䈖䈉䈋䈇䊐䉤䊷䊤䊛╙ 㪈㪈 ภ㩷 㪆㩷㪉㪇㪇㪊㪅㪈㩷㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䉕↪䈇䈢Ṫ᷼ౝ䈱㕒Ⓩᐲ⸃ᨆTRANQUILITY SIMULATION FOR FISHING PORT APPLYING TIME-DEPENDENT MILDSLOPE EQUATION FOR RANDOM WAVES

ᄢ႐ᘮᄦ*䊶ᰞᐸ㓷᣿**䊶ኹ↰ବᦶ*Yoshio OHBA, Masaaki SAKURABA and Toshirou TERADAThis paper presents the application of a time-dependent, mild-slope equation for random
waves to tranquility simulation for fishing port analysis. This model is able to analyze almost
all wave deformation (shoaling, diffraction-refraction, reflection, breaking etc.) caused bymulti-directional random waves. It can be used to calculate the wave deformations
approximating real phenomena in ports and harbors with the complex shapes. As a practicalapplication, the method was applied to the development of a maintenance plan for the fishingport. The method is also useful for the basic investigation of coastal sediment transport.

 Key Words㧦 mild-slope equation, numerical simulation, random waves, wave deformation,
fishing port㪈㪅㩷㩷䈲䈛䉄䈮㩷Ṫ ᷼ 䈍䉋䈶᷼ḧ 䈱ᄖㇳ ᣉ⸳䈱⸘ ↹ 䉕ⴕ䈉਄ 䈪䇮᷼ౝ 䈱㕒Ⓩᐲ䉕ቯ㊂⊛䈮⏕⹺䈜䉎䈖䈫䈲㊀ⷐ䈪䈅䉍䇮᷼ౝ㕒Ⓩᐲ䉕⹏⢻ 䈪䈅䉎䇯䉁䈢䇮䈖䈱䊝䊂䊦䈲᷼ ౝ 㕒 Ⓩ ᐲ ⸃ ᨆ 䈱䉂䈭䉌䈝䇮ᶏጯ䈮䈍䈔䉎ṫ⍾․ᕈᛠី䈱䈢䉄䈱ၮ␆⺞ᩏ䈭䈬䈮䉅᦭ല䈭ᚻᴺ䈪䈅䉎䇯ଔ䈜䉎ᚻᴺ 䈫䈚䈩䈲䇮ᢙ୯ 䉲䊚䊠䊧䊷䉲䊢䊮䈮䉋䉎ᣇᴺ䈏৻ ⥸⊛䈮䈭䈦䈩䈐䈩䈇䉎䇯᷼ ౝ 㕒 Ⓩ ᐲ ⸃ᨆ 䈲䇮ᴒ 䈎䉌᧪ ⷅ 䈜䉎ᵄ ᶉ䈱ᵄ ᶉ ᄌ ᒻ 䋨ዮ㪉㪅㩷㩷㕒Ⓩᐲ⸃ᨆ䈱᭎ⷐ㩷䋨㪈䋩㩷 㕒Ⓩᐲ⸃ᨆ䊝䊂䊦᛬ 䇮࿁ ᛬ 䇮ᵻ᳓ ᄌ ᒻ 䇮෻ ኿ 䇮⎈ ᵄ ╬ 䋩䉕⸃ ᨆ 䈚䇮᷼ ౝ 䈱ᵄ 㜞ᵄ䈲ᵻᶏၞ䈮ㅴ౉䈜䉎䈫࿾ᒻ䋨᳓ᷓᄌൻ䋩䉇᭴ㅧ‛䈭䈬䈱ಽᏓ䉕⸘▚䈜䉎䉅䈱䈪䈅䉎䇯ㄭᐕ䈱ᶏጯ䈍䉋䈶᷼ḧᎿቇ䈱ಽᓇ㗀䉕ฃ䈔䈩ᄌᒻ䈜䉎䇯࿑䋭㪈 䈲ᵻᶏၞ䈮䈍䈔䉎ᵄᶉᄌᒻ䈱㊁䈪䈲䇮䈖䈱䉋䈉䈭ᵄᶉ⃻⽎䉕⊛⏕䈮⴫⃻䈜䉎䈖䈫䉕⋡⊛䈫䈚⻉ⷐ⚛䉕ᮨᑼ⊛䈮␜䈚䈢䉅䈱䈪䈅䉎䇯ᵄᶉᄌᒻ䈱⃻⽎䈫䈚䈩䈢ᵄ ᶉ ᄌ ᒻ 䊝䊂䊦䈱ฦ ⒳ ᬌ ⸛ 䈏ⴕ 䉒䉏䇮䉋䉍ታ ⃻ ⽎ 䈮ㄭ 䈇䈲䇮࿾ ᒻ ᄌ ൻ 䈮䉋䉎ᵻ ᳓ ᄌ ᒻ 䊶ዮ ᛬ 䊶⎈ ᵄ 䇮᭴ ㅧ ‛ 䈮䉋䉎෻⸃ᨆ䈏น⢻䈫䈭䈦䈩䈐䈩䈇䉎 1) 䇯኿䊶࿁᛬䊶ㅘㆊ䈏䈅䈕䉌䉏䉎䇯᷼ౝ㕒Ⓩᐲ⸃ᨆ䈲䇮䈖䉏䉌䈱ᵄ৻ᣇ䇮Ṫ ᷼⸘ ↹╷ቯ ᤨ 䈱㕒 Ⓩᐲ⸃ ᨆ䈪䈲䇮䈖䉏䉁䈪Ṫ᷼ᮡḰ㕒Ⓩᐲ⸃ᨆ䊒䊨䉫䊤䊛䋨㕖ቯᏱ✭൨㈩ᣇ⒟ᑼ䋩䉕⛔৻䈚ᶉᄌᒻ䉕⸃ᨆ䈚䇮᷼ౝ䈮䈍䈔䉎ᵄ㜞ಽᏓ䉕⸘▚䈜䉎䉅䈱䈪䈅䉎䇯䈩૶↪䈚䈩䈇䈢䈏䇮ᰴᦼ㐳ᦼ⸘↹╷ቯᤨ䈲ᵄ䈱ዮ᛬䇮࿁᛬䇮⃻ ࿷ ↪䈇䉌䉏䈩䈇䉎ᵄᶉ ᄌᒻ 䈱⸃ ᨆ 䊝䊂䊦䈱ઍ ⴫଀ 䈫䈠ᵻ᳓ᄌᒻ䇮෻኿䇮⎈ᵄ⃻⽎䈮ട䈋䈩ᵄ䈱ᄙᣇะਇⷙೣᕈ䉕䈱ㆡ↪▸࿐䉕⴫䋭㪈 䈮␜䈜 2) 䇯䈖䉏䉌䈱䈉䈤䇮㕒Ⓩᐲ⸃ᨆ䈮↪

