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Temporal Coherence of Acoustic Signal Transmissions in a Fluctuating Deep Ocean 波动深海中声信号传输的时间相干性
Q1 Mathematics Pub Date : 2016-08-30 DOI: 10.1142/S0218396X16500107
Peng Xiao, Kunde Yang
Temporal coherence of a propagating signal in the fluctuating ocean is an important property for many practical applications. In previous studies, it has been shown that the coherence time follows a − 3/2 power frequency dependence and a − 1/2 power range dependence for long-range deep-water propagations as well as for shallow water propagations. In this paper, the frequency and range dependences are studied for a relative near distance in the deep ocean based on the Monte Carlo simulations. The range is tens of kilometers and it cannot be regard as a long-range propagation. It is found in this paper that the − 3/2 power frequency dependence is still followed, while the simple − 1/2 power relationship is inadequate to show the range dependence in the near field of deep water. The signals mainly propagate through two different paths for tens of kilometers: the refracted path and the reflected paths. In different regions, the acoustic coherence times exhibit different dependences because the signals are dom...
波动海洋中传播信号的时间相干性在许多实际应用中是一个重要的特性。在先前的研究中,已经表明,对于长距离深水传播和浅水传播,相干时间遵循−3/2的功率频率依赖和−1/2的功率范围依赖。本文在蒙特卡罗模拟的基础上,研究了深海中相对近距离的频率和距离依赖关系。它的射程是几十公里,不能看作是远程传播。本文发现- 3/2的功率频率相关性仍然存在,而简单的- 1/2功率关系不足以表示深水近场的距离相关性。信号主要通过两条不同的路径传播几十公里:折射路径和反射路径。在不同的区域,声相干时间表现出不同的依赖关系,因为信号是随机的。
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引用次数: 2
A Special Boundary Integral Method for the Numerical Simulation of Sound Propagation in Flow Ducts Lined with Multi-Cavity Resonators 一种特殊边界积分法在多腔腔腔流管内的数值模拟
Q1 Mathematics Pub Date : 2016-08-30 DOI: 10.1142/S0218396X16500120
E. Perrey-Debain, R. Maréchal, J. Ville
In this work, acoustic performances of a liner concept based on perforated screens backed by air cavities are investigated numerically for circular ducts with mean flow. Dimensions of the cavity are chosen to be of the order or bigger than the wavelength so acoustic waves within the liner can propagate parallel to the duct surface. In this case, the liner becomes nonlocally reacting and this gives rise to additional resonance effects which renders the attenuation more effective over a broader frequency range. In order to predict the mufflers’ acoustic performances, a special boundary integral method is presented. Using a tailored Green’s function for hard wall circular ducts containing uniform mean flow, the numerical technique only requires the discretization of the acoustic velocity potential on both sides of the perforated screen separating the central channel from the air cavities. Comparisons with finite element results show that the proposed method allows accurate results for a relatively modest computational cost. Influence of the mean flow in the central airway, the dimensions of the cavity as well as the nature of the incident field on acoustic performances are also shown and discussed.
在这项工作中,对平均流量圆形管道的声学性能进行了数值研究。腔体的尺寸被选择为波长的数量级或大于波长,因此声波在衬垫内可以平行于管道表面传播。在这种情况下,衬里变得非局部反应,这就产生了额外的共振效应,使得衰减在更宽的频率范围内更有效。为了预测消声器的声学性能,提出了一种特殊的边界积分方法。该数值技术采用了针对含有均匀平均流量的硬壁圆形管道量身定制的格林函数,只需要对将中央通道与空腔分开的穿孔屏幕两侧的声速势进行离散化。与有限元计算结果的比较表明,所提出的方法可以在相对较小的计算成本下获得准确的结果。文中还讨论了中心气道的平均流量、空腔的尺寸以及入射场的性质对声学性能的影响。
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引用次数: 1
Fast Frequency-Domain Forward and Inverse Methods for Acoustic Scattering from Inhomogeneous Objects in Layered Media 层状介质中非均匀物体声散射的快速频域正反演方法
Q1 Mathematics Pub Date : 2016-08-30 DOI: 10.1142/S0218396X16500089
Jinghe Li, Q. Liu
The fast scattering and inverse scattering algorithms for acoustic wave propagation and scattering in a layered medium with buried objects are an important research topic, especially for large-scale geophysical applications and for target detection. There have been increasing efforts in the development of practical, accurate, and efficient means of imaging subsurface target anomalies. In this work, the acoustic scattering problem in layered media is formulated as a volume integral equation and is solved by the stabilized bi-conjugate gradient fast Fourier transform (BCGS-FFT) method. By splitting the layered medium Green’s function interacting with the induced source into a convolution and a correlation, the acoustic fields can be calculated efficiently by the FFT algorithm. This allows both the forward solution and inverse solution to be computed with only O(Nlog N) computation time per iteration, where N is the number of degrees of freedom. The inverse scattering is solved using a simultaneous multiple ...
