在层状岩体中柱面波的传播

近些年来,随着复合材料生产的发展,复合材料力学性质的理论和实验研究也相应地发展起来了.由于许多岩体是复合体,因此运用复合材料力学理论的基本原理和方法来处理岩石力学问题是很有意义的,它更能比较真实地反映岩体的力学特性.最近,有些人已开始做了这方面的研究工作.     

含采空区层状岩体微震信号传播规律试验研究

微震信号在层状岩体中传播规律的研究对于实现震源准确定位具有重要的现实意义。在天然岩体中,微震信号在岩层中传播的速度,不仅受其内部因素即岩石自身物理性质的影响,还受外部因素如地质结构面、断层及采空区等条件的影响。通过室内试验的方法对微震信号在不同岩层及采空区处的传播规律进行研究。结果表明：波速随着传播距离的增加而逐渐衰减,且岩层密度越大衰减越慢;穿过的结构面数量越多,微震信号传播速度衰减比例越大;能量的衰减与波速的衰减一致。采空区断面横截面积越大,微震信号通过的用时越长;采空区周围岩石密度、弹性模量等物理性质的数值越大,微震信号通过时衰减越少。边际谱分析结果表明：断层对频率高的微震信号阻碍作用更强。     

Computational dynamic homogenization for the analysis of dispersive waves in layered rock masses with periodic fractures

The analysis of the wave propagation in layered rocks masses with periodic fractures is tackled via a two-scale approach in order to consider shape and size of the rock inhomogeneities. To match the displacement fields at the two scales, an approximation of the micro-displacement field is assumed that depends on the first and second gradients of the macro-displacement through micro-fluctuation displacement functions obtained by the finite element solution of cell problems derived by the classical asymptotic homogenization. The resulting equations of motion of the equivalent continuum at the macro-scale result to be not local in space, thus a dispersive wave propagation is obtained from the model. The simplifying hypotheses assumed in the multi-scale kinematics limit the validity of the model to the first dispersive branch in the frequency spectrum corresponding to the lowest modes.Although the homogenization procedure is developed to study the macro-scale wave propagation in rock masses with bounded domain, the reliability of the proposed method has been evaluated in the examples by considering unbounded rock masses and by comparing the dispersion curves provided by the rigorous process of Floquet–Bloch with those obtained by the method presented. The accuracy of the method is analyzed for compressional and shear waves propagating in the intact-layered rocks along the orthotropic axes. Therefore, the influence of crack density in the layered rock mass has been analyzed. Vertical cracks have been considered, periodically located in the stiffer layer, and two different crack densities have been analyzed, which are differentiated in the crack spacing. A good agreement is obtained in case of compressional waves travelling along the layering direction and in case of both shear and compressional waves normal to the layering. The comparison between two crack systems with different spacing has shown this aspect to have a remarkable effect on waves travelling along the direction of layering, and limited in the case of waves propagating normal to the layers.The equivalent continuous model obtained through the dynamic homogenization technique here presented may be applied to the computational analysis of non-stationary wave propagation in rock masses of finite size, also consisting of sub-domains with different macro-mechanical characteristics. This avoids the use of computational models represented at the scale of the heterogeneities, which may be too burdensome or even unfeasible.     

Propagation Characteristics of Blasting Stress Waves in Layered and Jointed Rock Caverns

The existence of joint fissures makes explosive actions between rock masses more complex. Therefore, it is of great significance to carry out experiments studying blasting stress waves propagating in jointed rock masses. Based on the Froude Similarity principle, the geological mechanical models of intact rock masses and jointed rocks have been proposed. A blasting vibration experiment was carried out and demonstrated that the propagation of the blasting stress waves and changing structures have an important relationship. A numerical simulation of the blasting stress wave propagation law in a layered jointed rock mass was carried out. This study found that with an increase in the joint angle, the peak velocity of blasting stress wave, transmission coefficient and reflection coefficient all gradually increased, while the attenuation coefficient gradually decreased. With an increase in joint spacing, the attenuation rate of the blasting stress waves increased.     

