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| WAVE VELOCITY AND DAMAGE DEVELOPMENT OF ROCK |
| ZHANG Guokai,LI Haibo,XIA Xiang,LI Junru |
| (State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China) |
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Abstract Variation of wave velocity with stress in rock is very significant for the study of damage development. Nine different models were set with the particle flow code(PFC) to simulate the processes of wave propagation and attenuation,in which a velocity pulse was applied to the transmitter and the average velocity was recorded with the receiver. It was revealed that the coordination number was in linear relationship with the porosity. The branch vector distribution was directly related to the amplitude attenuation. Moreover,the wave velocity was mostly affected by the porosity,coordination number tensor and stiffness tensor. The stress-strain process was simulated under biaxial compression to explore the wave propagation. The micro cracks were mainly distributed along the axial direction. In comparison with the shear cracks,the angles between the dominant orientation of the tensile cracks and axis are smaller. With the increase of micro cracks,the anisotropic degree of wave velocity and the distribution of branch vector increased gradually. It was proved that the intrinsic reasons of the velocity variation were the formation of new contacts,the breakage of bonds and the separation of contacts. The wave velocity was essentially consistent with the square root of the corresponding component of stiffness tensor. It was a new method to quantify the damage and wave velocity through analyzing the stiffness tensor and branch vector distribution,which provided reference for the study of damage development.
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| [1] 赵明阶,吴德伦. 单轴加载条件下岩石声学参数与应力的关系研究[J]. 岩石力学与工程学报,1999,18(1):50–54.(ZHAO Mingjie,WU Delun. Ultrasonic velocity and attenuation of rock under uniaxial loading[J]. Chinese Journal of Rock Mechanics and Engineering,1999,18(1):50–54.(in Chinese))
[2] 赵明阶,徐 蓉. 岩石损伤特性与强度的超声波速研究[J]. 岩土工程学报,2000,22(6):720–722.(ZHAO Mingjie,XU Rong. The rock damage and strength study based on ultrasonic velocity[J]. Chinese Journal of Geotechnical Engineering,2000,22(6):720–722.(in Chinese))
[3] WANG Z L,LI Y C,WANG J G. A method for evaluating dynamic tensile damage of rock[J]. Engineering Fracture Mechanics,2008,75(10):2 812–2 825.
[4] BIRCH F. The velocity of compressional waves in rocks to 10 kilobars,Part 1[J]. Journal of Geophysical Research,1960,65(4): 1 083–1 102.
[5] 高龙生,葛焕称. 中国大陆岩石标本在高压下的弹性波速的初步研究[J]. 地球物理学报,1975,18(1):26–38.(GAO Longsheng,GE Huancheng. A preliminary study of P and S wave velocities under high pressure of rock samples from the mainland of China[J]. Chinese Journal of Geophysics,1975,18(1):26–38.(in Chinese))
[6] HOLT R M,KJØLAAS J,LARSEN I,et al. Comparison between controlled laboratory experiments and discrete particle simulations of the mechanical behaviour of rock[J]. International Journal of Rock Mechanics and Mining Sciences,2005,42(7/8):985–995.
[7] LI L,HOLT R M. Particle scale reservoir mechanics[J]. Oil and Gas Science and Technology,2002,57(5):525–538.
[8] THILL R E,BUR T R,STECKLEY R C. Velocity anisotropy in dry and saturated rock spheres and its relation to rock fabric[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1973,10(6):535–557.
[9] 赵明阶. 二维应力场作用下岩体弹性波速与衰减特性研究[J]. 岩石力学与工程学报,2007,26(1):123–130.(ZHAO Mingjie. Study on wave velocity and attenuation of rock mass in 2D stresses field[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(1):123–130.(in Chinese))
[10] TRENT B C,MARGOLIN L G. A numerical laboratory for granular solids[J]. Engineering computations,1992,9(2):191–197.
[11] SADD M H,GAO J. SHUKLA A. Numerical analysis of wave propagation through assemblies of elliptical particles[J]. Computers and Geotechnics,1997,20(3/4):323–343.
[12] SADD M H,ADHIKARI G,CARDOSO F. DEM simulation of wave propagation in granular materials[J]. Powder Technology,2000,109(1/3):222–233.
[13] DIGBY P J. The effective elastic moduli of porous granular rocks[J]. Journal of Applied Mechanics,1981,48(4):803–808.
[14] 韩学辉,郭俊鑫,李峰弼,等. 连续胶结声速理论胶结半径表达式的一般性推广及应用[J]. 地球物理学报,2014,57(7):2 235–2 243. (HAN Xuehui,GUO Junxin,LI Fengbi,et al. Generalization of the expression of cementation radius in contact cement theory and its application[J]. Chinese Journal of Geophysics,2014,57(7):2 235– 2 243.(in Chinese))
[15] CONSTANTINE N T,SOPHIA P B,GEORGE M. Wave dispersion in dry granular materials by the distinct element method[J]. Soil Dynamics and Earthquake Engineering,2009,29(5):888–897.
[16] TAI Q M,SADD M H. A discrete element study of the relationship of fabric to wave propagationl behaviours in granular materials[J]. International Journal for Numerical and Analytical Methods in Geomechanics,1997,21(5):295–311.
[17] 孟召平,张吉昌,JOACHIM Tiedemann. 煤系岩石物理力学参数与声波速度之间的关系[J]. 地球物理学报,2006,49(5):1 505–1 510. (MENG Zhaoping,ZHANG Jichang,JOACHIM Tiedemann. Relationship between physical and mechanical parameters and acoustic wave velocity of coal measures rocks[J]. Chinese Journal of Geophysics,2006,49(5):1 505–1 510.(in Chinese))
[18] HAZZARD J F. YOUNG R P. Numerical investigation of induced cracking and seismic velocity changes in brittle rock[J]. Geophysical Research Letters,2004,31(1):L01604.
[19] POTYONDY D O,CUNDALL P A. A bonded-particle model for rock[J]. International Journal of Rock Mechanics and Mining Sciences,2004,41(8):1 329–1 364.
[20] Itasca Consulting Group Inc.. PFC2D(particle flow code in 2 dimensions) theory and background[R]. Minnesota,USA:Itasca Consulting Group Inc.,2002.
[21] 徐小敏,凌道盛,黄 博,等. 离散元模拟中颗粒材料剪切波速的剪切振动确定方法[J]. 岩土工程学报,2011,33(9):1 462–1 468. (XU Xiaomin,LING Daosheng,HUANG Bo,et al. Determination of shear wave velocity in granular materials by shear vibration within discrete element simulation[J]. Chinese Journal of Geotechnical Engineering,2011,33(9):1 462–1 468.(in Chinese))
[22] ODA M. Coordination number and its relation to shear strength of granular material[J]. Soils and Foundations,1977,17(2):29–42.
[23] CHO N,MARTIN C D,SEGO D C. A clumped particle model for rock[J]. International Journal of Rock Mechanics and Mining Sciences,2007,44(7):997–1 010. |
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