瞬时单位线计算过程
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已知F L J(‰)10.12 5.9959.76南漳清凉河(新店子河)李庙沙坪村出口断面设计面雨量H140.6H663.5H24100.7cv0.45cv0.63cv0.63查kpP1%P2%P5%P10%P20%1h 2.52 2.25 1.88 1.6 1.313h6h 3.334 2.872 2.266 1.81 1.3624h 3.334 2.872 2.266 1.81 1.36南漳清凉河(新店子河)李庙沙坪村出口断面设计暴雨成果1.00%2.00%5%10.00%20%1h102.391.476.365.053.26h211.7182.4143.9114.986.424h335.7289.2228.2182.3137.0已知J=9.76属山丘区F/L^20.28属一般形状序号参数 1.00% 2.00%5%10.00%20%1L 5.995 5.995 5.995 5.995 5.9952J(‰)9.769.769.769.769.763F10.1210.1210.1210.1210.124H1面102.391.476.365.053.25H6面211.7182.4143.9114.986.46H24面335.7289.2228.2182.3137.07H3面159.8139.6112.692.271.68H3-H157.548.236.327.218.49H6-H351.942.831.322.814.810β10.4830.5010.5300.5650.61611β20.6310.6310.6310.6310.631参数1%2%5%10% 12n10.5940.6140.6460.6820.730fc 2.0 1.9 1.6 1.4 13n20.6680.6680.6680.6680.668Q00.4810.4300.3590.301 14θ20.7320.7320.7320.7320.73β0.0700.0700.0700.070 15M1 2.950 2.950 2.950 2.950 2.950tc6666 16n 1.488 1.488 1.488 1.488 1.488△t0.50.50.50.5 17R24313.2266.7205.7159.8114.5D 5.5 5.566 18fc 2.0 1.9 1.6 1.4 1.1T11.011.011.511.5 19tR山 1.2 1.2 1.2 1.2 1.2Qg 1.95 1.77 1.48 1.27 20tR丘 1.7 1.7 1.7 1.7 1.721tR 1.4 1.4 1.4 1.4 1.422Htr108.996.980.668.255.423ip76.968.556.948.239.224θj 1.2 1.2 1.2 1.2 1.225λ10.640.640.640.640.6426λ20.300.300.300.300.3027m1i0.930.96 1.01 1.06 1.1328n 1.5 1.5 1.5 1.5 1.529k0.60.60.70.70.830a 5.6 5.6 5.6 5.6 5.6时段123456789101112占一小时%3862占(H3-H1)%21.735.526.616.2占(H6-H3)%161718201514设计6小时雨型表项目暴雨历时面雨量频率(%)雨程分配表123456789101112P1%8.38.89.310.412.520.438.963.415.39.37.87.3P2% 6.87.37.78.610.517.134.756.712.87.8 6.4 6.0P5% 5.0 5.3 5.7 6.37.912.929.047.39.65.9 4.7 4.4P10% 3.6 3.9 4.1 4.5 5.99.724.740.37.2 4.4 3.4 3.2P20%2.4 2.5 2.73.04.0 6.520.233.0 4.9 3.0 2.2 2.1123456789101112p1%8.38.89.310.412.520.438.963.415.39.37.87.3净雨 6.3 6.87.38.410.518.436.961.413.37.3 5.8 5.3p2% 6.87.37.78.610.517.134.756.712.87.8 6.4 6.0净雨 4.9 5.4 5.8 6.78.615.232.854.810.9 5.9 4.5 4.1p5% 5.0 5.3 5.7 6.37.912.929.047.39.6 5.9 4.7 4.4净雨 3.4 3.7 4.1 4.7 6.311.327.445.78.0 4.3 3.1 2.8p10% 3.6 3.9 4.1 4.5 5.99.724.740.37.2 4.4 3.4 3.2净雨 2.2 2.5 2.7 3.1 4.58.323.338.9 5.8 3.0 2.0 1.8p20%2.4 2.5 2.73.04.0 6.520.233.0 4.9 3.0 2.2 2.11.3 1.4 1.6 1.9 2.95.419.131.9 3.8 1.9 1.1 1.0p1%△t=0.5tc=6小时n=1.5fc=2.0tt/ks(t)s(t-△t)u(△t、t)q(△t、t)q(△t、t)6.3 6.87.38.410.518.436.900.0000000.50.80.3400.34 1.904 1.904011.99520.00001 1.60.6380.340.298 1.6688 1.668810.5134412.94720.00001.52.40.8130.6380.1750.980.9800 6.17411.347813.89920.00002 3.20.9060.8130.0930.52080.5208 3.28104 6.664012.182215.99360.00002.54.00.9580.9060.0520.29120.2912 1.83456 3.54147.154014.017919.99200.00003 4.80.9750.9580.0170.09520.09520.59976 