岩石爆破过程S波的产生机制分析

全面总结、分析了岩石爆破过程S波的产生机制,表明短柱状药包、炮孔周围岩体的开裂与破碎以及装药偏离球形或柱形空腔中心,均可诱发S波,并且诱发S波的幅值可超过P波;P波传播过程与岩体界面的相互作用,可产生次生的S波（透、反射SV波）。在此基础上,就爆破振动场模拟方法与计算模型选择中如何体现S波的产生机制方面提出了建议     

块系岩体非协调动力响应特征试验研究

岩体在块系构造状态下的动力传播存在块体和块体间软弱介质的非协调变形现象，对岩体结构的动力稳定产生重要影响。目前块系岩体的非协调动力传播响应研究尚不充分，导致不能进行有效的动力响应特征识别。通过试验对块系岩体非协调动力传播过程岩块动力响应特征进行研究，分别从动力传播速度、岩块加速度振幅衰减、岩块振动位移响应、岩块振动持续时间、块体动能显现、块体振动频域响应特性等方面对比纵波传播，给出块系岩体非协调动力传播的特征分析。通过分析可知，块系介质非协调变形运动产生的动力传播现象相比于纵波传播是一种低频低速波，并伴随着岩块的大位移运动，同时岩块振动持续时间较长，蕴含着动能与势能的相互转换过程，这些现象构成了块系岩体非协调动力传播的重要特征。该研究将为识别岩体非协调动力传播特征及块系岩体的冲击预警波动特征识别提供参考。     

岩石在动载作用下的破坏与强度

研究岩石的动载性能,在凿岩爆破上有重要意义。分段式霍布金生杆已应用于研究岩石对波动载荷的效应。作者使用改型的霍布金生杆法对岩石试件在动载下的破坏强度作了试验研究。冲击试验台配合微处理机作高速数据显示与处理,借助应力波在弹性杆中的一维理论对数据进行解释。测定了多种岩石静载与动载的强度,并对岩石试件尺寸及加载速率的影响也作了试验。     

节理对爆炸波传播影响的数值研究

采用加入无反射边界条件的DDA程序,研究了节理面对应力波传播的影响。结果表明,节理面能阻碍波的传播,有利于波的衰减,节理面越多,波的反射越强,而波的透射越弱。模拟了一个现场爆炸试验,研究爆炸产生的应力波在节理岩体中传播、衰减的规律,模拟结果与现场试验结果比较吻合。研究表明,DDA方法可以模拟节理面对应力波传播的阻碍作用,用它来模拟爆炸波在节理岩体中的传播是适用的。     

准各向同性裂隙岩体中有效动弹性参数与弹性波速关系的研究

从弹性波在介质中传播的特点和弹性波法在岩体工程中的实际应用情况方面,分析了弹性波在含裂隙岩体介质中的传播特征。将岩体中裂隙呈随机分布的裂隙岩体似为准各向同性裂隙岩体,根据能量平衡原理、岩石断裂力学理论和卡氏最小功能定理(Castiglano’s theorem),确定了准各向同性裂隙岩体的有效动弹性参数( 、 、 )与裂隙密度参数(Xv)的数学关系。在此基础上,根据各向同性介质中传播的弹性波理论,建立了准各向同性裂隙岩体中弹性波速( 、 )和 / 与裂隙密度参数(Xv)之间的关系。理论研究表明,在此裂隙岩体中,有效动弹性参数和弹性波速与裂纹密度参数之间相互的关系均近似成倒数函数的非线性关系;裂隙密度参数增加,有效动弹性模量( )也减少,弹性波速( , )也减小;在裂隙密度参数较小时,此裂隙岩体的有效弹性模量和弹性波速随裂隙密度参数的变化较大,说明裂隙体的有效弹性参数和弹性波速对裂隙体非常敏感。     

