Review on modeling polar sea-ice acoustics waveguide

Yin Jing-Wei; Ma Ding-Yi; Zhang Yu-Xiang; Sheng Xue-Li

doi:10.7498/aps.71.20211950

Abstract

With the continued global warming, polar science has become one of the research hotspots. Regarding polar acoustics, much progress has been made due to the efforts made by scientists in the world. With the enhancement of stereoscopic monitoring capacity in polar regions, the acoustic theory and technologies applicable to Arctic sea-ice, which have long been overlooked as a branch of acoustics, are now dawning more and more attention. The propagation of elastic waves in the Arctic sea-ice is governed by its waveguide, and the understanding of which faces a grave challenge due to the unique material properties and complex internal structure of sea-ice, along with the asymmetric fluid-solid coupling at its boundaries and the inaccessibility for in-situ experiments, which is caused by the extreme condition. Aiming at an effectively and precisely modeling technique of acoustic propagation in sea-ice, including its waveguide, in this paper, the progress, the development, and the status of corresponding researches are reviewed. For a better understanding of the modeling of sea-ice, Arctic sea-ice, i.e. its formation condition, geometries, mechanical properties, microstructures, and the acoustic propagation, is briefly introduced. Different approaches to modeling the propagation of elastic waves in ice-floe based on explicit/implicit boundary conditions are presented and explained in detail. The resulting transcendental characteristic equation describing the acoustic propagation needs to be solved in a complex space for the severe energy leakage at the water-ice interface, and the necessary numerical methods of solving this equation are then explained and compared with each other. Since accurate parameters are imperative in having a satisfactory fidelity for any physical model, the acoustic parameters of Arctic sea-ice, historical evolution and experimental results, along with its assessment techniques are also presented, and a set of sound velocity parameters of Arctic sea-ice are provided for modeling. The roughness of the ice-water interface is discussed case-by-case depending on its spatial scale in comparison with acoustic wavelength for its influence on the elastic waveguide. The perspectives and potential applications of the sea-ice acoustic waveguide within the frame of promoting sustainable development of the polar region are also discussed.

Keywords:

Authors and contacts

1.
Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China
2.
Key Laboratory of Marine Information Acquisition and Security, Harbin Engineering University, Harbin 150001, China
3.
College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

Corresponding author: Zhang Yu-Xiang, yuxiang.zhang@hrbeu.edu.cn

Funds: Project supported by the Joint Funds of the National Natural Science Foundation of China (Grant No. U20A20329), the National Basic Research Program of China (Grant No. 2021YFC2801200), and the National Natural Science Foundation of China (Grant No. 52171334)

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References

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Cited By

图 1 对称模态、反对称模态的Lamb波振动模式

Figure 1. Illustration of the symmetric and antisymmetric vibration modes of Lamb wave.

DownLoad: Full-Size Img PowerPoint

图 2 弹性波导物理模型　(a)浸没式弹性板波导; (b)浮冰波导

Figure 2. Physical model of the elastic waveguide: (a) Immersed elastic plate; (b) floating ice floe.

DownLoad: Full-Size Img PowerPoint

图 3 多层介质物理模型示意图^[52]

Figure 3. Schematic diagram of physical model of multilayered medium^[52].

DownLoad: Full-Size Img PowerPoint

图 4 经典二分法绘制自由弹性冰层(*)及全浸没弹性冰层(·)频散曲线

Figure 4. Dispersion curves of ice floe in vacuum (*) and immersed in water (·) calculated using the bisection method.

DownLoad: Full-Size Img PowerPoint

图 5 局部峰值法(⋅)与谱方法(*)绘制浮冰频散曲线对比图^[64]

Figure 5. Comparison of the dispersion curves of ice floe calculated using the Local Peak Search Method (⋅) and Spectral Method (*)^[64].