1.9802 3.80188.232017.522435.03360.00003.5 5.60.9930.9750.0180.100846.40.9960.9930.0030.01684.57.20.9980.9960.0020.011258.010.9980.0020.01125.58.81166.577.588.599.51010.511Qp2%△t=0.5tc=6小时n=1.5fc=1.9tt/ks(t)s(t-△t)u(△t、t)q(△t、t)q(△t、t)00.00000.50.80.3400.34 1.9041 1.60.6380.340.298 1.66881.5 2.40.8130.6380.1750.982 3.20.9060.8130.0930.52082.5 4.00.9580.9060.0520.29123 4.80.9750.9580.0170.09520.09520.46648 1.5725 3.0206 6.566014.351728.94080.00003.5 5.60.9930.9750.0180.10080.10080.493920.5141 1.6890 3.48948.428025.365862.45124 6.40.9960.9930.0030.01680.01680.082320.54430.5522 1.9510 4.478914.896054.73664.57.20.9980.9960.0020.01120.01120.054880.09070.58460.6378 2.50437.916232.144058.010.9980.0020.01120.01120.054880.06050.09740.67540.8187 4.426217.08225.58.8110.00000.06050.06500.11260.8669 1.44709.551460.00000.06500.07500.1445 1.5322 3.12266.50.00000.07500.09630.2554 3.306270.00000.09630.17020.55107.50.00000.17020.367480.00000.36748.50.000099.51010.511Qp5%tt/k s(t)s(t-△t)u(△t、t)q(△t、t)q(△t、t)3.4 3.74.1 4.7 6.311.327.4求净雨00.0000000.50.70.29500.295 1.652 1.6520 5.61680.00001 1.50.6080.2950.313 1.7528 1.7528 5.95952 6.11240.00001.52.20.7790.6080.1710.95760.95763.25584 6.4854 6.77320.00002 2.90.8880.7790.1090.61040.6104 2.07536 3.54317.18657.76440.00002.53.70.940.8880.0520.29120.29120.99008 2.2585 3.92628.238210.40760.00003 4.40.9680.940.0280.15680.15680.53312 1.0774 2.5026 4.500711.042618.66760.00003.5 5.10.9840.9680.0160.08960.08960.304640.5802 1.1939 2.8689 6.032919.806645.26484 5.90.9920.9840.0080.04480.04480.152320.33150.6429 1.3686 3.845510.820948.0267 4.5 6.60.9950.9920.0030.01680.01680.057120.16580.36740.7370 1.8346 6.897526.238257.30.9980.9950.0030.01680.01680.057120.06220.18370.42110.9878 3.290616.7250 5.58.110.9980.0020.01120.01120.038080.06220.06890.21060.5645 1.77187.978968.811000.00000.00000.04140.06890.07900.2822 1.0125 4.2963 6.50.00000.04590.07900.10580.5062 2.455070.00000.05260.10580.1898 1.2275 7.50.00000.07060.18980.460380.00000.12660.4603 8.50.00000.306990.0000 9.51010.51111.5Qp10%n=1.5t t/k s(t)s(t-△t)u(△t、t)q(△t、t)q(△t、t)2.2 2.5 2.73.14.58.323.300.0000000.50.70.29500.295 1.652 1.6520 3.63440.00001 1.50.6080.2950.313 1.7528 1.7528 3.85616 4.13000.00001.52.20.7790.6080.1710.95760.9576 2.10672 4.3820 4.46040.00002 2.90.8880.7790.1090.61040.6104 1.34288 2.3940 4.7326 5.12120.00002.53.70.940.8880.0520.29120.29120.64064 1.5260 2.5855 5.43377.43400.00003 4.40.9680.940.0280.15680.15680.344960.7280 1.6481 2.96867.887613.71160.00003.5 5.10.9840.9680.0160.08960.08960.197120.39200.7862 1.89224.309214.548238.49164 5.90.9920.9840.0080.04480.04480.098560.22400.42340.9027 2.74687.948140.8402 4.5 