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宽频带海洋环境噪声矢量场空间相关特性建模

任超 黄益旺 夏峙

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宽频带海洋环境噪声矢量场空间相关特性建模

任超, 黄益旺, 夏峙

Modeling of spatial correlation characteristics of broadband ocean ambient noise vector field

Ren Chao, Huang Yi-Wang, Xia Zhi
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  • 基阵的信噪比增益与噪声场空间特性密切联系, 海洋环境噪声空间特性建模始终是水声学研究的热门问题. 声纳功能不同, 其工作频段和带宽通常也不相同, 因此, 任意频带噪声场的空间相关系数对声纳系统设计具有重要参考价值. 依据海洋环境噪声场的产生过程, 在高频近似条件下, 本文提出一种噪声场时域建模方法, 给出了水平分层介质中表面噪声时域声压和质点振速的积分表示, 为噪声矢量场宽带模型的建立奠定了基础. 根据风成噪声谱结构, 数值计算了不同频带、不同谱斜率的噪声场空间相关系数, 揭示了带宽、谱结构对风成噪声空间特性的影响规律. 随着阵元间距和带宽增大, 噪声矢量场各分量的空间相关系数的振荡周期数逐渐减少, 振荡幅度逐渐减小, 这是由于噪声场相关系数频域平均的结果. 当谱斜率小于零时, 宽频带噪声场的空间相关半径大于窄带噪声场的相关半径, 这是由于低频段噪声起主要贡献的结果, 实测海洋环境噪声声压场竖直方向空间相关特性变化规律与理论结果一致. 本文模型对换能器成阵技术研究以及环境参数反演具有潜在应用前景.
    The signal-to-noise ratio gain of the array is closely related to the spatial characteristics of the noise field. The modeling of the spatial characteristics of marine environmental noise is always a hot spot. For sonar with different functions, the working frequency band and bandwidth are usually different. Therefore, the spatial correlation coefficient of the noise field in arbitrary frequency band has important reference value for designing sonar systems. According to the process of generating the marine environmental noise field under the high frequency approximation condition, a noise field time-domain modeling method is proposed, and the integral expression of the time-domain sound pressure and particle vibration velocity of marine environmental noise in a horizontally layered medium is given. This lays the foundation for establishing a broadband model of the noise vector field. In particular, the analytical expression of the spatial correlation coefficient of the broadband white noise vector field in the vertical direction under specific condition is also given. Following the spectral structure of wind-generated noise, the spatial correlation coefficients of noise fields with different frequency bands and different spectral slopes are numerically calculated, revealing the influence of bandwidth and spectral structure on the spatial characteristics of marine environmental noise, and the principle behind the result is explained through theoretical derivation. With the increase of the array element spacing and bandwidth, the number of oscillation periods and the oscillation amplitude of the spatial correlation coefficient of each component of the noise vector field gradually decrease, which is caused by the frequency domain average of the noise field correlation coefficient. When the spectral slope is less than zero, the low-frequency noise plays a major role, causing the spatial correlation radius of the broadband noise field to be larger than that of the narrowband noise field. The result of the experiment conducted in South China Sea shows that the measured vertical spatial correlation coefficient of the sound pressure field of marine environmental noise is in good agreement with the theoretical result. The model has potential application prospects for the research of transducer array technology and the inversion of environmental parameters.
      通信作者: 黄益旺, huangyiwang@hrbeu.edu.cn
    • 基金项目: 国家自然科学基金(批准号: 12074088)资助的课题.
      Corresponding author: Huang Yi-Wang, huangyiwang@hrbeu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 12074088).
    [1]

    Deane G B, Buckingham M J, Tindle C T 1997 J. Acoust. Soc. Am. 102 3413Google Scholar

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    Carbone N M, Deane G B, Buckingham M J 1998 J. Acoust. Soc. Am. 103 801Google Scholar

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    Harrison C H, Simons D G 2002 J. Acoust. Soc. Am. 112 1377Google Scholar

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    Harrison C H 2004 J. Acoust. Soc. Am. 115 1505Google Scholar

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    Cron B F, Sherman C H 1962 J. Acoust. Soc. Am. 34 1732Google Scholar

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    Cox H 1973 J. Acoust. Soc. Am. 54 1289Google Scholar

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    Kuperman W A, Ingentio F 1980 J. Acoust. Soc. Am. 67 1988Google Scholar

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    Harrison C H 1996 J. Acoust. Soc. Am. 99 2055Google Scholar

