analisis de frec. p24-total

de 26

ANALISIS DE LA PRECIPITACION MAXIMA CONSIDERANDO FENOMENOS EL NIÑOANEXO III

PRUEBA DE BONDAD DE AJUSTE

Distribucion Normal

N° P(x) Z F(Z)

1 19.00 0.037 -1.53 0.06 0.03 NC=2 21.90 0.07 -1.18 0.12 0.05 Dx=3 22.10 0.11 -1.15 0.12 0.01 Dx/2=4 22.90 0.15 -1.06 0.15 0.005 23.10 0.19 -1.03 0.15 0.036 23.80 0.22 -0.95 0.17 0.057 24.40 0.26 -0.88 0.19 0.078 26.00 0.30 -0.68 0.25 0.059 27.40 0.33 -0.51 0.30 0.03

10 29.20 0.37 -0.30 0.38 0.0111 29.70 0.41 -0.24 0.41 0.0012 29.90 0.44 -0.21 0.42 0.0313 30.30 0.48 -0.16 0.43 0.0514 30.40 0.52 -0.15 0.44 0.0815 30.80 0.56 -0.10 0.46 0.1016 32.60 0.59 0.11 0.54 0.0517 33.30 0.63 0.20 0.58 0.0518 33.70 0.67 0.25 0.60 0.0719 35.20 0.70 0.43 0.66 0.0420 36.20 0.74 0.55 0.71 0.0321 37.10 0.78 0.66 0.74 0.0322 38.00 0.81 0.76 0.78 0.0423 41.20 0.85 1.15 0.87 0.0224 47.40 0.89 1.90 0.97 0.0825 48.00 0.93 1.97 0.98 0.0526 49.70 0.96 2.17 0.99 0.02

Suma (mm) 823.30 Dmax = 0.097Media (mm) 31.67D.Est. (mm) 8.30

Distribucion Log-Normal

N° P(x) Z F(Z)

1 19.00 2.94 0.04 -1.87 0.03 0.012 21.90 3.09 0.07 -1.32 0.09 0.023 22.10 3.10 0.11 -1.28 0.10 0.014 22.90 3.13 0.15 -1.14 0.13 0.025 23.10 3.14 0.19 -1.11 0.13 0.056 23.80 3.17 0.22 -0.99 0.16 0.067 24.40 3.19 0.26 -0.89 0.19 0.078 26.00 3.26 0.30 -0.65 0.26 0.049 27.40 3.31 0.33 -0.44 0.33 0.00

10 29.20 3.37 0.37 -0.19 0.42 0.0511 29.70 3.39 0.41 -0.13 0.45 0.0412 29.90 3.40 0.44 -0.10 0.46 0.0213 30.30 3.41 0.48 -0.05 0.48 0.0014 30.40 3.41 0.52 -0.04 0.49 0.0315 30.80 3.43 0.56 0.02 0.51 0.0516 32.60 3.48 0.59 0.24 0.59 0.0017 33.30 3.51 0.63 0.32 0.63 0.0018 33.70 3.52 0.67 0.37 0.64 0.0219 35.20 3.56 0.70 0.54 0.70 0.0020 36.20 3.59 0.74 0.65 0.74 0.0021 37.10 3.61 0.78 0.74 0.77 0.0122 38.00 3.64 0.81 0.84 0.80 0.0223 41.20 3.72 0.85 1.15 0.88 0.0224 47.40 3.86 0.89 1.70 0.96 0.0725 48.00 3.87 0.93 1.75 0.96 0.0326 49.70 3.91 0.96 1.89 0.97 0.01

Suma (mm) 823.30 89.01 Dmax = 0.074Media (mm) 31.67 3.42D.Est. (mm) 8.30 0.26

Del libro de Máximo Villón, pag. 131Y=ln(X)

P

(mm)

DxF(Z) - P(x)

P (mm) X

Ln P (Y)

DxF(Z) - P(x)

Z=(Y-Ymedia)/YD.S.

de 26



Distribucion Gumbel Modificado

N° P(X) y G(y)

1 19.00 0.04 -1.38 0.02 0.022 21.90 0.07 -0.93 0.08 0.003 22.10 0.11 -0.90 0.09 0.034 22.90 0.15 -0.78 0.11 0.035 23.10 0.19 -0.75 0.12 0.066 23.80 0.22 -0.64 0.15 0.077 24.40 0.26 -0.55 0.18 0.088 26.00 0.30 -0.30 0.26 0.049 27.40 0.33 -0.08 0.34 0.00

