Three-dimensional parabolic equation model for seismo-acoustic propagation:Theoretical development and preliminary numerical implementation

doi:10.1088/1674-1056/26/11/114301

中国物理B ›› 2017, Vol. 26 ›› Issue (11): 114301-114301.doi: 10.1088/1674-1056/26/11/114301

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Three-dimensional parabolic equation model for seismo-acoustic propagation:Theoretical development and preliminary numerical implementation

Jun Tang(唐骏), Sheng-Chun Piao(朴胜春), Hai-Gang Zhang(张海刚)

1. Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China;
2. College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

收稿日期:2017-06-13 修回日期:2017-08-04 出版日期:2017-11-05 发布日期:2017-11-05
基金资助:
Project supported by the National Nature Science Foundation of China (Grant Nos. 11234002 and 11704337) and the National Key Research Program of China (Grant No. 2016YFC1400100).

Three-dimensional parabolic equation model for seismo-acoustic propagation:Theoretical development and preliminary numerical implementation

Jun Tang(唐骏)^1,2, Sheng-Chun Piao(朴胜春)^1,2, Hai-Gang Zhang(张海刚)^1,2

1. Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China;
2. College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

Received:2017-06-13 Revised:2017-08-04 Online:2017-11-05 Published:2017-11-05
Contact: Hai-Gang Zhang E-mail:zhanghaigang@hrbeu.edu.cn
Supported by:
Project supported by the National Nature Science Foundation of China (Grant Nos. 11234002 and 11704337) and the National Key Research Program of China (Grant No. 2016YFC1400100).

摘要/Abstract

摘要：

A three-dimensional (3D) parabolic equation (PE) model for sound propagation in a seismo-acoustic waveguide is developed in Cartesian coordinates, with x, y, and z representing the marching direction, the longitudinal direction, and the depth direction, respectively. Two sets of 3D PEs for horizontally homogenous media are derived by rewriting the 3D elastic motion equations and simultaneously choosing proper dependent variables. The numerical scheme is for now restricted to the y-independent bathymetry. Accuracy of the numerical scheme is validated, and its azimuthal limitation is analyzed. In addition, effects of horizontal refraction in a wedge-shaped waveguide and another waveguide with a polyline bottom are illustrated. Great efforts should be made in future to provide this model with the ability to handle arbitrarily irregular fluid-elastic interfaces.

关键词: three-dimensional parabolic equation, sound propagation, seismo-acoustic waveguides

Abstract:

Key words: three-dimensional parabolic equation, sound propagation, seismo-acoustic waveguides

中图分类号: (General linear acoustics)

43.20.+g

43.30.+m (Underwater sound)

唐骏, 朴胜春, 张海刚. Three-dimensional parabolic equation model for seismo-acoustic propagation:Theoretical development and preliminary numerical implementation[J]. 中国物理B, 2017, 26(11): 114301-114301.

Jun Tang(唐骏), Sheng-Chun Piao(朴胜春), Hai-Gang Zhang(张海刚). Three-dimensional parabolic equation model for seismo-acoustic propagation:Theoretical development and preliminary numerical implementation[J]. Chin. Phys. B, 2017, 26(11): 114301-114301.

