河川情報シンポジウム講演集

㜞᳓ᵹ㊂᷹ⷰߩ⏕₸ಽᏓ⹏ଔߩ⹜ߺ
ධ ᷕਯ1࡮ᩙၔ ⒤2
1
৻⽷ᴡᎹᖱႎ࠮ࡦ࠲࡯
⎇ⓥ╙ੑㇱ ⎇ⓥຬ
⎇ⓥ╙ੑㇱ ㇱ㐳
2
৻⽷ᴡᎹᖱႎ࠮ࡦ࠲࡯
ߎࠇ߹ߢ㧘㧝࿁ߩᵹ㊂᷹ⷰ⚿ᨐߪ㧝ߟߩ୯ߢਈ߃ࠄࠇߡ߈ߚ㧚ᶋሶߦࠃࠆᵹ㊂᷹ⷰߩ႐ว㧘ⶄᢙߩᶋሶ
ࠍᛩਅߒߡන૏ᤨ㑆ߦ޽ࠆᢿ㕙ࠍㅢㆊߔࠆ㊂ࠍ᳞߼ࠆ߇㧘ᶋሶߩᛩਅߩ᧦ઙ߿᷹ⷰ⺋Ꮕ߆ࠄ㧘ߘߩᵹㅦⷰ
᷹୯ߦߪࡃ࡜ߟ߈߇฽߹ࠇࠆ߽ߩߣ⠨߃ࠄࠇࠆ㧚ߎߩࡃ࡜ߟ߈ࠍᵹ㊂᷹ⷰ⚿ᨐߦ෻ᤋߐߖࠆߚ߼㧘DIEX
ᴺࠍ૶ߞߡ㜞᳓ᵹ㊂᷹ⷰ⚿ᨐࠍ⏕₸ಽᏓߣߒߡ⴫⃻ߔࠆߎߣࠍ⹜ߺߚ㧚ߎߩࠕࡊࡠ࡯࠴ࠍ೑↪ߒߡ㧘ታ㓙
ߩᵹ㊂᷹ⷰ⚿ᨐߦၮߠߊᢙ୯ታ㛎ࠍⴕ޿㧘H-Qᑼࠍᄖᝌߒߚ㓙ߩࡃ࡜ߟ߈ࠍ⹏ଔߒߚ㧚
.H\:RUGV㜞᳓ᵹ㊂᷹ⷰ㧘DIEXᴺ㧘DIEX-Flow㧘⏕₸ಽᏓ
᷹ⷰߦ߅޿ߡ㧘᷹✢Ფߩ᷹ⷰߩਛߢ⦟ᅢߦ᷹ⷰߢ߈
ߚ߽ߩߣ㧘ߘ߁ߢߥ޿߽ߩ߽฽߹ࠇࠆ߇㧘ߘߎ߆ࠄ
▚಴ߐࠇࠆᵹ㊂ߪ㧝ߟߢ޽ࠆ㧚
৻ᣇ㧘ᴡᎹߩ⁁ᴫߪೞ৻ೞߣᄌൻߔࠆ߽ߩߢ޽ࠆ
ߚ߼㧘᷹ⷰࠍ➅ࠅ㄰ߒߡᲣ㓸࿅ߢ޽ࠆᵹ㊂ߩಽᏓ․
ᕈࠍ⍮ࠆߎߣߪ࿎㔍ߢ޽ࠆ㧚
ߘߎߢ㧘ᵹ㊂▚಴ᛛⴚߣߒߡᓥ᧪ࠃࠅ↪޿ࠄࠇߡ
߈ߚ඙ಽ᳞Ⓧᴺ㧔ᶋሶᵹਅㅦᐲߦᦝᱜଥᢙࠍਸ਼ߓߡ㧘
᳓ᷓᐔဋᵹㅦࠍዉ߈㧘඙ಽᢿ㕙ౝߦ৻᭽ߥᵹㅦࠍਈ
߃㧘ᵹ㊂ࠍ▚಴ߔࠆ㧕ߣߪ㆑ߞߚᣂᛛⴚߢ޽ࠆ
DIEXᴺࠍ↪޿ߡ㧘㧝࿁ߩᵹ㊂᷹ⷰᚑᨐ߆ࠄⶄᢙߩ
ᵹ㊂ࠍ▚಴ߒ㧘㜞᳓ᵹ㊂᷹ⷰ⚿ᨐࠍ⏕₸⊛ߦ⹏ଔߔ
ࠆߎߣࠍ⹜ߺߚ㧚DIEXᴺߩᢙ୯⸃ᨆߦߪᏒ⽼ߐࠇ
ߡ޿ࠆ‫ޟ‬DIEX-Flow‫ߚ޿↪ࠍޠ‬㧚
ᧄႎ๔ߢߪ㧘DIEXᴺߦߟ޿ߡ⠨ኤߒ㧘㜞᳓ᵹ㊂
᷹ⷰߩ⏕₸⹏ଔߦ೑↪ߔࠆߎߣߩน⢻ᕈߦߟ޿ߡᬌ
⸛ߔࠆ㧚
㧝㧚ߪߓ߼ߦ
ᴡᎹᵹ㊂᷹ⷰߪ㧘ᴡᎹࠍ⛽ᜬ▤ℂߔࠆ਄ߢ㊀ⷐߥ
ᬺോߢ޽ࠆ㧚ᵹ㊂᷹ⷰߪᵹ㊂ߩᄢዊߦࠃߞߡ᷹ⷰ᧦
ઙ߇ᄢ߈ߊ⇣ߥࠆߎߣ߆ࠄ㧘ૐ᳓ᵹ㊂᷹ⷰߣ㜞᳓ᵹ
㊂᷹ⷰߦಽ㘃ߐࠇ㧘ᣣᧄߦ߅޿ߡ㧘೨⠪ߪࡊ࡜ࠗࠬ
ᵹㅦ⸘ߥߤߩน៝ᑼᵹㅦ⸘ߦࠃࠆ᷹ⷰ߇㧘ᓟ⠪ߪᶋ
ሶߦࠃࠆ᷹ⷰ߇ඨ਎♿એ਄ߦࠊߚߞߡ↪޿ࠄࠇߡ߈
ߚ㧚
ㄭᐕᵹ㊂᷹ⷰߦ᳞߼ࠄࠇࠆ੐㗄߇㧘㜞♖ᐲൻ㧘⋭
ജൻ㧘࡝ࠕ࡞࠲ࠗࡓᕈߥߤᄙ᭽ߥ߽ߩߣߥࠅ㧘⿥㖸
ᵄᵹㅦ⸘㧘ADCP㧘↹௝⸃ᨆ╬ࠍ↪޿ߚ᭽‫ߥޘ‬ᵹ㊂
᷹ⷰᚻᴺ߇ឭ᩺ߐࠇߡ޿ࠆ㧚
ߘߩਛߢ㧘㜞᳓ᵹ㊂᷹ⷰߦ߅޿ߡߪ㧘੹߽ᶋሶߦ
ࠃࠆ᷹ⷰ߇ਥߣߥߞߡ޿ࠆ㧚ᶋሶ᷹ⷰߪ㧘ᕆ൨㈩ߢ
ᵩ᳓ᤨߩᵹㅦ߇ㅦ޿ᣣᧄߩᴡᎹߢߪ⏕ታߦᵹㅦࠍⷰ
᷹ߢ߈ࠆᚻᴺߩ㧝ߟߢ޽ࠆ߇㧘ᵩ᳓ᤨߩ᷹ⷰߢߪ㧘
ᄙᢙߩੱຬࠍⷐߔࠆߚ߼ࡇ࡯ࠢᤨߦ㑆ߦวࠊߥ޿㧘
஻⫾߇㔍ߒ޿ߚ߼ᶋሶߩᢙߦ㒢ࠅ߇޽ࠆ㧘ੱ๮ߦ㑐
ࠊࠆࠃ߁ߥᄢᵩ᳓ߩ႐วߪㆱ㔍ߩߚ߼ߦ᷹ⷰߢ߈ߥ
޿ߎߣ߇޽ࠆ㧘᮸ᧁߩ❥⨃ߦࠃࠅᶋሶ߇߁߹ߊᵹࠇ
ߥ޿ߣ޿ߞߚࠃ߁ߥ໧㗴ὐ߇޽ࠆ㧚
ᵹ㊂ߪ㧘ᴡᎹߩᮮᢿᣇะߦ᷹✢ࠍ⸳ߌߡ㧘᷹✢ߩ
ᵹㅦࠍ᷹ቯߒ㧘ᴡ㆏ߩᮮᢿ᷹㊂ߦࠃࠆ᷹✢Ფߩᢿ㕙
Ⓧߣᵹㅦ߆ࠄᵹ㊂ࠍ᳞߼ࠆߩ߇ၮᧄߢ޽ࠆ㧚ጊ↰
㧔2014㧕ߪਇ⏕ታߥᖱႎߦၮߠߊ࡝ࠬࠢߩ⹏ଔᚻᴺ
ࠍឭ᩺ߒ㧘㒠㔎ߩਇ⏕ታᕈ߇߽ߚࠄߔᵹ಴㊂ߩਇ⏕
ታᕈࠍ᳞߼㧘ᴡᎹႇ㒐ࠍ⿧᳓ߔࠆ⏕₸ࠍℂ⺰⊛ߦ␜
ߒߡ޿ࠆ㧚ߎࠇߦߥࠄߞߡᵹ㊂᷹ⷰࠍ⏕₸⹏ଔߔࠆ
ߎߣߦࠃࠅ㧘ᴡᎹ⸘↹ࠍ᳿ቯ⺰⊛ߢߪߥߊ㧘⏕₸⺰
⊛ߦ⼏⺰ߔࠆߎߣߦ⾗ߔࠆ߽ߩߣ⠨߃ࠄࠇࠆ㧚
ᓥ᧪ߩᵹ㊂᷹ⷰߢߪ㧘㧝࿁ߩ᷹ⷰߦࠃߞߡ᳞߼ࠄ
ࠇࠆᵹ㊂୯ߪ㧝୘ߛߌߢ޽ࠅ㧘ߘࠇ߇ߤߩࠃ߁ߥᲣ
㓸࿅߆ࠄᓧࠄࠇߚ᷹ⷰ୯ߢ޽ࠆ߆ߣ޿߁ߎߣߪᔅߕ
ߒ߽᣿⏕ߦᗧ⼂ߐࠇߡߎߥ߆ߞߚ㧚ߔߥࠊߜ㧘ᶋሶ
㧞㧚&+':ᴺߩ᭎ⷐ
DIEXᴺ㧔ജቇ⊛ౝᄖᝌᴺ㧘'ynamic ,nterpolation
