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(1)   行政院國家科學委員會專題研究計畫. 成果報告.   台灣周邊海域混響預估模式之建立(III)     計畫類別: 個別型計畫 計畫編號: NSC 94-2623-7-110-002 執行期間: 94 年 01 月 01 日 至 94 年 12 月 31 日 執行單位: 國立中山大學海下技術研究所       計畫主持人: 劉金源 共同主持人: 陳信宏       報告類型: 完整報告 處理方式: 本計畫可公開查詢         中. 華. 民. 國. 95    . 年. 4. 月. 25. 日.

(2) ¬Èø\“½®0•(ƒ(ï£ÿ P˜ñIII Prediction and Modeling of Reverberation in Ocean Waveguide Near Taiwan (III). Œix¹ß‘٠ƕŽ›»ñ .“ì*@~X HŽ›»Iº»§I*s"]n.)®ÜŸà Æ•§Üè°O×`×^‹Üè°OèÞ`ëè×^ Œi_rNSC 94-2623-7-110-002. @~WŒ ×. Üè"Oë`ëè×^.

(3) ê Ï×a @~êÝ`Š. 1. ÏÞa ÷ §¡óºÕÿP 2.1 ƒ(ÃÍÌF . . . . . . . . . . . . . . . . . . . . . . . . 2.1.1 ›”ƒ(ù . . . . . . . . . . . . . . . . . . . . . 2.1.2 «ƒ(ù . . . . . . . . . . . . . . . . . . . . . 2.2 ÷ §¡ÿP . . . . . . . . . . . . . . . . . . . . . . . . 2.2.1 ή]P݊ . . . . . . . . . . . . . . . . . . . 2.2.2 \&ö›° . . . . . . . . . . . . . . . . . . . . . 2.2.3 Õ·&«X®ßƒ(Ν . . . . . . . . . . . . 2.2.4 «ÎÙX®ßƒ( . . . . . . . . . . . . . . . 2.3. OASES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3.1 2.3.2 2.3.3. + . . . . . . . . . . . . . . . . . . . . . . . . . ºÕÿà . . . . . . . . . . . . . . . . . . . . . . E®]° . . . . . . . . . . . . . . . . . . . . . . i. 3 4 5 6 9 10 11 12 13 15 15 16 17.

(4) ê. ii. 2.3.4. @jP». . . . . . . . . . . . . . . . . . . . . . .. Ïëa @“½Î.@™ - —ȓõ@™ 3.1 @™2F . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2 Bio-probe T”·9¯@™ . . . . . . . . . . . . . . 3.3 ITC-6050C ù˜"¯@™ . . . . . . . . . . . . . . . 3.3.1 @™ÄS . . . . . . . . . . . . . . . . . . . 3.3.2 £]

(5) §5— . . . . . . . . . . . . . . . . . . . 3.4 —ȓõ@™!˜H . . . . . . . . . . . . . . ϰa “2ٌÿP˜ñ Ï"a Îû[Ý£ 5.1 AST-Sonar Î.IYÙ . . . . . . . . . . . . . . . . . 5.1.1 + . . . . . . . . . . . . . . . . . . . . . . . . . 5.1.2 8nTà . . . . . . . . . . . . . . . . . . . . . . Ï0a ”¡˜È. 22 27 27 29 35 41 44 56 61 67 67 67 70 73.

(6) %ê 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9. Îlƒ(Gr [20] . . . . . . . . . . . . . . . . . . . . . . ήXï ÕÝi›b[Y÷ ›” . . . . . . . . . . ®@&«®à¿¢îŒ% . . . . . . . . . . . . . . . “«÷ ú— £b[®{Ž; . . . . . . . . . . “÷ ú— á Ž; . . . . . . . . . . . . . . . •(ÿP . . . . . . . . . . . . . . . . . . . . . . . . . . OASR íá}P¢ó+Û . . . . . . . . . . . . . . . . OASR íá}P¢ó+Û . . . . . . . . . . . . . . . . input.dat . . . . . . . . . . . . . . . . . . . . . . . . . . .. D ;ó% . . . . . . . . . . . . . . . . . . . . . 2.11 OASR D ‡a% . . . . . . . . . . . . . . . . . . . . 2.12 OASR •(Î>% . . . . . . . . . . . . . . . . . . . . . 2.13 OASR ”) MATLAB XÿWŒ% . . . . . . . . . . .. 2.10 OASR. 3.1. —Ȳ““õ@™ . . . . . . . . . . . . . . . . . . . iii. 4 5 7 8 8 9 19 20 22 23 24 24 25 28.

(7) %ê. iv. 3.2 3.3 3.4. —Ȳ“i% . . . . . . . . . . . . . . . . . . . . . —Ȳ““T”·Ô55µ% . . . . . . . . . . . . Bio-Probe Receiver . . . . . . . . . . . . . . . . . . . . .. 9îŒ% . . . . . . . . . . . . . . . . . . . 3.6 Bio-Probe 9@™›îŒ% . . . . . . . . . . . . . . 3.7 @™£]0%‡a% . . . . . . . . . . . . . . . . . . . 3.8 Bio-probe µw›H% . . . . . . . . . . . . . . . . . . . 3.9 Ï×g@™“¯B . . . . . . . . . . . . . . . . . 3.10 Ï×g@™@~ù|‡a]P;Ä Bio-probe [¯ 3.11 0“0ù|GûÒ;Ä@™X . . . . . . . . . . . . . . 3.12 Ï×g@™@~ù|5]P;Ä Bio-probe . . . . . 3.13 ITC6050C Ô;¼¯„H . . . . . . . . . . . . . . . . 3.14 !—iìi¸±Ú'îŒ% . . . . . . . . . . . . . . 3.15 “•r . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.16 ²ºr . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.17 ITC6050C ù˜"¯@™›îŒ% . . . . . . . . . 3.18 0Æ )% . . . . . . . . . . . . . . . . . . . . . . . . . 3.19 Ô;¼¯„HÚ'îŒ% . . . . . . . . . . . . . . . . 3.20 l0ÆÒ)ý . . . . . . . . . . . . . . . . . . . . . 3.5. Bio-Probe. 29 29 30 31 32 33 33 34 35 36 36 38 39 39 40 41 42 43 44.