⠨ᘦ䈚䈩⸘▚䉕ⴕ䈉䈖䈫䈏ᔅⷐ᧦ઙ䈫䈭䈦䈩䈇䉎䇯ᧄႎ๔䈪䈲䇮਄⸥䈱↪ઙ䉕ḩ䈢䈜ᵄᶉᄌᒻ䊝䊂䊦䈱৻䈧䈪䈅䉎㕖 ቯ Ᏹ ✭ ൨ ㈩ ਇ ⷙ ೣ ᵄ േ ᣇ ⒟ ᑼ 䉕Ṫ ᷼ 䈱㕒 Ⓩ ᐲ ⸃ᨆ䈮ㆡ↪䈚䈢଀䈮䈧䈇䈩ㅀ䈼䉎䇯㕖ቯᏱ✭൨㈩ਇⷙೣᵄേ
ᣇ⒟ᑼ䈲䇮ᓥ᧪䈱㕖ቯᏱ✭൨㈩ᣇ⒟ᑼ䈏ⷙೣᵄ䉕ኻ⽎䈫䈚䈢䉅䈱䈪䈅䉎䈱䈮ኻ䈚䇮ਇⷙೣᵄ䈱ᵄᶉᄌᒻ䉕ᚑಽᵄ䈮ಽ⸃䈞䈝䇮⋥ ធ ⸘ ▚ 䈜䉎䈖䈫䈏䈪䈐䉎䉋䈉䈮✭ ൨ ㈩ ᣇ ⒟ ᑼ 䈎䉌⺃ዉ䈘䉏䈢ᣇ⒟ᑼ䈪䈅䉍䇮ⶄ㔀䈭᷼ᒻ䉕᦭䈜䉎䉋䈉䈭Ṫ᷼䈍䉋䈶᷼ ḧ ᣉ ⸳ 䈮䈍䈇䈩䉅䇮䉋䉍ታ ⃻ ⽎ 䈮ㄭ 䈇ᵄ ᶉ ᄌ ᒻ ⸃ ᨆ 䈏น***㚂ㇺ࿤੐ᬺㇱ ੤ㅢㆇャㇱ㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘㵘࿑䋭㪈㩷 ᵻᶏၞ䈮䈍䈔䉎ᵄᶉᄌᒻ䈱⻉ⷐ⚛㩷㚂ㇺ࿤੐ᬺㇱ㵘⛔วᖱႎᛛⴚㇱ㪎㪌㩷㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼࠍ↪޿ߚṪ᷼ౝߩ㕒Ⓩᐲ⸃ᨆ! ⴫䋭㪈㩷 䊝䊂䊦ᣇ⒟ᑼ䈱ㆡ↪▸࿐䋨ᢥ₂ 㪉䋩䉕৻ㇱୃᱜ䋩䋨㪉䋩㩷 Ṫ᷼ౝ䈱㕒Ⓩᐲ⸃ᨆ!

䈲䇮ห৻ 䈱ዤᐲ 䈪቟ో ଥ ⦁ጯ ల ⿷₸ 䉕▚ቯ 䈜䉎䈢䉄䈮䇮ේᓥ ᧪ 䋨╙ 9 ᰴ Ṫ ᷼ ⸘ ↹ ╷ ቯ ᤨ 䋩䈱Ṫ ᷼ ౝ 䈱㕒 Ⓩ ᐲ ⸃ ᨆೣ䈫䈚䈩Ṫ᷼ᮡḰ㕒Ⓩᐲ⸃ᨆ䊒䊨䉫䊤䊛䉕⛔৻䈚䈩૶↪䈚䈩䈇䈢䇯䈭䈍䇮䈖䈱㕒 Ⓩᐲ ⸃ ᨆ䊝䊂䊦䈲㕖 ቯᏱ ✭ ൨㈩ ᣇ⒟ᑼ!

䈪䇮ⷙೣᵄ䋨න৻๟ᦼ䇮න৻ᣇะ䈱ᵄᶉ䋩䈱ᬌ⸛䈪䈅䈦䈢䇯䈚䈎䈚䈭䈏䉌䇮⃻ታ䈱ᵄᶉ䈲᭽䇱䈭ᣇะ䈎䉌䈱๟ᦼ䈏⍴䈇!

ᵄ 䈎䉌㐳 䈇ᵄ 䉁䈪౉ 䉍ᷙ 䈛䈦䈢ਇ ⷙ ೣ ᵄ 䈪䈅䉎䇯ᓥ ᧪ 䉁䈪䈲ਇⷙೣᵄ䉕න৻๟ᦼ䈱઒ᗐ⊛䈭ᵄᶉ䋨䈇䉒䉉䉎᦭⟵ᵄ䋩䈪ઍ⴫ 䈘䈞䈩䈇䈢䇯䈖䈱ᚻ ᴺ 䈲䈅䈒䉁䈪઒ ቯ 䈮ၮ䈨䈇䈢ᣇ ᴺ 䈪䈅!

䉍䇮‛ℂ⊛䈮ታ㓙䈱⁁ᴫ䉕෻ᤋ䈚䈩䈇䉎䈫䈲⸒䈇㔍䈇䇯એ਄䈱⁁ᴫ䈫ㄭᐕ䈱䉮䊮䊏䊠䊷䉺ᕈ⢻䈱ะ਄䈮઻䈦䈩䇮ਇⷙೣᵄ䉕䈠䈱䉁䉁ᛒ䈋䉎㕒Ⓩᐲ⸃ᨆᚻᴺ䈏᥉෸䈚䇮⃻࿷䋨ᰴ!

ᦼ㐳ᦼ⸘↹╷ቯᤨ䋩䈱Ṫ᷼ౝ䈱㕒Ⓩᐲ⸃ᨆ䈲䇮ᵄ䈱ዮ᛬䇮࿁ ᛬ 䇮ᵻ ᳓ ᄌ ᒻ 䇮෻ ኿ 䇮⎈ ᵄ ⃻ ⽎ 䈮ട 䈋䈩䇮ᵄ 䈱ᄙ ᣇ ะ ਇ!

ⷙೣᕈ䉕⠨ᘦ䈚䈩⸘▚䉕ⴕ䈉䈖䈫䈏ᔅⷐ᧦ઙ䈫䈭䈦䈩䈇䉎䇯એਅ䈮䇮᳓↥ၮ⋚ᢛ஻䈱ᰴᦼ㐳ᦼ⸘↹䈱╷ቯ䈮䈍䈔䉎ၮᧄ⊛䈭⠨䈋ᣇ䈱৻ㇱ䉕␜䈜䇯!

!

x䈇䉌䉏䉎ઍ⴫⊛䈭䊝䊂䊦䈫䈚䈩䈲䇮㜞ጊ䈱ᣇᴺ䇮㕖ቯᏱ✭൨䈩䈍䉍䇮⎈ᵄᏪ ౝ䈫䈭䉎䈖䈫䈏ᄙ䈇䈢䉄䇮⎈ ᵄ䈏↢䈛䉎㈩ᣇ⒟ᑼ䇮㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䈏䈅䉎䇯એਅ䈮น⢻ᕈ䈏䈅䉎ᵄᶉ䈪⸘▚䉕ⴕ䈉㓙䈲䇮⎈ᵄ⃻⽎䉕ข䉍!

䈖䉏䉌䈮䈧䈇䈩䈱᭎ⷐ䉕␜䈜䇯䈭䈍䇮੹࿁ㆡ↪䈚䈢㕖ቯᏱ✭
൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䈮䈧䈇䈩䈲ᰴ▵䈮⹦⚦䉕␜䈜䇯ᛒ䈉䈖䈫䇯x㩷㩷㪈㪀㩷 㜞ጊ䈱ᣇᴺ!

