掘削底地盤のリバウンド変位に伴う周辺地盤の変状に関する解析的検討

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ᮾᛴᘓタᢏ⾡◊✲ᡤሗ No.41 U.D.C 624.15.152.2

᥀๐ᗏᆅ┙ࡢࣜࣂ࢘ࣥࢻኚ఩࡟క࠺࿘㎶ᆅ┙ࡢኚ≧

࡟㛵ࡍࡿゎᯒⓗ᳨ウ

ᙇ ፾

㸨

_{ྂᇉෆ 㟹}

㸨

_{୰ἑ ᴁኴ}

㸨せ ⣙㸸㕲㐨࡞࡝ࡀ㏆᥋ࡋࡓ῝࠸ᆅ┙᥀๐ࢆక࠺ᘓタᕤ஦࡛ࡣ㸪᥀๐ᗏ௨῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻኚᙧࡀ㏆᥋ᑐ㇟≀࡟୚࠼ࡿᙳ㡪ࢆ஦๓ ࡟ホ౯ࡍࡿᚲせࡀ࠶ࡿࠋࡋ࠿ࡋ࡞ࡀࡽ㸪㌾ᙅᆅ┙ࡀཌࡃሁ✚ࡋ㸪࠿ࡘ㸪㌾ᙅᆅ┙࡟ᗋ௜ࡅࡿሙྜ࡟࠾ࡅࡿᐇ ஦౛ࡸ᳨ウ஦౛ ࡣ࡯࡜ࢇ࡝࡞࠸ࠋᮏሗ࡛ࡣ㸪ὸ㒊ࢆ㌾ᙅ࡟ࡋࡓ஧ᒙᆅ┙ࡢ୕ḟඖ FEM ゎᯒࣔࢹࣝ࡟ࡼࡾ㸪ᆅᒙቃ⏺῝ᗘ࠾ࡼࡧ㌾ᙅᒙࡢ࣏࢔ ࢯࣥẚࢆࣃ࣓࣮ࣛࢱ࡜ࡋࡓᙎᛶゎᯒࢆᐇ᪋ࡋ㸪᥀๐ᗏ௨῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻኚᙧࡀ࿘㎶ᆅ┙㸦ᆅ⾲㠃࠾ࡼࡧᆅ୰㒊㸧࡟୚࠼ࡿ ᙳ㡪ࢆᐃᛶⓗ࡟⪃ᐹࡋࡓࠋࡑࡢ⤖ᯝ㸪◳㉁ᒙࡢኳ➃ࣞ࣋ࣝࡀ᥀๐ᗏᗋ௜ࡅࣞ࣋ࣝࡼࡾࡶ࠿࡞ࡾ῝࠸ሙྜ㸪࿘㎶ᆅ┙࡟࠾࠸࡚㖄 ┤ኚ఩࡟ຍ࠼࡚㸪ᆅ୰㒊࡛Ỉᖹኚ఩ࡀ኱ࡁࡃⓎ⏕ࡍࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋࡲࡓ㸪≉࡟㸪㌾ᙅᆅ┙ࡀ⢓ᛶᅵ⣔࡛࣏࢔ࢯࣥẚࡀ኱ࡁ ࠸ሙྜ࡟ࡣ㸪ᆅ୰㒊ࡢỈᖹኚ఩ࡀ኱ࡁࡃ࡞ࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋᕤ஦ィ⏬࡟㝿ࡋ࡚ࡣࡇࡢⅬ࡟␃ពࡍࡿᚲせࡀ࠶ࡿ࡜⪃࠼ࡿࠋ 㺕㺎㺺㺎㺢㺼㸸 ᥀๐㸪ࣜࣂ࢘ࣥࢻ㸪㌾ᙅᆅ┙㸪㏆᥋᪋ᕤ㸪࣏࢔ࢯࣥẚ㸪ゎᯒ ┠ ḟ㸸 ࡣࡌࡵ࡟ FEM ゎᯒࡢ⤖ᯝ FEM ゎᯒࡢᴫせ࠾ࡼࡧࣃ࣓࣮ࣛࢱ ࡲ࡜ࡵ ࡣࡌࡵ࡟ ㏆ᖺࡢ㒔ᕷ㒊࡟࠾ࡅࡿᘓ⠏ᕤ஦࡛ࡣ㸪ᆅୗ✵㛫ࡢ᭷ຠά ⏝ࢆ┠ⓗ࡜ࡋ࡚㸪㌾ᙅᆅ┙ࡀཌࡃሁ✚ࡍࡿᆅᇦ࡛࠶ࡗ࡚ࡶ㸪 ῝࠸ᆅ┙᥀๐ࢆక࠸㸪࠿ࡘ㸪㌾ᙅᆅ┙࡟ᗋ௜ࡅࡍࡿሙྜࡀ ᑡ࡞ࡃ࡞࠸ࠋ㕲㐨➼ࡀ㏆᥋ࡍࡿሙྜ࡟ࡣ㸪᥀๐ᗏ௨῝ᆅ┙ ࡢࣜࣂ࢘ࣥࢻኚᙧ࡟ࡼࡿ㏆᥋ᑐ㇟≀࡬ࡢᙳ㡪ࡀᠱᛕࡉࢀ ࡿࡀ㸪ࡇࡢࡼ࠺࡞᮲௳ୗ࡟࠾ࡅࡿࣜࣂ࢘ࣥࢻኚᙧࡢᐇ ஦ ౛ࡸゎᯒ᳨ウ஦౛ࡣ࡯࡜ࢇ࡝࡞࠸ࠋ ᮏሗ࡛ࡣ㸪ὸ㒊ࢆ㌾ᙅᒙ࡟ࡋࡓ஧ᒙᆅ┙ࡢ୕ḟඖ FEM ゎᯒࣔࢹࣝ࡟ࡼࡾ㸪ᆅᒙቃ⏺῝ᗘ࠾ࡼࡧ㌾ᙅᒙࡢ࣏࢔ࢯࣥ ẚࢆࣃ࣓࣮ࣛࢱ࡜ࡋࡓᙎᛶゎᯒࢆᐇ᪋ࡋ㸪᥀๐ᗏ௨῝ᆅ┙ ࡢࣜࣂ࢘ࣥࢻኚᙧࡀ࿘㎶ᆅ┙㸦ᆅ⾲㠃࠾ࡼࡧᆅ୰㒊㸧࡟୚ ࠼ࡿᙳ㡪ࢆᐃᛶⓗ࡟⪃ᐹࡋࡓࠋ FEM ゎᯒࡢᴫせ࠾ࡼࡧࣃ࣓࣮ࣛࢱ ᅗ㸯࡟㸪FEM ゎᯒࣔࢹࣝࢆ♧ࡍࠋᮏࣔࢹࣝࡣ㸪ᑐ⛠᮲ ௳ࢆ஧㠃࡟㐺⏝ࡋࡓ 1/4 ࣔࢹ࡛ࣝ࠶ࡾ㸪᥀๐᏶஢≧ែࡢᆅ ┙ࡢࡳࢆࢯࣜࢵࢻせ⣲࡛ࣔࢹࣝ໬ࡋࡓࠋ࡞࠾㸪ᮏㄽ࡛ࡣᮏ ࣔࢹࣝࡢኳ➃ࢆ GL±0m ࡜ᐃ⩏ࡍࡿࠋ᥀๐ᖹ㠃ࡣ 26m 58m㸦⣙ 1㸸2㸧㸪᥀๐῝ࡉࡣ 15m ࡜ࡋ㸪᥀๐ᗏ㠃࡟ࡣ᤼ᅵ 㔜㔞࡟┦ᙜࡍࡿ 270kN/m2_{㸦௬ᐃ㸸༢఩య✚㔜㔞 18kN/m}3_㸧 ࢆୖྥࡁ࡟స⏝ࡉࡏࡓࠋᮏࣔࢹࣝࡢഃ㠃࠾ࡼࡧᗏ㠃ࡢቃ⏺ ᮲௳ࡣ㸪࠸ࡎࢀࡶྛ㠃ࡢ┤⾜᪉ྥ࡬ࡢኚ఩ࢆᣊ᮰ࡋࡓ࣮ࣟ ࣮ࣛቃ⏺࡜ࡋ㸪ࡑࢀࡒࢀ᥀๐እ࿘㒊࠾ࡼࡧ᥀๐ᗏ㠃࠿ࡽ᥀ ๐▷㎶ᖜࡢ 2 ಸࡢ఩⨨࡟タࡅࡓࠋࡲࡓ㸪᥀๐እ࿘㒊ഃ㠃ࡢ ┤⾜᪉ྥ࡬ࡢኚ఩ࢆᣊ᮰ࡋࡓࠋ ⾲㸯࡟ࡣᆅ┙ᐃᩘࢆ♧ࡍࠋᆅ┙ࡣ஧ᒙᆅ┙࡜ࡋ㸪ὸ㒊㌾ ᙅᒙࡣࣖࣥࢢ⋡ E=1.2×105_kN/m2_{࡜ࡋ㸪῝㒊◳㉁ᒙࡣࣖࣥ} ࢢ⋡ E=1.4×106_kN/m2_{㸪࣏࢔ࢯࣥẚ}_{Ȟ=0.20 ࡜ࡋࡓࠋ࡞࠾㸪} ᐇ⌧ሙ࡟࠾࠸࡚᥀๐ᗏ㏆ഐᆅ┙ࡣ㸪ࡦࡎࡳࣞ࣋ࣝ࡟౫Ꮡࡋ ࡚๛ᛶࡀపୗࡍࡿ࡜⪃࠼ࡽࢀࡿࡀ㸪ᮏゎᯒ࡛ࡣࡑࡢᙳ㡪ࢆ ⪃៖ࡋ࡚࠸࡞࠸ࠋ ᢏ⾡◊✲ᡤᇶ♏࣭ᵓ㐀ࢢ࣮ࣝࣉ ᅗ㸯 FEM ゎᯒࣔࢹࣝ * 技術研究所基礎・構造グループ U.D.C 624.15.152.2