and (;trapolation method㧕ߣߪ㧘ᵹਅᢿ㕙ߩ㒢ࠄࠇ
ߚㇱಽࠍ᷹ቯߒߡᓧߚᵹㅦ࠺࡯࠲߆ࠄᢿ㕙ో૕ߩᵹ
ㅦಽᏓࠍ᳞߼㧘ᵹ㊂ࠍ♖ᐲ⦟ߊ▚಴ߔࠆߚ߼ߩᢙ୯
⸃ᨆᛛⴚߢ޽ࠆ㧚⃻࿾᷹ⷰߢᓧࠄࠇߚ㔌ᢔ⊛ߥ‫ޟ‬ὐ‫ޠ‬
ᵹㅦ࠺࡯࠲ࠍ㧘ᵹ૕ߩㆇേᣇ⒟ᑼߦၮߠ޿ߡ‫ޟ‬㕙‫ޠ‬
ᵹㅦ࠺࡯࠲ߦᄌ឵ߒ㧘ᴡᎹᵹ㊂ࠍ▚಴ߔࠆߎߣ߇ߢ
߈ࠆ㧚ߔߥࠊߜ㧘ᴡ㆏ᢿ㕙ౝߩ޽ࠆㇱಽߦ߅ߌࠆᵹ
ㅦ࠺࡯࠲߇޽ࠇ߫㧘᳓ℂቇ⊛ߥℂ⺰ߦၮߠ߈㧘ߘߩ
ᵹㅦ࠺࡯࠲ࠍᢿ㕙ో૕ߩᵹㅦಽᏓߦᄌ឵ߢ߈ࠆ㧚
DIEXᴺߦߪ㧘ᵹㅦ᷹ⷰ࠺࡯࠲ࠍᢙ୯ࠪࡒࡘ࡟࡯
࡚ࠪࡦߦ⚵ߺㄟ߻ߚ߼ߩ⁛⥄ߩ‫࠲࡯࠺ޟ‬หൻᚻᴺ‫ޠ‬
߇⚵ߺㄟ߹ࠇߡ߅ࠅ㧘ᵹㅦ᷹ⷰ⚿ᨐࠍวℂ⊛߆ߟࠬ
ࡓ࡯࠭ߦᢙ୯⸘▚⚿ᨐߦ෻ᤋߔࠆߎߣࠍน⢻ߣߒߡ
7-1
޿ࠆ㧚ᶋሶߢ᷹ⷰߐࠇߚᵹㅦ୯ߪ޽ࠆ᷹ὐߩߺߩ࠺
࡯࠲ߢ޽ࠆߚ߼㧘DIEXᴺߦࠃࠆ࠺࡯࠲หൻߪᵹㅦ
ࠍ᳓ᷓᐔဋൻߒߚ㧞ᰴరߩᵹ૕ㆇേߩၮ␆ᣇ⒟ᑼࠍ
↪޿ߡⴕࠊࠇࠆ㧚ߘߩ㓙㧘᷹ⷰ߇࿎㔍ߢ޽ࠅ⹏ଔߩ
㔍ߒ޿㕖ቯᏱ㗄㧘⒖ᵹ㗄ࠍ⋭⇛ߔࠆઍࠊࠅߦ㧘ઃട
㗄 ‫ܨ‬௔ ࠍዉ౉ߒߡ޿ࠆ㧚߹ߚ㧘ઃട㗄 ‫ܨ‬௔ ߩᮮᢿಽᏓ
ߦㄭૃᦛ✢㧔⚻㛎⊛ߦ㧟ᰴ㑐ᢙߣߥࠆߎߣ߇ᄙ޿ߣ
ߐࠇࠆ㧕ࠍㆡ↪ߒߡ㧘ᦨዊੑਸ਼ᴺߦࠃࠅ᷹ⷰ⺋Ꮕࠍ
ᦨዊߦߒߚᒻߢ࠺࡯࠲หൻࠍⴕߞߡ޿ࠆ㧔࿑㧕㧚
DIEXᴺߦ߅ߌࠆၮ␆ᣇ⒟ᑼ♽ࠍᰴߦ␜ߔ㧚
⃻࿾᷹ⷰ
㪛㪠㪜㪯ᴺ䈮䉋䉎ᢙ୯⸃ᨆ
߲‫ݑ‬
߲‫ݑ‬
߲‫ݑ‬
൅‫ݑ‬
൅‫ݒ‬
ൌ
߲‫ݐ‬
߲‫ݔ‬
߲‫ݕ‬
ઃട㗄
䉕ౝᄖᝌ䈚
ᮮᢿಽᏓ䉕▚಴
‫ܥ‬௙ ଶ
߲
߲‫ݑ‬
߲‫ݑ‬
߲
൬‫ܣ‬ு ൰ ൅ ‰‫ ܫ‬൅
൬‫ܣ‬ு ൰ െ തതത
‫ ݑ‬
߲‫ݔ‬
߲‫ݔ‬
߲‫ݕ‬
‫ܦ‬
߲‫ݕ‬
‫ܨ‬௔ ൅ ‰‫ ܫ‬൅
‫ܥ‬௙ ଶ
߲‫ݑ‬
߲
൬‫ܣ‬ு ൰ െ തതത
‫ ݑ‬ൌͲ
߲‫ݕ‬
‫ܦ‬
߲‫ݕ‬
෼᧤⸘▚
ߎߎߢߪ㧘‫ ݔ‬㧘‫ߪݕ‬ਥᵹߣ㧘ᮮᢿᣇะߩᐳᮡ㧘‫ ݑ‬㧘
‫ ݔߪݒ‬㧘‫ݕ‬ᣇะߩ᳓ᷓᐔဋᵹㅦ㧘ு ߪ᳓ᷓᐔဋߒߚ
᳓ᐔ᷵േ☼ᕈଥᢙ㧘௏ ߪ᳓ᷓᐔဋߒߚ㋦⋥᷵േ☼
ᕈଥᢙ㧘‰ ߪ㊀ജടㅦᐲ㧘‫ߪ ܫ‬᳓㕙൨㈩㧘‫ߪ ܦ‬᳓ᷓ㧘
௙ ߪᐩ㕙៺ᡂଥᢙ㧔ൌ ‰݊ଶ Τ‫ ܦ‬ଵΤଷ 㧘݊ ߪࡑ࠾ࡦࠣߩ
☻ᐲଥᢙ㧕ࠍߘࠇߙࠇ⴫ߒߡ޿ࠆ㧚
ᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦߦᒰߞߡߪ㧘DIEXᴺࠍ৻
⥸࡙࡯ࠩߢ߽૶޿߿ߔ޿ࠃ߁ߦGUIⅣႺࠍᢛ஻ߒߚ
࠰ࡈ࠻࠙ࠚࠕߢ޽ࠆ‫ޟ‬DIEX-Flow‫ߚ޿↪ࠍޠ‬㧚
ߎߩ࠰ࡈ࠻࠙ࠚࠕߪԘInputࡈࠔࠗ࡞ߩ૞ᚑ࡮✬㓸㧘
ԙDIEXᴺߦࠃࠆᢙ୯⸃ᨆ㧔ᵹㅦౝᄖᝌᠲ૞㧕㧘Ԛ
Outputࡈࠔࠗ࡞ߩ಴ജ㧔⸃ᨆ⚿ᨐߩ⴫␜㧕ߩਃߟߩ
ᯏ⢻ࠍ᦭ߒߡ޿ࠆ㧚Inputࡈࠔࠗ࡞෸߮Outputࡈࠔࠗ
࡞ߩᖱႎߪ࠹ࠠࠬ࠻ࡈࠔࠗ࡞ߢ಴ജߐࠇࠆߣหᤨߦ㧘
಴ജߐࠇߚ࠹ࠠࠬ࠻ࡈࠔࠗ࡞ࠍ⺒ߺㄟࠎߛExcelࡈ
ࠔࠗ࡞ߦߣࠅ߹ߣ߼ࠄࠇ಴ജߐࠇࠆ㧚ߎࠇߦࠃࠅ㧘
࠺࡯࠲ߩ✬㓸߿⚿ᨐ⴫␜߇นⷞൻߐࠇ㧘࡙࡯ࠩ߇ᛒ
޿߿ߔ޿ࠃ߁Ꮏᄦߐࠇߡ޿ࠆ㧚
Inputࡈࠔࠗ࡞ߢߪ㧘ᢙ୯⸃ᨆߦᔅⷐߣߥࠆᴡᎹ࠺
࡯࠲㧔࿾⋚㜞㧘ᬀ↢㧘ᱫ᳓ၞ㧘☻ᐲଥᢙ㧕㧘᷹ⷰ࠺
࡯࠲㧔ᵹㅦ㧘ᮮᢿ૏⟎㧘㋦⋥૏⟎㧘᳓૏㧕ࠍ౉ജߔ
ࠆ㧚ᵹㅦ෸߮ᮮᢿ૏⟎ߪcsvࡈࠔࠗ࡞ߢขࠅㄟ߼ࠆ
ࠃ߁ߦ߽ߥߞߡ߅ࠅ㧘ᴡᐥߩᮮᢿಽᏓ߇หߓߢ޽ࠇ
߫㧘ⶄᢙߩ᷹ⷰ࠺࡯࠲ࠍ㧝ߟߩࡈࠔࠗ࡞ߢ౉ജಣℂ
ߢ߈ࠆࠃ߁㈩ᘦߐࠇߡ޿ࠆ㧚߹ߚ㧘⃻࿾ⅣႺ㧘᷹ⷰ
⚿ᨐ߆ࠄઃട㗄‫ܨ‬௔ ߩ⸘▚᧦ઙ㧔⵬㑆ᣇᴺ㧕ࠍ⸳ቯߔ