10 29.20 0.37 0.20 0.44 0.0711 29.70 0.41 0.27 0.47 0.0612 29.90 0.44 0.30 0.48 0.0313 30.30 0.48 0.37 0.50 0.0214 30.40 0.52 0.38 0.51 0.0115 30.80 0.56 0.44 0.53 0.0316 32.60 0.59 0.72 0.62 0.0217 33.30 0.63 0.83 0.65 0.0218 33.70 0.67 0.89 0.66 0.0019 35.20 0.70 1.12 0.72 0.0220 36.20 0.74 1.28 0.76 0.0221 37.10 0.78 1.42 0.78 0.0122 38.00 0.81 1.56 0.81 0.0023 41.20 0.85 2.05 0.88 0.0324 47.40 0.89 3.01 0.95 0.0625 48.00 0.93 3.10 0.96 0.0326 49.70 0.96 3.37 0.97 0.00

Suma (mm) 823.30 Dmax = 0.081Media (mm) 31.67D.Est. (S) 8.30 (Para N-1) muestral

6.4727.93

Del libro de Máximo Villón, páginas: 210-216

Distribucion Gumbel

N° P(X) z F(z)

1 19.00 0.04 -1.13 0.05 0.012 21.90 0.07 -0.75 0.12 0.053 22.10 0.11 -0.73 0.13 0.024 22.90 0.15 -0.62 0.16 0.015 23.10 0.19 -0.60 0.16 0.026 23.80 0.22 -0.50 0.19 0.037 24.40 0.26 -0.43 0.22 0.048 26.00 0.30 -0.22 0.29 0.019 27.40 0.33 -0.03 0.36 0.02

10 29.20 0.37 0.20 0.44 0.0711 29.70 0.41 0.27 0.46 0.0612 29.90 0.44 0.29 0.47 0.0313 30.30 0.48 0.35 0.49 0.0114 30.40 0.52 0.36 0.50 0.0215 30.80 0.56 0.41 0.52 0.0416 32.60 0.59 0.65 0.59 0.0017 33.30 0.63 0.74 0.62 0.0118 33.70 0.67 0.79 0.64 0.0319 35.20 0.70 0.99 0.69 0.0220 36.20 0.74 1.12 0.72 0.0221 37.10 0.78 1.23 0.75 0.0322 38.00 0.81 1.35 0.77 0.0423 41.20 0.85 1.77 0.84 0.0124 47.40 0.89 2.58 0.93 0.0425 48.00 0.93 2.66 0.93 0.0126 49.70 0.96 2.88 0.95 0.02

Suma (mm) 823.30 Dmax = 0.071Media (mm) 31.67D.Est. (S) 8.14 (Para N) poblacional

7.65 35.490027.66 183.1897

Del libro de Linsley, Hidrologia para Ingenieros y del boletin Nº 34, Analisis de Frecuencias de fenomenos en Hidrologia de Manuel Paulet(De tabla A-8, Pag. 583 del libro Engineering Hydrology de Victor Ponce, 1989)

P (mm) (X)

DxG(y) - P(x)

P (mm) (X)

DxF(z) - P(x)

n

S

yn=0 .5236

σ n=1.0628

αμ

α=√6πS μ=X−0 .5772156649α y=

X−αμ G( y )=e−e

− y

μ=X− ynα y=X−αμ

α

D149

0.779696801*S

de 26



Distribucion Log-Pearson III

N° P(x)

1 19.00 1.28 -1.87 0.00 0.04 0.042 21.90 1.34 -1.32 0.19 0.07 0.113 22.10 1.34 -1.28 0.23 0.11 0.124 22.90 1.36 -1.14 0.23 0.15 0.085 23.10 1.36 -1.11 0.28 0.19 0.096 23.80 1.38 -0.99 0.29 0.22 0.077 24.40 1.39 -0.89 0.34 0.26 0.088 26.00 1.41 -0.65 0.36 0.30 0.069 27.40 1.44 -0.44 0.38 0.33 0.05

10 29.20 1.47 -0.19 0.48 0.37 0.1111 29.70 1.47 -0.13 0.52 0.41 0.1112 29.90 1.48 -0.10 0.54 0.44 0.0913 30.30 1.48 -0.05 0.56 0.48 0.0714 30.40 1.48 -0.04 0.61 0.52 0.0915 30.80 1.49 0.02 0.64 0.56 0.0916 32.60 1.51 0.24 0.74 0.59 0.1517 33.30 1.52 0.32 0.77 0.63 0.1418 33.70 1.53 0.37 0.83 0.67 0.1619 35.20 1.55 0.54 0.84 0.70 0.1420 36.20 1.56 0.65 0.89 0.74 0.1521 37.10 1.57 0.74 0.92 0.78 0.1422 38.00 1.58 0.84 0.96 0.81 0.1523 41.20 1.61 1.15 0.99 0.85 0.1424 47.40 1.68 1.70 1.05 0.89 0.1625 48.00 1.68 1.75 1.09 0.93 0.1626 49.70 1.70 1.89 1.10 0.96 0.14

