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震源动力学中破裂产生的地震动在层状介质中的传播模拟,是地震学以及地震工程学研究的前沿课题之一。本文通过建立精确的三维模型,选取具备灵活网格、高精度高效率计算性能的谱元法,利用有效抑制伪震荡的时间域离散方法——加权速度Newmark方法以及多次透射人工边界条件,进行了SCEC/USGS基准项目中TPV5模型的地震破裂过程模拟,得到基于层状介质模型和均匀介质模型(后者采用相同破裂模型)的埋深2km的震源参数结果。将二者进行对比,并具体分析破裂面位错、地震矩、破裂传播时间、上升时间和地表位移,发现层状介质对破裂过程的传播影响较为明显:① 层状介质的存在整体增加了破裂面上的位错,在层状介质模型下计算得到的地震矩约是均匀介质模型结果的1.3倍,因此认为层状介质增强了地震破裂过程中的能量释放;② 层状介质的存在使得破裂传播至地表的速度减慢,并缩短了地表各点的上升时间,增强了地表的地震动响应;③ 层状介质对于地表位移有着明显的增加作用,同时协同破裂面上的初始应力异常区域对位移峰值中心的改变有显著影响。④ 介质分异面附近地震动强烈。对结果进行整理后发现,在具有地下层状介质的地区要充分考虑层状介质产生的场地效应,否则可能会低估该地区的地震危险性。 相似文献
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Rayleigh波勘探方法在探测近地表横波速度、动力学特征等环境与工程地球物理领域获得了广泛应用.这种方法以弹性层状介质理论为基础,然而实际介质具有黏弹性,研究面波在层状黏弹性介质中的传播特征,将为近地表面波勘探提供有益帮助.在某些弹性层状介质模型中,例如存在低速夹层和强波阻抗差异地层模型,Rayleigh波相邻两条频散曲线彼此会非常靠近,产生看似彼此"交叉"的现象,即"osculation"现象,但对于黏弹性介质中的这种现象并没有进行相关的研究.本文利用Muller法计算层状黏弹性介质Rayleigh波频散方程,基于层状介质模型中Rayleigh波频散和衰减曲线连续的性质,结合本征位移曲线特征,分析二层黏弹性介质模型中Rayleigh波频散曲线"交叉"现象以及"交叉"点附近的波动特性.结果表明:与弹性介质相比,黏弹性介质中Rayleigh波的波动特性存在明显差异,随着介质对地震波的损耗越来越强,将导致Rayleigh波频散曲线发生"交叉"现象. 相似文献
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小生境遗传算法在地震CT中的应用研究 总被引:3,自引:1,他引:2
针对含单相饱和流体的孔隙介质,综合费马原理、等效孔隙介质理论、Radon变换等,提出了基于地震CT技术求解速度、孔隙度和岩石密度的小生境多参数反演算法.以此为基础,经过改进,形成了物性参数的隔离小生境反演算法.理论分析与实例计算结果表明,该方法简化了波在层状介质中的传播方程,具有一定的实用价值,可以有效解决井间测井地层问题,获得较高精度的地层物性参数;而且模型简单,有精度高、多峰优化等特点,可用于地下层状介质中油气的寻找,满足油气预测与勘探开发的要求. 相似文献
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采用Gauss Laguerre求积公式对层状介质井中电测地-井方式的ΔV1(电位梯度)、ρa参数进行了理论计算.大量的正演数据揭示在层状介质情况下,井中电测地-井方式观测可以获得台阶异常,与相应的地电层相对应;低阻覆盖层和中间低阻层对井中电测影响很大,厚层覆盖区对地-井方式观测不利;水槽模拟和应用实例表明,分析实测资料时,要考虑层状介质ΔV1、ρa的正常场特征,对实测数据进行正常场改正,分析正常场改正后的ΔV″1异常效果较好. 相似文献
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岩上层波速有随深度增加的总趋势。用浅层折射法记录到的折射波均属回折波。本文采用垂向速度梯度为不同正的常数多层水平层状介质模型,推导出回析波正反演公式,有简单解析表达式,据此解释的实测剖面,与验证孔波速测井资料相当吻合。表明在岩土层保持天然结构和横向比较均匀地区,回折波探测方法有良好应用前景。 相似文献
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针对低频Rayleigh表面波,设计了部分埋入式工字形截面周期波屏障。利用有限元方法计算了结构的频散曲线,分析了带隙的形成机理,讨论了屏障埋入土体深度和截面参数对带隙的影响,在此基础上设计了具有低频超宽衰减域的梯度及分段梯度波屏障并计算了其传输谱。结果表明:周期波屏障存在较宽带隙,板埋入深度和端部尺寸是影响带隙的关键参数,通过参数调节可实现不同频段Rayleigh波的调控。工字形变截面波屏障比等截面具有更优越的隔震性能且节省材料。梯度及分段梯度波屏障显著拓宽了衰减域的频率范围,对1.5~20 Hz范围内的Rayleigh表面波实现了全覆盖,用小尺寸控制了大波长。 相似文献
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Brigitte Endrun 《Journal of Seismology》2011,15(3):443-472
This study applies array methods to measure the relative proportions of Love and Rayleigh waves in the ambient vibration wavefield.