ࠆߎߣ߇น⢻ߣߥߞߡ޿ࠆ㧚
ౝᄖᝌᠲ૞ߪࠦࡑࡦ࠼ࡊࡠࡦࡊ࠻ࠍ੺ߒߡ⸘▚߇
ⴕࠊࠇ㧘㧝࿁ߩ᷹ⷰߦ߆߆ࠆ⸘▚ᤨ㑆ߪ෼᧤⸘▚ࠍ
ⴕ߁࿁ᢙߦᲧ଀ߔࠆ㧚෼᧤⸘▚߇߁߹ߊⴕࠊࠇߕߦ㧘
⊒ᢔߒߡࠛ࡜࡯ߣߥࠆ႐วߪ૶↪ߔࠆ㧼㧯ߦ߽ࠃࠆ
߇㧘ᢙචಽࠍⷐߔࠆߎߣ߽޽ࠆ㧚ߎߩ႐ว㧘෼᧤⸘
▚࿁ᢙࠍዋߥߊ⸳ቯߔࠇ߫ᚲⷐᤨ㑆ߪシᷫߐࠇࠆ㧚
ࠛ࡜࡯ߣߥࠆ߆ߤ߁߆㧘߹ߚ⸘▚ߩᚲⷐᤨ㑆߆ࠄⷰ
7-2
࿑DIEXᴺߦࠃࠆᵹ㊂▚಴ᚻ㗅ߩ᭎ⷐ
᷹ߩ⦟ุ㧘߭޿ߡߪ᷹ⷰᚲ㧔ᢿ㕙㧕ߩ⦟ุ߽ᗵߓߣ
ࠇࠆߣߎࠈߢ޽ࠆ㧚
Outputࡈࠔࠗ࡞ߢߪ㧘᳓ᷓᐔဋᵹㅦߩᮮᢿಽᏓ࿑㧘
ᵹㅦᮮᢿ㕙ࠦࡦ࠲࡯࿑㧘ᵹ㊂⋧㑐࿑╬߇ࠣ࡜ࡈ߿࿑
ߢ⴫␜ߐࠇࠆ㧚߹ߚ㧘DIEXᴺ߆ࠄ▚಴ߐࠇߚᵹ
ㅦ࡮ᵹ㊂ߩઁߦ㧘඙ಽ᳞Ⓧᴺߦࠃߞߡ▚಴ߐࠇߚᵹ
㊂ߩ⴫␜߽ㆬᛯߢ߈ࠆߚ߼㧘▚಴ᴺߩ㆑޿ߦࠃࠆᵹ
㊂ߩᲧセ߇น⢻ߢ޽ࠆ㧚
㧟㧚㜞᳓ᵹ㊂᷹ⷰߩਇ⏕ቯᕈ
ᵩ᳓ᵹߪᢥሼㅢࠅ᷵Ꮞ޿ߡᵹࠇߡ޿ࠆ㧚ߘߩ৻ߟ
ߩ޽ࠄࠊࠇߣߒߡ㧘ADCPࠍ৻ὐߦ࿕ቯߔࠆቯὐⷰ
᷹ߦࠃߞߡ㧘޽ࠆᤨ㑆ߩ㋦⋥ᣇะᵹㅦಽᏓࠍ᷹ⷰߒ㧘
ߘࠇࠍ଀߃߫㧝⑽ߏߣߦਗߴߡߺࠆߣ㛳ߊ߶ߤߦᄌ
േߒߡ޿ࠆߎߣ߇ࠊ߆ࠆ㧚ߎࠇߪ᳓ਛߦᄢዊߐ߹ߑ
߹㧘ゲߩᣇะ߽ߐ߹ߑ߹ߥ᷵߇ᄙᢙሽ࿷ߔࠆߚ߼ߢ
޽ࠆ㧚
ᶋሶߦࠃࠆᵹ㊂᷹ⷰߢߪ㧘৻⥸ߦ100 mߩ〒㔌ࠍ
ᵹਅߔࠆߩߦⷐߔࠆᤨ㑆ࠍ᷹ߞߡᵹ㊂ࠍ᳞߼ߡ޿ࠆ
߇㧘ߎࠇߪᵹㅦ߇5 m/sߦ߽෸߱ߣߒߡ߽20⑽⒟ᐲߩ
ᤨ㑆ࠍߣࠆߚ߼ߢ޽ࠆ㧚น៝ᑼᵹㅦ⸘ࠍ↪޿ࠆߣ߈
߽20⑽એ਄ߩᤨ㑆㧘᷹ቯࠍ⛯ߌߡᵹㅦࠍ᳞߼ࠆߎߣ
࿾⋚㜞
ϭϮϮ
ϰ
ϭϭϴ
Ϯ
ϭϭϰ
Ϭ
ϭϭϬ
ͲϮ
ϭϬϲ
Ͳϰ
ϭϬϮ
Ͳϲ
࿾⋚㜞䋨㫄䋩
ᶋሶᵹਅㅦᐲ
ϲ
ᶋሶᵹਅㅦᐲ䋨㫄㪆㫊䋩
ߣㅢߓࠆߎߣߢ޽ࠆ㧚ADCPߩቯὐ᷹ቯߦ߅޿ߡ㧘1
⑽ߏߣߩ᷹ⷰߪᄢ߈ߊᄌേߒߡ޿ߡ߽20⑽⒟ᐲߩᤨ
㑆ߢᐔဋߔࠇ߫߶߷৻ቯ୯ߦㄭߠߊߣ޿߁ߎߣߦࠃ
ߞߡ߽ᩮ᜚ߠߌࠄࠇࠆ㧚ߚߛߒ㧘ᶋሶߦࠃࠆᵹㅦ᷹
ቯߪ㧘ᵹࠇߦᴪߞߡ⒖േߔࠆᐔဋㅦᐲࠍ᳞߼ࠆߣ޿
߁Lagrange⊛ߥᣇᴺߢ޽ߞߡ㧘น៝ᑼᵹㅦ⸘ߦࠃࠆ
ᵹㅦ᷹ቯ߇ቯὐߢᵹㅦࠍ᷹ࠆEuler⊛ߥ߽ߩߢ޽ࠆߩ
ߣߪ⇣ߥࠆ߇㧘ᧄႎ๔ߢߪߘࠇࠄ߇╬ߒ޿߽ߩߣߒ
ߡᛒ߁㧚
ᶋሶߩ૗ᧄ߆߇᷹ቯߐࠇߥ߆ߞߚߣߒߡ㧘ߘࠇࠍ
㒰޿ߡ᳞߼ࠄࠇߚᵹ㊂୯߇ߤߩࠃ߁ߥ୯ߦߥࠆ߆ߣ
޿߁ߎߣ߆ࠄ㧘ᵹ㊂ߩ⌀୯߇ߤߩࠃ߁ߥ߽ߩߢ޽ࠆ
߆ࠍផ᷹ߢ߈ࠆߩߢߪߥ޿߆ߣ⠨߃ࠄࠇࠆ㧚ᵹ㊂ߩ
⸘▚ߦ↪޿ࠆᶋሶߩᧄᢙࠍᷫࠄߒߚ႐ว㧘ߘߩᶋሶ
ߩฃߌᜬߟ඙ಽᢿ㕙ࠍ㓞ធߔࠆ඙ಽᢿ㕙ߦ㈩ಽߒߡ
ᵹ㊂ࠍ᳞߼ࠆߎߣ߽⠨߃ࠄࠇࠆ㧚ߎߎߢDIEXᴺࠍ
↪޿ߚߩߪ㧘DIEXᴺ߇ᢿ㕙ߩ৻ㇱಽߦ߅ߌࠆ᷹ⷰ
୯߆ࠄ㧘᳓ℂቇ⊛ߦోᢿ㕙ߩᵹㅦಽᏓࠍ᳞߼ࠃ߁ߣ
ߔࠆᣇᴺߢ޽ࠆߩߢ㧘නߦᐞ૗ቇ⊛ߥᢿ㕙ౣಽഀߦ
ࠃߞߡ᳞߼ࠆᣇᴺߦᲧߴߡ⌀ߩ୯ߦㄭ޿ߣ⠨߃ࠄࠇ
ࠆ߆ࠄߢ޽ࠆ㧚ߎࠇߪ㧘㔎㊂⸘߆ࠄᵹၞᐔဋ㔎㊂ࠍ
᳞߼ࠆߩߦ㧘ᐞ૗ቇ⊛ߥThiessenᄙⷺᒻᴺߦࠃߞߡ
᳞߼ࠆߩߣ㧘࿾ᒻߥߤࠍൊ᩺ߒߚ਄ߢ㧘╬㔎㊂✢࿑
ࠍឬ޿ߡ᳞߼ࠆߩߣߩ㆑޿ߦߚߣ߃ࠆߎߣ߽ߢ߈ࠃ
߁㧚㔎㊂⸘ߩ৻ߟ߇ᰳ᷹ߒߚߣ߈Thiessenᄙⷺᒻࠍ
ಾࠅ⋥ߔᣇᴺߣ╬㔎㊂✢࿑ࠍᒁ߈⋥ߔᣇᴺߣߩᲧセ
ߦૃߡ޿ࠆߣ⠨߃ࠆ߽ߩߢ޽ࠆ㧚
ϵϴ
ϭ
Ϯ
ϯ
ϰ
ϱ
᷹✢⇟ภ
ϲ
ϳ
࿑ ᵹㅦ᷹ⷰ⚿ᨐ㧔㧭᷹ⷰᚲ㧕෸߮ᮮᢿ㕙
ϰϬ
ϯϴ
ϯϱ
ϯϮ
ϯϬ
ᐲᢙ
Ϯϱ
ϮϬ
ϭϳ
ϭϱ
ϭϬ
ϱ
Ϭ
ϵ
ϴ
ϯ
Ϭ
ϯ
ϵ
ϭ
Ϭ
Ϭ
ᵹ㊂㪨䋨㫄㪊㪆㫊䋩
㧠㧚㜞᳓ᵹ㊂᷹ⷰߩ⏕₸ಽᏓ
㧔㧕▚಴ᵹ㊂ߩ⏕₸ಽᏓ
㧭᷹ⷰᚲߩ޽ࠆ㧝࿁ߩ㜞᳓ᵹ㊂᷹ⷰߦߟ޿ߡ㧘
