Effect of shallow water internal waves on ocean acoustic striation patterns

Abstract

Contour plots of underwater acoustic intensity, mapped in range and frequency, often exhibit striations. It has been claimed that a scalar parameter ‘beta’, defined in terms of the slope of the striations, is invariant to the details of the acoustic waveguide. In shallow water, the canonical value is β=1. In the present paper, the waveguide invariant is modelled as a distribution rather than a scalar. The effects of shallow water internal waves on the distribution are studied by numerical simulation. Realizations of time-evolving shallow water internal wave fields are synthesized and acoustic propagation simulated using the parabolic equation method. The waveguide invariant distribution is tracked as the internal wave field evolves in time. Both random background internal waves and more event-like solitary internal waves are considered.     

Coherence of acoustic modes propagating through shallow water internal waves

The 1995 Shallow Water Acoustics in a Random Medium (SWARM) experiment [Apel et al., IEEE J. Ocean. Eng. 22, 445-464 (1997)] was conducted off the New Jersey coast. The experiment featured two well-populated vertical receiving arrays, which permitted the measured acoustic field to be decomposed into its normal modes. The decomposition was repeated for successive transmissions allowing the amplitude of each mode to be tracked. The modal amplitudes were observed to decorrelate with time scales on the order of 100 s [Headrick et al., J. Acoust. Soc. Am. 107(1), 201-220 (2000)]. In the present work, a theoretical model is proposed to explain the observed decorrelation. Packets of intense internal waves are modeled as coherent structures moving along the acoustic propagation path without changing shape. The packets cause mode coupling and their motion results in a changing acoustic interference pattern. The model is consistent with the rapid decorrelation observed in SWARM. The model also predicts the observed partial recorrelation of the field at longer time scales. The model is first tested in simple continuous-wave simulations using canonical representations for the internal waves. More detailed time-domain simulations are presented mimicking the situation in SWARM. Modeling results are compared to experimental data.     

反演声场简正波耦合系数矩阵

研究了有内波传播时声场的耦合简正波形式,分析表明各阶简正波系数的时间信号包含多个频率成分,各成分的频率为对应的两地波数差与内波速度的乘积,各频率成分的振幅与对应简正波之间的耦合系数成正比。因此即使内波的波形不随其传播而变化,接收器处的各阶简正波系数仍然具有多频的复杂结构。由此并根据简正波耦合强度与声场简正波系数起伏强度的对应关系提出了一种反演简正波耦合系数矩阵的方法;并用实验中获得的内波数据,反演了声场;计算结果表明:该方法有效地反演了内波传播情况下的简正波耦合系数矩阵。     

浅海内波环境下声场时间相关特性

浅海内波是导致声场时间相关半径减小的一个重要原因.利用2015年南中国海声传播起伏实验,对比分析了线性内波以及孤立子内波环境下声场时间相关半径的统计特性.实验数据(175～225 Hz)表明,大振幅孤立子内波的存在极大地降低了声场的时间相关半径,声场时间相关半径从线性内波环境下的1～3 h,降低为孤立子内波环境下的小于...     

一种浅海声矢量场干涉结构提取方法

针对浅海Pekeris环境下声矢量场的干涉特征,基于简正波理论分析了在频率-距离域上声强谱、质点振速自谱、复声强谱和波阻抗谱干涉结构的形成机理,探讨了对干涉结构的波导不变量表征,并进行了宽带辐射声场干涉结构的海上测量试验。仿真研究和海试数据分析均表明,在频率-距离域上,上述4类物理量都会呈现稳定的、可用波导不变量β表征的干涉结构,而复声强独有的纯干涉分量更能体现波导的干涉效应。最后引入多尺度线性滤波器对海试实测LOFAR图进行处理,处理结果表明该滤波器可有效地增强干涉特征,更利于检测和提取干涉图案中的条纹信息。     

海洋内波对水下声场的影响

海洋内波是海水内部的波动之一,它与海洋表面的海浪运动有着非常不同的物理特征。海洋内波会引起海水温度剖面发生剧烈的波动,这种波动具有很强的方向性和时变性,对水下声传播影响巨大,并展现出一些很奇特的声波导效应(包括二维波导效应和三维波导效应),给水下目标的探测与定位以及水声通信等带来严重影响。海洋内波对声场的影响研究涉及到海洋动力学和水声学两个学科领域,文章重点介绍海洋内波对声场影响研究领域的相关进展,并对内波环境下典型声波导现象进行了讨论,最后对该领域未来的发展进行了总结和展望。     

Predicting acoustic effects of internal waves from the basic climatology of the world ocean

Internal waves of a given strength will produce acoustic effects that vary from water mass to water mass. Presented here is a means of predicting the strength of acoustic fluctuations due to internal waves, given the basic climatology, that is, measurements of depth, temperature, and salinity of an oceanic region. An acoustic fluctuation strength parameter F is defined as the ratio of the fractional potential sound-speed change to the fractional potential-density change. Here F is calculated at three depth levels (275, 550, and 850 m), on a one-degree grid of latitude and longitude, using NODC/OCL's World Ocean Atlas 1994. Representative values of F are presented for 15 upper water masses that range from F = 5 in the North Pacific to F = 34 in the North Atlantic, with a typical value for most of the upper waters being F = 15. Results for two depth levels within 12 intermediate water masses range from F = 7 in the North Pacific to F = 62 in the North Atlantic, with a typical value of F = 20, although there is considerable variation. In general, F exhibits higher values in the Atlantic Basin than in the Indian or Pacific, and has a maximum at 550 m. The main use of F will be the prediction of travel-time fluctuations in acoustic propagation experiments, which will be proportional to the value of F, given a universal strength of internal waves.     