Suma (mm) 823.30 38.656 Dmax = 0.164Media (mm) 31.67 1.487D.Est. (mm) 8.30 0.111Coef. Asimetria 0.1814

(*): De Tabla 12.3.1 del Libro de Hidrologia Aplicada de Ven Te Chow, Pag. 404; por interpolacion

P (mm) X

Log P (Log X)

kTF(kT)

(*)

DxF(kT) - P(x)

según el valor de kT

El valor de kT, se obtiene del libro de Hidrologia Aplicada de Ven Te Chow, pag. 400.

LogYTT SkLogYLogY

10 15 20 25 30 35 40 45 50 550.0

0.2

0.4

0.6

0.8

1.0

1.2

AJUSTE DE DISTRIBUCIONES DE PROBABILIDAD A LA PRECIPITACION MAXIMA

Dist. Empírica

Dist. Normal

Dist. Log Normal

Dist. Gumbel Modificado

Dist. Gumbel

Dist. Log Pearson III

PRECIPITACION MAXIMA DE 24 HORAS (mm)

PR

OB

AB

ILID

AD

AC

UM

UL

AD

A

kT=LogY T−LogY

S LogY

de 26

ANEXO III

PRECIPITACIONES MAXIMA DE 24 HORAS

SERIE DE PRECIPITACIONES MAXIMAS DE 24 HORAS

Nº AÑO P mäx (mm) Log P máx Pmáx (A-Z)