DIEX-Flowࠍ૶↪ߒ㧘ᵹ㊂᷹ⷰ㧔ᶋሶ㧕ߢᓧࠄࠇߚ
ᵹㅦ࠺࡯࠲ߩ৻ㇱ㧔߹ߚߪోㇱ㧕ࠍ↪޿ߡోᢿ㕙ᵹ
㊂ࠍផ▚ߒ㧘ផ▚ᵹ㊂ߩ㗫ᐲಽᏓ߆ࠄᵹ㊂᷹ⷰߩ⏕
₸ಽᏓࠍផቯߒߚ㧚
ᬌ⸽ߔࠆ㜞᳓ᵹ㊂᷹ⷰߪ✕ᕆᴺߦၮߠ޿ߡ㧣ᧄߩ
᷹✢ߢ᷹ⷰߐࠇߡ޿ࠆ㧚࿑ߦᮮᢿ㕙෸߮ᶋሶⷰ
᷹ᵹ㊂୯ࠍ␜ߔ㧚਄⸥ߩ᷹ⷰߦ߅ߌࠆ඙ಽ᳞Ⓧᴺߦ
ࠃࠆ▚಴ᵹ㊂ߪ2,042 m3/sߢ޽ߞߚ㧚
㧣ᧄߩ᷹✢ߩਛ߆ࠄ㧝᷹✢ߩߺߩ࠺࡯࠲ࠍ↪޿ߡ
▚಴ߒߚ߽ߩ㧘㧞㨪㧢᷹✢ߩ࠺࡯࠲ࠍ⚵ߺวߖߡ▚
಴ߒߚ߽ߩ㧘㧣ᧄోߡߩ᷹✢ࠍ૶↪ߒ▚಴ߒߚ߽ߩ
ࠍวߖࠆߣ㧝㧞㧣ઙߩ▚಴ᵹ㊂࠺࡯࠲߇DIEXᴺࠃ
ࠅ᳞߼ࠄࠇࠆ㧚
ᶋሶߦࠃࠆᵹㅦߩ᷹ቯߦߪࡃ࡜ߟ߈߇฽߹ࠇߡ޿
ࠆߣ⠨߃ࠄࠇࠆ߇㧘ోߡߩ᷹ቯ࠺࡯࠲ࠍ૶߁ߩߢߪ
ߥߊ㧘ᵹㅦ࠺࡯࠲ࠍㆬᛯߒߡᵹ㊂ࠍ▚಴ߔࠆߎߣߦ
ࠃࠅ㧘▚಴⚿ᨐߦ߽ࡃ࡜ߟ߈߇↢ߓࠆ㧚
଀߃߫㧘᷹✢ߩ㧝⇟㧘㧟⇟㧘㧡⇟ࠍ⚵ߺวࠊߖߚ
႐วߩ▚಴ᵹ㊂ߪ1,959 m3/sߢ㧘㧞⇟㧘㧠⇟㧘㧢⇟
ࠍ⚵ߺวࠊߖߚ႐วߩ▚಴ᵹ㊂ߪ2,008 m3/sߣߥߞ
ߚ㧚߅ࠃߘ50 m3/sߩᏅ߇಴ߡ޿ࠆ㧚ߎߩࠃ߁ߦ㧘ㆬ
ᛯߔࠆ᷹✢ߩ⚵ߺวࠊߖߦࠃߞߡ㧘▚಴ᵹ㊂ߦࡃ࡜
7-3
࿑▚಴ᵹ㊂ߩࡅࠬ࠻ࠣ࡜ࡓ㧔1= 120㧕
ߟ߈߇↢ߓࠆ㧚
㧣ߟߩ᷹✢ߦࠃࠆ㧝㧞㧣ㅢࠅߩᵹ㊂ࠍ▚ቯߒߚ⚿
ᨐ㧘㧝ߟߩ᷹✢ߩߺࠍㆬᛯߒߚ㧣ㅢࠅߩ▚಴ᵹ㊂ߦ
ߟ޿ߡߪ㧘ࠛ࡜࡯⴫␜ߣߥࠅᵹ㊂߇▚಴ߐࠇߥ߆ߞ
ߚ㧚ߎࠇߪ㧝ߟߩ᷹✢ߩߺߢోᢿ㕙ࠍ⸘▚ߒߥߌࠇ
߫ߥࠄߥߊߥࠅ㧘ౝᄖᝌᠲ૞ߢ⊒ᢔ߇↢ߓࠆߚ߼ߢ
޽ࠆ㧚ߔߥࠊߜ㧘㧝ὐߛߌߩ᷹ⷰߢߪᵹㅦߩ‫ޟ‬ὐ‫ޠ‬
࠺࡯࠲߆ࠄ‫ޟ‬㕙‫ߩ߳࠲࡯࠺ޠ‬ᄌ឵߇ߢ߈ߥ޿ߎߣࠍ
␜ߒߡ޿ࠆ㧚
DIEXᴺ߆ࠄ▚಴ߒߚ㧝㧞㧣ઙߩᵹ㊂ߦߟ޿ߡࠛ
࡜࡯ࠍ㒰ᄖߒߡ㧘㧝㧞㧜ઙߩᵹ㊂ߦߟ޿ߡᮮゲߦᵹ
㊂㧘❑ゲߦ㗫ᐲࠍߣࠅ㧘ࡅࠬ࠻ࠣ࡜ࡓࠍឬ߈㧔࿑
㧕㧘ߎߩ߫ࠄߟ޿ߚ▚಴⚿ᨐߩಽᏓࠍ߽ߣߦ㧘޽
ࠆᵹ㊂߇⊒↢ߒߡ޿ߚ⏕₸ࠍ⹏ଔߔࠆ㧚
ᰴߦ㧘਄⸥ߩ▚಴ᵹ㊂߇ᱜⷙಽᏓߒߡ޿ࠆ߆ߤ߁
߆ࠍ⺞ߴࠆߚ߼ߦ㧘ᱜⷙ⏕₸⚕ࠍ↪޿ߡᬌ⸛ߔࠆ㧚
ዊߐ޿㗅ߦਗߴߚ▚಴ᵹ㊂࠺࡯࠲ߣ㧘ߎࠇߦኻᔕߔ
ࠆᱜⷙಽᏓߩᐳᮡ୯ࠍ↪޿ߡ㧘㧞ᰴరߩᢔᏓ࿑ࠍឬ
߈㧘ᐳᮡ୯ߩㄭૃ✢਄ߦ▚಴ᵹ㊂࠺࡯࠲߇ᢔࠄ߫ߞ
ߡ޿ࠆࠃ߁ߢ޽ࠇ߫㧘ᱜⷙಽᏓߣߺߥߔߎߣ߇ߢ߈
ࠆߣ⠨߃ߚ㧚ࡊࡠ࠶࠹ࠖࡦࠣ㨯ࡐ࡚ࠫࠪࡦ౏ᑼߣߒ
ߡߪWeibullᴺࠍ↪޿ߚ㧚
࿑ ߩ㕍⦡ࡊࡠ࠶࠻ߪ㧘▚಴ᵹ㊂࠺࡯࠲ࠍᱜⷙ
ಽᏓߩᐳᮡ୯ߦ⟎߈឵߃ߚ߽ߩߢ޽ࠆ㧚
⿒✢ߪᱜⷙಽᏓߩᐳᮡ୯ߢ޽ࠅ㧘▚಴ᵹ㊂࠺࡯࠲
ߪࠃߊ৻⥌ߒߡ޿ࠆߣ⹺߼ࠄࠇࠆߩߢ㧘ᱜⷙಽᏓߣ
ߺߥߔߎߣ߇ߢ߈ࠆ㧚
▚಴ᵹ㊂߇ᱜⷙಽᏓߒߡ޿ࠆߣ޿߁ߎߣ߆ࠄ㧘ᮡ
ḰᱜⷙಽᏓ⴫ࠍ↪޿ߡ㧘޽ࠆᵹ㊂એ਄ߩᵹ㊂߇⊒↢
⴫ㆬᛯߔࠆ᷹✢ᢙߣ⚵วߖߩᢙ෸߮DIEXᴺߢ
ᵹ㊂ࠍ▚಴ߒߚ႐วߩࠛ࡜࡯ߩᢙ
ϯ
3
4
5
6
7
8
9 10 11 ⸘
ㆬᛯ䈜䉎᷹✢ᢙ 1 2
11 55 165 330 462 462 330 165 55 11 1 2047
⚵ว䈞䈱ᢙ
8 24 34 25 10
2
0
0
0 0 0 103
䉣䊤䊷䈱ᢙ
EсϭϮϬ
Ϭ
ᮡḰ஍Ꮕ
ͲϮ
Ͳϯ
Ͳϰ
ϭϮϬϬ
ϭϰϬϬ
ϭϲϬϬ
ϭϴϬϬ
ϮϬϬϬ
ϮϮϬϬ
ϮϰϬϬ
࿑▚಴ᵹ㊂㧔㧭᷹ⷰᚲߦ߅ߌࠆ㧝࿁ߩᵹ㊂᷹ⷰ㧕
ߩࡅࠬ࠻ࠣ࡜ࡓ
ᵹ㊂䋨㫄㪊㪆㫊䋩
㗫ᐲ
Ϯ
ϯ
ϰ
ϱ
ϲ
ϳ
ϴ
ϵ
ϭϬ ϭϭ
᷹✢ᢙ
Ϭ͘ϯ
ᱜⷙಽᏓ࿑
㪉㪃㪈㪇㪇㫄㪊㪆㫊એ਄
䈫䈭䉎⏕₸
Ϭ͘Ϯ
Ϭ͘ϭϱ
Ϭ͘Ϭϱ
Ϭ
ᵹ㊂㪨䋨㫄㪊㪆㫊䋩
࿑▚಴ᵹ㊂ߩࡅࠬ࠻ࠣ࡜ࡓߣᱜⷙಽᏓᦛ✢
