冻结层状红砂岩三轴蠕变特性及本构模型研究
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摘要
为探讨冻结、三轴应力条件下层状红砂岩蠕变失稳规律,采用自主研发的DRTS-500型动力扰动低温岩石三轴试验系统对-10℃,围压为8MPa下不同节理面倾角的层状红砂岩进行三轴压缩试验和三轴蠕变试验,建立了冻结层状红砂岩三维蠕变模型.结果表明:冻结层状红砂岩轴向初始蠕变特性、非线性蠕变特性以及蠕变破坏形式受层理方向影响显著;所提出的新模型可以精确描述冻结层状红砂岩在三轴压缩条件下的轴向、径向蠕变全过程曲线,且该模型在描述初始蠕变阶段和非线性蠕变阶段时优于经典西原模型和改进西原模型.研究成果对西北地区层状岩层中立井冻结法施工时冻结岩壁支护时间、非线性变形预测以及井筒安全性评价具有一定的参考价值.
In order to investigate laws of creep instability of the stratified red sandstone under freezing and triaxial stress,triaxial compression tests and triaxial creep tests were conducted on stratified red sandstone samples under-10 ℃ and 8 MPa using the self-developed DRTS-500 dynamic disturbance subzero rock triaxial testing system.Three-dimensional creep models of frozen stratified red sandstone were established.The results show that axial initial creep properties,nonlinear creep properties,and creep compression failure forms of frozen stratified red sandstone are strongly related to bedding plane.The proposed new model can accurately describe the whole process of axial and radial creep curves of frozen stratified red sandstones which were under triaxial compression condition.Compared with the classical Nishihara model and improved Nishihara model,the new model is more superior in describing the initial phase and the nonlinear creep phase.The results are instructive to supporting time,nonlinear deformation prediction,and safety evaluation of frozen rock wall during shaft sinking by freezing method in stratified rock strata in Northwest China.
In order to investigate laws of creep instability of the stratified red sandstone under freezing and triaxial stress,triaxial compression tests and triaxial creep tests were conducted on stratified red sandstone samples under-10 ℃ and 8 MPa using the self-developed DRTS-500 dynamic disturbance subzero rock triaxial testing system.Three-dimensional creep models of frozen stratified red sandstone were established.The results show that axial initial creep properties,nonlinear creep properties,and creep compression failure forms of frozen stratified red sandstone are strongly related to bedding plane.The proposed new model can accurately describe the whole process of axial and radial creep curves of frozen stratified red sandstones which were under triaxial compression condition.Compared with the classical Nishihara model and improved Nishihara model,the new model is more superior in describing the initial phase and the nonlinear creep phase.The results are instructive to supporting time,nonlinear deformation prediction,and safety evaluation of frozen rock wall during shaft sinking by freezing method in stratified rock strata in Northwest China.
引文
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[9]齐亚静,姜清辉,王志俭,等.改进西原模型的三维蠕变本构方程及其参数辨识[J].岩石力学与工程学报,2012,31(2):347-355.QI Yajing,JIANG Qinghui,WANG Zhijian,et al.3Dcreep constitutive equation of modified nishihara model and its parameters identification[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(2):347-355.
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[11]由爽,张志超,纪洪广.岩石蠕变的热力学本构模型及应用分析[J].中国矿业大学学报,2016,45(3):507-513.YOU Shuang,ZHANG Zhichao,JI Hongguang.Athermodynamic constitutive model for creep behavior of rocks and its application[J].Journal of China U-niversity of Mining&Technology,2016,45(3):507-513.
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[13]MISHRA B,VERMA P.Uniaxial and triaxial single and multistage creep tests on coal-measure shale rocks[J].International Journal of Coal Geology,2015,137:55-65.
[14]中华人民共和国行业标准编写组.人工冻土物理力学性能试验:MT/T 593.7-2011[S].北京:煤炭工业出版社,2011:2-3.The Professional Standards Compilation Group of People’s Republic of China.Artificial frozen soil physics mechanics performance test:MT/T 593.7-2011[S].Beijing:China Coal Industry Publishing House Press,2011:2-3.
[15]陈沅江,潘长良,曹平,等.软岩流变的一种新力学模型[J].岩土力学,2003,24(2):209-214.CHEN Yuanjiang,PAN Changliang,CAO Ping,et al.A new mechanical model for soft rock rheology[J].Rock and Soil Mechanics,2003,24(2):209-214.
