A simplified pseudo-fluid model derived from biot theory through low grazing angle approximation

We propose an approximation technique with which the porous Biot model can be converted into a pseudo-fluid medium model, i.e., a medium represented by its sound speed and density. This technique begins from an analytic derivation of the reflection coefficient on a planar interface of fluid and porous ocean sediment. Invoking the low grazing angle approximation, useful for solving long range propagation problems, the pseudo-fluid medium is obtained. Alternate pseudo-fluid medium can be obtained through the weak frame approximation (Williams, J. Acoust. Soc. Am. 110, 2276-2281, 2001). In this paper, we discuss the accuracy and limitations of the low grazing angle approximation by numerically comparing the reflection coefficient to the full Biot model cases as functions of various Biot parameters, frequency, and water sound speed. The usefulness of the present low grazing angle approximated pseudo-fluid medium in ocean wave propagation modeling is demonstrated by comparing the transmission loss results with that of the full Biot model.     

RELATION BETWEEN SOUND FIELD AND BOTTOM-REFLECTION LOSS

The sound field in shallow water is closely relatcd to the acoustic properties of thesea bottom which has complicated stratified structure. The influence of the bottom onthe sound field may be described in terms of reflection coefficient. In early papers, somesimplified dependence of the bottom reflection loss on the grazing angle has been sug-gested. But these models cannot reflect the main characteristics of angular dependenceof reflection loss in all cases. In this paper a simple approach to the problem is sug-gested. The sound field in homogeneous shallow water can be calculated for sea bottom,the reflection loss of which is arbitrarily monotonously increasing function of grazingangle. In this paper it is pointed out that there is a simple transformation between theangle dependence of bottom reflection loss and transmission ratio of sound field.     

浅海均匀层远程混响的垂直相干性

混响是主动声纳在浅海环境中的一种干扰,有关其空间相关特性,Urick和Lund发表了两篇实验性报告[7].本文根据浅海平均声场角度谱分析法[3],从理论上计算了浅海均匀层远程混响垂直相关特性与界面反射、散射等环境参数之间的关系,及其随距离、水听器间隔的变化,供声纳设计或在浅海环境中研究低频、小掠角的散射特性时参考.     

An inverse method for reconstructing the density and sound speed profiles of a layered ocean bottom

A standard inverse problem in underwater acoustics is the reconstruction of the ocean subbottom structure (e.g., the density and sound speed profiles) from an aperture- and bandlimited knowledge of the reflection coefficient. In this paper we describe an inverse solution method due to Candel et al. [12] which is based on the scattering of acoustic plane waves by a one-dimensional inhomogeneous medium. As a consequence of applying the forward scattering approximation to a local wave representation of the acoustic field, they obtain an expression for the reflection coefficient in the form of a nonlinear Fourier transform of the logarithmic derivative of the local admittance. Inversion of this integral transform enables the recovery of the admittance profile via the numerical integration of two first-order differential equations which require as reflection data a single impulse response of the medium. Separate recovery of both the density and sound speed profiles requires two impulse responses for two different grazing angles. In this case, four differential equations need to be integrated instead of two. To illustrate the capability of the method, we present numerical reconstructions which are based on synthetic reflection data for a geoacoustic model that represents the acoustic properties of the surficial sediments for a site in the Hatteras Abyssal Plain.     

Wave kinematics of partial reflection from a vertical wall

A third-order perturbation approximation for the partial reflection from a vertical wall is presented in this paper. The wave parameters are expressed in terms of the amplitude of incident waves. The reflection coefficient is defined as the ratio of the height of reflected waves to incident waves. The numerical results demonstrate the significant influences of reflected coefficient on the wave profile and wave frequency bifurcation. For example, the critical angle of wave frequency bifurcation with partial reflection is about 7.5 degrees, not 21 degrees as reported previously for fully reflection.     

均匀层浅海声场与海底反射损失的关系

海底对浅海声传播的影响很大。海底有复杂的多层结构。在计算声场时如果把多层海底的影响都考虑进去,就会使计算复杂化,得不出一个清晰的物理图象。因此,在计算中往往使用海底反射损失系数来代替多层海底的模型。但海底反射损失与角度有复杂的依赖关系。为了计算方便,提出过不少简化模型。已经使用的模型有反射损失与角度无关、与角度一次方成正比;后来又提出反射损失在某一临界角之下与角度一次方成正比,在临界角之上与角度无关的三参数模型,克服了远场与近场衔接的问题[1,2]。但这些模型不一定在所有情况下都能反映海底反射损失与角度的关系的主要特征。本文提出一个近似方法,可以计算海底反射损失按任意规律随角度单调上升的情况下的声场。     

Acoustic backscattering from a sandy seabed

Acoustic backscattering from a sandy seabed was measured at a frequency of 5.5 kHz at a wide range of grazing angles. The measurement system used was the University of Miami's sonar tower, consisting of an omni-directional broadband source and two 16-channel hydrophone receiver arrays. A volume scattering model, which combines a fluid model with reflection/transmission coefficients derived from the Biot theory, is used. This model allows energy penetration into the bottom, calculations of the volume scattering at all grazing angles, and the frequency dependence of the sound speed in the water-saturated sediment. In the model, rather than assume sound-speed correlation length in sedimentary volume, core data were used to assimilate a 3-D fluctuation spectrum of the density. The numerical results showed excellent agreement with the measurement at lower grazing angles. We concluded that the interface roughness scattering was dominant at lower grazing angles, while the volume scattering is dominant at higher grazing angles at the sandy site. The border of the dominance of the interface and volume scattering was the so-called critical angle at this frequency. The frequency dependence of sound speeds is also discussed.     

