水库洪水计算

水库防洪标准复核计算,,,,,,,,,,,,,,,,,,,,,,,,,,

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1、设计暴雨的计算(雨量单位：mm),,,,,,,,,,,,,,,,,,,,,,,,,,

（1）从附图1～6查设计流域中心点各种历时的暴雨参数(Cs/Cv=3.5)，雨量单位：mm，下同,,,,,,,计算基本参数,,,,,,,,,,,,,,,,,,,

H24（最大24小时点雨量均值）,CV24(最大24小时点雨量变差系数),H6（最大6小时点雨量均值）,CV6(最大6小时点雨量变差系数),H1（最大1小时点雨量均值）,CV1(最大1小时点雨量变差系数),,,一般推理公式法,华东地区特小流域法,,,,,,,,,,,,,,,,,

137.30,0.50,94.70,0.51,55,0.43,,F（km2）,1.5,,,,,,,,,,,,,,,,,,

（2）从附表1查得各种历时的KP值，计算10年一遇和50年一遇的各种历时降雨量,,,,,,,L（km）,1.611,,,,,,,,,,,,,,,,,,

,H24,KP,H24P,Cv24,Cs/Cv=3.5,,J（‰）,124.4,,,,,,,,,,,,,,,,,,

p=0.33%,137.30,3.24,445,0.50,,,,,,,,,,,,,,,,,,,,,,

p=3.3%,137.30,2.18,299,,,,,,,,,,,,,,,,,,,,,,,

p=10%,137.30,1.661,228,,,,,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,,,,,,,,,

,H6,KP,H6P,Cv6,Cs/Cv=3.5,,,,,,,,,,,,,,,,,,,,,

p=0.33%,94.70,3.3,313,0.51,,,,,,,,,,,,,,,,,,,,,,

p=3.3%,94.70,2.21,209,,,,,,,,,,,,,,,,,,,,,,,

p=10%,94.70,1.67,158,,,,,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,,,,,,,,,