Information on these properties is of special relevance for frequencies around the horizontal-to-vertical (H/V) spectral amplitude
ratio peak. The analysis of H/V curves, a popular technique in site characterisation, commonly assumes that the curves represent
the frequency-dependent Rayleigh wave ellipticity. For the detailed interpretation of amplitudes or the inversion of the curves,
it is therefore necessary to estimate and correct for the contribution of other wave types to the ambient vibration wavefield.
I use available ambient vibration array measurements to determine the relative amount of Love and Rayleigh waves on the horizontal
components by frequency-dependent analysis of the main propagation and polarisation directions, with a special emphasis on
the H/V peak frequency as determined from the same recordings. Tests with synthetic data demonstrate the feasibility of this
approach, at least in the presence of dominant source regions. Analysis of the data from 12 measurements at nine European
sites, which include shallow as well as deep locations that span a wide range of impedance contrasts at the sediment-bedrock
interface, indicates that the relative contribution of Rayleigh waves varies widely with frequency, from close to 0% to more
than 70%. While most data sets show relative Rayleigh wave contributions between 40% and 50% around the H/V peak, there are
also examples where Love waves clearly dominate the wavefield at the H/V peak, even for a site with a low impedance contrast.
Longer-term measurements at one site indicate temporal variations in the relative Rayleigh wave content between day- and nighttime.
Results calculated with the method introduced herein generally compare well with results of modified spatial autocorrelation
analysis. These two methods might be used in a complimentary fashion, as both rely on different properties of the ambient
vibration wavefield. This study illustrates that it is possible to measure the relative Rayleigh wave content of the noise
wavefield from array data. Furthermore, the examples presented herein indicate it is important to estimate this property,
as the assumption that there are an equal proportion of Love and Rayleigh waves is not always correct. 相似文献
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S. K. Bose 《Pure and Applied Geophysics》1962,52(1):27-40
Summary A unification of the theories of Biot and Weiskopf has been made to form the suitable equations of motion for porous water saturated soils and marine sediments. It has been shown that the velocities of the body waves depend on the direction of propagation. In the vertical direction there are three, one distortional and two dilatational waves. In the horizontal direction there are two dilatational and two distortional waves. Finally, propagation of Love waves and Rayleigh waves have been discussed. Suitable potential functions have been derived to find the frequency equation for Rayleigh waves. 相似文献
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An analytical model for describing the propagation and attenuation of Rayleigh waves along the free surface of an elastic porous medium containing two immiscible, viscous, compressible fluids is developed in the present study based on the poroelastic equations formulated by Lo et al. [Lo WC, Sposito G, Majer E. Wave propagation through elastic porous media containing two immiscible fluids. Water Resour Res 2005;41:W02025]. The dispersion equation obtained is complex-valued due to viscous dissipation resulting from the relative motion of the solid to the pore fluids. As an excitation frequency is stipulated, the dispersion equation that is a cubic polynomial is numerically solved to determine the phase speed and attenuation coefficient of Rayleigh waves in Columbia fine sandy loam permeated by an air–water mixture. Our numerical results show that, corresponding to three dilatational waves, there is also the existence of three different modes of Rayleigh wave in an unsaturated porous medium, which are designated as the R1, R2, and R3 waves in descending order of phase speed, respectively. The phase speed of the R1 wave is non-dispersive (frequency-independent) in the frequency range we examined (10 Hz–10 kHz) and decreases as water saturation increases, whose magnitude ranges from 20% to 49% of that of the first dilatational wave with respect to water content. However, it is revealed numerically that the R2 and R3 waves are functions of excitation frequency. Given the same water saturation and excitation frequency, the phase speeds of the R2 and R3 waves are found to be approximately 90% of those of the second and third dilatational waves, respectively. The R1 wave has the lowest attenuation coefficient whereas the R3 wave attenuates highest. 相似文献
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《地震研究进展(英文)》2022,2(4):100179
