Curva IDF de Cuenca Ver1
28
DATOS ESTACIÓ Estación: Coordenadas UTM H Deno$inación: DATOS MENS A+o Enero ,e-rero Mar.o A-ri/ Ma0o 1969 30.00 34.00 12.00 16.00 0.00 1970 40.00 21.00 20.00 0.00 12.00 1971 24.00 36.00 8.00 0.00 0.00 1972 26.00 36.00 20.00 12.00 6.00 1973 26.00 18.00 32.00 * 21.00 1974 66.50 37.00 39.00 29.00 0.00 1975 32.00 54.00 31.00 47.00 4.30 1976 37.00 47.00 30.00 4.20 14.60 1977 15.40 45.00 40.00 5.30 0.00 1978 34.50 25.00 43.40 45.20 0.00 1979 27.25 22.10 31.70 26.35 0.00 1980 20.00 19.20 20.00 7.50 0.00 1981 29.50 43.00 29.00 15.00 0.00 1982 44.50 21.30 45.10 40.90 2.70 1983 54.50 11.30 * 3.00 3.00 1984 40.00 40.00 40.20 10.00 0.00 1985 30.20 41.50 30.00 20.00 0.00 1986 27.60 33.40 38.60 17.65 0.00 1987 27.60 33.40 38.60 17.65 0.00 1988 27.60 33.40 38.60 17.65 0.00 1999 27.60 33.40 38.60 17.65 0.00 1990 25.00 25.30 47.20 15.30 0.00 1991 * 19.50 20.00 5.00 0.00 1992 28.00 28.00 25.00 0.00 0.00 1993 28.00 28.00 25.75 6.00 0.00 1994 * * 26.50 12.00 0.00 1995 30.50 26.00 14.50 4.50 0.00 1996 20.00 28.00 25.00 20.00 0.00 1997 60.00 60.00 28.00 0.00 0.00 1998 30.00 35.00 44.00 22.00 0.00 1999 22.00 49.00 28.00 8.00 0.00 2000 85.00 12.00 25.00 0.00 0.00 2001 32.00 26.00 38.00 10.00 0.00 2002 10.40 45.00 18.00 57.90 0.00 2003 41.30 27.00 0.00 0.00 0.00 2004 38.40 45.10 15.40 65.20 5.00 2005 35.10 32.00 10.00 60.30 0.00 2006 36.40 21.00 32.00 13.00 0.00 2007 32.00 31.00 34.00 8.20 0.00 MA' 12*33 43*33 )5*(3 42*(3 ("*33
-
Upload
vladimir-orellana -
Category
Documents
-
view
6 -
download
0
description
Idf
Transcript of Curva IDF de Cuenca Ver1
Registros PluvimetroDATOS ESTACIN PLUVIOMTRICAEstacin:Coordenadas UTM Huso 31 (m)X =Cota =Denominacin:Y =DATOS MENSUALES DE PRECIPITACIN MXIMA EN 24 Hrs. (mm)AoEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreMximo196930.0034.0012.0016.000.0014.000.000.002.000.0030.0035.0035.00197040.0021.0020.000.0012.000.000.000.0018.008.006.0020.7040.00197124.0036.008.000.000.000.000.007.000.0020.0016.0028.0036.00197226.0036.0020.0012.006.006.000.000.008.006.0014.0027.0036.00197326.0018.0032.00*21.0030.506.0018.006.0026.0017.5036.0036.00197466.5037.0039.0029.000.000.002.0022.009.5015.0013.00*66.50197532.0054.0031.0047.004.303.500.004.5025.0016.0014.0050.4054.00197637.0047.0030.004.2014.600.000.808.0012.203.208.2016.1047.00197715.4045.0040.005.300.000.002.3010.4020.5022.3032.7024.5045.00197834.5025.0043.4045.200.000.000.002.500.0018.1018.6026.2045.20197927.2522.1031.7026.350.000.001.002.502.5023.0513.0524.8531.70198020.0019.2020.007.500.000.002.00*5.0028.007.5023.5028.00198129.5043.0029.0015.000.000.000.0017.1019.5025.3033.8031.8043.00198244.5021.3045.1040.902.700.000.000.9022.3019.2018.0015.3045.10198354.5011.30*3.003.001.002.003.001.008.004.0017.6054.50198440.0040.0040.2010.000.000.000.003.000.0020.0035.0025.0040.20198530.2041.5030.0020.000.0010.005.0015.0025.0025.2025.2030.2041.50198627.6033.4038.6017.650.005.003.5010.5014.5019.3523.