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EFFECT OF BREATHABLE-WATERPROOF GEOTEXTILE ON PREVENTION OF THE PORE-AIR BLOW IN RIVER DIKE

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ㄽᩥ Ἑᕝᢏ⾡ㄽᩥ㞟,21,20156

Ἑᕝሐ㜵ࡢ㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺᩜタ࡟ࡼࡿ

㛫㝽✵ẼᄇⓎࡢᢚไຠᯝ

EFFECT OF BREATHABLE-WATERPROOF GEOTEXTILE ON PREVENTION OF THE PORE-AIR BLOW IN RIVER DIKE

⚄㇂ᾈ஧

1

࣭኱ሙᩗኈ

2

࣭ᒣ⏣࿘స

3

࣭▼⏣ṇ฼

4

Kohji KAMIYA, Keishi OHBA, Shusaku YAMADA and Masatoshi ISHIDA 1ṇ఍ဨ ༤ኈᕤ ᒱ㜧኱Ꮫ෸ᩍᤵ ᕤᏛ㒊♫఍ᇶ┙ᕤᏛ⛉ 501-1193 ᒱ㜧ᕷᰗᡞ1-1 2Ꮫ⏕఍ဨ ᒱ㜧኱Ꮫ኱Ꮫ㝔⏕ ኱Ꮫ㝔ᕤᏛ◊✲⛉༤ኈ๓ᮇㄢ⛬ 501-1193 ᒱ㜧ᕷᰗᡞ1-1

3ṇ఍ဨ ኱ᡂᘓタඖ ᒱ㜧኱Ꮫ኱Ꮫ㝔⏕163-0606 ᮾி㒔᪂ᐟ༊す᪂ᐟ1-25-1 4ṇ఍ဨ ኴ㝧ᕤᴗ ᅜᅵ⎔ቃ࢚ࣥࢪࢽ࢔ࣜࣥࢢ࢝ࣥࣃࢽ࣮ 154-0001 ᮾி㒔ୡ⏣㇂༊ụᑼ2-33-16

It has been pointed out that the pore-air blows off from the surface of river dike during heavy rainfall.

It is therefore important to consider the influence of the pore-air blow on the stability of the dike. Based on the laboratory water infiltration experiment in the unsaturated soil column, we found that the pore-air pressure in the soil was generated by the seepage of the water when the air permeability at near the surface was reduced by the rainfall. The pore-air blow occurred due to the larger pore-air pressure. In this paper, the effectiveness of the breathable-waterproof geotextile on prevention of the pore-air blow is experimentally examined. As a result, it is shown that the pore-air blow is prevented in while keeping the air permeability at near the surface by laying the geotextile at the ground surface.

Key Words : Breathable-waterproof geotextile, Pore-air pressure, Air permeability

㸯㸬ࡲ࠼ࡀࡁ

୙㣬࿴࡞Ἑᕝሐ㜵ࡀ㇦㞵᫬࡟ᾐỈࢆཷࡅࡓ࡜ࡁ㸪ሐ㜵 ෆ㒊ࡢ㛫㝽✵Ẽࡀᆅ⾲㠃࠿ࡽᄇⓎࡍࡿ⌧㇟ࡀ☜ㄆࡉࢀ࡚

࠸ࡿ㸬ࡇࡢ⌧㇟ࡣ㸪ᆅ┙࡟ட⿣࡞࡝ࡢᦆയࢆ୚࠼㸪ᾐ㏱

ỈࡢỈࡳࡕࢆᙧᡂࡍࡿ࡞࡝ࡍࡿࡓࡵ㸪Ἑᕝሐ㜵ࡢ୙Ᏻᐃ

໬࡬ࡢ୍ᅉ࡟࡞ࡿࡇ࡜ࡀ⪃࠼ࡽࢀ㸪ࡑࡢᑐ⟇ࡀᚲせ࡛࠶

ࡿ㸬ᚑ᮶ࡢ㐽Ỉࢩ࣮ࢺ࡟ࡼࡿ⾲ࡢࡾ㠃⿕そᕤἲ࡟ᑐẚࡋ

࡚㸪㛫㝽✵ẼࡢᄇⓎ⌧㇟࡟ࡶᑐฎࡍࡿࡓࡵ㸪㝆㞵ࡸἙᕝ ỈࡢᾐỈࢆᢚไࡋ㛫㝽✵Ẽࡢᆅ⾲࠿ࡽࡢ᤼ฟࢆ☜ಖࡍࡿ

ࡓࡵࡢ㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࡢ㐺⏝ࡀ᳨ウࡉࢀ࡚࠸ࡿ1) ,2)㸬 ࡋ࠿ࡋ࡞ࡀࡽ㸪✵ẼᄇⓎᑐ⟇ࢆせࡍࡿሐ㜵ࡢᅵ㉁➼ࡢㅖ ᮲௳ࡸ㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࡢせồᛶ⬟ࡣ᫂☜࡟ࡉࢀ࡚࠸

࡞࠸࡜⪃࠼ࡽࢀࡿ㸬➹⪅ࡽࡣ㸪୙㣬࿴࡞ᶍᆺᆅ┙࡟ࡘ࠸

࡚㸪㖄┤୍ḟඖ᪉ྥ࡛㸪ୖ㠃࠿ࡽேᕤ㝆㞵ࢆᾐỈࡉࡏୗ

㠃࠿ࡽἙᕝỈࢆ᝿ᐃࡋࡓᾐỈࢆࡉࡏࡿ෌⌧ᐇ㦂ࢆᐇ᪋ࡋ ࡓ3)㸬㝆㞵ࡢᾐỈ࡟ࡼࡿᆅ⾲௜㏆ࡢ㏱Ẽᛶపୗࡀⴭࡋ࠸

ᆅ┙࡟ἙᕝỈࡀᛴ⃭࡟ᾐỈࡋࡓ࡜ࡁ㸪㛫㝽✵Ẽࡣᆅ┙ෆ

࡟ᑒධࡉࢀᅽຊࡀ㧗ࡲࡿࡇ࡜㸪✵Ẽᅽຊቑ኱࡟కࡗ࡚ᆅ

⾲௜㏆࡛ࡣᄇⓎࡸட⿣ࡢ◚ቯ⌧㇟࡟⮳ࡿࡇ࡜ࢆㄆࡵࡓ㸬

ࡲࡓ㸪ࢩ࣮ࢺࡢ㏱Ẽ࣭㏱Ỉᛶࡢホ౯ࢆ⾜࠺࡜࡜ࡶ࡟4)