6.60.9950.9920.0030.01680.01680.036960.11200.24190.4861 1.3104 5.066322.312157.30.9980.9950.0030.01680.01680.036960.04200.12100.27780.7056 2.417014.2223 5.58.110.9980.0020.01120.01120.024640.04200.04540.13890.4032 1.3014 6.785068.811000.000000.02800.04540.05210.20160.7437 3.6534 6.50.00000.03020.05210.07560.3718 2.087770.00000.03470.07560.1394 1.0438 7.50.00000.05040.13940.391480.00000.09300.3914 8.50.00000.261090.0000 9.51010.51111.5Qp20%n=1.5t t/k s(t)s(t-△t)u(△t、t)q(△t、t)q(△t、t)1.3 1.4 1.6 1.92.9 5.419.100.0000000.50.70.29500.295 1.652 1.6520 2.14760.00001 1.30.5420.2950.247 1.3832 1.3832 1.79816 2.31280.00001.52.00.7380.5420.196 1.0976 1.0976 1.42688 1.9365 2.64320.00002 2.60.8420.7380.1040.58240.58240.75712 1.5366 2.2131 3.13880.00002.53.30.9140.8420.0720.40320.40320.524160.8154 1.7562 2.62814.79080.00003 3.90.9540.9140.040.2240.22400.29120.56450.9318 2.0854 4.01138.92080.00003.54.60.9730.9540.0190.10640.10640.138320.31360.6451 1.1066 3.18307.469331.55324 5.30.9850.9730.0120.06720.06720.087360.14900.35840.7661 1.6890 5.927026.41914.55.90.9930.9850.0080.04480.04480.058240.09410.17020.4256 1.1693 3.145020.96425 6.60.9950.9930.0020.01120.01120.014560.06270.10750.20220.6496 2.177311.1238 5.57.20.9970.9950.0020.01120.01120.014560.01570.07170.12770.3086 1.20967.701167.90.9990.9970.0020.01120.01120.014560.01570.01790.08510.19490.5746 4.2784 6.58.510.9990.0010.00560.00560.00730.01570.01790.02130.12990.3629 2.032279.211000.00000.00000.00780.01790.02130.03250.2419 1.2835 7.50.00000.00900.02130.03250.06050.855780.00000.01060.03250.06050.2139 8.50.00000.01620.06050.213990.00000.03020.2139 9.50.00000.1070100.0000 10.51111.512.520% 1.1 0.239 0.0706 0.57 12.5 1.0061.413.37.3 5.8 5.3地面径流地下径流设计洪水过程00.48120.4811.99520.548112.5423.460640.615024.0831.421040.681932.1038.120880.748838.8746.539920.815747.3667.169760.882668.05 0.0000119.03640.9495119.99 116.90560.0000205.91704 1.0164206.93 102.464325.32320.0000178.31016 1.0833179.39 60.172022.195013.89920.0000122.95752 1.1502124.11 31.977113.034012.182211.04320.000082.09096 1.217183.31 17.8797 6.92667.15409.679010.091257.4504 1.284058.735.8453 3.8730 3.8018 5.68408.844632.28904 1.350933.646.1891 1.2662 2.1258 3.0206 5.194018.73928 1.417820.16 1.0315 1.34060.6950 1.6890 2.76028.1357 1.48479.62 0.68770.22340.73580.5522 1.5434 4.15576 1.5516 5.71 0.68770.14900.12260.58460.5046 2.04848 1.6185 3.67 0.00000.14900.08180.09740.53420.8624 1.6854 2.550.00000.08180.06500.08900.23576 1.7523 1.990.00000.06500.05940.12432 1.8192 1.940.00000.05940.05936 1.8861 1.950.00000 1.9530 1.9554.810.9 5.9 4.5 4.1地面径流地下径流设计洪水过程00.43030.439.32960.49119.8218.458720.551919.0124.856720.612725.4730.279760.673530.9537.478560.734338.2154.918080.795155.710.0000102.431280.8559103.29 