Statistical distribution of nonlinear random wave height in shallow water

Here we present a statistical model of random wave,using Stokes wave theory of water wave dynamics,as well as a new nonlinear probability distribution function of wave height in shallow water.It is more physically logical to use the wave steepness of shallow water and the factor of shallow water as the parameters in the wave height distribution.The results indicate that the two parameters not only could be parameters of the distribution function of wave height but also could reflect the degree of wave heigh...     

Effect of surface stress on magneto-elastic surface waves in finitely conducting media

This paper deals with the investigation of the effect of surface stress and conductivity on the propagation of surface wave in isotropic, homogeneous, elastic media under the action of a primary magnetic field. Formulation of the general surface wave propagation problem has been made, and the corresponding frequency equation has been derived. Frequency equations for Rayleigh wave, surface shear wave and Stoneley wave have been deduced from that of general surface wave as special cases. The effects of surface stress and magnetic field on the wave velocities and attenuation factors of Rayleigh wave and surface shear wave are shown by numerical calculations and graphs. Some important wave velocity equations, as obtained by other authors, have been deduced as special cases from the wave velocity equation for Stoneley wave. It is found that the combined effect of surface stress and magnetic field modulates the wave velocity ratios and attenuation factors of Rayleigh wave and surface shear wave to a considerable extent.     

基于能量密度的自解耦互相关成像条件

基于能量密度构建的弹性波能量成像条件,可以准确提取弹性波场的能量信息,并可以有效压制背向散射.但是该成像条件得到的成像结果将所有弹性波场能量信息耦合在一起,难以区分纯波模式的能量信息.为此,我们从势能及动能两方面将能量场解耦,得到纯纵波（PP）、纯横波（SS）、转换波（C）能量场.根据能量守恒定律,基于Helmholtz原理对位移场的空间导数进行因式分解,将弹性势能自解耦得到纯纵波、纯横波及转换波势能;引入体应力构建得到P波及S波速度,将弹性动能分解为纯纵波、纯横波和转换波动能.从而,构建基于能量密度自解耦得到纯波能量互相关成像条件.数值实验表明自解耦成像条件可实现弹性波场能量的分解,并得到背向散射压制、振幅有效保持的PP波、SS波和C波成像结果.     

Elastic wave propagation in inhomogeneous anisotropic media

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土坝体隐患弹性波探测中的横波优势

用于土坝体隐患探测中的弹性波波媒主要包括纵波、横波、表面波等等,由于组成土坝体不同介质结构特有的弹性波波速特性,选择横波作为弹性波勘探的波媒具有比纵波优越的地球物理前提条件,而且通常具有能量强、分辨率高、波成分相对简单、易于对比分辨(极性特征)等特点;当然,横波具有主频频率低、激发效率低等不利特征.但综合来看,在土坝体隐患探测中,选择弹性波勘探方法,还是以横波作为波媒具有明显优势.     

中层大气中重力波饱和机制的数值分析

通过对向上传播的重力波波包在中层大气中的非线性传播过程进行数值模拟,讨论中层大气中重力波的饱和机制.数值模拟结果表明,向上传播的重力波波包的扰动振幅在接近波包的本征水平相速度之前随高度单调增长,而当波振幅接近本征水平相速度时,在对流不稳定区域出现等位温面的翻转,同时波振幅的增长达到饱和（波振幅随高度不发生变化）.小尺度对流在等位温面的翻转和波饱和发生后产生,随后波包开始破碎,这些非线性过程的最终结果产生湍流.表明导致重力波饱和的关键因素是等位温面的翻转而不是诸如波破碎、湍流、波-流相互作用等其他的一些物理过程.     