ࢩ࣮ࢺᩜタ࡟ࡼࡿ✵ẼᄇⓎࡢᢚไࡢ᭷ຠᛶࢆ✲᫂ࡋࡓ5)㸬 ࡑࡋ࡚㸪✵ẼᄇⓎࢆᢚไࡍࡿ࡟ࡣ㸪ࢩ࣮ࢺࡢ㏱Ẽಀᩘࢆ

10-4m/s࣮࢜ࢲ࣮௨ୖ࡟☜ಖࡍࡿᚲせᛶ࡞࡝ࡀ᫂ࡽ࠿࡟

࡞ࡗࡓ㸬ࡋ࠿ࡋ࡞ࡀࡽ㸪ᐇ㝿ࡢࢩ࣮ࢺᑐ⟇ᕤࡣ㸪ࢩ࣮ࢺ ࡢຎ໬ࡸᾋࡁୖࡾ㜵Ṇࡢࡓࡵ࡟㸪ࡑࡢୖ㠃࡟そᅵࢆ⾜࠺

ࡇ࡜ࡀከࡃ㸪➹⪅ࡽࡢ᪤ ◊✲4)࡛ࡣࢩ࣮ࢺ࡟そᅵࢆ᪋

ࡋࡓ≧ែ࡛ࡢ㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࡢᛶ⬟ࢆホ౯࡛ࡁ࡚࠸

࡞࠸ࡇ࡜ࡀㄢ㢟࡜ࡋ࡚ᣲࡆࡽࢀࡓ㸬༶ࡕ㸪ࢩ࣮ࢺࡀ㍕Ⲵ ࡉࢀࡓ࡜ࡁࡢࡑࡢ㏱Ẽಀᩘࡢせồᛶ⬟ࡢ☜ಖ࡟ࡘ࠸࡚☜

ㄆࡍࡿᚲせࡀ࠶ࡗࡓ㸬

ᮏㄽᩥ࡛ࡣ㸪㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺᕤἲࡢᐇ⏝໬࡟ྥࡅ

࡚㸪㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࡀそᅵࢆ᝿ᐃࡋࡓ㍕Ⲵᅽࢆཷࡅ ࡓ࡜ࡁ࡟ࡑࡢ㏱Ẽ࣭㏱Ỉᛶ࡟ཬࡰࡍᙳ㡪ࢆᇶ♏ᐇ㦂࡟ࡼ

ࡾ᳨ウࡋࡓ㸬ࡲࡓ㸪୙㣬࿴࡞ᶍᆺᆅ┙ࡢᆅ⾲௜㏆࡟ࢩ࣮

ࢺࢆᩜタࡋࡓ࡜ࡁࡢ㛫㝽✵ẼᅽⓎ⏕࣭ᄇⓎ⌧㇟ࡢᢚไຠ

ᯝ࡟ࡘ࠸᳨࡚ドࡋࡓ㸬

㸰㸬㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࡢ㏱Ẽ࣭㏱Ỉᛶࡢホ౯

㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺ

ࢩ࣮ࢺࡣ㸪ᅗ࡟♧ࡍࡼ࠺࡟㸪㏱Ẽᛶࢆ᭷ࡋࡓ୙㏱Ỉ ㄽᩥ Ἑᕝᢏ⾡ㄽᩥ㞟, ➨21ᕳ, 2015ᖺ6᭶

(2)

ᛶࡢࣇ࢕࣒ࣝ࡜ࡑࡢ୧ഃࢆಖㆤࡍࡿࡓࡵࡢ୙⧊ᕸࡢ୕ᒙ

࠿ࡽ࡞ࡿ㸬෗┿ࡣ㸪ࢩ࣮ࢺ⾲㠃ࡢ୙⧊ᕸࡢ㢧ᚤ㙾෗┿

ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬୙⧊ᕸ࡛ࡣᚤ⣽࡞㛫㝽✵㛫ࡀ」㞧

࡟ᙧᡂࡉࢀ࡚࠸ࡿ㸬ࢩ࣮ࢺࡢཌࡉࡣ L* = 0.3cm࡛࠶ࡾ㸪

࡛ᚋ㏙ࡍࡿࡼ࠺࡟஝⇱≧ែࡢࢩ࣮ࢺࡢ㏱Ẽಀᩘࡣ ka = 4.7 × 10-5m/s㸪㣬࿴≧ែࡢ㏱Ỉಀᩘࡣkw = 0࡛୙㏱Ỉ ᛶ࡛࠶ࡿ㸬ࡋࡓࡀࡗ࡚㸪ࡇࡢࢩ࣮ࢺࢆሐ㜵࡟ᩜタࡋࡓሙ

ྜࡣ㸪ሐ㜵࡬ࡢἙᕝỈ➼ࡢᾐỈᢚไࢆ༑ศ࡟ᮇᚅ࡛ࡁࡿ

ࡀ㸪㏱Ẽᛶࡀప࠸ࡓࡵ࡟ሐ㜵ෆ㒊ࡢ㛫㝽✵Ẽࡢ᤼ฟࢆᢚ ไࡋ࡚㛫㝽✵Ẽᅽࢆቑຍࡉࡏࡿྍ⬟ᛶࡀ࠶ࡿ㸬ࡑࡢࡓࡵ㸪 ᮏ◊✲࡛ࡣ㸪ࢩ࣮ࢺ࡟┤ᚄࡀd = 0.32mmࡢ⣽Ꮝࢆ㛤Ꮝ⋡

n* (%)(ࢩ࣮ࢺࡢ㠃✚1cm2࠶ࡓࡾࡢ⣽Ꮝࡢ㠃✚ࡢ๭ྜ)࡛ ᪂ࡓ࡟タࡅ㸪㏱Ẽᛶࢆྥୖࡉࡏࡓ㸬௨ୗ࡛ࡣ㸪ࢩ࣮ࢺࡣ㸪

㏱Ẽ࣭୙㏱Ỉᛶ࡛ࡣ࡞ࡃ㸪㏱Ẽ࣭㜵Ỉᛶ࡜ࡋ࡚⾲⌧ࡋࡓ㸬 㛤Ꮝ⋡ࡣn* = 0.10%㸪0.16%㸪0.48%㸪0.64%㸪0.97%㸪 1.45%࡜ࡋࡓ㸬ࡑࡋ࡚㸪ḟࡢࡼ࠺࡟㸪㏱Ẽ࣭㜵Ỉᛶࢩ࣮