声波在含埋物层状介质中传播和散射的快速散射和逆散射算法是一个重要的研究课题,特别是在大规模地球物理应用和目标探测中。在开发实用、准确、高效的地下目标异常成像手段方面,人们付出了越来越多的努力。本文将层状介质中的声散射问题表述为一个体积积分方程,并采用稳定双共轭梯度快速傅里叶变换(BCGS-FFT)方法求解。通过将层状介质与感应源相互作用的格林函数分解为卷积函数和相关函数,利用FFT算法可以有效地计算声场。这使得每次迭代只需要O(Nlog N)计算时间就可以计算正解和逆解,其中N是自由度的数量。逆散射是用同时的多重散射来解决的。
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引用次数: 4
Seismo-Acoustic Benchmark Problems Involving Sloping Solid–Solid Interfaces and Variable Topography 涉及倾斜的固体-固体界面和可变地形的地震-声学基准问题
Q1 Mathematics Pub Date : 2016-08-30 DOI: 10.1142/S0218396X16500193
Katherine F. Woolfe, M. D. Collins, D. Calvo, W. Siegmann
The accuracy of the seismo-acoustic parabolic equation is tested for problems involving sloping solid–solid interfaces and variable topography. The approach involves approximating the medium in terms of a series of range-independent regions, using a parabolic wave equation to propagate the field through each region, and applying a single-scattering approximation to obtain transmitted fields across the vertical interfaces between regions. The accuracy of the parabolic equation method for range-dependent problems in seismo-acoustics was previously tested in the small slope limit. It is tested here for problems involving larger slopes using a finite-element model to generate reference solutions.
在涉及倾斜的固体-固体界面和可变地形的问题上,对地震-声抛物方程的精度进行了检验。该方法包括用一系列距离无关区域近似介质,使用抛物波动方程在每个区域传播场,并应用单散射近似在区域之间的垂直界面上获得传输场。抛物方程法在小斜率极限条件下的精度已得到验证。这里使用有限元模型对涉及较大斜率的问题进行了测试,以生成参考解。
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引用次数: 6
Reverse Time Migration Using the Pseudospectral Time-Domain Algorithm 使用伪谱时域算法的反向时间迁移
Q1 Mathematics Pub Date : 2016-08-18 DOI: 10.1142/S0218396X16500053
Jiangang Xie, Zichao Guo, Hai Liu, Q. Liu
We propose a pre-stack reverse time migration (RTM) seismic imaging method using the pseudospectral time-domain (PSTD) algorithm. Traditional pseudospectral method uses the fast Fourier transform (FFT) algorithm to calculate the spatial derivatives, but is limited by the wraparound effect due to the periodicity assumed in the FFT. The PSTD algorithm combines the pseudospectral method with a perfectly matched layer (PML) for acoustic waves. PML is a highly effective absorbing boundary condition that can eliminate the wraparound effect. It enables a wide application of the pseudospectral method to complex models. RTM based on the PSTD algorithm has advantages in the computational efficiency compared to traditional methods such as the second-order and high order finite difference time-domain (FDTD) methods. In this work, we implement the PSTD algorithm for acoustic wave equation based RTM. By applying the PSTD-RTM method to various seismic models and comparing it with RTM based on the eighth-order FDTD method, we find that PSTD-RTM method has better performance and saves more than 50% memory. The method is suitable for parallel computation, and has been accelerated by general purpose graphics processing unit.