Analysis of optimal conditions for recording signals when studying the atmospheric boundary layer with the acoustic method of partial reflection

Equations for the coefficient of partial reflection K from stratified inhomogeneities in the atmospheric boundary layer have been derived on the basis of the Epstein transition and symmetrical layer models as functions of three dimensionless parameters, i.e., the relative layer altitude, its relative thickness, and the relative variations in the effective sound speed in a layer. The equations have been obtained for the relative layer altitude at which the total internal reflection appears; the behavior of the function K is studied at close altitudes. Significant weakening of the dependence of coefficient K on the relative layer thickness in these conditions is shown, which makes it possible to record partially reflected signals in a wide range of wave-lengths or frequencies of the sounding signal. In other cases, the coefficient of partial reflection K strongly depends on the layer thickness. According to experimental data on variations in the amplitude of received acoustic signals with an increase in the source-detector distance, a technique for the parameterization of the additional impedance attenuation of sound that propagates over the earth’s surface has been developed, and these parameters have been experimentally estimated for different stratification conditions and sounding signal frequencies. Many records of background acoustic noises typical for one or another measurement sites have been distinguished and classified, a technique for estimating the minimum signal amplitude distinguishable against noises has been developed, and the corresponding estimates have been made. Based on these data and the specifications of three different industrial acoustic sources, the parameter limits provided by these sources have been estimated for the method of partial reflection.     

波浪反射系数谱的特征分析

应用斜向不规则波反射系数的改进两点法(MTPM),用模型试验研究了混凝土护面堤和块石护面堤波浪反射系数的频率谱和方向谱,结果表明,分析的反射系数随入射波频率的增加、结构坡度的减小和入射角的加大而减小.给出了波浪反射系数频率谱及其随Iribarren数变化的规律,提出了反射系数三维谱的经验公式,由此可定量地描述斜向不规则波的反射系数随无量纲特征参数Iribarren数和入射波角度的变化规律.     

Wave Reflection Coefficient Spectrum

1 .IntroductionWavereflectionfromstructuresisanimportantfactorforthedesignofthestructures .Therehavebeenmanyresearchesonwavereflectionwithregularwavesandmonochromaticirregularwaves .Miche( 1 951 )proposedanon dimensionalMichenumberMfornormallyincidentirregularwavesconsideringwavebreakingbecauseofthedeepeningofwavesteepnessontheslopeofbreakwaters .ThereflectioncoefficientisproportionaltoM ,i.e .,Kr ∝M =4g( 2π) 5/ 2tan5/ 2 α(Hsf2p) ( 1 )wheregisthegravitationalacceleration ,Hsthesignifican…     

简正波时域分离的模拟实验研究

在水深1.0米,具有平坦海底的区域作了时域分离简正波的模拟实验,得到了1、2、3号简正波。由分离出的简正波相对幅度计算了海底反射损失因子Q。所得实验数据与理论计算结果符合甚好。计算所得Q值与由底质采样所得Q值基本一致。     

浅海声反射损失的实验研究

本文介绍在水深40—90米的浅海海域中三种类型沉积层海底上,用爆炸声源进行的海底反射损失的实验研究结果。实验结果与按均匀半空间底模型计算所得海底反射损失的理论曲线作了比较。结果表明:反射损失值明显地与底的类型有关,细砂底的反射损失较小,粉砂质泥次之,而粉砂质粘土的反射损失较大;对于同类型的海底,孔隙度大者反射损失也较大。此外,还讨论了沉积物中场速的两种经验公式的适用性。     

声波在水-多孔介质海底界面上的反射与透射

声波在海底界面的反射和透射是海底散射、海底混响、海底目标探测的重要问题。利用Biot多孔介质声传播理论对声波在水-多孔海底界面上的反射和透射进行了分析,具体给出反射声波的反射系数,3种透射声波的透射系数以及声能透射系数随入射波入射角和频率(10~40 kHz)的变化关系,分析了各种透射波对透射声能的贡献。多孔海底介质参数分别采用Stoll和Chotiros给出的2组参数进行理论计算。     

斜向波浪入射角和反射系数确定方法

在海岸工程和水池实验中常常需要同时确定斜向波浪的传播方向和与海岸结构物相遇时的反射系数。应用三点浪高仪测波和迭代求解方法,建立了同时确定斜向波浪入射角和反射系数的分析方法。通过模拟数值信号,研究了测点不同排列方式、不同波浪入射方向、不同入射频率下本方法的分析灵敏程度。数值研究表明当测点间距指标p和q不同时趋于零时,任何一种排列方式求得的波浪反射系数和波浪入射角均具有很高的分析精度。     

