis[M.S.Thesis][D].Qingdao:Shandong University of Science and Technology,2005.(in Chinese))
[15]杨志法,王思敬,冯紫良,等.岩土工程反分析原理及应用[M].北京:地震出版社,2002.(YANG Zhifa,WANG Sijing,FENG Ziliang,et al.Principles and application about back analysis of displacement in geotechnical engineering[M].Beijing:Earthquake Press,1996.(in Chinese))
[16]李金兰.岩体非定常黏弹塑性有限元分析及位移反分析[硕士学位论文][D].青岛:山东科技大学,2006.(LI Jinlan.Non-stationary visco-elastoplastic finite element analysis of rock mass and displacement back analysis[M.S.Thesis][D].Qingdao:Shandong University of Science and Technology,2006.(in Chinese))
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