᳓ᷓ䈱ᄌൻ䈮䉋䉍ᵻ᳓ᄌᒻ䉇ዮ᛬䈏↢䈛䉎䈱䈪䇮䈖䉏䉌䉕ข䉍ᛒ䈉䈖䈫䇯㜞ጊ䈱ᣇᴺ 3) 䈲䇮ᚑಽⷙೣᵄ䈱⸘▚䉕ඨή㒢㒐ᵄႇ䈫ፉxႇ䈮䉋䉎࿁᛬ᵄ䈱㊀䈰ว䉒䈞䈫䈚䈩ㄭૃ⊛䈮⴫⃻䈚䇮ਇⷙೣ!

ᵄ䈮ኻ䈜䉎᷼ౝ䈱ᵄ㜞ಽᏓ䉕᳞䉄䉎ᣇᴺ䈪䈅䉎䇯䈖䈱ᣇᴺ䈲䇮᷼ౝ䈱᳓ᷓ䈏৻᭽䈪䇮⪺䈚䈇ᄙ㊀෻኿䈏⿠䈐!
㩷㩷㪉㪀㩷 㕖ቯᏱ✭൨㈩ᣇ⒟ᑼ
4),5) 䈲䇮ዮ᛬䈫࿁᛬䉕หᤨ䈮⸃ᨆ䈜!

䉎䈖䈫䈏䈪䈐䉎✭൨㈩ᣇ⒟ᑼ䈮ᤨ㑆㗄䉕ዉ౉䈚䇮㐿Ⴚ⇇᧦ઙ䉇⎈ᵄᷫ⴮䉕ข䉍ᛒ䈇䉇䈜䈒䈚䈢䉅䈱䈪䈅䉎䇯䈖䈱ᣇ⒟ᑼ䈲╙㒐ᵄႇ䉇‛឴႐䈫䈇䈦䈢᭴ㅧ‛䈮䉋䈦䈩䇮෻኿䉇࿁᛬䈏↢䈛䉎䈱䈪䇮䈖䉏䉌䉕ข䉍ᛒ䈉䈖䈫䇯x䈉䈰䉍ᕈ䈱ᵄᶉ䈭䈬䈪ᄙᣇะᕈ䈏ᭂ䉄䈩ዊ䈘䈒䇮䋱ᣇะ䈪䈱ข 䉍ᛒ 䈇䈪䉅ᡰ 㓚 䈏䈭䈇䈫್ ᢿ 䈪䈐䉎႐ ว 䉕㒰 䈇䈭䈇႐ว䈮ㆡ䈚䈩䈇䉎䇯㕖ቯᏱ✭൨㈩ᣇ⒟ᑼᄢᄙᢙ䈱Ṫ᷼䈲᳓ᷓ 5䌾6m એᵻ䈱᳓ᷓᏪ䈮┙࿾䈚䈩䈲䇮ᵄ䈱ᄙᣇะᕈ䈱ᓇ㗀䉕⠨ᘦ䈜䉎䈖䈫䇯xታᶏၞ䈱ᵄᶉ䈲ਇⷙೣ䈭ᵄ䈪䈅䉎䈢䉄䇮ਇⷙೣᵄ䈫䈚䈩ข䉍ᛒ䈉䈖䈫䇯వㅀ䈱ᵄᶉᄌᒻ䊝䊂䊦䋨⴫䋭㪈 ෳᾖ䋩䈱䈉䈤䇮䈖䉏䉌䈱↪ઙ䉕ḩ䈢䈜䊝䊂䊦䈫䈚䈩䈲䇮

9 ᰴṪ᷼⸘↹╷ቯᤨ䈮䈍䈔䉎㕒Ⓩᐲ⸃ᨆ䈱ᮡḰ䊒䊨䉫䊤䊛䈫㽲㩷 ᓥ᧪䈱✭൨㈩ ᣇ⒟ᑼ䋨䋱ᣇะ ⷙೣᵄ䋩䈱⸘ ▚⚿ᨐ䉕䈚䈩↪䈇䉌䉏䈩䈇䈢ᚻᴺ䈪䈅䉍䇮ⷙೣᵄ䈮ኻ䈜䉎䈾䈫䉖䈬䈱ᵄ

ᚑಽᵄ㊀䈰ว䉒䈞ᴺ䈮䉋䉍䇮ᄙᣇะਇⷙೣᵄ䉕ౣ⃻ᶉᄌᒻ䉕⠨ᘦ䈜䉎䈖䈫䈏䈪䈐䉎䇯䈭䈍䇮ਇⷙೣᵄ䈮ኻ䈚䈩䈲䇮䈜䉎ᣇᴺ䇯ᚑಽⷙೣᵄ䈱⸘▚䉕㊀䈰ว䉒䈞䉎䈖䈫䈮䉋䉍⸘▚䈏น⢻䈪䈅㽳㩷 ᄙᣇะਇⷙೣᵄ䈱ᵄᒻ䉕⋥ធㅧᵄႺ⇇䈪ਈ䈋䈩䇮䈖䉎 6) 䇯䈱ᵄ ᒻ 䈱વ ᠞ 䊶ᄌ ᒻ ㆊ ⒟ 䉕ᤨ ♽ ೉ ⊛ 䈮⸘ ▚ 䈜䉎ᣇ㩷㩷㪊㪀㩷 㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ

ᴺ䇯㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ 7) 䈲✭൨㈩ᣇ⒟ᑼ䈱ਇ䈏䈅䉎䇯ⷙೣᵄ䈻䈱᜛ᒛ䈮䈍䈔䉎⸘▚ᤨ㑆䈱໧㗴䉇⎈ᵄ䊝䊂䊦䈱⚵㽲䈱ᚑಽᵄ ㊀ 䈰ว䉒䈞ᴺ 䈫䈲䇮ਇⷙೣᵄ 䉕ᣇะ೎䇮๟ ᦼ䉂ㄟ䉂䈱໧㗴䉕⸃᳿䈜䉎䈢䉄䈮ዉ䈎䉏䈢䊝䊂䊦䈪䈅䉍䇮ᵻ᳓೎䇮ᵄ㜞೎䈱ᚑಽᵄ䈮ಽ䈔䇮ᚑಽᵄᲤ䈮ᓥ᧪䈱ⷙೣᵄ䈱⸘ᄌᒻ䇮ዮ᛬䇮࿁᛬䇮෻኿䇮⎈ᵄ╬䇮ᵄᶉᄌᒻ䈱䈾䈫䉖䈬䈱⃻▚䉕䈚䈩䇮䉣䊈䊦䉩䊷⊛䈮㊀䈰ว䉒䈞䉎䈖䈫䈮䉋䉍䇮ᄙᣇะਇ⽎䉕ౣ⃻䈜䉎䈖䈫䈏䈪䈐䉎⸃ᨆ䊝䊂䊦䈪䈅䉎䇯⹦⚦䈮䈧䈇䈩䈲ⷙೣᵄ䉕ౣ⃻䈜䉎ᣇᴺ䈪䈅䉎䇯㽳䈱ᣇᴺ䈫䈚䈩䈲䇮㕖ቯᏱ✭ᰴ▵䈮␜䈜䇯㪎㪍㩷൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䉇 Boussinesq ᣇ⒟ᑼ䈏䈅䉎䇯䈖䈉䈋䈇䊐䉤䊷䊤䊛╙ 㪈㪈 ภ㩷 㪆㩷㪉㪇㪇㪊㪅㪈㩷ᧄႎ๔䈪䈲䇮㽳䈱ᣇᴺ䈱䈉䈤㕒Ⓩᐲ⸃ᨆ䈱䉋䈉䈭⍴๟ᦼᵄb0  b1Z m'  b2Z m'2

k m2 |䈮ኻ 䈜䉎ㆡ ↪ ଀ 䈏ᄙ 䈇㕖ቯᏱ ✭ ൨㈩ ਇⷙ ೣᵄ േᣇ ⒟ᑼ䉕(5)1  a1Z m'