Obliquely incident wave propagation across rock joints with virtual wave source method

Due to the presence of joints, waves are greatly attenuated when propagating across rock masses. Zhu et al. (2011) (Normally incident wave propagation across a joint set with virtual wave source method. J. Appl. Geophys.73, 283–288.) studied normally incident wave propagation across a joint set with the virtual wave source method (VWSM). The introduced VWSM has merits in some aspects, especially the capability of separating differently arriving transmitted waves. However, normal wave incidence is only the special case for wave incidence with arbitrary incident angles. Obliquely incident wave propagation across a joint set is more complicated than normally incident wave propagation due to wave transformation at the joints. As a continuation of the previous paper, this work is extended to analytically study obliquely incident wave propagation across joints with VWSM. Complete theoretical reflection and transmission coefficients across single joint described by displacement discontinuity model are derived through plane wave analysis. The superposition of P wave and S wave is for the first time mathematically expressed and studied. The VWSM is verified through comparison with the propagation matrix method. Through extensive parametric studies on wave transmission across single and multiple parallel joints, it is shown that transmitted wave energy is mainly constrained in the transmitted wave of the same type as the incident wave. And with increasing joint stiffness, the transmission coefficients across single joint increases except those whose wave type is different from the incident wave. The amplitude of superposed transmitted wave for P wave incidence increases with incident angle, which is coincident with field observations. Both joint spacing and number of joints have significant effects on transmission coefficients. We find that when joint spacing is sufficiently large, the transmission coefficient is no longer a constant as the normally incident wave propagation case (Zhu et al., 2011). And when joints are very closely spaced, wave attenuation depends little on the number of joints, which is different from the conclusions from equivalent medium method.     

Propagation properties of guided wave in the anchorage structure of rock bolts

We investigated the properties of guided wave propagating in grouted rock bolts and the formation of the interface wave through theoretical analysis along with experimental and numerical simulations. Experimental and numerical simulations reveal that the wave propagating in anchorage structure is related to boundary conditions within the range of excitation wave frequencies. Waves with different frequencies have different propagation velocities and attenuation characteristics. The optimal excitation wave occurs in grouted rock bolts with minimized attenuation and maximized propagation distance, and the end reflection of grouted rock bolts can be observed clearly. Longitudinal wave propagating in rock bolts is very sensitive to anchorage strength. With the increase of anchorage strength, longitudinal wave gradually attenuates and eventually disappears. Subsequently, interface wave appears and the velocity of wave propagating in the grouted part becomes that of the interface wave. Based on these studies, ultrasonic guided wave was used to study the end reflection of embedded rock bolts with different anchorage strengths and bonding lengths. The relationships among anchorage strength, bonding length and attenuation coefficient K, as well as the means to inspect the bonding quality of the embedded rock bolts were also evaluated.     

Wave-induced steady streaming,mass transport and net sediment transport in rough turbulent ocean bottom boundary layers

The interaction between two important mechanisms which causes streaming has been investigated by numerical simulations of the seabed boundary layer beneath both sinusoidal waves and Stokes second order waves, as well as horizontally uniform bottom boundary layers with asymmetric forcing. These two mechanisms are streaming caused by turbulence asymmetry in successive wave half-cycles (beneath asymmetric forcing), and streaming caused by the presence of a vertical wave velocity within the seabed boundary layer as earlier explained by Longuet-Higgins. The effect of wave asymmetry, wave length to water depth ratio, and bottom roughness have been investigated for realistic physical situations. The streaming induced sediment dynamics near the ocean bottom has been investigated; both the resulting suspended load and bedload are presented. Finally, the mass transport (wave-averaged Lagrangian velocity) has been studied for a range of wave conditions. The streaming velocities beneath sinusoidal waves (Longuet-Higgins streaming) is always in the direction of wave propagation, while the streaming velocities in horizontally uniform boundary layers with asymmetric forcing are always negative. Thus the effect of asymmetry in second order Stokes waves is either to reduce the streaming velocity in the direction of wave propagation, or, for long waves relative to the water depth, to induce a streaming velocity against the direction of wave propagation. It appears that the Longuet-Higgins streaming decreases as the wave length increases for a given water depth, and the effect of wave asymmetry can dominate, leading to a steady streaming against the wave propagation. Furthermore, the asymmetry of second order Stokes waves reduces the mass transport (wave-averaged Lagrangian velocity) as compared with sinusoidal waves. The boundary layer streaming leads to a wave-averaged transport of suspended sediments and bedload in the direction of wave propagation.     