Validation study of the distinct lattice spring model (DLSM) on P-wave propagation across multiple parallel joints

A validation study of the distinct lattice spring model (DLSM) for wave propagation problems is performed. DLSM is a microstructure-based numerical model, which is meshless and has advantages in modelling dynamic problems where stress wave propagation is important. To verify the applicability of DLSM to modelling wave propagation through a discontinuous medium, the virtual wave source (VWS) method is used to obtain analytical solutions for wave propagation across a jointed rock mass. Numerical modelling results of the commercial code UDEC are selected as the reference. The effects of particle size and lattice rotation angle on wave propagation are first studied. Then, the results of wave transmission across a single joint with a different joint stiffness and across multiple parallel joints with different joint spacings are derived with DLSM, UDEC and VWS. These results are in good agreement with each other. Therefore, the capability of DLSM to model P-wave propagation across jointed rock mass is verified, which provides confidence for the further application of DLSM to modelling more complex problems.     

Discrete element modelling of an underground explosion in a jointed rock mass

The purpose of this paper is to investigate the application of the discrete element program UDEC for modelling underground explosions in a jointed rock mass. A field underground explosion test has been conducted and UDEC and AUTODYN were utilised in a coupled manner to predict the rock mass response due to the underground explosion. The dynamic equation for the state of the rock material obtained from impact tests was incorporated into the calibration modelling. The comparison of modelling results with test results and empirical formulas shows that UDEC is capable of modelling explosion wave propagation in jointed rock mass with high reliability.     

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。     

Considerations of the discontinuous deformation analysis on wave propagation problems

In rock engineering, the damage criteria of the rock mass under dynamic loads are generally governed by the threshold values of wave amplitudes, such as the peak particle velocity and the peak particle acceleration. Therefore, the prediction of wave attenuation across fractured rock mass is important on assessing the stability and damage of rock mass under dynamic loads. This paper aims to investigate the applications of the discontinuous deformation analysis (DDA) for modeling wave propagation problems in rock mass. Parametric studies are carried out to obtain an insight into the influencing factors on the accuracy of wave propagations, in terms of the block size, the boundary condition and the incident wave frequency. The reflected and transmitted waves from the interface between two materials are also numerically simulated. To study the tensile failure induced by the reflected wave, the spalling phenomena are modeled under various loading frequencies. The numerical results show that the DDA is capable of modeling the wave propagation in jointed rock mass with a good accuracy. Copyright © 2009 John Wiley & Sons, Ltd.     

含煤地层各向异性介质有限差分数值模拟

煤储层是一种双重孔隙介质,其孔隙由基质孔隙和裂隙组成,并具有自身独特的割理系统。传统的煤田地震勘探将煤层假设为单一的各向同性介质,没有考虑其中裂隙对煤层的影响。利用交错网格高阶有限差分算法,分别对不同厚度VTI和HTI型煤层的弹性波传播特征进行数值模拟,获得波场快照和含煤层状介质的地震模拟记录。从波场快照中可以看出,弹性波在VTI和HTI型煤层中传播存在明显差异;煤层厚度变化对波场的敏感性要强于煤层类型的变化。      

Determination of the elastic modulus set of foliated rocks from ultrasonic velocity measurements

Ultrasonic measurements of compressional and shear wave velocities under hydrostatic pressure up to 70 MPa were carried out on cylindrical specimens cored across and along the foliation planes. Our measurements revealed that the foliation of the metamorphic rocks induces a clear velocity anisotropy between two orthogonal directions; faster along the foliation plane and slower across the plane in most rock types. All velocity components monotonically increase with the confining pressure, probably due to the closure of microcracks distributed in rock specimens. We determined the complete set of dynamic moduli of foliated metamorphic rocks with two assumptions; transverse isotropy due to the foliation and ellipsoidal seismic energy propagation from a point source. The calculated elastic moduli referring to different directions could be valuable for the design of various engineering structures in planar textured rock mass.     

