共查询到20条相似文献，搜索用时 31 毫秒
1.
Using shallow water equations on an equatorial beta plane, the nonlinear dynamics of the equatorial waves is investigated. A general mathematical procedure to study the nonlinear dynamics of these waves is developed using the asymptotic method of multiple scales. On faster temporal and spatial scales the equations describe the equatorial wavesviz, the Rossby waves, Rossby gravity waves, the inertia gravity waves and the Kelvin waves. Assuming that the amplitude of these waves are functions of slower time and space scales, it is shown that the evolution of the amplitude of these waves is governed by the nonlinear Schrodinger equation. It is then shown that for the dispersive waves like Rossby waves and Rossby-gravity waves, the envelope of the amplitude of the waves has a ‘soliton’ structure. 相似文献
2.
G. I. Dolgikh V. V. Novotryasov A. N. Samchenko I. O. Yaroshchuk 《Doklady Earth Sciences》2015,465(2):1278-1282
The existence of sedimentary waves at depths ranging from 50 to 100 m in Peter the Great Bay of the Sea of Japan has been discovered and substantiated as a result of geological and geophysical experiments. The experimental and theoretical studies have made it possible to conclude that the sedimentary waves form in the depth range specified due to processes related to the disintegration of nonlinear gravity waves. 相似文献
3.
A simple compact equation for gravity water waves, which includes a nonlinear wave term and advection term, is derived. Numerical simulations in the framework of this equation demonstrate an initial stage of freak wave breaking. 相似文献
4.
反演瑞雷波频散曲线能有效地获取横波速度和地层厚度,传统的多模式瑞雷波频散曲线反演需要正确的模式判别.然而,当地层中含有低速软弱夹层或高速硬夹层等复杂结构时,瑞雷波可能会出现"模式接吻"和"模式跳跃"等现象,这些现象极易造成模式误判,进而导致错误的反演结果;同时,传统的频散曲线反演方法需要进行求根运算,进而导致现有的瑞雷波非线性反演速度慢,运算时间长.鉴于此,对传统的Haskell-Thomson频散曲线正演模拟算法进行了改进,提出了一种新颖有效的目标函数.该目标函数直接利用实测频散曲线与迭代更新模型频散函数表面形状进行最佳拟合,无需将多模式频散数据归于特定的模式,可有效避免多模式瑞雷波频散曲线反演模式误识别;同时,该目标函数不需要求根运算,进而大大加快了非线性反演速度.基于粒子群优化算法,利用实际工作中经常遇到的3种典型理论地质模型和某一高速公路路基实测资料进行了理论模型试算和实例分析,检验了本文提出的瑞雷波多模式频散曲线反演新方法的有效性和实用性. 相似文献
5.
A dispersion relation has been obtained for waves propagating in an inhomogeneous gas with viscosity and gravity in the direction
of the density gradient. It has been shown that a stationary distribution of isothermal gas is unstable under gravitational—convective
perturbations. It is suggested that the initialand boundary-value problems of the non-stationary dynamics of an isothermal
gas with gravity but without viscosity are incorrect and require regularization, for example, by adding viscosity. The presence
of viscosity does not prevent the development of the Jeans long-wave instability. Numerical experiments based on a fully three-dimensional,
non-stationary numerical code have demonstrated the development of a collapse inside an isothermal cloud. 相似文献
6.
饱和半无限体表面透水性会影响表面波（瑞利波和斯通利波）存在及其传播特性。在表面透水情况下,只有瑞利波存在,而在不透水情况,不仅有瑞利波而且还有斯通利波。表面波在工程勘探及声波测试中扮演很重要角色,因此,有必要研究表面透水性对表面波传播特性的影响。采用薄层法,将表面波频率方程根的搜索问题转换成求特征值问题。根据表面波沿深度衰减特性,从一组计算的特征值及特征向量中筛选出与表面波对应特征值、特征向量,由特征值得到表面波频率特性（频散和衰减特性）,由特征向量得到孔隙压力、骨架位移随深度变化,进而分析在表面不透水情况下瑞利波和斯通利波影响深度及程度。 相似文献
7.
