三维绝热简正波-抛物方程理论及应用

秦继兴; Katsnelson Boris; 彭朝晖; 李整林; 张仁和; 骆文于

doi:10.7498/aps.65.034301

摘要

复杂海域通常存在环境参数的水平变化, 这会导致声波在传播过程中发生水平折射, 呈现出三维效应. 利用绝热简正波-抛物方程理论进行三维声场建模, 在垂直方向上使用标准简正波模型KRAKEN求解本征值和本征函数, 水平方向上使用宽角抛物方程模型RAM求解简正波幅度. 该模型物理意义清晰, 计算效率高, 但由于忽略了各号简正波之间的耦合, 只适用于环境参数水平变化缓慢的问题. 使用该模型分析了内波环境和大陆架楔形波导中的声波水平折射现象, 结果表明, 声波的水平折射将水平平面分为不同区域, 每个区域内的声场结构明显不同. 此外, 声强在水平平面内的分布与声源频率和简正波号数有关, 这种依赖关系是导致声信号频谱变化、波形畸变以及声场时空扰动的主要原因.

关键词:

Abstract

Complex zone of the ocean is often characterized by horizontal variations of environmental parameters(bathymetry, sound speed profile, bottom properties etc.), initiating redistribution of the sound field in horizontal plane, which is the so-called three-dimensional (3D) effect. Based on the adiabatic mode parabolic equation method, modeling of 3D effects is carried out, in which the eigenvalues and eigenfunctions are calculated by the standard normal mode model KRAKEN, and the amplitude corresponding to each mode is computed by the wide-angle parabolic equation model RAM. The present 3D model is very efficient and can give clear physical meaning, but it can be only applied to a waveguide whose properties vary gradually with horizontal range due to the adiabatic assumption between different modes. This model is then used to analyze the horizontal refraction caused by internal waves and by a coastal wedge. The numerical results show that there are several areas in the horizontal plane, corresponding to different structures of intensity distributions. Moreover, the redistribution of the sound field in horizontal plane depends on source frequency and mode number. Frequency and modal dependences lead to variations of spectrum, distortion of signal with some spectrum, and spatiotemporal fluctuations of the sound field.

Keywords:

作者及机构信息

1.
中国科学院声学研究所, 声场声信息国家重点实验室, 北京 100190;

2.
Department of Marine Geosciences, School of Marine Sciences, University of Haifa, Haifa 31905;

3.
中国科学院声学研究所, 南海研究站, 海口 570105

通信作者: 秦继兴, qjx@mail.ioa.ac.cn

基金项目: 国家自然科学基金(批准号: 11434012, 41561144006, 11174312)和海洋公益性行业科研专项经费(批准号: 201405032) 资助的课题.

Authors and contacts

1.
State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences Beijing 100190, China;

2.
Department of Marine Geosciences, School of Marine Sciences, University of Haifa, Haifa 31905, Israel;

3.
Haikou Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Haikou 570105, China

Corresponding author: Qin Ji-Xing, qjx@mail.ioa.ac.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11434012, 41561144006, 11174312), and the Public Science and Technology Research Funds Projects of Ocean (Grant No. 201405032).