(8) %ê. v. —-²` -Îú%î%C1 ÿiÎì%C2 ÿiÎ . . . . . . . . . . . . . . . . . . . . . . . . . . 3.22 —-²`%î%C1 ÿiÎì%C2 ÿ iÎ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.23 ©„¨é`%î%C1 ÿiÎì%C2 ÿiÎ 3.24 11:22:16 0aÆá)î%C1 ¯£]ì%C2 ¯£] . . . . . . . . . . . . . . . . . . . . . . . . . . 3.25 11:36:40 `%î%C1 ¯£]ì%C2 ¯ £] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.26 î%11:46:32 `% C1 ¯£]ì%11:53:59 ` % C1 ¯£] . . . . . . . . . . . . . . . . . . . . . . 3.27 î%11:46:32 `% C2 ¯£]ì%11:53:59 ` % C2 ¯£] . . . . . . . . . . . . . . . . . . . . . . 3.28 ` ;ŽÝËùûÒ . . . . . . . . . . . . . . . . . . . 3.29 ÎÙùi ` Ž; . . . . . . . . . . . . . . . . . . . 3.30 @™`ð/Î>5¾ . . . . . . . . . . . . . . . . . . . . 3.31 M!?Ž  . . . . . . . . . . . . . . . . . . . . . 3.32 È?Pš­a!% . . . . . . . . . . . . . . . . . . .. 3.21. 4.1 4.2 4.3. HCÍXÿaÕ·“ . . . . . . . ÿPæ2à#?2f´ [5] . . . . . . . . {˜HCÍXÿaÕ·“ . . . . . . . . . . . . . .. Goff and Jordan. 45. 46 49. 50. 51. 52. 53 54 55 56 57 58 63 64 65.

(9) %ê. vi. 4.4 5.1. HXÿaÕ·“« . . . . . A.U.D.I.  AST-Sonar ”)% . . . . . . . . . . . . . .. Pierson and Moskowitz. 65 69.

(10) ê 3.1 3.2 3.3 3.4. 9¯@™† . . . . . . . . . . . . . . . . ITC6050C ù˜"¯@™† . . . . . . . . . . . . . “•r!} . . . . . . . . . . . . . . . . . . . . . . . . . ITC-6050C ù˜"¯@™@™S . . . . . . . . . . BioProbe. vii. 30 37 40 47.

(11) viii. ê.

(12) Ï×a @~êÝ`Š Í@~Û3y"D¬È!“½®0•(x›ÎûXˆßƒ( (reverberation) ®Þãyƒ(Û2â8 ÓÝ.ô.hÄ6 DÄ×Ý@~]¾Wƒ(ÿP˜ñ|CÎû[Ý£ ͌i˜xƒ(ÿPÝ@~Aì 1. § ¡  ó  ÿ P  ˜ ñ ãyƒ(xŠ.Õ·&«“«T“ ‚®ß.h´Ä6˜ñƒ(ݧ¡ÿPQ¡¢ã¨ * ݓõÎ.8nݺÕ8›OŠƒ(Ν 2. ÿ P ? Ž  “ õ ? Ž   ˜ x ãy§¡ÿP3@jTàî ºb0-.hÄ6Bã@™ÝM»@ñ§¡ÿPݎà P¬®Ê ÝÑÑbn9×]«Ý®ÞÍ@~3Ĝ×O  •9gÝ@“½@™Q‚ãy@™'n•vÿ PÝ?ŽÄ63§Ý“½ •]ÿÕbŒLݙJ. hÍ@~^‹êG c)P°WÿP?Ž4QAhÍ @~۔)̀8nŒi˜x5—ȓõ?Ž6Ýêý. •ïŒ3μÝ×O |W¬ •@™?Ž 1.

(13) 2. CHAPTER 1.. @~êÝ`Š. “2ÿP;DÕ3WÿP?Ž¡ •ƒ(Îï £ÝxŠ.ôÇΓ«T“Õ·«ÝÿP;Õ·«ÝÿP; Ä6¢ã2@?£]A9Î@“92?ºÙ •ÿP ¢óDÕh×®Þ͖ôÎ×Íè5ÓÝ®ÞÍ@~µ “ÿP;Ý •óÂÿaêG)¹ •  4. SRR  Î û [  Ý £ 3Wî&4@~¡ǝ¢ã¨ @™˜ñƒ(ÿP¬ŒÕ5GƒfSingal-Reverberation Ration, SRR6|¿ •Îû[Ý£3͌iC8nŒi ÝYîìÍ@~‡2×Îûÿaٝ® Îû[Ý £ ãyîÏ 2 4Ï 3 4@~Kœ—Õ8 ½ݮÞLÍÎ “õ?ŽÝ˜xÍXmŠ7áÝßæÎæGøÄ͌iY HÝP.hÍ@~Û¢ã>‡I 2006–2010O5s"»j×ø .CcJ@~T6Œi3ÍlX'ñÝ5±H“õ@~T6  ¹ •@~ 3.. 1. 1. ͌ix¹ß3͌ix¹5*§

(14) *˜ñ6¬|˜ñ“õ?Ž ´Šêý.

(15) ÏÞa ÷ §¡óºÕÿP 3x›ÎûÙ ãÎûXë Ýήº. &xŠêý ÎÝ÷ Fꂮ߃(Ýeÿ¯h˃([Tð3®0® ßv«3 ñ¢X®ß/¯[T×ãyƒ([TÎÙ ÝWÑf.hƒAx›ÎûÎÙ´úJƒ(XCWÝeÿ ¯ø÷•(¯‚§×ÝÎûÝE®ûÒh˵×Ë® ßJ¡Î¦úÎÙT3#[´KPÃy;ŸÎûÝE® [hÛÌ å×yƒ(ÎûÙ (reverberation-limited sonar system) “õ®0•(ƒ(EyÎû[Å(¹G3E ®î¼ª±ÍÅ(—ãyƒ(0.y&xŠêýΓõ\& [T÷ Fê.h͌3ƕî´Ä6EyÃÍ÷ § ¡bX݊͌iƕGËOS ƒ(÷ Ãͧ¡Í  ×ލ¯1€ï”)óºÕ8› OASES (Ocean Acoustics and Seismic Exploration Synthesis)M@aŒ¬Èø\“½ƒ( §¡ÿP 1. 1. ãyÍO—ÛÏëO— JRŒÍ ×I5ZCÛãŠG× × 3.