掘削底地盤のリバウンド変位に伴う周辺地盤の変状

に関する解析的検討

張媛

＊

古垣内靖

＊

中沢楓太

＊ 49 東急建設技術研究所報No.41 東急建設技術研究所報No.41

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⾲㸰࡟ࡣ㸪ゎᯒࣃ࣓࣮ࣛࢱ࡜ࡋࡓᆅᒙቃ⏺῝ᗘ࠾ࡼࡧ ὸ㒊㌾ᙅᒙࡢ࣏࢔ࢯࣥẚࢆ♧ࡍࠋᆅᒙቃ⏺῝ᗘࡣ㸪GL-10m 㸦᥀๐ᗏࡼࡾࡶὸ࠸ሙྜ㸧㸪GL-20m㸦᥀๐ᗏࡼࡾࡶࡸࡸ῝ ࠸ሙྜ㸧࠾ࡼࡧ GL-35m㸦᥀๐ᗏࡼࡾࡶ࠿࡞ࡾ῝࠸ሙྜ㸧 ࡜ࡋࡓࠋࡲࡓ㸪㌾ᙅᒙࡢ࣏࢔ࢯࣥẚࡣ㸪Ȟ=0.30㸦◁㉁ᅵ⣔ ᆅ┙㸧࠾ࡼࡧȞ=0.45㸦⢓ᛶᅵ⣔ᆅ┙㸧࡜ࡋࡓࠋゎᯒࡣᙎᛶ ゎᯒ࡜ࡋ㸪ࡇࢀࡽࢆ⤌ྜࡏࡓ 6 ࢣ࣮ࢫ࡟ࡘ࠸࡚ᐇ᪋ࡋࡓࠋ ࡞࠾㸪ᮏㄽ࡛ࡣゎᯒࣔࢹࣝྡࡣ㸪ࠕ㌾ᙅᒙࡢ࣏࢔ࢯࣥẚࠖ ࠕᆅᒙቃ⏺ࣞ࣋ࣝࠖ࡜⾲グࡍࡿࠋ )(0 ゎᯒࡢ⤖ᯝ ᅗ㸰࡟㸪௦⾲ⓗ࡞ゎᯒ⤖ᯝ࡜ࡋ࡚ 0.45-35 ࣔࢹࣝࡢ XYZ ᪉ྥኚ఩ࢆྜᡂࡋࡓኚ఩ࢥࣥࢱ࣮ࢆ♧ࡍࠋࡲࡓ㸪⾲㸱࡟㸪 ྛࣔࢹࣝ࡟࠾ࡅࡿ᥀๐୰ኸ㒊㸦ᅗ㸯୰ࡢ A ఩⨨㸧ࡢ㖄┤ ኚ఩㸦௨ୗ㸪ࣜࣂ࢘ࣥࢻኚ఩㸧ࢆ♧ࡍࠋ ᅗ㸱㸦㸯㸧࡟ࡣ㸪0.45-10 ࠾ࡼࡧ 0.45-35 ࣔࢹࣝ࡟࠾ࡅࡿ ᥀๐እ࿘㒊࠿ࡽ 2m 㞳ࢀࡓᅗ㸯୰ࡢ S-2 ࠾ࡼࡧ L-2 ఩⨨ࡢ 㖄┤࠾ࡼࡧ᥀๐ഃ࡬ࡢỈᖹኚ఩ࡢ῝ᗘศᕸࢆ♧ࡍࠋ ᥀๐ᗏ௨῝ࡀ◳㉁ᒙ࡛࠶ࡿ 0.45-10 ࣔࢹࣝࡢ㖄┤ኚ఩ ࡣ㸪ࡑࢀࡒࢀゎᯒࣔࢹࣝࡢᗏ㠃࠿ࡽ᥀๐ᗏ῝ᗘࡲ࡛࡯ࡰ┤ ⥺ⓗ࡞ኚ఩ศᕸ࡜࡞ࡗ࡚࠸ࡿࠋࡑࢀࡒࢀ᥀๐ᗏ῝ᗘࡼࡾࡶ +25.7 +0.0 㸦mm㸧 X Z Y ᅗ㸰 XYZ ᪉ྥࡢྜᡂኚ఩ᅗ㸦0.45-35 ࣔࢹࣝ㸧⾲㸯 ᆅ┙ᐃᩘ ᅗ㸱 ࿘㎶ᆅ┙ኚ఩ࡢ῝ᗘศᕸ 㸦㸯㸧᥀๐እ࿘㒊࠿ࡽ 2m 㞳ࢀࡓ఩⨨ 㸦㸰㸧᥀๐እ࿘㒊࠿ࡽ 5m 㞳ࢀࡓ఩⨨ -70 -65 -60 -55 -50 -45 -40 -35 -30 -25 -20 -15 -10 -5 0 -2 0 2 4 6 8 10 ῝ᗘ m 㖄┤ኚ఩mm -2 0 2 4 6 8 10 Ỉᖹኚ఩mm -70 -65 -60 -55 -50 -45 -40 -35 -30 -25 -20 -15 -10 -5 0 -2 0 2 4 6 8 10 ῝ᗘ m 㖄┤ኚ఩mm -2 0 2 4 6 8 10 Ỉᖹኚ఩mm ㌾ᙅᒙ ◳㉁ᒙ 0.45-35 ◳㉁ᒙ 0.45-10 ㌾ᙅᒙ 0.45-10㸸L-2 0.45-10㸸S-2 0.45-35㸸L-2 0.45-35㸸S-2 0.45-10㸸L-2 0.45-10㸸S-2 0.45-35㸸L-2 0.45-35㸸S-2 0.45-10㸸L-5 0.45-10㸸S-5 0.45-35㸸L-5 0.45-35㸸S-5 0.45-35㸸L-5 0.45-35㸸S-5 0.45-10㸸L-5 0.45-10㸸S-5 ۃ᥀๐ᗏ ۃ᥀๐ᗏ 㸦D㸧㖄┤ኚ఩ 㸦㹠㸧Ỉᖹኚ఩ 㸦D㸧㖄┤ኚ఩ 㸦㹠㸧Ỉᖹኚ఩ ࣖ ࣥ ࢢ ⋡ 㸦 kN/m2㸧 ࣏ ࢔ ࢯ ࣥ ẚ ὸ 㒊㌾ ᙅ ᒙ 1.2×105 (Vs=150m/s┦ ᙜ) 㸫 ῝ 㒊 ◳ ㉁ ᒙ 1.4×10 Vs=500m/s┦ ᙜ 0.20 ᆅ ᒙ ቃ ⏺ ῝ ᗘ ㌾ ᙅ ᒙ ࡢ ࣏ ࢔ ࢯ ࣥ ẚ GL-10m GL-20m GL-35m 0.30 ◁ ㉁ ᅵ ⣔ 0.45 ⢓ ᛶ ᅵ ⣔ -10m -20m -35m 0.30 5.2 13.2 36.1 0.45 5.2 8.1 25.7 ᆅ ᒙ ቃ ⏺ ῝ ᗘ ㌾ ᙅ ᒙ ࡢ ࣏ ࢔ ࢯ ࣥ ẚ ⾲㸱 ᥀๐୰ኸࡢࣜࣂ࢘ࣥࢻኚ఩㸦mm㸧⾲㸰ゎᯒࣃ࣓࣮ࣛࢱ 東急建設技術研究所報No.41 50