地震波在热弹性介质中的衰减性质及其相应Q值的计算方法

该文得出热弹性介质中波的基本形式有准弹性纵波、横波和具有有限传播速度的温度波,并指出横波在传播过程中同其在完全弹性介质中一样是不衰减的,而准弹性纵波和温度波是相互伴随的、衰减的。其次,给出了具有两种不同传播速度的准弹性纵波的基本形式。最后,将地震P波看作由初始位移扰动的准弹性纵波,就固定频率和固定波长两种情况分别给出了相应Qr值的计算公式和近似公式。通常人们是利用多台的地震波资料在空间域中计算Qr值,而本文得到的时间域中Qr值的近似公式,为利用单台地震P波资料计算Qr值提供了一种方法。     

来自海底高速层径向波的理论地震图研究

本文利用各向异性反射率技术计算理论地震图,提出海底高速薄层会产生沿高速层水平传播的波（简称径向波）,这种波在水层中作为P波,在固液界面激发下行横波,该均匀横波以临界角入射高速薄层,在层内作为超临界角的非均匀横波水平传播,再以临界角转换为上行传播的均匀横波,最终在固液界面上行透射转换为水层中P波.高速薄层传播的径向波不同于界面折射波,也不同于具有频散的面波和通道波.理论地震图的研究表明,径向波具有线性时距,能与海底强反射具有同等振幅水平;径向波有其振幅、时距位置和斜率这些观测记录参数,分别对应高速层的厚度、深度和近似的横波速度;径向波可以克服折射波解释中遇到的振幅强弱和高速层速度等困难.径向波可作为探测海底高速薄层的有力工具,对于研究高速层屏蔽、海底反射类型的多样性和相应的资料处理解释有重要意义.     

井间地震物理模拟研究

井间地震资料具有极高的分辨率,但是,其波场十分复杂,特别是有效一次反射波场能量较弱,且往往被管波等强相干干扰淹没,波场的识别与分离难度较大.地震物理模拟技术是认识复杂地震波场的有效手段.我们通过单一地质体模型、复杂地质体模型和真实井间模拟模型等多种逼真地质模型的物理模拟,揭示了井间地震观测下直达波、透射波、反射波、折射波,多次波和导波等各类波型的特征.物理模拟试验表明,在炮检域平面上分析直达波的信噪比与能量分布,可以使处理人员对旅行时的误差有更直观的认识.所以识别初至与拾取旅行时间时,不仅要在共震源点道集(CSG)上分析拾取,而且还要在共炮检距道集(COG)上分析拾取,这样就提高了直达波识别的可靠性与拾取时间的精度.     

南阳盆地特殊震相研究

南阳盆地内发生的地震在仪器记录图上与其他地震波形有所不同,在直达横波正常出现后立即开始衰减,紧接着二次出现大振幅、大周期波形。对此进行了分析,证明在南阳地区地壳中存在一个硬度较大的界面,地震波到达该界面时发生反射,反射波与直达波叠加,即出现了第二个较大振幅的波形。     

大型直流电压发生器塔架结构地震响应分析

本文以某一大型直流电压发生器塔架结构为例,建立有限元计算模型,采用调幅正弦五波、Taft地震波、El-Centro地震波、云南澜沧地震波和正弦三波5种地震动输入,通过数值计算,讨论了不同输入地震波对于结构抗震设计的影响。结果表明,地震作用效应在这类特种结构的组合响应中起重要影响,采用调幅正弦五波、正弦三波作为地震输入,过分夸大了实际的地震作用效应。最后,对这类特种结构的输入地震动提出了相应建议。     

Theoretical analysis of non‐geometric PS‐waves recorded at the water bottom interface

When a seismic source is placed in the water at a height less than a wavelength from the water–solid interface, a prominent S‐wave arrival can be observed. It travels kinematically as if it was excited at the projection point of the source on the interface. This non‐geometric S‐wave has been investigated before, mainly for a free‐surface configuration. However, as was shown in a field experiment, the non‐geometric S‐wave can also be excited at a fluid–solid configuration if the S‐wave speed in the solid is less than the sound speed in the water. The amplitude of this wave exponentially decreases when the source is moved away from the interface revealing its evanescent character in the fluid. In the solid, this particular converted mode is propagating as an ordinary S‐wave and can be transmitted and reflected as such. There is a specific region of horizontal slownesses where this non‐geometric wave exists, depending on the ratio of the S‐wave velocity and the sound speed of water. Only for ratios smaller than 1, this wave appears. Lower ratios result in a wider region of appearance. Due to this property, this particular P‐S converted mode can be identified and filtered from other events in the Radon domain.     