ࢺࡢ㏱Ẽ࣭㏱Ỉヨ㦂࡟ࡼࡗ࡚㏱Ẽಀᩘka (m/s)࡜㣬࿴㏱Ỉ ಀᩘkw (m/s)ࢆㄪ࡭ࡓ㸬

㏱Ẽヨ㦂

そᅵࢆ᝿ᐃࡋ࡚ࢩ࣮ࢺୖ㠃࡟㍕Ⲵᅽp (kN/m2)ࢆ୚࠼

࡞ࡀࡽ㸪㏱Ẽヨ㦂ࢆ⾜ࡗࡓ㸬ヨ㦂⿦⨨ࡣ㸪ᅗ࡟ࡑࡢᴫ せࢆ♧ࡍࡼ࠺࡟㸪ࢩ࣮ࢺࢆタ⨨ࡍࡿヨᩱᐜჾ(ෆᚄ 100cm)㸪✵Ẽᅽຊㄪ⠇ჾ㸪✵Ẽὶ㔞ィ㸪✵Ẽᅽຊィ㸪㍕

Ⲵᶵჾ㸪Ⲵ㔜ィ㸪ኚ఩ィ࡟ࡼࡗ࡚ᵓᡂࡉࢀ࡚࠸ࡿ㸬

✵Ẽࢥࣥࣉࣞࢵࢧ࣮࠿ࡽ౪⤥ࡉࢀࡿᅽ⦰✵Ẽࢆ✵Ẽᅽ ຊㄪ⠇ჾ࡟ࡼࡗ࡚ᡤᐃࡢ኱ࡁࡉࡢ✵Ẽᅽຊ࡟ㄪ⠇ࡋ࡚ヨ

ᩱᐜჾ࡟㏦Ẽࡋ㸪✵Ẽࢆࢩ࣮ࢺ࡟ᑐࡋ࡚㖄┤ୖྥࡁ࡟㏱

㐣ࡉࡏࡿ㸬ࡑࡢ࡜ࡁ㸪ࢩ࣮ࢺୗ㠃ഃ࡟୚࠼ࡓ✵ẼᅽຊỈ 㢌ha (cm)ࢆ✵Ẽᅽຊィ࡟ࡼࡾ㸪㏱㐣ࡋࡓ✵Ẽࡢὶ㔞Qa

(cm3/s)ࢆ✵Ẽὶ㔞ィ࡟ࡼࡾࡑࢀࡒࢀ ᐃࡍࡿ㸬ࡲࡓ㸪Ⲵ 㔜ィ࡟ࡼࡗ࡚㍕Ⲵᅽp (kN/m2)ࢆィ ࡋ㸪ኚ఩ィ࡟ࡼࡗ࡚

㍕Ⲵࡋࡓ࡜ࡁࡢࢩ࣮ࢺࡢኚ఩㔞į (mm)ࢆィ ࡋࡓ㸬࡞࠾㸪 ࢩ࣮ࢺࡣ㸪෗┿࡟♧ࡍࡼ࠺࡟㸪ࡑࡢእ࿘࡟ప⢓ᗘ࢚࣏

࢟ࢩᶞ⬡ࢆྵᾐࡉࡏ㸪ࢫࢸࣥࣞࢫࣜࣥࢢࢆ᥋╔ࡉࡏ㸪ࡑ

ࢀࢆ⿦⨨࡟タ⨨ࡋ࡚ࢩ࣮ࢺ࿘ᅖ࠿ࡽࡢ₃Ẽ➼ࢆ㜵ࡂ㸪✵

Ẽࡀࢩ࣮ࢺ㖄┤᪉ྥࡢࡳ㏱㐣ࡍࡿࡼ࠺࡟ࡋࡓ㸬௨ୗࡢ ࢩ࣮ࢺ࡟㛵ࡍࡿヨ㦂࡟࠾࠸࡚ࡣ㸪ࡍ࡭࡚ྠᵝࡢฎ⌮ࢆ᪋

ࡋࡓࢩ࣮ࢺࢆ⏝࠸ࡓ㸬ヨ㦂࡛ࡣ㸪஝⇱≧ែ࡜ᾐỈ⬺Ẽࡋ ࡓ‵₶≧ែࡢࢩ࣮ࢺࢆ⏝࠸ࡓ㸬㍕Ⲵᅽࡣ㸪そᅵࡢ࡞࠸࡜

ࡁࡢp = 0࡜㸪そᅵࢆ50cmཌࡉ㸪100cmཌࡉࡢࡑࢀࡒࢀ࡛

᝿ᐃࡋࡓp = 8.9㸪17.8kN/m2࡜ࡋࡓ㸬

ࢩ࣮ࢺࡢ㏱Ẽಀᩘka (m/s)ࡣ㸪ࢲࣝࢩ࣮๎࡟ᚑࡗ࡚㸪ḟ ᘧ(1)࡟ࡼࡗ࡚⟬ฟࡉࢀࡿ6)

a

a a

* a0

/ /

Q A

k h h L

102

˜ (1)

ࡇࡇ࡛㸪A ( = 78.54cm2 )ࡣࢩ࣮ࢺࡢ᩿㠃✚(෗┿ࡢࣜࣥ

ࢢෆࡢࢩ࣮ࢺ㠃✚)㸪L* (cm)ࡣࢩ࣮ࢺࡢཌࡉ㸪ha0 (cm)ࡣ ࢩ࣮ࢺୖ㠃࡛ࡢ✵ẼᅽຊỈ㢌࡛࠶ࡿ㸬㍕Ⲵᅽpࢆ୚࠼ࡓ

0.3cm

୙⧊ᕸ(ࣇ࢕࣒ࣝಖㆤ)

㏱Ẽ࣭୙㏱Ỉࣇ࢕࣒ࣝ

୙⧊ᕸ(ࣇ࢕࣒ࣝಖㆤ) ᅗ ࢩ࣮ࢺ᩿㠃ࡢᶍᘧᅗ

෗┿ ࢩ࣮ࢺ⾲㠃(୙⧊ᕸ)ࡢ㢧ᚤ㙾෗┿

0.1mm

ᅗ ㏱Ẽヨ㦂⿦⨨ࡢᴫせᅗ

ha Qa

p

෗┿ ࢩ࣮ࢺࡢྵᾐฎ⌮ࡢᵝᏊ ࢫࢸࣥࣞࢫࣜࣥࢢ

㏱Ẽ࣭㜵Ỉᛶ ࢩ࣮ࢺ

⤥Ỉഃ

ࣅ䣻 䤀ࣞ

᤼Ỉഃࣅ

䣻䤀ࣞ䣹ࢺ

✵Ẽᅽຊィ ✵Ẽὶ㔞ィ

✵Ẽᅽຊㄪᩚჾ

✵Ẽ

㏱Ẽ࣭㜵Ỉᛶ ࢩ࣮ࢺ

࣏࣮ࣛࢫ ࢫࢺ࣮ࣥ

✵Ẽ ኚ఩ィ

Ⲵ㔜ィ

㍕Ⲵᯈ (ከᏍᯈ)

✵Ẽ ᤼Ẽཱྀ

㍕Ⲵᅽ

(㏱Ỉヨ㦂➼)

ヨᩱᐜ

(3)