参考文献 40

[1]	Jensen F B, Kuperman W A, Porter M B and Schmidt H 2012 Computational Ocean Acoustics(New York:Springer) pp. 457-530
[2]	Zhang H G 2010 Research on Modeling and Rule of Infrasound Propagation in Shallow Water(Ph. D. Dissertation)(Harbin:Harbin Engineering University)(in Chinese)
[3]	Katsnelson B G, Petnikov V G and Lynch J 2012 Fundamentals of Shallow Water Acoustics(New York:Springer) pp. 124-138
[4]	Xu C X, Tang J, Piao S C, Liu J Q and Zhang S Z 2016 Chin. Phys. B 25 124315
[5]	Sturm F 2016 J. Acoust. Soc. Am. 139 263
[6]	Lin Y T, Duda T F and Newhall A E 2013 J. Comput. Acoust. 21 1250018.
[7]	Xu C X, Piao S C, Yang S E, Zhang H G and Tang J 2016 Acta Acustica 41 477(in Chinese)
[8]	Lee D, Nagem R J and Resasco D C 1997 J. Comput. Acoust. 5 157
[9]	Lee D, Nagem R J, Resasco D C and Chen C F 1998 Appl. Anal. 68 147
[10]	Lee D, Nagem R J, Resasco D C and Chen C F 1999 Appl. Anal. 75 183
[11]	Tony W H, Cheu S C, Chen C F, Chiang T P and Lee D 1999 J. Comput. Acoust. 7 185
[12]	Nagem R J and Lee D 2002 J. Comput. Acoust. 9 421
[13]	Hsieh L W 2005 Modeling 3D Wave Propagation in the Ocean Coupled with Elastic Bottom and Irregular Interface(Ph. D. Dissertation)(Taiwan:National Taiwan University)
[14]	Luo W Y, Zhang R H and Schmidt H 2011 Sci. China:Phys. Mech. Astron. 54 1561
[15]	Luo W Y, Yu X L, Yang X F, Zhang Z Z and Zhang R H 2016 Chin. Phys. B 25 124309
[16]	Mo Y X, Piao S C, Zhang H G and Li L 2014 Acta Phys. Sin. 63 214302(in Chinese)
[17]	Peng Z H and Li F H 2005 Acta Acustica 30 97(in Chinese)
[18]	Qin J X, Katsnelson B, Peng Z H, Li Z L, Zhang R H and Luo W Y 2016 Acta Phys. Sin. 65 034301(in Chinese)
[19]	Trofimov M Yu, Kozitskiy S B and Zakharenko A D 2015 Wave Motion 58 42
[20]	Trofimov M Yu, Kozitskiy S B and Zakharenko A D 2015 Proc. Meetings Acoust. 24 070025
[21]	Petrov P S and Sturm F 2016 J. Acoust. Soc. Am. 139 1343
[22]	Petrov P S, Prants S V and Petrova T N 2017 Phys. Lett. A 381 1921
[23]	Luo W Y and Zhang R H 2015 Sci. China:Phys. Mech. Astron. 58 594301
[24]	Deane G B and Buckingham M J 1993 J. Acoust. Soc. Am. 93 1319
[25]	Petrov P S 2017 MATLAB code http://oalib.hlsresearch.com/ThreeD/ (Last viewed 31 July 2017)
[26]	Tang J 2017 MATLAB code http://oalib.hlsresearch.com/ThreeD/ (Last viewed 31 July 2017)
[27]	Jerzak W, Siegmann W L and Collins M D 2005 J. Acoust. Soc. Am. 117 3497
[28]	Greene R R 1985 J. Acoust. Soc. Am. 77 1991
[29]	Collins M D 1989 J. Acoust. Soc. Am. 86 1459
[30]	Outing O A, Siegmann W L, Collins M D and Westwood E K 1990 J. Acoust. Soc. Am. 87 1035
[31]	Collins M D and Dacol D K 2000 J. Acoust. Soc. Am. 107 1937
[32]	Collins M D 1993 J. Acoust. Soc. Am. 94 975
[33]	Collins M D and Siegmann W L 2015 J. Acoust. Soc. Am. 137 492
[34]	Collins M D 1993 J. Acoust. Soc. Am. 93 1736
[35]	Cederberg R J and Collins M D 1997 IEEE J. Ocean Eng. 22 102
[36]	COMSOL Multiphysics Reference Manual 5.2(COMSOL AB, Stockholm, Sweden)
[37]	Collins M D 1991 J. Acoust. Soc. Am. 89 1050
[38]	Milinazzo F A, ZalaGary C A and Brooke H 1997 J. Acoust. Soc. Am. 101 760
[39]	Goh J T, Schmidt H, Gerstoft P and Seong W 1997 IEEE J. Ocean Eng. 22 226
[40]	Outing D A, Siegmann W L and Collins M D 2007 IEEE J. Ocean Eng. 32 620

Three-dimensional parabolic equation model for seismo-acoustic propagation:Theoretical development and preliminary numerical implementation

Three-dimensional parabolic equation model for seismo-acoustic propagation:Theoretical development and preliminary numerical implementation

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 40

相关文章 4

Metrics

本文评价

推荐阅读 0

[1]	Ya-Xiao Mo(莫亚枭), Chao-Jin Zhang(张朝金), Li-Cheng Lu(鹿力成), and Sheng-Ming Guo(郭圣明). Three-dimensional coupled-mode model and characteristics of low-frequency sound propagation in ocean waveguide with seamount topography[J]. 中国物理B, 2022, 31(8): 84301-084301.
[2]	Zi-jie Zhu(祝子杰), Shu-qing Ma(马树青), Xiao-Qian Zhu(朱小谦), Qiang Lan(蓝强), Sheng-Chun Piao(朴胜春), and Yu-Sheng Cheng(程玉胜). Parallel optimization of underwater acoustic models: A survey[J]. 中国物理B, 2022, 31(10): 104301-104301.
[3]	肖瑶, 李整林, 李鋆, 刘佳琪, Karim G Sabra. Influence of warm eddies on sound propagation in the Gulf of Mexico[J]. 中国物理B, 2019, 28(5): 54301-054301.
[4]	徐传秀, 唐骏, 朴胜春, 刘佳琪, 张士钊. Developments of parabolic equation method in the period of 2000-2016[J]. 中国物理B, 2016, 25(12): 124315-124315.