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    Carey W M, Evans E B, Davis J A, Botseas G 1990 IEEE. J. Oceanic. Eng. 15 324Google Scholar

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    Perkins J S, Kuperman W A, Ingentio F, Fialkowski L T 1993 J. Acoust. Soc. Am. 93 739Google Scholar

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    蒋光禹, 孙超, 刘雄厚, 谢磊 2019 物理学报 68 024302Google Scholar

    Jiang G Y, Sun C, Xie L, Liu X H 2019 Acta Phys. Sin. 68 024302Google Scholar

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    蒋光禹, 孙超, 李沁然 2020 物理学报 69 144301Google Scholar

    Jiang G Y, Sun C, Li Q R 2020 Acta Phys. Sin. 69 144301Google Scholar

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    张乾初, 郭新毅, 马力 2019 声学学报 44 189

    Zhang Q C, Guo X Y, Ma L 2019 Acta Acustica 44 189

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    江鹏飞, 林建恒, 马力, 蒋国健 2013 声学学报 38 724

    Jiang P F, Lin J H, Ma L, Jiang G J 2013 Acta Acustica 38 724

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    江鹏飞, 林建恒, 孙军平, 衣雪娟 2017 物理学报 66 014306Google Scholar

    Jiang P F, Lin J H, Sun J P, Yi X J 2017 Acta Phys. Sin. 66 014306Google Scholar

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    周建波, 朴胜春, 黄益旺, 刘亚琴, 欧焱青 2017 哈尔滨工程大学学报 38 1056

    Zhou J B, Piao S C, Huang Y W, Liu Y Q, Ou Y Q 2017 J. Harbin Engin. Univ. 38 1056

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    周建波, 朴胜春, 刘亚琴, 祝捍皓 2017 物理学报 66 014301Google Scholar

    Zhou J B, Piao S C, Liu Y Q, Zhu H H 2017 Acta Phys. Sin. 66 014301Google Scholar

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    D’Spain G L, Luby J C, Wilson G R, Gramann R A 2006 J. Acoust. Soc. Am. 120 171Google Scholar

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    Zhou J B, Piao S C, Qu K, Iqbal K, Yang D, Zhang S Z, Zhang H G, Wang X H, Liu Y Q 2017 J. Acoust. Soc. Am. 142 EL507Google Scholar

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    Hawkes M, Nehorai A 1998 IEEE Trans. Signal Process. 46 2291Google Scholar

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    Nehorai A, Paldi E 1994 IEEE Trans. Signal Process. 42 2481Google Scholar

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    Hawkes M, Nehorai A 2001 IEEE. J. Oceanic. Eng. 26 337Google Scholar

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    孙贵青, 杨德森, 时胜国 2009 声学学报 28 509

    Sun G Q, Yang D S, Shi S G 2009 Acta Acustica 28 509

    [24]

    黄益旺, 杨士莪, 朴胜春 2009 哈尔滨工程大学学报 30 1209Google Scholar

    Huang Y W, Yang S E, Piao S C 2009 J. Harbin Engin. Univ. 30 1209Google Scholar

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    Cox H, Lai H, Bell K 2009 Conference Record of the Forty-Third Asilomar Conference on Signals CA, USA, November 1–4, 2009 p459

    [26]

    Cray B A, Nuttall A H 2001 J. Acoust. Soc. Am. 110 324Google Scholar

    [27]

    Nichols B, Martin J, Verlinden C, Sabra K G 2019 J. Acoust. Soc. Am. 145 3567Google Scholar

    [28]

    鄢锦, 罗显志, 侯朝焕 2006 声学学报 31 310Google Scholar

    Yan J, Luo X Z, Hou C H 2006 Acta Acustica 31 310Google Scholar

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    黄益旺, 杨士莪 2010 哈尔滨工程大学学报 31 137Google Scholar

    Huang Y W, Yang S E 2010 J. Harbin Engin. Univ. 31 137Google Scholar

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    黄益旺, 李婷, 于盛齐, 张维 2010 哈尔滨工程大学学报 31 975Google Scholar

    Huang Y W, Li T, Yu S Q, Zhang W 2010 J. Harbin Engin. Univ. 31 975Google Scholar

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    Huang Y W, Ren Q Y, Li T 2012 J. Mar. Sci. Appl. 11 119Google Scholar

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    Deal T J 2018 J. Acoust. Soc. Am. 143 605Google Scholar

