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| PROPAGATION CHARACTERISTICS OF CYLINDRICAL
WAVE IN JOINT ROCK MASSES |
| CHAI Shaobo,LI Jianchun,LI Haibo |
(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 The interaction between rock joints and cylindrical waves,which frequently occurs in mining and underground construction,is crucial in rock engineering. Based on the conservation of momentum at the wave fronts and the displacement discontinuity method,quantitative analysis of interaction between incidently cylindrical longitudinal-wave(P-wave) and a linear elastic rock joint is carried out. The wave propagation equation is accordingly deduced. Due to the geometrical spreading,reduction of the wave energy at the wave front is analyzed. For the normal impacting and oblique impacting of the incident wave,the transmission and reflection coefficients obtained from the derived wave propagation equation agree very well with the results from the existing method. Then parametric studies are carried out to investigate the effects of the wave source distance,the density of explosion and the incident waveforms on wave propagation across a jointed rock mass.
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Received: 19 April 2013
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| [1] SCHOENBER G. Elastic wave behavior across linear slip interfaces[J]. Journal of the Acoustical Society of America,1980,68(5):1 516– 1 521.
[2] 王鲁明,赵 坚,华安增,等. 节理岩体中应力波传播规律研究的进展[J]. 岩土力学,2003,24(增1):602–606.(WANG Luming,ZHAO Jian,HUA Anzeng,et al. The progress in study of regularity of a stress wave propagation in the jointed rock mass[J]. Rock and Soil Mechanics,2003,24(Supp.1):602–606.(in Chinese))
[3] 张 奇. 应力波在节理处的传递过程[J]. 岩土工程学报,1986,8(6):99–105.(ZHANG Qi. Stress wave propagation in jointed at the delivery process[J]. Chinese Journal of Geotechnical Engineering,1986,8(6):99–105.(in Chinese))
[4] 王明洋,钱七虎. 爆炸应力波通过节理裂隙带的衰减规律[J]. 岩土工程学报,1995,17(2):42–46.(WANG Mingyang,QIAN Qihu. Attenuation law of explosive wave propagation in cracks[J]. Chinese Journal of Geotechnical Engineering,1995,17(2):42–46.(in Chinese))
[5] ZHAO J,CAI J G. Transmission of elastic P-wave across single fracture with a nonlinear normal deformation behavior[J]. Rock Mechanics and Rock Engineering,2001,34(1):3–22.
[6] 俞 缙,关云飞,肖 琳,等. 弹性纵波在不同非线性法向变形行为节理处的传播[J]. 解放军理工大学学报:自然科学版,2007,8(6):589–594. (YU Jin,GUAN Yunfei,XIAO Lin,et al. Transmission of elastic P-wave across single fracture with different nonlinear normal deformation behaviors[J]. Journal of PLA University of Science and Technology:Natural Science,2007,8(6):589–594.(in Chinese))
[7] 俞 缙,赵晓豹,赵维炳,等. 改进的岩石节理弹性非线性法向变形本构模型研究[J]. 岩土工程学报,2008,30(9):1 316–1 321.(YU Jin,ZHAO Xiaobao,ZHAO Weibing,et al. Improved nonlinear elastic constitutive model for normal deformation of rock fractures[J]. Chinese Journal of Geotechnical Engineering,2008,30(9):1 316–1 321.(in Chinese))
[8] 王礼立. 应力波基础[M]. 北京:国防工业出版社,2010:307–318. (WANG Lili. Foundation of stress wave[M]. Beijing:National Defense Industry Press,2010:307–318.(in Chinese))
[9] LI J C,MA G W. Analysis of blast wave interaction with a rock joint[J]. Rock Mechanics and Rock Engineering,2010,43(6):777–787.
[10] LI J C,MA G W,ZHOU Y X. Analytical study of underground explosion induced ground surface motion[J]. Rock Mechanics and Rock Engineering,2012,45(6):1 037–1 046.
[11] MYER L R,PYRAK-NOLTE L J,COOK N G W. Effects of single fractures on seismic wave propagation[C]// Proceedings of ISRM Symposium on Rock Joints. Rotterdam:A. A. Balkema,1990:467–473.
[12] DOWING C H. Construction vibration[M]. Englewood Cliffs,NJ:Prentice-Hall,1996:620.
[13] GU B L,SUÁREZ-RIVERA R,NIHEI K T,et al. Incidence of plane wave upon a fracture[J]. Journal of Geophysical Research,1996,101(B11):25 337–25 346. |
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