6032.6038.60198727.6033.4038.6017.650.005.003.5010.5014.5019.3523.6032.6038.60198827.6033.4038.6017.650.005.003.5010.5014.5019.3523.6032.6038.60199927.6033.4038.6017.650.005.003.5010.5014.5019.3523.6032.6038.60199025.0025.3047.2015.300.000.002.006.004.0013.5022.0035.0047.201991*19.5020.005.000.000.000.005.0020.0015.0020.0021.0021.00199228.0028.0025.000.000.0015.0017.0015.0011.0020.0025.0035.0035.00199328.0028.0025.756.000.007.508.507.5015.5022.5017.5031.5031.501994**26.5012.000.000.000.000.0020.0025.0010.0028.0028.00199530.5026.0014.504.500.000.000.007.5010.0040.008.0021.0040.00199620.0028.0025.0020.000.000.000.0017.0010.0010.0010.0042.0042.00199760.0060.0028.000.000.000.000.000.0053.0028.0023.0018.0060.00199830.0035.0044.0022.000.000.002.000.007.0030.0036.0024.0044.00199922.0049.0028.008.000.000.002.000.0017.0018.0023.0023.0049.00200085.0012.0025.000.000.003.000.000.000.0028.0014.0028.0085.00200132.0026.0038.0010.000.000.000.002.0015.008.0016.0012.0038.00200210.4045.0018.0057.900.000.003.200.000.0034.2040.4080.7080.70200341.3027.000.000.000.000.000.000.0014.300.0015.1058.3058.30200438.4045.1015.4065.205.000.006.007.005.1026.3046.4035.2065.20200535.1032.0010.0060.300.000.000.000.0011.3041.5028.3047.0060.30200636.4021.0032.0013.000.000.000.000.000.0026.2030.0034.0036.40200732.0031.0034.008.200.000.000.000.00*48.2030.4062.0062.00MAX85.0060.0047.2065.2021.0030.5017.0022.0053.0048.2046.4080.7085.00
Precip. Mx. ProbableDistribucin de probabilidades pluviomtricas mediante GumbelNAoMesPrecipitacin (mm)Max. Precip.xi(xi - x)^211969035.00103.987698882321970040.0027.01333990831971036.0084.592827087441972036.0084.592827087451973036.0084.592827087461974066.50453.799237343971975054.0077.485134779881976047.003.249237343991977045.000.0389809336101978045.200.0000065746111979031.70182.18121980028.00295.75131981043.004.83141982045.100.01151983054.5086.54161984040.2024.97171985041.5013.67181986038.6043.53191987038.6043.53201988038.6043.53211999038.6043.53221990047.204.01231991021.00585.52241992035.00103.99251993031.50187.62261994028.00295.75271995040.0027.01281996042.0010.22291997060.00219.12301998044.001.43311999049.0014.46322000085.001584.24332001038.0051.80342002080.701260.43352003058.30171.68362004065.20400.10372005060.30228.09382006036.4077.39392007062.00282.33Clculo variables probabilsticasClculo de las Precipitaciones Diarias Mximas Probables para distintas frecuencias45.20mmPeriodoVariablePrecip.Prob. deCorreccinRetornoReducida(mm)ocurrenciaintervalo fijoAosYTXT'(mm)F(xT)XT (mm)20.366542.93520.500048.516851.499955.10530.800062.269013.77mm102.250463.16290.900071.3741253.198573.34380.960082.8785503.901980.89650.980091.413110.74mm1004.600188.39350.990099.88465006.2136105.71780.9980119.461239.00mm39Suma1762.77206.6