Wave damping characteristics of vertically stratified porous structures under oblique wave action

The characteristics of wave damping for the vertically stratified porous breakwaters are investigated under oblique wave action. It is found that for common angles of incidence, the wave damping efficiency of a vertically stratified porous structure behaves very similar to a simple structure. The reflection coefficient decreases with increasing angle of incidence while the transmission coefficient only slightly increases as the angle of incidence increases. It is shown that the wave energy loss is in direct proportional to the structure thickness and its porosity regardless of the angle of incidence. Considering small transmission coefficient as a basic requirement and if a moderate reflection coefficient is accepted, a structure thickness of b/h=1 is proposed. In this situation, since the structure does not have a very large thickness, adopting a vertically stratified structure is not an effective way to improve its wave damping efficiency.     

北极冰下声传播特性实验研究

通过2017年8月6日在北极海域开展的一次声传播实验，开展了冰下声传播特性实验研究。结合Burke-Twersky （BT）散射模型与射线模型，分析了冰下声传播的多途到达结构，研究了接收声强变化规律，解释了接收声强在30 min内衰减20 dB的现象，分析了接收信号的时间相关性，探讨了接收信号相关性较低的原因。实验结果表明，表面接收信号主要由小角度多次反转反射声线、一次海底反射声线和二次海底反射声线依次构成，表面声道到达信号显著强于海底反射信号。试验冰站在试验期间的运动导致了声传播信号强度和相关性的迅速衰减，并通过仿真得到了验证。     

Ambient Noise Vertical Directionality and Reflection Loss Estimates for a Shallow Tropical Site with a Fast Sound Speed Bottom

Abstract

For high frequency ocean acoustic modeling applications, seabed reflection loss is a useful alternative input compared to conventional geoacoustic model parameters. Reflection loss can be estimated by comparing the noise intensity of the up and down components of the ambient noise vertical directionality pattern. The potential of this method is demonstrated with experimental data spanning one week, collected off shallow east coast of India using a 21 element vertical hydrophone array. The compact and easily operable vertical array has been designed for high frequency directionality estimation in the band 2–10?kHz. The ambient noise data are beam formed to arrive at the vertical directionality pattern. Further reflection loss values as a function of frequency and grazing angle have been estimated for 1/3 octave bands for a sandy sea bed in warm tropical waters. This has been compared with modeled reflection loss estimates using OASR reflection loss module of OASES. This will serve as inputs to propagation models for applications such as inverse techniques, ambient noise modelling, and sonar system performance prediction.     

顾及海底地形坡度的应答器互测距能力估计

研究了在海底声速梯度为正的情况下,应答器最大互测距距离的计算方法。对于平坦地形,直接基于声线跟踪的原理计算;对于倾斜地形,首先将实际声线轨迹近似为圆弧,然后利用牛顿法迭代计算初始掠射角,进一步得到两应答器间的水平距离。仿真实验结果表明,应答器的架设高度越高,最大互测距距离越远;同样架设高度,坡度越大的地形互测距距离越短。     

基于Chirp数据和Biot-Stoll模型反演南海北部陆坡海底表层沉积物物理性质

浅地层剖面是基于声学信号(频率在几百至几千赫兹)在沉积物中的传播得到可反映沉积地层结构的数据，海底反射系数与沉积物物理性质密切相关。Biot-Stoll声波传播理论模型可以预测海底沉积物的物理性质，构建反射系数等声学参数与物理参数之间的关系，但在不同的海域采用不同的参数所获得的效果不同。为此，本文基于南海北部陆坡海底表层沉积物的实测物理参数，利用Biot-Stoll模型建立研究区海底反射系数和沉积物物理性质之间的关系，结果表明模型计算值与样品实测值吻合度总体较好，偏差在0.1%～4.9%之间，并建立了频率3.5 kHz时海底反射系数与沉积物孔隙度、密度、平均粒径之间的关系方程，且方程拟合度较高，可决系数R2均大于0.99。在对典型Chirp剖面数据计算其海底反射系数的基础上，反演了海底表层沉积物的孔隙度、密度、颗粒平均粒径等物理性质，其中反演孔隙度、密度、平均粒径与实测孔隙度、密度、平均粒径相对误差均小于5%，结果与实测值基本相符，表明该反演方法在南海北部陆坡区的应用是可行的。     

水声定位系统中迭代适应点分层的声线修正算法

水声定位系统中, 声线弯曲是造成定位误差大的主要原因, 本文针对该问题提出了一种迭代适应点分层(IAPL)的声线修正算法, 将声速剖面筛选分层修正声线。首先搭建水声定位模型, 通过拟合目标海域的监测数据, 得到声速高次函数; 其次探究声线弯曲时目标位置与掠射角的关联性, 由此构造出声线插值函数并求解路径参数; 最后提出划分原则, 精简声速剖面分层。仿真结果表明, 所提算法定位误差较低, 分层精简率均维持在48.04%的水平, 使计算量平均下降可达50.27%, 能够最大程度保留声速剖面的原始特征, 减少分层数量, 提高计算效率。