(16) 4. 2.1. CHAPTER 2.. ƒ(ÃÍÌF. ÷ §¡óºÕÿP. 3“õ•(CWƒ(Ý.ô5WËvÍ×Ì ›”ƒ( (volume reverberation)¨×vÌ «ƒ( (surface reverberation)›”ƒ(xŠÎ¼i›Ý&xŠêýÎXCWÝ/ ¯[T»A3^Œ?ieNXCWÝ/¯[T«ƒ( xŠÎãy“õ&«‘À“«“XCWÝ/¯®àÎlÝ ƒ(GrA% 2.1 Xî [20]. % 2.1: Îlƒ(Gr [20]. ƒ(4&ãixŠêýÎX0l¬Î

(17) §Ä

(18) §êýÎ 8«.hŒÕƒ(Ý]°ŒÕêýú—v« [22] σt B02   TS = 10 log 2d 4πrref t   σ  , dB//rref ≡ 10 log  2 4πrref . . (2.1). îPσ Ì Š5Y÷ ^« (differential back-scattering cross section)ÍL  σ ≡ σt. B02 dt. (2.2).

(19) 2.1.. ƒ(ÃÍÌF. 5. ›”ƒ(«ƒ(2P.0íãP (2.1) W!`ìZÞ "DCWƒ(xŠ.ô ›”ƒ(ù 3i›ήÂÕP²8!ݲ²»A“õb^› (marine organism)â3i‡¼#•Š”x (thermal microstructure) ‡Þ®ß÷ ‚WÎû/¯i›b[Y÷ ›”A% 2.2 X î 2.1.1. % 2.2: ήXï ÕÝi›b[Y÷ ›”. 3Ê5 ݵ월ƒ(êýú—î  mv r2 Ωe cτ   + 10 log , dB//1 m TSv = 10 log 4π 2 !. . . (2.3). îPŸ\Ï×4 ›”Y÷ ú—ù (volume back-scattering strength level)h4Ûã“õXâ÷ ›óÝ9>XX‚ÏÞ4Ì Y÷ ›”ù (back-scattering volume level)h4ãÎûÙP ²XXÍ m Y÷ ú—r 5'ûÒΩ ®@ ‡[ñ›c Î>τ Ž´— v. e.

(20) 6. ÷ §¡óºÕÿP. CHAPTER 2.. uÊ5 ®0•(uSà—«;J3i¿]' XˆÝ=)¢% 2.2*ÞãæÝ rφ ; Rφ ‚3kà ]'JãæÝ rθ ; D Ì b[÷ ›”{— (effective scattering height)Þ9°P‚áP (2.3) ÿ5 ®0›”ƒ( êýú—  e. e. e. e. Rφe De cτ mv + 10 log , dB//1 m TSv = 10 log 4π 2. (2.4). RLv = SL(0) − 2TL + TSv. (2.5). !. !. A!Ê•(¯×ãƒ(XCWÝ/¯Ú E*rÝ ×ËWQ‚•(¯ƒ(3P²îQbœÝ!u| x›ÎûÌFÚJ3Îû

(21) ›”ƒ(ù (volume Reverberation Level, RL )  v. «ƒ(ù “«“ÛCW®0F꫃(Ý.ôLÍΓ«ƒ( Ey“«ùwÎûE®bœ¥ŠÝÅ(ãy“«“í Õ·«.hήÂՌË&«¡º®ß÷ ÷ I ÞF /Îû‚CWƒ(th²ÒV“«×Î/Ýi›.âbœ9‡ ¼.hùCWƒ(Ý.ô×4Q‡¼X®ß݃(T ›” ƒ(¬ÎãyH#“«|lp|«ƒ( 5.h× ÞÍ[T«ƒ(×R ›”ƒ(8«uÊ5 ݵì®@&«#ÇÝ µA% 2.3 Xî h`«ƒ(êýÎ÷ ú— . 2.1.2. ms TSs = 10 log + 2π !.    . .  rφe cτ 10 log 2 cos θ0 ,   2    10 log r Ωe , sin θ0. cτ 2. <. rθe tan θ0. cτ 2. >. rθe tan θ0. (2.6).

(22) 2.1.. ƒ(ÃÍÌF. 7. % 2.3: ®@&«®à¿¢îŒ%. îPŸ«Ï×4 «Y÷ ú—ù (surface back-scattering strength level)ÏÞ4 Y÷ «”ù (back-scattering surface level) ‚ÏÞ4Ï×PÊàyi¿'Îû‚ÏÞPÊykà'Î ûÍ m î&«÷ ú—φ  Ω 5½ÎÎ@3i¿]'݇ [ù|C‡[ñ›ùÂÿ¥ŒÝŸ\Ï×45P5Ò 2π ‚& 4πhÛ. ήEy&«Ý÷ ©ˆ–Íè  Ê5 ¨é`Eyi¿'ÎûùÇ®@—Ð) < `J r  θ 5½| Ri¿FûC θ ®@3&«Ý `ã‚ǝ.h«ƒ(êýú—  s. cτ 2. rθe tan θ0. e. 0. e. s. Rφe cτ ms + 10 log TSs = 10 log 2π 2 cos θs !. !. (2.7). Eykà'Îû5 ¨é¬Μ¥Š.hP (2.6) ÏÞ P)Qb[ % 2.4 % 2.5 5½ “«÷ ú— γ = f h sin θ Ž;C“ ÷ ú— á ` θ ݎ;h b[®{ (significant wave height)γ à–“«Õ·—8Ey£Ý¢óŒË%躓 «“Y÷ ú— SBSS.