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    Buckingham M J 2012 J. Acoust. Soc. Am. 131 2643Google Scholar

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    Barclay D R, Buckingham M J 2013 J. Acoust. Soc. Am. 133 62Google Scholar

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    Ren C, Huang Y W 2020 J. Acoust. Soc. Am. 147 EL99Google Scholar

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    布列霍夫斯基 Л М (山东海洋学院海洋物理系, 中国科学院声学研究所水声研究室 译) 1983 海洋声学 (北京: 科学出版社) 第511−520页

    Бреховских Л М (translated by Department of Oceanophysics Shandong College of Oceanology, Laboratory of Underwater Acoustic Institute of Acoustics Chinese Academy of Science) 1983 Fundamentals of Ocean Acoustics (Beijing: Science Press) pp511−520 (in Chinese)

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    Thorp W H 1967 J. Acoust. Soc. Am. 42 240

    [38]

    Zhou J X 2009 J. Acoust. Soc. Am. 125 2847Google Scholar

    [39]

    刘伯胜, 黄益旺, 陈文剑, 雷家煜 2019 水声学原理 (第三版) (北京: 科学出版社) 第243页

    Liu B S, Huang Y W, Chen W J, Lei J Y 2019 Principles of Underwater Acoustics (3 rd edition) (Beijing: Science Press) pp243 (in Chinese)

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    石学法 2012 中国近海海洋: 海洋底质 (北京: 海洋出版社) 第375−380页

    Shi X F 2012 China Offshore Ocean: Seafloor Material (Beijing: China Ocean Press) pp375−380 (in Chinese)

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    杰克逊 D R, 理查德森 M D (刘保华, 阚光明, 李官保, 韩同城, 孟祥梅, 张德玉 译) 2014 高频海底声学 (北京: 海洋出版社) 第107−110页

    Jackson D R, Richardson M D (translated by Liu B H, Kan G M, Li G B, Han T C, Meng X M, Zhang D Y) 2014 High-Frequency Seafloor Acoustics (Beijing: China Ocean Press) pp107−110 (in Chinese)

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    Jiang D G, Lin J H, Sun J P, Jiang P F, Yi X J, Ma L, Jiang G J 2017 Per. Ocean. Univ. China. (Nat. Sci.) 47 140 (in Chinese)

  • 图 1  水平分层介质中表面噪声模型

    Fig. 1.  Schematic of surface-generated noise model in a horizontally stratified media.

    图 2  ${S_{\text{c}}}$${S_{\text{p}}}$示意图

    Fig. 2.  Schematic of ray path ${S_{\text{c}}}$ and ${S_{\text{p}}}$.

    图 3  声速剖面

    Fig. 3.  Sound speed profile.

    图 4  辐射谱均匀时噪声场的空间相关系数 (a) 竖直方向; (b) 水平方向

    Fig. 4.  Spatial correlation of noise with flat spectrum in a horizontally stratified media: (a) Vertical direction; (b) horizontal direction.

    图 5  辐射谱不均匀时噪声场的空间相关系数 (a) 竖直方向; (b) 水平方向

    Fig. 5.  Spatial correlation of noise with sloped spectrum in a horizontally stratified media: (a) Vertical direction; (b) horizontal direction.

    图 6  环境噪声谱 (a)数据1; (b)数据2

    Fig. 6.  Spectrum of ambient noise: (a)Data 1; (b)data 2.

    图 7  数据1噪声竖直方向空间相关系数 (a) 窄带噪声; (b) W = 100 Hz; (c) W = 200 Hz; (d) W = 400 Hz

    Fig. 7.  Noise vertical spatial correlation coefficient of data 1: (a) narrowband noise; (b) W = 100 Hz; (c) W = 200 Hz; (d) W = 400 Hz.

    图 8  数据2噪声竖直方向空间相关系数 (a) 窄带噪声; (b) W = 100 Hz; (c) W = 200 Hz; (d) W = 400 Hz

    Fig. 8.  Noise vertical spatial correlation coefficient of data 2: (a) Narrowband noise; (b) W = 100 Hz; (c) W = 200 Hz ; (d) W = 400 Hz.

    图 9  介质衰减与频率关系对宽频带噪声矢量场空间相关系数的影响 (a) 竖直方向; (b) 水平方向

    Fig. 9.  Influence of relationship between frequency and attenuation on the spatial correlation coefficient of broadband noise vector field: (a) Vertical direction; (b) horizontal direction.