Ṫ᷼ౝ䈱㕒Ⓩᐲ⸃ᨆ䈮ㆡ↪䈚䈢䇯Z m'㪊㪅㩷㩷㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ㩷(6)Zm Zm䈖䈖䈮䇮 Z 䋺ᚑಽᵄ䈱ⷺ๟ᵄᢙ䇮 Z 䋺ઍ⴫ⷺ๟ᵄᢙ䈪䈅䉎䇯䋨㪈䋩㩷 ᭎ⷐ㕖ቯ Ᏹ✭൨㈩ ਇⷙೣᵄ േᣇ⒟ᑼ 䈲䇮ਇⷙೣᵄ 䈱ᵄᶉᄌᒻ 䉕ᚑ ಽ ᵄ 䈮ಽ ⸃ 䈞䈝䇮⋥ ធ ⸘ ▚ 䈜䉎䈖䈫䈏䈪䈐䉎䉋䈉䈮✭䈖䉏䉌䉕(2)䇮(3)ᑼ 䈮ઍ ౉ 䈚䇮๟ ᦼ 㑐ᢙ 䈎䉌䈱ᄌ ಽ (7)䉕ᄌᢙ䈫䈜䉎䇯~I

൨㈩ᣇ⒟ᑼ䈎䉌⺃ዉ䈘䉏䈢ᣇ⒟ᑼ䈪䈅䉎䇯ᓥ᧪䈱✭൨㈩ᣇ⒟ᑼ䈮䈲ᓸዊᝄ᏷ᵄ䈮䈍䈔䉎๟ᦼ䈫᳓ᷓ䈱㑐ଥ䈪䈅䉎ᵄㅦ䊶⟲ㅦᐲ䈏฽䉁䉏䉎䈢䉄䇮ᚑಽᵄ䈮ಽ⸃䈚䈩⸘▚䈞䈙䉎䉕ᓧ䈭䈇䈱䈪䇮ਇⷙೣᵄ䉕ᤨ♽೉⊛䈮ข䉍ᛒ䈉䈖䈫䈏䈪䈐䈭䈎䈦䈢䇯㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䈲䇮ᵄⷙೣᵄേᣇ⒟ᑼ䈏ዉ䈎䉏䉎䇯
~~~w 2IwI d2
K~ d 0I  id 1
wt
wt 2~
w 2I(8)~§ w 3I~
w 3I ·¸
¨
ia


1¨2
2
¸wx
wy 2
© wx wt wy wt ¹~~~wI
w 2I
‫ޓޓ‬
 b0  ic 0 I  i b1  ic1 b2 2wtwt೉ᵄᒻ䉕ᛒ䈉䈖䈫䉕น⢻䈮䈚䈢䉅䈱䈪䈅䉎䇯
2䈖䈱ㄭૃଥᢙ 䈏৻ᰴ 䈱႐ว䇮ㆡ↪䈪䈐䉎ਇⷙ ೣᵄ䈱๟ᵄᢙ▸࿐䈏ㄭૃ䈱ਛᔃ䈫䈭䉎ઍ⴫๟ᵄᢙㄭற䈱⁜䈇▸࿐䈮㒢䉌䉏䉎䈢䉄䇮ᄌᢙ䈍䉋䈶ㄭૃଥᢙ䈱ข䉍ᛒ䈇䈮䈧䈇䈩䈱⎇ⓥ~
w 2I(9)0䈖䈖䈮䇮䈇▸࿐䈱๟ᵄᢙ䈱ᵄ䉕ౣ⃻䈜䉎䈖䈫䉕น⢻䈫䈚䈢⍹੗䉌䈱䊝䊂䊦 8) 䉕↪䈇䈢䇯c0

k 2 fDc1§ 2b2 ·¨¸¨ b ¸ c0
© 1 ¹䋨㪉䋩㩷 㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䈱⺃ዉ
Berkhoff 䈮䉋䉎✭ ൨ ㈩ ᣇ ⒟ ᑼ 䈲(1)ᑼ 䈮␜ 䈜䈫䈍䉍䈪䈅(7)'એ ਄ 䉋䉍䇮ᦨ ⚳ ⊛ 䈮↪ 䈇䉎᦭ ℂ ᑼ ㄭ ૃ 䈮ၮ 䈨䈒✭ ൨ ㈩ ਇㅦ䊶⟲ㅦᐲ䉕ㄭૃᑼ䈪⴫䈜䈖䈫䈮䉋䉍䇮⋥ធਇⷙೣᵄ䈱ᤨ♽䈏䈭䈘䉏䈩䈐䈢䇯ᧄႎ๔䈪䈲䇮ㄭૃଥᢙ䈱♖ᐲ䉕㜞䉄䇮䉋䉍ᐢ~I e iZ mt(10)䈪䈅䉎䇯䉎䇯 ccg Kˆ  k 2 (1  if D )ccgKˆ0(1)䈖䈖䈮䇮 c 䋺ᵄㅦ䇮 c g 䋺⟲ㅦᐲ䇮 k 䋺ᵄᢙ䇮 K̂ 䇮䋺ⶄ⚛᳓㕙ᄌേ䈪䈅䉎䇯(1) ᑼ 䈮 (2) ᑼ 䈱 Radder ᄌ ឵ ᑼ 䉕 ㆡ ↪ 䈚 䇮 (3) ᑼ 䈱䋨㪊䋩㩷 Ⴚ⇇᧦ઙ౉኿Ⴚ⇇᧦ઙ䈲Ⴚ⇇✢౉኿ᴺ 9) 䉕↪䈇䉎䇯Ⴚ⇇✢౉኿ᴺ䈫䈲䇮࿑䋭㪉 䈮␜䈜䉋䈉䈮䇮⸘▚㗔ၞౝ䈮౉኿૏⟎䈫䈜䉎Ⴚ⇇✢䉕⸳ቯ䈚䇮䈠䈱ౝ஥䈪䈲౉኿ᵄ䈫᡼಴ᵄ䈱౒ሽ႐䇮ᄖ஥䈪Helmholz ဳᣇ⒟ᑼ䈻ᄌ឵䈜䉎䇯䈭䈍䇮䈖䈖䈪䈲⎈ᵄ 䈮䉋䉎䈲᡼಴ᵄ䈱䉂䈫䈭䉎䉋䈉䈮䇮ᢙ୯⸘▚ᤨ䈮䇮Ⴚ⇇䉕᜽䉃⸘▚ᩰ ሶ ὐ 䉕ਛ ᔃ䈫䈜䉎Ꮕ ಽ ᑼ 䈮౉ ኿ ᵄ 㗄 K~ 䉕ട 䈋䈢䉍䇮Ꮕ 䈚䉣䊈䊦䉩䊷ᷫ⴮䉕⠨ᘦ䈚䈩䈇䉎䇯ᒁ䈇䈢䉍䈜䉎ᠲ૞䉕ⴕ䈇䇮౉኿ᵄ㗄䉕Ꮕಽᑼਛ䈮ዉ౉䈚䇮౉

