结构面尺度对应力波衰减影响的研究进展
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摘要
岩体结构面是影响应力波衰减的最主要因素,但不同尺度结构面对应力波衰减的影响特性不同,因而应根据结构面尺度特性采用不同方法研究。岩体中小尺度结构面数量众多,单一结构面对应力波衰减无明显影响,采用等效介质法研究是有效的。中、大尺度的结构面数量较少,单一结构面使应力波衰减发生较明显变化,应在建立单一结构面的传播和衰减特性模型的基础上,分析应力波的特征频率变化和频谱偏移规律与岩体结构的关系,采用应力波时空衰减相结合的方法研究多结构面耦合作用对应力波衰减的影响规律。
Interface of rock mass is one of the most influential factors to stress wave attenuation.However,different dimension interfaces have different effect on stress wave attenuation.Therefore,study method should be adopted according to the real interfaces dimension.There are numerous medium and small scale interfaces contained in rock mass.A single interface has not obvious influence to stress wave attenuation.The effective-medium theory is apt to analyze the stress wave attenuation in rock mass containing many small scale interfaces.The single interface of rock mass containing mesoscale and large scale interfaces has obvious effect on stress wave attenuation.The relationship between characteristic of stress wave frequency variation and spectrum migration rule and rock mass structure are analyzed.The paper studies the influence rule of coupling of multiple interfaces to stress wave attenuation by the method of combining time attenuation and space attenuation.
Interface of rock mass is one of the most influential factors to stress wave attenuation.However,different dimension interfaces have different effect on stress wave attenuation.Therefore,study method should be adopted according to the real interfaces dimension.There are numerous medium and small scale interfaces contained in rock mass.A single interface has not obvious influence to stress wave attenuation.The effective-medium theory is apt to analyze the stress wave attenuation in rock mass containing many small scale interfaces.The single interface of rock mass containing mesoscale and large scale interfaces has obvious effect on stress wave attenuation.The relationship between characteristic of stress wave frequency variation and spectrum migration rule and rock mass structure are analyzed.The paper studies the influence rule of coupling of multiple interfaces to stress wave attenuation by the method of combining time attenuation and space attenuation.
引文
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[7]Ikele T,Yung S K,Daube F.2-D random media with ellipsoidalautocorrelation functions[J].Geophysics,1993,58(9):1359-1372.
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[9]刘炯,巴晶,马坚伟,等.随机孔隙介质中地震波衰减分析[J].中国科学:物理学力学天文学,2010,40:858-868.
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[12]Wenzlau F,Müller T M.Finite-difference modeling of wavepropagation and diffusion in poroelastic media[J].Geophysics,2009,74(4):T55-T66.
[13]符力耘.地震波探测地质构造复杂性的定量分析方法[J].中国科学D辑:地球科学,2009,39(9):1179-1190.
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[15]刘永贵,徐松林,席道瑛,等.节理玄武岩体弹性波频散效应研究[J].岩石力学与工程学报,2010,29(增1):3314-3320.
[16]Masson Y J,pride S R.Finite-difference modeling of biot's po-roelastic equations across all frequency[J].Geophysics,2010,75(2):N33-N41.
[17]Sato H.研究随机非均匀岩石层中尾波激发和振幅衰减的统一方法[M]//地震波的散射与衰减.孙福梁译.北京:地震出版社,1993:95-118.
[18]张培震,徐锡伟,闻学泽,等.2008年汶川8.0级地震发震断裂的滑动速率、复发周期和构造成因[J].地球物理学报,2008,51(4):1066-1073.
[19]黄玉龙,郑斯华,刘杰,等.广东地区地震衰减和场地响应的研究[J].地球物理学报,2003,46(1):54-61.
[20]华卫,赵翠萍,陈章立,等.龙滩水库地区P波、S波和尾波衰减[J].地震学报,2009,31(6):620-628.
[21]Sharma B,Kumar S.Attenuation of P,S,and coda waves inKoyna region,India[J].J Seismol,2007,11:327-344.
[22]雷卫东,ASHRAF M H,滕军,等.二维波穿过单节理的透射率特性及其隐含意义[J].中国矿业大学学报,2006,35(4):492-497.
[23]Pyrak-Nolte L J.Seismic response of fractures and the interrela-tions among fractures[J].International Journal of Rock Mechan-ics and Mining Sciences,1996,33(8):787-802.