᮲௳ୗ࡛ࡢ㏱Ẽヨ㦂࡛ࡣ㸪ᅗ࡟♧ࡍࡼ࠺࡟㸪㍕Ⲵᅽࢆ

኱ࡁࡃࡍࡿ࡜ࢩ࣮ࢺࡢึᮇࡢཌࡉ( L* = 0.3cm )࠿ࡽ᭱኱

࡛75%ࡢཌࡉࡲ࡛ࢩ࣮ࢺࡀᅽ⦰ࡉࢀࡓ㸬ᚑࡗ࡚㸪ᘧ(1)ࢆ

⏝࠸࡚㏱Ẽಀᩘࢆ⟬ฟࡍࡿ࡜ࡁ㸪p = 0࡛ࡣL* = L = 0.3㸪p

= 8.9㸪17.8 kN/m2࡛ࡣL* < 0.3 (ࢩ࣮ࢺࡢึᮇࡢཌࡉ0.3cm

࡟ᑐࡋ࡚㸪ᅗࡢኚ఩㔞ࡼࡾ㍕Ⲵ᫬ࡢࢩ࣮ࢺࡢཌࡉࢆồ

ࡵࡓ࡜ࡁࡢ್)࡜ࡋࡓ㸬࡞࠾㸪ᅗࡢ᤼Ẽཱྀࢆ኱Ẽᅽゎ ᨺࡍࡿࡇ࡜࡟ࡼࡾ㸪ᘧ(1)࡟࠾ࡅࡿha0ࢆࢮࣟ࡜ࡋࡓ㸬

㏱Ỉヨ㦂

㏱Ỉヨ㦂ࡣ㸪ᅗࡢ㏱Ẽヨ㦂⿦⨨ࡢⅬ⥺㒊ศ࡛♧ࡍ⿦

⨨ࡢ᤼Ẽཱྀ࡜✵Ẽὶ㔞ィ᥋⥆⟠ᡤࢆࣅ࣮ࣗࣞࢵࢺ࡟⨨ࡁ

᥮࠼ࡓ࡜ࡁࡢࡶࡢࢆ⏝࠸ࡓ㸬ヨᩱᐜჾ࡟‵₶≧ែࡢࢩ࣮

ࢺࢆタ⨨ࡋࡓᚋ㸪ᐜჾෆࢆ඲࡚Ỉ࡛‶ࡓࡋ㸪⤥Ỉഃ࡜᤼

Ỉഃࡢࣅ࣮ࣗࣞࢵࢺ࡟Ỉ఩ᕪࢆ୚࠼࡚ࢩ࣮ࢺ࡟㖄┤ୗྥ

ࡁ࡟㏱Ỉࡉࡏࡿ㸬㍕Ⲵᅽࡣ㸪㏱Ẽヨ㦂ࡢሙྜ࡜ྠᵝࡢp 0㸪8.9㸪17.8kN/m2࡜ࡋࡓ㸬ࡑࡋ࡚㸪ࣅ࣮ࣗࣞࢵࢺෆࡢ Ỉ఩ࡢ⤒᫬ኚ໬ࡢ ᐃ࡟ᇶ࡙࠸࡚㸪㣬࿴㏱Ỉಀᩘkw

(m/s)ࢆࢲࣝࢩ࣮๎࡟ᚑࡗ࡚ḟᘧ(2)࡟ࡼࡗ࡚⟬ฟࡍࡿ㸬

w 1

2 1 2

*

2.303 log

2 ( )

h k aL

A t t h

102

˜ (2)

ࡇࡇ࡛㸪a (cm2)ࡣࣅ࣮ࣗࣞࢵࢺࡢ᩿㠃✚㸪( t2 - t1 ) (s)ࡣ  ᐃ᫬㛫㸪h1 (cm)ࡣ᫬้t1࡟࠾ࡅࡿࣅ࣮ࣗࣞࢵࢺࡢỈ఩ᕪ㸪 h2 (cm)ࡣ᫬้t2࡟࠾ࡅࡿỈ఩ᕪ࡛࠶ࡿ㸬

㏱Ẽಀᩘ

a) ஝⇱≧ែ࡛ࡢ㏱Ẽಀᩘ

ᅗࡣ㸪㛤Ꮝ⋡n* = 0.64%㸪0.97%㸪1.45%ࡢሙྜ࡟ࡘ

࠸࡚஝⇱ࢩ࣮ࢺ࡟࠾ࡅࡿ✵ẼᅽຊỈ㢌ha࡜✵Ẽὶ㔞Qaࡢ 㛵ಀࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ᅗ୰ࡢ◚⥺ࡢࡼ࠺࡟㸪ࡇࡢ㛵 ಀ࡟ୖグࡢᘧ(1)ࢆࣇ࢕ࢵࢸ࢕ࣥࢢࡉࡏࡿࡇ࡜࡟ࡼࡗ࡚஝

⇱ࢩ࣮ࢺࡢ㏱Ẽಀᩘkaࢆồࡵࡓ㸬

ᅗࡣ㸪㛤Ꮝ⋡n*࡜㏱Ẽಀᩘkaࡢ㛵ಀࢆ♧ࡋࡓࡶࡢ࡛

࠶ࡾ㸪ᚋ㏙ࡢ‵₶ࢩ࣮ࢺࡢሙྜࢆేグࡋࡓ㸬㛤Ꮝ⋡ࡀ኱

ࡁࡃ࡞ࡿ࡯࡝㏱Ẽಀᩘࡣ኱ࡁࡃ࡞ࡿഴྥ࡟࠶ࡿ㸬㍕Ⲵᅽ

ࢆຍ࠼ࡓ࡜ࡁ㸪p = 0ࡢሙྜࡢ㏱Ẽಀᩘ࡜ẚ㍑ࡍࡿ࡜㸪p

= 8.9 kN/m2ࡢ࡜ࡁka್ࡣ6๭࠿ࡽ9๭పୗࡋ㸪p = 17.8 kN/m2ࡢ࡜ࡁ5๭࠿ࡽ8๭పୗࡋ࡚㸪㍕Ⲵᅽࡢቑຍ࡟ࡼࡗ

࡚ࢩ࣮ࢺࡢ㏱Ẽಀᩘࡣపࡃホ౯ࡉࢀࡿ㸬ᅗࡢ◚⥺ࡣ㸪 ḟࡢHagen-Poiseuille๎࡟ᚑࡗࡓḟᘧ(3)࡟ࡼࡿ㛵ಀ7)ࢆ㔜 ࡡྜࡏ࡚♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬

* 2 3

a w a

32 10

k J n d

K

˜ (3)

ࡇࡇ࡛㸪Ȗw (kN/m3)ࡣỈࡢ༢఩య✚㔜㔞㸪Șa (Pa㺃s)ࡣ✵Ẽ ࡢ⢓ᛶಀᩘ࡛࠶ࡿ㸬p = 0࡟࠾࠸࡚ࡣ㸪ᘧ(3)୰ࡢd

0.32mmࢆ௦ධࡋࡓ࡜ࡁࡢ㛵ಀࢆᅗ࡟㔜ࡡྜࢃࡏ࡚♧

ࡋࡓ㸬୍᪉࡛㸪p = 8.9㸪17.8kN/m2࡟࠾࠸࡚ࡣ㸪dࢆ

ࣇ࢕ࢵࢸ࢕ࣥࢢࣃ࣓࣮ࣛࢱ࡜ࡋ࡚᭱ᑠ஧஌ἲ࡟ࡼࡗ࡚ồ

ࡵࡓ࡜ࡇࢁ㸪p = 8.9kN/m2ࡢ࡜ࡁd = 0.24mm㸪p = 17.8kN/m2ࡢ࡜ࡁd = 0.23mm࡛࠶ࡗࡓ㸬㍕Ⲵᅽࡀ኱ࡁࡃ

࡞ࡿ࡯࡝ࢩ࣮ࢺࡢ⣽Ꮝࡀᑠࡉࡃホ౯ࡉࢀ࡚࠸࡚㸪㍕Ⲵࡋ ࡓ࡜ࡁ࡟d ࡀῶᑡࡍࡿࡓࡵ࡟ka್ࡀᑠࡉࡃ࡞ࡿཎᅉ࡜⪃

࠼ࡽࢀࡿ㸬n* = 0.1㹼1.45%ࡢ⠊ᅖ࡛ࡣ㸪㏱Ẽヨ㦂࡟ࡼࡿ

n*kaࡢ㛵ಀࡣ㸪ᘧ(3)࡟ࡼࡿ㛵ಀ࡜࡯ࡰྜ⮴ࡍࡿ㸬༶ࡕ㸪

0 5 10 15 20

0 0.2 0.4 0.6 0.8 1

ኚ఩㔞ț (mm)

㍕Ⲵᅽp(kN/m2) n* = 0.16%

n* = 0.64%

n* = 0.97%

n* = 1.45%

ᅗ ㍕Ⲵᅽ࡜ኚ఩㔞

ᅗ 㛤Ꮝ⋡࡜㏱Ẽಀᩘ

ha-Qa 㛵ಀ (஝⇱ࢩ࣮ࢺ)

