平面P波在含结构面黏弹性岩体中的传播  

P-wave propagation across a viscous-elastic rock mass with a structural plane

作　　者：王昊 柴少波 蔚立元[2] 井彦林[1] 周涛 WANG Hao;CHAI Shaobo;YU Liyuan;JING Yanlin;ZHOU Tao(School of Civil Engineering,Chang¢an University,Xi¢an,Shaanxi 710064,China;State Key Laboratory for GeoMechanics and Deep Underground Engineering,China University of Mining and Technology,Xuzhou,Jiangsu 221116,China)

机构地区：[1]长安大学建筑工程学院,陕西西安710064 [2]中国矿业大学深部岩土力学与地下工程国家重点实验室,江苏徐州221116

出　　处：《岩石力学与工程学报》2020年第S01期2763-2770,共8页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金资助项目(41902277);陕西省自然科学基础研究计划项目(2019JQ–689);中国矿业大学深部岩土力学与地下工程国家重点实验室开放基金(SKLGDUEK1811)。

摘　　要：应力波在节理、软弱夹层等不连续结构面中的传播是岩石动力学的一个重要研究方向。岩石介质对应力波的传播有一定的衰减和时间延迟,往往表现为黏弹性。本文假定岩体为Kelvin体,通过引入应力波的品质因子Q_p和Q_s,建立平面应力波在黏弹性体中的传播方程。对平面P波与线弹性结构面的作用关系进行分析,并基于频域范围内P波经过结构面后的透反射系数的解,分析平面应力波在含一线弹性结构面的黏弹性岩体中的传播规律,求得到达监测面上任意一点处的透射P、S波的速度表达式。运用波的叠加原理,建立平面P波经过黏弹性结构面岩体后的法向和切向透射系数。参数研究表明,应力波在黏弹性体中传播时会产生明显的衰减和时间延迟,结构面特性及入射波频率等对透射系数均有一定影响。The propagation of stress waves in discontinuous structural plane such as jointed rock mass and weak interlayer is an important research direction of rock dynamics.The time delay and amplitude attenuation always occur,as the wave across viscoelastic rock.The rock mass was assumed as the Kelvin body in this paper,and the wave propagation equation in the viscoelastic body is established using the wave quality factors.The interaction between the P wave and a linear elastic structural plane is analyzed.Based on the solution of the reflection coefficient of P wave passing through the structural plane in the frequency domain,the propagation rules of the planar stress wave in viscoelastic rock mass,which contains a linear elastic structure surface,was analyzed.Then the expressions of the transmission velocity of P and S waves at any point on the monitor-surface were obtained.The normal and tangential transmission coefficients of plane P wave through the structural plane of viscoelastic rock mass are calculated,using the superposition principle of wave.The parameter studies show that the attenuation and time delay are obvious,when the stress wave propagates in the viscous elastomer.And the structural surface characteristics and incident wave frequency have certain influence on the transmission coefficient.

关 键 词：岩石力学 应力波 波传播 黏弹性 岩体 品质因子 透射系数 

分 类 号：TU45[建筑科学—岩土工程]