ᮡḰ஍Ꮕ䋨㫄㪊㪆㫊䋩
Ϭ͘ϭ
ϯϭϰϬ
ϯϬϴϬ
ϯϬϮϬ
ϮϵϲϬ
ϮϵϬϬ
ϮϴϰϬ
ϮϳϴϬ
ϮϳϮϬ
ϮϲϲϬ
ϮϲϬϬ
ϭ
Ϭ͘ϯϱ
Ϭ͘Ϯϱ
/yᴺ䈎䉌䈱▚಴ᵹ㊂ᐔဋ
ϭϴϬ
ϭϲϬ
ϭϰϬ
ϭϮϬ
ϭϬϬ
ϴϬ
ϲϬ
ϰϬ
ϮϬ
Ϭ
ᵹ㊂䋨㫄㪊㪆㫊䋩
Ͳϭ
࿑᷹✢ᢙߣᮡḰ஍Ꮕ෸߮ᐔဋᵹ㊂ߩ㑐ଥ
ᮡḰ஍Ꮕ
ϭϴϬ
ϭϲϬ
ϭϰϬ
ϭϮϬ
ϭϬϬ
ϴϬ
ϲϬ
ϰϬ
ϮϬ
Ϭ
ϭ
Ϯ
ϯ
ϰ
ϱ
ᄌേଥᢙ
ϲ
ϳ
ϴ
ϵ
ϵ
ϴ
ϳ
ϲ
ϱ
ϰ
ϯ
Ϯ
ϭ
Ϭ
ᄌേଥᢙ䋨㩼䋩
ϭ
ᱜⷙಽᏓ䈱ᐳᮡ୯
ᮡḰ஍Ꮕ䋨㫄㪊㪆㫊䋩
ᱜⷙಽᏓ䈱ᐳᮡ୯
Ϯ
ϭϬ ϭϭ
᷹✢ᢙ
ߒߡ޿ߚ⏕₸߇ࠊ߆ࠆ㧚㧭᷹ⷰᚲߩᵹ㊂᷹ⷰ⚿ᨐ߆
࿑᷹✢ᢙࠍᄌ߃ߚ႐วߩᮡḰ஍Ꮕߣᄌേଥᢙ
ࠄ㧘DIEXᴺߦࠃࠅ㧝㧞㧜ઙߩ࠺࡯࠲߇▚಴ߢ߈㧘
ߘߩᐔဋ㧔ρ㧕ߪ1,965m3/sߢ޽ࠅ㧘ߎߩᮡḰ஍Ꮕ
㧔ɐ㧕ߪ160.82m3/sߢ޽ߞߚ㧚
ᮡḰ஍Ꮕߪዊߐߊߥߞߡ޿ߊ㧚ᐔဋᵹ㊂ߪ᷹✢߇㧠
޽ࠆᵹ㊂㧔㧕એ਄ߣߥࠆ⏕₸ࠍ᳞߼ࠆߚ߼ߦߪ㧘 㨪㧝㧝ᧄ߹ߢߪ᭎ߨหߓ୯ࠍ␜ߒߡ޿ࠆ㧚߹ߚ㧘࿑
௑ିఓ
ᮡḰൻߐࠇߚ⏕₸ᄌᢙ㧔 ఙ 㧕ߣᮡḰᱜⷙಽᏓ⴫ߣ
ߩ⿒✢ߪᮡḰ஍Ꮕࠍᐔဋᵹ㊂ߢ㒰ߒߚ߽ߩ㧔ᄌ
ࠍ↪޿ࠆ㧚଀߃߫㧘2,100m3/sએ਄ߩᵹ㊂߇⊒↢ߒ
േଥᢙ㧕ࠍ␜ߒߡ޿ࠆ߇㧘᷹✢㧝㨪㧠ᧄ߹ߢߣ㧡㨪
ߡ޿ߚ⏕₸ߪ㧘⏕₸ᄌᢙߪ0.84ߢᮡḰᱜⷙಽᏓ⴫ߦ
㧝㧜ᧄ߹ߢߢ௑ะ߇⇣ߥߞߡ޿ࠆ㧚ࠃߞߡ㧘ߎߩᢿ
ኻᔕߔࠆ0.84ߩ୯ߪ0.7995ߣߥࠆߚ߼㧘1߆ࠄ0.7995
㕙ߦ߅޿ߡߪ㧘ዋߥߊߣ߽㧡᷹✢એ਄ߢ᷹ⷰߔࠆߩ
ࠍᒁ߈㧘100ࠍដߌࠆߣ20.05%ߣߥࠆ㧔࿑㧕㧚
߇ࠃ޿ߣ⸒߃ࠃ߁㧚
㧔㧕ᮡḰ஍Ꮕߦࠃࠆ᷹✢ᢙߩ⹏ଔ
㧮᷹ⷰᚲߩᎹ᏷ߪ߅ࠃߘ300 mߢ޽ࠅ㧘㧝㧝ᧄߩ
᷹✢ߢᶋሶߦࠃࠆ㜞᳓ᵹ㊂߇᷹ⷰߐࠇߡ޿ࠆ㧚᷹✢
ߩᢙߣ㈩⟎ࠍߐ߹ߑ߹ߦᄌᦝߒߚߣ߈ߩ⚵วߖ✚ᢙ
ߪ㧞㧜㧠㧣ߢ޽ࠅ㧘ߘߩౝ⸶ߪ⴫ߦ␜ߔㅢࠅߢ
޽ࠆ㧚DIEXᴺ߆ࠄᵹ㊂߇▚಴ߢ߈ߕߦࠛ࡜࡯ߣߥ
ߞߚ⚵วߖߩᢙ߽วࠊߖߡ␜ߔ㧚
᷹✢Ფߩ⚵ߺวࠊߖߩᢙ߇߆ߥࠅᄙ޿ߩߢ㧘ㆬᛯ
ߔࠆ᷹✢ᢙߦࠃߞߡࡃ࡜ߟ߈ߦߤߩࠃ߁ߥಽᏓߩ㆑
޿߇ߢߡߊࠆ߆ࠍᬌ⸽ߔࠆ㧚
ߎߎߢߪ㧘ᮡḰ஍Ꮕࠍ৻ߟߩᜰᮡߣߔࠆ㧚
᷹✢ᢙ߇Ⴧ߃ࠆߦߟࠇ㧘ᐔဋ୯߇⧯ᐓჇടߒߡ޿
ࠆ৻ᣇߢ㧘ᮡḰ஍Ꮕߪዊߐߊߥࠅ㧘▚ቯߐࠇࠆᵹ㊂
୯ߩା㗬ᐲߪ㜞ߊߥࠆ㧚࿑ ࠃࠅ㧘᷹✢߇㧝㨪㧠
ᧄ߹ߢߪห⒟ᐲߩᮡḰ஍Ꮕߢ޽ࠆ߇㧘㧡ᧄએ਄߆ࠄ
㧔㧕᳓૏ᵹ㊂ᦛ✢ߩಽᏓߣ஍Ꮕ
৻⥸⊛ߦ㧘ᵹ㊂ࠍㅪ⛯⊛ߦ▚಴ߔࠆߚ߼ߦ㧘ㅪ⛯
⊛ߥ᷹ⷰ߇น⢻ߥ᳓૏࠺࡯࠲ࠍ㧘᳓૏ߣᵹ㊂ߩ㑐ଥ
ࠍ⴫ߔ᳓૏ᵹ㊂ᦛ✢㧔H-Qᦛ✢㧕ߦઍ౉ߒߡᵹ㊂ࠍ
᳞߼ࠆ㧚
㧯᷹ⷰᚲߢߪ㧘޽ࠆᐕߦ㧤࿁ߩ㜞᳓ᵹ㊂᷹ⷰ߇ታ
ᣉߐࠇߚ㧚࿑ߦ᳓૏ߣᵹ㊂ߩ㑐ଥࠍ␜ߔ㧚
ߘߎߢ㧘߹ߕ㧤࿁ߩ᷹ⷰߘࠇߙࠇߦߟ޿ߡ㧔㧝㧕
ߢ␜ߒߚࠃ߁ߦ᷹✢Ფࠍ⚵ߺวࠊߖߡᵹ㊂ࠍ▚಴ߒ㧘
⏕₸ಽᏓࠍ⹏ଔߔࠆ㧚
࿑ߪ㧘ߘࠇߙࠇߩ᷹ⷰߦ߅ߌࠆ㧘DIEXᴺߢ᳞
߼ߚ▚಴ᵹ㊂࠺࡯࠲ࠍᱜⷙಽᏓߩᐳᮡ୯ߦ⟎߈឵߃㧘
ᱜⷙಽᏓߩᐳᮡ୯ߣᲧセߒߚࠣ࡜ࡈߢ޽ࠆ㧚▚಴ᵹ
㊂߇ᱜⷙಽᏓߩᐳᮡ୯߆ࠄዋߒᄖࠇࠆ᷹߽ⷰ⷗ࠄࠇ
ࠆ߇㧘ߎߎߢߪ޿ߜ߅߁ᱜⷙಽᏓߒߡ޿ࠆ߽ߩߣߒ
7-4
ϴ
ϲ
ϭ
Ϯ
ϯ
ᵹ㊂᷹ⷰ୯䈮䉋䉎+4ᑼ
ϱ͘ϬϬ
⥄⸥ᦨ㜞᳓૏䋺㪈㪉㪅㪉㪈P
ϰ͘ϬϬ
ᵹⷰᤨᦨ㜞᳓૏䋺㪈㪇㪅㪎㪉P
Ϯ
Ϯ
ϭ͘ϱ
ϭ͘ϱ
ϭ
ᐔဋᵹ㊂
ϮϬϬϬ
Ϭ͘Ϯϱ
Ͳϭ
Ͳϭ
ͲϮ
Ͳϭ͘ϱ
ͲϮ
Ͳϯ
ͲϮ͘ϱ
᷹ⷰ⇟ภ䋳
᷹ⷰ⇟ภ䋴
Ϯ
Ϯ
ϭ͘ϱ
ϭ͘ϱ
ϭ
ϮϰϬϬ͘ϬϬ
ϮϲϬϬ͘ϬϬ
ϮϴϬϬ͘ϬϬ