1 1987 35.20 1.55 19.00

2 1988 30.80 1.49 21.90

3 1989 21.90 1.34 22.10

4 1990 23.10 1.36 22.90

5 1991 30.40 1.48 23.10

6 1992 22.90 1.36 23.80

7 1993 49.70 1.70 24.40

8 1994 38.00 1.58 26.00

9 1995 37.10 1.57 27.40

10 1996 33.70 1.53 29.20

11 1997 33.30 1.52 29.70

12 1998 36.20 1.56 29.90

13 1999 23.80 1.38 30.30

14 2000 30.30 1.48 30.40

15 2001 29.90 1.48 30.80

16 2002 41.20 1.61 32.60

17 2003 27.40 1.44 33.30

18 2004 26.00 1.41 33.70

19 2005 22.10 1.34 35.20

20 2006 32.60 1.51 36.20

21 2007 29.70 1.47 37.10

22 2008 48.00 1.68 38.00

23 2009 19.00 1.28 41.20

24 2010 24.40 1.39 47.40

25 2011 29.20 1.47 48.00

26 2012 47.40 1.68 49.70

Promedio 31.7 1.487

Desv. Estándar 8.30 0.111

Coef. Asimetria c.a. = 0.70 0.181

c.a./6 k = 0.030

Nº Datos n = 26 26

Distribuciones

Distribución Normal

TP w z

(años) (mm)2 0.500 1.177 0.00 31.67

5 0.200 1.794 0.84 38.65

10 0.100 2.146 1.28 42.30

20 0.050 2.448 1.65 45.31

25 0.040 2.537 1.75 46.19

50 0.020 2.797 2.05 48.71

100 0.010 3.035 2.33 50.97

140 0.007 3.144 2.45 51.99

200 0.005 3.255 2.58 53.04

500 0.002 3.526 2.88 55.55

1000 0.001 3.717 3.09 57.30

Usando la metodologia del libro de Hidrologia Aplicada de Ven Te Chow, pag 401

P T

de 26

Distribución Log Normal

TP w z Log Pm

(años) (mm)2 0.500 1.177 0.000 1.487 30.67

5 0.200 1.794 0.841 1.580 38.04

10 0.100 2.146 1.282 1.629 42.57

20 0.050 2.448 1.645 1.670 46.72

25 0.040 2.537 1.751 1.681 48.00

50 0.020 2.797 2.054 1.715 51.87

100 0.010 3.035 2.327 1.745 55.62

140 0.007 3.144 2.450 1.759 57.40

200 0.005 3.255 2.576 1.773 59.28

500 0.002 3.526 2.879 1.806 64.04

1000 0.001 3.717 3.091 1.830 67.61

Distribución Log Pearson III

TP w z Log Pm

(años) (mm)2 0.500 1.1774 0.000 -0.030 1.48 30.44

5 0.200 1.7941 0.841 0.831 1.58 37.94

10 0.100 2.1460 1.282 1.299 1.63 42.77

20 0.050 2.4477 1.645 1.695 1.68 47.32

25 0.040 2.5373 1.751 1.812 1.69 48.76

50 0.020 2.7971 2.054 2.150 1.73 53.16

100 0.010 3.0349 2.327 2.460 1.76 57.54

140 0.007 3.1438 2.450 2.602 1.78 59.67

200 0.005 3.2552 2.576 2.747 1.79 61.93

500 0.002 3.5255 2.879 3.101 1.83 67.79

1000 0.001 3.7169 3.091 3.352 1.86 72.29

Usando la metodologia del libro de Hidrologia Aplicada de Ven Te Chow, pag 401-403

Distribución Extrema Tipo I- Gumbel

Para N = 20 datos;

T

(años) (mm)2 -0.1478 30.44

5 0.9186 39.29

10 1.6247 45.14

20 2.3020 50.76

25 2.5169 52.55 (De tabla A-8, Pag. 583 del libro Engineering Hydrology

50 3.1787 58.04 de Victor Ponce, 1989)

100 3.8357 63.49

140 4.1536 66.12

200 4.4902 68.92

500 5.3538 76.08

1000 6.0065 81.50

P T

Usando la metodologia del libro de Hidrologia Aplicada de Ven Te Chow, pag 401 Se debe tener en cuenta el ultimo parrafo de esta pagina; es decir que el procedimiento es el mismo excepto que este se aplica a los logaritmos de las variables y su media y desviacion estándar son usadas para la generacion de caudales.

KTP T

KTP T

de 26

Distribución Extrema Tipo I- Gumbel Modificado

T

(años) (mm)5 0.7195 37.63

10 1.3046 42.49

20 1.8659 47.14

25 2.0439 48.62 (Pag. 225 del libro Engineering Hydrology

50 2.5924 53.17 de Victor Ponce, 1989)

100 3.1368 57.69

140 3.4003 59.87

200 3.6792 62.19

500 4.3949 68.13

1000 4.9357 72.61

PRECIPITACIONES MAXIMA DE 24 HR PARA DIFERENTES PERIODOS DE RETORNO

PGumbel

T2 0.500 31.67 30.67 30.44 30.44

5 0.200 38.65 38.04 37.94 39.29 37.63

10 0.100 42.30 42.57 42.77 45.14 42.49

20 0.050 45.31 46.72 47.32 50.76 47.14

25 0.040 46.19 48.00 48.76 52.55 48.62

50 0.020 48.71 51.87 53.16 58.04 53.17

100 0.010 50.97 55.62 57.54 63.49 57.69

140 0.007 51.99 57.40 59.67 66.12 59.87

200 0.005 53.04 59.28 61.93 68.92 62.19

500 0.002 55.55 64.04 67.79 76.08 68.13

1000 0.001 57.30 67.61 72.29 81.50 72.61

0.267 0.097 0.074 0.164 0.071 0.081

KTP T

Período de Retorno

Distribución Normal

Distribución Log Normal

Log Pearson III

Gumbel Modificado

XT XT XT XT XT

Delta c (Dc) =

1 10 100 1000 10000

0

10

20

30

40

50

60

70

80

90

PRECIPITACIONES MAXIMA DE 24 HR. vs PERIODOS DE RETORNO

Dist. Log Pearson IIIl

Dist. Gumbel Modificado

Dist. Normal

Dist. Log Normal

Dist. Gumbel

PERIODO DE RETORNO (Años)

PR

EC

IPIT

AC

ION

MA

XIM

A (

mm

)

I137

Según Aparicio (Hidrologia de Superficie)

J137

Según Chow (Hidrologia Aplicada)

de 26

pt pacum

31.67 0.500

38.65 0.700

42.30 0.800

45.31 0.850

46.19 0.890

48.71 0.910

50.97 0.920

51.99 0.927

53.04 0.932

55.55 0.934

57.30 0.935

30 35 40 45 50 55 600.500.550.600.650.700.750.800.850.900.95

FUNCION ACUMULADA

PRECIPITACION (mm)

