爆炸应力波对新浇混凝土衬砌的影响研究

爆炸应力波作用下新浇混凝土衬砌的破坏模式及安全振动速度是水电、铁道工程隧洞建设中需要解决的重要问题。根据弹性P波及SV波在介质中的传播规律,讨论了P波及SV波在薄层混凝土衬砌中的传播及近似处理方法,依照莫尔-库仑准则、极限拉应力准则、极限拉应变准则,研究了爆炸应力波作用下新混凝土衬砌的破坏模式及安全振动速度。结果表明,入射应力波及衬砌中的折射波对衬砌的破坏作用最主要,折射波在衬砌内产生的反、折射波将降低衬砌中的应力,具有卸载效果;混凝土衬砌的安全振动速度随着龄期的增大而增大,P波入射时,安全振动速度随着入射角的增大而增大,入射角较大时,胶结面容易发生剪切破坏,较小时,容易发生拉伸破坏,SV波入射时,较小角度下容易发生剪切破坏,较大角度时容易发生拉伸破坏;围岩弹性模量越高,衬砌的安全振动速度越小。     

水平层状岩体边坡动力响应中的结构面效应研究

根据应力波传播原理分析了水平层状岩体边坡中应力波传播特征,建立了应力波在该类边坡中传播的模型.利用离散元软件UDEC分析了不同频率垂向压缩应力波作用下边坡动力响应规律中的结构面效应.结果表明:边坡中的水平层面对坡顶的动力响应有明显影响.低频应力波作用下,水平层状岩体边坡坡顶的垂向峰值速度较均质坡体相同部位的峰值速度的增...     

节理岩体应力波反演模型研究

通过分析垂直节理面入射应力波的传播过程,得出节理界面产生的各次回波波形函数表达式,确定波源处的振动组合,从而建立以该振动信号分析为基础的反演节理特征的模型。该模型不仅能反演出节理的一些基本特征,包括：节理的位置、节理内充填物的波阻抗、品质因子、以及节理宽度与波速比值,而且还能反演出节理另一侧岩石的波阻抗,这一成果无疑将扩大应力波在节理岩体测试中的应用范围。     

斜入射线弹性节理应力波传播特征的数值模拟

依据弹性波理论,应力波斜入射线弹性节理时会发生波场分解。根据入射、透射及反射各波形的不同到时,运用离散元软件UDEC模拟应力波在含倾斜节理岩体中的传播并计算其透射、反射系数,并分析其波型转换规律。应力波斜入射单节理时,模拟得到的透射、反射系数随节理刚度、入射角度的变化规律,与已有的理论解是吻合的。应力波斜入射一组平行节理时,随着节理间距的增大,其同类波的透射系数Tpp、Tss先增大后减小,最后趋于稳定值;节理条数越多,Tpp、Tss越小。此外,不同条数的节理,透射系数达到最大值的临界节理间距值基本一致,但趋于稳定时的节理间距值随节理条数的增加而逐渐增大。     

基于间接边界元方法的SH波倾斜入射下边坡动力响应特征

地震作用下山体边坡的动力响应规律与地震波入射角度显著相关,本文基于间接边界元方法研究SH波倾斜入射下边坡的动力响应特征.基于间接边界元理论研发了用于边坡岩体动力响应分析的边界元程序,通过计算平直裂隙对弹性波的反射及散射波波场对程序进行验证,并详细探讨了不同类型的边坡在各种入射角度的应力波作用下的响应特性.SH波铅直向入射时,半圆形凹陷地形的谷肩位置地震动振幅最小,而半圆形凸起地形的最高点位置振幅最大,单面坡的坡肩位置地震动最大,楔形凸起地形的坡顶地震动最强烈;当SH波入射角增大,各类边坡的最大地震动力响应位置也有所偏移,地震放大系数亦随之变化;以樟木镇边坡为实例揭示了复杂形态边坡岩体中的局部凸起对地震动的放大作用.研究结果表明,边坡微地形特征对地震动力响应影响非常大,凸起山体坡顶的动力放大效应最为显著;同一边坡在不同入射角地震波作用下产生的动力放大系数以及发生的位置不同.本文的研究结果对评价坡体稳定性和边坡工程抗震防设等具有重要的指导意义.      