1Kˆ(ccg )mIˆm(2)in኿䉕ⴕ䈉ᣇᴺ䈪䈅䉎䇯䉁䈢䇮㐿 Ⴚ ⇇ ᧦ ઙ 䈲⸃ ᨆ 䈱ኻ ⽎ 䈫䈜䉎㗔 ၞ 䈱ᄖ ஥ 䈮䉣䊈䊦䉩䊷ๆ෼Ꮺ䉕⸳䈔䇮ᵄᶉ䉣䊈䊦䉩䊷䉕ᷫ⴮䈘䈞䇮䉣䊈䊦䉩 2Iˆm  k m2 (1  if D )Iˆm0(3)䈖䈖䈮䇮 Iˆm㧦Kˆ 䈱 Radder ᄌ឵ᓟ䈱ଥᢙ䇮 f D 䋺⎈ᵄ䈮䉋䉎䉣䊈䊦䉩䊷ᷫ⴮ଥᢙ䇮ᷝሼ m 䈲ᚑಽᵄ䉕⴫䈜䇯(2)䇮(3)ᑼ䈮฽䉁䉏䉎ଥᢙ䈲䇮ⷺ๟ᵄᢙ䈮䉋䉍ᄌൻ䈜䉎䈢䉄⋥ធ Iˆ 䉕᳞䉄䉎䈖䈫䈏䈪䈐䈭䈇䇯䈠䈖䈪䇮એਅ䈮␜䈜䉋䈉䈮䇮ⷺ䊷ๆ෼Ꮺ䈱ᄖ஥┵䈪䈲ቢో෻኿Ⴚ⇇᧦ઙ䈫䈚䈢䇯౉኿ᵄ䈱๟ᵄᢙ䉴䊕䉪䊃䊦䈮䈲(11)ᑼ䈮␜䈜䇸ว↰ୃᱜ
Bretschneider䋭శᤃဳ䇹䉕↪䈇䉎䇯S( f )
䈖䈖䈮䇮 aaH 1 / 3 2T1 / 3 4 f 5 exp(bT1 / 3 4 f 4 )0.205, b(11)0.75 䈪䈅䉎䇯䉁䈢䇮䉴䊕䉪䊃䊦䈱ಽഀ䈮๟ᵄᢙ䈮䉋䉌䈭䈇ଥᢙ䉕↪䈇䈩䇮 1 / (cc g ) m ‫ޓ‬㧘k m2 䉕 2 ᰴ䈲䉣䊈䊦䉩䊷ಽഀᴺ䉕↪ 䈇䉎䇯๟ᵄᢙ䉴䊕䉪䊃䊦䈱ో䉣䊈䊦ᑼ䈍䉋䈶᦭ℂᑼ䈪ㄭૃ䈜䉎䇯䉩 䊷 m0 䉕 M ୘ 䈱 ᚑ ಽ ᵄ 䈮 ಽ 䈔 䉎 䈫 䈐 䇮 ฦ ᚑ ಽ ᵄ 䈱 ᝄ ᏷1(ccg ) m| d 0  d1Z m  d 2Z m2(4)

Ak (k1,2,  , M ) 䈲䇮(12)ᑼ䈱䈫䈍䉍䈪䈅䉎䇯

Ak2 m0MaH1/ 3
2bM(12)㪎㪎㩷㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼࠍ↪޿ߚṪ᷼ౝߩ㕒Ⓩᐲ⸃ᨆጯ஥㪋㪅㩷㩷ㆡ↪଀㩷ಠ଀ᵄߩ౉኿✢ࠛࡀ࡞ࠡ࡯ๆ෼Ꮺ᭴ㅧ‛

౉኿ᵄ
෻኿

஥ᣇ

஥ᣇ

᡼಴ᵄ

㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䈱ㆡ↪ౕ૕଀䈫䈚䈩䇮Ṫ
᷼䈱㕒Ⓩᐲ⸃ᨆ䈱ᬌ⸛ౝኈ䉕␜䈜䇯ᬌ⸛ౝኈ䈲䇮ᰴᦼ䋨╙ 10 ᰴ䋩Ṫ᷼ᢛ஻⸘↹䈱╷ቯ䈮䈅䈢䉍䇮੹ᓟ䈱Ṫ ᷼ ᣉ⸳䈭䈬䈱ᢛ ஻䈮䈧䈇䈩ኻ ⽎Ṫ᷼䈱⃻ ⁁ ᷼ᒻ 䈍䉋䈶Ṫ ᷼ᢛ ஻ ⸘ ↹ 䈱ឭ᩺ ᷼ ᒻ 䈱᷼ ౝ㕒 Ⓩ ᐲ ⸃ ᨆ 䉕ⴕ᡼಴ᵄߩߺ䈇䇮ᚲⷐ䈱㕒Ⓩᐲ䉕ḩ⿷䈜䉎䉋䈉䈭ᦨㆡ䈭᷼ᒻ䋨ᦨ⚳᷼ᒻ䋩䉕ᴒ஥࿑䋭㪉㩷 Ⴚ⇇✢౉኿ᴺ䈱᭎ᔨ࿑䋨㪋䋩㩷 ၮ␆ᣇ⒟ᑼ䈱㔌ᢔൻ᳿ቯ䈚䈢䉅䈱䈪䈅䉎䇯࿑䋭㪋 䈮ኻ⽎Ṫ᷼䈱ᰴᦼ⸘↹᷼ᒻ䈍䉋䈶࿾ᒻ᧦ઙ䉕␜䈜䇯䈭䈍䇮࿑䋭㪋 ਛ䈱ᢳ✢䈲ᰴᦼᢛ஻⸘↹䈪䈅䉎䇯(9)ᑼ 䈱㔌 ᢔ ቯ ᑼ ൻ 䈮䈲䇮㜞 ㅦ 䈮䇮቟ ቯ 䉋䈒䇮䈚䈎䉅䈅䉎⒟ᐲ 䈱 ♖ ᐲ 䉕 ⏕ ଻ 䈚 䈩 ⸃ 䈒 䈢 䉄 䈮 䇮 ADI ᴺ (Alternating㩷Direction㩷 Implicit㩷 method)䉕↪䈇䉎 8) 䇯ADI ᴺ䈲䇮x 䉁䈢䈲 y ᣇะ䈱৻⋥✢਄䈱ᩰሶὐ䈱୯䈮䈧䈇䈩ㅪ┙ᣇ⒟ᑼ䉕⸃䈐䇮ฦᤨೞ䉴䊁䉾䊒䈗䈫䈮੤੕䈮 x䇮y 