参考文献

[1]	Tappert F D 1977 Wave Propagation and Underwater Acoustics (New York: Springer) p224
[2]	Collis J M, Siegmann W L, Jensen F B Zampolli M, Ksel E T, Collins M D 2008 J. Acoust. Soc. Am. 123 51
[3]	Pierce A D 1965 J. Acoust Soc. Am. 37 19
[4]	Evans R B 1983 J. Acoust Soc. Am. 74 188
[5]	Zhang R H, Liu H, He Y, Akulichev V A 1994 Acta Acust. 19 408 (in Chinese) [张仁和, 刘红, 何怡, Akulichev V A 1994 声学学报 19 408]
[6]	Yang C M, Luo W Y, Zhang R H, Qin J X 2013 Acta Phys. Sin. 62 094302 (in Chinese) [杨春梅, 骆文于, 张仁和, 秦继兴 2013 物理学报 62 094302]
[7]	Godin O A 1998 J. Acoust. Soc. Am. 103 159
[8]	Athanassoulis G A, Belibassakis K A, Mitsoudis D A Kampanis N A, Dougalis V A 2008 J. Comput. Acoust. 16 83
[9]	Schmidt H, Glattetre J 1985 J. Acoust. Soc. Am. 78 2105
[10]	Collins M D, Schmidt H, Siegmann W L 2000 J. Acoust. Soc. Am 107 1964
[11]	Stephen R A 1988 Rev. Geophys. 26 445
[12]	Thompson L L 2006 J. Acoust. Soc. Am. 119 1315
[13]	Zampolli M, Tesei A, Jensen F B Malm N, Blottman III J B 2007 J. Acoust. Soc. Am. 122 1472
[14]	Cornyn J J 1973 GRASS: A Digital-Computer Ray-tracing and Transmission-Loss-Prediction System (Washington, DC: Naval Research Laboratory) Technical Report 7621
[15]	Porter M B, Bucker H P 1987 J. Acoust. Soc. Am. 82 1349
[16]	Felsen L B 1981 J. Acoust. Soc. Am. 69 352
[17]	Abawi A T, Kuperman W A, Collins M D 1997 J. Acoust. Soc. Am. 102 233
[18]	Perkins J S, Baer R N 1982 . J. Acoust. Soc. Am. 72 515
[19]	Marfurt K J 1984 Geophysics 49 533
[20]	Baer R N 1981 . J. Acoust. Soc. Am. 69 70
[21]	Chiu C S, Ehret L L 1990 Computational Acoustics II: Ocean-Acoustic Models and Supercomputing (Amsterdam: Elsevier) p182
[22]	Luo W Y, Schmidt H 2009 J. Acoust. Soc. Am. 125 52
[23]	Lee D, Botsea G, Siegmann W L 1992 J. Acoust. Soc. Am. 91 3192
[24]	Piao S C 1999 Ph. D. Dissertation (Harbin: Harbin Engineering University) (in Chinese) [朴胜春 1999 博士学位论文(哈尔滨: 哈尔滨工程大学)]
[25]	Jones R M, Riley J P, Georges T M 1986 HARPO: A Versatile Three-dimensional Hamiltonian Ray-tracing Program for Acoustic Waves in an Ocean with Irregular Bottom (Boulder, Colorado: Environmental Research Laboratories) Technical Report
[26]	Collins M D 1993 J. Acoust. Soc. Am. 94 2269
[27]	Peng Z H, Zhang R H 2005 Acta Acust. 30 97 (in Chinese) [彭朝晖, 张仁和 2005 声学学报 30 97]
[28]	Fawcett J A, Dawson T W 1990 J. Acoust. Soc. Am. 88 1913
[29]	Orris G J, Collins M D 1994 J. Acoust. Soc. Am. 96 1725
[30]	Qin J X, Luo W Y, Zhang R H Yang C M 2013 Chin. Phys. Lett. 30 114301
[31]	Katsnelson B G, Pereselkov S A 2000 Acoust. Phys. 46 684
[32]	Katsnelson B G, Lynch J, Tshoidze A V 2007 Acoust. Phys. 53 611
[33]	Porter M B 1991 The KRAKEN Normal Mode Program (La Spezia: SACLANT Undersea Research Centre) Technical Report SM-245
[34]	Collins M D User's Guide for RAM Versions 1.0 and 1.0p. (Washington, DC: Naval Research Laboratory)
[35]	Brekhovskikh L M, Lysanov Yu P 2003 Fundamentals of Ocean Acoustics (3rd Ed.) (New York: Springer-Verlag) pp149-158
[36]	Collins M D 1993 J. Acoust. Soc. Am. 93 1736
[37]	Collins M D 1992 J. Acoust. Soc. Am. 92 2069
[38]	Katsnelson B G, Malykhin A Yu 2012 Acoust. Phys. 58 301