(23) 8. CHAPTER 2.. ÷ §¡óºÕÿP. % 2.4: “«÷ ú— £b[®{Ž;. % 2.5: “÷ ú— á Ž;.

(24) 2.2.. 2.2. ÷ §¡ÿP. 9. ÷ §¡ÿP. Í@~|"DÌÕ·&«“õ®0X®ß݃( x.hŒ iƕÏ×O"DÕ·«÷ 8n®ÞÍ| Kuperman and Schmidt [9] C Liu, Schmidt, and Kuperman [11, 10] ‡Xs"§¡ÿ P ¥FÍ@~Ç|9°§¡ÿP® ¡£]5—xеA ãZ¤ÿáKueprman and Schmidt [9] Xs"bni¿5·+² Õ·&«÷ §¡͕(ÿPA% 2.6 X¡¢ãŠ M—ö›]° (small amplitude perturbation method)˜x×]óºÕÿP|¿y"D“õè®ήFê (propagation)  ÷ (scattering)ƒ( (reverberation) Ý®Þ. % 2.6: •(ÿP. Xs"ÝÿPGÊàŽFÎÙÝ®Þ ¡Liu, Schmidt, and Kuperman [11, 10] ތÿP;¨‹|"D =ÎÙÝÿP¬¢Œ;¨ÿP"D“õ«¯3“õ•(÷ Kueprman and Schmidt [9].

(25) 10. CHAPTER 2.. ÷ §¡óºÕÿP. ƒ(Ý®ÞÍ@~Þ[ãZ¤¥Š”Œ¼1€h®Þ. ή]P݊ ¢ãm¿fΝ5Š (Fourier decomposition) Ý]P3i¿· ;ݕ(Ž ω >+]P (Helmholtz equation) ݊| îW 2.2.1. 1 Z 2 −j(k·r−ωt) − αi z d ke [χe i (k)e−αi z + χe + ], χi (r, z, t) = i (k)e 2π. (2.8). îPχ ‚Ï i ·ήݛT (displacement potential) ‚ α α = k − K Ík = |k| i¿®ó (horizontal wavenumber)‚ K = ω/c +²®ó3ø›+²χ îDæ ® (compressional wave) ›T‚3ÄP+² (elastic medium) χ ‚ëˮݛT5½ÎDæ® φ(t, r, z)kàÁ;– æ® (vertically-polarized shear wave) ψ(t, r, z)|Ci¿Á;–æ® (horizontally-polarized shear wave) Λ(t, r, z) P (2.8) XÓ¨ÝPÛÎîÞή5ŠWîF® (up-going wave) ìF® (down-going wave)ÍM»5½ χ (k)  χ (k)9 °M»ÛÎ| k ¢óÝÎ;ó¢ãή3\&îXÄ6Ð)Ý Î§f‘ÀDæ›É=Ìߝ|˜xOŠÎáM»ÝaP Ù¬|Š5ºÕ B îW i q. i. 2. i. i. 2 i. i. i. i. e+ i. e− i. i. f e∓ B i (k)χ i;i+1 (k) = 0, i = 1, 2, ..., N − 1,. (2.9). îPN î+²Ý·ó‘Àîì–PM+²‚ χ ‘ âÏ i ·Ï i + 1  ÎáM»Ý' i;i+1.

(26) 2.2.. ÷ §¡ÿP. 11. \&ö›° EyÌbÕ·—|CÕ·« —Š8Ey®‚ŽW›Ý Õ·&«‚ŽP (2.9) ¢ãö›]°TŒ˜"PBÄ.0 ‚“ÿÑÑ¡Ý\&fAì. 2.2.2. Bi∗ (χi;i+1 ) = Bi (χi;i+1 ) + γ 0 ◦ bi (χi;i+1 ),. (2.10). îPγ(r) ë¿íÝÕ·&«Ðó‚ γ Õ·«ÝV—Ðó (gradient)ºÕ b ÛÎ. 2ý»ð‚ÿÍۂ«I»Ý —‚Ðr ◦ ‚/”T²”ãXy&«X5+²ÝP²P (2.10) ÝÑ@P O(γ) #½ÞÀ›Î5ŠW¿í (mean field) hχ i C÷  (scattered field) s ùÇ 0. i. i. i. χi = hχi i + si. (2.11). îP÷ ›TÕ·— γ 8!M—¿àö›]° |.0OÿOŠ¿í÷ XmÐ)ÝaPÙ]PÞ Ý.0¢Œ Kuperman and Schmidt æ¡Z [9]OŠ¿íÝ \&f  .  .  hγ 2 i ∂ 2 f f B (k) + I (k) + I (k) hχe ∓ B (k) + i 1 2 i;i+1 (k)i = 0,  i  2 2 ∂z. (2.12). îP÷ ºÕ I (k)  I (k) 5½LAì 1. 2. f hγ 2 i Z 2 ∂B i (q) I1 (k) = − d qPb (q − k) 2π ∂z   f ∂ B (k) i f−1  − j(q − k) ◦ ˜bi (k) , ×B i (q) ∂z hγ 2 i Z 2 I2 (k) = − d qPb (q − k)j(q − k) ◦ ˜bi (k) 2π. (2.13).