提出了一种基于伪谱时域(PSTD)算法的叠前逆时偏移(RTM)地震成像方法。传统的伪谱方法采用快速傅里叶变换(FFT)算法来计算空间导数,但由于FFT中假设的周期性而产生的环绕效应,限制了伪谱方法的应用。PSTD算法将伪谱法与声波的完美匹配层(PML)相结合。PML是一种有效的吸收边界条件,可以消除绕流效应。这使得伪谱方法在复杂模型中得到了广泛的应用。与传统的二阶和高阶时域有限差分(FDTD)方法相比,基于PSTD算法的RTM在计算效率上具有优势。在这项工作中,我们实现了基于声波方程的RTM的PSTD算法。通过将PSTD-RTM方法应用于各种地震模型,并与基于八阶FDTD方法的RTM方法进行比较,发现PSTD-RTM方法具有更好的性能,可节省50%以上的内存。该方法适用于并行计算,并得到了通用图形处理器的加速。
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引用次数: 8
On the Use of Transfer Approaches to Predict the Vibroacoustic Response of Poroelastic Media 用传递法预测多孔弹性介质的振动声响应
Q1 Mathematics Pub Date : 2016-08-18 DOI: 10.1142/S0218396X15500204
Q. Serra, M. Ichchou, J. Deü
The transfer matrix method (TMM) is a famous analytic method in the vibroacoustic community. It is classically considered as a high frequency approach, because of the hypothesis of acoustic plane waves impinging on a flat infinite panel. Thus, it cannot take into account directly finite-size effects or lateral boundary conditions (BCs), and it needs specific algorithms to correct its results in the low frequency range. Within the transfer matrix framework, the use of finite elements makes it possible to generalize the range of applications of transfer approaches. Thus, the study of wave propagation in poroelastic media, in presence of lateral BCs can be carried out. The links between theses waves and the acoustic response of a sample are investigated. Finally, it shows that transfer approaches are not limited in the low frequency range, as usually stated. In fact, the validity of analytic transfer approaches depends more on the material and on the geometry than on the frequency range.
传递矩阵法(TMM)是振动声学界一种著名的解析方法。它被经典地认为是一种高频方法,因为假设声平面波撞击在一个平坦的无限面板上。因此,它不能直接考虑有限尺寸效应或横向边界条件(bc),并且需要特定的算法来纠正其低频范围内的结果。在传递矩阵框架内,有限元的使用使推广传递方法的应用范围成为可能。因此,可以对存在侧向基底的孔隙弹性介质中的波传播进行研究。研究了这些波与样品声响应之间的联系。最后,它表明,转移方法并不局限于低频范围,通常说。事实上,解析传递方法的有效性更多地取决于材料和几何形状,而不是频率范围。
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引用次数: 8
Methodology for the Design of the Geometry of a Cavity and Its Absorption Coefficients as Random Design Variables Under Vibroacoustic Criteria 振动声学准则下腔体几何设计方法及其随机设计变量吸收系数
Q1 Mathematics Pub Date : 2016-08-18 DOI: 10.1142/S0218396X16500065
R. Troian, K. Shimoyama, F. Gillot, S. Besset
Reducing the noise level in the acoustic cavities is the important problem when treating inflight conditions of commercial planes or boats. Shape optimization of the acoustic cavity that will take into account the geometrical and material uncertainties, arising during the manufacturing process, is presented in this paper. The noise level is controlled by minimizing the energy density in the cavity, obtained through an energy method called Simplified Energy Method. Such formulation is based on our previous published work where transformation function mapping 3D cavity surface on a 2D domain was proposed. The optimization process directly relies on this function and thus avoids remeshing of the geometry. Robust optimization is performed using the nondominated sorting genetic algorithm (NSGA-II) together with the Kriging surrogate model. Influence of geometrical and material characteristics on the optimal solution is identified.
