Study on mechanical properties and damage constitutive model of shale under hydro-mechanical coupling
LIU Baoguo1,YU Mingyuan1,SUN Jinglai2,HUANG Rui1,DENG Tingbang1
(1. School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China;
2. Beijing Municipal Engineering Research Institute,Beijing 100037,China)
Abstract:By the tests of shale under different water osmotic pressures and triaxial compression,the deformation,strength and failure characteristics of shale are analyzed,and a full stress-strain damage constitutive model of shale considering osmotic pressure is established. The results show that:(1) under the combined action of conventional triaxial compression and water seepage pressure,the strength of shale has obvious weakening effect,and its residual strength is more affected by seepage pressure. (2) Under the action of different confining pressures and water seepage pressures,five different shear failure forms are produced in shale from shear failure to tension shear composite failure and then to steep angle shear failure. (3) Under the combined action of conventional triaxial compression and water seepage pressure,the shale strength still meets the M-C strength criterion,but the internal friction angle and cohesion decrease with the increase of water seepage pressure. (4) A damage constitutive model that can reflect the whole stress-strain process of shale under different confining pressures and osmotic pressures is established,and the residual strength of shale can be predicted by the corresponding axial strain value at the inflection point of the total damage variable curve D=1. The theoretical curve is in good agreement with the test data.
刘保国1,于明圆1,孙景来2,黄 芮1,邓廷邦1. 水–力耦合作用下页岩力学特性及其损伤本构模型研究[J]. 岩石力学与工程学报, 2023, 42(5): 1041-1054.
LIU Baoguo1,YU Mingyuan1,SUN Jinglai2,HUANG Rui1,DENG Tingbang1. Study on mechanical properties and damage constitutive model of shale under hydro-mechanical coupling. , 2023, 42(5): 1041-1054.
[1] 曹文贵,赵明华,唐学军. 岩石破裂过程的统计损伤模拟研究[J]. 岩土工程学报,2003,25(2):184–187.(CAO Wengui,ZHAO Minghua,TANG Xuejun. Study on simulation of statistical damage in the full process of rock failure[J]. Chinese Journal of Geotechnical Engineering,2003,25(2):184–187.(in Chinese))
[2] 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 Wengui,ZHANG Sheng. Study on the statistical analysis of rock damage based on Mohr-Coulomb criterion[J]. Journal of Hunan University:Natural Science,2005,32(1):43–47.(in Chinese))
[3] 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 Weiya,Wei Lide. Study on statistical damage constitutive model of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(6):787–791.(in Chinese))
[4] 张 平,李 宁,贺若兰. 含裂隙类岩石材料的局部化渐进破损模型研究[J]. 岩石力学与工程学报,2006,25(10):2 043–2 050. (ZHANG Ping,LI Ning,HE Ruolan. Research on localized progressive damage model for fractured rocklike materials[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(10):2 043–2 050.(in Chinese))
[5] 李海潮,张 升. 基于修正Lemaitre应变等价性假设的岩石损伤模型[J]. 岩土力学,2017,38(5):1 321–1 326.(LI Haichao,ZHANG Sheng. A constitutive damage model of rock based on the assumption of modified Lemaitre strain equivalence hypothesis[J]. Rock and Soil Mechanics,2017,38(5):1 321–1 326.(in Chinese))
[6] FENG W L,QIAO C S,WANG T,et al. Strain-softening composite damage model of rock under thermal environment[J]. Bulletin of Engineering Geology and the Environment,2020,79:4 321–4 333.
[7] LIU Y,DAI F. A damage constitutive model for intermittent jointed rocks under cyclic uniaxial compression[J]. International Journal of Rock Mechanics Mining Sciences,2018,103:289–301.
[8] 张 超,白 允. 参数型岩石几何损伤模型的构建及其应用研究[J]. 岩土力学,2020,41(12):3 899–3 909.(ZHANG Chao,BAI Yun. Research on the establishment and application of parameter oriented geometric damage model for rocks[J]. Rock and Soil Mechanics,2020,41(12):3 899–3 909.(in Chinese))
[9] 康红普. 水对岩石的损伤[J]. 水文地质工程地质,1994,21(3):39–41.(KANG Hongpu. Water damage to rock[J]. Hydrogeology and Engineering Geology,1994,21(3):39–41.(in Chinese))
[10] 刘业科. 水岩作用下深部岩体的损伤演化与流变特性研究[M]. 长沙:中南大学,2012:70.(LIU Yeke. Damage evolution and rheological properties of deep rock mass under water rock interaction[M]. Changsha:Central South University,2012:70.(in Chinese))
[11] 李天斌,陈子全,陈国庆,等. 不同含水率作用下砂岩的能量机制研究[J]. 岩土力学,2015,36(增2):229–236.(LI Tianbin,CHEN Ziquan,CHEN Guoqing,et al. An experimental study of energy mechanism of sandstone with different moisture contents[J]. Rock and Soil Mechanics,2015,36(Supp.2):229–236.(in Chinese))
[12] 李波波,王忠晖,任崇鸿,等. 水–力耦合下煤岩力学特性及损伤本构模型研究[J]. 岩土力学,2021,42(2):315–323.(LI Bobo,WANG Zhonghui,REN Chonghong,et al. Mechanical properties and damage constitutive model of coal under the coupled hydro-mechanical effect[J]. Rock and Soil Mechanics,2021,42(2):315–323.(in Chinese))
[13] 周翠英,邓毅梅,谭祥韶. 饱水软岩力学性质软化的试验研究与应用[J]. 岩石力学与工程学报,2005,24(1):33–38.(ZHOU Cuiying,DENG Yimei,TAN Xiangshao,et al. Experimental research on the softening of mechanical properties of saturated soft rocks and application[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(1):33–38.(in Chinese))
[14] 杜宇翔,盛 谦,付晓东,等. 半成岩变形强度特征与损伤本构模型研究[J]. 岩石力学与工程学报,2020,39(2):239–250.(DU Yuxiang,SHENG Qian,FU Xiaodong,et al. Study on deformation and strength characteristics and damage constitutive model of semi-diagenetic rocks[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(2):239–250.(in Chinese))
[15] ZHU W,LIU L,LIU J,et al. Impact of gas adsorption-induced coal damage on the evolution of coal permeability[J]. International Journal of Rock Mechanics Mining Sciences,2018,101:89–97.