(27) 12. CHAPTER 2.. ÷ §¡óºÕÿP . . f ∂B i (k) f−1  − j(q − k) ◦ ˜bi (k) . ×Bi (q) ∂z. (2.14). ¨×]«OŠ÷ Ý\&f  f B si;i+1 (q) i (q)˜. 1 Z 2 = − d k˜ γ (q − k) 2π   f ∂ B (k) i × − j(q − k) ◦ ˜bi (k) hχe ∓ i;i+1 (k)i.(2.15) ∂z. î]Phχ i s˜ 5½îÏ i  i + 1 ¿í÷  ¿«®5ŠÝM»‚ P (q) ŒÕ·&«H (power spectrum) ÍLAì e∓ i;i+1. i;i+1. b. hγ 2 iPb (q) =. 1 Z 2 d rb N (rb )ejq·rb 2π. (2.16). PN (r ) = hγ(r )γ(r )i ÛÎÕ·«è nÐÐó (correlation function)vGËÍ#[F8E›Hbn‚–E›HPn ùÇr = r − r  b. b. 0 b. b. b. 0 b. Õ·&«X®ßƒ(Ν 3ö›§¡ÝÚxìƒ(͝¢ãP (2.15) OÿQ‚3óº ÕîQÎ8 ð`3Í;Þ|¨×]P.0ŒŒÕƒ(Ν Ýb[ÿP ¢ãm¿f5ŠÝÌFÌߝ|Þ÷ îWì”5P 2.2.3. 1 si (r, z; rs , zs ) = − (2π)2. Z Z. d2 qd2 k γ˜ (q − k)ei (z, q)A(q, z, k)e−jq·(r−rs ) (2.17). îPÎp A ì]P݊ f B i (q)A(q, z, k) =.  f  ∂B i (k)  ∂z.  . − j(q − k) ◦ ˜bi (k) hχe ∓ i;i+1 (k)i.. (2.18).

(28) 2.2.. ÷ §¡ÿP. 13. ‚ e (z, q) ÛÎ×âbkà5ÝEÎpùÇ i. ei (z, q) = diag[e−αi z , eαi z ].. (2.19). #½¢ãŽóŽðp = q − k]P (2.17) îW 1 si (r, z; rs , zs ) = − (2π)2. Z. d2 p γ˜ (p)I(p, z, r)e−jp·(r−rs ). (2.20). d2 kei (z, p + k)A(p + k, z, k)e−jk·(r−rs ). (2.21). îP. I(p, z, r) =. Z. ¢ã]P (2.20)ƒ(Νè nÐÐó|îW hsi (r1 , z1 ; rs , zs )s∗i (r2 , z2 ; rs , zs )i = hγ 2 i Z 2 d pPb (p)I(p, z1 , r1 )I ∗ (p, z2 , r2 )e−jp·(r1 −r2 ) 3 (2π). (2.22). îP.0ÄÌß¿àÝìP². h˜ γ (p1 )˜ γ ∗ (p2 )i = 2πhγ 2 iPb (p1 )δ(p1 − p2 ). (2.23). Âÿ¥ŒÝ]P (2.22) :«0îݔ5PQ‚ãy”5/ IÝË͔5P²8!ݔ5P‚Gb#[F—Ý!. hJ͔5!°îݔ5hÛxWbŒÕƒ(ΝݥŠ .ô «ÎÙX®ßƒ( ãy“«W›ÛΓõ•(¥ŠÝÎÙ.hÍ;ùލ ÝW–ŒÕ«ÎÙXCWƒ(Ý8nÿP 2.2.4.

(29) 14. CHAPTER 2.. À›¯è nÐÐó|îW. ÷ §¡óºÕÿP. Cωt (r1 , r2 , z1 , z2 ) = hχi (r1 , z1 )χ∗i (r2 , z2 )i ∗. = h(hχi i(r1 , z1 ) + si (r1 , z1 ))(hχi i (r2 , z2 ) + si ∗ (r2 , z2 ))i ∗. = hhχi i(r1 , z1 )hχi i (r2 , z2 )i +hsi (r1 , z1 )si ∗ (r2 , z2 )i,. (2.24). îPÐr (··) îE«XbÎÙ”5]P (2.24) Ï ×4ÏÞ45½î¿í÷ ø!8nÐó¨²Âÿ ¥ŒÝ¿í÷ ¶”À›¿í ëhÛ. ë¿í ^ ÎÙƒ'h¢ãP (2.25) CìP.0‚ÿ 1 hχi i(r, z) = 2π. Z Z. −jp·(r−rs ) d2 rs d2 p Sω (rs )ei (z, p)hχe ∓ i;i+1 (p)ie. .0 ^=ÎÙX®ß݃(.0ŽFÎك(Ν8« °.ÎÙ PM.hÄ6Bã”5Oÿ si (r, z) = −. 1 (2π)2. Z Z. d2 rs d2 p Sω (rs )˜ γ (p)I(p, z, r)e−jp·(r−rs ). (2.25). ƒ(Νè nÐÐó  1 Z Z Z Z 2 0 2 00 2 d rs d rs d p1 d2 p2 hsi (r1 , z1 )si (r2 , z2 )i = 4 (2π) ×hSω (r0s )Sω (r00s )˜ γ (p1 )˜ γ (p2 )i ∗. ×I(p1 , z1 , r1 )I ∗ (p2 , z2 , r2 ) 0. 00. ×e−jp1 ·(r1 −rs ) ejp2 ·(r2 −rs ) .. (2.26). îP.0Äۃ' ^ÎÙÕ·« ^©P!8 ¢ã ×M.0]P (2.26) |;WìÿP ∗. hsi (r1 , z1 )si (r2 , z2 )i = hγ. 2. ihSω2 i. Z Z. d2 pd2 kPs (p + k)Pb (p).

(30) 2.3. OASES. 15. ×A(p + k, z1 , k)A∗ (p + k, z2 , k) ×e−jk·r. îPr = r. (2.27). ‚ hS i  P (k) 5½“«¯Ùí]ú— (mean-square strength) CÕ·«H t¡¢ãŽó»ðq = p + kÀΝè nÐÐó  1. 2 ω. − r2. Cωt (¯r, z1 , z2 ) = hSω2 i . Z 2. d2 qPs (q). × hγ i +. 2.3. b. Z. d2 k[Pb (q − k)A(q, z1 , k) A∗ (q, z2 , k)]. 2πei (z1 , q)e∗i (z2 , q)|hχe i (q)i|2. o. e−j¯r·q .. (2.28). OASES. Í@~tÝ|GZX+Û§¡ÿP Á²ùS ×ó ŒÕ8› OASES”)§¡óºÕJÿa“õƒ(Ν ¡ZލŠ+ÛhºÕ8› 2.3.1. +. MIT ^_C“õ

(31) >0 Henrik Schmidt XsÎ.ŒÕ8 ›xŠºài¿·; (horizontal stratification) ÃFÿaË@“ õ•(¬ºà®ó”5° (wavenumber integration) ”)Îpº Õ* (Direct Global Matrix)ÿai¿·;®0•(èÎFê [15, 16, 7] OASES G– SAFARI (Seismo-Acoustic Fast filed Algorithm for OASES (Ocean Acoustics and Seismic Exploration Synthesis).