䈱ᣇะ䉕ᄌ䈋䈩⸘▚䉕ⴕ䈉䉅䈱䈪䈅䉎䇯䋨㪌䋩㩷 ⸘▚ᚻ㗅࿑䋭㪊 䈮㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䈮䉋䉎㕒Ⓩᐲ⸃ᨆ䈱⸘▚䊐䊨䊷䉕␜䈜䇯㪪㪫㪘㪩㪫࿾ᒻ᧦ઙ䋬ᵄᶉ᧦ઙ䋬࿾ᒻ᧦ઙ䋬ᵄᶉ᧦ઙ䋬⸘▚᧦ઙ䈱౉ജ⸘▚᧦ઙ䈱౉ജ᦭ℂᑼㄭૃ䈱ଥᢙ䈱▚ቯ᦭ℂᑼㄭૃ䈱ଥᢙ䈱▚ቯ࿑䋭㪋㩷 ኻ⽎Ṫ᷼䈱ᰴᦼ⸘↹᷼ᒻᄙᣇะਇⷙೣᵄ䈱ㅧᵄᄙᣇะਇⷙೣᵄ䈱ㅧᵄ䋨㪈䋩㩷 ᬌ⸛᧦ઙಽᢔ㑐ଥᑼ䈮䉋䉎ᵄ䈱⻉㊂䈱⸘▚ಽᢔ㑐ଥᑼ䈮䉋䉎ᵄ䈱⻉㊂䈱⸘▚䋨ᵄᢙ䋬ᵄㅦ㪼㫋㪺䋩䋨ᵄᢙ䋬ᵄㅦ㪼㫋㪺䋩㩷㩷㪈㪀㩷 ࿾ᒻ᧦ઙኻ⽎Ṫ᷼䈱ᢛ஻⸘↹ᐔ㕙࿑䉋䉍࿾ᒻ᧦ઙ䈍䉋䈶᷼ᒻ䊂䊷෻኿Ⴚ⇇䈱⸳ቯ෻኿Ⴚ⇇䈱⸳ቯ䉺䉕⺒䉂䈫䉍䊜䉾䉲䊠䊂䊷䉺䈱૞ᚑ䉕ⴕ䈦䈢䇯䊜䉾䉲䊠㑆㓒䈲⸘䉣䊈䊦䉩䊷ᷫ⴮Ꮺ䈱ᷫ⴮ଥᢙ䈱⸘▚䉣䊈䊦䉩䊷ᷫ⴮Ꮺ䈱ᷫ⴮ଥᢙ䈱⸘▚㪫㫀㫄㪼㩷㪣㫆㫆㫇▚ኻ⽎ᵄᶉ䉕ౣ⃻䈪䈐䉎䉋䈉䈮 1m䋨ኻ⽎ᵄᶉ䈱ᵄ㐳䈱 1/5䌾
1/15 ⒟ᐲ䋩䈫䈚䈢䇯⸘▚䈮↪䈇䈢⸃ᨆ䊜䉾䉲䊠࿑䋨ᰴᦼ⸘↹᷼ᒻ䋩䉕࿑䋭㪌 䈮␜䈜䇯䈭䈍䇮⸘▚ᩰሶ䈲䉣䊈䊦䉩䊷ๆ෼Ꮺ䉕㪯䋭ᣇะ㪰䋭ᣇะ

Ꮕಽᣇ⒟ᑼ䈱⸘▚

Ꮕಽᣇ⒟ᑼ䈱⸘▚᳓૏䈍䉋䈶ᵄ㜞䈱⸘▚᳓૏䈍䉋䈶ᵄ㜞䈱⸘▚฽䉄 x䇮y ᣇะ䈠䉏䈡䉏 450㬍500 ಽഀ䈫䈚䈩䈇䉎䇯㩷㩷㪉㪀㩷 ᵄᶉ᧦ઙኻ⽎ᵄᶉ䈫䈚䈩䈲䇮㽲ᐔᤨ ᵄᶉ䋨಴Ṫ㒢 ⇇ᵄᶉ䋩䇮㽳᥸㘑ᤨᵄᶉ䋨䋱ᐕ⏕₸ᵄᶉ䋩䉕↪䈇䈢䇯ኻ⽎Ṫ᷼䈪䈱ᵄᶉ䈲ḧౝᵄ䈪䈅䉎䈢䉄䇮㘑ㅦ䈲䇮ᐔᤨᵄᶉ䈮䈧䈇䈩䈲Ṫ᷼೑↪⠪䈱䊍䉝䊥䊮䉫╬ 䈮䉋䉍䇮᥸ 㘑 ᤨ ᵄ ᶉ 䈮䈧䈇䈩䈲ᣢ ሽ ⾗ ᢱ 䇸ᄥ ᐔ ᵗ⎈ᵄᷫ⴮ଥᢙ䈱⸘▚⎈ᵄᷫ⴮ଥᢙ䈱⸘▚⸘▚⚿ᨐ䈱಴ജ⸘▚⚿ᨐ䈱಴ജ䋨᳓૏䋬ᵄ㜞䋬ᵄะ䋩䋨᳓૏䋬ᵄ㜞䋬ᵄะ䋩ਛർㇱᶏၞ䋨ችၔ䇮⑔ፉ䇮⨙ၔ䋩ᴒᵄផ▚⺞ᩏႎ๔ᦠ䇹䈱⏕₸㘑ㅦ▚ቯ࿑䉋䉍⸳ቯ䈚䈢䇯䈖䉏䉌䈱㘑ㅦ䈎䉌 SMB ᴺ䈮䉋䉍ኻ ⽎ Ṫ ᷼ 䈱ᴒ ᵄ 䉕ផ ▚ 䈚䈢䇯એ ਄ 䉋䉍⸳ ቯ 䈚䈢ᴒ ᵄ ⻉ ర 䈎䉌䇮᷼ౝ㕒Ⓩᐲ䈱ኻ⽎ᵄᶉ䋨឵▚ᴒᵄ䋩䉕▚ቯ䈚䈢⚿ᨐ䉕⴫䋭㪉 䈮␜䈜䇯

㪜㪥㪛࿑䋭㪊㩷 ⸘▚䊐䊨䊷࿑㪎㪏㩷䈖䈉䈋䈇䊐䉤䊷䊤䊛╙ 㪈㪈 ภ㩷 㪆㩷㪉㪇㪇㪊㪅㪈㩷⴫䋭㪋㩷 ೑↪㒢⇇ᵄ㜞ᣉ⸳ߩ೑↪⋡⊛ኻ⽎ᵄᶉᣉ⸳ߩ᳓ᷓ೑↪㒢⇇ᵄ㜞಴Ṫ㒢⇇ᵄᶉ
㧔ᐔᤨ㧕

㧙3.0m ᧂḩ㒽឴࡮Ḱ஻

0.30m

㧙3.0m એ਄0.40m

㧙3.0m ᧂḩ0.40m

㧙3.0m એ਄0.50m

1 ᐕ⏕₸ᵄᶉ
㧔᥸㘑ᤨ㧕ભߌ޿䋨㪉䋩㩷 ⸃ᨆ⚿ᨐ⸃ᨆ⚿ ᨐ 䈫䈚䈩䇮⃻ ⁁ 䈱᷼ ᒻ䈮ኻ䈜䉎ᐔ ᤨᵄᶉ 䈱⸘▚ ⚿ᨐ䉕࿑䋭㪍 䈮䇮ᰴᦼ⸘↹᷼ᒻ䈮ኻ䈜䉎᥸㘑ᤨᵄᶉ䈱⸘▚⚿ᨐ䉕࿑䋭㪎 䈮␜䈜䇯⸃ ᨆ ⚿ ᨐ 䈮⷗ 䉌 䉏 䉎䉋 䈉 䈮䇮᧪ ⷅ ᵄ 䈮䉋 䉎㒐 ᵄ ႇ 䈪䈱෻࿑䋭㪌㩷 ⸃ᨆ䊜䉾䉲䊠࿑䋨ᰴᦼ⸘↹᷼ᒻ䋩኿䇮࿁᛬䇮᷼ౝ䈪䈱ᵻ᳓ᄌᒻ䇮⎈ᵄ䈮䉋䉎ᵄ㜞䈱ᷫዋ䈭䈬䈱⴫䋭㪉㩷 ᵄᶉ᧦ઙᵄᶉᄌᒻ⃻⽎䈏ౣ⃻䈘䉏䈩䈍䉍䇮ᒰ䊝䊂䊦䈏䈾䈫䉖䈬䈱ᵄᶉ⃻ ⽎ 䉕⹦ ⚦ 䈮⴫ ⃻ 䈪䈐䉎䈖䈫䈏䉒䈎䉎䇯䉁䈢䇮න ৻ ᣇ ะ ⷙ ೣ⃻⁁᷼ᒻᰴᦼ⸘↹᷼ᒻ