,H1,KP,H1P,Cv1,Cs/Cv=3.5,,,,,,,,,,,,,,,,,,,,,

p=0.33%,55,2.83,156,0.43,,,,,,,,,,,,,,,,,,,,,,

p=3.3%,55,1.99,109,,,,,,,,,,,,,,,,,,,,,,,

p=10%,55,1.57,86,,,,,,,,,,,,,,,,,,,,,,,

（3）计算1～6小时的暴雨递减指数,,,,,,,,,,,4.49,,,,,,,,,,,,,,,

,,,递减指数,,,,,,,,2.245,,,,,,,,,,,,,,,

p=0.33%时,,,0.611,,,,,,,,,,,,,,,,,,,,,,,

p=3.3%时,,,0.637,,,,,,,,,,,,,,,,,,,,,,,

p=10%时,,,0.661,,,,,,,,,,,,,,,,,,,,,,,

（4）计算3小时的降雨量,,,,,,,,,,,,,,,,,,,,,,,,,,

,,,H3P,,,,,,,,,,,,,,,,,,,,,,,

p=0.33%时,,,239,,,,,,,,,,,,,,,,,,,,,,,

p=3.3%时,,,162,,,,,,,,,,,,,,,,,,,,,,,

p=10%时,,,125,,,,,,,,,,,,,,,,,,,,,,,

（5）计各种历时面雨量,,,,,,,,,,,,,,,,,,,,,,,,,,

本水库流域面积为1.5km2小于10km，直接采用点雨量代表面雨量,,,,,,,,,,,,,,,,,,,,,,,,,,

（6）据附表3计算24小时设计雨量的时程分配,,,,,,,,,,,,,,,,,,,,,,,,,,

"P=0.33%(H24P=445,H6P=313,H3P=239,H1P=156)",,,,,,,,,,,,,,,,,,,,,,,,,,

时段,1,2,3,4,5,6,7,8,9,10,11,12,,,,,,,,,,,,,,

雨量,4.4,4.4,4.4,4.4,4.4,4.4,9.2,9.2,9.2,9.2,9.2,9.2,81.8,,,,,,,,,,,,,

时段,13,14,15,16,17,18,19,20,21,22,23,24,,,,,,,,,,,,,,

雨量,41.5,41.5,156.0,24.7,24.7,24.7,8.4,8.4,8.4,8.4,8.4,8.4,363.2,,,,,,,,,,,,,

"P=3.3%(H24P=299,H6P=209,H3P=162,H1P=109)",,,,,,,,,,,,,,,,,,,,,,,,,,

时段,1,2,3,4,5,6,7,8,9,10,11,12,,,,,,,,,,,,,,

雨量,3.0,3.0,3.0,3.0,3.0,3.0,6.3,6.3,6.3,6.3,6.3,6.3,55.8,,,,,,,,,,,,,

时段,13,14,15,16,17,18,19,20,21,22,23,24,,,,,,,,,,,,,,

雨量,26.5,26.5,109.0,15.7,15.7,15.7,5.7,5.7,5.7,5.7,5.7,5.7,243.2,,,,,,,,,,,,,

"P=10%(H24P=228,H6P=158,H3P=125,H1P=86)",,,,,,,,,,,,,,,,,,,,,,,,,,

时段,1,2,3,4,5,6,7,8,9,10,11,12,,,,,,,,,,,,,,

雨量,2.3,2.3,2.3,2.3,2.3,2.3,4.9,4.9,4.9,4.9,4.9,4.9,43.4,,,,,,,,,,,,,

时段,13,14,15,16,17,18,19,20,21,22,23,24,,,,,,,,,,,,,,

雨量,19.5,19.5,86.0,11.0,11.0,11.0,4.4,4.4,4.4,4.4,4.4,4.4,184.6,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,,,,,,,,

3、用推理公式法设计洪水,,,,,,,,,,,,,,,,,,,,,,,,,,

（1）计算净雨平均强度,,,,,,,,,,,,,,,,,,,,,,,,,,

净雨平均强度,单位：mm/小时,,,,,,,,,,,,,,,,,,,,,,,,,

p=0.33%,18.54,,,,,,,,,,,,,,,,,,,,,,,,,

p=3.3%,12.46,,,,,,,,,,,,,,,,,,,,,,,,,

p=10%,9.50,,,,,,,,,,,,,,,,,,,,,,,,,

查附图7,,,,,,,,,,,,,,,,,,,,,,,,,,

p=0.33%,稳定入渗率FC=5.95,,,,,,,,,,,,,,,,,,,,,,,,,

p=3.3%,稳定入渗率FC=4.36,,,,,,,,,,,,,,,,,,,,,,,,,

p=10%,稳定入渗率FC=3.47,,,,,,,,,,,,,,,,,,,,,,,,,

（2）用Fc值分割时段的地表净雨和地下净雨,,,,,,,,,,,,,,,,,,,,,,,,,,

"p=0.33%时分割地表,地下净流",,,,,,,,,,,,,,,,,,,,,,,,,,

时段,1,2,3,4,5,6,7,8,9,10,11,12,,,,,,,,,,,,,,

雨量,4.40,4.40,4.40,4.40,4.40,4.40,9.24,9.24,9.24,9.24,9.24,9.24,,,,,,,,,,,,,,

地表,0.00,0.00,0.00,0.00,0.00,0.00,3.29,3.29,3.29,3.29,3.29,3.29,19.74,,,,,,,,,,,,,

地下,4.40,4.40,4.40,4.40,4.40,4.40,5.95,5.95,5.95,5.95,5.95,5.95,62.1,,,,,,,,,,,,,

时段,13,14,15,16,17,18,19,20,21,22,23,24,,311.5,∑R地表,,,,,,,,,,,

雨量,41.50,41.50,156.00,24.67,24.67,24.67,8.36,8.36,8.36,8.36,8.36,8.36,,133.5,∑R地下,,,,,,,,,,,

地表,35.55,35.55,150.05,18.72,18.72,18.72,2.41,2.41,2.41,2.41,2.41,2.41,291.76,,,,,,,,,,,,,