Ϭ
ϮϬϬϬ͘ϬϬ
ͲϬ͘ϱ
ϯϬϬϬ͘ϬϬ
Ͳϭ
Ͳϭ͘ϱ
ͲϮ͘ϱ
ͲϮ
Ͳϯ
ϮϱϬϬ͘ϬϬ
ϯϬϬϬ͘ϬϬ
ϯϱϬϬ͘ϬϬ
Ϭ͘Ϯ
ϳϬϬϬ
ϴϬϬϬ
㪎㪅㪇㫄
ϵϬϬϬ
ϭϬϬϬϬ
ϭϭϬϬϬ
᳓૏ϰ䌾ϭϬŵ䈱
ᵹ㊂䈱㗫ᐲಽᏓ
㪏㪅㪇㫄
᳓૏ϭϬ͘ϳϮŵ䈱
ᵹ㊂䈱㗫ᐲಽᏓ
㪈㪇㪅㪇㫄
㪈㪇㪅㪎㪉㫄
Ϭ͘ϭϱ
Ϭ
ϰϬϬϬ͘ϬϬ
ͲϮ͘ϱ
᷹ⷰ⇟ภ䋵
᷹ⷰ⇟ภ䋶
Ϯ
Ϯ
ϭ͘ϱ
ϭ͘ϱ
ϭ
ϭ
Ϭ͘ϱ
Ϭ͘ϱ
ϯϬϬϬ͘ϬϬ
ϯϱϬϬ͘ϬϬ
ϰϬϬϬ͘ϬϬ
ϰϱϬϬ͘ϬϬ
Ϭ
ϰϬϬϬ͘ϬϬ ϰϮϬϬ͘ϬϬ ϰϰϬϬ͘ϬϬ ϰϲϬϬ͘ϬϬ ϰϴϬϬ͘ϬϬ ϱϬϬϬ͘ϬϬ ϱϮϬϬ͘ϬϬ ϱϰϬϬ͘ϬϬ
ͲϬ͘ϱ
ϱϬϬϬ͘ϬϬ
Ͳϭ
Ͳϭ
Ͳϭ͘ϱ
Ͳϭ͘ϱ
ͲϮ
ͲϮ
ͲϮ͘ϱ
ͲϮ͘ϱ
Ͳϯ
᷹ⷰ⇟ภ䋷
᷹ⷰ⇟ภ䋸
Ϯ͘ϱ
Ϯ
Ϯ
ϭ͘ϱ
ϭ
ϭ͘ϱ
Ϭ͘ϱ
ϭ
Ϭ͘ϱ
Ϭ
ϱϱϬϬ͘ϬϬ ϱϳϬϬ͘ϬϬ ϱϵϬϬ͘ϬϬ ϲϭϬϬ͘ϬϬ ϲϯϬϬ͘ϬϬ ϲϱϬϬ͘ϬϬ ϲϳϬϬ͘ϬϬ ϲϵϬϬ͘ϬϬ
ͲϬ͘ϱ
ͲϮ
ϲϬϬϬ
᳓૏ϭϮ͘Ϯϭŵ䈱
ᵹ㊂䈱㗫ᐲಽᏓ
㪈㪉㪅㪉㪈㫄
Ϭ͘Ϭϱ
Ͳϭ
ͲϮ
Ͳϭ
ϱϬϬϬ
Ϭ͘ϱ
ϮϮϬϬ͘ϬϬ
Ͳϭ͘ϱ
Ͳϭ͘ϱ
ϰϬϬϬ
㪐㪅㪇㫄
Ϭ͘ϭ
ϭ
Ϭ͘ϱ
㗫ᐲ
Ϭ
ϭϱϬϬ͘ϬϬ ϭϳϬϬ͘ϬϬ ϭϵϬϬ͘ϬϬ ϮϭϬϬ͘ϬϬ ϮϯϬϬ͘ϬϬ ϮϱϬϬ͘ϬϬ ϮϳϬϬ͘ϬϬ ϮϵϬϬ͘ϬϬ
ͲϬ͘ϱ
ͲϮ͘ϱ
ϯϬϬϬ
㪍㪅㪇㫄
㪌㪅㪇㫄
㪋㪅㪇㫄
Ϭ͘ϯ
ϭ
Ͳϭ͘ϱ
ϱϬϬ
࿑ H-Q㑐ଥ㧔㧝ਁ⚵㧕߆ࠄ᳞߼ߚᐔဋᵹ㊂ߣᮡ
Ḱ஍Ꮕߩ㑐ଥ
Ϭ͘ϱ
Ϭ
ϭϬϬϬ͘ϬϬ ϭϮϬϬ͘ϬϬ ϭϰϬϬ͘ϬϬ ϭϲϬϬ͘ϬϬ ϭϴϬϬ͘ϬϬ ϮϬϬϬ͘ϬϬ ϮϮϬϬ͘ϬϬ ϮϰϬϬ͘ϬϬ
ͲϬ͘ϱ
ϰϱϬ
ᵹ㊂䋨㫄㪊㪆㫊䋩
᷹ⷰ⇟ภ䋲
Ϭ͘ϱ
ϰϬϬ
ᮡḰ஍Ꮕ
Ϭ͘ϯϱ
᷹ⷰ⇟ภ䋱
Ϭ
ϮϱϬϬ͘ϬϬ
ͲϬ͘ϱ
ϯϱϬ
ϵ͘ϬϬ
ϲ͘ϬϬ
ᵹ㊂䋨㫄㪊㪆㫊䋩
Ϭ
ϮϬϬϬ͘ϬϬ
ͲϬ͘ϱ
ϯϬϬ
ϭϬ͘ϬϬ
ᵹ㊂᷹ⷰ୯
࿑ᵹ㊂᷹ⷰ⚿ᨐ㧔㧯᷹ⷰᚲ㧕
ᮡḰ஍Ꮕ䋨㫄㪊㪆㫊䋩
ϮϬϬ
ϮϱϬ
ϳ͘ϬϬ
ϰ
ϭϱϬ
ϴ͘ϬϬ
ϱ
ϭϬϬ
ϭϭ͘ϬϬ
᳓૏䋨㫄䋩
᳓૏䋨㫄䋩
ϱϬ
ϭϮ͘ϬϬ
ϳ
Ϭ
ϭϯ͘ϬϬ
Ϭ
ϱϱϬϬ͘ϬϬ
ͲϬ͘ϱ
ϲϬϬϬ͘ϬϬ
ϲϱϬϬ͘ϬϬ
ϳϬϬϬ͘ϬϬ
ϳϱϬϬ͘ϬϬ
ϴϬϬϬ͘ϬϬ
Ͳϭ
Ͳϭ͘ϱ
ͲϮ
ͲϮ͘ϱ
࿑ฦ᷹ⷰ⇟ภߩ⏕₸ಽᏓ㧔1= 13㧕
Ͳϯ
ߡએਅߩ⸘▚ࠍⴕ߁㧚
DIEXᴺߦࠃࠆ▚಴ᵹ㊂߆ࠄ᷹ⷰᲤߩᐔဋ୯ߣᮡ
Ḱ஍Ꮕࠍ᳞߼㧘ᱜⷙੂᢙࠍ૶ߞߡߎߩᐔဋ୯㧘ᮡḰ
஍ᏅߩᱜⷙಽᏓߦᓥ߁ᵹ㊂୯ࠍ⊒↢ߐߖߚ㧚
ߐࠄߦ㧘⊒↢ߐߖߚ㧤ߟߩᵹ㊂ࠍ㧝ߟߩࠣ࡞࡯ࡊ
ߣߒߡ㧘᳓૏ᵹ㊂ᦛ✢ᑼ㧔ܳ ൌ ‫ܣ‬ሺ‫ ܪ‬൅ ‫ܤ‬ሻଶ 㧘ܳߪᵹ
㊂㧘‫ߪܪ‬᳓૏㧘‫ܣ‬෸߮‫ߪܤ‬ቯᢙ㧕ࠍ૞ᚑߒߚ㧚ߎࠇࠍ
㧝ਁ࿁➅ࠅ㄰ߔߣ㧘ᱜⷙಽᏓߔࠆᵹ㊂୯ߦኻᔕߒߚ
㧝ਁᧄߩ᳓૏ᵹ㊂ᦛ✢ᑼࠍ૞ᚑߔࠆߎߣ߇ߢ߈㧘ᓧ
ࠄࠇߚ㧝ਁᧄߩ᳓૏ᵹ㊂ᦛ✢ᑼ߆ࠄ㧘㧝ߟߩ᳓૏ߦ
ߟ޿ߡ㧝ਁ୘ߩ᳓૏឵▚ᵹ㊂࠺࡯࠲߇᳞߹ࠆ㧚ߎߎ
ߢߪ㧘ᵹ㊂᷹ⷰᤨߩᦨૐ᳓૏ߢ޽ࠆ4.79 m ߆ࠄᒰ⹥
㜞᳓᷹ⷰߩ⥄⸥ᦨ㜞᳓૏ߢ޽ࠆ12.21 m߹ߢߩ᳓૏
ߦߟ޿ߡ㧘ߘࠇߙࠇߩ᳓૏ᵹ㊂ᦛ✢ᑼ߆ࠄ᳓૏឵▚
ᵹ㊂ࠍ᳞߼ߚ㧚
ߘࠇߙࠇߩ᳓૏߆ࠄᓧࠄࠇߚ㧝ਁ୘ߩ᳓૏឵▚ᵹ
㊂ߩᮡḰ஍Ꮕ㧘ᐔဋᵹ㊂ࠍ࿑ߦ␜ߔ㧚
߹ߚ㧘4.00 m߆ࠄ10.00 m߹ߢߩ1 m㑆㓒㧘ᵹ㊂ⷰ
7-5
Ϭ