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ࡸࡸ῝࠸ GL-16m ௜㏆࡛᭱኱࡜࡞ࡗ࡚࠾ࡾ㸪ࡑࡢኚ఩㔞 ࡣࣜࣂ࢘ࣥࢻኚ఩ࡢ 4㹼5 ๭࡛࠶ࡿࠋࡇࢀ࡟ᑐࡋ࡚㸪᥀๐ ᗏࡀ㌾ᙅᒙ࡛◳㉁ᒙࡀ࠿࡞ࡾ῝࠸῝ᗘ࡟࠶ࡿ 0.45-35 ࣔ ࢹࣝࡢ㖄┤ኚ఩ࡣ㸪ࡑࢀࡒࢀ㌾ᙅᒙ㸦GL-35m ௨ὸ㸧࡛ᛴ ቑࡋ࡚࠸ࡿࠋࡑࢀࡒࢀ GL-12m㹼-20m ௜㏆࡛᭱኱࡜࡞ࡗ ࡚࠾ࡾ㸪ࡑࡢኚ఩㔞ࡣࣜࣂ࢘ࣥࢻኚ఩ࡢ 2 ๭⛬ᗘ࡛࠶ࡿࠋ ୍᪉㸪Ỉᖹኚ఩ࡣ 0.45-10 ࣔࢹ࡛ࣝࡣ࡯࡜ࢇ࡝⏕ࡌ࡚࠸࡞ ࠸ࡀ㸪0.45-35 ࣔࢹ࡛ࣝࡣ᥀๐ᗏ௨῝ࡢ㌾ᙅᒙ࡛኱ࡁࡃ⏕ ࡌ࡚࠸ࡿࠋྠࣔࢹࣝࡢ᭱኱Ỉᖹኚ఩ࡣࣜࣂ࢘ࣥࢻኚ఩ࡢ 3 ๭⛬ᗘ࡛࠶ࡿࠋࡲࡓ㸪▷㎶ഃ S-2 ࡜㛗㎶ഃ L-2 ࢆẚ㍑ࡍࡿ ࡜㸪ྛ᪉ྥࡢኚ఩ࡣ୧ࣔࢹࣝ࡜ࡶ㛗㎶ഃࡢ᪉ࡀ኱ࡁ࠸ࠋ ࡲࡓ㸪ྠᅗ㸦㸰㸧࡟ࡣ㸪ྠࣔࢹࣝ࡟࠾ࡅࡿ᥀๐እ࿘㒊࠿ ࡽ 5m 㞳ࢀࡓᅗ㸯୰ࡢ S-5 ࠾ࡼࡧ L-5 ఩⨨ࡢ㖄┤࠾ࡼࡧ᥀ ๐ഃ࡬ࡢỈᖹኚ఩ࡢ῝ᗘศᕸࢆ♧ࡍࠋ 0.45-10ࣔࢹࣝ࠾ࡼࡧ 0.45-35 ࣔࢹࣝࡢ㖄┤ኚ఩ࡣ㸪ࡑࢀ ࡒࢀ GL-13m ࠾ࡼࡧ GL-6m ௜㏆࡛᭱኱࡜࡞ࡗ࡚࠾ࡾ㸪ࡑ ࡢኚ఩㔞ࡣࣜࣂ࢘ࣥࢻኚ఩ࡢ 3㹼4 ๭࠾ࡼࡧ 2 ๭⛬ᗘ࡛࠶ ࡿࠋ᥀๐㒊࡟㏆࠸ S-2 ࠾ࡼࡧ L-2 ࡟ẚ࡭࡚㸪ὸ࠸῝ᗘ࡛᭱ ኱࡜࡞ࡿഴྥࡀ࠶ࡿࠋ0.45-35 ࣔࢹࣝ࡟╔┠ࡍࡿ࡜㸪㌾ᙅ ᒙ㸦GL-35m ௨ὸ㸧࡛㖄┤ኚ఩ࡀᛴቑࡍࡿഴྥࡣぢࡽࢀࡎ㸪 ᥀๐㒊࡟㏆࠸ S-2 ࠾ࡼࡧ L-2 ࡢ῝ᗘศᕸ࡜ࡣഴྥࡀ␗࡞ࡿࠋ ୍᪉㸪ྠࣔࢹࣝࡢỈᖹኚ఩ࡣ㸪᥀๐㒊࡟㏆࠸ S-2 ࠾ࡼࡧ L-2 ࡼࡾࡸࡸᑠࡉ࠸ࡶࡢࡢ㸪ᴫࡡྠᵝࡢศᕸᙧ≧ࢆࡋ࡚࠸ࡿࠋ ᅗ㸲࡟㸪0.45-35 ࣔࢹࣝࡢᅗ ୰ B ᩿㠃㸦᥀๐እ࿘㒊࠿ ࡽ 2m 㞳ࢀ㸧࡜ C ᩿㠃ᅗ㸦᥀๐እ࿘㒊࠿ࡽ 