[16]殷德顺,任俊娟,和成亮,等.一种新的岩土流变模型元件[J].岩石力学与工程学报,2007,26(9):1899-1903.YIN Deshun,REN Junjuan,HE Chengliang,et al.Anew rheological model element for geomaterials[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(9):1899-1903.
[17]王志方,张国忠,刘刚.采用分数阶导数描述胶凝原油的流变模型[J].中国石油大学学报,2008,32(2):114-118.WANG Zhifang,ZHANG Guozhong,LIU Gang.Adescription of rheological model for gelled crude oil using fractional order derivatives[J].Journal of China University of Petroleum,2008,32(2):114-118.
[18]张学言,闫澍旺.岩土塑性力学基础[M].天津:天津大学出版社,2006:31-48.ZHANG Xueyan,YAN Shuwang.Fundamentals of geotechnics plasticity[M].Tianjin:Tianjin University Press,2006:31-48.
[19]PERZYNA P.Fundamental problems in viscoplasticity[J].Advances in Applied Mechanics,1966,9(9):243-377.
[20]ZIENKIEWICZ O C,CORMEAU I C.Visco-plasticity-plasticity and creep in elastic solids-a unified numerical solution approach[J].International Journal for Numerical Methods in Engineering,1974,8(4):821-845.
[21]韦立德,杨春和,徐卫亚.基于细观力学的盐岩蠕变损伤本构模型研究[J].岩石力学与工程学报,2005,24(23):4253-4258.WEI Lide,YANG Chunhe,XU Weiya.Study on creep damage constitutive model of salt rock based on mesomechanics[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(23):4253-4258.
[22]沈才华,张兵,王媛,等.基于DP屈服准则的西原本构模型及其运用[J].地下空间与工程学报,2016,12(2):402-406.SHEN Caihua,ZHANG Bing,WANG Yuan,et al.The Nishihara constitutive model based on DruckerPrager yield criterion and its application[J].Chinese Journal of Underground Space and Engineering,2016,12(2):402-406.
[23]张先伟,王常明,张淑华.软土蠕变数据处理方法的对比分析[J].吉林大学学报(地球科学版),2010,40(6):1401-1408.ZHANG Xianwei,WANG Changming,ZHANGShuhua.Comparative analysis of soft clay creep data processing method[J].Journal of Jilin University(Earth Science Edition),2010,40(6):1401-1408.
[2]LI X C,YANG C L,REN T,et al.Creep behaviour and constitutive model of coal filled with gas[J].International Journal of Mining Science and Technology,2017,27(5):847-852.
[3]侯朝炯.深部巷道围岩控制的关键技术研究[J].中国矿业大学学报,2017,46(5):970-978.HOU Chaojiong.Key technologies for surrounding rock control in deep roadway[J].Journal of China U-niversity of Mining&Technology,2017,46(5):970-978.
[4]唐明明,王芝银,丁国生,等.含夹层盐岩蠕变特性试验及其本构关系[J].煤炭学报,2010,35(1):42-45.TANG Mingming,WANG Zhiyin,DING Guosheng,et al.Creep property experiment and constitutive relation of salt-mudstone interlayer[J].Journal of China Coal Society,2010,35(1):42-45.
[5]陈家瑞,浦海,肖成.基于分数阶理论的破碎泥岩流变模型试验研究[J].中国矿业大学学报,2015,44(6):996-1001.CHEN Jiarui,PU Hai,XIAO Cheng.Research on rheology model of broken mudstone based on the fractional theory[J].Journal of China University of Mining&Technology,2015,44(6):996-1001.
[6]张治亮,徐卫亚,王如宾,等.含弱面砂岩非线性黏弹塑性流变模型研究[J].岩石力学与工程学报,2011,30(增1):2634-2639.ZHANG Zhiliang,XU Weiya,WANG Rubin,et al.Study of nonlinear viscoelasto-plastic rheological model of sandstone with weak plane[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(Sup 1):2634-2639.
[7]李栋伟,汪仁和,范菊红.白垩系冻结软岩非线性流变模型试验研究[J].岩土工程学报,2011,33(3):398-403.LI Dongwei,WANG Renhe,FAN Juhong.Nonlinear rheological model for frozen soft rock during cretaceous period[J].Chinese Journal of Geotechnical Engineering,2011,33(3):398-403.
[8]徐卫亚,杨圣奇,褚卫江.岩石非线性黏弹塑性流变模型(河海模型)及其应用[J].岩石力学与工程学报,2006,25(3):433-447.XU Weiya,YANG Shengqi,CHU Weijiang.Nonlinear viscoelasto-plastic rheological model(Hohai Model)of rock and its engineering application[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(3):433-447.