ϭϬϬϬ ϮϬϬϬ ϯϬϬϬ ϰϬϬϬ ϱϬϬϬ ϲϬϬϬ ϳϬϬϬ ϴϬϬϬ ϵϬϬϬ ϭϬϬϬϬ ϭϭϬϬϬ ϭϮϬϬϬ
ᵹ㊂㪨䋨㫄㪊㪆㫊䋩
࿑⇣ߥࠆ᳓૏ߦ߅ߌࠆH-Q㑐ଥ߆ࠄ᳞߼ߚᵹ
㊂ߩ㗫ᐲಽᏓ
᷹ᤨᦨ㜞᳓૏ߩ10.72 m㧘෸߮ᒰ⹥㜞᳓᷹ⷰߩ⥄⸥
ᦨ㜞᳓૏ߩ12.21 mߦ߅ߌࠆH-Qᑼߦࠃࠆ឵▚ᵹ㊂ߩ
㗫ᐲಽᏓࠍ࿑ߦ␜ߔ㧚
ᵹ㊂᷹ⷰᤨߩᦨ㜞᳓૏ߪ10.72 mߢ޽ࠆ߆ࠄ10.73
mએ਄ߪᄖᝌߣߥࠆ㧚᳓૏10.72 mߩᤨߩᮡḰ஍Ꮕߪ
293m3/sߢ޽ࠆߩߦኻߒ㧘᳓૏12.21 mߩᤨߩᮡḰ஍
Ꮕߪ432m3/sߢ޽ࠅ㧘ᄖᝌߣߥࠆ᳓૏ߢߩ឵▚ᵹ㊂
ߪౝᝌ୯ߣᲧߴߡࡃ࡜ߟ߈߇ᄙߊߥࠆߚ߼㧘࠺࡯࠲
ߩା㗬ᕈߪਅ߇ࠆߎߣ߇ࠊ߆ࠆ㧚ߎࠇߦᲧߴߡ㧘਄
ਅࠍ᷹ⷰ୯ߢߪߐ߹ࠇߚㇱಽߢߪ㧘㕖Ᏹߦࠪࡖ࡯ࡊ
ߥಽᏓߣߥࠆߎߣ߇ࠊ߆ߞߚ㧚
ᬌ⸽ߦ↪޿ߚᵹ㊂᷹ⷰߪࡇ࡯ࠢᤨߦ᷹ⷰ߇ߢ߈ߡ
߅ࠄߕ㧘ࡇ࡯ࠢ᳓૏ߢ޽ࠆ12.21 mߩ឵▚ᵹ㊂ߪᱜ
ⷙಽᏓߢ68%߇฽߹ࠇࠆߣߐࠇࠆᐔဋ୯െɐ㧘ᐔဋ୯
൅ɐߩ▸࿐ߢ8,610m3/s߆ࠄ9,475m3/sߣߥࠆ㧚᷹ⷰ
ߐࠇߚᵹ㊂ߢ૞ᚑߒߚ᳓૏ᵹ㊂ᦛ✢ᑼߢߩࡇ࡯ࠢᤨ
ߩ឵▚ᵹ㊂ߪ9,222m3/sߢ޽ࠆ߇㧘DIEXᴺ߆ࠄ▚಴
ߒߚᵹ㊂ಽᏓ߆ࠄ㧘9,222m3/sએ਄ߣߥࠆ⏕₸߇⚂
34%ߣផቯߐࠇߚ㧚
ᰴߦ㧘࿑ߩ㧣࿁⋡ߣ㧤࿁⋡ߩ㧞ߟߩ᷹ⷰ߇ታ
ᣉߢ߈ߥ߆ߞߚߣ઒ቯߒߚᤨߦ㧘᳓૏ߩ㜞޿ᄖᝌㇱ
ߩࡃ࡜ߟ߈߇ߤ߁ᄌൻߔࠆ߆ߦߟ޿ߡᬌ⸛ߒߚ㧚
㧤࿁ߩ᷹ⷰߔߴߡߦߟ޿ߡᱜⷙੂᢙ߆ࠄ⊒↢ߐߖ
ߚᵹ㊂ߢ૞ᚑߒߚ㧝ਁᧄߩ᳓૏ᵹ㊂ᦛ✢ᑼ߆ࠄ᳞߼
ߚ᳓૏12.21 mᤨߩ឵▚ᵹ㊂ߩᮡḰ஍Ꮕߪ432m3/sߢ
޽ࠆߩߦኻߒ㧘㧝࿁⋡߆ࠄ㧢࿁⋡߹ߢߩ᷹ⷰߩߺߢ
ផቯߒߚ႐วߩᮡḰ஍Ꮕߪ1,005m3/sߢ޽ߞߚ㧔࿑
㧕㧚
Ϭ͘ϭ
Ϭ͘Ϭϵ
ϭ䌾ϴ࿁䈱᷹ⷰ䈎䉌ផቯ
䈚䈢᳓૏ϭϮ͘Ϯϭŵ䈱ᵹ㊂
䈱ಽᏓ
Ϭ͘Ϭϴ
Ϭ͘Ϭϳ
ϭ䌾ϲ࿁䈱᷹ⷰ䈎䉌ផቯ
䈚䈢᳓૏ϭϮ͘Ϯϭŵ䈱ᵹ㊂
䈱ಽᏓ
㗫ᐲ
Ϭ͘Ϭϲ
Ϭ͘Ϭϱ
Ϭ͘Ϭϰ
Ϭ͘Ϭϯ
Ϭ͘ϬϮ
Ϭ͘Ϭϭ
Ϭ
ϰϱϬϬ
ϱϱϬϬ
ϲϱϬϬ
ϳϱϬϬ
ϴϱϬϬ
ϵϱϬϬ ϭϬϱϬϬ ϭϭϱϬϬ ϭϮϱϬϬ ϭϯϱϬϬ ϭϰϱϬϬ
ᵹ㊂㪨䋨㫄㪊㪆㫊䋩
࿑᷹ⷰ࿁ᢙ߇⇣ߥࠆ႐วߩ᳓૏12.21 mߩᵹ㊂
ಽᏓߩᲧセ
ᄖᝌߣߥࠆ▸࿐ߪ㧘೨⠪ߢߪ10.72 mએ਄㧘ᓟ⠪
ߢߪ8.32 mએ਄ߢ޽ࠆߚ߼㧘ߎࠇ߇ᐢߌࠇ߫ᐢ޿߶
ߤ㧘ផቯߐࠇࠆᵹ㊂ߪࡃ࡜ߟߊߎߣ߇ࠊ߆ࠆ㧚ᄖᝌ
ߣߥࠆ▸࿐߇ᐢ޿ߣផቯߐࠇࠆᵹ㊂ߩା㗬ᐲ߇ૐਅ
ߔࠆߎߣߪᒰὼߢ޽ࠆ߇㧘ା㗬ᐲߩૐਅ߇ផቯߩ᏷
ߣߒߡ␜ߐࠇߚ㧚
㧡㧚߅ࠊࠅߦ
ᧄႎ๔ߢߪ㧘ㅢᏱ㧘㧝ߟߩ୯ߢ⴫ߐࠇࠆᵹ㊂᷹ⷰ
୯ࠍ㧘DIEXᴺࠍᵴ↪ߔࠆߎߣߦࠃߞߡ㧝ߟߩᵹ㊂
᷹ⷰ⚿ᨐ߆ࠄⶄᢙߩᵹ㊂᷹ⷰ୯ࠍផቯߒ㧘ᵹ㊂୯ࠍ
⏕₸ࠍᜬߞߚಽᏓߣߒߡ⴫⃻ߔࠆᚻᴺࠍᬌ⸛ߒߚ㧚
‫ޟ‬ᴡᎹ⍾㒐ᛛⴚၮḰ⺞ᩏ✬‫ߣࠆࠃߦޠ‬㧘ᶋሶⷰ
᷹ߦ߅ߌࠆ᷹✢㈩⟎ߪ㧘᳓㕙᏷Oᧂḩߩ႐วߢ߽
ዋߥߊߣ߽㧡᷹✢ᔅⷐߣߒߡ߅ࠅ㧘ੱຬ㈩⟎㧘ࠦࠬ
࠻ߩ㑐ଥ߆ࠄ✕ᕆᴺࠍ૶↪ߔࠆ႐วߢ߽㧘᳓㕙᏷
Oએਅߢߪ㧟᷹✢߇ᔅⷐߢ޽ࠆߣߐࠇߡ޿ࠆ㧚ߎߎ
ߢߪ㧘⏕₸ಽᏓߩᮡḰ஍Ꮕ߆ࠄ㧘㜞᳓ᵹ㊂᷹ⷰߦᔅ
ⷐߥ᷹✢ᢙࠍផቯߔࠆᣇᴺࠍ␜ߒߚ㧚
߹ߚ㧘ਇ⏕ቯᕈࠍ߽ߟᵹ㊂᷹ⷰ⚿ᨐࠍၮߦ᳓૏ᵹ
㊂ᦛ✢ᑼࠍ૞ᚑߒߚ႐ว㧘ᄖᝌߣߥࠆ▸࿐߇ᐢ޿ߣ
ᵹ㊂ߩផቯ⚿ᨐ߇ࡃ࡜ߟߊߎߣࠍౕ૕ߦ␜ߒ㧘ߐࠄ
ߦ㧘᳓૏ᵹ㊂ᦛ✢ᑼߩᄖᝌㇱߩࡃ࡜ߟ߈߇೑↪น⢻
ߥᵹ㊂᷹ⷰ࠺࡯࠲ߦࠃߞߡߤߩࠃ߁ߦᄌࠊࠆ߆ࠍ␜
ߒߚ㧚
਄⸥ߩ⚿⺰ߪ㧘ᢙቇ⊛ߥ෩ኒᕈߦᰳߌࠆߎߣ߽޽