DownLoad: Full-Size Img PowerPoint

map

[1]	李启虎, 王宁, 赵进平, 黄海宁, 尹力, 黄勇, 李宇, 薛山花, 任新敏, 李涛 2014 应用声学 33 471 Google Scholar Li Q H, Wang N, Zhao J P, Huang H N, Yin L, Huang Y, Li Y, Xue S H, Ren X M, Li T 2014 Appl. Acoust. 33 471 Google Scholar
[2]	Climate Change Indicators: Arctic Sea Icehttps://www.epa.gov/climate-indicators/climate-change-indicators-arctic-sea-ice [2021-1-1]
[3]	李培基 1996 冰川冻土 18 72 Google Scholar Li P J. 1996 J. Glaciol. Geocryol. 18 72 Google Scholar
[4]	Grenfell T C, Maykut G A. 1977 J. Glaciol. 18 445 Google Scholar
[5]	Nakamura N, Oort A H 1988 J. Geophys. Res-Atmos. 93 9510 Google Scholar
[6]	Magnusdottir G, Deser C, Saravanan R. 2004 J. Climate 17 857 Google Scholar
[7]	England M R, Polvani L M, Sun L, Deser C, Saravanan R 2020 Nature Geosci. 13 1 Google Scholar
[8]	Milne A R, Ganton J H 1964 J. Acoust. Soc. Am. 36 855 Google Scholar
[9]	Xu X Q, Lin J M, Fang S K 2020 Earthquake Research in China 34 264 Google Scholar
[10]	朱广平, 殷敬伟, 陈文剑, 胡思为, 周焕玲, 郭龙祥 2017 声学学报 42 152 Google Scholar Zhu G P, Yin J W, Chen W J, Hu S W, Zhou H L, Guo L X 2017 Acta Acustica 42 152 Google Scholar
[11]	Kinda G B, Simard Y, Gervaise C, Mars J I, Fortier L 2015 J. Acoust. Soc. Am. 138 2034 Google Scholar
[12]	Tian Y N, Han X, Yin J W, Liu Q Y, Li L 2019 J. Acoust. Soc. Am. 146 2482 Google Scholar
[13]	Yin J W, Liu B, Zhu G P, Xie Z N 2018 Sensors 18 3461 Google Scholar
[14]	Schwarz J, Weeks W F. 1977 J. Glaciol. 19 499 Google Scholar
[15]	Untersteiner N 1986 The Geophysics of Sea Ice (America: Springer US) pp1–8
[16]	Lebedev V V 1938 Probl. Arkt. Antarkt. 5 9
[17]	李志军康建成 2001 冰川冻土 23 383 Google Scholar Li Z J Kang J C 2001 J. Glaciol. Geocryol. 23 383 Google Scholar
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[19]	Press F, Ewing M 1951 Eos Transactions American Geophysical Union 32 673 Google Scholar
[20]	Petrich C, Eicken H 2010 Sea Ice (2nd Ed.) (America: Wiley-Blackwell) pp23–77
[21]	Cox G F N, Richter J A, Weeks W F, Mellor M 1984 a Proceedings of the 3rd International Offshore Mechanics and Arctic Engineering Symposium New Orleans, Louisiana, February 12–17, 1984 p126
[22]	Richter-Menge J A, Cox G F N 1984 Proceedings of the 3rd International Offshore Mechanics and Arctic Engineering Symposium New Orleans, Louisiana, February 12–17, 1984 p194
[23]	Timco G W, Weeks W F 2010 Cold Reg. Sci. Technol. 60 107 Google Scholar
[24]	Weeks W F, Gow A J 1980 J. Geophys. Res. 85 137
[25]	Stander E, Michel B 1989 Cold Reg. Sci. Technol. 17 153 Google Scholar
[26]	Diez A, Eisen O 2015 Cryosphere 9 367 Google Scholar
[27]	Diez A, Eisen O 2015 Cryosphere 9 385 Google Scholar
[28]	Vaughan M J, Prior D J, Jefferd M, Brantut N, Mitchell T M, Seidemann M 2017 J. Geophys. Res-Sol. 122 7076 Google Scholar
[29]	Sayers C M 2018 Geophys. J. Int. 1 1
