共查询到20条相似文献，搜索用时 46 毫秒
1.
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。 相似文献
2.
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。 相似文献
3.
Analysis of Wave Propagation Through a Filled Rock Joint 总被引：1，自引：1，他引：0
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. 相似文献
4.
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. 相似文献
5.
考虑节理质量对应力波传播的影响,运用波的位移位函数推导了谐波在厚黏弹性节理的透、反射系数计算公式,采用波形相关系数描述子波穿过黏弹性节理的波形变化,讨论具有一定厚度的黏弹性节理简化位移不连续模型的适用条件。设厚黏弹性节理模型和位移不连续模型的透射波波形相关系数为0.9时对应的节理厚度为临界厚度,岩体与节理的阻抗比对临界厚度的影响很小;临界厚度随子波中心频率增大呈负指数减小,入射角越大,临界厚度随中心频率减小得越慢。试验数据分析表明：当节理厚度为0.03 m时,采用位移不连续模型和厚黏弹性模型计算得到的节理力学参数非常接近,随节理厚度和子波中心频率增加,运用位移不连续模型的计算结果偏差越大,试验结果与理论分析是一致的。 相似文献
6.
7.
Sheng Zeng Shaoping Wang Bing Sun Qibing Liu 《Geotechnical and Geological Engineering》2018,36(3):1559-1573
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. 相似文献
8.
夹层是常见的地质结构,在地震或爆破荷载作用下,夹层对应力波的传播以及对岩体的响应具有重要的影响。以往对应力波在夹层介质中传播的研究多集中于夹层对应力波的隔振或透射性能,而对应力波在夹层中的多次折、反射过程中能量的演化规律缺乏讨论,对夹层介质的应力响应与破坏没有开展较好地分析。通过理论方法对应力波在夹层内部传播过程中的能量系数的变化规律进行了研究,分析了岩体介质波阻抗和应力波入射角对夹层内外介质中累积波动能量系数的影响规律,以及平面型边坡中软弱夹层的应力响应特征和动态稳定性。研究发现,应力波在夹层内部往复反射过程中,夹层内剩余应力波能量随折、反射发生次数呈指数曲线下降,第4次折、反射后产生的应力波能量可以忽略;夹层内外介质中应力波的累积能量系数的差异随着夹层内外介质波阻抗的相对差异的增大而增大。在平面谐波入射下,边坡内部的夹层中的剪应力和抗剪强度呈波动变化;相对P波,SV波入射会产生较高水平的剪应力,对边坡稳定性影响最大。且SV波入射时,边坡的安全系数对夹层的倾角变化更为敏感,随倾角增大而迅速降低。 相似文献
9.
A. Perino J. B. Zhu J. C. Li G. Barla J. Zhao 《Rock Mechanics and Rock Engineering》2010,43(6):799-809
Different methods are presently available for the analysis of wave propagation across jointed rock masses with the consideration of multiple wave reflections between joints. These methods can be divided into two categories. One is based on the displacement discontinuity model for representing rock joints, where the displacements across a joint are discontinuous and the tractions are continuous, and the other is the equivalent medium method. For the first category, there are three methods, i.e., method of characteristics (MC), scattering matrix method (SMM) and virtual wave source method (VWS). MC solves the equation of motion by using the theory of characteristic curves. SMM is based on the definition of the scattering matrix in which the reflection and transmission coefficients of a set of joints are stored. VWS method replaces the joints in the rock mass with a virtual concept. For the second category, equivalent medium model treats the problem in the frame of continuum mechanics and simplifies it from an explicit wave propagation equation. The objective of this paper is to review and compare these theoretical methods. The comparison shows that the four solutions agree very well with each other. Some additional considerations about the advantages and disadvantages of these methods are also given in the paper. 相似文献
10.