(32) 16. CHAPTER 2.. ÷ §¡óºÕÿP.  Henrik Schmidt \Xs ºÕ8› SAFARI !

(33) 3y OASES 3óºÕî?b[£ v¥±LºÕîÎpP¸ÿæy SAFARI P°Þ@ ŒÕݿ˴ÁÐݕ(¨ã OASES ÞãŒÕW¸àî OASES 'ì8y SAFARI¸à]°¢óíá}P SAFARI E®W‰¬PÞl [17]vf SAFARI TàPš? 8{›mOî×Íßé\‰Blé\íH„}Ä6 º®y UNIX ¿¬î× Microsoft Windows Ý®¼Ù¬ ÊàH„Ä8n¢ó'¢ïZ¤ [18] Range-Independent environments). 2.3.2. ºÕÿà. ή3!“õiì•(D 5 Fêƒ(‡¨é P¡Î@™î§¡îTóÂÿaî×àKÎiÎ."DÝ¥ FOASES -Îÿa&ËÎ.¨é¬|ÿàÝ]Pº¸àï¸à »AD ;óÿàûÒ8nFíªÿà÷ ƒ(ÿà‡ì  OASES ðàÿà D ;óÿàh ÿààyŒÕiήá !+²D ªÄœÝ SAFARI-FIPR ÿà8!Χ¡5—îðàÿà× • OAST (OASES Transmission Loss Module) Fíªÿàhÿ ààyƒ'i¿]'•(¢ó펮0•(»Ai¿] 'iÎ>ۗí ðóŒÕiήFêÄ ªÄœÝ SAFARI-FIP ÿà8!. • OASR (OASES Reflection Coefficient Module).

(34) 2.3. OASES. 17. • RDOAST (OASES Range-dependent Transmission Loss Module). ûÒ8µFíªÿàhÿà OAST 8«¬;¨ Tà yi¿]'•(¢ó;Žiì•( • OASN (Noise, Covariance Matrices and Signal Replicas) hÿàà yÿaëîiWpC2¯p?“«¯Cn\ίGr X®ßèΝ.hhÿà×à¼ÿaipX?Œ“ «X®ß¯ÝFêÄ • OASS (OASES Scattering and Reverberation Module) ÷ ƒ( ÿàhÿà OAST ;ˆÌù‘â OASN ¿4 àyŒÕÞî®0•(”)×îÕ·&«ƒ(ΝºÕ” Œ0%%í OAST 8«h²hÿàô5 Ë5Y × ÷ àyŒÕ¿«Î®á Õ·&«X®ß÷ ú —× OASR ×R¸à¨× ƒ(àyŒÕ©®0 •(Νè 8nPT¿í÷ Ä6”) OAST ¸à OASES $b°ÿà»A OASP (2-D Wideband Transfer Functions)RDOASP (2-D Range-dependent Transfer Functions)OASP3D (3-D Wideband Transfer Functions)OASI (Environmental Inversion)OASM (Matched Field Processing Module)OASSP (2-D Waveguide Reverberation Realizations) ‡Tày&Ë©„•(ó§ŒÕîTà·« ´yh|³–káÞ;¢åZ¤ [18] E®]° E®î¼1©mµï OASES 1€ZXèº}Pµ íákÿaiì•(&4¢ó| *.dat lPDj»A. 2.3.3.

(35) 18. CHAPTER 2.. ÷ §¡óºÕÿP. ǝƕºÕ3h|tð¸àÝ OASR ÿà »íá }PA% 2.72.8 Xî ã%áOASES XmŠÝ¢óíá}P| sÝ]P 5 ¼3h»5 Ü s& sX‚ŒLAìX– •  s 1 íáŒB–PZC ŒgºÕú(T+ÛXí áZCÞyÿa¡Œ¨yWŒ%î •  s 2 'ǝ'k •ºÕC0%íá] P|zZCÒ x»A N ‚ŒÕ&ÿàkàTæ8n ÂA OASR D ªC ‚ŒÕ0%‡%A % 2.11Z ‚0%•(Î>%ÍõÞ1€¢åZ ¤ [18] •  s 3 iì•(¢ó3h|ޓ5·

(36) §Ý]Pÿa“ õ•(Ï×ÍóC‚k5·óêìוJ &· Χ¢ó㼋Ÿµ Œ·—Dæ®Î>–æ®Î >D殪–殪+²Û—Õ·&«]íqÂC 8n—µhv.íá&·¢ó •  s 4 £ãø㼋Ÿ°ÍóCµ £ãøì §î§ãøÍó£¦Í£¦ ŒÕ±¡ 0%`¶h âãŒ&£XŒÕŒÝ •  s 5 á ãø㼋Ÿ°ÍóCµ á ãø ì§î§ãøÍóá ¦á ¦L s 4 £¦8! •  s 6 0%%` x ΧPš°›óCu x  input.dat.

(37) 2.3. OASES. 19. % 2.7: OASR íá}P¢ó+Û.

(38) 20. CHAPTER 2.. ÷ §¡óºÕÿP. % 2.8: OASR íá}P¢ó+Û.