[24]卢文波.应力波与可滑移岩石界面间的相互作用研究[J].岩土力学,1996,17(3):70-75.
[25]JU Y,SUDAK L,XIE H P.Study on stress wave propagation infractured rocks with fractal joint surfaces[J].International Jour-nal of Solids and Structures,2007,44(13):4256-4271.
[26]尹尚先,王尚旭,魏建新.弱连接界面弹性波波动规律研究[J].应用基础与工程科学学报,2007,15(3):317-331.
[27]Carcione J M.Constitutive model and wave equations for linear,viscoelastic,anisotropic media[J].Geophysics,1995,60(2):537-548.
[28]郭智奇,刘财.层状粘弹性介质中SH波的反射、透射问题[J].吉林大学学报(地球科学版),2005,35:57-61.
[29]李宁,张平,段庆伟,等.裂隙岩体的细观动力损伤模型[J].岩石力学与工程学报,2002,21(11):1579-1584.
[30]Cai J G,Zhao J.Effects of multiple parallel fractures on apparentattenuation of stress waves in rock masses[J].InternationalJournal of Rock Mechanics and Mining Sciences,2000,37:661-682.
[31]Ya-ping Zhu,Ilya Tsvankin.Physical modeling and analysis ofP-wave attenuation anisotropy in transversely isotropic media[J].Geophysics,2007,72(1):D1-D7.
[32]于桂兰,汪越胜,李楠.一般各向异性单侧接触界面上波的反射和折射[J].力学学报,2003,35(5):561-568.
[33]张中杰,滕吉文,贺振华.EDA介质中地震波速度、衰减与品质因子方位异性研究[J].物理学报,1999,29(6):569-574.
[34]Crampin S.Calculable fluid-rock interactions[J].J Geol Soc,1999,156:501-514.
[35]杜启振,杨慧珠.方位各向异性介质的裂缝预测方法研究[J].石油大学学报(自然科学版),2003,27(4):32-37.
[36]Vashishth A K,Khurana P.Wave propagation along a cylindricalborehole in an anisotropic poroelastic solid[J].Geophys J Int,2005,161:295-302.
[37]Kazatchenko E,Markov M,Mousatov A.Simulation of full-waveform Log in saturated cracked formations using Hudson's ap-proach[J].Geophys Prospect,2005,53:65-73.
[38]Han Qiyu,Wu Ru-shan.A one-way dual-domain propagatorfor scalar qP-waves in VTI media[J].Geophysics,2005,70(2):D9-D17.
[39]吴国忱,梁锴,王华忠.VTI介质qP波广义高阶屏单程传播算子[J].石油地球物理勘探,2007,42(6):640-650.
[40]刘礼农,陈小宏,张剑锋,等.轴对称各向异性介质波动方程深度偏移的对称非平稳相移方法[J].地球物理学报,2007,50(1):277-284.
[41]吕涛,李海波,周青春,等.传播介质特性对爆破振动衰减规律的影响[J].防灾减灾工程学报,2008,28(3):335-340.
[42]王观石,李长洪.应力波峰值变化与岩体结构关系的试验研究[J].矿冶工程,2009,29(6):25-28.
[43]Li Xibing,Lai Haihui,Gu Desheng.Reflection and refraction ofstress waves at a structural weakness plane in rock mass[J].Transactions of Nonferrous Society of China,1992,2(1):11-18.
[44]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.
[45]李小凡.大延伸非均匀介质中地震波全弹性散射理论[J].力学学报,2002,34(5):743-755.
[46]范留明,闫娜,李宁.薄弹性软弱夹层的动力响应模型[J].岩石力学与工程学报,2006,25(1):88-92.
[47]Carcione J M,Picotti S.P-wave seismic attenuation by slow-wave diffusion:effects of Inhomogeneous rock properties[J].Geophysics,2006,71(3):O1-O8.
[48]王卫华,李夕兵,左宇军.非线性法向变形节理对弹性P波传播的影响[J].岩石力学与工程学报,2006,25(6):1218-1225.
[49]YU J.Effects of single joint with different nonlinear normal defor-mational behaviors on P-wave propagation[C]//Proceedingsof the 2nd International Conference on Geotechnical Engineeringfor Disaster Mitigation and Rehabilitation,2008:458-465.
[50]王观石,李长洪.应力波在非线性结构面介质中的传播规律[J].岩土力学,2009,30(12):3747-3752.