[9]齐亚静,姜清辉,王志俭,等.改进西原模型的三维蠕变本构方程及其参数辨识[J].岩石力学与工程学报,2012,31(2):347-355.QI Yajing,JIANG Qinghui,WANG Zhijian,et al.3Dcreep constitutive equation of modified nishihara model and its parameters identification[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(2):347-355.
[10]杨圣奇,徐鹏.一种新的岩石非线性流变损伤模型研究[J].岩土工程学报,2014,36(10):1846-1854.YANG Shengqi,XU Peng.A new nonlinear rheological damage model for rock[J].Chinese Journal of Geotechnical Engineering,2014,36(10):1846-1854.
[11]由爽,张志超,纪洪广.岩石蠕变的热力学本构模型及应用分析[J].中国矿业大学学报,2016,45(3):507-513.YOU Shuang,ZHANG Zhichao,JI Hongguang.Athermodynamic constitutive model for creep behavior of rocks and its application[J].Journal of China U-niversity of Mining&Technology,2016,45(3):507-513.
[12]TSAI L S,HSIEH Y M,WENG M C,et al.Timedependent deformation behaviors of weak sandstones[J].International Journal of Rock Mechanics&Mining Sciences,2008,45(2):144-154.
[13]MISHRA B,VERMA P.Uniaxial and triaxial single and multistage creep tests on coal-measure shale rocks[J].International Journal of Coal Geology,2015,137:55-65.
[14]中华人民共和国行业标准编写组.人工冻土物理力学性能试验:MT/T 593.7-2011[S].北京:煤炭工业出版社,2011:2-3.The Professional Standards Compilation Group of People’s Republic of China.Artificial frozen soil physics mechanics performance test:MT/T 593.7-2011[S].Beijing:China Coal Industry Publishing House Press,2011:2-3.
[15]陈沅江,潘长良,曹平,等.软岩流变的一种新力学模型[J].岩土力学,2003,24(2):209-214.CHEN Yuanjiang,PAN Changliang,CAO Ping,et al.A new mechanical model for soft rock rheology[J].Rock and Soil Mechanics,2003,24(2):209-214.
[16]殷德顺,任俊娟,和成亮,等.一种新的岩土流变模型元件[J].岩石力学与工程学报,2007,26(9):1899-1903.YIN Deshun,REN Junjuan,HE Chengliang,et al.Anew rheological model element for geomaterials[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(9):1899-1903.
[17]王志方,张国忠,刘刚.采用分数阶导数描述胶凝原油的流变模型[J].中国石油大学学报,2008,32(2):114-118.WANG Zhifang,ZHANG Guozhong,LIU Gang.Adescription of rheological model for gelled crude oil using fractional order derivatives[J].Journal of China University of Petroleum,2008,32(2):114-118.
[18]张学言,闫澍旺.岩土塑性力学基础[M].天津:天津大学出版社,2006:31-48.ZHANG Xueyan,YAN Shuwang.Fundamentals of geotechnics plasticity[M].Tianjin:Tianjin University Press,2006:31-48.
[19]PERZYNA P.Fundamental problems in viscoplasticity[J].Advances in Applied Mechanics,1966,9(9):243-377.
[20]ZIENKIEWICZ O C,CORMEAU I C.Visco-plasticity-plasticity and creep in elastic solids-a unified numerical solution approach[J].International Journal for Numerical Methods in Engineering,1974,8(4):821-845.
[21]韦立德,杨春和,徐卫亚.基于细观力学的盐岩蠕变损伤本构模型研究[J].岩石力学与工程学报,2005,24(23):4253-4258.WEI Lide,YANG Chunhe,XU Weiya.Study on creep damage constitutive model of salt rock based on mesomechanics[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(23):4253-4258.
[22]沈才华,张兵,王媛,等.基于DP屈服准则的西原本构模型及其运用[J].地下空间与工程学报,2016,12(2):402-406.SHEN Caihua,ZHANG Bing,WANG Yuan,et al.The Nishihara constitutive model based on DruckerPrager yield criterion and its application[J].Chinese Journal of Underground Space and Engineering,2016,12(2):402-406.
[23]张先伟,王常明,张淑华.软土蠕变数据处理方法的对比分析[J].吉林大学学报(地球科学版),2010,40(6):1401-1408.ZHANG Xianwei,WANG Changming,ZHANGShuhua.Comparative analysis of soft clay creep data processing method[J].Journal of Jilin University(Earth Science Edition),2010,40(6):1401-1408.
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