Effect of gradient stress on stress wave propagation characteristics of red sandstoneEI北大核心

地下工程岩体开挖卸载后,围岩体承受的地应力随空间位置呈梯度形式变化。梯度地应力导致岩石的波阻抗呈梯度形式变化,进而影响应力波传播衰减特性。为研究梯度地应力对岩石应力波传播特性的影响,利用自主研发的具有梯度静应力岩石应力波传播试验系统,对红砂岩长试件进行了9种应力梯度工况下的应力波传播试验。通过分析岩石应力波传播速度、波阻抗随应力梯度的变化规律,构建应力波幅值与传播距离、传播时间和应力梯度之间的经验模型,探索梯度应力影响红砂岩应力波传播衰减的机制。结果表明,相同应力梯度工况下,随传播距离增加,应力波形状变化较小,但幅值逐渐减小。随应力梯度增大,岩石各测点区段内应力波传播速度、波阻抗均增大,但增大速率逐渐减缓,相邻测点区段波阻抗差值比先快速增大,后缓慢减小。随传播距离和传播时间增加,应力波幅值均呈指数形式减小;随应力梯度增大,时空衰减系数均呈先快速增大,后缓慢减小趋势变化。随应力梯度增大,相同测点应力波幅值先快速减小,后缓慢变化,在低应力梯度阶段,距离自由端越远的测点幅值衰减速率越快。     

岩体软硬度对一维应力波演化影响研究

地下球形药包爆轰后将产生很强的地震波．其传播受多种因素的影响。本文把岩石介质的弹塑性帽盖模型耦合到有限差分法程序中，对一维爆轰波在非均质岩石体中的传播、演化机理进行了数值模拟与分析。着重探讨一维应力波从“硬”岩石层进入“软”岩石层、从“软”岩石层进入“硬”岩石层时，波在形状和强度等方面的变化规律。同时也探讨了岩石介质中存在的“软弱夹层”对一维应力波传播的影响。这些对于人防工程等中的波阻抗的功能梯度效应和智能防护等方面的研究具有一定的参考价值。     

岩体中应力波幅值随时空衰减的关系

把岩石抽象为Kelvin-Voigt黏弹性体,应用复数理论建立了应力波在岩石中传播时的振动频率和波动频率的关系,在此基础上,研究了岩石和含有一组平行结构面的岩体中应力波幅值随时间和随空间衰减的关系。研究表明,应力波在岩石的传播过程中,频率是影响应力波幅值衰减的的主要因素;应力波在含有1组平行结构面岩体的传播过程中,由于结构面的存在,影响了应力波能量的传播,其幅值随时空衰减系数主要由结构面间距及其反射系数决定,结构面间距减小和反射系数增加,幅值随传播距离的衰减系数增加和随时间的衰减系数减小,而结构面的黏性系数增加,幅值随传播距离的衰减系数增加,但随时间的衰减系数变化很小。上述结论对岩体结构探测具有重要的指导意义。     

阻尼对应力波传播的影响

基于一维应力波理论，本文讨论了材料粘性（内阻尼）及作用于杆侧表面外阻尼对应力波传播的影响，应力波在外阻尼作用下，向上传播－应力波，该应力波在端面质点速度方向与入射波质点速度相反，而内阻尼则使材料具有松弛、蠕变行为，作用力终止后，端面质点速度缓慢地回复到零。无论是内阻尼还是外阻尼。受其影响，应力波在向下传播过程中，能量有一定程度的耗损     

不耦合装药爆破对硬岩应力场影响的数值分析

爆破地震勘探石油是一种重要的方法,但爆破地震效应与爆破参数、地质条件等密切相关。采用动力有限元软件ANSYS/LS-DYNA,对柱状炸药与药孔壁之间为空气或其他介质以及空隙间距变化时碳酸盐岩岩石中爆炸应力波的传播规律和爆炸地震波能量的衰减特性进行了数值模拟研究,得到了不耦合装药爆炸时岩石应力、振动速度的衰减规律以及与不耦合系数、间隙介质的关系,分析了不耦合效应对爆炸地震波能量的影响。研究表明,不耦合或耦合不好时会使岩体中爆炸应力波的强度大大降低;耦合状态对岩体应力及速度的衰减系数和衰减指数影响较大;在空隙中注水或灌满泥浆会改善它们的耦合关系,增大下传的爆破能量。所得成果可为我国西南地区优选适合碳酸盐地层地震勘探的激发因素提供技术途径和方法。     

