Registros PluvimetroDATOS ESTACIN PLUVIOMTRICAEstacin:allpachacaCoordenadas UTM Huso 31 (m)X =Cota =Denominacin:Y =DATOS MENSUALES DE PRECIPITACIN MXIMA EN 24 Hrs. (mm)AoEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreMximo19700.0019710.0019720.0019730.0019740.0019750.0019760.0019770.0019780.0019790.0019800.0019810.0019820.0019830.001984148.3178.1106.652.16.89.54.38.236.048.178.6158.1178.101985104.297.259.642.819.14.13.75.230.728.143.8110.6110.551986135.2148.9154.770.48.13.27.515.249.932.756.382.8154.691987146.396.869.223.111.06.813.29.414.342.061.870.8146.301988117.1118.2106.065.012.14.46.15.221.634.932.8125.3125.281989149.3107.7106.039.513.93.95.912.535.438.356.866.1149.29199099.8129.586.620.717.46.22.512.124.026.9146.2137.9146.17199198.3129.392.771.915.115.212.012.015.456.656.431.6129.291992105.0179.3149.028.49.723.215.731.414.133.835.541.3179.321993129.5149.586.541.010.66.114.112.020.747.966.779.9149.511994110.1167.7124.334.68.419.812.822.012.631.645.571.3167.701995152.7128.0111.260.615.96.711.614.339.043.997.3123.3152.721996117.4148.2125.558.42.73.20.011.823.923.142.195.4148.161997145.4116.3114.943.88.10.56.312.028.639.879.989.6145.361998108.7102.2142.128.67.13.90.212.025.762.729.363.5142.121999145.1170.0100.241.74.50.33.922.254.433.1108.398.9170.002000155.1194.695.327.310.815.026.86.512.970.136.767.6194.552001148.8134.9109.421.311.44.014.36.133.428.780.080.1148.752002135.9148.7100.521.236.013.337.911.940.343.434.753.9148.722003133.9118.5122.356.188.53.014.724.121.226.454.641.8133.92200487.4183.9135.639.87.220.347.712.954.225.451.4179.5183.90MAX155.05194.55154.6971.8888.5423.1647.7031.4154.4470.05146.17179.50194.55

Precip. Mx. ProbableDistribucin de probabilidades pluviomtricas mediante GumbelNAoMesPrecipitacin (mm)Max. Precip.xi(xi - x)^21197000.008382.292197100.008382.293197200.008382.294197300.008382.295197400.008382.296197500.008382.297197600.008382.298197700.008382.299197800.008382.2910197900.008382.2911198000.008382.2912198100.008382.29Clculo variables probabilsticasClculo de las Precipitaciones Diarias Mximas Probables para distintas frecuencias13198200.008382.2914198300.008382.2991.55mmPeriodoVariablePrecip.Prob. deCorreccin1519840178.107490.26RetornoReducida(mm)ocurrenciaintervalo fijo1619850110.55360.93AosYTXT'(mm)F(xT)XT (mm)1719860154.693985.4220.366583.26460.500094.08901819870146.302996.9151.4999127.86340.8000144.48571919880125.281137.5150.47mm102.2504157.39170.9000177.85262019890149.293333.06253.1985194.70080.9600220.01192119900146.172983.13503.9019222.37880.9800251.28802219910129.291424.0539.35mm1004.6001249.85240.9900282.33322319920179.327703.455006.2136313.33980.9980354.07392419930149.513358.892519940167.705798.3468.84mm2619950152.723741.472719960148.163204.252819970145.362895.122919980142.122557.153019990170.006153.903120000194.5510608.383220010148.753271.383320020148.723267.603420030133.921794.973520040183.908527.6335Suma3204.486593.8