Experimental Study of Ultrasonic Waves Propagating Through a Rock Mass with a Single Joint and Multiple Parallel Joints 总被引：2，自引：1，他引：1
Xiaolin Huang Shengwen Qi Songfeng Guo Wanli Dong 《Rock Mechanics and Rock Engineering》2014,47(2):549-559
Experiments were conducted to study the relationship between the transmission ratio (TR) and normal stress, joint roughness, joint number and frequency of incident waves, respectively, when ultrasonic waves pass across a rock mass with one joint and multiple parallel joints oriented normally. The ultrasonic waves were generated and received by pairs of piezoelectric transducers and recorded by an ultrasonic detector. The specimens were subjected to normal stress by a hydraulic jack and loading frame. The jointed rock mass was produced by superposing rock blocks in the study. Rough joints were produced by grooving notches on the planar joints formed by sawing directly. In the case of multiple parallel joints, the overall thickness of specimens was maintained while the joint number changed. Three pairs of P-wave transducers and one pair of S-wave transducers with different frequencies were, respectively, applied and all transducers emitted signals perpendicular to the joints in the experiment. The results indicate that TR increases with increasing normal stress while the increment rate decreases gradually. This is particularly so when the normal stress is high enough that TR will approximate 1 even if the rock mass has many joints. In addition, the experiments indicate that the higher the wave’s frequency, the lower its TR, and this phenomenon is gradually reduced as the normal stress increases. In response to S-waves, TR increases with increase in joint roughness; however, in response to P-waves, TR decreases gradually with increase in joint roughness. For multiple parallel joints in a fixed thickness rock mass with normally incident P-waves, TR does not always decrease with increase in the number of joints, and there is a threshold joint spacing for a certain incident wave: when the joint spacing is smaller than the threshold value, TR will increase with a decrease in joint spacing. The experimental results support similar conclusions based on analytical results drawn by Cai and Zhao (Int J Rock Mech Min Sci 37(4):661–682, 2000), Zhao et al. (Int J Rock Mech Min Sci 43(5):776–788, 2006b) and Zhu et al. (J Appl Geophys 73:283–288, 2011a). 相似文献
11.
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。 相似文献
12.
A Numerical Study on Wave Transmission Across Multiple Intersecting Joint Sets in Rock Masses with UDEC 总被引：1，自引：1，他引：0
This paper presents a numerical study on wave transmission across jointed rock masses with UDEC, where multiple intersecting joint sets exist. The capability of UDEC of studying wave transmission across rock joints is validated through comparison with analytical solutions and experimental data. Through parametric studies on wave transmission across jointed rock masses, it is found that joint mechanical and spatial parameters including joint normal and shear stiffnesses, nondimensional joint spacing, joint spacing ratio, joint intersecting angle, incident angle, and number of joint sets together determine the wave transmission. And for P wave incidence, compared with other parameters, joint normal stiffness, nondimensional joint spacing, and joint intersecting angle have more significant effects on wave transmission. The physical reasons lying behind those phenomena are explained in detail. Engineering applications and indications of the modeling results are also mentioned. 相似文献
13.
基于弹性波在冻结饱和多孔介质与单相弹性介质中的传播理论,研究了平面P波在饱和冻土介质与单相弹性介质分界面上的透反射问题。利用Helmholtz矢量分解定理,根据分界面上的边界条件,获得了平面P波从单相弹性介质入射到饱和冻土介质分界面上透反射振幅比的理论表达式。通过数值计算,分析了在不同入射频率、胶结参数、孔隙率、饱和度和接触参数下,弹性波的透反射振幅比随入射角变化的关系。研究结果表明：P波从单相弹性介质垂直入射到饱和冻土介质分界面上时只有反射P波和3种透射P波产生,当掠入射时只产生反射而没有透射现象发生。入射频率、胶结参数、孔隙率、饱和度以及接触参数等参数对反射波和透射波的振幅比影响显著。 相似文献
14.
利用傅里叶级数计算任意函数形式的弹性纵波垂直通过非线性结构面的透射波和反射波的速度波形。采用双曲模型描述结构面的变形特性,基于位移不连续模型,结合波振面处动量守恒定律,推导了弹性纵波垂直通过非线性结构面的基本方程。假设应力波在含结构面岩体中传播时,结构面的存在不改变应力波波形函数的最小正周期,运用傅里叶级数理论和周期延拓方法,得到了任意函数形式的弹性纵波垂直入射时透射波和反射波速度波形的傅里叶级数解,并验证了傅里叶级数解是合理的。利用傅里叶级数解,分析了单一频率的正弦谐波入射至结构面时,透射波中各阶谐波的振幅和相位与谐波阶数的关系。研究结果表明,各阶谐波的振幅与阶数呈负指数关系衰减,前7阶谐波振幅的衰减指数为谐波阶数的二次函数,当谐波阶数大于7时,衰减指数为谐波阶数的一次函数;各阶谐波的相位与谐波阶数呈线性关系。 相似文献
15.
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. 相似文献
16.