In this study, A time-domain seismic response analysis method and a calculation model of the underground structure that can realize the input of seismic P, SV and Rayleigh waves are established, based on the viscoelastic artificial boundary elements and the boundary substructure method for seismic wave input. After verifying the calculation accuracy, a comparative study on seismic response of a shallow-buried, double-deck, double-span subway station structure under incident P, SV and Rayleigh waves is conducted. The research results show that there are certain differences in the cross-sectional internal force distribution characteristics of underground structures under different types of seismic waves. The research results show that there are certain differences in the internal force distribution characteristics of underground structures under different types of seismic waves. At the bottom of the side wall, the top and bottom of the center pillar of the underground structure, the section bending moments of the underground structure under the incidences of SV wave and Rayleigh wave are relatively close, and are significantly larger than the calculation result under the incidence of P wave. At the center of the side wall and the top floor of the structure, the peak value of the cross-sectional internal force under the incident Rayleigh wave is larger than the calculation result under SV wave. In addition, the floor of the underground structure under Rayleigh waves vibrates in both the horizontal and vertical directions, and the magnification effect in the vertical direction is more significant. Considering that the current seismic research of underground structures mainly considers the effect of body waves such as the shear waves, sufficient attention should be paid to the incidence of Rayleigh waves in the future seismic design of shallow underground structures. 相似文献
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This paper presents a relationship between the focal depth in terms of Rayleigh-wave wavelength and the dominant frequency
of Rayleigh waves generated in a homogeneous half-space. Rayleigh waves were simulated using a (2, 4) staggered grid P-SV wave finite difference algorithm with VGR-stress imaging technique as a free surface boundary condition. VGR is an acronym
for vertical grid-size reduction. The simulated seismic responses using P-wave and SV-wave sources at different focal depths revealed Rayleigh-wave generation up to certain focal depth only for the considered
frequency bandwidth. A shift of normalized spectral shape of Rayleigh wave towards lower frequency with increasing focal depth
was inferred. Largest spectral amplitude was obtained in the wavelength for which the ratio of focal depth to the wavelength
of Rayleigh wave was around 0.17 in the case of P-wave source and 0.9 in the case of SV-wave source. An exponential decrease of spectral amplitude of Rayleigh wave with the departure of the ratio of focal depth
to Rayleigh wave wavelength from the above mentioned values was obtained. 相似文献
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在地震荷载作用下,自由场地会产生土体侧向变形和地表响应放大现象。由于土体的高度非线性,计算自由场地地震响应时,不同的阻尼比及剪切模量取值是造成其计算结果与试验结果相差较大的原因之一。目前动力计算常采用瑞利阻尼方法,其系数取值会在一定程度上影响计算结果。选用两模态简化瑞利阻尼系数计算方法,分析土体阻尼比及控制频率的取值对计算结果的影响,对比离心机模型试验,利用开源有限元平台OpenSees,采用适合于土体动力分析的多屈服面本构模型(PDMY),建立剪切梁模型模拟三维自由场地,并分析瑞利阻尼参数对自由场地地震响应和侧向变形计算结果的影响。结果表明,针对相对密度为60%的Nevada干砂,阻尼比为4%、控制频率比为5时,场地响应计算结果与试验结果较为符合。综合分析显示场地非线性响应时域计算时,应特别注意选用的瑞利阻尼参数值。 相似文献
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瑞利波具有能量大、信噪比高等特点,可以用来反演介质内部的力学信息,近年来在浅层地球物理勘探、深层地震学研究以及超声波无损检测等多个领域都有较广泛的应用。目前大多数瑞利波的应用中都假设介质是弹性的,然而实际中岩石、土壤和金属等介质都在一定程度上体现出了黏弹性。当介质的黏弹性较强时仍然采用弹性假设研究其中瑞利波的反演将增大误差,因此有必要考虑黏弹性介质中的瑞利波反演,但是目前这方面的研究仍不够深入。本文研究黏弹性介质中瑞利波频散曲线和衰减系数曲线的反演问题,给出其在半空间中联合反演的方法,并对该方法的误差进行分析。 相似文献
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Hua‐You Chai Tian‐Bin Li Kok‐Kwang Phoon Elton J. Chen Dian‐Ji Zhang 《Geophysical Prospecting》2017,65(4):992-1003
In the free state, Rayleigh waves are assumed to travel in the form of planar wavefronts. Under such an assumption, the propagation behaviour of the modes of Rayleigh waves in layered half‐spaces is only frequency dependent. The frequency behaviour, which is often termed as dispersion, is determined by the shear wave velocity profile of layered soils within the depth related to wavelength (or frequency). According to this characteristic, the shear wave velocity profile can be back‐analysed from the dispersion. The technique is widely used in the surface wave testing. However, the wavefronts of Rayleigh waves activated by the surface sources are non‐planar. The geometric discrepancy could result in Rayleigh waves manifesting distance‐dependent behaviour, which is referred to as spatial behaviour in this paper. Conventional analysis ignoring this spatial behaviour could introduce unexpected errors. In order to take the effects of sources on the propagation behaviour into account, a new mathematical model is established for Rayleigh waves in layered elastic media under vertical disc‐like surface sources using the thin‐layer method. The spatial behaviour of the activated modes and the apparent phase velocity, which is the propagation velocity of Rayleigh waves superposed by the multiple modes, are then analysed. Aspects of the spatial behaviour investigated in this paper include the equilibrium path, the particle orbit, and the geometric attenuation of the activated Rayleigh waves. The results presented in this paper can provide some guidelines for developing new inverse mathematical models and algorithms. 相似文献