(39) 2.3. OASES. 21. —Jµ —¼\&Ÿ\&—2ýF â •  s 7 0%%` y ΧPš°›óCu y  £Jµ £¼\&Ÿ\&—2ýF â •  s 8 'D ª‡a%uy s 2 'b C  Ä6íáh s/ó‡a%mŠë•è×Í¢óã¼ ‹Ÿµ x Χ¼\&Ÿ\&—2ýF ây Χì\&î\&—2ýF ⇠aì§î§ â •  s 9 'Î>%uy s 2 'b Z Ä6íáh  s/óÂÎ>%%mŠË••âÍ¢ó㼋Ÿµ x Î>¼\&Ÿ\&—2ýF ây — ì\&î\&—2ýF â µ OASR ¢ó'}PX–µh}PíáDW input.dat&ÿ à(ÌÇ Í¼ƒ(Ì»Ak •D ªÿaJµì¼ƒí á > oasr input. ºÕ±¡ƕ켃0Œ”Œ% `a%) > cplot input (‡%) > mplot input (.

(40) 22. CHAPTER 2.. ÷ §¡óºÕÿP. Íõ&ÿà¢óíálî OASR }P!² Þ1€¢å [18] OASES. @jP» ãGZá OASES E®+«|•(¢ó%¢ó x¬ mŠÃÝÄ.hĜ3.@~îOASES ô6‰¥Š ‘3h-| Stoll and Kan [19] 1981 Oy JASA XsÝ¡Z| OASR XºÕÝ¿ùD ª% »1€ ´ÞXmŠ¢óíá¬DW input.datA% 2.9 Xî Í. 2.3.4. % 2.9: input.dat. ¢ó'Eï% 2.72.8 áÍLãháŒjnkŒÕD ª (N)‡a% (C)Î>5¾% (Z)‚0Œ%îÞºb Sand. Stoll and Kan 81. ‡1€ZCŒPޕ(5 Ë·&«—'  0ãø£ã 10 Hz - 100 kHzã 17 FNâ 4 F®ß× ù%.hb 10 Hz100 Hz1 kHz10 kHz100 kHz "ù% á  0 - 90 —5v 181 FŒÕX®ß% D ;ó.

(41) 2.3. OASES. 23. %D ª‡a%•(Î>%%8nù'% 2.102.112.12 Eï ŒP´ ©„ÝI Ï"•ã OASES ¸àW‰ [18]  á Dæ®–æ®Î>í Â`‚Œ·+² 9J+² (Porous Media)Ä6yìו‚î9J+²8n¢ó»A+²Ä Pÿó (bulk modulus)Jh (pore size factor) ‡¢ó.hÏ0 •- 9°¢óÞ1€¢å OASES ¸àW‰. % 2.10: OASR D ;ó%. X®ß%í ´ŽŽ×%Í0%XµAó Aí;D3 *.plt j»Aî»BÄ oasr ºÕÄ¡-ÿÕ input.plt .hÞ plt jVá MATLAB-0Œ´Þ[v]-fE% A% 2.13 Xî% 2.102.112.12 !8f´ OASES.

(42) 24. CHAPTER 2.. % 2.11: OASR D ‡a%. % 2.12: OASR •(Î>%. ÷ §¡óºÕÿP.

(43) 2.3. OASES. 25. % 2.13: OASR ”) MATLAB XÿWŒ%.

(44) 26. CHAPTER 2.. ÷ §¡óºÕÿP.

(45) Ïëa @“½Î.@™ - —ȓõ@™ b[ï£@“½ƒ(ΝÿP|¾WÎû[Ý£t§¡ ÁóºÕÿP˜ñ²)6 •@“½?@™§¡Ã CóºՔŒEï|@1§¡óºÕÿP•Pbey hÍ@~O/y!—ȓõ@™ •Ëgiί @™@™êÝ ãÿŒ

(46) ÝeÿiΣ]|C"Dy“c• (EyίFêÅ(@™ÎÙ2àɛùø¯5½|Š BPiìi¸± Bio-Probe ´iìi¸± ITC-6050C •‚| Bio-Probe X •@™yœOW8n£]í3͌ÏÞO ”n ×ÍO—”n ×Þ| ITC-6050C X •@™ x¬ Ĝ@™”Œ8!fE 3.1. @™2F.  .“õI.oۗȓ½{.) Ý²“FQf èº×Í@~) *y“&˓õ¨éÁ·•(¢ã 2¿-Í@~¡ÞèŒ5—ȓõ@™½6˜HxÎ 27.

(47) 28. CHAPTER 3.. @“½Î.@™ - —ȓõ@™. ¼ÞjE—Ȳ“ ½ •{ޗÝ2?9²ãøiìö Å•(¯?“‡é£][/‡¬ •ÁiìÎ.@™ ‘ÀήFêƒ(@™2ÎP²DՇ|-¡ŠŒ ½• (P²@M!© ½˜ñ“õ@™½Pš¬a¡ 8n† ˜H¸Œ ½W FQ@™‡.hÍ@~@“½Î ?Ëg@™2Fí|h*“½ x2C˜ÎAA% 3.1 X î. % 3.1: —Ȳ““õ@™. ãy2¿- .“IoÝ&Í@~Ž›Äœ3Œ½. •Ä9g!êÝݓõ@™.‚˜xÝ&9•(£]A! ;Ýp£]“92Ý£]T”·Ô5Ý5µ‡—ȓ ½iT”·Ô55½A% 3.23.3 Xî9°£]yÍ@~¡. •Ν5—îí ¥ŠÝ¢óÀ@~A!;ÝᗠŽ;!—ÝiÎ5µ‡íbÃy •óA5—ŠÕ.h μÇޘx—ȓõ@™ÞbÃyμ •@“½ƒ(Î.

(48) 3.2.. BIO-PROBE. T”·9¯@™. 29. 8n@™. % 3.2: —Ȳ“i%. % 3.3: —Ȳ““T”·Ô55µ% 3.2. Bio-probe. T”·9¯@™. Í@™Îã»ñ .“ì*@~Xš—-%º¼ñ. (University of Washington in Seattle) APL (Applied Physics Laboratory). £“õ.ê}ÿ (Dr. Dajun Tang) G¼¼0¬ÜÃ@™ 'ŒCÈ®Í@™xŠ|Áyi½ίFêC•(¯?.