在处理商用飞机或船只的飞行条件时,降低声腔中的噪声水平是一个重要问题。本文提出了考虑制造过程中产生的几何和材料不确定性的声腔形状优化方法。噪声水平是通过最小化腔内的能量密度来控制的,这是通过一种称为简化能量法的能量方法获得的。该公式基于我们之前发表的工作,其中提出了在二维域上映射三维腔面的变换函数。优化过程直接依赖于该函数,从而避免了几何图形的重划分。采用非支配排序遗传算法(NSGA-II)和Kriging代理模型进行鲁棒优化。确定了几何特性和材料特性对最优解的影响。
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引用次数: 7
Acoustic End-Correction in a Flow-Reversal End Chamber Muffler: A Semi-Analytical Approach 流动反转端室消声器的末端校正:半解析方法
Q1 Mathematics Pub Date : 2016-08-18 DOI: 10.1142/S0218396X16500041
A. Mimani, M. Munjal
This work presents a semi-analytical technique based on the Green's function and uniform-piston driven model to determine the end-correction length l in an axially long flow-reversal end chamber muffler having an end-inlet and an end-outlet. The semi-analytical procedure is based on the 3D analytical uniform piston-driven model for obtaining the impedance Z] matrix parameters and numerically evaluating the frequency f(p) at which the imaginary part of the cross-impedance parameter Z(E2E1) crosses the frequency axis at the first instance. The frequency f(p) corresponds to the low-frequency peak in the transmission loss (TL) spectrum of the axially long flow-reversal end-chamber muffler obtained a priori to its computation by considering the influence of higher order evanescent transverse modes. The effective chamber length (and thence, the end-correction length) in the low-frequency range are determined by using the expression for resonance frequency of a classical quarter-wave resonator. This method is employed to determine the end-correction in axially long elliptical cylindrical end chambers and circular cylindrical end chambers (with or without a rigid concentric circular pass-tube). The TL graph predicted by the 1D axial plane wave model (incorporating the end-correction length) is shown to be in an excellent agreement with that obtained by the 3D analytical approach and an experimental result (from literature) up to the low-frequency limit, thereby validating the semi-analytical technique. Parametric studies are conducted using the proposed semi-analytical method to investigate and qualitatively explain the effect of angular location and offset distance of the end ports and the pass-tube diameter on the end-correction length, thereby yielding important insights into the influence of transverse evanescent modes on dominant axial plane wave modes of the axially long end-chamber. Development of an empirical end-correction expression in a flow-reversal circular end-chamber with offset inlet and outlet ports is a practically useful contribution of this work.
本文提出了一种基于格林函数和均匀活塞驱动模型的半解析技术,以确定具有端进端出的轴向长流反转端室消声器的端修正长度l。半解析方法是基于三维解析均匀活塞驱动模型,获得阻抗Z]矩阵参数,并对交叉阻抗参数Z(E2E1)的虚部与频率轴一次相交的频率f(p)进行数值计算。频率f(p)对应于考虑高阶倏逝横向模态影响的轴向长反流端室消声器传输损耗谱中的低频峰值。利用经典四分之一波谐振器的谐振频率表达式确定低频范围内的有效腔室长度(以及末端校正长度)。采用该方法确定了轴向长椭圆圆柱形端室和圆圆柱形端室(带或不带刚性同心圆通管)的端校正量。一维轴向平面波模型预测的TL图(包含末端校正长度)与三维解析方法得到的TL图和实验结果(来自文献)在低频范围内非常吻合,从而验证了半解析技术。采用所提出的半解析方法进行参数化研究,研究并定性解释了端孔的角度位置、偏置距离和通管直径对端修正长度的影响,从而对横向消失模态对轴向长端室的主要轴向平面波模态的影响提供了重要见解。在具有偏置入口和出口的流动反转圆形端室中开发经验端校正表达式是本工作的实际有用贡献。
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引用次数: 13
Pulse Scattering on an Ice Sphere Submerged in a Homogeneous Waveguide Covered with Ice 冰覆盖均匀波导中冰球的脉冲散射
Q1 Mathematics Pub Date : 2016-07-14 DOI: 10.1142/S0218396X16500144
N. Grigorieva, M. Kupriyanov, D. Stepanova, D. B. Ostrovskiy, I. Seleznev
The paper is devoted to modeling of the backscattered field from a spherical target immersed in a homogeneous waveguide covered with ice. A bottom of the waveguide and an ice cover are fluid, attenuating half-spaces. A target is assumed to be acoustically rigid or fluid. In particular, the properties of the ice cover and a scatterer may coincide. The emitted signal is a pulse with a Gaussian envelope. The normal mode evaluation is applied to the scattering coefficients of a sphere. The amount of normal modes forming the backscattered field is determined by a given directivity of the source. Computational results are obtained in a wide frequency range 8–12kHz for water depths equal to several hundreds of meters, and distances between a source/receiver and a target from 1km up to 10km. It is shown that in a range interval up to several kilometers the backscattered field can be calculated also using a simplified medium model consisting of a water half-space and an ice half-space. In this case the scattering coefficients of a sphere are evaluated by the steepest descent method. For the considered oceanic waveguide of 200m depth with a sandy bottom the use of the simplified medium model essentially shortens a computing time.