0 1 2

10-5 10-4 10-3 10-2 10-1

㏱Ẽಀᩘka (m/s)

㛤Ꮝ⋡ n* (%)

஝⇱ ‵₶

ࠉp = 0kN/m2 p = 8.9kN/m2 p = 17.8kN/m2 ᘧ(3)

㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺ (஝⇱≧ែ) ࡢ㏱Ẽಀᩘࡢ ᐃ್

0 0.1 0.2 0.3 0.4 0.5 0.6

0 100 200

✵ẼᅽຊỈ㢌ࠉha (cm)

✵Ẽὶ㔞Qa (cm3 /s)

ᘧ(1)

 ᐃ್n* = 0.64%

n* = 0.97%

n* = 1.45%

(4)

஝⇱≧ែࡢࢩ࣮ࢺࡢ㏱Ẽಀᩘ࡟ࡣ㸪ࢩ࣮ࢺ⾲㠃ࡢ୙⧊ᕸ ࡢ」㞧࡞㛫㝽ᵓ㐀(෗┿ཧ↷)ࡢᙳ㡪ࡀ⌧ࢀ㞴ࡃ㸪ࡑࡢ

್ࡣ㛤Ꮝ⋡࡜Ꮝᚄ࡟ࡼࡗ࡚㏆ఝⓗ࡟⾲ࡍࡇ࡜ࡀ࡛ࡁࡿ㸬 b) ‵₶≧ែ࡛ࡢ㏱Ẽಀᩘ

ᅗࡢۂ༳ࡣ㸪㛤Ꮝ⋡n* = 0.48%࡟࠾࠸࡚㸪p =

17.8kN/m2ࡢ࡜ࡁࡢ‵₶≧ែࡢࢩ࣮ࢺࡢ✵ẼᅽຊỈ㢌ha

✵Ẽὶ㔞Qaࡢ㛵ಀࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬✵Ẽᅽࡀ10cm

⛬ᗘࡢ࡜ࡁ࡟✵Ẽࡀࢩ࣮ࢺࢆ㏱㐣ࡋጞࡵ㸪✵Ẽᅽࢆᚎࠎ

࡟ቑຍࡉࡏࡿ࡜㸪ᅗ୰ࡢ◚⥺ࡢࡼ࠺࡟ha࡜Qaࡣ࡯ࡰ┤⥺

㛵ಀ࡟࡞ࡿࡇ࡜ࡀᚓࡽࢀࡓ㸬‵₶ࢩ࣮ࢺࡢୖୗ㠃࡛ࡢ✵

Ẽ㏱㐣᫬ࡢ✵ẼᅽຊỈ㢌ᕪࡣ(ha – ha0)࡜ࡳ࡞ࡍࡇ࡜ࡀ࡛

4)㸪ᅗࡢ◚⥺ࡢࡼ࠺࡟㸪ha࡜Qaࡢ┤⥺ⓗ࡞㛵ಀ࡟ᘧ (1)ࢆࣇ࢕ࢵࢸ࢕ࣥࢢࡉࡏࡿࡇ࡜࡟ࡼࡗ࡚㸪‵₶ࢩ࣮ࢺࡢ

㏱Ẽಀᩘkaࢆồࡵࡿࡇ࡜ࡀ࡛ࡁࡿ4)㸬ୖグࡢᅗ࡟ࡣ㸪

‵₶ࢩ࣮ࢺࡢ㛤Ꮝ⋡࡜㏱Ẽಀᩘࡢ㛵ಀࢆ♧ࡋࡓ㸬

‵₶ࢩ࣮ࢺࡢ㏱Ẽಀᩘࡣ㸪஝⇱ࢩ࣮ࢺࡢ1/10⛬ᗘ࡟ప

ୗࡋࡓ㸬ࡇࢀࡣ㸪ࢩ࣮ࢺࢆಖㆤࡍࡿ୙⧊ᕸࡢ㛫㝽ࡀಖỈ ࡋ㸪⣽Ꮝࡢ୍㒊ࢆሰ࠸ࡔࡇ࡜ࡀཎᅉࡔ࡜⪃࠼ࡽࢀࡿ㸬୍

᪉࡛㸪㍕Ⲵᅽࢆຍ࠼ࡓ࡜ࡁ㸪p = 0ࡢሙྜࡢ‵₶ࢩ࣮ࢺࡢ

㏱Ẽಀᩘ࡜ẚ㍑ࡍࡿ࡜㸪p = 8.9 kN/m2ࡢ࡜ࡁka್ࡣ3๭࠿

ࡽ5๭పୗࡋ㸪p = 17.8 kN/m2ࡢ࡜ࡁ2๭࠿ࡽ5๭పୗࡋࡓ㸬

㍕Ⲵᅽࡀຍࢃࡿ࡜୙⧊ᕸࡢ⧄⥔࡟ࡼࡿ㛫㝽ࡀ⊃ࡃ࡞ࡗ࡚

ಖỈᛶࡀ㧗ࡲࡿࡓࡵ㸪✵Ẽὶ࡟ᑐࡍࡿ᢬ᢠࡀ㧗ࡃ࡞ࡿࡇ

࡜࡟ࡼࡿ࡜⪃࠼ࡽࢀࡿ㸬ᅗࡢ‵₶≧ែࡢ㏱Ẽಀᩘ࡜㛤 Ꮝ⋡ࡢ㛵ಀࡣ㸪஝⇱≧ែࡢ㛵ಀ࡜ẚ࡭࡚㸪⣽Ꮝࡢ㛫Ꮝ⋡

࡟ࡼࡿᙳ㡪ࡀ⌧ࢀ㞴ࡃ㸪୙⧊ᕸࡢಖỈᛶࡀᨭ㓄ⓗ࡟ᙳ㡪 ࡍࡿࡢ࡛ࡣ࡞࠸࠿࡜⪃࠼ࡽࢀࡿ㸬

㏱Ỉಀᩘ

ᅗࡣ㸪㏱Ỉヨ㦂࡛ᚓࡽࢀࡓ㛤Ꮝ⋡n*࡜㣬࿴㏱Ỉಀᩘ

kw (m/s)ࡢ㛵ಀࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬㍕Ⲵᅽࢆ୚࠼ࡿ࡜

㣬࿴㏱Ỉಀᩘࡣⱝᖸపୗࡍࡿࡀ㸪࠾࠾ࡴࡡkw = 10-5 m/s⛬ ᗘ࡛࠶ࡾప㏱Ỉᛶࡢ್ࢆ♧ࡋ㸪㛤Ꮝ⋡ࡀ኱ࡁࡃ࡞ࡿ࡯࡝

㧗ࡵ࡟࡞ࡿഴྥ࡟࠶ࡿ㸬

ࢩ࣮ࢺࡢ㜵Ỉᛶ࡟ࡘ࠸࡚ࡣḟࡢ㖄┤୍ḟඖᶍᆺᐇ㦂࡟

ࡼࡗ࡚☜ㄆࡍࡿ㸬

㸱㸬㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺᩜタ࡟ࡼࡿᄇⓎ⌧㇟ᢚไ

᪤ ࡢ◊✲3)࡛ࡣ㸪ୖ㏙ࡋࡓࡼ࠺࡟㸪10-5m/s࣮࢜ࢲ࣮

ࡢ㣬࿴㏱Ỉಀᩘࢆࡶࡘᅵ㉁ᮦᩱࡀ㝆㞵࡜ἙᕝỈࡢᛴ⃭࡞

ᾐỈࢆཷࡅࡓ࡜ࡁ࡟㛫㝽✵ẼࡢᄇⓎ⌧㇟ࡀ⏕ࡌࡿࡇ࡜ࡀ ᚓࡽࢀ㸪ࡇࡢ⌧㇟ࢆᢚไࡍࡿ࡟ࡣ㸪ᾐỈ᫬ࡢࢫ࣒࣮ࢫ࡞