(49) 30. CHAPTER 3.. @“½Î.@™ - —ȓõ@™. x@™X|—ȓ½ x¬¤gê}ÿ÷ñŠBPiìi¸ ± (Bio-Probe Receiver)A% 3.4 Xî| Bio-Probe ŠBPiìi ¸±® ¯#[Ð9yT”·[¯¬|@™®¼ùw“•rÍ –ñX®ß‡¼CS[XsŒή ÎÙxŠêÝ "D3 y“c?²•(ίFêµ@™ •Ý!`̀?† A?†Âፆ‡ùS@™`ݕ(¢ó|® ¡5—@ ~à@™X¸à݆ A 3.2. % 3.4: Bio-Probe Receiver  3.1: BioProbe 9¯@™† ¸à† (Ì Tà ŠBPiìi¸± Bio-Acoustic Probe iΣ]B ?† ( Depth Sounder ) EK500 @™ i? Âፆ ( CTD ) —á—Î>S Ï›Ù ( GPS ) ùwiW ›. @™ºÞŠBPiìi¸±|9Ý]Püy“î]Ë{.

(50) 3.2.. BIO-PROBE. T”·9¯@™. 31.

(51) ݛHîŒA% 3.5¬ýBŒF2ý O‚¡ã“•r| 2ý O æFyŒ@™i½º¿•kà“*aÝ]' 300 m ¼ ŸÝûÒŒ›F ABCD2ý›A% 3.6@™@µ Bio-Probe µwA% 3.8 Xî@™ùw͖Ýñ¯CÍ•` X®ß݇¼íºÅ(ίFê. ‡¼ãi9‹i«ºW‡¼ ‘®ßŒt[Tê.‡¼Í–D3Ý ¹ (Damping)¸ÿίP °Fê‹ Bio-Probe‚¿àh槝|5ï ùw3º•`Ý] 'Þ@™£]f´Gê}ÿy Florida †Äv«Ý@™|f´ [?]Bãh@™¡Š!•(©P¡Þ¼|3—Ȳ“˜ñ “õÎ.@™|-¡@~s". % 3.5:. Bio-Probe. 9îŒ%. Xÿ@™óAB0%` -Îú%C| FFT 0%` -£% Ì`%¡BEï ùX†Ý“B)¢å% 3.9*¡|µ ¯†f´¡s¨ÏµlÐ)3% 3.10 3V 870 JðÕ.

(52) 32. CHAPTER 3.. % 3.6:. Bio-Probe. @“½Î.@™ - —ȓõ@™. 9@™›îŒ%.

(53) 3.2.. BIO-PROBE. T”·9¯@™. % 3.7: @™£]0%‡a%. % 3.8: Bio-probe µw›H%. 33.

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(110) 64. CHAPTER 4.. “2ٌÿP˜ñ. ݙJG–Ý]°ÎÍb[Goff and Jordan | Sea Beam £ ]DՐ£HÿPÝ¢óB×)WÞÿPæ/è 2 %% 4.2 ÿPæ2à#?2f´ [5]Œ% |:ŒÿPæ2à#?2©Çè58 •î “92ÿP;•PÄÿP;͖¬&ÎxŠêÝt ¥ŠÝÛ3yBãÿP;¡¢ãÿPæ2Ä ²æ (extrapolation) ‹M—yÎ.† XŠ—ÝPš|²9E“õ Î.@~÷ ®ÞTΓõ2².@~\·¨éb#ÝQ Ã. % 4.2: ÿPæ2à#?2f´ [5]. tÝ Goff and Jordan XèŒÝH²̀ðà¼ÿaÕ·“ ÝHb{˜H (Gaussian Power Spectrum){˜HÇ|× ٌh°tð+Û^£Û—Ðó (probability density function, pdf) Oÿ8nÐó (Correlation function)ã8nÐó •mñf »ð-ÿ{˜Hã{˜H •Ë@;ÿa“Õ· «% 4.3 {˜HXÿaÕ·“ Pierson and Moskowitz y 1964 [14]O茨×Hà¼ÿ a“i«å±‚®ßÕ·“«Õ·“«Õ·“8!í CWÕ·«÷ Å(iήFL¨é.hô|hHÿ.

(111) 65. % 4.3: {˜HCÍXÿaÕ·“. a“«"DÍ3“õ•(ƒ(th²ù|hH ÿa“«±X®ß¯% 4.4 Pierson and Moskowitz HX ÿa“iÕ·«. % 4.4: Pierson and Moskowitz HXÿaÕ·“«. |î9Í®Þèº×Í×à#?2!ÝÃF¢ã ÎG˜ñ2ٌÿP ‚”)ŒÙŒÿPÞ¢ó;“Õ· «TàyÕ·«÷ ΝŒÕÿa-˜ñ&Ëv“Õ· «÷ Νï£ÿP •Îû[Ý£.

(112) 66. CHAPTER 4.. “2ٌÿP˜ñ.

(113) Ï"a Îû[Ý£ “Õ·«ÙŒÿP˜ñ¡Ý£ÍEyÎûXCWƒ( ùXñ¼ÝÅ(hn;˜ñ¡-¢ã÷ §¡ÿPŒÕ5G ƒfSingal-Reverberation Ration, SRR6¬Ý£ƒ([TÎ û[ Í@~2àz» innovative Technology Projects (iTP) 2¥Xs "ÎûIYÙ (Acoustic Systems Trainer-Sonar, AST-Sonar)Œ ٝy@™‡ •Îû[Ý£¢ãhÙÜÃ͌. • 5.1. AST-Sonar. Î.IYÙ. + Í@~yO/2× AST Î.IYٝTày@™‡ÿ aƒ(•(C •Îû[Ý£t&îêG2à9Ùݎ›b Y»“”.o (US Naval Academy Weapons Engineering)z»0. 5.1.1. 67.

(114) 68. CHAPTER 5.. Îû[Ý£. “”Ÿ

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