一种浅海声简正波近场分离方法
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摘要
针对浅海环境下声简正波的近场分离问题,提出了一种基于频率-波数(Frequency-Wavenumber, F-K)变换的分离方法。该方法通过对由近场水平多道接收信号所组成的水声信号矩阵进行F-K变换,将二维接收信号矩阵从时间-空间域转换至频率-波数域,由提取频率-波数域上各阶简正波各频点的波数实现对信号中各阶简正波的分离及频散特性提取。数值模拟和水池实验对本方法在实际研究中的可靠性和有效性进行了验证,表明在500 m距离内利用本方法能可靠分离Pekeris波导中200 Hz以下各阶简正波。
To separate the normal modes in shallow water under near field, a separation method based on frequencywavenumber(F-K) transform is proposed in this paper. Based on F-K transformation, the 2D receipt a-coustic signal matrix, which composed by near field horizontal multi-channel signals,is processed from time-space domain to frequency-wavenumber domain, the normal modes in signals is separated by extracting the wavenumbers at each frequency for each order in the frequeny-wavenumber domain. The reliability and validity of this method in practice are verified by numerical simulation and tank experiment, which showed that the normal modes in Pekeris waveguide under 200 Hz could be obtained reliably within 500 m through this method.
To separate the normal modes in shallow water under near field, a separation method based on frequencywavenumber(F-K) transform is proposed in this paper. Based on F-K transformation, the 2D receipt a-coustic signal matrix, which composed by near field horizontal multi-channel signals,is processed from time-space domain to frequency-wavenumber domain, the normal modes in signals is separated by extracting the wavenumbers at each frequency for each order in the frequeny-wavenumber domain. The reliability and validity of this method in practice are verified by numerical simulation and tank experiment, which showed that the normal modes in Pekeris waveguide under 200 Hz could be obtained reliably within 500 m through this method.
引文
1 YANG Shi'e. Theory of underwater sound propagation.Harbin:Harbin Engineering University Press, 2009:10-20
2 高伟.浅海波导中简正波相干分量的奇异值分解提取方法.声学学报,2016; 41(1):41-48
3 祝捍皓,郑红,林建民等.海洋环境参数对Scholte波特性影响的研究.上海交通大学学报,2016; 50(2):257-264
4 王宁,高大治,王好忠.频散、声场干涉结构、波导不变量与消频散变换.哈尔滨工程大学学报,2010; 31(7):825-831
5 牛海强,何利,李整林等.利用简正波频散特征映射方法进行海洋环境参数反演.声学学报,2014; 39(1):1-10
6 Bonnel J, Chapman N. Geoacoustic inversion in a dispersive waveguide using warping operators. J. Acoust. Soc.Am., 2011; 130(2):EL101-EL107
7 Zhao Z D, Wang N, Gao D Z. Broadband source ranging in shallow water using theΩ-Interference spectrum. Chin.Phys. Lett., 2014; 27(6):064301
8 王冬,郭良浩,刘建军等.一种基于warping变换的浅海脉冲声源被动测距方法.物理学报,2016; 65(10):104302
9 Niu H Q, Zhang R H, Li Z L. A modified warping operator based on BDRM theory in homogeneous shallow water.Sci. China Phys. Mech. Astron., 2014; 57(3):424-432
10 姚玉玲,王宁,石洪华等.水声信号时频分析方法比较及应用研究.中国海洋大学学报,2011; 41(11):115-119
11 高伟.浅海波导中简正波相干分量的奇异值分解提取方法.声学学报,2016; 46(1):41-48
12 Neilsen T B, Westwood E K. Extraction of acoustic normal mode depth functions using vertical line array data. J.Acoust. Soc. Am., 2002; 111(2):748-756
13 Bonnel J, Gervaise C, Nicolas B et al. Single-receiver geoacoustic inversion using modal reversal. J. Acoust. Soc.Am., 2012; 131(1):119-128
14 张碧星,鲁来玉.用频率波数法分析瑞利波频散特性.工程地球物理学报,2005; 2(4):245-255
15 Alleyne D, Cawley P. A two-dimensional Fourier transform method for the propagating multimode signals. J. Acoust.Soc. Am., 1990; 89(3):1159-1168
16 Aeron S, Bose S, Valero H P. Joint multi-mode dispersion extraction in Fourier and space time domains. IEEE Trans.Signal Process., 2013; 63(15):1-23