地下,5.95,5.95,5.95,5.95,5.95,5.95,5.95,5.95,5.95,5.95,5.95,5.95,71.4,,,,,,,,,,,,,

"p=3.3%分割地表,地下净流",,,,,,,,,,,,,,,,,,,,,,,,,,

时段,1,2,3,4,5,6,7,8,9,10,11,12,,,,,,,,,,,,,,

雨量,3.00,3.00,3.00,3.00,3.00,3.00,6.30,6.30,6.30,6.30,6.30,6.30,,,,,,,,,,,,,,

地表,0.00,0.00,0.00,0.00,0.00,0.00,1.94,1.94,1.94,1.94,1.94,1.94,11.64,,,,,,,,,,,,,

地下,3.00,3.00,3.00,3.00,3.00,3.00,4.36,4.36,4.36,4.36,4.36,4.36,44.16,,,,,,,,,,,,,

时段,13,14,15,16,17,18,19,20,21,22,23,24,,202.52,∑R地表,,,,,,,,,,,

雨量,26.50,26.50,109.00,15.67,15.67,15.67,5.70,5.70,5.70,5.70,5.70,5.70,,96.48,∑R地下,,,,,,,,,,,

地表,22.14,22.14,104.64,11.31,11.31,11.31,1.34,1.34,1.34,1.34,1.34,1.34,190.88,,,,,,,,,,,,,

地下,4.36,4.36,4.36,4.36,4.36,4.36,4.36,4.36,4.36,4.36,4.36,4.36,52.32,,,,,,,,,,,,,

"p=10%分割地表,地下净流",,,,,,,,,,,,,,,,,,,,,,,,,,

时段,1,2,3,4,5,6,7,8,9,10,11,12,,,,,,,,,,,,,,

雨量,2.33,2.33,2.33,2.33,2.33,2.33,4.90,4.90,4.90,4.90,4.90,4.90,,,,,,,,,,,,,,

地表,0.00,0.00,0.00,0.00,0.00,0.00,1.43,1.43,1.43,1.43,1.43,1.43,8.58,,,,,,,,,,,,,

地下,2.30,2.30,2.30,2.30,2.30,2.30,3.47,3.47,3.47,3.47,3.47,3.47,34.62,,,,,,,,,,,,,

时段,13,14,15,16,17,18,19,20,21,22,23,24,,151.54,∑R地表,,,,,,,,,,,

雨量,19.50,19.50,86.00,11.00,11.00,11.00,4.43,4.43,4.43,4.43,4.43,4.43,,76.26,∑R地下,,,,,,,,,,,

地表,16.03,16.03,82.53,7.53,7.53,7.53,0.96,0.96,0.96,0.96,0.96,0.96,142.96,,,,,,,,,,,,,

地下,3.47,3.47,3.47,3.47,3.47,3.47,3.47,3.47,3.47,3.47,3.47,3.47,41.64,,,,,,,,,,,,,

（3）①计算汇流参数m值,,,,,②华东地区特小流域法计算汇流参数m值,,,,,,,,,,,,,,,,,,,,,

F=,1.5,km2,,,F,1.5,km2,,,,,,,,,,,,,,,,,,,

L=,1.62,km,,,L=,1.62,km,,,,,,,,,,,,,,,,,,,

J=,124.36,0‰,,,J=,0.12436,按小数计,,,,,,,,,,,,,,,,,,,

θ=L/J^(1/3)*F^(1/4),0.293,<1.5,,,θ=L/J^(1/3),3.24554855,,Ⅱ-2类m,,,,,,,,,,,,,,,,,,

m=0.063*θ^0.384,0.039,,,,m=0.305*θ^0.118,0.350454658,Ⅱ-1类,m,0.446448182,,,,,,,,,,,,,,,,,

（4）计算地表洪峰流量,,,,,（4）计算洪峰流量,,,,,,,,,,,,,,,,,,,,,

①Qm～τ关系线,,,,,Ⅱ-1类,,,,,,,,,,,,,,,,,,,,,

τ=0.278L/(m*J^(1/3)*Qm^(1/4),,,,,,Sp,F,τ,n,Qm,Q假设,L,m,J,,,,,,,,,,,,

,,,,,p=0.33%,156.000,1.500,0.894,0.500,68.803,68.800,1.620,0.350,0.1244,,,,,,,,,,,,