ᵄ䈪䈱㕒Ⓩᐲ⸃ᨆ䈪䈲䇮౉኿ᵄ䈫෻኿ᵄ䈱㊀䈭䉍䈮䉋䉎ᵄ㜞ᐔᤨ᥸㘑ᤨᐔᤨ᥸㘑ᤨ୯ 䈱਄ ਅ 䋨ᵄ 䈱ጊ 䈫⼱ 䈱ᓇ 㗀 䋩䈏䉂䉌䉏䉎䈏䇮ᒰ 䊝䊂䊦䈱⸘

ᵄ㜞(m)

0.3

0.5

0.50.9▚ ⚿ ᨐ 䈪䈲䇮ᵄ 㜞 ୯ 䈏ో ૕ ⊛ 䈮ᐔ ဋ ൻ 䈘䉏䈩䈍䉍䇮ᄙ ᣇ ะ๟ᦼ(sec)

1.6

2.0

2.5

3.0ᵄะ

N45q

N45q

N112.5qN112.5q䈱ᵄ㜞䈏㒢⇇ᵄ㜞 0.3m 䉕⿥ㆊ䈚䇮ᚲⷐ䈱㕒Ⓩᐲ䈏⏕଻䈘

SMAX

10101010䉏䈩䈇䈭䈇⚿ ᨐ 䈫䈭䈦䈢䇯䉁䈢䇮ᰴ ᦼ ⸘ ↹ ᷼ ᒻ 䋨᷼ ญ ᴒ 䈮ᑧਇⷙೣᵄ䈱ᓇ㗀䈏⴫䉏䈩䈇䉎䈱䈏䉒䈎䉎䇯⃻ᴫ䈱᷼ᒻ䈪䈲ᐔᤨ䈱᧦ઙ䈪ኻ⽎ᣉ⸳䋨㒽឴ 83m䋩೨㕙㐳 80m 䈍䉋䈶᷼᧲஥䈮ᑧ㐳 120m 䈱㒐ᵄႇᢛ஻䋩䈪䉅䇮᥸㘑ᤨ䈱᧦ઙ䈪ኻ⽎ᣉ⸳䋨ભᙑ 90m䋩೨㕙䈱ᵄ㜞䈏㒢⇇ᵄ㜞㩷㩷㪊㪀㩷 ෻኿₸᧦ઙ᭴ㅧ‛䈮䉋䉎ᵄ䈱෻኿₸䈲䇸Ṫ᷼䈱ᛛⴚᜰ㊎㩷 1999 ᐕ␠࿅ᴺੱ㩷 ో࿖Ṫ᷼දળ䇹䈱୯䉕ෳ⠨䈮䇮⴫䋭㪊 䈱䉋䈉䈮⸳㩷

0.4m 䉕⿥ㆊ䈚䇮ᚲⷐ䈱㕒Ⓩᐲ䈏⏕଻䈘䉏䈩䈭䈇⚿ᨐ䈫䈭䈦䈢䇯䈠䈖䈪䇮ᴒ䈱㒐ᵄႇ䈱⷏஥䉕 10m ᑧિ䈚䈩ౣᐲᬌ⸛䉕ቯ䈚䈢䇯⴫䋭㪊㩷 ෻኿₸᧦ઙ᭴ ㅧ ᭽ ᑼ240

෻኿₸

220
0.5200⋥┙ო

0.9⇣ᒻᶖᵄ㩖㩨㩥㨹㩂ᢳ㕙

0.4160⋥┙ᶖᵄ᭴ㅧ‛0.5140⦁឴႐

0.2120ጤ␂ၞ㧔߈ࠅߚߞߡ޿ࠆ㧕

0.6㒽឴

O1800.40.30.2100

0.1

80060

㩷㩷㪋㪀㩷 ೑↪㒢⇇ᵄ㜞50ଥ ⇐ ᣉ ⸳ 䊶᳓ ၞ ᣉ ⸳ 䈱೑ ↪ 㒢 ⇇ ᵄ 㜞 䈮䈧䈇䈩䈲䇮䇸Ṫ ᷼⸘↹䈱ᚻᒁ䈐䋻ᐔᚑ 4 ᐕᐲᡷ⸓㩷 ␠࿅ᴺੱ㩷 ో࿖Ṫ᷼දળ䇹䈮ၮ䈨䈐䇮⴫䋭㪋 䈱䉋䈉䈮⸳ቯ䈚䈢䇯

100

150

200

250300

NEH=0.3m, T=1.6secಠ଀㒢⇇ᵄ㜞㧔0.3m㧕

⚿ᨐ
N.G.

࿑䋭㪍㩷 ᵄ㜞ಽᏓ⸘▚⚿ᨐ䋨⃻ᴫ᷼ᒻ䇮ᐔᤨᵄᶉ䋩㪎㪐㩷㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼࠍ↪޿ߚṪ᷼ౝߩ㕒Ⓩᐲ⸃ᨆ㪌㪅㩷㩷䈍䉒䉍䈮㩷

450ᄙᣇะਇⷙೣᵄ䈮ኻ䈜䉎ฦ䇱䈱ᵄᶉᄌᒻ⃻⽎䋨ዮ᛬䇮࿁
400᛬䇮ᵻ᳓ᄌᒻ䇮෻኿䇮⎈ᵄ╬䋩䉕⠨ᘦ䈚䈢⸃ᨆ䈏ⴕ䈋䉎ᵄᶉ
1350

0.9

ભᙑ

300

 O㒽឴ 㕒Ⓩᐲ⸃ᨆ䈮ㆡ↪䈚䈢䇯

0.8Oએਅ䈮䇮ᧄᬌ⸛䈮䈍䈔䉎⚿⺰䉕␜䈜䇯

0.7OભᙑḰ஻ O250200ᄌ ᒻ 䊝䊂䊦䈪䈅䉎㕖 ቯ Ᏹ ✭ ൨ ㈩ ਇ ⷙ ೣ ᵄ േ ᣇ ⒟ ᑼ 䉕᷼ ౝ0.6

㽲㩷 㕖 ቯ Ᏹ ✭ ൨ ㈩ ਇ ⷙ ೣ ᵄ േ ᣇ ⒟ ᑼ 䈲 䇮 ᄙ ᣇ ะ ਇ0.5

ⷙ ೣ ᵄ 䈮ኻ 䈜䉎䈾䈫䉖䈬䈱ᵄ ᶉ ᄌ ᒻ ⃻ ⽎ 䉕⹦ ⚦0.4

䈮⸃ ᨆ 䈜䉎䈖䈫䈏䈪䈐䉎䊝䊂䊦䈪䈅䉍䇮ⶄ 㔀 䈭᷼ ᒻ0.3

䉕᦭ 䈜 䉎Ṫ ᷼ ౝ 䈱ᵄ 㜞 ಽ Ꮣ 䉕ౣ ⃻ 䊶 ੍ ᷹ 䈜 䉎䈖䈫0.2150

䈏䈪䈐䈢䇯0.10