全波震相分析的应用

全波震相分析法是以弹性波传播理论为基础,以现代数字技术为手段,对地震波进行全面综合分析的理论和方法.它既包括对单一分量震波观测记录中的各种震相的识别、确认和分析,又包括对多分量震波记录的合成、分析和图示.全波震相分析法涉及震源、射线路径、初动、走时、振幅、波形、时域和空域的瞬态谱、质点振动矢量等诸多方面,因而能更全面地揭示地震波场与地下介质之间的关系.本文以实例展示在不同领域的研究中全波震相分析的应用情况.全波震相分析法为实现多种波型的联合应用奠定了理论基础,并提供了新的方法.     

Climate change impact on waves in the Bay of Biscay, France

The knowledge of offshore and coastal wave climate evolution towards the end of the twenty-first century is particularly important for human activities in a region such as the Bay of Biscay and the French Atlantic coast. Using dynamical downscaling, a high spatial resolution dataset of wave conditions in the Bay of Biscay is built for three future greenhouse gases emission scenarios. Projected wave heights, periods and directions are analysed at regional scale and more thoroughly at two buoys positions, offshore and along the coast. A general decrease of wave heights is identified (up to ?20?cm during summer within the Bay off Biscay), as well as a clockwise shift of summer waves and winter swell coming from direction. The relation between those changes and wind changes is investigated and highlights a complex association of processes at several spatial scales. For instance, the intensification and the northeastward shift of strong wind core in the North Atlantic Ocean explain the clockwise shift of winter swell directions. During summer, the decrease of the westerly winds in the Bay of Biscay explains the clockwise shift and the wave height decrease of wind sea and intermediate waves. Finally, the analysis reveals that the offshore changes in the wave height and the wave period as well as the clockwise shift in the wave direction continue toward the coast. This wave height decrease result is consistent with other regional projections and would impact the coastal dynamics by reducing the longshore sediment flux.     

Reflection and Transmission Coefficients for an Incident Plane Shear Wave at an Interface Separating Two Dissimilar Poroelastic Solids

Using Biot’s poroelasticity theory, we derive expressions for the reflection and transmission coefficients for a plane shear wave incident on an interface separating two different poroelastic solids. The coefficients are formulated as a function of the wave incidence angle, frequency and rock properties. Specific cases calculated include the boundary between water-saturated sand and water-saturated sandstone and the gas–water interface in sand. The results show a very different interface response to that of an incident P wave. Plane SV wave incidence does not significantly excite the Biot slow P wave if the frequency of the wave is below the transition frequency. Above this frequency, an incident plane SV wave can generate a mode-converted slow Biot P wave which is actually a normal propagating wave and not highly attenuating as in the usual (diffusive) case. For an incident SV wave onto a gas–water interface, even at very high frequency, there is no significant Biot second P wave produced. For small incident angles, the gas–water interface is essentially transparent. With increasing angles, there can arise an unusual "definitive angle" in the reflection/transmission coefficient curves which is related to the change of fluid viscosity on both sides of the interface and provides a possible new means for underground fluid assessment.     

地震横波勘探及其在浅层岩土分层中的应用

简单论述了横波的基本特点,指出在松散层勘探中,横波勘探的优势主要在于探测精度高且不受饱水度的影响.因此,可以选择地震横波勘探进行第四纪松散层层序划分及厚度探测.并以广州市城市地质调查项目为例,介绍了地震横波勘探在浅层地层勘测中的数据采集方法,分析了地质解释依据,并结合波速测井方法对地层层面进行了划分.分析结果表明了多数岩土层与反射界面有较好的对应关系,用地震横波勘探结合波速测井进行第四纪松散层层序划分及厚度探测是可行的.