[51]王观石,李长洪,胡世丽,等.岩体中应力波幅值随时空衰减的关系[J].岩土力学,2010,31(11):3487-3492.
[52]费鸿禄,马诺诺.坝基开挖爆破振动频带小波能量分析[J].爆破,2010,27(3):99-104.
[2]Gaviglio P.Longitudinal waves propagation in a Limestone:Therelationship between velocities and density[J].Rock Mech RockEng,1989,22(4):290-299.
[3]Mckenzie C K,Stacey G P,Gladwin M T.Sonic Wave Character-istics of Rock Mass[J].International Journal of Rock Mechanicsand Mining Sciences,1982,19(1):25-30.
[4]吴如山.震动波散射:理论与应用[J].地球物理学进展,1989(4):1-23.
[5]奚先,姚姚.随机介质模型波场的有效统计特征[J].华中科技大学学报(自然科学版),2005,33(9):109-112.
[6]李灿苹,刘学伟.随机一均匀介质应力波振幅属性研究[J].石油物探,2009,48(5):465-470.
[7]Ikele T,Yung S K,Daube F.2-D random media with ellipsoidalautocorrelation functions[J].Geophysics,1993,58(9):1359-1372.
[8]Pride S R,Berryman J G,Harris J M.Seismic attenuation due towave-induced flow[J].J Geophys Res,2004,109:B01201.
[9]刘炯,巴晶,马坚伟,等.随机孔隙介质中地震波衰减分析[J].中国科学:物理学力学天文学,2010,40:858-868.
[10]苑春方,彭苏萍,张中杰,等.Kelvin-Voigt均匀黏弹性介质中传播的地震波[J].中国科学D辑:地球科学,2005,35(10):957-962.
[11]LI J C,MA G W.Analysis of blast wave interaction with a rockjoint[J].Rock Mechanics and Rock Engineering,2010,43:777-787.
[12]Wenzlau F,Müller T M.Finite-difference modeling of wavepropagation and diffusion in poroelastic media[J].Geophysics,2009,74(4):T55-T66.
[13]符力耘.地震波探测地质构造复杂性的定量分析方法[J].中国科学D辑:地球科学,2009,39(9):1179-1190.
[14]杨天鸿,于庆磊,陈仕阔,等.范各庄煤矿砂岩岩体结构数字识别及参数表征[J].岩石力学与工程学报,2009,28(12):2482-2489.
[15]刘永贵,徐松林,席道瑛,等.节理玄武岩体弹性波频散效应研究[J].岩石力学与工程学报,2010,29(增1):3314-3320.
[16]Masson Y J,pride S R.Finite-difference modeling of biot's po-roelastic equations across all frequency[J].Geophysics,2010,75(2):N33-N41.
[17]Sato H.研究随机非均匀岩石层中尾波激发和振幅衰减的统一方法[M]//地震波的散射与衰减.孙福梁译.北京:地震出版社,1993:95-118.
[18]张培震,徐锡伟,闻学泽,等.2008年汶川8.0级地震发震断裂的滑动速率、复发周期和构造成因[J].地球物理学报,2008,51(4):1066-1073.
[19]黄玉龙,郑斯华,刘杰,等.广东地区地震衰减和场地响应的研究[J].地球物理学报,2003,46(1):54-61.
[20]华卫,赵翠萍,陈章立,等.龙滩水库地区P波、S波和尾波衰减[J].地震学报,2009,31(6):620-628.
[21]Sharma B,Kumar S.Attenuation of P,S,and coda waves inKoyna region,India[J].J Seismol,2007,11:327-344.
[22]雷卫东,ASHRAF M H,滕军,等.二维波穿过单节理的透射率特性及其隐含意义[J].中国矿业大学学报,2006,35(4):492-497.
[23]Pyrak-Nolte L J.Seismic response of fractures and the interrela-tions among fractures[J].International Journal of Rock Mechan-ics and Mining Sciences,1996,33(8):787-802.
[24]卢文波.应力波与可滑移岩石界面间的相互作用研究[J].岩土力学,1996,17(3):70-75.
[25]JU Y,SUDAK L,XIE H P.Study on stress wave propagation infractured rocks with fractal joint surfaces[J].International Jour-nal of Solids and Structures,2007,44(13):4256-4271.