5m 㞳ࢀ㸧࡟࠾ ࡅࡿ GLs0m㸪-15m࠾ࡼࡧ-20m ࡢ㖄┤࠾ࡼࡧỈᖹኚ఩ศ ᕸࢆ♧ࡍࠋ 㖄┤ኚ఩࡟╔┠ࡍࡿ࡜㸪࠸ࡎࢀࡢ῝ᗘ࡟࠾࠸࡚ࡶ㸪᥀๐ 㒊࡟㏆࠸ B ➃㠃ࡢ᪉ࡀ኱ࡁࡃ㸪᥀๐㒊㛗㎶ࡢ୰ኸ࡟㏆࠸࡯ ࡝኱ࡁ࠸ࠋB ᩿㠃࡜ C ᩿㠃ࢆẚ࡭ࡿ࡜㸪ᆅ୰㒊ࡢ GL-15m ࠾ࡼࡧ GL-20m ࡛ࡣ B ᩿㠃ࡢ᪉ࡀ 2 ಸ⛬ᗘ኱ࡁ࠸ࡢ࡟ᑐ ࡋ࡚㸪GL±0m ࡛ࡣ࡯࡜ࢇ࡝ᕪ␗ࡀ࡞࠸ࠋࡲࡓ㸪㝯㉳᪉ྥ ࡢኚ఩ࡀ⏕ࡌ࡚࠸ࡿ⠊ᅖ㸦௨ୗ㸪㖄┤ኚ఩ࡢᙳ㡪⠊ᅖ㸧ࡣ㸪 B᩿㠃࠾ࡼࡧ C ᩿㠃ඹ࡟㸪ᆅ୰㒊ࡢ GL-15m ࠾ࡼࡧ GL-20m ࡼࡾࡶ GL±0m ࡢ᪉ࡀᗈࡃ㸪᥀๐➃㒊࠿ࡽ᥀๐㛗㎶ᖜࡢ 0.4 ಸ⛬ᗘ࡛࠶ࡿࠋ Ỉᖹኚ఩࡟╔┠ࡍࡿ࡜㸪Ỉᖹኚ఩ࡀ኱ࡁࡃ⏕ࡌ࡚࠸ࡿ GL-20m࠾࠸࡚㸪᥀๐ഃ࡬ࡢኚ఩ࡀ⏕ࡌ࡚࠸ࡿ⠊ᅖ㸦௨ୗ㸪 Ỉᖹኚ఩ࡢᙳ㡪⠊ᅖ㸧ࡣ᥀๐➃㒊࠿ࡽ᥀๐㛗㎶ᖜࡢ 0.7 ಸ ⛬ᗘ࡛࠶ࡾ㸪㖄┤ኚ఩ࡢᙳ㡪⠊ᅖࡼࡾᗈ࠸ࠋ ௨ୖࡼࡾ㸪ᆅୖ࡟㕲㐨➼ࡀ㏆᥋ࡍࡿሙྜ࡟ࡣ㸪᥀๐ᗏ௨ ῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻ࡟ࡼࡿ㏆᥋ᑐ㇟≀ࡢኚ≧ࡣ㸪㖄┤᪉ྥ ࡀ୺యⓗ࡜࡞ࡿࡀ㸪᥀๐ᗏ௨῝࡟ᆅୗ㕲➼ࡀ㏆᥋ࡍࡿሙྜ ࡟ࡣ㸪ࡑࢀ࡟ຍ࠼࡚Ỉᖹ᪉ྥ࡟ࡶ⏕ࡌ㸪ࡑࡢኚ఩㔞ࡀ⏕ࡌ ࡿ⠊ᅖࡣỈᖹኚ఩ࡢ᪉ࡀᗈ࠸ࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋ ᅗ㸳࡟㸪඲࡚ࡢゎᯒࣔࢹࣝ࡟࠾ࡅࡿᅗ㸯୰ L-2 ࠾ࡼࡧ L-5ࡢᆅ⾲㠃㸦GLs0m㸧࠾ࡼࡧᆅ୰㒊㸦GL-20m㸧ࡢ㖄┤ ࠾ࡼࡧỈᖹኚ఩ࢆ♧ࡍࠋ ᆅᒙቃ⏺ GL-35m ࣔࢹࣝ࡟╔┠ࡍࡿ࡜㸪㖄┤ኚ఩ࡣᆅ⾲㠃࠾ࡼࡧᆅ୰㒊ඹ࡟࣏࢔ࢯࣥẚࡀᑠࡉ࠸࡯࠺ࡀ኱ࡁ࠸ࠋ୍ ᪉㸪ᆅ୰㒊ࡢỈᖹኚ఩ࡣ㸪࣏࢔ࢯࣥẚࡀ኱ࡁ࠸࡯࠺ࡀ኱ࡁ ࠸ࠋ 㸦D㸧GLs0m 