Effect of dry sandiness parameter and initial stress on the scattering of plane SH wave

The present paper is incorporated into a mathematical model of transmission and reflection of shear waves through the initially stressed dry sandy medium sandwiched between two initially stressed distinct orthotropic half-spaces. The formulae of transmission and reflection coefficients have been deduced for the propagation of SH waves in the described model subjected to certain boundary conditions applying Snell’s law and Cramer’s method. These coefficients are observed as a function of wave number, phase velocity, initial stress, rigidity, and dry sandiness coefficients. The concepts of energy partition, phase shift, conservation of energy, critical angle, and slowness section are introduced. Graphical approach has been carried out to accomplish a relation between reflection/refraction coefficient, phase shift, and energy ratio with an angle of incidence and wave number on the propagation of shear wave. The study reveals that sandiness parameter, initial stress, and wave number have a cogent respond to the scattering of shear wave that has been illustrated graphically.     

不同饱和度土层分界面上剪切波的反射与透射

基于多相孔隙介质弹性理论,给出了非饱和土中不同弹性波的传播方程。根据分界面上的边界条件,建立了各势函数波幅值之间的关系式,讨论了入射剪切波在不同饱和度土层分界面上的反射与透射问题。在无限空间非饱和土体中存在3种压缩波和1种剪切波,因此,当剪切波传播到不同饱和度的非饱和土层分界面上将分别在上、下土层激发产生4种反射波和4种透射波。推导出不同反射波和透射波的振幅比例系数和能量比例系数的理论表达式,并且在此基础上进行数值分析。在数值算例中分别研究了各反射波与透射波的能量比例系数（即能量反射率和能量透射率）受入射频率、入射角度以及上、下土层土体饱和度变化的影响情况。计算结果表明：各能量反射率和能量透射率不仅与入射角和入射频率有关,而且其受上、下土层饱和度变化的影响也同样不能忽视。     

Analysis of Wave Propagation Through a Filled Rock Joint

An analytical and experimental study on a longitudinal wave (P-wave) transmission normally across a filled rock joint is presented in this paper. The dynamic property of the filling material for the artificial rock joints is derived from a series of modified split Hopkinson pressure bar (SHPB) tests. The incident and transmitted waves in granitic pressure bars are calculated by wave separations of the strain gauge readings. The incident wave is approximated by a series of half-sinusoidal waves, and an analytical model on wave propagation across a filled rock joint is then deduced. The derived wave transmission coefficients across the filled joint agree very well with those from the test results. Both the analytical and test results show that the wave transmission coefficients are influenced by the mechanical properties and the input energy of the incident waves. Analytical parametric studies with respect to pre-compaction of the filling material, the frequency and amplitude of the incident wave have also been conducted.     

Analysis of Stochastic Seismic Wave Interaction with a Slippery Rock Fault

Stochastic seismic wave interaction with a slippery rock fault is studied, based on the principle of conservation of momentum at the wave fronts along the fault. By using the displacement discontinuity method, the wave propagation equations are derived for incident longitudinal-(P-) and shear-(S-) waves, respectively. This is an extension of the study by Li and Ma (2010) for blast-induced wave propagation across a linear rock joint. Stochastic seismic waves are generated from a frequency spectrum and used to analyze the seismic wave interaction with a rock fault having a Coulomb-slip behavior. Parametric studies are carried out to investigate the effect of the intensity and impinging angle of the incident seismic waves on wave propagation across a slippery rock fault. Results show that the transmission of the incident P-wave is almost not affected by the fault, on the contrary, this is not the case for an incident S-wave, due to the occurrence of a relative slip which is related to the impinging angle of the incident S-wave. A quantitative study is presented which is of help in understanding the propagation and attenuation laws of seismic waves in discontinuous rock masses.     

