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AutobankAutobank滲流計(jì)算報(bào)告2020.04.2815:37:00DocumentofReport_seep,Watersoft,4:54PMDocumentofReport_seep,Watersoft,4:54PM滲流計(jì)算原理對(duì)于穩(wěn)定滲流,符合達(dá)西定律的非均各向異性二維滲流場(chǎng),水頭勢(shì)函數(shù)滿(mǎn)
足微分方程—kx— 一ky—Q0 (1-1)xxyy式中:?=?(x,y)為待求水頭勢(shì)函數(shù);x,y為平面坐標(biāo);Kx,Ky為x,y軸方向的滲透系數(shù)。水頭?還必須滿(mǎn)足一定的邊界條件,經(jīng)常出現(xiàn)以下幾種邊界條件:(1)在上游邊界上水頭已知?=?n(1-2)(2)在逸出邊界水頭和位置高程相等?=z(1-3)(3)在某邊界上滲流量q已知kx——lxky——ly q (1-4)xy其中l(wèi)x,ly為邊界表面向外法線(xiàn)在x,y方向的余弦。將滲流場(chǎng)用有限元離散,假定單元滲流場(chǎng)的水頭函數(shù)勢(shì) ?為多項(xiàng)式,由微分方程及邊界條件確定問(wèn)題的變分形式,可導(dǎo)得出線(xiàn)性方程組:[H]{?}={F} (1-5)式中[H]――滲透矩陣;{?}――滲流場(chǎng)水頭;{F}――節(jié)點(diǎn)滲流量。求解以上方程組可以得到節(jié)點(diǎn)水頭,據(jù)此求得單元的水力坡降,流速等物
理量。求解滲流場(chǎng)的關(guān)鍵是確定浸潤(rùn)線(xiàn)位置, Autobank采用節(jié)點(diǎn)流量平衡法通過(guò)迭代計(jì)算自動(dòng)確定浸潤(rùn)線(xiàn)位置和滲流量。Autobank滲流計(jì)算報(bào)告1概要分析類(lèi)型:二維穩(wěn)定滲流工況數(shù)量=4工況0,最咼水位=339.88m工況1,最咼水位=338.8m工況2,最高水位=331.9m工況3,最高水位=339.52m2材料參數(shù)材料參數(shù)表材料名Kx(m/s)Ky(m/s)給水度壩體填土4.12e-074.12e-070.777239地基土5.8e-075.8e-070.0240155排水棱體0.0050.0050.235169兩布一膜防滲層1e-091e-091.52552e-073滲流量流量表滲流0H=339.88(m)流量=9.09175e-07(m3/s)0.0785528(m3/d)滲流1H=338.8(m)流量=2.16042e-06(m3/s)0.186661(m3/d)滲流2H=331.9(m)流量=2.95954e-09(m3/s)0.000255704(m3/d)滲流3H=339.52(m)流量=1.37339e-06(m3/s)0.118661(m3/d)4附圖計(jì)算模型層,0+—331.90m,死水位-339.52m,設(shè)計(jì)洪水位-如88",校核洪水位338.80m,正常水位地基土,0+pI340.46排水棱體,0+331.86計(jì)算斷面的材料分區(qū)340.46339.88m,校核洪水位339.52m,設(shè)計(jì)洪水位331.90m,死水位338.80m,正常水位有限元網(wǎng)格工況0340.46—331.90m,死4水位338340.46—331.90m,死4水位338I53—331.8633滲流0,H=339.88(m),水頭(m)等值線(xiàn)-339.52m,設(shè)計(jì)洪水位 一觀(guān)咖,校核洪水位^”—338.80m,正常水位 4040工況1340.46—331.86工況1340.46—331.86-339.52m,設(shè)計(jì)洪水位 一如88",校核洪水位—338.80m,正常水位^ q”—331.90m,g3^滲流1,H=338.8(m),水頭(m)等值線(xiàn)工況2滲流2,H=331.9(m),流速矢量圖340.46>331.86-339.52m,設(shè)計(jì)洪水位-339^8m'校核洪水位338.80m,正常水位滲流2,H=331.9(m),水頭(m)等值線(xiàn)322323232323063—331.90m,工況3—339.52m,設(shè)計(jì)洪水位338.80m,正常水位 339.88m,校核洪水位340.460-00331.90m,死水位0.00 0108610.2918816滲流3,H=339.52(m),水壓(m)等值線(xiàn)5有限元計(jì)算結(jié)果列表滲流o節(jié)點(diǎn)xythick(m)水頭(m)水壓(m)節(jié)點(diǎn)流量(m3/s)01019.69340.3481336.50-2.499e-2011019.69340.461336.501.375e-1821018.83340.031336.603.642e-1231017.97339.61339.90.283.612e-0941017.11339.171339.90.716.964e-0951016.25338.741339.91.141.058e-0861015.39338.311339.91.571.563e-0871014.53337.881339.921.978e-0881013.67337.451339.92.432.287e-0891012.81337.021339.92.862.264e-08101011.95336.591339.93.292.165e-08111011.09336.161339.93.722.052e-08121010.23335.731339.94.151.93e-08131009.37335.31339.94.581.801e-08141008.51334.871339.95.011.665e-08151007.65334.441339.95.441.522e-08161006.79334.011339.95.871.37e-08171005.93333.581339.96.31.207e-08181005.07333.151339.96.731.028e-08
