ᄂᆮỉᏑὉႸႎίბაໜὸ 䝭䜽䝻䝇䜿䞊䝹 Water ¾ ᾐ㏱ὶ᪉⛬ᘧ䛷䛿䚸Navier-stokes᪉⛬ᘧ 䛾⛣ὶ㡯䛜↓ど䛥䜜䛯ᙧ䛻䛺䛳䛶䛔䜛 ¾ 㛫㝽ෆ䛾䝯䝙䝇䜹䝇䛻⏤᮶䛩䜛䝭䜽䝻䛺ὶ 䜜䛾䝯䜹䝙䝈䝮䛜ྲྀ䜚ධ䜜䜙䜜䛶䛔䛺䛔 (Pore scale) Cover soil Waste Gas Waste Cover soil ¾ Navier-stokes᪉⛬ᘧ䜢⏝䛔䚸⛣ὶ㡯䛾㞳 ᩓ䛻㧗䛔⢭ᗘ䜢‶䛯䛩CIPἲ䜢㐺⏝䛩䜛 ¾ ⾲㠃ᙇຊ䜢⪃៖䛩䜛䛯䜑䛻䚸⾲㠃ᙇຊ䜢 య✚ຊ䛷⾲⌧䛩䜛CSF䝰䝕䝹䜢⤌䜏㎸䜐 Leachate ᇙ❧ᒙෆ䛾䝯䜹䝙䝈䝮䜢ゎ᫂䛩䜛䛯䜑䚸㧗ရ㉁䛺ᩘ್䝅䝭䝳䝺䞊䝅䝵䞁ᡭἲ䜢ᵓ⠏䛩䜛 ᧓ᨤ࢟ཞỉἴἙἽ҄ ᩘ್䝅䝭䝳䝺䞊䝅䝵䞁䛾䛯䜑䚸⏬ീฎ⌮䛻䜘䜚」㞧䛺㛫㝽ᙧ≧䜢⾲⌧䛩䜛ᡭ㡰䜢ᵓ⠏䛧䛯 ᷈ἧỻὊỽἋᵶዴᵡᵲ ⥳Ⰽ䛾䝯䝑 䝅䝳㒊ศ䛜 ᇙ❧ᒙෆ㒊 䛾ᅛ┦㒊ศ ဒϼྸᵆᵱᶁᵿᶌᴾᵧᵮᵊᴾᵉᵤᵣᴾᵫᶍᶂᶓᶊᶃᵇ 10mm 䝁䜰䝃䞁䝥䝹 CT⏬ീ ୕ḟඖ䝕䞊䝍 ⏬ീฎ⌮䝬䝇䜽䛾సᡂ භ㠃య䝯䝑䝅䝳䛾సᡂ ૅᣐ૾ᆉࡸ 㐃⥆䛾ᘧ ߘȉܝൌͲ 䛆⛣ὶィ⟬䛾ၥ㢟Ⅼ䛇 Navier-stokes᪉⛬ᘧ డܝ డ୲ ଵ ఘ ଵ ఘ ߲ߠ ܝȉߘ ߠ ൌͲ ߲ݐ ߲݂ ߲݂ ݑ ൌͲ ߲ݐ ߲ݔ ⓑ䜢䛭䛾䜎䜎 䛴䛺䛔䛷䛔䛟䛸䚸 䝥䝻䝣䜯䜲䝹䛿䚸 䛺䜎䛳䛶䛧䜎䛖 ḟ䛾้䛷䛾 䝯䝑䝅䝳Ⅼୖ䛾್ 䜢ⓑ⾲♧ ܝȉ ߘ =ܝ- ߘ ɋο ܝെ ۴௦௩ െ ܽɖ ܝ Ỉศ㔞⛣ື䛾ᘧ ᵡᵧᵮඥỉಒᙲ1) 䛣䛣䛷䚸f䛿≀⌮㔞䚸u䛿ఏ㏿ᗘ䜢⾲䛧䛶䛔䜛䚹䜎䛯䚸䛣䛾ᘧ 䜢ᚤศ䛧䛶≀⌮㔞䛾✵㛫୍㝵ᚤศ䛻㛵䛩䜛᪉⛬ᘧ䜢ᑟ䛟䚹 ݂௫ ൌ ߲݂Τ߲ݔ ߲ ݂௫ ߲ ݂௫ ߲ݐ ᘙ᩿ࢌщ 䛆CIPἲ䛇 ؈ỜᡂỚ ؾမඥ 䝥䝻䝣䜯䜲䝹䜢⛣ ື䛩䜛䛸䛝䚸್䛰 䛡䛷䛿䛺䛟䚸䛭䛾 ഴ䛝䠄→䠅䜒⛣ὶ䛥 䛫䜛 ܽ ൌ ଶ ିೠ ܾ ൌ ᵡᵧᵮඥ ݑ ߲ݔ ൌͲ ⛣ὶ᪉⛬ᘧ䛿䚸୕ḟ㛵ᩘ⿵㛫䜢⏝䛔䛶௨ୗ䛾䜘䛖䛻ゎ䛟䚹 ݂ାଵ ൌ ܽ Ɍଷ +ܾ Ɍଶ ݂௫ ݂ ݂௫ ାଵ ൌ ܽ Ɍଶ ܾ Ɍ+ ݂௫ 䛣䛣䛷䚸 ᐇ⥺䛿ึᮇ䛾䝥䝻䝣䜯䜲䝹䚸◚⥺䛿⛣ὶᚋ䛾ཝᐦゎ య + ೣ ା ೣ ೠ మ െ͵ ݂ െ ݂௨ ʹ ݂௫ െ ܦଶ ݂௫ ܦ ௨ ξ=െݑοݐǡ ܦൌ െοݔ ඖ䛾䝥䝻䝣䜯䜲䝹䜢⥔ᣢ䛧䛺䛜䜙䚸⛣ື䛩䜛䛣䛸䛜ྍ⬟䛸䛺䜛 ᵡᵱᵤἴἙἽ 䛯䛰䛧䚸u䛿ὶ㏿䚸p䛿ᅽຊ䚸ν䛿ື⢓ᛶಀᩘ䚸Fsv䛿⾲㠃 ᙇຊ䚸θ䛿Ỉศ㔞䛷䛒䜛䚹䛣䜜䜙䛾᪉⛬ᘧ䜢ᕪศἲ䛻䜘䛳 䛶㞳ᩓ䛧䚸SMACἲ䜢⏝䛔䛶ὶయ᪉⛬ᘧ䛾ィ⟬䜢⾜䛳 䛯䚹䜎䛯䚸ᅽຊPoissonᘧ䛿GP-BiCGἲ䜢⏝䛔䛶ゎ䛔䛯䚹 ᮏ◊✲䛷䛿䚸Brackbill䜙䛻䜘䜛CSF(Continuum Surface Force)䝰䝕䝹䜢᥇⏝䛧䛯䚹CSF䝰䝕䝹䛿䚸⏺㠃䛻ാ䛟⾲㠃ᙇຊ䜢య✚ຊFsv䛷⾲⌧䛩䜛䝰䝕䝹䛷䛒䜛䚹 ܨ௦௩ ൌ ߪɈߜܖୈ 䛣䛣䛷䚸σ䛿⾲㠃ᙇຊಀᩘ䚸κ䛿᭤⋡䚸n䛿ἲ⥺䝧䜽䝖䝹䚸δD䛿䝕䝹䝍㛵ᩘ䛷䛒䜛䚹 ఇఏ n= κ=-ߘ ȉ ܖ ఇఏ ཧ⪃ᩥ⊩ 1)▮㒊Ꮥ䜙䠖CIPἲ䛸Java䛻䜘䜛CG䝅䝭䝳䝺䞊䝅䝵䞁䚸᳃ฟ∧ᰴᘧ♫䠄2007䠅 ౨ᚰ ᵡᵱᵤἴἙἽỉ౨ᚰ ᘙ᩿ࢌщỆợỦỺἑἠὊἽ࢟٭ᚐௌίщئὸ ᐯဌᘙ්᩿ủίᵡᵧᵮඥὸỉ౨ᚰ ἒἲἨἾỶἁբ᫆ί᬴ܱኽௐᵐᵇểỉൔ᠋ὸ ᾮ┦ඛ➃䛾⤒ኚ ⮬⏤⾲㠃ὶ䜜䛾᳨ドၥ㢟䛾䜂䛸䛴䛷䛒䜛䝎䝮䝤䝺䜲䜽⌧㇟䜢ྲྀ䜚ୖ 䛢䚸ᮏᡭἲ䛾ጇᙜᛶ䜢᳨ウ䛧䛯䚹᪤ 䛾ᐇ㦂⤖ᯝ䛸ẚ㍑䛧䛶᳨ド䛧䛯 Cal. Exp.(Martin ˏ Moyce 1.125in) Exp.(Martin ˏ Moyce 2.250in) 4 ቨ䛻⾪✺䛧䛶㧗䛟㊴䛽ୖ 䛜䜚䚸ዟഃ䜈⛣ື䛧䛶䛔䛟 Z (=z/a) ⮬㔜䛻䜘䛳䛶Ỉሢ 䛜ᔂቯ䛧䛶䛔䛟 5 t=0.00s t=0.05s t=0.2s t=1.0s t=0.1s 3 L 2 䛝䛺᭤⋡䜢ᣢ䛴㝮ゅ㒊䛻 䛝䛺⾲㠃ᙇຊ䛜ാ䛔䛶䛔䜛 2L Z t=2.0s 1 ᾮ┦ඛ➃䛾⤒ኚ䜢ぢ䛶䜒䚸ᮏᩘ್ィ⟬䛿䚸Ỉ⌮ᐇ㦂䜢Ⰻዲ䛻⌧䛧䛶䛚 䜚䚸ᮏᡭἲ䛾ጇᙜᛶ䛜☜ㄆ䛷䛝䛯䚹䜎䛯䚸⛣ὶ㡯䛾㞳ᩓ䛻CIPἲ䜢⏝䛔䚸 䛾㞳ᩓ᪉ἲ䠄ୖὶᕪศἲ➼䠅䛸ẚ㍑䛧䛶䚸㧗䛔⢭ᗘ䛷ィ⟬䛷䛝䜛䛣䛸䜢☜ㄆ䛧 