    表 1  环境参数

    Table 1.  Environmental parameters.

    介质声速/(m·s–1)密度/(g·cm–3)衰减系数/(dB·m–1)
    海水声速剖面1.06.5×10–5
    海底17001.80.25
    下载: 导出CSV

    表 2  噪声相关特性理论值与实验值的相关系数

    Table 2.  Correlation coefficient of theoretical and experimental correlation characteristic of noise.

    带宽窄带
    噪声
    100 Hz200 Hz400 Hz
    数据10.9480.9200.9380.964
    数据20.9630.9610.9690.970
    下载: 导出CSV
  • [1]

    Deane G B, Buckingham M J, Tindle C T 1997 J. Acoust. Soc. Am. 102 3413Google Scholar

    [2]

    Carbone N M, Deane G B, Buckingham M J 1998 J. Acoust. Soc. Am. 103 801Google Scholar

    [3]

    Harrison C H, Simons D G 2002 J. Acoust. Soc. Am. 112 1377Google Scholar

    [4]

    Harrison C H 2004 J. Acoust. Soc. Am. 115 1505Google Scholar

    [5]

    Cron B F, Sherman C H 1962 J. Acoust. Soc. Am. 34 1732Google Scholar

    [6]

    Cox H 1973 J. Acoust. Soc. Am. 54 1289Google Scholar

    [7]

    Kuperman W A, Ingentio F 1980 J. Acoust. Soc. Am. 67 1988Google Scholar

    [8]

    Harrison C H 1996 J. Acoust. Soc. Am. 99 2055Google Scholar

    [9]

    Carey W M, Evans E B, Davis J A, Botseas G 1990 IEEE. J. Oceanic. Eng. 15 324Google Scholar

    [10]

    Perkins J S, Kuperman W A, Ingentio F, Fialkowski L T 1993 J. Acoust. Soc. Am. 93 739Google Scholar

    [11]

    蒋光禹, 孙超, 刘雄厚, 谢磊 2019 物理学报 68 024302Google Scholar

    Jiang G Y, Sun C, Xie L, Liu X H 2019 Acta Phys. Sin. 68 024302Google Scholar

    [12]

    蒋光禹, 孙超, 李沁然 2020 物理学报 69 144301Google Scholar

    Jiang G Y, Sun C, Li Q R 2020 Acta Phys. Sin. 69 144301Google Scholar

    [13]

    张乾初, 郭新毅, 马力 2019 声学学报 44 189

    Zhang Q C, Guo X Y, Ma L 2019 Acta Acustica 44 189

    [14]

    江鹏飞, 林建恒, 马力, 蒋国健 2013 声学学报 38 724

    Jiang P F, Lin J H, Ma L, Jiang G J 2013 Acta Acustica 38 724

    [15]

    江鹏飞, 林建恒, 孙军平, 衣雪娟 2017 物理学报 66 014306Google Scholar

    Jiang P F, Lin J H, Sun J P, Yi X J 2017 Acta Phys. Sin. 66 014306Google Scholar

    [16]

    周建波, 朴胜春, 黄益旺, 刘亚琴, 欧焱青 2017 哈尔滨工程大学学报 38 1056

    Zhou J B, Piao S C, Huang Y W, Liu Y Q, Ou Y Q 2017 J. Harbin Engin. Univ. 38 1056

    [17]

    周建波, 朴胜春, 刘亚琴, 祝捍皓 2017 物理学报 66 014301Google Scholar

    Zhou J B, Piao S C, Liu Y Q, Zhu H H 2017 Acta Phys. Sin. 66 014301Google Scholar

    [18]

    D’Spain G L, Luby J C, Wilson G R, Gramann R A 2006 J. Acoust. Soc. Am. 120 171Google Scholar

    [19]

    Zhou J B, Piao S C, Qu K, Iqbal K, Yang D, Zhang S Z, Zhang H G, Wang X H, Liu Y Q 2017 J. Acoust. Soc. Am. 142 EL507Google Scholar

    [20]

    Hawkes M, Nehorai A 1998 IEEE Trans. Signal Process. 46 2291Google Scholar

    [21]

    Nehorai A, Paldi E 1994 IEEE Trans. Signal Process. 42 2481Google Scholar

    [22]

    Hawkes M, Nehorai A 2001 IEEE. J. Oceanic. Eng. 26 337Google Scholar

    [23]