191004.21332.721339.97.168.273e-09201003.35332.291339.97.595.625e-09211002.49331.861339.98.022.585e-07221002.71331.861339.67.7542.967e-19231003.61332.3071339.26.894-5.582e-19241004.5332.75313396.1991.588e-20251005.39333.21338.75.5464.002e-20261006.29333.6471338.64.912-1.158e-19271007.18334.0941338.44.295-2.202e-20281008.08334.541338.23.6871.427e-19291008.97334.9871338.13.089-3.092e-20301009.86335.4341337.92.4998.063e-20311010.76335.8811337.81.917-1.392e-19321011.65336.3271337.71.343-1.019e-19331012.54336.7741337.60.78081.652e-20341013.44337.2211337.50.23931.651e-12351014.33337.6681337.401.3e-10361015.22338.1141337.803.075e-09371016.12338.56113380-1.202e-08381017.01339.0081337.80-8.041e-09391017.9339.4551337.30-4.293e-09401018.8339.9011336.80-1.081e-11411041.28331.561331.90.295-7.018e-15421041.28331.861331.90-7.8e-07431040.48332.3951331.901.066e-07441039.68332.931331.90-6.328e-15451038.87333.4651331.909.992e-16461038.073341331.90-1.582e-15471037.513341331.901.776e-15481036.953341331.90-2.22e-15491036.83341331.90-4.441e-16501036.8333.71331.903.053e-15511036.5333.71331.904.219e-15521036.53341331.90-8.882e-16531036.353341331.901.115e-16541035.81333.4651331.90-9.325e-15551035.27332.931331.90-9.682e-08561035.81332.3951331.90-6.278e-08571036.34331.861331.906.313e-08581036.64331.561331.90.29694.391e-11591037.57331.561331.90.2966-1.084e-10601038.5331.561331.90.29638.793e-10611039.43331.561331.90.29584.178e-09621040.35331.561331.90.2954-1.764e-08631023.43340.461335.806.776e-19641022.5340.4613360-1.138e-18651021.56340.461336.10-7.86e-19661020.63340.461336.301.355e-20671002.94331.861339.57.649-3.795e-19
681003.92331.861339.27.2952.033e-20691004.9331.861338.97.0611.626e-19701005.89331.861338.76.8589.487e-20711006.87331.861338.56.668-9.487e-20721007.85331.861338.36.487-1.084e-19731008.83331.861338.26.312-2.033e-19741009.82331.8613386.14-5.421e-20751010.8331.861337.85.972-2.439e-19761011.78331.861337.75.804-9.487e-20771012.76331.861337.55.637-2.711e-20781013.75331.861337.35.4690791014.73331.861337.25.299-5.421e-20801015.71331.8613375.1272.168e-19811016.69331.861336.84.951-1.355e-19821017.68331.861336.64.7715.421e-20831018.66331.861336.44.5889.487e-20841019.64331.861336.34.4-2.711e-20851020.62331.861336.14.209-5.421e-20861021.61331.861335.94.013-1.355e-19871022.59331.861335.73.813-1.762e-19881023.57331.861335.53.6092.711e-19891024.55331.861335.33.4-4.066e-20901025.54331.8613353.186-1.084e-19911026.52331.861334.82.967-2.575e-19921027.5331.861334.62.742-2.711e-20931028.48331.861334.42.5113.117