,L=,1.62,km,,p=3.3%,109.000,1.500,0.990,0.637,45.747,45.750,1.620,0.350,0.1244,,,,,,,,,,,,

,m=,0.039,,,p=10%,86.000,1.500,1.063,0.661,34.449,34.450,1.620,0.350,0.1244,,,,,,,,,,,,

,J=,124.36,0‰,,,,,,,,,,,,,,,,,,,,,,,

,τ1=,2.293836627,/Qm^(1/4),,Ⅱ-2类,,,,,,,,,,,,,,,,,,,,,

,,,,,,Sp,F,τ,n,Qm,Q假设,L,m,J,,,,,,,,,,,,

,,,,,p=0.33%,156.000,1.500,0.670,0.500,79.476,83.140,1.620,0.446,0.1244,,,,,,,,,,,,

,,,,,p=3.3%,109.000,1.500,0.743,0.637,54.922,54.960,1.620,0.446,0.1244,,,,,,,,,,,,

假定若干不同的Qm值，求出其相应的若干τ值，得Qm～τ关系线,,,,,p=10%,86.000,1.500,0.796,0.661,41.701,41.730,1.620,0.446,0.1244,,,,,,,,,,,,

τ=2.294/Qm^(1/4),,Qm,,,,,,,,,,,,,,,,,,,,,,,,

0.980,,30,,,"0.980196392672961,30",,,,,,,,,,,,,,,,,,,,,

0.968,,31.5,,,"0.968313028190317,31.5",,,,,,,,,,,,,,,,,,,,,

0.957,,33,,,"0.95711677631148,33",,,,,,,,,,,,,,,,,,,,,

0.947,,34.5,,,"0.946539276807882,34.5",,,,,,,,,,,,,,,,,,,,,

0.937,,36,,,"0.936521578324102,36",,,,,,,,,,,,,,,,,,,,,

0.927,,37.5,,,"0.927012513545635,37.5",,,,,,,,,,,,,,,,,,,,,

0.918,,39,,,"0.917967407481021,39",,,,,,,,,,,,,,,,,,,,,

0.909,,40.5,,,"0.909347040605414,40.5",,,,,,,,,,,,,,,,,,,,,

0.901,,42,,,"0.901116809165777,42",,,,,,,,,,,,,,,,,,,,,

0.893,,43.5,,,"0.893246039572434,43.5",,,,,,,,,,,,,,,,,,,,,

0.886,,45,,,"0.88570742435043,45",,,,,,,,,,,,,,,,,,,,,

0.878,,46.5,,,"0.87847655482916,46.5",,,,,,,,,,,,,,,,,,,,,

0.872,,48,,,"0.871531531442377,48",,,,,,,,,,,,,,,,,,,,,

0.865,,49.5,,,"0.864852636763649,49.5",,,,,,,,,,,,,,,,,,,,,

0.858,,51,,,"0.85842205961124,51",,,,,,,,,,,,,,,,,,,,,

0.852,,52.5,,,"0.85222366100025,52.5",,,,,,,,,,,,,,,,,,,,,

0.846,,54,,,"0.846242774597513,54",,,,,,,,,,,,,,,,,,,,,

0.840,,55.5,,,"0.840466035789225,55.5",,,,,,,,,,,,,,,,,,,,,

0.835,,57,,,"0.834881234606692,57",,,,,,,,,,,,,,,,,,,,,

0.829,,58.5,,,"0.829477188648386,58.5",,,,,,,,,,,,,,,,,,,,,

0.824,,60,,,"0.824243632843315,60",,,,,,,,,,,,,,,,,,,,,

0.819,,61.5,,,"0.819171123463978,61.5",,,,,,,,,,,,,,,,,,,,,

0.814,,63,,,"0.814250954248706,63",,,,,,,,,,,,,,,,,,,,,

0.809,,64.5,,,"0.809475082857351,64.5",,,,,,,,,,,,,,,,,,,,,

0.805,,66,,,"0.804836066179515,66",,,,,,,,,,,,,,,,,,,,,

0.800,,67.5,,,"0.800327003255163,67.5",,,,,,,,,,,,,,,,,,,,,

0.796,,69,,,"0.795941484764592,69",,,,,,,,,,,,,,,,,,,,,

0.792,,70.5,,,"0.791673548206927,70.5",,,,,,,,,,,,,,,,,,,,,

0.788,,72,,,"0.787517638020488,72",,,,,,,,,,,,,,,,,,,,,

0.783,,73.5,,,"0.78346857000967,73.5",,,,,,,,,,,,,,,,,,,,,

0.780,,75,,,"0.77952149953586,75",,,,,,,,,,,,,,,,,,,,,

0.776,,76.5,,,"0.775671893007606,76.5",,,,,,,,,,,,,,,,,,,,,

0.772,,78,,,"0.771915502270537,78",,,,,,,,,,,,,,,,,,,,,

0.768,,79.5,,,"0.768248341552589,79.5",,,,,,,,,,,,,,,,,,,,,

0.765,,81,,,"0.764666666666667,81",,,,,,,,,,,,,,,,,,,,,

0.761,,82.5,,,"0.761166956212401,82.5",,,,,,,,,,,,,,,,,,,,,

②Qm～t关系线与Qm～t表关系线,,,,,,,,,,,,,,,,,,,,,,,,,,

按上述所求的地表净雨过程，以最大的时段地表净雨为中心，向左右时段按大小顺序进行累加，求出不同时段的地表最大平均净雨强度R表/t表，然后用公式Qm=0.278×F×R表/t表计算不同t表时的相应Qm值，即得Qm～t表关系线。,,,,,,,,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,,,,,,,,,