爆破开挖对岩体含水裂纹扩展的扰动机制

岩体裂纹的水力劈裂是岩体开裂渗漏甚至施工涌水的重要影响因素之一,也是岩土工程界的研究热点。从断裂力学角度分析了爆破开挖对岩体含水裂纹扩展的扰动作用,结果表明,爆破开挖扰动下,岩体含水裂纹的扩展,与爆炸应力波强度及其入射角、地应力的大小与方向、孔隙水压大小、裂纹的倾角及断裂韧度等因素相关;爆炸应力波的作用,相当于增大了岩体裂纹中的孔隙水压力,每1 cm/s的峰值振动速度相当于增大100 kPa的孔隙水压力,爆破振动速度越大,所产生的爆破扰动荷载越大;岩体开挖引起的岩体裂纹近区地应力及其孔隙水压力的变化,对裂纹的失稳与扩展具有较复杂的影响,可改变裂纹的失稳扩展模式。     

Evaluation of equivalent medium methods for stress wave propagation in jointed rock mass

This paper evaluates the existing equivalent medium methods for jointed rock mass and further develops the equivalent viscoelastic medium method proposed by the authors. The advantages and limitations of different equivalences to the discontinuous rock mass are discussed. Theoretical derivation of stress wave propagation through the equivalent viscoelastic medium is carried out by adopting the Fourier transformation method, and the parameters of the equivalent viscoelastic medium method are determined analytically. The frequency dependence and the wave attenuation phenomenon can be properly described when the imaginary terms of the complex moduli of the rock mass are included. The results show that the equivalent viscoelastic medium method is able to predict the effective velocity and the stress wave transmission coefficient in a rock mass more accurately than the conventional effective elastic moduli methods. An example of the stress wave propagation through rock mass with parallel joints shows that the equivalent viscoelastic medium method is promising and worthy to be further explored for application in practical rock engineering problems. Copyright © 2011 John Wiley & Sons, Ltd.     

电磁波在碳酸岩地区的传播特性研析

形成岩溶的高阻碳酸岩对电磁波的吸收较弱,而且碳酸岩成层沉积的特定环境使碳酸岩地区岩石的各向异性现象较明显,由于地空界面的存在及岩溶洞壁两侧介质电性差异明显,界面清晰,又使电磁波出现强烈的反射及散射现象。本文从理论上对碳酸岩地区电磁波传播的特有现象进行了研究和分析,并给出了结论。     

层状岩体地下洞室破坏模式数值模型及验证

基于层面法向局部坐标系中的横观各向同性弹性本构模型,根据层面产状方位角,推导出整体坐标系中弹性应力的转换方法。针对层状岩体的各向异性特征,将岩体的破坏模式细分为5种,分别对每一种破坏模式建立各自的判别函数和屈服准则,根据塑性流动正交法则推导出相应的应力修正迭代计算方法。通过单轴、三轴压缩数值试验,对层状岩体的强度和变形性质进行研究,分析层面倾角和围压对层状岩体力学行为的影响。将所建模型与FLAC3D自带的横观各向同性弹性模型以及遍布节理模型进行对比,验证模型的正确性及精度。同时,将模型应用于三向等压理想圆形隧洞的开挖计算中,分析层状岩体破坏方式受层面方位角影响的变化规律,分析结果表明层面对围岩破坏模式和塑性区扩展方向起到了控制作用。     

地震层析成像方法及其在岩体结构研究中的应用

根据岩体结构理论 ,软弱结构面对岩体变形与破坏具有优先控制作用 ,它与围岩在地震波传播性质 (波速与衰减特性 )上的差别 ,可以利用地震层析成像技术 ,对它进行空间定位 ,进而研究岩体的内部结构特征。针对岩体结构研究的特点 ,本文提出将地震波走时成像方法与地震波衰减成像方法 (振幅与脉冲宽度 )集成到一个处理流程中 ,实现了岩体结构的综合成像方法。