Frequency dependence and intensity fluctuations due to shallow water internal waves

A theory and experimental results for sound propagation through an anisotropic shallow water environment are presented to examine the frequency dependence of the scintillation index in the presence of internal waves. The theory of horizontal rays and vertical modes is used to establish the azimutal and frequency behavior of the sound intensity fluctuations, specifically for shallow water broadband acoustic signals propagating through internal waves. This theory is then used to examine the frequency dependent, anisotropic acoustic field measured during the SWARM'95 experiment. The frequency dependent modal scintillation index is described for the frequency range of 30-200 Hz on the New Jersey continental shelf.     

浅海孤子内波对水平纵向相关性的影响*

基于理论和模型仿真对孤子内波存在下的水平纵向相关系数的变化进行了研究。理论上推导出浅海孤子内波存在情况下的声场水平纵向相关系数随时间的变化规律,并且运用二维抛物方程模型（Ram）验证理论推导结果。结果表明,孤子内波会导致水声纵向相关系数的变化,并且水平纵向相关系数的变化是由于简正波的干涉所导致。我们给出特定环境下的水平纵向相关系数随时间变化的结果,当环境中第一、二号简正波占主导地位时,水平纵向相关系数会呈现出周期变化的结果。     

The intensity coherence function of time for partially saturated acoustic propagation through ocean internal waves

The intensity coherence function of time for partially saturated acoustic propagation through internal waves is calculated with a method that is improved over previous treatments. Two specific improvements are introduced: the usual expansion in (1/lambdaphi2) is carried out to a higher order, and then the terms of that expansion are calculated with a new perturbative method. The method is applied to propagation without a sound channel, for both phase-screen and continuous-medium cases. The validity of the new perturbative method is estimated by calculating the next order error terms. Accuracies at the few-percent level are found. The new analytic formulas are also corroborated with numerical integration. Finally, the method is applied to a specific ocean-acoustic experiment [Azores Fixed Acoustic Range (AFAR)]. In order to achieve good agreement with experiment it will be necessary to add an accurate treatment of the sound channel to the present perturbation method.     

浅海中内波对匹配场时间相关的影响

利用一次夏季浅海水文实验资料,数值仿真研究有线性内波和孤立子内波存在条件下的匹配场时间相关性.考察和总结了有内波存在时不同声源频率、声源深度和内波幅度等参数对匹配场时间相关的影响.研究结果表明:由于内波与声场的相互作用,匹配场时间相关长度会随着线性内波的平均能流密度及孤立子内波幅度的增大而减小;频率越高,声波穿过内波场时的匹配场时间相关下降的越快;声源位于跃层下时的匹配场时间相关明显的优于跃层上的情况;孤立子内波距声源的位置对匹配场时间相关影响相对较小.     

浅海内孤立波动态传播过程中声波模态强度起伏规律

内孤立波是一种常见于浅海海域的非线性内波,具有振幅大、周期短和流速强等特点,它通过扰动水体中的温盐分布使声速剖面产生明显的距离依赖性,进而影响水下声传播特性.内波自生成后通常以1 m/s量级的速度传播,运动的内波使声传播路径上的声波模态能量在空间和时间上剧烈起伏.本文定义模态强度为模态系数模值(模态幅度)的平方,并用其衡量各阶模态所含声能量的大小.文中基于耦合简正波理论,推导了内波运动时声波模态强度起伏的表达式,将模态强度表征为振荡项和趋势项的线性叠加.以往的工作大多局限于单独从时域或频域研究内波运动时声波模态强度的时变规律,本文则结合短时傅里叶变换在时频平面上揭示了模态强度的起伏机理.理论推导和数值仿真均表明内孤立波使各阶声波模态之间发生能量交换,即模态耦合.内波的动态传播进一步引起模态干涉,这种干涉效应表现为模态强度中的振荡项并使模态强度随时间快速起伏.受模态剥离效应(不同阶模态之间衰减系数的差异)的影响,趋势项的幅度随时间不断变化,进而对模态干涉引起的振荡叠加了时变的偏置.模态强度的整体走势和振荡项中各频率分量振幅的时变特征均与模态衰减密切相关.同时,本文使用深度积分声强作为总接...     