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 hrX2494.0890144.4857177.8526220.0119251.2880282.3332354.073918 hrX18 = 91%85.6210131.4819161.8459176.0095228.6721256.9232322.207312 hrX12 = 80%75.2712115.5885142.2821176.0095201.0304225.8666283.25928 hrX8 = 68%63.980598.2502120.9398149.6081170.8759191.9866240.77036 hrX6 = 61%57.394388.1363108.4901134.2072153.2857172.2233215.98515 hrX5 = 57%53.630782.3568101.3760125.4068143.2342160.9299201.82214 hrX4 = 52%48.926375.132592.4834114.4062130.6698146.8133184.11853 hrX3 = 46%43.280966.463481.8122101.2055115.5925129.8733162.87402 hrX2 = 39%36.694756.349469.362585.804698.0023110.1100138.08881 hrX1 = 30%28.226743.345753.355866.003675.386484.7000106.2222

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 hr14403.92046.02027.41059.167210.470311.763914.753118 hr10804.75677.30468.99149.778312.704014.273517.900412 hr7206.27269.632411.856814.667516.752518.822223.60498 hr4807.997612.281315.117518.701021.359523.998330.09636 hr3609.565714.689418.081722.367925.547628.703935.99755 hr30010.726116.471420.275225.081428.646832.186040.36444 hr24012.231618.783123.120828.601532.667436.703346.02963 hr18014.427022.154527.270733.735238.530843.291154.29132 hr12018.347428.174734.681342.902349.001255.055069.04441 hr6028.226743.345753.355866.003675.386484.7000106.2222

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)^2xy114403.92047.27241.36629.935552.887814403.9204210804.75676.98471.559610.893148.786310804.756737206.27266.57931.836212.080843.28657206.272644807.99766.17382.079112.836138.11564807.997653609.56575.88612.258213.291934.64623609.5657630010.72615.70382.372713.533332.533130010.7261724012.23165.48062.504013.723630.037424012.2316818014.42705.19302.669113.860526.966818014.4270912018.34744.78752.909513.929122.920112018.3474106028.22674.09433.340313.676216.76376028.2267104980116.471758.155522.8948127.7601346.9435Ln (d) =5.8741d =355.7059n =-0.6164Periodo de retorno para T = 5 aosSerie T= 5 aosNxyln xln yln x*ln y(lnx)^2xy114406.02027.27241.795113.054952.887814406.0202210807.30466.98471.988513.889148.786310807.304637209.63246.57932.265114.902943.28657209.6324448012.28136.17382.508115.484338.115648012.2813536014.68945.88612.687115.816734.646236014.6894630016.47145.70382.801615.979932.533130016.4714724018.78315.48062.933016.074530.037424018.7831818022.15455.19303.098016.088026.966818022.1545912028.17474.78753.338415.982722.920112028.1747106043.34574.09433.769215.432416.76376043.3457104980178.857258.155527.1842152.7053346.9435Ln (d) =6.3030d =546.2317n =-0.6164Periodo de retorno para T = 10 aosSerie T= 10 aosNxyln xln yln x*ln y(lnx)^2xy114407.41057.27242.002914.565952.887814407.4105210808.99146.98472.196315.340348.786310808.9914372011.85686.57932.472916.269943.286572011.8568448015.11756.17382.715916.767138.115648015.1175536018.08175.88612.894917.039734.646236018.0817630020.27525.70383.009417.165032.533130020.2752724023.12085.48063.140717.213230.037424023.1208818027.27075.19303.305817.167026.966818027.2707912034.68134.78753.546216.977422.920112034.6813106053.35584.09433.977016.283116.76376053.3558104980220.161858.155529.2620164.7885346.9435Ln (d) =6.5108d =672.3763n =-0.6164Periodo de retorno para T = 25 aosSerie T= 25 aosNxyln xln yln x*ln y(lnx)^2xy114409.16727.27242.215616.112952.887814409.1672210809.77836.98472.280215.926348.786310809.7783372014.66756.57932.685617.669443.286572014.6675448018.70106.17382.928618.080438.115648018.7010536022.36795.88613.107618.291834.646236022.3679630025.08145.70383.222118.378332.533130025.0814724028.60155.48063.353518.379130.037424028.6015818033.73525.19303.518518.271626.966818033.7352912042.90234.78753.758917.995822.920112042.9023106066.00364.09434.189717.154116.76376066.0036104980271.005758.155531.2604176.2599346.9435Ln (d) =6.8109d =907.7009n =-0.6336Periodo de retorno para T = 50 aosSerie T= 50 aosNxyln xln yln x*ln y(lnx)^2xy1144010.47037.27242.348517.079652.8878144010.47032108012.70406.98472.541917.754648.7863108012.7040372016.75256.57932.818518.543943.286572016.7525448021.35956.17383.061518.901038.115648021.3595536025.54765.88613.240519.074234.646236025.5476630028.64685.70383.355019.136432.533130028.6468724032.66745.48063.486419.107630.037424032.6674818038.53085.19303.651518.961926.966818038.5308912049.00124.78753.891818.632222.920112049.0012106075.38644.09434.322617.698316.76376075.3864104980311.066658.155532.7184184.8897346.9435Ln (d) =6.8565d =950.0007n =-0.6164Periodo de retorno para T = 100 aosSerie T= 100 aosNxyln xln yln x*ln y(lnx)^2xy1144011.76397.27242.465017.926752.8878144011.76392108014.27356.98472.658418.568248.7863108014.2735372018.82226.57932.935019.310443.286572018.8222448023.99836.17383.178019.620238.115648023.9983536028.70395.88613.357019.759834.646236028.7039630032.18605.70383.471519.800932.533130032.1860724036.70335.48063.602919.746030.037424036.7033818043.29115.19303.767919.566826.966818043.2911912055.05504.78754.008319.189922.920112055.0550106084.70004.09434.439118.175316.76376084.7000104980349.497258.155533.8833191.6641346.9435Ln (d) =6.9730d =1067.3679n =-0.6164Periodo de retorno para T = 500 aosSerie T= 500 aosNxyln xln yln x*ln y(lnx)^2xy1144014.75317.27242.691519.573352.8878144014.75312108017.90046.98472.884820.149748.7863108017.9004372023.60496.57933.161520.800043.286572023.6049448030.09636.17383.404421.018038.115648030.0963536035.99755.88613.583421.092634.646236035.9975630040.36445.70383.697921.092332.533130040.3644724046.02965.48063.829320.986930.037424046.0296818054.29135.19303.994420.742626.966818054.2913912069.04444.78754.234820.273822.920112069.04441060106.22224.09434.665519.102316.763760106.2222104980438.304258.155536.1475204.8315346.9435Ln (d) =7.1994d =1338.5855n =-0.6164