二维密度界面的遗传算法反演 总被引：8，自引：0，他引：8
二维密度界面的反演可表述成非线性优化问题，本文用遗传算法进行反演计算，首先把连续的密度界面分割成若干单元，在单元中用形函数拟合，再用高斯积分求解重力异常值，把约束条件和拟合方差组合成目标函数，用园柱体和二维盆地模型的反演实例表明，用遗传算法，反演二维密度界面是可行的 相似文献
8.
浅水湖泊等有限风吹程及水深水域的风浪多处于发展阶段，风拖曳表层水体产生的滑移流会对风浪传播特性产生影响，风浪的波速、波长等参数难以通过线性波的理论频散关系获取。为准确预测湖泊风浪参数，在考虑浅水湖泊的有限吹程和水深特征的基础上，利用风洞水槽模拟研究了滑移流对风浪传播特性的影响。结果表明：滑移流、斯托克斯流及表面流均与风速正相关，滑移流与表面流比值随着风速的增加逐渐降低并稳定于75%；滑移流对波速和波长有促进作用，对小尺度波浪的促进作用尤其显著；波浪非线性会抑制滑移流对波速及波长的促进作用；建立了考虑滑移流影响的风浪经验频散关系式以及风浪主频波速经验关系式。 相似文献
9.
浅水湖泊等有限风吹程及水深水域的风浪多处于发展阶段，风拖曳表层水体产生的滑移流会对风浪传播特性产生影响，风浪的波速、波长等参数难以通过线性波的理论频散关系获取。为准确预测湖泊风浪参数，在考虑浅水湖泊的有限吹程和水深特征的基础上，利用风洞水槽模拟研究了滑移流对风浪传播特性的影响。结果表明:滑移流、斯托克斯流及表面流均与风速正相关，滑移流与表面流比值随着风速的增加逐渐降低并稳定于75%；滑移流对波速和波长有促进作用，对小尺度波浪的促进作用尤其显著；波浪非线性会抑制滑移流对波速及波长的促进作用；建立了考虑滑移流影响的风浪经验频散关系式以及风浪主频波速经验关系式。 相似文献
10.
The propagation of elastic waves along a cylindrical borehole filled with/without liquid and embedded in an infinite porous
medium saturated by two immiscible fluids has been studied. The theory of porous media saturated by two immiscible fluids
developed by Tuncay and Corapcioglu (1997) is employed. Frequency equations determining the phase velocity of axial symmetric
waves are obtained. It is found that the surface waves along cylindrical borehole are dispersive. The dispersion equation
of Rayleigh-type surface waves along the boundary of a poroelastic solid half-space saturated by two immiscible fluids is
also obtained. Some special cases have been deduced and the dispersion curves are obtained numerically for a peculiar model.
It is found that the density of fluids affects the Rayleigh mode. 相似文献
11.
双重孔隙介质中P1波在自由边界上的反射 总被引：1，自引：0，他引：1
对双重孔隙介质波动中的体波及P1波在半空间自由透水和不透水边界上的反射问题进行了详细的理论求解。通过数值计算,对双重孔隙介质中4种体波的弥散和衰减特性,以及不同边界上反射波振幅反射系数随P1波入射角和频率的变化进行了分析。结果表明：（1）P1、P2、P3和S波均具有弥散和衰减特性,P1波传播最快而衰减最慢,P3波传播最慢而衰减最快;（2）随着入射角的增大,反射P2、P3和S波的振幅反射系数均先增大后减小,反射P1波则先减小后增大,且边界透水条件对反射P2和P3波的振幅反射系数影响显著,对P1和S波的影响较小,但透水和不透水边界下振幅反射系数随入射角的变化趋势一致;（3）反射P2、P3波的振幅反射系数均随频率的增大而增大,且不透水边界下反射P2波的振幅反射系数大于透水边界下的反射系数,而反射P3波则相反;（4）随着频率增大,透水边界下反射P1波的振幅反射系数先增大后减小,不透水边界下先减小后增大再减小,反射S波的振幅反射系数随频率变化情况则与P1波相反。 相似文献
12.