17 ZHANG Haigang, Piao Shengchun, Yang Shi'e, AN Xudong. Researches on the distribution law of vector sound field in elastic wedge bottom. Chinese Journal of Acoustic, 2011; 30(4):473-482
18 祝捍皓,朴胜春,张海刚等.快速场(FFP)算法反演海底参数研究.哈尔滨工程大学学报,2012; 33(5):648-652
19 Finn B J, William A K, Michael B P et al. Computational ocean acoustics. New York:Springer New York Press,2011:611-660
20 Porter M B. The KRAKEN normal mode program. http://oalib.hlsresearch.com/Modes/kraken.pdf, 1997
21 胡广书.数字信号处理理论、算法与实现.北京:清华大学出版社,2012:147-152
22 王德俊.矢量声场与矢量信号处理理论研究.哈尔滨工程大学,博士学位论文,2004:21-61
23 祝捍皓,朴胜春,张海刚等.典型海底条件下抛物方程声场计算方法的缩比实验验证.上海交通大学学报,2013; 47(4):532-537
24 Collis J M, Siegmann W L, Jensen F B et al. Parabolic equation solution of seismo-acoustics problems involving variations in bathymetry and sediment thickness. J.Acoust. Soc. Am., 2008; 123(1):51-55
25 刘伯胜,雷家煜.水声学原理.哈尔滨:哈尔滨工程大学出版社,1993:92-100
2 高伟.浅海波导中简正波相干分量的奇异值分解提取方法.声学学报,2016; 41(1):41-48
3 祝捍皓,郑红,林建民等.海洋环境参数对Scholte波特性影响的研究.上海交通大学学报,2016; 50(2):257-264
4 王宁,高大治,王好忠.频散、声场干涉结构、波导不变量与消频散变换.哈尔滨工程大学学报,2010; 31(7):825-831
5 牛海强,何利,李整林等.利用简正波频散特征映射方法进行海洋环境参数反演.声学学报,2014; 39(1):1-10
6 Bonnel J, Chapman N. Geoacoustic inversion in a dispersive waveguide using warping operators. J. Acoust. Soc.Am., 2011; 130(2):EL101-EL107
7 Zhao Z D, Wang N, Gao D Z. Broadband source ranging in shallow water using theΩ-Interference spectrum. Chin.Phys. Lett., 2014; 27(6):064301
8 王冬,郭良浩,刘建军等.一种基于warping变换的浅海脉冲声源被动测距方法.物理学报,2016; 65(10):104302
9 Niu H Q, Zhang R H, Li Z L. A modified warping operator based on BDRM theory in homogeneous shallow water.Sci. China Phys. Mech. Astron., 2014; 57(3):424-432
10 姚玉玲,王宁,石洪华等.水声信号时频分析方法比较及应用研究.中国海洋大学学报,2011; 41(11):115-119
11 高伟.浅海波导中简正波相干分量的奇异值分解提取方法.声学学报,2016; 46(1):41-48
12 Neilsen T B, Westwood E K. Extraction of acoustic normal mode depth functions using vertical line array data. J.Acoust. Soc. Am., 2002; 111(2):748-756
13 Bonnel J, Gervaise C, Nicolas B et al. Single-receiver geoacoustic inversion using modal reversal. J. Acoust. Soc.Am., 2012; 131(1):119-128
14 张碧星,鲁来玉.用频率波数法分析瑞利波频散特性.工程地球物理学报,2005; 2(4):245-255
15 Alleyne D, Cawley P. A two-dimensional Fourier transform method for the propagating multimode signals. J. Acoust.Soc. Am., 1990; 89(3):1159-1168
16 Aeron S, Bose S, Valero H P. Joint multi-mode dispersion extraction in Fourier and space time domains. IEEE Trans.Signal Process., 2013; 63(15):1-23
17 ZHANG Haigang, Piao Shengchun, Yang Shi'e, AN Xudong. Researches on the distribution law of vector sound field in elastic wedge bottom. Chinese Journal of Acoustic, 2011; 30(4):473-482
18 祝捍皓,朴胜春,张海刚等.快速场(FFP)算法反演海底参数研究.哈尔滨工程大学学报,2012; 33(5):648-652
19 Finn B J, William A K, Michael B P et al. Computational ocean acoustics. New York:Springer New York Press,2011:611-660
20 Porter M B. The KRAKEN normal mode program. http://oalib.hlsresearch.com/Modes/kraken.pdf, 1997
21 胡广书.数字信号处理理论、算法与实现.北京:清华大学出版社,2012:147-152
22 王德俊.矢量声场与矢量信号处理理论研究.哈尔滨工程大学,博士学位论文,2004:21-61
23 祝捍皓,朴胜春,张海刚等.典型海底条件下抛物方程声场计算方法的缩比实验验证.上海交通大学学报,2013; 47(4):532-537
24 Collis J M, Siegmann W L, Jensen F B et al. Parabolic equation solution of seismo-acoustics problems involving variations in bathymetry and sediment thickness. J.Acoust. Soc. Am., 2008; 123(1):51-55
25 刘伯胜,雷家煜.水声学原理.哈尔滨:哈尔滨工程大学出版社,1993:92-100
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