Tabla PdCoeficientes para las relaciones a la lluvia de duracin 24 horasFuente: D. F. Campos A., 1978Duraciones, en horas12345681218240.300.390.460.520.570.610.680.800.911.00Precipitaciones mximas para diferentes tiempos de duracin de lluviasTiempo deCocientePrecipitacin mxima Pd (mm) por tiempos de duracinDuracin2 aos5 aos10 aos25 aos50 aos100 aos500 aos24 hrX2448.516862.269071.374182.878591.413199.8846119.461218 hrX18 = 91%44.150356.664864.950466.302883.185990.8950108.709712 hrX12 = 80%38.813449.815257.099366.302873.130479.907795.56898 hrX8 = 68%32.991442.342948.534456.357462.160967.921681.23366 hrX6 = 61%29.595237.984143.538250.555955.762060.929672.87135 hrX5 = 57%27.654635.493340.683247.240752.105456.934268.09294 hrX4 = 52%25.228732.379937.114543.096847.534851.940062.11983 hrX3 = 46%22.317728.643732.832138.124142.050045.946954.95212 hrX2 = 39%18.921524.284927.835932.322635.651138.955046.58991 hrX1 = 30%14.555018.680721.412224.863527.423929.965435.8383
Tabla IIntensidades de lluvia a partir de Pd, segn Duracin de precipitacin y Frecuencia de la mismaTiempo de duracinIntensidad de la lluvia (mm /hr) segn el Periodo de RetornoHrmin2 aos5 aos10 aos25 aos50 aos100 aos500 aos24 hr14402.02152.59452.97393.45333.80894.16194.977518 hr10802.45283.14803.60843.68354.62145.04976.039412 hr7203.23454.15134.75835.52526.09426.65907.96418 hr4804.12395.29296.06687.04477.77018.490210.15426 hr3604.93256.33077.25648.42609.293710.154912.14525 hr3005.53097.09878.13669.448110.421111.386813.61864 hr2406.30728.09509.278610.774211.883712.985015.53003 hr1807.43929.547910.944012.708014.016715.315618.31742 hr1209.460812.142413.917916.161317.825519.477523.29491 hr6014.555018.680721.412224.863527.423929.965435.8383
Regresiones I-D-TRepresentacin matemtica de las curvas Intensidad - Duracin - Perodo de retorno:en la cual:I =Intensidad (mm/hr)t =Duracin de la lluvia (min)T =Perodo de retorno (aos)K, m, n =Parmetros de ajusteRealizando un cambio de variable:Con lo que de la anterior expresin se obtiene:Periodo de retorno para T = 2 aosSerie T= 2 aosNxyln xln yln x*ln y(lnx)^2xy114402.02157.27240.70395.118752.887814402.0215210802.45286.98470.89726.266948.786310802.452837203.23456.57931.17397.723143.28657203.234544804.12396.17381.41688.747138.11564804.123953604.93255.88611.59599.393434.64623604.932563005.53095.70381.71049.755532.53313005.530972406.30725.48061.841710.093630.03742406.307281807.43925.19302.006810.421126.96681807.439291209.46084.78752.247210.758222.92011209.4608106014.55504.09432.677910.964416.76376014.555010498060.058458.155516.271589.2419346.9435Ln (d) =5.2118d =183.4189n =-0.6164Periodo de retorno para T = 5 aosSerie T= 5 aosNxyln xln yln x*ln y(lnx)^2xy114402.59457.27240.95346.933652.887814402.5945210803.14806.98471.14688.009948.786310803.148037204.15136.57931.42349.365043.28657204.151344805.29296.17381.666410.287738.11564805.292953606.33075.88611.845410.862334.64623606.330763007.09875.70381.959911.178932.53313007.098772408.09505.48062.091211.461330.03742408.095081809.54795.19302.256311.717026.96681809.5479912012.14244.78752.496711.953022.920112012.1424106018.68074.09432.927511.986216.76376018.680710498077.082058.155518.7670103.7548346.9435Ln (d) =5.4613d =235.4094n =-0.6164Periodo de retorno para T = 10 aosSerie T= 10 aosNxyln xln yln x*ln y(lnx)^2xy114402.97397.27241.08997.926152.887814402.9739210803.60846.98471.28338.963248.786310803.608437204.75836.57931.559910.262943.28657204.758344806.06686.17381.802811.130338.11564806.066853607.25645.88611.981911.665534.64623607.256463008.13665.70382.096411.957332.53313008.136672409.27865.48062.227712.209330.03742409.2786818010.94405.19302.392812.425726.966818010.9440912013.91794.78752.633212.606322.920112013.9179106021.41224.09433.064012.544916.76376021.412210498088.353258.155520.1318111.6914346.9435Ln (d) =5.5978d =269.8316n =-0.6164Periodo de retorno para T = 25 aosSerie T= 25 aosNxyln xln yln x*ln y(lnx)^2xy114403.45337.27241.23939.012852.887814403.4533210803.68356.98471.30399.107148.786310803.683537205.52526.57931.709311.246143.28657205.525244807.04476.17381.952312.052938.11564807.044753608.42605.88612.131312.545234.64623608.426063009.44815.70382.245812.809732.53313009.4481724010.77425.48062.377213.028330.037424010.7742818012.70805.19302.542213.201726.966818012.7080912016.16134.78752.782613.321822.920112016.1613106024.86354.09433.213413.156816.76376024.8635104980102.087858.155521.4973119.4823346.9435Ln (d) =5.8346d =341.9309n =-0.6336Periodo de retorno para T = 50 aosSerie T= 50 aosNxyln xln yln x*ln y(lnx)^2xy114403.80897.27241.33739.725652.887814403.8089210804.62146.98471.530710.691548.786310804.621437206.09426.57931.807311.890943.28657206.094244807.77016.17382.050312.658038.11564807.770153609.29375.88612.229313.122134.64623609.2937630010.42115.70382.343813.368732.533130010.4211724011.88375.48062.475213.565530.037424011.8837818014.01675.19302.640213.710726.966818014.0167912017.82554.78752.880613.791022.920112017.8255106027.42394.09433.311413.558116.76376027.4239104980113.159258.155522.6063126.0822346.9435Ln (d) =5.8453d =345.5894n =-0.6164Periodo de retorno para T = 100 aosSerie T= 100 aosNxyln xln yln x*ln y(lnx)^2xy114404.16197.27241.426010.370252.887814404.1619210805.04976.98471.619311.310648.786310805.049737206.65906.57931.896012.474043.28657206.659044808.49026.17382.138913.205238.11564808.4902536010.15495.88612.318013.643834.646236010.1549630011.38685.70382.432513.874232.533130011.3868724012.98505.48062.563814.051230.037424012.9850818015.31565.19302.728914.170926.966818015.3156912019.47754.78752.969314.215322.920112019.4775106029.96544.09433.400013.920916.76376029.9654104980123.646158.155523.4926131.2364346.9435Ln (d) =5.9339d =377.6164n =-0.6164Periodo de retorno para T = 500 aosSerie T= 500 aosNxyln xln yln x*ln y(lnx)^2xy114404.97757.27241.604911.671752.887814404.9775210806.03946.98471.798312.560748.786310806.039437207.96416.57932.074913.651643.28657207.9641448010.15426.17382.317914.310138.115648010.1542536012.14525.88612.496914.697234.646236012.1452630013.61865.70382.611414.895132.533130013.6186724015.53005.48062.742815.032130.037424015.5300818018.31745.19302.907915.100326.966818018.3174912023.29494.78753.148215.072222.920112023.2949106035.83834.09433.579014.653716.76376035.8383104980147.879658.155525.2823141.6448346.9435Ln (d) =6.1129d =451.6259n =-0.6164