㛫㝽✵Ẽࡢ᤼ฟࡢࡓࡵࡢ10-4m/s࣮࢜ࢲ࣮௨ୖࡢ㏱Ẽಀᩘ

ࡢ⥔ᣢࡀせồࡉࢀࡿ࡜⪃࠼ࡽࢀࡓ㸬௨ୗ࡛ࡣ㸪୙㣬࿴࡞

ᶍᆺᆅ┙࡟ࡘ࠸࡚㸪ࡑࡢ⾲㠃࡟㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࢆᩜ

タࡍࡿࡇ࡜࡟ࡼࡗ࡚㛫㝽✵ẼᄇⓎࡢᢚไࢆ☜ㄆࡋࡓ㸬

ࢩ࣮ࢺᩜタࡋࡓ࡜ࡁࡢᾐỈᐇ㦂 a) ⿦⨨࡜᪉ἲ

ᅗࡣ㸪ᶍᆺᆅ┙ࡢ㖄┤୍ḟඖᾐỈᐇ㦂⿦⨨ࡢᴫせࢆ

♧ࡋࡓࡶࡢ࡛࠶ࡾ㸪ࡑࡢ෗┿ࢆ෗┿࡟♧ࡋࡓ㸬⿦⨨ࡣ㸪 ヨᩱࢆ඘ሸࡍࡿヨᩱ⟶(ෆᚄij15cm㸪㛗ࡉL = 200cmࡢ࢔

ࢡࣜࣝ〇ࡢ෇⟄⟶)㸪ᆅ⾲࠿ࡽ㝆㞵ࢆᾐỈࡉࡏࡿࡓࡵࡢ ᩓỈ⿦⨨㸪ἙᕝỈࢆ᝿ᐃࡋ࡚ヨᩱᒙୗ㒊࠿ࡽᾐỈࡉࡏࡿ

ࡓࡵࡢ㈓Ỉ⟶(ෆᚄij10cm㸪㛗ࡉ200cmࡢ࢔ࢡࣜࣝ〇ࡢ෇

⟄⟶)㸪ヨᩱᒙෆࡢ㣬࿴ᗘSr (%)㸪㛫㝽Ỉᅽuw (kN/m2)㸪 㛫㝽✵Ẽᅽua (kN/m2)ࡢࡑࢀࡒࢀࢆ ᐃࡍࡿࡓࡵࡢỈศ ィ㸪㛫㝽Ỉᅽィ㸪㛫㝽✵Ẽᅽィ࡟ࡼࡗ࡚ᵓᡂࡉࢀ࡚࠸ࡿ㸬

ヨᩱ࡟ࡣ㸪◡◁6ྕ(50%⢏ᚄD50 = 0.337mm)࡜◡◁8ྕ (D50 = 0.099mm㸪㣬࿴㏱Ỉಀᩘkw = 3.0 × 10-5m/s)ࢆ⏝࠸ࡓ㸬

ඛࡎ㸪◡◁8ྕࢆ㛗ࡉL = 150cm࡛඘ሸࡋࡓࡶࡢ(㛫㝽⋡

n = 0.468)ࢆᾐỈ㣬࿴ࡉࡏ㸪㔜ຊ᤼Ỉࢆ⾜ࡗࡓࡶࡢࢆึᮇ

≧ែ࡜ࡋࡓ㸬ࡑࡢᚋ㸪◡◁8ྕ࡟ࡼࡿヨᩱᒙࡢᆅ⾲㠃࡟

㛤Ꮝ⋡n* = 0.1%ࡢ㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࢆࢩࣜࢥ࡛ࣥヨᩱ

⟶࡟᥋╔ࡋ࡚ᩜタࡋ㸪ࡑࡢୖ㠃࡟そᅵࢆ᝿ᐃࡋࡓ◡◁6

ྕ(n = 0.462)ࢆ඘ሸࡋࡓ㸬࡞࠾㸪Ỉศィ㸪㛫㝽Ỉᅽィࡢ ᅗ 㛤Ꮝ⋡࡜㏱Ỉಀᩘ

0 1 2

10-7 10-6 10-5 10-4 10-3

㣬࿴㏱Ỉಀᩘkw (m/s)

㛤Ꮝ⋡ n* (%)

p = 0kN/m2 p = 8.9kN/m2 p = 17.8kN/m2

0 10 20

0 50 100 150

✵ẼᅽຊỈ㢌 ha (cm)

✵Ẽὶ㔞Qa (cm3 /s)

p =17.8kN/m2

ha0 ᘧ(1)

n* = 0.48%

ha-Qa㛵ಀ (‵₶ࢩ࣮ࢺ)

(5)

ࡑࢀࡒࢀࡣ㸪◡◁6ྕࡢヨᩱᒙࡢᗏ㠃࠿ࡽ5cmࡢ㧗ࡉ࡜㸪

◡◁8ྕࡢヨᩱᒙࡢ⾲㠃࠿ࡽࡢ῝ࡉz = 5㸪45cmࡢ3⟠ᡤ࡟㸪 㛫㝽✵Ẽᅽィࡣ◡◁8ྕࡢz = 5㸪15㸪45cmࡢ3⟠ᡤ࡟ࡑࢀ

ࡒࢀタ⨨ࡋࡓ㸬ࡑࡋ࡚㸪㝆㞵㔞R = 80mm/hr࡛ᩓỈࡋ㸪

◡◁6ྕࡢヨᩱᒙෆ࡟タ⨨ࡋࡓỈศィ࡟㝆㞵ᾐỈࡢᾐ₶

㠃ࡀ฿㐩ࡋࡓ࡜ࡁ㸪㈓Ỉ⟶ࡢỈ఩ࢆỈ఩ୖ᪼㏿ᗘvH =

100cm/hr࡛ୖ᪼ࡉࡏࡿࡇ࡜࡛ᆅ┙ୗ㒊࠿ࡽᾐỈࢆ㛤ጞࡋ

ࡓ㸬࡞࠾㸪ᾐỈᐇ㦂࡛ࡣ㸪ࢩ࣮ࢺୖ㠃࡟㝆㞵ᾐ㏱Ỉࡀ㐩 ࡋࡓ࡜ࡁ㸪‣ỈࢆⓎ⏕ࡉࡏ࡞࠸ࡓࡵヨᩱ⟶ࡢ୍㒊࡟᤼Ỉ

⟠ᡤࢆタ⨨ࡋࡓ㸬ࡲࡓ㸪㈓Ỉ⟶ෆࡢỈ఩ࡀ◡◁8ྕࡢヨ

ᩱᒙࡢᆅ⾲㠃࡜ྠࡌ㧗ࡉ(ヨᩱᒙᗏ㠃࠿ࡽ150cm㧗ࡉ)࡟

㐩ࡋࡓ࡜ࡁ࡟ᐇ㦂ࢆ⤊஢ࡋࡓ㸬 b) ࢩ࣮ࢺࡢ㏱Ẽ࣭㜵Ỉᛶ

ᅗࡣ㸪ᾐỈ࡟క࠺ヨᩱᒙࡢ㣬࿴ᗘSr㸪㛫㝽Ỉᅽuw㸪 㛫㝽✵Ẽᅽuaࡢ⤒᫬ኚ໬ࢆࡑࢀࡒࢀ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬 㝆㞵࡟ࡼࡗ࡚ᆅ⾲௜㏆(z = 5cm)ࡢ㣬࿴ᗘࡣึᮇ≧ែ࠿ࡽ