    孙贵青, 杨德森, 时胜国 2009 声学学报 28 509

    Sun G Q, Yang D S, Shi S G 2009 Acta Acustica 28 509

    [24]

    黄益旺, 杨士莪, 朴胜春 2009 哈尔滨工程大学学报 30 1209Google Scholar

    Huang Y W, Yang S E, Piao S C 2009 J. Harbin Engin. Univ. 30 1209Google Scholar

    [25]

    Cox H, Lai H, Bell K 2009 Conference Record of the Forty-Third Asilomar Conference on Signals CA, USA, November 1–4, 2009 p459

    [26]

    Cray B A, Nuttall A H 2001 J. Acoust. Soc. Am. 110 324Google Scholar

    [27]

    Nichols B, Martin J, Verlinden C, Sabra K G 2019 J. Acoust. Soc. Am. 145 3567Google Scholar

    [28]

    鄢锦, 罗显志, 侯朝焕 2006 声学学报 31 310Google Scholar

    Yan J, Luo X Z, Hou C H 2006 Acta Acustica 31 310Google Scholar

    [29]

    黄益旺, 杨士莪 2010 哈尔滨工程大学学报 31 137Google Scholar

    Huang Y W, Yang S E 2010 J. Harbin Engin. Univ. 31 137Google Scholar

    [30]

    黄益旺, 李婷, 于盛齐, 张维 2010 哈尔滨工程大学学报 31 975Google Scholar

    Huang Y W, Li T, Yu S Q, Zhang W 2010 J. Harbin Engin. Univ. 31 975Google Scholar

    [31]

    Huang Y W, Ren Q Y, Li T 2012 J. Mar. Sci. Appl. 11 119Google Scholar

    [32]

    Deal T J 2018 J. Acoust. Soc. Am. 143 605Google Scholar

    [33]

    Buckingham M J 2012 J. Acoust. Soc. Am. 131 2643Google Scholar

    [34]

    Barclay D R, Buckingham M J 2013 J. Acoust. Soc. Am. 133 62Google Scholar

    [35]

    Ren C, Huang Y W 2020 J. Acoust. Soc. Am. 147 EL99Google Scholar

    [36]

    布列霍夫斯基 Л М (山东海洋学院海洋物理系, 中国科学院声学研究所水声研究室 译) 1983 海洋声学 (北京: 科学出版社) 第511−520页

    Бреховских Л М (translated by Department of Oceanophysics Shandong College of Oceanology, Laboratory of Underwater Acoustic Institute of Acoustics Chinese Academy of Science) 1983 Fundamentals of Ocean Acoustics (Beijing: Science Press) pp511−520 (in Chinese)

    [37]

    Thorp W H 1967 J. Acoust. Soc. Am. 42 240

    [38]

    Zhou J X 2009 J. Acoust. Soc. Am. 125 2847Google Scholar

    [39]

    刘伯胜, 黄益旺, 陈文剑, 雷家煜 2019 水声学原理 (第三版) (北京: 科学出版社) 第243页

    Liu B S, Huang Y W, Chen W J, Lei J Y 2019 Principles of Underwater Acoustics (3 rd edition) (Beijing: Science Press) pp243 (in Chinese)

    [40]

    石学法 2012 中国近海海洋: 海洋底质 (北京: 海洋出版社) 第375−380页

    Shi X F 2012 China Offshore Ocean: Seafloor Material (Beijing: China Ocean Press) pp375−380 (in Chinese)

    [41]

    杰克逊 D R, 理查德森 M D (刘保华, 阚光明, 李官保, 韩同城, 孟祥梅, 张德玉 译) 2014 高频海底声学 (北京: 海洋出版社) 第107−110页

    Jackson D R, Richardson M D (translated by Liu B H, Kan G M, Li G B, Han T C, Meng X M, Zhang D Y) 2014 High-Frequency Seafloor Acoustics (Beijing: China Ocean Press) pp107−110 (in Chinese)

    [42]

    蒋东阁, 林建恒, 孙军平, 江鹏飞, 衣雪娟, 马力, 蒋国健 2017 中国海洋大学学报(自然科学版) 47 140

    Jiang D G, Lin J H, Sun J P, Jiang P F, Yi X J, Ma L, Jiang G J 2017 Per. Ocean. Univ. China. (Nat. Sci.) 47 140 (in Chinese)

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出版历程
  • 收稿日期:  2021-08-17
  • 修回日期:  2021-09-22
  • 上网日期:  2022-01-15
  • 刊出日期:  2022-01-20

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