高温三维应力下花岗岩三维蠕变的模型研究
|
摘要
采用中国矿业大学的"20MN高温高压岩体三轴试验机"进行高温三维应力下大尺寸φ200mm×400mm鲁灰花岗岩蠕变特性的试验研究,温度最高达600℃,轴向应力最高达175MPa。研究发现:(1)三维应力条件下鲁灰花岗岩300℃,500℃的轴向蠕变和300℃,500℃,600℃的体积蠕变变形均可划分为:瞬态蠕变阶段、稳态蠕变阶段和加速蠕变阶段。(2)高温三维应力条件下,鲁灰花岗岩试样的体积、长度和半径随蠕变时间的增加出现增长,这是因为热破裂引起岩石的内部产生了大量的微裂纹,同时还发现试样的侧向比轴向变形增长的速度变形快。(3)以试验结果为依据将静水应力引发体积蠕变,差应力引发轴向蠕变作为三维应力状态下黏弹塑性问题的假设,导出三维应力条件下Burgers体模型体积蠕变的本构方程。(4)通过对蠕变曲线的分析发现,可以用Burgers体模型来模拟鲁灰花岗岩300℃,500℃的轴向蠕变和300℃,500℃,600℃的体积蠕变,并且求出模型的参数。
By making use of the 20 MN servo-controlled triaxial rock testing machine with high temperature and high pressure of China University of Mining and Technology,the experimental studies of creep properties of large-size granite specimens of φ 200 mm×400 mm with temperature up to 600 ℃ and axial stress up to 175 MPa are carried out. This research reveals:(1) Under three-dimensional stress,the axial creep deformation at 300 ℃ and 500 ℃ and volumetric creep deformation at 300 ℃,500 ℃ and 600 ℃ of Lu Gray granite show three stages:primary creep stage,stable-state creep stage and accelerating creep stage. (2) Under high temperature and 3D stress,the volume,length and radius of Lu Gray granite increase with time because of fissure caused by thermal cracking in rock. The lateral deformation was more rapid than axial deformation at the same time. (3) It′s the basic hypothesis of visco-elastoplastic problem under three-dimensional stress that differential stress causes axial creep;hydrostatic stress causes volumetric creep deformation based on experimental data;and the volumetric creep constitutive equation of Burgers model under three-dimensional stress is also proposed. (4) Through the analysis of creep curve,it′s proper to simulate axial creep at 300 ℃ and 500 ℃ and volumetric creep at 300 ℃,500 ℃ and 600 ℃ with Burgers model and to calculate model parameters.
By making use of the 20 MN servo-controlled triaxial rock testing machine with high temperature and high pressure of China University of Mining and Technology,the experimental studies of creep properties of large-size granite specimens of φ 200 mm×400 mm with temperature up to 600 ℃ and axial stress up to 175 MPa are carried out. This research reveals:(1) Under three-dimensional stress,the axial creep deformation at 300 ℃ and 500 ℃ and volumetric creep deformation at 300 ℃,500 ℃ and 600 ℃ of Lu Gray granite show three stages:primary creep stage,stable-state creep stage and accelerating creep stage. (2) Under high temperature and 3D stress,the volume,length and radius of Lu Gray granite increase with time because of fissure caused by thermal cracking in rock. The lateral deformation was more rapid than axial deformation at the same time. (3) It′s the basic hypothesis of visco-elastoplastic problem under three-dimensional stress that differential stress causes axial creep;hydrostatic stress causes volumetric creep deformation based on experimental data;and the volumetric creep constitutive equation of Burgers model under three-dimensional stress is also proposed. (4) Through the analysis of creep curve,it′s proper to simulate axial creep at 300 ℃ and 500 ℃ and volumetric creep at 300 ℃,500 ℃ and 600 ℃ with Burgers model and to calculate model parameters.
引文
[1]CARTER N L.Mechanical and transport properties of rocks at high temperatures and pressures.task I.the physical nature of fracturing at depth[R].[S.l.]:[s.n.],1981.
[2]HANSEN F R.Semibrittle creep of selected crustal rocks at1000MPa[M.S.Thesis][D].Texas:Texas A and M University,1982.