104.33920.0000181.580560.9167182.50 91.450220.75360.0000156.13640.9775157.11 53.704018.189911.23360.0000106.34288 1.0383107.38 28.539810.68209.84598.56800.000069.73904 1.099170.84 15.9578 5.6767 5.78207.50967.806447.67168 1.159948.835.2170 3.1741 3.0727 4.41006.842126.4488 1.220727.675.5238 1.0377 1.7181 2.3436 4.018015.4588 1.281516.740.9206 1.09870.5617 1.3104 2.1353 6.5643 1.34237.910.61380.18310.59470.4284 1.1939 3.38128 1.4031 4.780.61380.12210.09910.45360.3903 1.67888 1.4639 3.140.00000.12210.06610.07560.41330.67704 1.5247 2.200.00000.06610.05040.06890.18536 1.5855 1.770.00000.05040.04590.09632 1.6463 1.740.00000.04590.04592 1.7071 1.750.00000 1.7679 1.7745.78.0 4.3 3.1 2.8地面径流地下径流设计洪水过程2530系列1系列2系列3系列4系列5系列600.35920.365.61680.40806.0212.071920.456812.5316.51440.505617.0220.569360.554521.1225.820480.603326.4238.324160.652138.98 0.000076.051920.700976.75 75.49640.0000140.684880.7497141.43 80.103013.21600.0000129.616480.7986130.42 43.762314.02247.10360.000086.615760.847487.46 27.89537.66087.5370 5.12120.000058.90920.896259.81 13.3078 4.8832 4.1177 5.4337 4.625638.148320.945039.09 7.1658 2.3296 2.6247 2.9686 4.907823.188480.993824.18 4.0947 1.2544 1.2522 1.8922 2.681312.75064 1.042713.79 2.04740.71680.67420.9027 1.7091 6.7710 1.09157.86 0.76780.35840.38530.48610.8154 3.39976 1.1403 4.54 0.76780.13440.19260.27780.4390 2.11848 1.1891 3.31 0.51180.13440.07220.13890.2509 1.10824 1.2379 2.35 0.00000.08960.07220.05210.12540.33936 1.2868 1.630.00000.04820.05210.04700.14728 1.3356 1.480.00000.03470.04700.08176 1.3844 1.470.00000.03140.03136 1.4332 1.460.00000 1.4820 1.4838.9 5.8 3.0 2.0 1.8地面径流地下径流设计洪水过程0.00000.30130.303.63440.3433 3.987.98620.38538.3710.94910.427311.3813.59060.469414.0617.61980.511418.1327.28880.553427.84 0.000060.61660.595461.21 64.26280.0000117.44660.6374118.08 68.18399.58160.0000107.33130.6794108.01 37.250610.1662 4.95600.000070.19540.721470.92 23.7446 5.5541 5.2584 3.30400.000046.60150.763447.36 11.3277 3.5403 2.8728 3.5056 2.973628.94420.805429.75 6.0995 1.6890 1.8312 1.9152 3.155017.30740.847418.15 3.48540.90940.8736 1.2208 1.72379.50660.889510.40 1.74270.51970.47040.5824 1.0987 4.99520.9315 5.93 0.65350.25980.26880.31360.5242 2.50430.9735 3.48 0.65350.09740.13440.17920.2822 1.6078 1.0155 2.62 0.43570.09740.05040.08960.16130.8344 1.0575 1.89 0.00000.06500.05040.03360.08060.2296 1.0995 1.330.00000.03360.03360.03020.0974 1.1415 1.240.00000.02240.03020.0526 1.1835 1.240.00000.02020.0202 1.2255 1.250.00000.0000 1.2676 1.2731.9 3.8 1.9 1.1 1.0地面径流地下径流设计洪水过程0.00000.23890.242.14760.2694 2.424.11100.2999 4.416.00660.3303 