[26]尹尚先,王尚旭,魏建新.弱连接界面弹性波波动规律研究[J].应用基础与工程科学学报,2007,15(3):317-331.
[27]Carcione J M.Constitutive model and wave equations for linear,viscoelastic,anisotropic media[J].Geophysics,1995,60(2):537-548.
[28]郭智奇,刘财.层状粘弹性介质中SH波的反射、透射问题[J].吉林大学学报(地球科学版),2005,35:57-61.
[29]李宁,张平,段庆伟,等.裂隙岩体的细观动力损伤模型[J].岩石力学与工程学报,2002,21(11):1579-1584.
[30]Cai J G,Zhao J.Effects of multiple parallel fractures on apparentattenuation of stress waves in rock masses[J].InternationalJournal of Rock Mechanics and Mining Sciences,2000,37:661-682.
[31]Ya-ping Zhu,Ilya Tsvankin.Physical modeling and analysis ofP-wave attenuation anisotropy in transversely isotropic media[J].Geophysics,2007,72(1):D1-D7.
[32]于桂兰,汪越胜,李楠.一般各向异性单侧接触界面上波的反射和折射[J].力学学报,2003,35(5):561-568.
[33]张中杰,滕吉文,贺振华.EDA介质中地震波速度、衰减与品质因子方位异性研究[J].物理学报,1999,29(6):569-574.
[34]Crampin S.Calculable fluid-rock interactions[J].J Geol Soc,1999,156:501-514.
[35]杜启振,杨慧珠.方位各向异性介质的裂缝预测方法研究[J].石油大学学报(自然科学版),2003,27(4):32-37.
[36]Vashishth A K,Khurana P.Wave propagation along a cylindricalborehole in an anisotropic poroelastic solid[J].Geophys J Int,2005,161:295-302.
[37]Kazatchenko E,Markov M,Mousatov A.Simulation of full-waveform Log in saturated cracked formations using Hudson's ap-proach[J].Geophys Prospect,2005,53:65-73.
[38]Han Qiyu,Wu Ru-shan.A one-way dual-domain propagatorfor scalar qP-waves in VTI media[J].Geophysics,2005,70(2):D9-D17.
[39]吴国忱,梁锴,王华忠.VTI介质qP波广义高阶屏单程传播算子[J].石油地球物理勘探,2007,42(6):640-650.
[40]刘礼农,陈小宏,张剑锋,等.轴对称各向异性介质波动方程深度偏移的对称非平稳相移方法[J].地球物理学报,2007,50(1):277-284.
[41]吕涛,李海波,周青春,等.传播介质特性对爆破振动衰减规律的影响[J].防灾减灾工程学报,2008,28(3):335-340.
[42]王观石,李长洪.应力波峰值变化与岩体结构关系的试验研究[J].矿冶工程,2009,29(6):25-28.
[43]Li Xibing,Lai Haihui,Gu Desheng.Reflection and refraction ofstress waves at a structural weakness plane in rock mass[J].Transactions of Nonferrous Society of China,1992,2(1):11-18.
[44]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.
[45]李小凡.大延伸非均匀介质中地震波全弹性散射理论[J].力学学报,2002,34(5):743-755.
[46]范留明,闫娜,李宁.薄弹性软弱夹层的动力响应模型[J].岩石力学与工程学报,2006,25(1):88-92.
[47]Carcione J M,Picotti S.P-wave seismic attenuation by slow-wave diffusion:effects of Inhomogeneous rock properties[J].Geophysics,2006,71(3):O1-O8.
[48]王卫华,李夕兵,左宇军.非线性法向变形节理对弹性P波传播的影响[J].岩石力学与工程学报,2006,25(6):1218-1225.
[49]YU J.Effects of single joint with different nonlinear normal defor-mational behaviors on P-wave propagation[C]//Proceedingsof the 2nd International Conference on Geotechnical Engineeringfor Disaster Mitigation and Rehabilitation,2008:458-465.
[50]王观石,李长洪.应力波在非线性结构面介质中的传播规律[J].岩土力学,2009,30(12):3747-3752.
[51]王观石,李长洪,胡世丽,等.岩体中应力波幅值随时空衰减的关系[J].岩土力学,2010,31(11):3487-3492.
[52]费鸿禄,马诺诺.坝基开挖爆破振动频带小波能量分析[J].爆破,2010,27(3):99-104.
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