[3]王红伟,王希良,彭苏萍,等.软岩巷道围岩流变特性试验研究[J].地下空间,2001,21[5]:361–374.[WANG Hongwei,WANG Xiliang,PENG Suping,et al.Experimental study on rheological properties of surrounding rock mass[J].Underground Space,2001,21[5]:361–374.[in Chinese]]
[4]陈渠,西田和范,岩本健,等.沉积软岩的三轴蠕变试验研究及分析评价[J].岩石力学与工程学报,2003,22[6]:905–912.[CHEN Qu,NISHIDA K,TAKESHI I,et al.Creep behavior of sedimentary soft rock under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2003,22[6]:905–912.[in Chinese]]
[5]张向东,李永靖,张树光,等.软岩蠕变理论及其工程应用[J].岩石力学与工程学报,2004,23[10]:1635–1639.[ZHANG Xiangdong,LI Yongjing,ZHANG Shuguang,et al.Creep theory of soft rock and its engineering application[J].Chinese Journal of Rock Mechanics and Engineering,2004,23[10]:1635–1639.[in Chinese]]
[6]范庆忠,李术才,高延法.软岩三轴蠕变特性的试验研究[J].岩石力学与工程学报,2007,26[7],1381–1386.[FAN Qingzhong,LI Shucai,GAO Yanfa.Experimental study on creep properties of soft rock under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2007,26[7]:1381–1386.[in Chinese]]
[7]陈宗基,石泽全,于智海,等.用8000kN多功能三轴仪测量脆性岩石的扩容、蠕变及松弛[J].岩石力学与工程学报,1989,8[2]:97–118.[TAN Tjongkie,SHI Zequan,YU Zhihai,et al.Dilatancy,creep and relaxation of brittle rocks measured with8000kN multipurpose triaxial apparatus[J].Chinese Journal of Rock Mechanics and Engineering,1989,8[2]:97–118.[in Chinese]]
[8]YANG C H,DAEMEN J J.Temperature effects on creep of tuff and its time-dependent damage analysis[J].International Journal of Rock Mechanics and Mining Sciences,1997,34[3/4]:383–384.
[9]周维垣.高等岩石力学[M].北京:水利电力出版社,1990.[ZHOU Weiyuan.Advanced rock mechanics[M].Beijing:Water Resources and Electric Power Press,1990.[in Chinese]]
[10]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.Rheology and its engineering application of rock and soil materials[M].Beijing:China Architecture and Building Press,1999.[in Chinese]]
[11]周德培.流变力学原理及其在岩土工程中的应用[M].成都:西南交通大学出版社,1995.[ZHOU Depei.Principle of rheology mechanics and its application to rock and soil engineering[M].Chengdu:Southwest Jiaotong University Press,1995.[in Chinese]]
[12]赵阳升,万志军,张渊,等.20MN伺服控制高温高压岩体三轴试验机的研制[J].岩石力学与工程学报,2008,27[1]:1–8.[ZHAO Yangsheng,WAN Zhijun,ZHANG Yuan,et al.Research and development of20MN servo-controlled rock triaxial testing system with high temperature and high pressure[J].Chinese Journal of Rock Mechanics and Engineering,2008,27[1]:1–8.[in Chinese]]
[13]张宁,陈国文,刘静波,等.鲁灰花岗岩蠕变特征转变温度门槛值的试验研究[J].太原理工大学学报,2009,40[1]:78–81.[ZHANG Ning,CHEN Guowen,LIU Jingbo,et al.Experimental study on temperature threshold value of creep property transition in Lu Gray granite[J].Journal of Taiyuan University of Technology,2009,40[1]:78–81.[in Chinese]]
[14]席道瑛.花岗岩中矿物相变的物性特征[J].矿物学报,1994,14[3]:223–228.[XI Daoying.Physical characteristics of mineral phase transition in the granite[J].Acta Mineralogica Sinica,1994,14[3]:223–228.[in Chinese]]
[15]陶振宇,潘别桐.岩石力学原理与方法[M].武汉:中国地质大学出版社,1991.[TAO Zhenyu,PAN Bietong.Theory and method of rock mechanics[M].Wuhan:China University of Geosciences Press,1991.[in Chinese]]
[16]陈宗基,康文法.在岩石破坏和地震之前与时间有关的扩容[J].岩石力学与工程学报,1983,2[1]:12–23.[TAN Tjongkie,KANG Wenfa.Time-dependent dilatancy prior to rock failure and earthquakes[J].Chinese Journal of Rock Mechanics and Engineering,1983,2[1]:12–23.[in Chinese]]
[17]陈宗基.岩爆的工程实录、理论与控制[J].岩石力学与工程学报,1987,6[1]:1–18.[TAN Tjongkie.Rockbursts,case records,theory and control[J].Chinese Journal of Rock Mechanics and Engineering,1987,6[1]:1–18.[in Chinese]]
[18]尹祥础.固体力学[M].北京:地震出版社,1985.[YIN Xiangchu.Solid mechanics[M].Beijing:Earthquake Press,1985.[in Chinese]]
[19]沈振中,徐志英.三峡大坝地基花岗岩蠕变试验研究[J].河海大学学报[自然科学版],1997,25[2]:1–7.[SHEN Zhenzhong,XU Zhiying.Creep test of granite for the Three Gorges dam foundation[J].Journal of Hohai University[Natural Science],1997,25[2]:1–7.[in Chinese]]
[2]HANSEN F R.Semibrittle creep of selected crustal rocks at1000MPa[M.S.Thesis][D].Texas:Texas A and M University,1982.