6.347.64570.36088.0110.51460.391210.9116.80500.421717.23 0.000044.40910.452244.86 52.69880.000088.09470.482688.58 44.1241 6.27760.000076.42820.513176.94 35.0134 5.2562 3.13880.000057.74610.543558.29 18.5786 4.1709 2.6281 1.81720.000036.64360.574037.22 12.8621 2.2131 2.0854 1.5215 1.652025.51530.604526.12 7.1456 1.5322 1.1066 1.2074 1.383214.96210.634915.60 3.39420.85120.76610.6406 1.09768.35460.66549.02 2.14370.40430.42560.44350.5824 4.97840.6958 5.67 1.42910.25540.20220.24640.4032 2.85380.7263 3.58 0.35730.17020.12770.11700.2240 1.28690.7568 2.04 0.35730.04260.08510.07390.10640.90940.7872 1.70 0.35730.04260.02130.04930.06720.64460.8177 1.46 0.17860.04260.02130.01230.04480.29960.8481 1.15 0.00000.02130.02130.01230.01120.06610.87860.940.00000.01060.01230.01120.03420.90910.940.00000.00620.01120.01740.93950.960.00000.00560.00560.97000.980.00000.0000 1.0004 1.00。
第四节 瞬时单位线的汇流计算1945年,..C O 克拉克(..C O Clark )提出瞬时单位线的概念之后,1957年..J E 纳西(..J E Nash )进一步推导出瞬时单位线的数学方程,用矩法确定其中的参数,并提出时段转换等一整套方法,从而发展了..L K 谢尔曼(..L K Serman )提出的单位线法。
目前..J E Nash 瞬时单位线法在我国已得到比较广泛的运用。
所谓瞬时单位线就是指无穷小时段内流域上均匀的单位净雨所形成的地面径流过程线。
可用数学式表示,瞬时单位线的纵标值通常以(0,)u t 表示。
一、瞬时单位线的原理1、IUH 概念流域上输入一个单位净雨后,在流域出口的出流过程就是IUH ,前述UH 法中入流时段0t D ?的UH 就是IUH 。
由此可见,IUH 与UH 一样,同样是流域汇流曲线和线性时不变系统。
用IUH 来计算出流也符合径流成因公式。
00()()()()()ttA t A Q t i d i t d t t t t t t tt??==-抖蝌()A t t¶¶:流域汇流曲线,或流域瞬时单位线,令()()A t u t t ¶=¶,则上式可写成更紧凑的型式: 0()()()tQ t u t i d t t =ò2、瞬时入流与出流过程IUH 的瞬时入流,取为脉冲函数()t d ,它具有下列特性:01()0t d e e e e 骣£÷ç÷ç÷ç÷ç÷ç=?÷ç÷ç÷÷ç÷ç÷ç桫t 0 0<t < 0 t > ()1t dt d +?-?=ò 脉冲函数()t d 在瞬间具有最大值,且为1个单位,在其它时间均为0。
瞬时单位线法推求小流域设计洪水那岳河位于中国广西壮族自治区南宁市南部,是八尺江右岸支流,发源于南宁市良庆区南晓镇团甘村,蜿蜒西北流,经良庆区大塘镇和邕宁区新江镇,最后沿着良庆区和邕宁区边界,于邕宁区蒲庙镇那岳村西北汇入八尺江。
干流长56.1km L =,平均比降 6.91J =‰,流域面积2793.19km F =。
现采用瞬时单位线法推求那岳河百年一遇洪水。
(一) 设计暴雨计算1. 根据设计地点先从1、6、24小时H 、v C 等值线图查出相应历时的H 、vC 值(156H =,v10.34C =;693H =,v60.42C =;24115H =,v240.48C =),然后查模比系数p K 表计算各历时百年一遇暴雨(取s v 3.5C C =),具体计算见表1。
表1 暴雨频率计算表2. 时段t ∆选用1小时。
因流域超过100km ²,同时流域常有暴雨中心出现,故进行面雨量计算。
根据工程地点查设计暴雨时~面~深分区图,属第二区,再查~~T F α关系表第二区1%P 的1小时、6小时、24小时α值,并经内插得168.2%α=,677.0%α=,2488.8%α=,列于表2第(3)行。
1、6、24小时点雨量乘以相应时段的α值,即可得到1、6、24小时面雨量,计算结果见表2第(4)行。
表2 那岳河百年一遇小时时段净雨计算表3. 根据1、6、24小时面雨量计算暴雨指数n 值:126791 1.285lg1 1.285lg0.57171p p p H n H =+=+= 63241711 1.661lg1 1.661lg0.67271p p pH n H =+=+= 由n 值按暴雨公式计算2~5及7~23小时面雨量,列于表2中第(4)行。
当16t <<小时:211pn tp p H H t-=,当624t <<小时:312424pn tp p t H H -⎛⎫= ⎪⎝⎭。
瞬时速度最简单三个公式
嘿,宝子们!今天来给大家讲讲瞬时速度最简单的三个公式哦!
第一个公式就是v=△x/△t。
比如说,一辆车在一段时间内从 A 点开到了 B 点,移动的距离是 50 米,用的时间是 5 秒,那这 5 秒内的瞬时速度不就是 50 除以 5 等于 10 米每秒嘛,多直观呀!
第二个公式是用导数来求的啦!这就好像是打开了一扇神奇的大门。
就好比你在跑步,速度一直在变化,我们可以通过求某个时刻的导数来得到那一瞬间的瞬时速度呢,是不是很酷炫?
第三个公式呢就是用动能定理来倒推。
哎呀,这就像是解开一个神秘的谜题!比如一个物体动能增加了,那你想想,它的速度肯定有变化呀,就能通过动能定理算出瞬时速度啦!