ኚ໬ࡋ࡞࠸ࡓࡵ㸪ࢩ࣮ࢺࡀ㝆㞵ࡢᾐỈࢆᢚไࡋࡓ࡜⪃࠼

ࡽࢀࡿ㸬୍᪉㸪ୗ㒊࠿ࡽࡢᾐỈࢆ㛤ጞࡋ࡚ヨᩱᒙෆࡢ㛫 㝽✵Ẽࡢ᤼ฟ㐣⛬࡟⮳ࡗ࡚ࡶ㸪㛫㝽✵Ẽᅽィ࡟࠾࠸࡚ᅽ ຊࡢቑ኱ࡣ☜ㄆࡉࢀ࡞࠿ࡗࡓࡓࡵ㸪ࢩ࣮ࢺࡢᩜタ࡟ࡼࡗ

࡚ᆅ⾲ࡢ㏱Ẽᛶࡀ☜ಖࡉࢀ㸪㛫㝽✵Ẽࡀࢫ࣒࣮ࢫ࡟᤼ฟ ࡋࡓ࡜⪃࠼ࡽࢀࡿ㸬

ࢩ࣮ࢺᩜタࡋ࡞࠸ሙྜࡢᾐỈᐇ㦂 a) ⿦⨨࡜᪉ἲ

ᅗࡢ⿦⨨࡟࠾࠸࡚㸪ୖ㏙ࡢࢩ࣮ࢺᩜタ᫬ࡢᾐỈᐇ㦂

⤊஢ᚋ࡟㸪ࢩ࣮ࢺ࡜◡◁6ྕࢆ㝖ཤࡋ࡚◡◁8ྕࡢࡳ࡟ࡋ ࡓ≧ែ࡛㸪෌ᗘ㔜ຊ᤼Ỉࡉࡏ㣬࿴ᗘศᕸࢆᖹ⾮≧ែ࡟ࡋ ࡓ㸬ࡑࡋ࡚㸪ࡑࢀࢆึᮇ≧ែ࡜ࡋࡓ࡜ࡁࡢୖ㏙࡜ྠࡌ㝆 㞵➼ࡢ᮲௳ୗ࡛ࡢᾐỈᐇ㦂ࢆ⾜ࡗࡓ㸬

b) 㛫㝽✵ẼᅽࡢⓎ⏕

ᅗࡢࢩ࣮ࢺࢆᩜタࡋ࡞࠸ሙྜ࡛ࡣ㸪z = 5cm࡟࠾࠸

࡚㸪㝆㞵ᾐỈ࡟ࡼࡗ࡚㣬࿴ᗘࡀ80%⛬ᗘࡲ࡛ୖ᪼ࡍࡿ㸬 㛫㝽✵Ẽᅽࡣ㸪ୗ㒊ᾐỈ㛤ጞࡼࡾ20ศ⛬ᗘ⤒㐣ࡋ㸪ᆅ⾲

㠃௜㏆ࡢ㣬࿴ᗘࡀ༑ศ࡟㧗ࡃ࡞ࡗࡓ࡜ࡁ࡟z = 45cm࡛

ᚎࠎ࡟ୖ᪼ࡋጞࡵ㸪᭦࡟35ศ⤒㐣ᚋ࡟㛫㝽✵Ẽᅽua =

5kN/m2⛬ᗘ࡟㐩ࡋ㸪ᆅ⾲࡛㛫㝽✵ẼࡢᄇⓎ⌧㇟࡜ᆅ⾲௜

㏆࡛ட⿣ࡢⓎ⏕(෗┿)ࡀほᐹࡉࢀࡓ㸬㛫㝽✵ẼᅽⓎ⏕

࡟క࠺ᆅ┙ࡢኚ≧ࡣ㸪ึᮇẁ㝵࡛ࡣᆅ⾲㠃௜㏆ࡢ⠊ᅖ࡛

ᅵ⢏Ꮚࡢὶື໬ࡀ⏕ࡌ࡚࠸ࡓࡀ㸪᫬㛫ࡢ⤒㐣࡟కࡗ࡚z

= 5cm௜㏆࡛኱ࡁ࡞ட⿣࡟Ⓨ㐩ࡋࡓ㸬ࡇࡢࡼ࠺࡟㸪ࢩ࣮

ࢺᩜタࡋ࡞࠸ሙྜ࡟ࡣ㸪㛫㝽✵ẼࡢᄇⓎ⌧㇟ࡀⓎ⏕ࡍࡿ

ࡇ࡜ࡀ☜ㄆࡉࢀࡓࡀ㸪ୖ㏙㸬ࡢࡼ࠺࡟ࢩ࣮ࢺᩜタ࡟

ࡼࡗ࡚ᄇⓎ⌧㇟ࡀᢚไࡉࢀࡿࡇ࡜ࡀ᳨ドࡉࢀࡓ㸬

㸲㸬࠶࡜ࡀࡁ

ᮏㄽᩥ࡛ࡣ㸪Ἑᕝሐ㜵ࡢᾐỈ᫬ࡢ㛫㝽✵ẼࡢᄇⓎ⌧㇟

ࢆᢚไࡍࡿ㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࡢ㏱Ẽ࣭㏱Ỉᛶࢆㄪ࡭ࡿ

࡜࡜ࡶ࡟㸪୙㣬࿴࡞ᶍᆺᆅ┙ࡢᾐỈᐇ㦂࡟ᇶ࡙ࡁ㸪ࡑࡢ ᅗ ᶍᆺᆅ┙ᾐỈᐇ㦂⿦⨨ࡢᴫせᅗ

༢఩㸸FP

㈓Ỉ⟶

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ᐃὶ㔞࣏ࣥࣉ

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ᩓỈ⿦⨨

㛫㝽Ỉᅽィ ( 3⟠ᡤ)

◡◁ྕ

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㏱Ẽ࣭㜵Ỉᛶ ࢩ࣮ࢺ Ỉศィ

(⟠ᡤ)

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㛫㝽✵Ẽᅽィ ( 3⟠ᡤ)

෗┿ ᶍᆺᆅ┙ᾐỈᐇ㦂⿦⨨

㛫㝽Ỉᅽィ 㛫㝽✵Ẽᅽィ

◡◁6ྕ

ࡢヨᩱᒙ

㏱Ẽ࣭㜵Ỉᛶ ࢩ࣮ࢺ

◡◁8 ࡢヨᩱᒙ ᩓỈ⿦⨨

(6)