施引文献

[1]	Tappert F D 1977 Wave Propagation and Underwater Acoustics (New York: Springer) p224
[2]	Collis J M, Siegmann W L, Jensen F B Zampolli M, Ksel E T, Collins M D 2008 J. Acoust. Soc. Am. 123 51
[3]	Pierce A D 1965 J. Acoust Soc. Am. 37 19
[4]	Evans R B 1983 J. Acoust Soc. Am. 74 188
[5]	Zhang R H, Liu H, He Y, Akulichev V A 1994 Acta Acust. 19 408 (in Chinese) [张仁和, 刘红, 何怡, Akulichev V A 1994 声学学报 19 408]
[6]	Yang C M, Luo W Y, Zhang R H, Qin J X 2013 Acta Phys. Sin. 62 094302 (in Chinese) [杨春梅, 骆文于, 张仁和, 秦继兴 2013 物理学报 62 094302]
[7]	Godin O A 1998 J. Acoust. Soc. Am. 103 159
[8]	Athanassoulis G A, Belibassakis K A, Mitsoudis D A Kampanis N A, Dougalis V A 2008 J. Comput. Acoust. 16 83
[9]	Schmidt H, Glattetre J 1985 J. Acoust. Soc. Am. 78 2105
[10]	Collins M D, Schmidt H, Siegmann W L 2000 J. Acoust. Soc. Am 107 1964
[11]	Stephen R A 1988 Rev. Geophys. 26 445
[12]	Thompson L L 2006 J. Acoust. Soc. Am. 119 1315
[13]	Zampolli M, Tesei A, Jensen F B Malm N, Blottman III J B 2007 J. Acoust. Soc. Am. 122 1472
[14]	Cornyn J J 1973 GRASS: A Digital-Computer Ray-tracing and Transmission-Loss-Prediction System (Washington, DC: Naval Research Laboratory) Technical Report 7621
[15]	Porter M B, Bucker H P 1987 J. Acoust. Soc. Am. 82 1349
[16]	Felsen L B 1981 J. Acoust. Soc. Am. 69 352
[17]	Abawi A T, Kuperman W A, Collins M D 1997 J. Acoust. Soc. Am. 102 233
[18]	Perkins J S, Baer R N 1982 . J. Acoust. Soc. Am. 72 515
[19]	Marfurt K J 1984 Geophysics 49 533
[20]	Baer R N 1981 . J. Acoust. Soc. Am. 69 70
[21]	Chiu C S, Ehret L L 1990 Computational Acoustics II: Ocean-Acoustic Models and Supercomputing (Amsterdam: Elsevier) p182
[22]	Luo W Y, Schmidt H 2009 J. Acoust. Soc. Am. 125 52
[23]	Lee D, Botsea G, Siegmann W L 1992 J. Acoust. Soc. Am. 91 3192
[24]	Piao S C 1999 Ph. D. Dissertation (Harbin: Harbin Engineering University) (in Chinese) [朴胜春 1999 博士学位论文(哈尔滨: 哈尔滨工程大学)]
[25]	Jones R M, Riley J P, Georges T M 1986 HARPO: A Versatile Three-dimensional Hamiltonian Ray-tracing Program for Acoustic Waves in an Ocean with Irregular Bottom (Boulder, Colorado: Environmental Research Laboratories) Technical Report
[26]	Collins M D 1993 J. Acoust. Soc. Am. 94 2269
[27]	Peng Z H, Zhang R H 2005 Acta Acust. 30 97 (in Chinese) [彭朝晖, 张仁和 2005 声学学报 30 97]
[28]	Fawcett J A, Dawson T W 1990 J. Acoust. Soc. Am. 88 1913
[29]	Orris G J, Collins M D 1994 J. Acoust. Soc. Am. 96 1725
[30]	Qin J X, Luo W Y, Zhang R H Yang C M 2013 Chin. Phys. Lett. 30 114301
[31]	Katsnelson B G, Pereselkov S A 2000 Acoust. Phys. 46 684
[32]	Katsnelson B G, Lynch J, Tshoidze A V 2007 Acoust. Phys. 53 611
[33]	Porter M B 1991 The KRAKEN Normal Mode Program (La Spezia: SACLANT Undersea Research Centre) Technical Report SM-245
[34]	Collins M D User's Guide for RAM Versions 1.0 and 1.0p. (Washington, DC: Naval Research Laboratory)
[35]	Brekhovskikh L M, Lysanov Yu P 2003 Fundamentals of Ocean Acoustics (3rd Ed.) (New York: Springer-Verlag) pp149-158
[36]	Collins M D 1993 J. Acoust. Soc. Am. 93 1736
[37]	Collins M D 1992 J. Acoust. Soc. Am. 92 2069
[38]	Katsnelson B G, Malykhin A Yu 2012 Acoust. Phys. 58 301

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