PRO

BABI

LIDAD

de 26

pt pacum

30.675 0.500

38.040 0.700

42.573 0.800

46.721 0.850

48.003 0.890

51.872 0.910

55.617 0.920

57.404 0.927

59.281 0.932

64.045 0.934

67.613 0.935

pt pacum

30.439 0.500

37.941 0.700

42.767 0.800

47.321 0.850

48.756 0.890

53.163 0.910

57.540 0.920

59.666 0.927

61.927 0.932

67.788 0.934

72.292 0.935

pt pacum

30.44 0.500

39.29 0.700

45.14 0.800

50.76 0.850

52.55 0.890

58.04 0.910

63.49 0.920

66.12 0.927

68.92 0.932

76.08 0.934

81.50 0.935

25 30 35 40 45 50 55 60 65 700.500.550.600.650.700.750.800.850.900.95

FUNCION ACUMULADA

PRECIPITACION (mm)PR

OBA

BILID

AD

25 35 45 55 65 750.500.550.600.650.700.750.800.850.900.95

FUNCION ACUMULADA

PRECIPITACION (mm)

PRO

BABI

LIDAD

25 35 45 55 65 75 850.500.550.600.650.700.750.800.850.900.95

FUNCION ACUMULADA

PRECIPITACION (mm)

PRO

BABI

LIDAD

de 26

pt pacum

37.634 0.700

42.489 0.800

47.145 0.850

48.622 0.890

53.172 0.910

57.689 0.920

59.875 0.927

62.189 0.932

68.126 0.934

72.613 0.935

PAC

31.7 30.7 30.4 30.4 0.500

38.6 38.0 37.9 39.3 37.6 0.700

42.3 42.6 42.8 45.1 42.5 0.800

45.3 46.7 47.3 50.8 47.1 0.850

46.2 48.0 48.8 52.5 48.6 0.890

48.7 51.9 53.2 58.0 53.2 0.910

51.0 55.6 57.5 63.5 57.7 0.920

52.0 57.4 59.7 66.1 59.9 0.927

53.0 59.3 61.9 68.9 62.2 0.932

55.5 64.0 67.8 76.1 68.1 0.934

57.3 67.6 72.3 81.5 72.6 0.935

25 35 45 55 65 75 850.500.550.600.650.700.750.800.850.900.95

FUNCION ACUMULADA

PRECIPITACION (mm)

PRO

BABI

LIDAD

25 35 45 55 65 750.70

0.75

0.80

0.85

0.90

0.95

FUNCION ACUMULADA

PRECIPITACION (mm)PR

OBA

BILID

AD

25.0 33.0 41.0 49.0 57.0 65.0 73.0 81.00.50

0.59

0.68

0.77

0.86

0.95

FUNCION ACUMULADA

DITRIBUCION NORMAL

DISTRIBUCION LOG NORMAL

LOG PEARSON TIPO III

GUMBEL

GUMBEL MODIFICADO

PRECIPITACION (mm)

PRO

BABI

LIDAD

1000

DURACION INTENSIDAD PROFUNDIDAD PROFUNDIDAD TIEMPO

ACUMULADA INCREMENTAL

(hr) (mm/hr) (mm) (mm) (min)

1 36.82 36.82 36.82 0-1

2 21.89 43.79 6.97 1-2

3 16.15 48.46 4.67 2-3

4 13.02 52.07 3.61 3-4

5 11.01 55.06 2.99 4-5

6 9.60 57.63 2.57 5-6

7 8.56 59.89 2.26 6-7

8 7.74 61.93 2.03 7-8

9 7.09 63.78 1.85 8-9

10 6.55 65.48 1.70 9-10

11 6.10 67.06 1.58 10-11

12 5.71 68.53 1.47 11-12

13 5.38 69.92 1.39 12-13

14 5.09 71.23 1.31 13-14

15 4.83 72.46 1.24 14-15

16 4.60 73.64 1.18 15-16

17 4.40 74.77 1.12 16-17

18 4.21 75.84 1.08 17-18

19 4.05 76.88 1.03 18-19

20 3.89 77.87 0.99 19-20

21 3.75 78.82 0.96 20-21

22 3.62 79.75 0.92 21-22

23 3.51 80.64 0.89 22-23

24 3.40 81.50 0.86 23-24

500




1 34.37 34.37 34.37 0-1

2 20.44 40.88 6.50 1-2

3 15.08 45.24 4.36 2-3

4 12.15 48.61 3.37 3-4

5 10.28 51.40 2.79 4-5

6 8.97 53.80 2.40 5-6

7 7.99 55.91 2.11 6-7

8 7.23 57.81 1.90 7-8

9 6.62 59.54 1.73 8-9

10 6.11 61.12 1.59 9-10

11 5.69 62.60 1.47 10-11

12 5.33 63.98 1.38 11-12

13 5.02 65.27 1.29 12-13

14 4.75 66.49 1.22 13-14

15 4.51 67.65 1.16 14-15

16 4.30 68.75 1.10 15-16

17 4.11 69.80 1.05 16-17

18 3.93 70.80 1.00 17-18

19 3.78 71.76 0.96 18-19

20 3.63 72.69 0.93 19-20

21 3.50 73.58 0.89 20-21

22 3.38 74.44 0.86 21-22

23 3.27 75.27 0.83 22-23

24 3.17 76.08 0.81 23-24

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00HIETOGRAMA DE DISEÑO TR = 1000 AÑOS