[30]	Jeffries M G Wright W H 1988 Proceedings of the 3 rd International Offshore Mechanics and Arctic Engineering Symposium New Orleans, Louisiana, February 12–17, 1984 p201
[31]	孙俊英 2000 冰川冻土 22 3 Google Scholar Sun J Y 2000 J. Glaciol. Geocryol. 22 3 Google Scholar
[32]	Sato Y 1951 Bulletin of the Earthquake Research Institute University of Tokyo XXIX 223
[33]	Miller B E 1990 J. Acoust. Soc. Am. 89 1668 Google Scholar
[34]	Yang T C, Giellis G R 1994 J. Acoust. Soc. Am. 96 2993 Google Scholar
[35]	Miklowitz J, Kaul R K 1984 J. Appl. Mech. 46 969
[36]	Rose J L 2000 J. Acoust. Soc. Am. 107 1807 Google Scholar
[37]	Lamb H 1917 Proc. R. Soc. London A93 114
[38]	邓明晰 1996 声学学报 21 429 Google Scholar Deng M X 1996 Acta Acustica 21 429 Google Scholar
[39]	Zhu Z M, Wu J R 1995 J. Acoust. Soc. Am. 98 1057 Google Scholar
[40]	Solie L P, Auld B A 1973 J. Acoust. Soc. Am. 54 50 Google Scholar
[41]	Osborne M F M, Hart S D 1945 J. Acoust. Soc. Am. 17 1 Google Scholar
[42]	Dayal V, Vinay K K 1989 J. Acoust. Soc. Am. 85 2268 Google Scholar
[43]	Wu J R, Zhu Z M 1992 J. Acoust. Soc. Am. 91 861 Google Scholar
[44]	Press F, Ewing M 1951 J. Appl. Phys. 22 892 Google Scholar
[45]	Landschulze M 2018 Near Surf. Geophys. 16 493 Google Scholar
[46]	Yang T C, Yates T W 1995 J. Acoust. Soc. Am. 97 971 Google Scholar
[47]	Graff K F 1975 Wave Motion in Elastic Solid (London: Oxford University Press)
[48]	Thomson W T 1950 J. Appl. Phys. 21 89 Google Scholar
[49]	Haskell N A 1953 Bull. Seismol. Soc. Am. 43 86 Google Scholar
[50]	Knopoff L A 1964 Bull. Seismol. Soc. Am. 54 431 Google Scholar
[51]	Randall M J 1967 Bull. Seismol. Soc. Am. 57 1299 Google Scholar
[52]	Lowe M J S 1995 IEEE T. Ultrason. Ferr. 42 525 Google Scholar
[53]	Yu L Y, Tian Z H 2015 Nondestruct. Test. Eva. 3 1 Google Scholar
[54]	Press F, Harkrider D G, Seafeldt C A 1961 Bull. Seismol. Soc. Am. 51 495 Google Scholar
[55]	Thrower E N 1965 J. Sound Vib. 2 210 Google Scholar
[56]	Watson T H 1970 Bull. Seismol. Soc. Am. 60 161 Google Scholar
[57]	Fred, Schwab 1970 Bull. Seismol. Soc. Am. 60 1491 Google Scholar
[58]	Schwab F A, Knopoff L 1972 Methods in Computational Physics: Advances in Research and Applications (Vol. 11) (New York: Academic Press) pp87–180
[59]	Mal A K, Kundu T 1987 Review of Progress in Quantitative NDE (Vol. 6) (New York: Springer US) pp109–116
[60]	M. J. S. Lowe 1993 Ph. D. Dissertation (London: University of London)
[61]	Barshinger J N, Rose J L 2004 IEEE T. Ultrason. Ferr. 51 1547 Google Scholar
[62]	刘增华, 何存富, 吴斌 2005 无损检测 27 225 Google Scholar Liu Z H, He C F, Wu B 2005 Non Destructive Testing 27 225 Google Scholar
[63]	龚家元 2010 硕士学位论文(哈尔滨: 哈尔滨工程大学) Gong J Y 2010 M. S. Dissertation (Harbin: Harbin Engineering University) (in Chinese)
[64]	马丁一, 张宇翔, 谢志南, 高家辉, 殷敬伟 2019 声学技术 4 479 Ma D Y, Zhang Y X, Xie Z N, Gao J H, Yin J W 2019 Technic. Acoustics 4 479
