Nash

METODO DE NASH

mAoQiTT/(T-1)XQ XQX

11984489.8531.0001.033-1.851-906.71239953.033.426

21985422.7515.5001.069-1.538-650.19178717.562.365

31986413.3010.3331.107-1.355-560.02170816.881.836

41987406.257.7501.148-1.222-496.44165039.061.493

51988379.546.2001.192-1.118-424.33144050.621.250

61989356.605.1671.240-1.030-367.30127163.561.061

71990333.004.4291.292-0.954-317.68110889.000.910

81991320.923.8751.348-0.887-284.66102989.660.787

91992305.453.4441.409-0.827-252.6193299.710.684

101993296.493.1001.476-0.772-228.8987906.310.596

111994295.632.8181.550-0.720-212.8587397.100.518

121995287.102.5831.632-0.672-192.9382426.410.452

131996244.782.3851.722-0.627-153.4859917.250.393

141997216.972.2141.824-0.583-126.4947075.980.340

151998213.982.0671.937-0.542-115.9845787.440.294

161999204.691.9382.066-0.502-102.7541898.000.252

172000200.911.8242.214-0.462-92.8240364.830.213

182001194.671.7222.385-0.423-82.3537896.410.179

192002164.151.6322.582-0.385-63.2026945.220.148

202003154.751.5502.818-0.347-53.7023947.560.120

212004153.871.4763.101-0.308-47.3923675.980.095

222005145.761.4093.445-0.270-39.3621245.980.073

232006142.661.3483.874-0.231-32.9520351.880.053

242007115.091.2924.425-0.190-21.8713245.710.036

252008101.231.2405.167-0.147-14.8810247.510.022

26200995.531.1926.208-0.101-9.659125.980.010

27201078.451.1487.757-0.051-4.006154.400.003

28201176.601.10710.3460.0060.465867.560.000

29201276.481.06915.4930.0765.815849.190.006

30201354.801.03331.3030.1759.593003.040.031

6942.250-17.858-5839.622033248.8217.646

N AOS:30

T =25Aos

T =50Aos

T =75Aos

De la Tabla se obtiene :

Q6942.25

Q2033248.82

X-17.858

X17.646

Q X-5839.62

231.41

-0.595

Calculo de Parametros de a y b :

86.56

-243.33

Calculo del Caudal Maximo :

T= 25 AOS512.71m/s

T= 50 AOS587.04m/s

T= 75 AOS630.25m/s

Calculo de la Desviacion Estandar y Covarianza :

210.472

12802629.16

-51213.90

Calculo de X Para T:

T = 25AOS-1.751

T= 50 AOS-2.057

T= 75 AOS-2.234

Calculo del intervalo de Confianza :

T = 2547.658

T = 5049.560

T = 7550.829

Clculo del Caudal de diseo :

Para T = 25 aos

Qd560.37m3/s

Para T = 50 aos

Qd636.60m3/s

Para T = 75 aos

Qd681.08m3/s

METODO DE GUMBEL

NAO QiQi

1198495.539125.98

21985153.8723675.98

31986216.9747075.98

41987422.75178717.56

51988489.85239953.03

61989296.4987906.31

71990333.00110889.00

81991244.7859917.25

91992287.1082426.41

101993356.60127163.56

111994379.54144050.62

121995406.25165039.06

131996413.30170816.88

141997200.9140364.83

151998142.6620351.88

161999204.6941898.00

172000145.7621245.98

182001305.4593299.71

192002115.0913245.71

202003164.1526945.22

212004295.6387397.10

222005194.6737896.41

232006320.92102989.66

242007213.9845787.44

252008101.2310247.51

262009154.7523947.56

27201054.803003.04

28201176.605867.56

29201278.456154.40

30201376.485849.19

6942.252033248.82

Qm231.408

Calculo de la desviacion Estandar de los Caudales:

121.31

Calculo de los coeficientes N y N :

De la tabla 6,13 , para N = 30aos , se tiene :

N = 30Yn n

0.536221.11238

Obtencion del caudal maximo :Para T = 25

Q max =523.96m3/s

Para T =50

Q max =599.55m3/s

Para T =75

Q max =643.77m3/s

Calculo del Factor de correcion :

Para T =25

=0.96m3/s

Para T = 50

=0.98m3/s

Para T =75

=0.99m3/s

Calculo del Intervalo de Confianza :

124.32

Calculo del Caudal de diseo :

Para T = 25

Q d =648.28m3/s

Para T =50

Q d =723.87m3/s

Para T =75

Q d =768.09m3/s

METODO DE LEBEDIEV

AO

198495.53-0.58720.3448-0.2025

1985153.87-0.33510.1123-0.0376

1986216.97-0.06240.0039-0.0002

1987422.750.82680.68370.5653

1988489.851.11681.24731.3929

1989296.490.28120.07910.0222

1990333.000.43900.19270.0846

1991244.780.05780.00330.0002

1992287.100.24070.05790.0139

1993356.600.54100.29270.1583

1994379.540.64010.40980.2623

1995406.250.75550.57080.4313

1996413.300.78600.61780.4856

1997200.91-0.13180.0174-0.0023

1998142.66-0.38350.1471-0.0564

1999204.69-0.11550.0133-0.0015

2000145.76-0.37010.1370-0.0507

2001305.450.32000.10240.0328

2002115.09-0.50270.2527-0.1270

2003164.15-0.29070.0845-0.0246

2004295.630.27750.07700.0214

2005194.67-0.15880.0252-0.0040

2006320.920.38680.14960.0579

2007213.98-0.07530.0057-0.0004

2008101.23-0.56260.3165-0.1780

2009154.75-0.33130.1097-0.0364

201054.80-0.76320.5825-0.4445

201176.60-0.66900.4475-0.2994

201278.45-0.66100.4369-0.2888

201376.48-0.66950.4482-0.3001

SUMA6942.25(m3/s)7.96931.4743

Qm231.41(m3/s)

Calculos:

7.97

1.47

Qm =

231.41

T ( Aos) =25

N = 30T ( Aos) =50

T ( Aos) =75

Coeficiente de Variacin (Cv) =

=0.5154

Determinacin del coeficiente de asimetra (Cs)Opcion 1:

=0.3589

Opcion 2:

Considerando que la avenida es producida por una tormenta, se tiene:

1.5462

De estos dos valores se escoge el mayor, por lo tanto se tiene:Cs = 1.5462

Obtencin del coeficiente K y Erperodo de retorno : P

PCsKCvEr

T = 25 aos:4.0%1.5462.1800.5150.72

T = 50aos:2.0%1.5462.7600.5150.78

T = 75aos:1.3%1.5463.1800.5150.80

Tablas 6.3 para hallar Er Tabla 6.17 para hablar K

Calculo de K para T = 25 aos P= 4% con el Cs = 3.45 y 3.5 (son iguales valores)Csfactor

3.45----------2.18

Ingresar Cs3.464----------x =2.18

a calcular3.5----------2.18

Calculo del Caudal Maximo:

T= 25 aos317.28

T= 50 aos324.44

T= 75 aos326.82

Calculo del intervalo de confianza:Para N =30Se puede tomar A =0.85

T = 25 aosT = 50 aosT = 75 aos

35.4539.2740.58

Calculo del Caudal de Diseo:

Para T= 25 aos :Qd =352.74m3/s

Para T= 50 aos :Qd =363.71m3/s

Para T= 75 aos :Qd =367.40m3/s