ࢩ࣮ࢺࡢຠᯝࢆ⪃ᐹࡋࡓ㸬㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࡣ㸪そᅵ

࡟ࡼࡗ࡚㍕Ⲵࡉࢀࡓሙྜ࡛ࡶ㸪஝⇱᫬࡛10-3m/s࣮࢜ࢲ࣮

௨ୖࡢ㏱Ẽಀᩘ㸪‵₶᫬࡛10-4m/s௨ୖࡢ㏱Ẽಀᩘࢆ☜ಖ

࡛ࡁࡓ㸬୍᪉࡛㸪ࡑࡢࢩ࣮ࢺࡢ㣬࿴㏱Ỉಀᩘࡣ10-5m/s⛬ ᗘ࡛࠶ࡗࡓ㸬ࡑࡋ࡚㸪ᄇⓎ⌧㇟ࡀ⏕ࡌࡿ஦౛࡟ࡘ࠸࡚㸪

ྠࡌᶍᆺᆅ┙ࡢᆅ⾲௜㏆࡟㏱Ẽ࣭㜵Ỉᛶࢩ࣮ࢺࢆᩜタࡋ

࡚㝆㞵࡜ἙᕝỈ࡟ࡼࡿᾐỈᐇ㦂ࢆᐇ᪋ࡋࡓ⤖ᯝ㸪ᾐỈ᫬

࡟㛫㝽✵Ẽࡀᆅ⾲࠿ࡽࢫ࣒࣮ࢫ࡟᤼ฟࡍࡿࡓࡵ࡟㛫㝽✵

ẼᅽⓎ⏕ࡸ◚ቯ⌧㇟ࢆゎᾘ࡛ࡁࡿࡇ࡜ࡀ᳨ドࡉࢀࡓ㸬

ㅰ㎡㸸ᮏ◊✲ࡣ㸪JSPS⛉◊㈝25420500ࡢຓᡂࢆཷࡅࡓ㸬

ࡲࡓ㸪(බ㈈)Ἑᕝ㈈ᅋࡢᖹᡂ26ᖺᗘἙᕝᩚഛᇶ㔠ࡢຓᡂ

ࢆཷࡅࡓ㸬㛵ಀྛ఩࡟ㅰពࢆ⾲ࡍࡿ㸬

ཧ⪃ᩥ⊩

1)๓⏣೺୍㸪ᰘ⏣ ㈼㸪㤿ሙᖸඣ㸪ᑠᯘ ๛㸪ᯠᑿᏕஅ㸪ᑿ⏿

ຌ㸸ᶍᨃሐ㜵ᅵᵴᐇ㦂࡟ࡼࡿ࢚࢔ࣈ࣮ࣟࡢ☜ㄆ࡜ᩘ್ゎᯒ㸪 Ἑᕝᢏ⾡ㄽᩥ㞟㸪Vol.18㸪pp.305-310㸪2012.

2)๓⏣೺୍㸪ᮡ஭ಇኵ㸪ᱝᑿᏕஅ㸪ᑠᯘ ๛㸪⮻⏣ᩥ᫛㸪㯮⏣

ⱥఙ㸪ᰘ⏣ ㈼㸪㰺⸨ ၨ㸸ᐇἙᕝሐ㜵࡟࠾ࡅࡿ㇦㞵ᑐ⟇࡜

ࡋ࡚ࡢ㏱Ẽ㐽Ỉࢩ࣮ࢺࡢタ⨨ຠᯝ㸪ࢪ࢜ࢩࣥࢭࢸ࢕ࢵࢡࢫㄽ

ᩥ㞟㸪Vol.28㸪pp.31-36㸪2013.

3)⚄㇂ᾈ஧㸪኱ሙᩗኈ㸪ᒣ⏣࿘స㸸Ἑᕝሐ㜵ࡢᾐỈ࡟క࠺㛫㝽

✵ẼᅽⓎ⏕࡜ࡑࢀ࡟ࡼࡿ◚ቯ⌧㇟࡟㛵ࡍࡿᐇ㦂ⓗ⪃ᐹ㸪Ἑᕝ ᢏ⾡ㄽᩥ㞟㸪Vol.20pp.473-4782014.

4))⚄㇂ᾈ஧㸪▼⏣ṇ฼㸪㧗ᮌⱥ▱㸸㛫㝽✵Ẽሢ࡟ࡼࡿሐ㜵ࡢ

࢚࢔ࣈ࣮ࣟ㜵Ṇᑐ⟇ᕤࡢᇶ♏ᐇ㦂㸪Ἑᕝᢏ⾡ㄽᩥ㞟㸪Vol.18 pp.311-314㸪2012.

5)⚄㇂ᾈ஧㸪ᒣ⏣࿘స㸪▼⏣ṇ฼㸸Ἑᕝሐ㜵ࡢᾐỈ᫬ࡢ㛫㝽✵

ẼᅽⓎ⏕ࢆᢚไࡍࡿࢩ࣮ࢺᑐ⟇ᕤ࡟㛵ࡍࡿᐇ㦂ⓗ⪃ᐹ㸪ࢪ࢜

ࢩࣥࢭࢸ࢕ࢵࢡࢫㄽᩥ㞟㸪Vol.28pp.17-222013.

6)Ᏹ㔝ᑦ㞝㸪ᮡ஭ಇኵ㸪⚄㇂ᾈ஧㸸ẚ⾲㠃✚ ᐃ࡟ᇶ࡙ࡃᅵ⢏

Ꮚ≀ᛶ࡜㏱Ẽᛶ࣭㏱Ỉᛶࡢ⪃ᐹ㸪ᅵᮌᏛ఍ㄽᩥ㞟㸪No.469/

Ϫ-23㸪pp.25-34㸪1993.

7) Bear, J. : Dynamics of Fluids in Porous Media, American Elsevier Publ. Co., pp.162-163, 1972.

㸦ཷ௜㸧 ᅗ 㣬࿴ᗘ㸪㛫㝽Ỉᅽ࣭✵Ẽᅽ(ࢩ࣮ࢺᩜタ࠶ࡾ)

0 20 40 60 80 100

ୗ 㒊 ᾐ Ỉ 㛤 ጞ ᐇ 㦂 ⤊ ஢

㣬࿴ᗘSr (%)

そ ᅵ(◡ ◁6ྕ ෆ)

z = 5cm z = 45cm

そ ᅵ(◡ ◁6ྕ ෆ)

z = 45cm z = 5cm

z = 5cm15cm45cm

-15 -10 -5 0 5

㛫㝽Ỉᅽuw (kN/m2 )

0 60 120 180

0 5 10

㛫㝽✵Ẽᅽua (kN/m2 )

᫬㛫t (min)

ᅗ 㣬࿴ᗘ㸪㛫㝽Ỉᅽ࣭✵Ẽᅽ(ࢩ࣮ࢺᩜタ࡞ࡋ) 0

20 40 60 80 100

ୗ 㒊 ᾐ Ỉ 㛤 ጞ ᐇ 㦂 ⤊ ஢

㣬࿴ᗘSr (%)

z = 5cm

z = 45cm

z = 5cm

-15 -10 -5 0 5

㛫㝽Ỉᅽuw (kN/m2 )

z = 45cm

z = 5㸪15cm z = 45cm ᄇ Ⓨ 㸪 ட ⿣ Ⓨ ⏕

0 60 120 180

0 5 10

㛫㝽✵Ẽᅽua (kN/m2 )

᫬㛫 t (min)

‣ Ỉ Ⓨ ⏕

෗┿ 㛫㝽✵ẼᅽⓎ⏕࡟ࡼࡿᆅ┙ኚ≧

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