䛯䚹ᮏᡭἲ䛻䜘䜚䚸⮬⏤⾲㠃䛾ᣲື䜢⢭ᗘ䜘䛟ᤊ䛘䜛䛣䛸䛜ྍ⬟䛸䛺䛳䛯䚹 0 1 2 3 4 t(2g/L)^0.5 Xmax=0.584m, ymax=0.146m, zmax=0.511m Ỉ䛾ᐦᗘ1000kg/m3, ✵Ẽ䛾ᐦᗘ1.25kg/m3 Ỉ䛾ື⢓ᛶಀᩘ1.0㽢10-6m2/s, ✵Ẽ䛾ື⢓ᛶಀᩘ1.5㽢10-5m2/s ཧ⪃ᩥ⊩ 2)Martin,J.C., Moyce, W. J., Philos. Trans. Roy. Soc. London Ser.A, Vol244, 312-324(1952) ⾲㠃ᙇຊ䛻䜘䜚䚸ᙧ䛻᮰䛧䛶䛔䜛 Δx = Δy = Δz = 0.0025m 䜶䝍䝜䞊䝹ᐦᗘ 797.88kg/m3 ✵Ẽ䛾ᐦᗘ 1.25kg/m3 ⾲㠃ᙇຊಀᩘ 2.361㽢10-2N/m Brackbill䜙3)䛻䜘 䜛ィ⟬⤖ᯝ䛸䜒 ୍⮴䛧䛶䛚䜚䚸 ⾲㠃ᙇຊ䛾ຠ ᯝ䛜ṇ䛧䛟ᮏ䝇 䜻䞊䝮䛻ྲྀ䜚㎸ 䜎䜜䛶䛔䜛 ཧ⪃ᩥ⊩ 3)Brackbill et. al., J. Computational Physics, Vol.100, 335-354 (1992) ૠ͌ἉἱἷἾὊἉἹὅኽௐ ᇙ❧ฎศሙෆ㒊ಖ᭷Ỉ䛾⛣ື䜢䝅䝭䝳䝺䞊䝅䝵䞁ゎᯒ䛧䛯䚹ึᮇ᮲௳䛸䛧䛶ୖ㒊䛻Ỉศ㔞䜢䛘䛯ሙྜ䛾㛫㝽Ẽᾮ ┦ὶᩘ್ゎᯒ䜢♧䛩䚹ྑᅗ䛻Ỉ䜏䛱䜢ᐃ䛧䛯㛫㝽⋡䛾䛝䛔䝰䝕䝹䜢䚸ୗᅗ䛻㛫㝽⋡䛾ᑠ䛥䛔䝰䝕䝹䜢♧䛩䚹 㛫㝽ᵓ㐀䝰䝕䝹䠖0.001m㽢0.001m㽢0.001m ⧞䜚㏉䛧ᅇᩘ: 110,000ᅇ 㛫้䜏Δt: 1.0㽢10-7⛊ ቃ⏺᮲௳䠖ഃ㠃䛿䛩䜉䜚ቨ ୖୗ㠃䛿⮬⏤ὶฟ᮲௳ 㛫㝽⋡䛜䛝䛟␗䛺䜛ෆ 㒊ᵓ㐀䛻䛚䛔䛶䚸ὶయ䛾 ≀ᛶ್䛜␗䛺䜛⮬⏤⾲ 㠃䛾ᣲື䜢⢭ᗘ䜘䛟ᤊ䛘 䜛䛣䛸䛜䛷䛝䛯䚹 ᆔẉᩃٶễờỉầ؈ỜᇌềỤủẆᙐᩃễ᧓ᨤನᡯί࢟ཞẆٻẨẰሁὸử࢟ẴỦϼ ЎئϋỆấẟềẮẸẆஜඥỊẆ᧓ᨤϋ්ủửᚸ̖ẴỦạảỂࢍщễὊἽểễỦẇ
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