[16] 王 伟,田振元,朱其志,等. 考虑孔隙水压力的岩石统计损伤本构模型研究[J]. 岩石力学与工程学报,2015,34(增2):3 676–3 682. (WANG Wei,TIAN Zhengyuan,ZHU Qizhi,et al. The study of the statistical damage constitutive model of rock considering the pore water pressure[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(Supp.2):3 676–3 682.(in Chinese))
[17] BIENIAWSKI Z T. Mechanism of brittle fracture of rock,Part II[J]. International Journal of Rock Mechanics and Mining sciences and Geomechanics Abstracts,1967,4(4):407–423.
[18] CAI M,KAISER P K,TASAKA Y,et al. Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations[J]. International Journal of Rock Mechanics and Mining Sciences,2004,41(5):833–847.
[19] GOKTAN R M,YILMAZ N G,METALLURGY. A new methodology for the analysis of the relationship between rock brittleness index and drag pick cutting efficiency[J]. Journal South African Institute of Mining,2005,105(10):727–732.
[20] LEMAITRE J. How to use damage mechanics[J]. Nuclear Engineering and Design,1984,80(2):233–245.
[21] 沈珠江. 结构性黏土的弹塑性损伤模型[J]. 岩土工程学报,1993,15(3):21–28.(SHEN Zhujiang. Elastic-plastic damage model of structural clay[J]. Chinese Journal of Geotechnical Engineering,1993,15(3):21–28.(in Chinese))
[22] 曹文贵,赵 衡,张永杰,等. 考虑体积变化影响的岩石应变软硬化损伤本构模型及参数确定方法[J]. 岩土力学,2011,32(3):647–654.(CAO Wengui,ZHAO Heng,ZHANG Yongjie,et al. Strain softening and hardening damage constitutive model for rock considering effect of volume change and its parameters determination method[J]. Rock and Soil Mechanics,2011,32(3):647–654.(in Chinese))
[23] 曹文贵,赵 衡,李 翔,等. 基于残余强度变形阶段特征的岩石变形全过程统计损伤模拟方法[J]. 土木工程学报,2012,45(6):139–145.(CAO Wengui,ZHAO Heng,LI Xiang,et al. A statistical damage simulation method for rock full deformation process with consideration of the deformation characteristics of residual strength phase[J]. China Civil Engineering Journal,2012,45(6):139–145.(in Chinese))
[24] 高 磊. 矿山岩石力学[M]. 北京:机械工业出版社,1987:64.(GAO Lei. Mine rock mechanics[M]. Beijing:China Machine Press,1987:64.(in Chinese))
[25] 曹文贵,张 超,贺 敏,等. 考虑空隙压密阶段特征的岩石应变软化统计损伤模拟方法[J]. 岩土工程学报,2016,38(10):1 754–1 761.(CAO Wengui,ZHANG Chao,HE Min,et al. Statistical damage simulation method of strain softening deformation process for rocks considering characteristics of void compaction stage[J]. Chinese Journal of Geotechnical Engineering,2016,38(10):1 754–1 761.(in Chinese))
[26] 曹文贵,李 翔,刘 峰. 裂隙化岩体应变软化损伤本构模型探讨[J]. 岩石力学与工程学报,2007,26(12):2 488–2 494.(CAO Wengui,LI Xiang,LIU Feng. Discussion on a strain softening damage constitutive model for fissured rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(12):2 488–2 494.(in Chinese))
[27] ASEF M R,REDDISH D J. The impact of confining stress on the rock mass deformation modulus[J]. Géotechnique,2002,52(4):235–241.
[28] DENG J,GU D. On a statistical damage constitutive model for rock materials[J]. Computers and Geosciences,2011,37(2):122–128.
[29] ZLW A,YCL A,JGW B. A damage-softening statistical constitutive model considering rock residual strength-ScienceDirect[J]. Computers and Geosciences,2007,33(1):1–9.
[30] ZHOU G L,THAM L G,LEE P,et al. A phenomenological constitutive model for rocks with shear failure mode[J]. International Journal for Numerical Analytical Methods in Geomechanics,2001,25(4):391–414.
[31] 杨红伟. 循环载荷作用下岩石与孔隙水耦合作用机制研究[博士学位论文][D]. 重庆:重庆大学,2011.(YANG Hongwei. Study on coupling mechanism of rock and pore water under cyclic loading[Ph. D. Thesis][D]. Chongqing:Chongqing University,2011.(in Chinese))