K. Sundaralingam 《Tectonophysics》1982,87(1-4)
Phase and group velocity dispersions of fundamental mode Rayleigh waves for the path Port Moresby-Rabaul have been computed. The structural interpretation of dispersion curves for the Solomon Sea reveals the channel shear velocity as about 4.35 km/s and the channel starts around 95 km below the earth's surface. In other words, the elastic velocities-depth structure beneath the Solomon Sea is very similar to that beneath the northern part of the Western Mediterranean Basin. Further, group velocity dispersion of fundamental mode Rayleigh waves at the PMG and the RAB seismic stations have been computed. The structural interpretation of a dispersion curve for the orogenic belt of Papua New Guinea reveals a crust of about 62.5 km thick and uppermost mantle shear velocity of about 4.3 km/s. 相似文献
13.
The propagation velocity of certain elastic waves (so-called surface waves) in vertically inhomogeneous materials is dispersive. The dispersion determination is however frequently ambiguous. To verify the signal analysis reliability and to estimate the dispersive character of the waves an algorithm for dispersive waveform calculation was designed. It is based on the summation of frequency components, with shifts corresponding to the velocity dispersion and distance. The knowledge of physical parameters of the medium is not required. The resulting waveform only contains an individual dispersive wave of the selected mode, thus being particularly suitable for testing of methodologies for dispersive wave analysis. 相似文献
14.
针对含有软夹层介质的地质模型,研究其瑞利波合并化频散曲线随夹层厚度和埋深的变化规律,分析产生“之”字形现象的根本原因。利用传递矩阵方法计算瑞利波多模式频散曲线,以及它们在自由表面的垂直位移强度,分别按能量最大法和相对位移权值法获得合并化的频散曲线,从而获得软夹层厚度或埋深变化的合并化频散曲线。由计算结果分析可知,两种方法所获得的频散曲线的整体变化规律基本相同,“之”字形随软弱夹层厚度的增加或埋深的变浅而增多;按能量最大法合成的频散曲线,“之”字形现象的出现是由于模式之间的跳跃所引起;按位移权值法计算合成频散曲线时,产生“之”形的原因是由于从单个模式的位移占优跳至多模式的位移共同占优所致。 相似文献
15.
利用高频面波反演横波速度一直是浅地表地震工程研究的热点。为深入认识利用高频面波（瑞雷波和勒夫波）评价横波速度的能力,本文首先采取高阶交错网格有限差分法实现两层模型的瑞雷波和勒夫波数值模拟,并应用τ-p变换形成频散能量图。相比瑞雷波,不同模式的勒夫波频散能量很接近,这说明易于实现多模式勒夫波反演。然后利用线性映射实现广义模式识别这种非线性反演方法对含软弱夹层的四层模型的基模式、多模式瑞雷波和勒夫波的变厚度反演。若初始模型很拙劣,相比勒夫波,瑞雷波基模式反演不能重建地层中含有软弱夹层这一特征,瑞雷波多模式反演则可以重建这一特征;勒夫波基模式和多模式反演都可以重建这一特征。即使在地层的泊松比与估计值相差很大时,瑞雷波多模式反演仍能重建地层结构,但其频散曲线总是存在"模式接吻"现象,容易模式误判;而勒夫波反演则不用估计地层泊松比,也不存在"模式接吻"现象。一系列算例表明：高模式瑞雷波的加入会显著提高横波速度评价结果的精度;而高模式勒夫波的加入会令反演系统对半空间以上异常层的参数过于敏感,造成参数过度估计,但也会显著提升对半空间横波速度的评价能力。最后,应用本文方法实现了对实测勒夫波数据的分析。 相似文献
16.