Regresiones I-D-T
I Vs. tDuracin (min)Intensidad (mm/hr)Regresin T= 2 aosy = 27,4095x-0,6164
R = 0,999
Cte. Regresin Cuenca
I vs TDuracin (min)Intensidad (mm/hr)Regresin T= 5 aos
Curvas IDF Cuenca
I vs TDuracin (min)Intensidad (mm/hr)Regresin T= 10 aos
I vs TDuracin (min)Intensidad (mm/hr)Regresin T= 25 aos
I vs TDuracin (min)Intensidad (mm/hr)Regresin T= 50 aos
I vs TDuracin (min)Intensidad (mm/hr)Regresin T= 100 aos
Duracin (min)Intensidad (mm/hr)Regresin T= 500 aos
Resumen de aplicacin de regresin potencialPeriodo deTrmino ctte. deCoef. deRetorno (aos)regresin (d)regresin [n]2183.41890738319-0.616386088095235.40936255578-0.6163860880910269.83156771881-0.6163860880925341.93087946892-0.6336250046350345.58937145529-0.61638608809100377.61638612925-0.61638608809500451.62592786760-0.61638608809Promedio =315.06034322555-0.61884879045En funcin del cambio de variable realizado, se realiza otra regresin de potencia entre las columnas del periodo de retorno (T) y el trmino constante de regresin (d), para obtener valores de la ecuacin:Regresin potencialNxyln xln yln x*ln y(lnx)^2xy12183.41890.69315.21183.61250.48052183.418925235.40941.60945.46138.78972.59035235.4094310269.83162.30265.597812.88945.301910269.8316425341.93093.21895.834618.780910.361225341.9309550345.58943.91205.845322.866815.303950345.58946100377.61644.60525.933927.326521.2076100377.61647500451.62596.21466.112937.989038.6214500451.625976922205.422422.555839.9975132.254893.8667Ln (K) =5.2010K =181.4568m =0.1592Termino constante de regresin (K) =181.4568Coef. de regresin (m) =0.159177
d Vs. TPerodo de Retorno (aos)Constante de Regresin d
La ecuacin de intensidad vlida para la cuenca resulta:0.159177Donde:I =181.4568* TI = intensidad de precipitacin (mm/hr)0.61885T = Periodo de Retorno (aos)tt = Tiempo de duracin de precipitacin (min)Tabla de intensidades - Tiempo de duracinFrecuenciaDuracin en minutosaos51015202530354045505560274.8448.7437.9231.7427.6424.6922.4520.6719.2118.0016.9716.08586.5956.3943.8736.7231.9828.5725.9723.9122.2320.8319.6318.601096.6962.9748.9941.0035.7131.9029.0026.7024.8223.2621.9220.7825111.8872.8556.6947.4441.3236.9133.5530.8928.7226.9125.3724.0450124.9381.3563.3052.9746.1441.2237.4734.5032.0730.0528.3326.84100139.5090.8470.6859.1551.5246.0341.8438.5235.8133.5531.6329.97500180.23117.3691.3276.4366.5759.4754.0649.7746.2743.3540.8738.72
T2T5T10T25T50T100T500TIEMPO DE DURACION (min)INTENSIDAD (mm/h)Curvas IDF de la cuenca
MBD000D51C0.unknown
MBD0015C87E.unknown
MBD00167B9A.unknown
MBD0015C87C.unknown
MBD0015C87D.unknown
MBD000D51C1.unknown
MBD00158F3D.unknown
MBD000C83C5.unknown
MBD000D51BF.unknown
MBD000C83C3.unknown
MBD000C83C4.unknown
