Universidad Nacional Federico Villarreal

CURSO : HIDROLOGIA I

DOCENTE : ING. WALTER GOMEZ LORA

PROFESOR DE PRACTICA: ING. FRANK LOROÑA

GRUPO Nº : 3

INTEGRANTES:

CISNEROS VILLACORTA LUIS DANIEL GUZMAN MORAN MILAGRITOS M. GUZMAN MORAN ROCIO C.

Estación : Santa Ana Altura mira : 1.60Rio : Cañete Fecha :

02/05/2010Cuenca : Cañete Correntómetr

o: Vp=0.4+0.5

PRACTICA DE CURVA ALTURA-GASTO, AFORO Y CURVA DE DISPONIBILIDAD

Docente: Dr. Walter Gómez Lora

Práctica: Ing. Frank Loroña Calderón

GRUPO A - AFORO

1. Se realizo un Aforo el día 02/05/2010 obteniéndose los resultados que se muestran en el cuadro 1 .Determinar el Caudal por el método Aritmético, Gráfico,0,2-0,8 y por el método 0,6, también calcule el Kv en el punto C, D y E.

CUADRO 1.

N

TRABAJO DE CAMPOSONDEOS CORRENTOMETROS

1 2 3 4 5 6 7

PuntosDistancia delPunto Inicial

ProfundidadProfundidad de la

observaciónRevoluciones Tiempo

m m Método Metros Seg.

A 0 0 0 0 0 0

B 3 0,6 0,6 0,36 50 50

C 6 1,2 SUP 0 150 50

0,2 0,24 120 50

0,6 0,72 100 50

0,8 0,96 80 50

D 9 1,6 SUP 0 200 50

0,2 0,32 150 50

0,6 0,96 100 50

0,8 1,28 80 50

E 12 1,8 SUP 0 250 50

0,2 0,36 180 50

0,6 1,08 120 50

0,8 1,44 80 50

F 15 1,4 0,2 0,28 150 50

0,8 1,12 100 50

2

G 18 0,8 0,6 0,48 120 50

H 21 0 0 0 0 0

3

CURVA ALTURA GASTO2. Con los resultados del Cuadro 2, obtenga la curva altura –

caudal, altura – Velocidad y Altura Área. Con estas correlaciones determinará el Caudal (obtenga el error entre el caudal generado por formula y el obtenido por el método directo), Velocidad y Área de la sección de las lecturas del 02/02/2011 ( Ver Cuadro 3)

Cuadro 2.Registro de Aforos.

Nº Fecha Hm Q VmÁrea

nueva

1 10/11/2009 0,55 12 12 30/12/2009 1 15,5 13 08/01/2010 1,2 24,2 1,34 20/01/2010 1,5 31 1,45 01/02/2010 1,2 20 1,16 07/02/2010 1,6 28 1,257 22/02/2010 0,9 17 1,158 28/02/2010 1,5 26 1,259 10/03/2010 1,92 44,5 1,44

10 15/03/2010 2,4 49,2 1,711 27/03/2010 1,8 42 1,612 31/03/2010 1,65 34,5 1,513 10/04/2010 1,85 38,2 1,5514 21/04/2010 1,45 28 1,3515 02/05/2010 Haforo QAforo Vaforo

Cuadro 3.Lecturas del 02 de Febrero del 2011 - Estación hidrométrica Santa Ana.

Hora(

Mira(m)

1 0,552 0,83 0,24 0,95 0,86 17 1,48 1,59 1,810 0,811 0,912 0,713 0,814 0,915 1,216 117 0,918 0,819 1,120 1,321 122 0,923 0,824 0,8

Valor med inst

4

Valor máx. instValor min inst

Media

5

CURVA DE DISPONIBILIDAD

3. A partir de las lecturas de la estación Santa Ana (Cuadro 4) obtenga los caudales medios diarios, media mensual , máximo y mínima mensual, Luego realizar la curva de disponibilidad de Enero , Febreo y Marzo y la Anual y determine los caudales reales y generados en los siguientes niveles de persistencia:

Frecuencia 10 15 20 25 30 40 50 60 70 75 80 85 90 95

Q real

Q gen

Cuadro 4.Lectura de Mira Estación Santa Ana

2010-2011

Fecha Setiembre Octubre Noviembre Diciembre Enero Febrero Marzo Abril Mayo Junio Julio Agosto1 0,38 0,6 0,71 0,89 1,58 0,96 1,65 1,38 1,2 0,72 0,48 0,362 0,38 0,61 0,73 0,9 1,56 Lmedia 1,64 1,39 1,22 0,74 0,41 0,413 0,38 0,58 0,8 0,92 1,5 0,97 1,6 1,41 1,25 0,76 0,4 0,394 0,41 0,56 0,6 0,94 1,5 0,98 1,61 1,56 1,26 0,78 0,4 0,375 0,4 0,63 0,53 0,96 1,51 0,99 1,61 1,65 1,2 0,78 0,39 0,376 0,42 0,65 0,51 0,99 1,51 1 1,61 1,7 1,1 0,7 0,38 0,387 0,43 0,66 0,51 1,15 1,54 1,01 1,6 1,72 1,2 0,7 0,37 0,398 0,43 0,68 0,51 1,22 1,56 1,01 1,59 1,8 1,11 0,65 0,39 0,419 0,51 0,67 0,51 1,55 1,58 1,01 1,5 1,75 1,11 0,65 0,41 0,42