Regresiones I-D-T

I Vs. tDuracin (min)Intensidad (mm/hr)Regresin T= 2 aosy = 27,4095x-0,6164

R = 0,9

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]2355.70586790726-0.616386088095546.23167140147-0.6163860880910672.37633151180-0.6163860880925907.70089603938-0.6336250046350950.00068351900-0.616386088091001067.36785570514-0.616386088095001338.58547361460-0.61638608809Promedio =833.99553995695-0.61884879045En 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)^2xy12355.70590.69315.87414.07160.48052355.705925546.23171.60946.303010.14442.59035546.2317310672.37632.30266.510814.99175.301910672.3763425907.70093.21896.810921.923510.361225907.7009550950.00073.91206.856526.822615.303950950.000761001067.36794.60526.973032.111621.20761001067.367975001338.58556.21467.199444.741338.62145001338.585576925837.968822.555846.5277154.806793.8667Ln (K) =5.9042K =366.5864m =0.2305Termino constante de regresin (K) =366.5864Coef. de regresin (m) =0.230451

d Vs. TPerodo de Retorno (aos)Constante de Regresin d

La ecuacin de intensidad vlida para la cuenca resulta:0.230451Donde:I =366.5864* 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 minutosaos510152025303540455055602158.85103.4480.4967.3658.6752.4147.6443.8640.7838.2136.0234.135196.20127.7699.4183.2072.4764.7458.8554.1850.3747.1944.4942.1510230.18149.89116.6397.6185.0275.9569.0463.5659.0955.3652.1949.4625284.30185.13144.05120.56105.0193.8085.2778.5172.9968.3864.4661.0850333.54217.20169.00141.44123.19110.05100.0492.1085.6380.2275.6371.66100391.31254.82198.27165.94144.53129.11117.36108.06100.4694.1288.7384.08500567.02369.24287.30240.45209.43187.09170.06156.58145.57136.38128.57121.83

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