本文研究了球形目标在冰覆盖均匀波导中的后向散射场模型。波导的底部和冰盖是流体,衰减半空间。假设目标在声学上是刚性的或流体的。特别地,冰盖和散射体的性质可能是一致的。发射的信号是一个具有高斯包络的脉冲。将正模法应用于球散射系数的计算。形成后向散射场的正模的数量是由给定的源的指向性决定的。计算结果在8-12kHz的宽频率范围内,水深为数百米,源/接收器与目标之间的距离为1km至10km。结果表明,在数公里范围内,用水半空间和冰半空间组成的简化介质模型也可以计算出后向散射场。在这种情况下,用最陡下降法计算球的散射系数。对于考虑的200m深砂底海洋波导,使用简化介质模型实质上缩短了计算时间。
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引用次数: 1
An Efficient Coupled-Mode Formulation for Acoustic Propagation in Inhomogeneous Waveguides 非均匀波导中声传播的有效耦合模式公式
Q1 Mathematics Pub Date : 2016-03-22 DOI: 10.1142/S0218396X15500198
Chunmei Yang, Wenyu Luo, Renhe Zhang, L. Lyu, F. Qiao
The direct-global-matrix coupled-mode model (DGMCM) for sound propagation in range-dependent waveguides was recently developed by Luo et al. [A numerically stable coupled-mode formulation for acoustic propagation in range-dependent waveguides, Sci. China G: Phys. Mech. Astron.55 (2012) 572–588]. A brief review of the formulation and characteristics of this model is given. This paper extends this model to deal with realistic problems involving an inhomogeneous water column and a penetrable sloping bottom. To this end, the normal mode model KRAKEN is adopted to provide local modal solutions and their associated coupling matrices. As a result, the extended DGMCM model is capable of providing full two-way solutions to two-dimensional (2D) realistic problems with a depth- and range-dependent sound speed profile as well as a penetrable sloping bottom. To validate this model, it is first applied to a benchmark problem of sound propagation in a plane-parallel waveguide with a depth- and range-dependent sound speed profile, and then it is applied to a problem involving both an inhomogeneous water column and a sloping bottom. Comparisons with the analytical solution proposed by DeSanto and with the numerical model COUPLE are also provided, which show that the extended DGMCM model is accurate and efficient and hence can serve as a benchmark for realistic problems of sound propagation in an inhomogeneous waveguide.
距离相关波导中声音传播的直接全局矩阵耦合模式模型(DGMCM)是由Luo等人最近开发的[一种数值稳定的距离相关波导中声音传播的耦合模式公式,Sci。中国旅客:体育。动力机械。[j].地球科学进展,2014,(5):572-588。简要回顾了该模型的构成和特点。本文将该模型推广到非均匀水柱和可穿透倾斜底部的实际问题。为此,采用正态模态模型KRAKEN提供局部模态解及其相关耦合矩阵。因此,扩展的DGMCM模型能够为二维(2D)现实问题提供全双向解决方案,具有深度和范围相关的声速剖面以及可穿透的倾斜底部。为了验证该模型,首先将其应用于声速分布与深度和距离相关的平面平行波导中声音传播的基准问题,然后将其应用于涉及非均匀水柱和倾斜底部的问题。并与DeSanto的解析解和数值模型COUPLE进行了比较,结果表明,扩展的DGMCM模型是准确有效的,可以作为非均匀波导中声音传播实际问题的基准。
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引用次数: 4
期刊
Journal of Computational Acoustics
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