Duracion (Hr)

Prec

ipit

acio

n (m

m)

140




1 29.87 29.87 29.87 0-1

2 17.76 35.53 5.65 1-2

3 13.11 39.32 3.79 2-3

4 10.56 42.25 2.93 3-4

5 8.93 44.67 2.42 4-5

6 7.79 46.75 2.08 5-6

7 6.94 48.59 1.84 6-7

8 6.28 50.24 1.65 7-8

9 5.75 51.74 1.50 8-9

10 5.31 53.12 1.38 9-10

11 4.95 54.40 1.28 10-11

12 4.63 55.60 1.20 11-12

13 4.36 56.72 1.12 12-13

14 4.13 57.78 1.06 13-14

15 3.92 58.79 1.01 14-15

16 3.73 59.75 0.96 15-16

17 3.57 60.66 0.91 16-17

18 3.42 61.53 0.87 17-18

19 3.28 62.37 0.84 18-19

20 3.16 63.17 0.80 19-20

21 3.05 63.95 0.78 20-21

22 2.94 64.70 0.75 21-22

23 2.84 65.42 0.72 22-23

24 2.76 66.12 0.70 23-24

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00HIETOGRAMA DE DISEÑO T = 500 AÑOS

Duracion (Hr)

Prec

ipit

acio

n (m

m)

100




1 28.68 28.68 28.68 0-1

2 17.06 34.11 5.43 1-2

3 12.58 37.75 3.64 2-3

4 10.14 40.57 2.82 3-4

5 8.58 42.89 2.33 4-5

6 7.48 44.89 2.00 5-6

7 6.67 46.66 1.76 6-7

8 6.03 48.24 1.58 7-8

9 5.52 49.68 1.44 8-9

10 5.10 51.01 1.33 9-10

11 4.75 52.24 1.23 10-11

12 4.45 53.39 1.15 11-12

13 4.19 54.47 1.08 12-13

14 3.96 55.49 1.02 13-14

15 3.76 56.45 0.97 14-15

16 3.59 57.37 0.92 15-16

17 3.43 58.25 0.88 16-17

18 3.28 59.08 0.84 17-18

19 3.15 59.89 0.80 18-19

20 3.03 60.66 0.77 19-20

21 2.92 61.41 0.74 20-21

22 2.82 62.12 0.72 21-22

23 2.73 62.82 0.69 22-23

24 2.65 63.49 0.67 23-24

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00

5.00

10.00

15.00

20.00

25.00

30.00


Duracion (Hr)

Prec

ipit

acio

n (m

m)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00

5.00

10.00

15.00

20.00

25.00

30.00


Duracion (Hr)

Prec

ipit

acio

n (m

m)

T (Años) 1000 500 200

81.5 76.08 68.92

PR

EC

IPIT

AC

ION

(m

m)

36.82 34.37 31.1443.79 40.88 37.0348.46 45.24 40.9852.07 48.61 44.0455.06 51.40 46.5657.63 53.80 48.7359.89 55.91 50.6561.93 57.81 52.3763.78 59.54 53.9365.48 61.12 55.3767.06 62.60 56.7168.53 63.98 57.9569.92 65.27 59.1371.23 66.49 60.2372.46 67.65 61.2873.64 68.75 62.2874.77 69.80 63.2375.84 70.80 64.1476.88 71.76 65.0177.87 72.69 65.8578.82 73.58 66.6679.75 74.44 67.4480.64 75.27 68.1981.50 76.08 68.92

PRECIPITACION T (Años) 1000 500 200

81.5 76.08 68.92(mm)

PR

EC

IPIT

AC

ION

(m

m/H

r)

