应力波斜入射黏弹性节理的传播规律
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摘要
应力波在岩体中传播规律的研究是岩石动力学的重要课题之一。基于应力和位移皆不连续的假定,针对充填节理的黏弹性特性,建立P波和S波斜入射单个充填节理的频域形式的透反射系数方程组。通过数值计算和参数分析,进而讨论入射角、入射波频率以及节理刚度等参数对应力波斜入射充填节理透反射规律的影响,而入射波参数和充填节理动态特性参数的合理选取是确定透反射系数的关键。
The study of stress wave propagation in rock mass is an important topic in rock mechanics.Based on the assumption of displacement and stress discontinuity,for the visco-elastic behavior of filled joint,the transmission and reflection coefficient equations of P-wave and S-wave in the frequency domain are respectively derived.By numerical calculation and parameter analysis,the impact of parameters on the law of stress wave propagation is studied,such as the incident angle,the incident wave frequency and joint stiffness.Reasonable parameters selections of incident wave and filled joint have significant effects on the determination of transmission and reflection coefficient.
The study of stress wave propagation in rock mass is an important topic in rock mechanics.Based on the assumption of displacement and stress discontinuity,for the visco-elastic behavior of filled joint,the transmission and reflection coefficient equations of P-wave and S-wave in the frequency domain are respectively derived.By numerical calculation and parameter analysis,the impact of parameters on the law of stress wave propagation is studied,such as the incident angle,the incident wave frequency and joint stiffness.Reasonable parameters selections of incident wave and filled joint have significant effects on the determination of transmission and reflection coefficient.
引文
[1]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:NationalDefense Industry Press,2010:307–318.(in Chinese))
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[4]CAI J G,ZHAO J.Effects of multiple parallel fractures on apparentattenuation of stress waves in rock masses[J].International Journal ofRock Mechanics and Mining Sciences,2000,37(4):661–682.
[5]ZHAO X B,ZHAO J,CAI J G.P-wave transmission across fractureswith nonlinear deformational behaviour[J].International Journal forNumerical and Analytical Methods in Geomechanics,2006,30(11):1 097–1 112.
[6]LI J C,MA G W,ZHAO J.An equivalent viscoelastic model for rockmass with parallel joints[J].Journal of Geophysical Research,2010,115:B03305
[7]LI J C,LI H B,MA G W,et al.A time-domain recursive method toanalyse transient wave propagation across rock joints[J].GeophysicalJournal International,2012,188(2):631–644.
[8]SCHOENBERG M.Elastic wave behavior across linear slipinterfaces[J].Journal of the Acoustical Society of America,1980,68(5):1516–1521.
[9]ZHU J B,PERINO A,ZHAO G F,et al.Seismic response of a singleand a set of filled joints of viscoelastic deformational behaviour[J].Geophysical Journal International,2011,186(3):1 315–1 330.
[10]ZHAO J,CAI J G,ZHAO XB,et al.Dynamic model of fracturenormal behavior and application to prediction of stress waveattenuation across fractures[J].Rock Mechanics and Rock Engineering,2008,41(5):671–693.
[11]JAFARI M K,PELLET F,BOULON M,et al.Experimental study ofmechanical behaviour of rock joints under cyclic loading[J].RockMechanics and Rock Engineering,2004,37(1):3–23.
[2]PYRAK-NOLTE L J,MYER L R,COOK N G W.Anisotropy inseismic velocities and amplitudes from multiple parallel fractures[J].Journal of Geophysical Research,1990,95(B7):11 345–11 358.
[3]COOK N G W.Natural joint in rock:mechanical,hydraulic andseismic behaviour and properties under normal stress[J].InternationalJournal of Rock Mechanics and Mining Sciences and GeomechanicsAbstracts,1992,29(3):198–223.
[4]CAI J G,ZHAO J.Effects of multiple parallel fractures on apparentattenuation of stress waves in rock masses[J].International Journal ofRock Mechanics and Mining Sciences,2000,37(4):661–682.
[5]ZHAO X B,ZHAO J,CAI J G.P-wave transmission across fractureswith nonlinear deformational behaviour[J].International Journal forNumerical and Analytical Methods in Geomechanics,2006,30(11):1 097–1 112.
[6]LI J C,MA G W,ZHAO J.An equivalent viscoelastic model for rockmass with parallel joints[J].Journal of Geophysical Research,2010,115:B03305
[7]LI J C,LI H B,MA G W,et al.A time-domain recursive method toanalyse transient wave propagation across rock joints[J].GeophysicalJournal International,2012,188(2):631–644.
[8]SCHOENBERG M.Elastic wave behavior across linear slipinterfaces[J].Journal of the Acoustical Society of America,1980,68(5):1516–1521.
[9]ZHU J B,PERINO A,ZHAO G F,et al.Seismic response of a singleand a set of filled joints of viscoelastic deformational behaviour[J].Geophysical Journal International,2011,186(3):1 315–1 330.
[10]ZHAO J,CAI J G,ZHAO XB,et al.Dynamic model of fracturenormal behavior and application to prediction of stress waveattenuation across fractures[J].Rock Mechanics and Rock Engineering,2008,41(5):671–693.
[11]JAFARI M K,PELLET F,BOULON M,et al.Experimental study ofmechanical behaviour of rock joints under cyclic loading[J].RockMechanics and Rock Engineering,2004,37(1):3–23.