㸦D㸧GLs0m 㸦㹠㸧GL-15m -4 -2 0 2 4 6 8 0 10 20 30 40 50 60 70 80 90 -4 -2 0 2 4 6 8 0 10 20 30 40 50 60 70 80 90 -4 -2 0 2 4 6 8 0 10 20 30 40 50 60 70 80 90 -4 -2 0 2 4 6 8 0 10 20 30 40 50 60 70 80 90 -4 -2 0 2 4 6 8 0 10 20 30 40 50 60 70 80 90 -4 -2 0 2 4 6 8 0 10 20 30 40 50 60 70 80 90 㖄┤ ኚ ఩ 䠄 mm 䠅 Ỉᖹ ኚ ఩ 䠄 mm 䠅 ᥀๐⠊ᅖ ᥀๐➃㒊 ᥀๐⠊ᅖ ᥀๐➃㒊 B᩿㠃䠄2m㞳䜜䠅 C᩿㠃䠄5m㞳䜜䠅㖄┤ ኚ ఩ 䠄 mm 䠅 Ỉᖹ ኚ ఩ 䠄 mm 䠅 ᥀๐⠊ᅖ ᥀๐➃㒊 ᥀๐⠊ᅖ ᥀๐➃㒊㖄┤ ኚ ఩ 䠄 mm 䠅㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅 Ỉᖹ ኚ ఩ 䠄 mm 䠅㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅 ᥀๐⠊ᅖ ᥀๐➃㒊 ᥀๐⠊ᅖ ᥀๐➃㒊㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅 B᩿㠃䠄2m㞳䜜䠅 C᩿㠃䠄5m㞳䜜䠅 B᩿㠃䠄2m㞳䜜䠅 C᩿㠃䠄5m㞳䜜䠅 B᩿㠃䠄2m㞳䜜䠅 C᩿㠃䠄5m㞳䜜䠅 B᩿㠃䠄2m㞳䜜䠅 C᩿㠃䠄5m㞳䜜䠅 B᩿㠃䠄2m㞳䜜䠅 C᩿㠃䠄5m㞳䜜䠅 ᅗ㸲 ࿘㎶ᆅ┙ኚ఩ࡢỈᖹศᕸ㸦0.45-35 ࣔࢹࣝ㸧㸦㹠㸧GL-15m 㸦㹡㸧GL-20m 㸦㸯㸧┤ኚኚ఩ 㸦㸰㸧Ỉᖹኚ఩ 㸦㹡㸧GL-20m 東急建設技術研究所報No.41 51