㽳㩷 ᄙ ᣇ ะ ਇ ⷙ ೣ ᵄ 䈱 㕒 Ⓩ ᐲ ⸃ ᨆ 䈪 䈲 䇮 ᓥ ᧪ 䈱 න100

৻ ᣇ ะ ⷙ ೣ ᵄ 䉕ᄖ ജ 䈫䈚䈢႐ ว 䈮⊒ ↢ 䈜䉎ᵄ 㜞50

50100

150

200

250300350

୯ 䈱਄ ਅ 䋨ᵄ 䈱ጊ 䈫⼱ 䈱ᓇ 㗀 䋩䈏⃻ 䉏䈝䇮ታ 㓙 䈱400

ESE⃻ ⽎ 䈮ㄭ 䈇ᵄ ᶉ ႐ 䈱ౣ ⃻ 䈏น ⢻ 䈪䈅䉎䇯

H=0.9m, T=3.0secಠ଀㒢⇇ᵄ㜞㧔0.4m㧕

੹ᓟ䈲䇮ᧄᚻᴺ䉕㒐ᵄႇ䈪䈱⿧ᵄ⃻⽎䈱ข䉍ᛒ䈇䈱ᡷ⦟䉕ⴕ䈉╬䇮䉋䉍ᄙ䈒䈱⃻⽎䉕ข䉍ᛒ䈋䉎䊝䊂䊦䈮䈚䈢䈇䈫⠨䈋䈩⚿ᨐN.G.

䈇䉎䇯䉁䈢䇮Boussinesq ᣇ⒟ᑼ䈭䈬䈱ᵄ䈱᦭㒢ᝄ᏷ᕈ䉕⠨࿑䋭㪎㩷 ᵄ㜞ಽᏓ⸘▚⚿ᨐ䋨ᰴᦼ⸘↹᷼ᒻ䇮᥸㘑ᤨᵄᶉ䋩ᘦ䈜䉎䈖䈫䈏䈪䈐䉎䊝䊂䊦䈱ᬌ⸛䉕ⴕ䈇䈢䈇䈫⠨䈋䈩䈇䉎䇯ෳ⠨ᢥ₂4501)

13502)

300

㒽ભᙑ
O0.8O0.6Ḱ஻O2503)

0.7

O

O

OભᙑOO ឴

2000.54)ᧄ㑆ੳ㩷 ⋙ୃ䋺ᶏጯⅣႺᎿቇ䇮᧲੩ᄢቇ಴

0.45)

ᷰㄝᤩ䇮ਣጊᐽ᮸䋺ዮ᛬䊶࿁᛬䊶⎈ᵄᷫ⴮䉕฽䉃ᵄᶉ႐䈱ᢙ୯⸃0.20.1␠䇮1985

ᨆᴺ䇮ᶏጯᎿቇ⺰ᢥ㓸䇮╙ 31 Ꮞ䇮pp.125-149䇮19846)

ᷰㄝᤩ䇮⏷ㇱ㓷ᒾ䇮ᴰችዅม䇮ਛ㊁⧷᮸䋺㕖ቯᏱ✭൨㈩ᣇ⒟ᑼ䈮䉋䉎ਇⷙೣᵄ䈱ᵻ᳓⎈ᵄᄌᒻ䈱⸃ᨆ䇮ᶏጯᎿቇ⺰ᢥ㓸䇮╙ 35 Ꮞ䇮

0100

pp.173-177䇮19887)
50

100

150

200

250

300

350

400ESE㩿㩷 㩷 㪀㩷 ▚ቯ቟ోଥ⦁ጯᑧ㐳㩷ಠ଀㒢⇇ᵄ㜞㧔0.4m㧕

H=0.9m, T=3.0sec8)ⴕ䈦䈢䇯䈠䈱⚿ᨐ䉕࿑䋭㪏 䈮␜䈜䇯䈖䉏䈮䉋䉍䇮ኻ⽎ᣉ⸳䋨ભᙑ 90m䋩೨㕙䈲㒢⇇ᵄ㜞 0.4m એਅ䈫䈭䉍䇮ᚲⷐ䈱㕒Ⓩ䉕⏕଻䈜䉎䈖䈫䈏䈪䈐䉎䈱䈪䇮䈖䉏䉕ᦨ⚳᷼ᒻ䈫䈚䈢䇯䉁䈢䇮᳿ቯ䈚䈢ᦨ⚳᷼ᒻ䈮ኻ䈚䇮቟ోଥ⦁ጯᑧ㐳䉕▚ቯ䈚䈢䇯࿑䋭㪏 䈮䈲⸘↹ᑧ㐳䈫䈫䉅䈮▚ቯ䈚䈢቟ోଥ⦁ጯᑧ㐳䉕␜䈜䇯⍹੗ᢅ㓷䇮⏷ㇱ㓷ᒾ䇮ᷰㄝᤩ䋺᦭ℂᑼㄭૃ䈮ၮ䈨䈒✭൨㈩ਇⷙೣ
ᵄേᣇ⒟ᑼ䉕↪䈇䈢ᐔ㕙 2 ᰴరᵄᶉ႐⸃ᨆ䇮ᶏጯᎿቇ⺰ᢥ㓸䇮╙

⚿ᨐ
O.K.

࿑䋭㪏㩷 ᵄ㜞ಽᏓ⸘▚⚿ᨐ䋨ᦨ⚳᷼ᒻ䇮᥸㘑ᤨᵄᶉ䋩⏷ㇱ㓷ᒾ䋺᦭ℂᑼㄭૃ䈮ၮ䈨䈒㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䇮ᶏጯᎿቇ⺰ᢥ㓸䇮╙ 40 Ꮞ䇮pp.26-30䇮199341 Ꮞ䇮pp.6-10䇮19949)

㪏㪇㩷㜞ጊ⍮ม䋺ᵄ䈱࿁᛬䈫᷼ౝᵄ㜞ಽᏓ䈮㑐䈜䉎⎇ⓥ䇮᷼ḧᛛ⎇⾗ᢱ䇮No.367䇮140p䇮1981

0.3150࿯ᧁቇળ㩷 ✬䋺ᶏጯᵄേ䇮䋭ᵄ䊶᭴ㅧ‛䊶࿾⋚䈱⋧੕૞↪䈱⸃ᨆᴺ
䋭䇮19940.950

ᬛᧁ੧㩷 ⋙ୃ䋺ⅣႺ࿤䈱ᣂ䈚䈇ᶏጯᎿቇ䇮䊐䉳䊶䊁䉪䊉䉲䉴䊁䊛䇮
pp.387-402䇮1999400⍹੗ᢅ㓷䇮⏷ㇱ㓷ᒾ䇮ᷰㄝᤩ䋺㕖ቯᏱ✭൨㈩ਇⷙೣᵄേᣇ⒟ᑼ䈮䈍䈔䉎Ⴚ⇇᧦ઙ䈱ᡷ⦟䈫ታ↪ൻ䈱⹜䉂䇮ᶏጯᎿቇ⺰ᢥ㓸䇮╙ 40
Ꮞ䇮pp.31-35䇮1993