[3]王红伟,王希良,彭苏萍,等.软岩巷道围岩流变特性试验研究[J].地下空间,2001,21[5]:361–374.[WANG Hongwei,WANG Xiliang,PENG Suping,et al.Experimental study on rheological properties of surrounding rock mass[J].Underground Space,2001,21[5]:361–374.[in Chinese]]
[4]陈渠,西田和范,岩本健,等.沉积软岩的三轴蠕变试验研究及分析评价[J].岩石力学与工程学报,2003,22[6]:905–912.[CHEN Qu,NISHIDA K,TAKESHI I,et al.Creep behavior of sedimentary soft rock under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2003,22[6]:905–912.[in Chinese]]
[5]张向东,李永靖,张树光,等.软岩蠕变理论及其工程应用[J].岩石力学与工程学报,2004,23[10]:1635–1639.[ZHANG Xiangdong,LI Yongjing,ZHANG Shuguang,et al.Creep theory of soft rock and its engineering application[J].Chinese Journal of Rock Mechanics and Engineering,2004,23[10]:1635–1639.[in Chinese]]
[6]范庆忠,李术才,高延法.软岩三轴蠕变特性的试验研究[J].岩石力学与工程学报,2007,26[7],1381–1386.[FAN Qingzhong,LI Shucai,GAO Yanfa.Experimental study on creep properties of soft rock under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2007,26[7]:1381–1386.[in Chinese]]
[7]陈宗基,石泽全,于智海,等.用8000kN多功能三轴仪测量脆性岩石的扩容、蠕变及松弛[J].岩石力学与工程学报,1989,8[2]:97–118.[TAN Tjongkie,SHI Zequan,YU Zhihai,et al.Dilatancy,creep and relaxation of brittle rocks measured with8000kN multipurpose triaxial apparatus[J].Chinese Journal of Rock Mechanics and Engineering,1989,8[2]:97–118.[in Chinese]]
[8]YANG C H,DAEMEN J J.Temperature effects on creep of tuff and its time-dependent damage analysis[J].International Journal of Rock Mechanics and Mining Sciences,1997,34[3/4]:383–384.
[9]周维垣.高等岩石力学[M].北京:水利电力出版社,1990.[ZHOU Weiyuan.Advanced rock mechanics[M].Beijing:Water Resources and Electric Power Press,1990.[in Chinese]]
[10]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.Rheology and its engineering application of rock and soil materials[M].Beijing:China Architecture and Building Press,1999.[in Chinese]]
[11]周德培.流变力学原理及其在岩土工程中的应用[M].成都:西南交通大学出版社,1995.[ZHOU Depei.Principle of rheology mechanics and its application to rock and soil engineering[M].Chengdu:Southwest Jiaotong University Press,1995.[in Chinese]]
[12]赵阳升,万志军,张渊,等.20MN伺服控制高温高压岩体三轴试验机的研制[J].岩石力学与工程学报,2008,27[1]:1–8.[ZHAO Yangsheng,WAN Zhijun,ZHANG Yuan,et al.Research and development of20MN servo-controlled rock triaxial testing system with high temperature and high pressure[J].Chinese Journal of Rock Mechanics and Engineering,2008,27[1]:1–8.[in Chinese]]
[13]张宁,陈国文,刘静波,等.鲁灰花岗岩蠕变特征转变温度门槛值的试验研究[J].太原理工大学学报,2009,40[1]:78–81.[ZHANG Ning,CHEN Guowen,LIU Jingbo,et al.Experimental study on temperature threshold value of creep property transition in Lu Gray granite[J].Journal of Taiyuan University of Technology,2009,40[1]:78–81.[in Chinese]]
[14]席道瑛.花岗岩中矿物相变的物性特征[J].矿物学报,1994,14[3]:223–228.[XI Daoying.Physical characteristics of mineral phase transition in the granite[J].Acta Mineralogica Sinica,1994,14[3]:223–228.[in Chinese]]
[15]陶振宇,潘别桐.岩石力学原理与方法[M].武汉:中国地质大学出版社,1991.[TAO Zhenyu,PAN Bietong.Theory and method of rock mechanics[M].Wuhan:China University of Geosciences Press,1991.[in Chinese]]
[16]陈宗基,康文法.在岩石破坏和地震之前与时间有关的扩容[J].岩石力学与工程学报,1983,2[1]:12–23.[TAN Tjongkie,KANG Wenfa.Time-dependent dilatancy prior to rock failure and earthquakes[J].Chinese Journal of Rock Mechanics and Engineering,1983,2[1]:12–23.[in Chinese]]
[17]陈宗基.岩爆的工程实录、理论与控制[J].岩石力学与工程学报,1987,6[1]:1–18.[TAN Tjongkie.Rockbursts,case records,theory and control[J].Chinese Journal of Rock Mechanics and Engineering,1987,6[1]:1–18.[in Chinese]]
[18]尹祥础.固体力学[M].北京:地震出版社,1985.[YIN Xiangchu.Solid mechanics[M].Beijing:Earthquake Press,1985.[in Chinese]]
[19]沈振中,徐志英.三峡大坝地基花岗岩蠕变试验研究[J].河海大学学报[自然科学版],1997,25[2]:1–7.[SHEN Zhenzhong,XU Zhiying.Creep test of granite for the Three Gorges dam foundation[J].Journal of Hohai University[Natural Science],1997,25[2]:1–7.[in Chinese]]
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心