The effects of the internal waves on temporal correlation of matched-field processing in shallow water

Effects of linear and solitary internal waves on the temporal correlation of matched-field processing(MFP) in shallow water are numerically investigated for acoustic sources with different frequencies and depths based on oceanographic data from an experiment.It is shown that the temporal correlation of MFP decreases as the amplitude of solitary internal waves or the average energy density of linear internal waves increases.For acoustic source with lower frequency or located below the thermocline,the temp...     

Rogue waves in shallow water

Most of the processes resulting in the formation of unexpectedly high surface waves in deep water (such as dispersive and geometrical focusing, interactions with currents and internal waves, reflection from caustic areas, etc.) are active also in shallow areas. Only the mechanism of modulational instability is not active in finite depth conditions. Instead, wave amplification along certain coastal profiles and the drastic dependence of the run-up height on the incident wave shape may substantially contribute to the formation of rogue waves in the nearshore. A unique source of long-living rogue waves (that has no analogues in the deep ocean) is the nonlinear interaction of obliquely propagating solitary shallow-water waves and an equivalent mechanism of Mach reflection of waves from the coast. The characteristic features of these processes are (i) extreme amplification of the steepness of the wave fronts, (ii) change in the orientation of the largest wave crests compared with that of the counterparts and (iii) rapid displacement of the location of the extreme wave humps along the crests of the interacting waves. The presence of coasts raises a number of related questions such as the possibility of conversion of rogue waves into sneaker waves with extremely high run-up. Also, the reaction of bottom sediments and the entire coastal zone to the rogue waves may be drastic.     

The coherence of low-frequency sound in shallow water in the presence of internal waves

The coherence time and transverse coherence length of a low-frequency (100–300 Hz) sound field that is formed by an omnidirectional point source at a distance of 10–30 km in a shallow-water acoustic waveguide, which is characteristic of an open ocean shelf, were estimated analytically and in a numerical experiment. An anisotropic field of background internal waves is considered as a source of spatiotemporal fluctuations. It is shown that the coherence time decreases as the frequency increases, and strongly depends on the perturbation-movement direction. The transverse coherence length is primarily determined by phase incursions that are related to the cylindrical shape of the acoustic-wave front. In the case of transverse propagation, background internal waves may lead to significant variations in this length. The introduction of compensating phase corrections during processing provides a considerable increase in the average transverse coherence length.     

典型浅海温跃层内波对声场起伏的影响

本文描述了在夏季典型海区,温跃层内波起伏和不同距离声振幅起伏的实验测量结果。温度起伏记录时间48.96h,温跃层厚度约2-4m,温差达10-15℃。等温线内波垂直位移有5-6m,且主要受最低阶模式支配。测量获得的内波垂直空间频谱特性中,除潮周期占主要成分外,0.05-0.143cpm(7-20min)之间有明显的谱峰,谱衰减系数在-1.5--1.7之间。数值计算表明内波相、群速度在低频段完全相同,均为0.329m/s;随频率增加,相、群速度从约0.03cpm(33.33min)开始分离,且群速度值下降更快。在不同距离接收点,声振幅信号起伏有8-10dB;随距离增加,起伏有加快的趋势,并伴有信号衰落现象。谱衰减系数在-1,45--2之间。最后,用PE算法,模拟计算在内波起主导作用下的声振幅起伏。     

浅海水声信道响应的盲估计

在难以得到发射源信号的水下声场环境中,利用单水听器或单个波束的接收数据可以进行浅海信道响应的盲估计。首先运用径向高斯核时频分析方法进行源信号重构,再利用接收数据和所重构的源信号,通过高精度时延估计的WRELAX算法,估计出水声信道响应。所提出的盲估计方法经过海洋实验数据验证,估计结果准确,表明这种方法在水声领域具有广泛的应用前景。     

Blind estimation of shallow water acoustic channel

This paper proposed a method for blind estimation of underwater channels in shallow water environment by using received data at a single hydrophone or from single beam. First,the received signal is used for source signal reconstruction by means of signal-dependent TF(Time-Frequency)distribution,in association with instantaneous frequency estimation and TF inversion.Then the shallow-water channel estimation is achieved via WRELAX technique by use of the received signal and the estimated source signal.Finally,the results of numerical simulation and experimental test from real data taken in South China Sea trial have proved satisfactory.It is shown that the proposed method is useful for underwater channel estimation.     

On infrasound radiation of shallow water waves

Sound waves generated by low-frequency gravity modes have been studied. It has been shown that the response function is inversely proportional to the fourth power of the wave number.     

Sound field phase front variations in shallow water in the presence of intense internal waves

The method of vertical modes and horizontal rays and the method of parabolic equation in the horizontal plane are used to study space-time fluctuations of the phase front of the sound field in the presence of a train of internal waves passing through the acoustic path. The possibility of measuring the distortions of the phase front with a simultaneous filtering of modes by a horizontal array is analyzed. A numerical simulation is carried out for the conditions corresponding to the Eastern coast of United States and the Barents Sea.