p=0.33%,,,,,,,,,,,,,,,,,,,,,,,,,,

R表（mm）,ΣR表（mm）,t表（小时）,Qm（m3/s）,F=1.5km2,,,,,,,,,,,,,,,,,,,,,,

35.55,150.05,1.00,62.57,,"1,62.57085",,,,,,,,,,,,,,,,,,,,,

35.55,185.60,2.00,38.70,,"2,38.6976",,,,,,,,,,,,,,,,,,,,,

150.05,221.15,3.00,30.74,,"3,30.73985",,,,,,,,,,,,,,,,,,,,,

18.72,239.87,4.00,25.01,,"4,25.0061",,,,,,,,,,,,,,,,,,,,,

18.72,258.58,5.00,21.57,,"5,21.56585",,,,,,,,,,,,,,,,,,,,,

18.72,277.30,6.00,19.27,,"6,19.27235",,,,,,,,,,,,,,,,,,,,,

2.41,279.71,7.00,16.66,,"7,16.6627242857143",,,,,,,,,,,,,,,,,,,,,

2.41,282.12,8.00,14.71,,"8,14.705505",,,,,,,,,,,,,,,,,,,,,

2.41,284.53,9.00,13.18,,"9,13.1832233333333",,,,,,,,,,,,,,,,,,,,,

2.41,286.94,10.00,11.97,,"10,11.965398",,,,,,,,,,,,,,,,,,,,,

绘Qm～τ关系线与Qm～t表关系线，交点即为所求的设计地表洪峰流量Qm表,0.8,67.33,,,,,,,,,,,,,,,,,,,,,,,,

,t,Qm,,,,,,,,,,,,,,,,,,,,,,,,

p=3.3%,,,,,,,,,,,,,,,,,,,,,,,,,,

R表（mm）,ΣR表（mm）,t表（小时）,Qm（m3/s）,,,,,,,,,,,,,,,,,,,,,,,

22.14,104.64,1,43.63,,"1,43.63488",,,,,,,,,,,,,,,,,,,,,

22.14,126.78,2,26.43,,"2,26.43363",,,,,,,,,,,,,,,,,,,,,

104.64,148.92,3,20.70,,"3,20.69988",,,,,,,,,,,,,,,,,,,,,

11.30666667,160.2266667,4,16.70,,"4,16.70363",,,,,,,,,,,,,,,,,,,,,

11.30666667,171.5333333,5,14.31,,"5,14.30588",,,,,,,,,,,,,,,,,,,,,

11.30666667,182.84,6,12.71,,"6,12.70738",,,,,,,,,,,,,,,,,,,,,

1.34,184.18,7,10.97,,"7,10.9718657142857",,,,,,,,,,,,,,,,,,,,,

1.34,185.52,8,9.67,,"8,9.67023",,,,,,,,,,,,,,,,,,,,,

1.34,186.86,9,8.66,,"9,8.65784666666667",,,,,,,,,,,,,,,,,,,,,

1.34,188.2,10,7.85,,"10,7.84794",,,,,,,,,,,,,,,,,,,,,

1.34,189.54,11,7.19,,"11,7.18528909090909",,,,,,,,,,,,,,,,,,,,,

绘Qm～τ关系线与Qm～t表关系线，交点即为所求的设计地表洪峰流量Qm表,0.88,45.66,,,,,,,,,,,,,,,,,,,,,,,,

,t,Qm,,,,,,,,,,,,,,,,,,,,,,,,

R表（mm）,ΣR表（mm）,t表（小时）,Qm（m3/s）,,,,,,,,,,,,,,,,,,,,,,,