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ࡲࡓ㸪ྠࣔࢹࣝ࡟࠾࠸࡚㸪㖄┤ኚ఩࡜Ỉᖹኚ఩ࢆẚ㍑ࡍࡿ ࡜㸪࣏࢔ࢯࣥẚ 0.30 ࡢࣔࢹ࡛ࣝࡣ㖄┤ኚ఩ࡢ᪉ࡀ኱ࡁࡃ㸪 ࣏࢔ࢯࣥẚ 0.45 ࡢࣔࢹ࡛ࣝࡣỈᖹኚ఩ࡢ᪉ࡀ኱ࡁ࠸ࠋࡘ ࡲࡾ㸪◳㉁ᒙࡀ᥀๐ᗏࡼࡾࡶ࠿࡞ࡾ῝࠸ሙྜ㸪ᆅ⾲㠃࠾ࡼ ࡧᆅ୰㒊࡟⏕ࡌࡿ㖄┤ኚ఩ࡣ㌾ᙅᒙࡀ◁㉁ᅵ⣔ࡢሙྜ࡟ ኱ࡁࡃ㸪ᆅ୰㒊ࡢỈᖹኚ఩ࡣྠᒙࡀ⢓ᛶᅵ⣔ࡢሙྜ࡟኱ࡁ ࠸ࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋ ࡲ࡜ࡵ ᮏሗ࡛ࡣ㸪᥀๐ᗏ௨῝࡟㌾ᙅᆅ┙ࡀཌࡃሁ✚ࡍࡿሙྜ࡟ ࠾࠸࡚㸪᥀๐ᗏ௨῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻࡀ࿘㎶ᆅ┙࡟୚࠼ࡿ ᙳ㡪ࢆゎᯒⓗ࡟᳨ウࡋࡓࠋᚓࡽࢀࡓ▱ぢࢆ௨ୗ࡟♧ࡍࠋ 㸧㌾ᙅᒙࡢᆅᒙቃ⏺῝ᗘࡀ᥀๐ᗏࡼࡾࡶ࠿࡞ࡾ῝࠸ሙ ྜ㸪࿘㎶ᆅ┙࡟࠾࠸࡚㸪㖄┤ኚ఩࡟ຍ࠼࡚ᆅ୰㒊࡛ ẚ㍑ⓗ኱ࡁ࡞Ỉᖹኚ఩ࡀ⏕ࡌࡿࠋ 㸧㌾ᙅᒙࡀ◁㉁ᅵ⣔࡛࣏࢔ࢯࣥẚࡀᑠࡉ࠸ሙྜ㸪⢓ᛶ ᅵ⣔࡛࣏࢔ࢯࣥẚࡀ኱ࡁ࠸ሙྜ࡟ẚ࡭࡚㸪ᆅ⾲㠃࠾ ࡼࡧᆅ୰㒊࡟⏕ࡌࡿ㖄┤ኚ఩ࡣ኱ࡁࡃ࡞ࡿࠋ୍᪉㸪㌾ᙅᒙࡀ⢓ᛶᅵ⣔࡛࣏࢔ࢯࣥẚࡀᑠࡉ࠸ሙྜ㸪⢓ᛶ ᅵ⣔࡛࣏࢔ࢯࣥẚࡀ኱ࡁ࠸ሙྜ࡟ẚ࡭࡚㸪ᆅ୰㒊࡟ ⏕ࡌࡿỈᖹኚ఩ࡀ኱ࡁࡃ࡞ࡿࠋ ᕤ஦ィ⏬࡟㝿ࡋ࡚ࡣ㸪ୖグࡢⅬ࡟␃ពࡍࡿᚲせࡀ࠶ࡿ࡜ ࠸࠼ࡼ࠺ࠋࡲࡓ㸪௒ᚋ㸪ࡇࡢࡼ࠺࡞ᆅ┙᮲௳࡟࠾ࡅࡿࣜࣂ ࢘ࣥࢻኚ఩ࡢᐇ ⤖ᯝࡀ⵳✚ࡉࢀࡿࡇ࡜ࡀᮃࡲࢀࡿࠋ ཧ⪃ᩥ⊩ 㸧 ᰘᓮ἟ୖ୰ἑ࡯࠿㸸኱つᶍ᥀๐ᕤ஦ࡢࣜࣂ࢘ࣥࢻ࡟ࡼࡿ㏆᥋㕲㐨㧗ᯫᶫ࡬ࡢᙳ㡪➨ ᅇᆅ┙ᕤᏛ◊✲Ⓨ⾲఍ pp.819-8202014.7 㸧 ୰ ἑ ἟ ୖ ࡯ ࠿ 㸸 ኱ つ ᶍ ࡞ 㡰 ᡴ ࡕ ᕤ ஦ ࡟ ࠾ ࡅ ࡿ ᅵ ୹ ᒙ ࡢ ࣜ ࣂ ࢘ ࣥ ࢻ ホ ౯ ᮾ ᛴ ᘓ タ ᢏ ⾡ ◊ ✲ ᡤ ሗ No.36 pp.45-502011.2