Mohd Mustaqim Mohd-Nordin Ki-Il Song Gye-Chun Cho Zainab Mohamed 《Rock Mechanics and Rock Engineering》2014,47(2):561-573
Geophysical site investigation techniques based on elastic waves have been widely used to characterize rock masses. However, characterizing jointed rock masses by using such techniques remains challenging because of a lack of knowledge about elastic wave propagation in multi-jointed rock masses. In this paper, the roughness of naturally fractured rock joint surfaces is estimated by using a three-dimensional (3D) image-processing technique. The classification of the joint roughness coefficient (JRC) is enhanced by introducing the scan line technique. The peak-to-valley height is selected as a key indicator for JRC classification. Long-wavelength P-wave and torsional S-wave propagation across rock masses containing naturally fractured joints are simulated through the quasi-static resonant column (QSRC) test. In general, as the JRC increases, the S-wave velocity increases within the range of stress levels considered in this paper, whereas the P-wave velocity and the damping ratio of the shear wave decrease. In particular, the two-dimensional joint specimen underestimates the S-wave velocity while overestimating the P-wave velocity. This suggests that 3D joint surfaces should be implicated to obtain the reliable elastic wave velocity in jointed rock masses. The contact characteristic and degree of roughness and waviness of the joint surface are identified as a factor influencing P-wave and S-wave propagation in multi-jointed rock masses. The results indicate a need for a better understanding of the sensitivity of contact area alterations to the elastic wave velocity induced by changes in normal stress. This paper’s framework can be a reference for future research on elastic wave propagation in naturally multi-jointed rock masses. 相似文献
17.
Shishir Gupta Smita Snehamoy Pramanik Abhijit Pramanik 《Arabian Journal of Geosciences》2018,11(9):220
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. 相似文献
18.
多口钻井证实四川盆地西南部地区发育火成岩,火成岩主要分布在龙潭组内部,火成岩发育区地震资料存在岩下地震同相轴连续性较差、反射能量弱等现象,火成岩下屏蔽效应机理不清、岩下地震反射井震标定能量相位差异大,明确火成岩区地震波传播规律是地震资料采集、处理解释的基础。这里从地震波反射透射基本原理出发,阐述了火成岩地层的反射透射能量及对下伏地层的屏蔽机理,利用波动方程地震模拟及偏移,分析了不同火成岩分布模型对下伏地层地震信号的屏蔽作用,采用低频补偿、逆时偏移等方法改善岩下成像质量。结果表明:火成岩发育会不同程度导致下伏地层地震透射能量的衰减,纵向多套火层岩发育时,下伏地层屏蔽效应明显,发育区地震表现为类似生物礁的外形隆起、内部杂乱反射特征,下部多次反射较多且能量较强。通过低频优势频带保护处理、利用全波场波动方程偏移成像等方式可以改善岩下地震成像质量。 相似文献
19.
节理面透射模型及其隔振性能研究 总被引：3，自引：1，他引：2
振动波入射到节理界面上,与软弱断层一样会产生波场的分解,能够起到隔振作用。根据线性变形节理的透反射规律研究发现,隔振后各点的波场可由透射P波与透射S波叠加而成,其能量分配服从Zoeppritz方程,不连续位移造成了透射波的衰减;法向刚度增加透射纵波系数会增加,而切向刚度与透射纵波无关,法向与切向刚度对透射S波均有影响,刚度增加透射S波振幅逐渐降低,逐步逼近于0;由于透射后波场相互干涉,不同波场延时不同,透射合成波与入射波相比,振幅降低,持续时间增加,波形尾段有畸变;总能量系数与节理面的刚度无关,而随入射角增加不断降低。 相似文献
20.
地震波在跨越岩体中节理时的透反射特性是岩石地下工程抗震分析问题中的重要基础,目前开展的研究工作中尚未有针对连续屈服（CY）非线性节理模型透反射特性的研究报导。在前人提出的非线性节理透反射系数时域递归法解答的基础上,将这一方法拓展至CY模型。并采用3DEC离散元软件,对比了CY模型的时域递归解与数值模拟结果的差异。在此基础上以时域递归解为手段,辅以离散元数值模拟,开展了CY模型的参数影响研究。最终比较了库仑（MC）模型与CY模型在正弦脉冲激励和真实地震动激励下表现的差异。结果表明：CY模型的时域递归解与3DEC数值模拟结果显示了良好的一致性,证明了时域递归解用以进行后续参数研究的合理性。法向应力、入射波幅值、节理初始刚度、节理间距等参数对CY模型具有显著影响。相比库仑模型,连续屈服模型可以更好地反映地震波穿越节理时发生的复杂力学现象,如切向刚度退化、抗剪强度劣化、法向应力依赖性、滞回现象等。研究成果可为岩石地下工程的抗震设计与分析工作提供一定参考。 相似文献