怎么样,宝子们,有没有觉得这些公式很有趣呀?试着去用用,感受一下它们的奇妙之处吧!。
物理瞬时速度计算公式
物理瞬时速度的计算公式是v=Δs/Δt,其中Δs为物体在某一时刻或经过某一位置时的位移,Δt为发生这一位移所用的时间。
这个公式表示物体在某一时刻或经过某一位置时的速度,是矢量,既有大小又有方向,是理想状态下的量。
在匀变速直线运动中,瞬时速度也可以通过公式v(t)=v0+at 来计算,其中v0是初速度,a是加速度,t是时间。
此外,对于其他运动形式,如自由落体运动、上抛运动、下抛运动和平抛运动,瞬时速度的计算公式会有所不同。
请注意,瞬时速度是一个估计值,理论上来说,精确计算的时间应无限接近于0,但不为0。
因此,瞬时速度的计算需要借助微积分等高级数学工具,在实际应用中,通常使用平均速度来近似表示瞬时速度。
1、推理公式法:①洪峰流量(集雨面积小于2km 2) 洪峰流量按下式计算:Q s =式中:Q s —洪峰流量;K —径流系数,取;I —最大1h 降雨强度(mm/h ),查《四川省中小流域暴雨洪水计算手册》计算得5年一遇最大1h 降雨强度;11H K I P •=F —集水面积(km 2),根据地形图及项目区实际情况确定。
②排水沟设计流量过水能力按明渠恒定均匀流计算:式中:A —过水断面面积(m 2);C —谢才系数 ;R —水力半径(R=A/X );n —糙率,取n =;X —湿周;i —渠道纵坡,取%。
③洪水计算(集雨面积小于300km 2) 推理公式法基本公式:Q =ψ(S /τn )F = ψi F式中:Q —设计最大洪峰流量,m 3/s ; ψ—洪峰径流系数;i —最大平均暴雨强度,i=S/t n ;S —暴雨雨力,即最大1h 暴雨量,mm/小时; τ—流域汇流时间,小时; n —暴雨公式指数; F —流域面积,km 2。
①确定设计流域的集雨面积F ,河道长度L 以及河道比降J ; ②由流域特征系数θ计算汇流参数m 值;流域特征系数:4131F J L•=θ (3-1)当θ=1~30时,204.040.0m θ•= (3-2) 当θ=30~300时,636.0092.0m θ•= (3-3) ③设计点暴雨:由暴雨等值线图确定设计流域的暴雨特征值:6/1H 、1H 、6H 、24H 及其相应的Cv 、Cs ,并根据Cs=由皮尔逊Ⅲ型频率表查出设计频率的K p 值,算出H p ;p K H H p •= (3-4)④设计面暴雨:根据流域重心位置查得流域暴雨折减系数,并对暴雨折减系数进行修正;660.94a a =修正 (3-5) 242496.0a a =修正 (3-6)⑤计算各时段暴雨公式指数n 1、n 2、n 3以及设计频率的暴雨雨力S ;当历时t=6~24小时范围内时:⎪⎪⎭⎫⎝⎛•+=ppH H 2463lg 661.11n (3-7) 124324-•=n P P H S (3-8)当历时t=1~6小时范围内时:⎪⎪⎭⎫⎝⎛•+=p pH H 612lg 285.11n (3-9) 1626-•=n P P H S (3-10)当历时t=1/6~1小时范围内时:⎪⎪⎭⎫⎝⎛•+=ppH H 16/11lg 285.11n (3-11) 16/11)61(-•=n P P H S (3-12)⑥假定用n 3作初试计算(如属面积很小的设计流域,亦可先用n 1作试算),算出当ψ=1的流域汇流时间t 0;当ψ=1时的流域汇流时间:nS m -⎪⎪⎪⎪⎭⎫⎝⎛•=44410383.0t θ (3-13)⑦算出产流参数μ值,计算洪峰径流系数ψ值;当Cv=、Cs=、K p =时,19.0p 4.8-••=F K μ (3-14)n S0t 1.1-1μψ•= (3-15)⑧计算设计流域汇流时间t ,如果t 不是介于6~24小时,则应改用n 2或n 1并改算出相应的S ,然后从⑥起重新计算;流域汇流时间:nt --•=410t ψ(3-16)⑨用推理公式计算出设计最大流量;推理公式的基本关系式:F SQ •••=n t278.0ψ (3-17) ⑩校核:由第⑨步的最大设计流量反求m '值与由第②步确定的m 值是否十分接近。