ANALYSIS OF THE DEFORMATION OF SURROUNDING GROUND DUE TO REBOUND OF THE

GROUND DEEPER THAN EXCAVATION BOTTOM

Y.Zhang, Y.Furugaichi and F.Nakazawa

Construction works with deep excavation adjacent to railroad are not uncomment in metropolis. In this paper, a three-dimensional analytical model is built in order to evaluate the deformation behavior of the surrounding ground around the excavation subjected to the rebound of the ground deeper than excavation bottom. The elastic model is composed of the hard and the soft ground layers, in which two parameters, both the ground layer depth and the Poisson’s ratio of soft ground, are taken into account. The analytic results indicate that the vertical displacement as well as the horizontal displacement in the underground become large under the condition of excavation bottom far away from the upper surface level of the hard layer. Besides, the horizontal displacement in the underground increases with the increase of the Poisson’s ratio of the soft ground.

ᅗ㸳 ࿘㎶ᆅ┙ኚ఩ࡢᆅ⾲㠃࠾ࡼࡧᆅ୰㒊ࡢᆅ┙ኚ఩ -2 0 2 4 6 8 10 12 14 GL-10 GL-20 GL-35 -2 0 2 4 6 8 10 12 14 GL-10 GL-20 GL-35 -2 0 2 4 6 8 10 12 14 GL-10 GL-20 GL-35 -2 0 2 4 6 8 10 12 14 GL-10 GL-20 GL-35 㖄┤ኚ ఩ 㸦 mm 㸧㖄┤ኚ ఩ 㸦 mm 㸧 Ỉᖹኚ ఩ 㸦 mm 㸧 Ỉᖹኚ ఩ 㸦 mm 㸧㌾ᙅᒙ䛾䝫䜰䝋䞁ẚ 0.30 0.45 㸦㸯㸧 ᆅ⾲㠃㸦GLs0m㸧 ᆅᒙቃ⏺ࣞ࣋ࣝ㸦m䠅 ᆅᒙቃ⏺ࣞ࣋ࣝ㸦m㸧㸦D㸧㖄┤ኚ఩ 㸦㹠㸧Ỉᖹኚ఩ ᆅᒙቃ⏺ࣞ࣋ࣝ㸦m㸧㸦D㸧㖄┤ኚ఩ 㸦㹠㸧Ỉᖹኚ఩ 㸦㸰㸧ᆅ୰㒊㸦GL-20P㸧 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 L-2 L-5 ㌾ᙅᒙ䛾䝫䜰䝋䞁ẚ 0.30 0.45 ㌾ᙅᒙ䛾䝫䜰䝋䞁ẚ 0.30 0.45 ㌾ᙅᒙ䛾䝫䜰䝋䞁ẚ 0.30 0.45 ᆅᒙቃ⏺ࣞ࣋ࣝ㸦m㸧東急建設技術研究所報No.41 52