This article focused on the research progress in the gravity wave analysis based on satellite measurements including MODIS, AIRS, AMSU, MLS, DNB, COSMIC,HIRDLS and SOFIE. Besides, a few ground-based observation results and numerical models were briefly introduced and some cases of joint applications of satellite observations with ground-based observations and numerical models in the gravity waves were listed. In general, the satellite remote sensing data play an important role in the study of the characteristics in near-space environment, which can be applied to analyze the scales of gravity waves induced by different sources, correlations between the instabilities and waves as well as their patterns, the impacts in the climate process, wave-wave interactions and wave-flow interactions with other data. 相似文献
17.
为了较好地模拟给定模型在随机源激发下产生的稳定波场信息,为微动信号的检验和数据特征分析等提供理论依据,采用交错网格有限差分方法模拟微动信号,并根据瑞雷波和勒夫波的产生机理,通过测区内震源的分布情况估测微动信号中面波的组成成分。首先建立交错网格有限差分法模拟微动信号的数值模型,然后给出估测微动信号中面波组成成分的算式,最后采用典型方法数值模拟微动信号,应用空间自相关方法提取模拟信号中面波的频散曲线进行分析对比。结果表明,交错网格有限差分方法模拟得到的微动信号更符合实测结果。 相似文献
18.
R. Tatavarti A. C. Narayana P. Manoj Kumar Shyam Chand 《Journal of Earth System Science》1999,108(1):57-68
Field experiments conducted in the nearshore ocean to understand the dynamics of mudbank off Kerala, south-west coast of India,
are highlighted. Real time monitoring of the nearshore ocean off Purakkad, Kerala was accomplished using pressure transducers
for nearshore surface wave measurements, and current sensors for nearshore velocity measurements. Comprehensive information
on the spatial structure of mudbank was obtained from aerial surveys. Extensive data collected on surface waves and currents
in the nearshore ocean, indicate that the infra-gravity (IG) waves (leaky modes and trapped edge wave modes), and far infra-gravity
(FIG) waves coupled with strong shoreline reflections and undertow play an important role in the dynamics associated with
the mudbanks off Kerala during the monsoon season. During the non-monsoon season evidence for progressive edge waves in the
infragravity frequency band, an energetic gravity wave band and a strong undertow with weak reflections was observed. 相似文献
19.
Anup Saha Santimoy Kundu Shishir Gupta Pramod Kumar Vaishnav 《Journal of Earth System Science》2016,125(4):885-895
The present paper is concerned with the propagation of torsional surface waves in an initially stressed anisotropic porous layer sandwiched between homogeneous and non-homogeneous half-space. We assume the quadratic inhomogeneity in rigidity and density in the lower half-space and irregularity is taken in the form of rectangle at the interface separating the layer from the lower half-space. The dispersion equation for torsional waves has been obtained in a closed form. Velocity equation is also obtained in the absence of irregularity. The study reveals that the presence of irregularity, initial stress, porosity, inhomogeneity and anisotropy factor in the dispersion equation approves the significant effect of these parameters in the propagation of torsional waves in porous medium. It has also been observed that for a uniform media, the velocity equation reduces to the classical result of Love wave. 相似文献
20.
一种高频面波频散函数的快速算法—改进的Abo-Zena法 总被引：4，自引：0，他引：4
作者在本文中首先介绍了改进的Anas Abo-Zena传递矩阵法面波频散函 数的计算问题。这是一种高频时稳定的算法，适用于一般地基勘查和无损检测的面波频散函数计算。其次，还讨论了用Monte Carlo法求解面波频散函数的问题。并用这种算法和Newton迭代法进行了对比，显示了对于Newton迭代法不能计算的速度逆转剖面（即层速度自上而下逐层减递），Monte Carlo法也适用。 相似文献