16.03,82.53,1,34.42,,"1,34.41501",,,,,,,,,,,,,,,,,,,,,

16.03,98.56,2,20.55,,"2,20.54976",,,,,,,,,,,,,,,,,,,,,

82.53,114.59,3,15.93,,"3,15.92801",,,,,,,,,,,,,,,,,,,,,

7.53,122.12,4,12.73,,"4,12.73101",,,,,,,,,,,,,,,,,,,,,

7.53,129.65,5,10.81,,"5,10.81281",,,,,,,,,,,,,,,,,,,,,

7.53,137.18,6,9.53,,"6,9.53401",,,,,,,,,,,,,,,,,,,,,

0.96,138.1433333,7,8.23,,"7,8.22939571428572",,,,,,,,,,,,,,,,,,,,,

0.96,139.1066667,8,7.25,,"8,7.250935",,,,,,,,,,,,,,,,,,,,,

0.96,140.07,9,6.49,,"9,6.48991",,,,,,,,,,,,,,,,,,,,,

0.96,141.0333333,10,5.88,,"10,5.88109",,,,,,,,,,,,,,,,,,,,,

0.96,141.9966667,11,5.38,,"11,5.38296454545455",,,,,,,,,,,,,,,,,,,,,

绘Qm～τ关系线与Qm～t表关系线，交点即为所求的设计地表洪峰流量Qm表,0.94,35.22,,,,,,,,,,,,,,,,,,,,,,,,

,t,Qm,,,,,,,,,,,,,,,,,,,,,,,,

（5）计算设计洪量(m3),,,,,,,,,,,,,,,,,,,,,,,,,,

地表W（m3）,467250,p=0.33%,,,,,,,,,,,,,,,,,,,,,,,,

地下W（m3）,200250,,,,,,,,,,,,,,,,,,,,,,,,,

地表W,303780,p=3.3%,,,,,,,,,,,,,,,,,,,,,,,,

地下W,144720,,,,,,,,,,,,,,,,,,,,,,,,,

地表W,227310,p=10%,,,,,,,,,,,,,,,,,,,,,,,,

地下W,114390,,,,,,,,,,,,,,,,,,,,,,,,,

（6）计算地表洪水过程线，根据r值查r～t～Qt/Qm％关系曲线表，查得各时刻t所对应的Qt/Qm％值，乘以地表洪峰流量Qm表即得。,,,,,,,,结果比较,,洪峰流量Qm（p=0.33%）,洪峰流量Qm（p=3.33%）,洪峰流量Qm（p=10%）,,,,,,,,,,,,,,

r,0.0386,p=0.33%,结果在洪水过程线计算表,,,,,,采用一般推理公式,67.69,45.92,35.42,,,,,,,,,,,,,,

r,0.0370,p=3.33%,,,,,,,采用华东特小流域法公式,68.80,45.75,34.45,,,,,,,,,,,,,,

r,0.0359,p=10%,,,,,,,,,,,,,,,,,,,,,,,,

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洪水过程线计算表,,,,,,,,,,,,,,,,,,,,,,,,,,

p=0.33%,,,,,,,,,,p=3.3%,,,,,,,,,p=10%,,,,,,,

t,r＝0.03，(Qt/Qm)×％,r＝0.04，(Qt/Qm)×％,r＝0.0386，(Qt/Qm)×％,Q表,Q下,Q总,,,,t,r＝0.03，(Qt/Qm)×％,r＝0.04，(Qt/Qm)×％,r＝0.037，(Qt/Qm)×％,Q表,Q下,Q总,,,t,r＝0.03，(Qt/Qm)×％,r＝0.04，(Qt/Qm)×％,r＝0.0359，(Qt/Qm)×％,Q表,Q下,Q总,