Analysis of Blast Wave Interaction with a Rock Joint

The interaction between rock joints and blast waves is crucial in rock engineering when rock mass is suffered from artificial or accidental explosions, bursts or weapon attacks. Based on the conservation of momentum at the wave fronts and the displacement discontinuity method, quantitative analysis for the interaction between obliquely incident P- or S-blast wave and a linear elastic rock joint is carried out in the present study, so as to deduce a wave propagation equation. For some special cases, such as normal or tangential incidence, rigid or weak joint, the analytical solution of the stress wave interaction with a rock joint is obtained by simplifying the wave propagation equation. By verification, it is found that the transmission and reflection coefficients from the wave propagation equation agree very well with the existing results. Parametric studies are then conducted to evaluate the effects of the joint stiffness and incident waves on wave transmission and reflection. The wave propagation equation derived in the present study can be straightforwardly extended for different incident waveforms and nonlinear rock joints to calculate the transmitted and reflected waves without mathematical methods such as the Fourier and inverse Fourier transforms.     

应力波斜入射对岩体节理端部的影响

岩体节理在受到应力波扰动时端部受力会发生不同程度的连续性变化,为具体分析这种动态变化与应力波入射角度之间的关系,引用岩石非线性法向本构关系与线性切向本构关系的组合模型以及相应的在P波斜入射节理的应力波传播方程,结合岩石断裂力学中Ⅰ、Ⅱ型裂纹尖端应力和位移场的相关理论,得出组合形式下的节理端部应力场和位移场随质点振速变化的计算公式。通过不同入射角的模拟脉冲信号作用对端部应力位移的变化分析：应力波斜入射节理导致节理端部上、下两侧应力与位移场非对称分布,随着入射波质点振速的增减变化,应力集中位置会出现变化;计算并整理模型中节理端部上、下两侧0.005 m位置的数据,节理法向刚度由入射波质点振速带来的变化直接影响到应力波的透射与反射,进而会导致端部的应力与位移出现滞后效应;节理端部横向位移值与入射角度并非单调变化,而竖向位移会随着入射角的增大呈现下降趋势。     

A three-dimensional oblique incidence method based on stress time-history functions of seismic body waves

This paper presents a three-dimensional oblique incidence method based on stress time-history functions of seismic body waves. This method realizes the three-dimensional oblique incidence of a single body wave phase or superposed multiple phases, which considers the earthquake action in the analysis of the slope seismic response. To implement this method, first, the spatial relationship between slope and incident seismic wave rays is described, and the direction of incident seismic waves is defined with two parameters: the azimuth angle \(\alpha\), which reflects the azimuth of epicenter; and the incident angle \(\theta\), which is a concentrated expression of the hypocentral depth and epicentral distance. Second, at the bottom boundary of the slope numerical model, the vibration starting time of each node excited by an oblique incident seismic wave is calculated. By considering vibration time sequence, the successive disturbance of rock and soil medium at the bottom of the slope is achieved. Then the stress time-history functions of six body wave phases are derived. Numerical simulation results of the x demonstrate the effectiveness, applicability and necessity of the proposed method.     

Study on elastic P-wave propagation law in unfavorable geologic structures with discontinuous deformation analysis method

The propagation of elastic P-wave in unfavorable geologic structures is a complex process which contains reflex, transmission, and refraction. In this paper, the discontinuous deformation analysis (DDA) method is introduced, and the viscous boundary condition and stress wave input way are applied to enable the DDA method to simulate the seismic dynamic response of underground rock mass. The improved DDA program is used to analyze the propagation laws of elastic P-wave in joints and weak interlayer. The results show that (1) for a range of joint stiffness, the difference of transmission coefficient of joint surface between DDA calculation and theoretical solution is small; (2) the lower the joint stiffness, the more obvious the attenuation of the elastic P-wave is; (3) varied joint spacing and joint number play different roles on the attenuation of elastic P-wave; (4) the DDA calculation result is consistent with the theoretical solution for the transmission coefficient of interface; (5) the thickness and elastic modulus of weak interlayer will affect the interference effect of multiple transmission waves; (6) with the increasing weak interlayer thickness H (or a), the attenuation of the elastic P-wave is more obvious; and (7) the lower the wave impedance ratio of weak interlayer, the more obvious the attenuation of the elastic P-wave is.