ࠆ߇㧘ߎࠇ߹ߢ㧝ߟߩ୯ߣߒߡᛒࠊࠇߡ߈ߚᵹ㊂ⷰ
᷹ߩ⚿ᨐࠍ㧘޽ࠆ⏕₸ࠍᜬߞߡಽᏓߔࠆ߽ߩߣߒߡ
⹺⼂ߔࠆߎߣߢ㧘᳓ᢥ᷹ⷰ߿ᴡᎹ⸘↹ߦኻߔࠆℂ⸃
߇ᷓ߹ࠆ߽ߩߣ⠨߃ࠄࠇࠆ㧚߹ߚ㧘ᵹ㊂᷹ⷰߩ㜞ᐲ
ᾖᩏߦ߅޿ߡ㧘⇣Ᏹߩ⇼޿ߩ޽ࠆᶋሶᵹㅦ୯ࠍ᫈ළ
ߔࠆ߆ุ߆ߩ್ᢿߦ߽↪޿ࠄࠇࠆ߽ߩߣ⠨߃ߡ޿ࠆ㧚
⻢ㄉ㧦ᧄႎ๔ߩᬌ⸽ߩߚ߼ߦ㧘ߏᢎ᝼޿ߚߛ޿ߚ᧲
੩ℂ⑼ᄢቇੑ↉ᵏ㓶ᢎ᝼ߦኻߒ㧘ߎߎߦ⸥ߒߡ⻢
ᗧࠍ⴫ߔࠆ㧚
ෳ⠨ᢥ₂
1)ᨰ↰ੳ࡮ੑ↉ᵏ㓶࡮㜟᎑⧷ੑ㇢࡮ጊ㦮㓶੺࡮Ꮢጊ⺈㧦
ജቇ⊛ౝᄖᝌᴺ㧔DIEXᴺ㧕ߦၮߠߊ‫ޟ‬ὐ‫ޟࠄ߆ޠ‬㕙‫ޠ‬
ᵹㅦ࠺࡯࠲ផቯᴺߩ᭴▽㧘ᴡᎹᛛⴚ⺰ᢥ㓸㧘╙17Ꮞ㧘
pp.23-28㧘2011
2)ᧁ᳓໪࡮ੑ↉ᵏ㓶࡮ർጊ⑲㘧㧦H-ADCPߣDIEXᴺࠍ↪
޿ߚᴡᎹᵹ㊂⸘᷹ᴺߩᵩ᳓ᵹ᷹ⷰ߳ߩㆡ↪㧦᳓Ꮏቇ⺰
ᢥ㓸㧘╙51Ꮞ㧘 pp.1057-1062㧘2007
3) ੑ ↉ ᵏ 㓶 㧦 ᴡ Ꮉ ᵹ ㊂ ߩ ࡕ ࠾ ࠲ ࡝ ࡦ ࠣ 㧘 ߥ ߇ ࠇ 㧘 29
㧔2010㧕㧘187-192
4)DIEX-Flowver2.0.0 ࡄࠪࡈࠖ࠶ࠢࠦࡦࠨ࡞࠲ࡦ࠷ᩣ
ᑼળ␠࡮᧲੩ℂ⑼ᄢቇ࡮྾⪲ࠪࠬ࠹ࡓ㐿⊒ᩣᑼળ␠
5)ᴡᎹ⍾㒐ᛛⴚၮḰ ⺞ᩏ✬ ᐔᚑ26ᐕ4᦬
6)࿖࿯੤ㅢ⋭ᴡᎹዪ⋙ୃ㧘⁛┙ⴕ᡽ᴺੱ࿯ᧁ⎇ⓥᚲ✬
⪺㧦᳓ᢥ᷹ⷰ㧘
␠ోᣣᧄᑪ⸳ᛛⴚදળ㧘2002
7)ጊ↰ᱜ㧦ਇ⏕ታߥᖱႎߦၮߠߊ࡝ࠬࠢߩ⹏ଔᚻᴺߩឭ
᩺㧘ᐔᚑ26ᐕᐲᴡᎹᖱႎࠪࡦࡐࠫ࠙ࡓ⻠Ṷ㓸㧘2014
8)ਛየᔘᒾ㧦ᴡᎹᵹ㊂᷹ⷰߩ࿖㓙ၮḰ ᶋሶߦࠃࠆ㜞᳓
ᵹⷰࠍਛᔃߦ㧘ᐔᚑ24ᐕᐲᴡᎹᖱႎࠪࡦࡐࠫ࠙ࡓ⻠
Ṷ㓸㧘2012
PROBABILITY DISTRIBUTION EVALUATION
OF A FLOOD DISCHARGE MEASUREMENT
Atsushi MINAMI㧘Minoru KURIKI
Traditionally the output of a discharge measurement has been expressed in a single value. When the
float method is used, multiple float observations are made to compute the volume per unit time at which
water flows through a cross-section. Corresponding the measurement conditions of each float or errors
involved in the measurement, the measured velocity of these floats unavoidably includes variation. To
reflect the variation into the result of a discharge measurement, an attempt was made to apply the DIEX
method to express the result as a value with probability distribution. Using the concept, a numerical
experiment based on actual discharge measurements was conducted to evaluate the variation of
extrapolated range of rating curves.
7-6