e-19941029.47331.861334.12.2738.132e-20951030.45331.861333.92.027-1.22e-19961031.43331.861333.61.771-1.22e-19971032.41331.861333.41.5022.711e-20981033.4331.861333.11.213-1.355e-20991034.38331.861332.70.8879-1.626e-191001035.36331.861332.40.5249-2.131e-111011035.49334.4311332.405.598e-191021034.63334.8611332.90-4.134e-191031033.77335.2921333.202.982e-191041032.91335.7231333.60-6.099e-191051032.04336.1531333.80-1.355e-191061031.18336.5841334.101.897e-191071030.32337.0151334.302.033e-191081029.46337.4451334.60-5.421e-201091028.6337.8761334.904.608e-191101027.74338.3071335.30-4.743e-191111026.88338.7371335.201.491e-191121026.01339.1681335.40-1.22e-191131025.15339.5991335.501.355e-201141024.29340.0291335.702.643e-191151001.66331.861339.98.021.441e-071161000.83331.861339.98.029.33e-08
1171000331.861339.98.024.317e-081181000330.8781339.78.834-1.355e-191191000329.8961339.69.686-8.132e-201201000328.9131339.510.591.153e-191211000327.9311339.511.555.421e-201221000.99327.9311339.511.52-3.388e-211231001.97327.9311339.411.441.491e-191241002.96327.9311339.311.32-2.711e-201251003.95327.9311339.111.161.355e-191261004.93327.9311338.910.99-1.491e-191271005.92327.9311338.710.82.711e-201281006.91327.9311338.610.621.084e-191291007.89327.9311338.410.44-1.22e-191301008.88327.9311338.210.26-2.711e-201311009.87327.931133810.08-8.132e-201321010.85327.9311337.89.9016.776e-201331011.84327.9311337.79.726-6.776e-201341012.83327.9311337.59.5519.487e-201351013.82327.9311337.39.3766.776e-201361014.8327.9311337.19.1991.355e-201371015.79327.93113379.021-6.776e-201381016.78327.9311336.88.841.355e-201391017.76327.9311336.68.657-2.711e-201401018.75327.9311336.48.471.897e-191411019.74327.9311336.28.2796.776e-201421020.72327.93113368.0854.066e-201431021.71327.9311335.87.886-2.711e-201441022.7327.9311335.67.683-1.626e-191451023.68327.9311335.47.475-2.711e-201461024.67327.9311335.27.262-4.066e-201471025.66327.93113357.044-6.776e-201481026.64327.9311334.86.821-1.355e-201491027.63327.9311334.56.5916.776e-201501028.62327.9311334.36.3561.355e-201511029.6327.93113346.1142.711e-201521030.59327.9311333.85.865-1.084e-191531031.58327.9311333.55.611-1.355e-191541032.56327.9311333.35.3531.355e-201551033.55327.93113335.0969.487e-201561034.54327.9311332.84.846-1.491e-191571035.53327.9311332.54.616-5.421e-201581036.51327.9311332.44.4216.776e-201591037.5327.9311332.24.2652.711e-201601038.49327.9311332.14.154-4.066e-201611039.47327.93113324.0788.132e-201621040.46327.93113324.028-2.711e-201631041.45327.9311331.93.996-2.711e-201641042.43327.9311331.93.977-9.487e-201651043.42327.9311331.93.9670
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