36.82 34.37 31.140.89 21.89 20.44 18.510.96 16.15 15.08 13.661.03 13.02 12.15 11.011.12 11.01 10.28 9.311.24 9.60 8.97 8.121.39 47.6 8.56 7.99 7.241.58 7.74 7.23 6.551.85 7.09 6.62 5.992.26 28.56 6.55 6.11 5.542.99 6.10 5.69 5.164.67 5.71 5.33 4.8336.82 5.38 5.02 4.556.97 5.09 4.75 4.303.61 4.83 4.51 4.092.57 4.60 4.30 3.892.03 4.40 4.11 3.721.70 4.21 3.93 3.561.47 4.05 3.78 3.421.31 3.89 3.63 3.291.18 3.75 3.50 3.171.08 3.62 3.38 3.070.99 3.51 3.27 2.96

Pmax 24 horas

Pmax 24 horas

0.92

PR

EC

IPIT

AC

ION

(m

m/H

r)

3.40 3.17 2.870.89

PRECIPITACION

(mm)

0.83

0.89

0.96

1.05

1.16

1.29

1.47

1.73

2.11

2.79

4.36

34.37

6.50

3.37

2.40

1.90

1.59

1.38

1.22

1.10

1.00

0.93

0.86

0.83

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00


Duracion (Hr)

Prec

ipit

acio

n (m

m)

PRECIPITACION

(mm)

0.72

0.78

0.84

0.91

1.01

1.12

1.28

1.50

1.84

2.42

3.79

29.87

5.65

2.93

2.08

1.65

1.38

1.20

1.06

0.96

0.87

0.80

0.75

0.72

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00HIETOGRAMA DE DISEÑO T = 500 AÑOS

Duracion (Hr)

Prec

ipit

acio

n (m

m)

PRECIPITACION

(mm)

0.69

0.74

0.80

0.88

0.97

1.08

1.23

1.44

1.76

2.33

3.64

28.68

5.43

2.82

2.00

1.58

1.33

1.15

1.02

0.92

0.84

0.77

0.72

0.69

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00

5.00

10.00

15.00

20.00

25.00

30.00


Duracion (Hr)

Prec

ipit

acio

n (m

m)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 240.00

5.00

10.00

15.00

20.00

25.00

30.00


Duracion (Hr)

Prec

ipit

acio

n (m

m)

140 100 50 25 20 10 5 2

66.12 63.49 58.04 52.55 50.76 45.14 39.29 30.44

29.87 28.68 26.22 23.74 22.93 20.39 17.75 13.75 135.53 34.11 31.18 28.23 27.27 24.25 21.11 16.35 239.32 37.75 34.51 31.25 30.18 26.84 23.36 18.10 342.25 40.57 37.08 33.58 32.43 28.84 25.10 19.45 444.67 42.89 39.21 35.50 34.29 30.50 26.54 20.57 546.75 44.89 41.04 37.16 35.89 31.92 27.78 21.52 648.59 46.66 42.65 38.62 37.30 33.17 28.87 22.37 750.24 48.24 44.10 39.93 38.57 34.30 29.85 23.13 851.74 49.68 45.42 41.12 39.72 35.32 30.75 23.82 953.12 51.01 46.63 42.22 40.78 36.27 31.57 24.46 1054.40 52.24 47.76 43.24 41.77 37.14 32.33 25.05 1155.60 53.39 48.81 44.19 42.68 37.96 33.04 25.60 1256.72 54.47 49.79 45.08 43.55 38.73 33.71 26.11 1357.78 55.49 50.72 45.93 44.36 39.45 34.34 26.60 1458.79 56.45 51.61 46.72 45.13 40.14 34.93 27.07 1559.75 57.37 52.45 47.48 45.87 40.79 35.50 27.51 1660.66 58.25 53.25 48.21 46.57 41.41 36.04 27.93 1761.53 59.08 54.01 48.90 47.24 42.01 36.56 28.33 1862.37 59.89 54.75 49.57 47.88 42.58 37.06 28.71 1963.17 60.66 55.45 50.21 48.50 43.13 37.54 29.08 2063.95 61.41 56.13 50.82 49.09 43.66 38.00 29.44 2164.70 62.12 56.79 51.42 49.67 44.17 38.44 29.78 2265.42 62.82 57.43 51.99 50.22 44.66 38.87 30.12 2366.12 63.49 58.04 52.55 50.76 45.14 39.29 30.44 24