0,0,0,0,0.00,0.00,0.00,"0,0",,,0,0,0,0,0.00,0.00,0.00,"0,0",,0,0,0,0,0.00,0.00,0.00,"0,0"

3,0.1,0.3,0.272,0.18,0.07,0.25,"3,0.2497376",,,3,0.1,0.3,0.24,0.11,0.05,0.16,"3,0.157584",,3,0.1,0.3,0.218,0.08,0.04,0.12,"3,0.1151796"

6,0.5,1,0.93,0.63,0.13,0.76,"6,0.759369",,,6,0.5,1,0.85,0.39,0.10,0.48,"6,0.48411",,6,0.5,1,0.795,0.28,0.08,0.36,"6,0.356799"

7,0.5,1.2,1.102,0.74,0.16,0.90,"7,0.8973766",,,7,0.5,1.2,0.99,0.45,0.11,0.56,"7,0.564034",,7,0.5,1.2,0.913,0.32,0.09,0.41,"7,0.4111586"

8,0.6,1.5,1.374,0.93,0.18,1.10,"8,1.1027142",,,8,0.6,1.5,1.23,0.56,0.13,0.69,"8,0.689618",,8,0.6,1.5,1.131,0.40,0.10,0.50,"8,0.5007382"

9,1,2,1.86,1.25,0.20,1.45,"9,1.452138",,,9,1,2,1.7,0.78,0.14,0.92,"9,0.92022",,9,1,2,1.59,0.56,0.12,0.68,"9,0.675198"

10,1.5,2.6,2.446,1.65,0.22,1.87,"10,1.8688918",,,10,1.5,2.6,2.27,1.04,0.16,1.20,"10,1.196482",,10,1.5,2.6,2.149,0.76,0.13,0.88,"10,0.8848778"

11,1.9,3.2,3.018,2.03,0.24,2.28,"11,2.2762194",,,11,1.9,3.2,2.81,1.28,0.18,1.46,"11,1.459046",,11,1.9,3.2,2.667,0.94,0.14,1.08,"11,1.0801174"

12,2.5,4,3.79,2.55,0.27,2.82,"12,2.818207",,,12,2.5,4,3.55,1.62,0.19,1.81,"12,1.81293",,12,2.5,4,3.385,1.19,0.15,1.35,"12,1.345797"

13,3.1,5,4.734,3.19,0.29,3.48,"13,3.4760022",,,13,3.1,5,4.43,2.02,0.21,2.23,"13,2.230738",,13,3.1,5,4.221,1.49,0.17,1.65,"13,1.6530362"

14,6.1,8.6,8.25,5.55,0.31,5.87,"14,5.865525",,,14,6.1,8.6,7.85,3.58,0.22,3.81,"14,3.80831",,14,6.1,8.6,7.575,2.67,0.18,2.85,"14,2.847115"

15,12.8,16.7,16.154,10.88,0.33,11.21,"15,11.2094882",,,15,12.8,16.7,15.53,7.09,0.24,7.33,"15,7.330998",,15,12.8,16.7,15.101,5.32,0.19,5.51,"15,5.5105722"

15.5,27.5,33,32.23,21.70,0.34,22.04,"15.5,22.044559",,,15.5,27.5,33,31.35,14.31,0.25,14.56,"15.5,14.56241",,15.5,27.5,33,30.745,10.83,0.20,11.03,"15.5,11.026789"

16,100,100,100,67.33,0.36,67.69,"16,67.6852",,,16,100,100,100,45.66,0.26,45.92,"16,45.916",,16,100,100,100,35.22,0.20,35.42,"16,35.4248"