[65]	赵凤文 1991 哈尔滨船舶工程学院学报 2 110 Zhao S W 1991 J. Harbin Engineer. Univ. 2 110
[66]	Adamou A T I, Craster R V 2004 J. Acoust. Soc. Am. 116 1524 Google Scholar
[67]	Karpfinger F, Gurevich B, Bakulin A 2008 J. Acoust. Soc. Am. 124 859 Google Scholar
[68]	Karpfinger F, Valero H P, Gurevich B, Bakulin A, Sinha B 2010 Geophysics 75 H19 Google Scholar
[69]	王献忠, 吴卫国, 庞福振, 孔祥韶 2015 振动与冲击 34 13 Google Scholar Wang X Z, Wu W G, Pang F Z, Kong X S 2015 J. Vibrat. Shock 34 13 Google Scholar
[70]	Zharnikov T V, Syresin D E, Hsu C J 2013 J. Acoust. Soc. Am. 134 1739 Google Scholar
[71]	Quintanilla F H, Lowe M, Craster R 2015 AIP Conf. Proc. 1650 739 Google Scholar
[72]	Sinha, B K, Tiersten H F 1981 J. Appl. Phys. 52 7196 Google Scholar
[73]	Jen C K, Safaai-Jazi A, Farnell W G 1986 IEEE T. Ultrason. Ferr. 33 634 Google Scholar
[74]	Porter M B, Reiss E L 1985 J. Acoust. Soc. Am. 77 S13 Google Scholar
[75]	Brazier-Smith P R, Scott J F M 1991 J. Sound Vib. 145 503 Google Scholar
[76]	何世平, 汤渭霖, 范军 2005 声学学报 30 249 Google Scholar He S P, Tang W L, Fan J 2005 Acta Acustica 30 249 Google Scholar
[77]	Ivansson S 1992 J. Acoust. Soc. Am. 89 1894 Google Scholar
[78]	Wang N Wang H Z 2010 J. Comput. Acoust. 18 159 Google Scholar
[79]	Wang H Z, Wang N, Gao D Z 2012 J. Acoust. Soc. Am. 131 1047 Google Scholar
[80]	Mccammon D F, Mcdaniel S T 1985 J. Acoust. Soc. Am. 77 499 Google Scholar
[81]	Ewing M, Crary A P, Jr A M T 1934 Physics 5 165 Google Scholar
[82]	Crary, A P 1954 EOS Transact. Am. Geophys. Union 35 293 Google Scholar
[83]	Hunkins K 1960 J. Geophys. Res. 65 3459 Google Scholar
[84]	Schwartz J 1970 Revue Decologie Et De Biologie. Du. Sol. 354
[85]	Timco G W, Frederking R M W 1996 Cold Reg. Sci. Technol. 24 1 Google Scholar
[86]	Cox G F, Weeks W F 1988 Army Cold Regions Research & Engineering Laboratory Crrel Report 88 13
[87]	Eicken H, Krouse H R, Kadko D, Perovich D K 2002 J. Geophys. Res. 107 8046 Google Scholar
[88]	Cox G F N Weeks W F 1974 J. Glaciol. 13 109 Google Scholar
[89]	Johnston M Timco G W 2002 Proceedings of the 16 th IAHR International Symposium on Ice 2 194
[90]	Ackley S F, Hibler W D, Kugzruk F K, Kovacs A, Weeks W F 1974 Oceans IEEE 1 109 Google Scholar
[91]	Andreas E L, Lange M A, Ackley S F, Wadhams P 1993 J. Geophys. Res-Oceans 98 12 Google Scholar
[92]	Mcphee M G 2002 J. Geophys. Res-Oceans 107 11 Google Scholar
[93]	Adolphs U 1999 J. Geophys. Res-Oceans 104 13 Google Scholar
[94]	Robinson N J, Stevens C L, McPhee M G 2017 Geophys. Res. Lett. 44 1814 Google Scholar
[95]	Ech-Cherif El-Kettani M, F Luppé, Guillet A 2004 Ultrasonics 42 807 Google Scholar
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Vol. 71, Issue 8 - 2022-04-20

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