140 100 50 25 20 10 5 2

66.12 63.49 58.04 52.55 50.76 45.14 39.29 30.44

29.87 28.68 26.22 23.74 22.93 20.39 17.75 13.75 117.76 17.06 15.59 14.12 13.64 12.13 10.55 8.18 213.11 12.58 11.50 10.42 10.06 8.95 7.79 6.03 310.56 10.14 9.27 8.39 8.11 7.21 6.28 4.86 48.93 8.58 7.84 7.10 6.86 6.10 5.31 4.11 57.79 7.48 6.84 6.19 5.98 5.32 4.63 3.59 66.94 6.67 6.09 5.52 5.33 4.74 4.12 3.20 76.28 6.03 5.51 4.99 4.82 4.29 3.73 2.89 85.75 5.52 5.05 4.57 4.41 3.92 3.42 2.65 95.31 5.10 4.66 4.22 4.08 3.63 3.16 2.45 104.95 4.75 4.34 3.93 3.80 3.38 2.94 2.28 114.63 4.45 4.07 3.68 3.56 3.16 2.75 2.13 124.36 4.19 3.83 3.47 3.35 2.98 2.59 2.01 134.13 3.96 3.62 3.28 3.17 2.82 2.45 1.90 143.92 3.76 3.44 3.11 3.01 2.68 2.33 1.80 153.73 3.59 3.28 2.97 2.87 2.55 2.22 1.72 163.57 3.43 3.13 2.84 2.74 2.44 2.12 1.64 173.42 3.28 3.00 2.72 2.62 2.33 2.03 1.57 183.28 3.15 2.88 2.61 2.52 2.24 1.95 1.51 193.16 3.03 2.77 2.51 2.42 2.16 1.88 1.45 203.05 2.92 2.67 2.42 2.34 2.08 1.81 1.40 212.94 2.82 2.58 2.34 2.26 2.01 1.75 1.35 222.84 2.73 2.50 2.26 2.18 1.94 1.69 1.31 23

Duracion (hr)

Duracion (hr)

2.76 2.65 2.42 2.19 2.11 1.88 1.64 1.27 24

0 150 300 450 600 750 900 105025.00

35.00

45.00

55.00

65.00

75.00

85.00PRECIPITACIONES DE DISEÑO

Periodo de retorno T (Años)

Pre

cip

ita

cio

n M

ax

ima

de

Dis

eñ

o (

mm

)

T (AÑOS) P24 max (mm)2 30.445 39.29

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00CURVAS IDF

Tr=500

Tr= 200

Tr= 140

Tr=100

Tr=50

Tr= 25

Tr=20

Tr=10

Tr= 5

Tr= 2

Tr= 1000Duracion (Hr)

Inte

nsid

ad (m

m/h

r)

10 45.1420 50.7625 52.5550 58.04100 63.49140 66.12200 68.92500 76.081000 81.50

0 150 300 450 600 750 900 105025.00

35.00

45.00

55.00

65.00

75.00

85.00PRECIPITACIONES DE DISEÑO

Periodo de retorno T (Años)

Pre

cip

ita

cio

n M

ax

ima

de

Dis

eñ

o (

mm

)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00CURVAS IDF

Tr=500

Tr= 200

Tr= 140

Tr=100

Tr=50

Tr= 25

Tr=20

Tr=10

Tr= 5

Tr= 2

Tr= 1000Duracion (Hr)

Inte

nsid

ad (m

m/h

r)

DURACION INTENSIDAD PROFUNDIDAD PROFUNDIDAD TIEMPOACUMULADAINCREMENTAL


1 29.8730822 29.8730822 29.8730822 0-12 17.762641 35.5252819 5.65219971 1-23 13.1050624 39.3151872 3.78990528 2-34 10.5617295 42.2469181 2.93173083 3-45 8.93413542 44.6706771 2.42375907 4-56 7.79231673 46.7539004 2.08322325 5-67 6.94155077 48.5908554 1.83695502 6-78 6.28004194 50.2403355 1.64948014 7-89 5.74907736 51.7416962 1.50136068 8-9

10 5.31226871 53.1226871 1.38099084 9-1011 4.94578827 54.403671 1.28098396 10-1112 4.63333925 55.600071 1.19639996 11-1213 4.36337481 56.7238725 1.12380157 12-1314 4.12747078 57.784591 1.06071841 13-1415 3.91932782 58.7899173 1.00532633 14-1516 3.73413528 59.7461645 0.95624718 15-1617 3.56815197 60.6585836 0.91241907 16-1718 3.41842185 61.5315933 0.87300973 17-1819 3.28257633 62.3689503 0.83735701 18-1920 3.15869387 63.1738774 0.80492712 19-2021 3.04519819 63.9491621 0.77528463 20-2122 2.9407833 64.6972327 0.7480706 21-2223 2.84435735 65.420219 0.72298632 22-2324 2.755 66.12 0.69978102 23-24

PRECIPITACION

(mm)

0.720.780.840.911.011.121.281.501.842.423.79

29.875.652.932.081.651.381.201.060.960.870.800.750.72

analisis de frec. p24-total

Documents