16.5,52,55.8,55.268,37.21,0.37,37.58,"16.5,37.5782444",,,16.5,52,55.8,54.66,24.96,0.26,25.22,"16.5,25.221756",,16.5,52,55.8,54.242,19.10,0.21,19.32,"16.5,19.3152324"

17,26.4,31.7,30.958,20.84,0.38,21.22,"17,21.2214214",,,17,26.4,31.7,30.11,13.75,0.27,14.02,"17,14.020226",,17,26.4,31.7,29.527,10.40,0.22,10.62,"17,10.6170094"

18,11.4,15.2,14.668,9.88,0.40,10.28,"18,10.2755644",,,18,11.4,15.2,14.06,6.42,0.29,6.71,"18,6.707796",,18,11.4,15.2,13.642,4.80,0.23,5.04,"18,5.0351124"

19,3.6,7.1,6.61,4.45,0.42,4.87,"19,4.872313",,,19,3.6,7.1,6.05,2.76,0.30,3.07,"19,3.06643",,19,3.6,7.1,5.665,2.00,0.24,2.24,"19,2.238413"

20,0.8,3.8,3.38,2.28,0.44,2.72,"20,2.719754",,,20,0.8,3.8,2.9,1.32,0.32,1.64,"20,1.64414",,20,0.8,3.8,2.57,0.91,0.26,1.16,"20,1.161154"

21,0,2.4,2.064,1.39,0.47,1.86,"21,1.8558912",,,21,0,2.4,1.68,0.77,0.34,1.10,"21,1.103088",,21,0,2.4,1.416,0.50,0.27,0.77,"21,0.7675152"

22,0,1.6,1.376,0.93,0.49,1.41,"22,1.4148608",,,22,0,1.6,1.12,0.51,0.35,0.86,"22,0.863392",,22,0,1.6,0.944,0.33,0.28,0.61,"22,0.6140768"

23,0,1.1,0.946,0.64,0.51,1.15,"23,1.1475418",,,23,0,1.1,0.77,0.35,0.37,0.72,"23,0.719582",,23,0,1.1,0.649,0.23,0.29,0.52,"23,0.5229778"

24,0,0.8,0.688,0.46,0.53,1.00,"24,0.9960304",,,24,0,0.8,0.56,0.26,0.38,0.64,"24,0.639696",,24,0,0.8,0.472,0.17,0.31,0.47,"24,0.4734384"

25,0,0.5,0.43,0.29,0.56,0.84,"25,0.844519",,,25,0,0.5,0.35,0.16,0.40,0.56,"25,0.55981",,25,0,0.5,0.295,0.10,0.32,0.42,"25,0.423899"

26,0,0.4,0.344,0.23,0.58,0.81,"26,0.8088152",,,26,0,0.4,0.28,0.13,0.42,0.54,"26,0.543848",,26,0,0.4,0.236,0.08,0.33,0.42,"26,0.4159192"

30,0,0.4,0.344,0.23,0.67,0.90,"30,0.8976152",,,30,0,0.4,0.28,0.13,0.48,0.61,"30,0.607848",,30,0,0.4,0.236,0.08,0.38,0.47,"30,0.4671192"

35,0.2,0.3,0.286,0.19,0.78,0.97,"35,0.9695638",,,35,0.2,0.3,0.27,0.12,0.56,0.68,"35,0.683282",,35,0.2,0.3,0.259,0.09,0.45,0.54,"35,0.5392198"

40,0.2,0.2,0.2,0.13,0.89,1.02,"40,1.02266",,,40,0.2,0.2,0.2,0.09,0.64,0.73,"40,0.73132",,40,0.2,0.2,0.2,0.07,0.51,0.58,"40,0.58244"

45,0.1,0.1,0.1,0.07,0.99,1.06,"45,1.05733",,,45,0.1,0.1,0.1,0.05,0.72,0.77,"45,0.76566",,45,0.1,0.1,0.1,0.04,0.58,0.61,"45,0.61122"

50,0,0,0,0.00,1.11,1.11,"50,1.1125",,,50,0,0,0,0.00,0.80,0.80,"50,0.804",,50,0,0,0,0.00,0.64,0.64,"50,0.6355"

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