10 0,5 0,62 0,52 1,58 1,59 1,02 1,5 1,6 1,1 0,6 0,45 0,4311 0,48 0,63 0,6 1,58 1,7 1,03 1,51 1,5 1,1 0,61 0,44 0,4312 0,5 0,7 0,63 1,58 1,71 1,04 1,56 1,44 0,95 0,59 0,44 0,4513 0,51 0,75 0,62 1,58 1,5 1,06 1,65 1,4 0,95 0,57 0,44 0,4714 0,53 0,74 0,59 1,62 1,3 1,1 1,72 1,42 0,96 0,55 0,44 0,515 0,54 0,73 0,6 1,62 1,2 1,15 1,78 1,38 0,98 0,6 0,39 0,5216 0,55 0,72 0,63 1,63 1 1,18 1,86 1,36 0,92 0,62 0,38 0,5317 0,56 0,71 0,64 1,66 1 1,22 1,94 1,3 0,91 0,55 0,37 0,5418 0,52 0,7 0,66 1,72 0,62 1,23 1,96 1,25 0,9 0,54 0,36 0,5519 0,51 0,72 0,68 1,73 0,63 1,24 1,8 1,15 0,88 0,52 0,35 0,5220 0,48 0,71 0,69 1,74 0,64 1,26 1,81 1,12 0,78 0,52 0,34 0,521 0,43 0,69 0,7 1,76 0,65 1,3 1,88 1,12 0,75 0,5 0,32 0,4922 0,5 0,65 0,72 1,78 0,66 1,7 1,96 1,12 0,75 0,48 0,3 0,4123 0,51 0,63 0,73 1,8 0,71 1,72 1,72 1,13 0,75 0,48 0,3 0,3924 0,56 0,62 0,74 1,66 0,72 1,76 1,7 1,14 0,76 0,4 0,31 0,3625 0,6 0,62 0,76 1,69 0,74 1,8 1,6 1,15 0,74 0,4 0,29 0,3326 0,62 0,62 0,8 1,72 0,76 1,9 1,65 1,16 0,73 0,38 0,29 0,2927 0,62 0,62 0,81 1,68 0,78 1,81 1,5 1,2 0,74 0,37 0,28 0,2128 0,6 0,63 0,82 1,65 0,8 1,78 1,42 1,19 0,75 0,36 0,27 0,2129 0,61 0,65 0,85 1,65 0,82 1,3 1,18 0,72 0,35 0,26 0,230 0,63 0,69 0,88 1,64 0,88 1,31 1,17 0,73 0,35 0,26 0,1931 0,7 1,63 0,89 1,36 0,72 0,25 0,19

6

CURVA DE DISPONIBILIDAD RESOLUCIÓN:

Se generaron los Caudales Diarios apartir de la Ecuación de Curva Altura-Gasto

REGISTROS DE CAUDALES PROMEDIOS DIARIOS - m3/seg.ESTACION "Santa Ana" AÑO: 210-2011

FechaSetiemb

reOctubre

Noviembre

Diciembre

Enero Febrero Marzo Abril Mayo Junio Julio Agosto

1 10.71 12.94 14.22 16.59 30.01 17.62 31.86 25.27 21.65 14.34 11.67 10.53

2 10.71 13.05 14.46 16.74 29.49 16.74 31.59 25.49 22.03 14.59 10.99 10.99

3 10.71 12.72 15.36 17.03 28.01 17.77 30.52 25.93 22.60 14.84 10.90 10.80

4 10.99 12.50 12.94 17.32 28.01 17.93 30.79 29.49 22.80 15.10 10.90 10.62

5 10.90 13.27 12.18 17.62 28.26 18.08 30.79 31.86 21.65 15.10 10.80 10.62

6 11.09 13.50 11.98 18.08 28.26 18.24 30.79 33.26 19.87 14.10 10.71 10.71

7 11.18 13.62 11.98 20.74 28.99 18.39 30.52 33.84 21.65 14.10 10.62 10.80

8 11.18 13.86 11.98 22.03 29.49 18.39 30.26 36.24 20.04 13.50 10.80 10.99

9 11.98 13.74 11.98 29.24 30.01 18.39 28.01 34.72 20.04 13.50 10.99 11.09

10 11.87 13.16 12.08 30.01 30.26 18.55 28.01 30.52 19.87 12.94 11.37 11.18

11 11.67 13.27 12.94 30.01 33.26 18.71 28.26 28.01 19.87 13.05 11.28 11.18

12 11.87 14.10 13.27 30.01 33.55 18.87 29.49 26.61 17.47 12.83 11.28 11.37

13 11.98 14.72 13.16 30.01 28.01 19.20 31.86 25.71 17.47 12.61 11.28 11.57

14 12.18 14.59 12.83 31.05 23.59 19.87 33.84 26.15 17.62 12.39 11.28 11.87

15 12.29 14.46 12.94 31.05 21.65 20.74 35.63 25.27 17.93 12.94 10.80 12.08

16 12.39 14.34 13.27 31.32 18.24 21.29 38.16 24.84 17.03 13.16 10.71 12.18

17 12.50 14.22 13.39 32.14 18.24 22.03 40.87 23.59 16.88 12.39 10.62 12.29

18 12.08 14.10 13.62 33.84 13.16 22.22 41.58 22.60 16.74 12.29 10.53 12.39

19 11.98 14.34 13.86 34.13 13.27 22.41 36.24 20.74 16.45 12.08 10.44 12.08

20 11.67 14.22 13.98 34.42 13.39 22.80 36.55 20.22 15.10 12.08 10.35 11.87

21 11.18 13.98 14.10 35.02 13.50 23.59 38.82 20.22 14.72 11.87 10.17 11.77

22 11.87 13.50 14.34 35.63 13.62 33.26 41.58 20.22 14.72 11.67 10.00 10.99

23 11.98 13.27 14.46 36.24 14.22 33.84 33.84 20.39 14.72 11.67 10.00 10.80

24 12.50 13.16 14.59 32.14 14.34 35.02 33.26 20.57 14.84 10.90 10.09 10.53

25 12.94 13.16 14.84 32.98 14.59 36.24 30.52 20.74 14.59 10.90 9.91 10.26

26 13.16 13.16 15.36 33.84 14.84 39.49 31.86 20.92 14.46 10.71 9.91 9.91

27 13.16 13.16 15.49 32.69 15.10 36.55 28.01 21.65 14.59 10.62 9.83 9.26

28 12.94 13.27 15.63 31.86 15.36 35.63 26.15 21.47 14.72 10.53 9.75 9.26

29 13.05 13.50 16.03 31.86 15.63 23.59 21.29 14.34 10.44 9.66 9.18

30 13.27 13.98 16.45 31.59 16.45 23.80 21.10 14.46 10.44 9.66 9.10

31 14.10 31.32 16.59 24.84 14.34 9.58 9.10

Q m 11.93 13.64 13.79 28.66 21.65 23.63 31.99 25.29 17.59 12.58 10.54 10.88Qmáx 13.27 14.72 16.45 36.24 33.55 39.49 41.58 36.24 22.8 15.1 11.67 12.39

Qmín 10.71 12.5 11.98 16.59 13.16 16.74 23.59 20.22 14.34 10.44 9.58 9.1

7

Fórmula para Interpolar: A X M N B Y

ENERO

Nº Dato QEnero Qenero (descendente) Frecuencia %

1.00 30.01 33.55 0.03 3.132.00 29.49 33.26 0.06 6.253.00 28.01 30.26 0.09 9.384.00 28.01 30.01 0.13 12.505.00 28.26 30.01 0.16 15.636.00 28.26 29.49 0.19 18.757.00 28.99 29.49 0.22 21.888.00 29.49 28.99 0.25 25.009.00 30.01 28.26 0.28 28.13

10.00 30.26 28.26 0.31 31.2511.00 33.26 28.01 0.34 34.3812.00 33.55 28.01 0.38 37.5013.00 28.01 28.01 0.41 40.6314.00 23.59 23.59 0.44 43.7515.00 21.65 21.65 0.47 46.8816.00 18.24 18.24 0.50 50.0017.00 18.24 18.24 0.53 53.13

8

BA YX

AM XN

YXXNBA

AM

)(*)(

AYX

XNBAM

)(*)(

18.00 13.16 16.59 0.56 56.2519.00 13.27 16.45 0.59 59.3820.00 13.39 15.63 0.63 62.5021.00 13.50 15.36 0.66 65.6322.00 13.62 15.10 0.69 68.7523.00 14.22 14.84 0.72 71.8824.00 14.34 14.59 0.75 75.0025.00 14.59 14.34 0.78 78.1326.00 14.84 14.22 0.81 81.2527.00 15.10 13.62 0.84 84.3828.00 15.36 13.50 0.88 87.5029.00 15.63 13.39 0.91 90.6330.00 16.45 13.27 0.94 93.7531.00 16.59 13.16 0.97 96.88

0.00 20.00 40.00 60.00 80.00 100.00 120.000.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00

f(x) = 36.8186482336577 exp( − 0.0117574517959887 x )R² = 0.93388990501159

Curva de Disponibilidad (Enero)

Series2Exponential (Series2)

Frecuencia %

Qm

3/s

Frecuencia 10 15 20 25 30 40 50 60 70 75 80 85 90 95

Q real 30.21 30.01 29.49 28.99 28.26 28.01 18.24 16.29 15.00 14.59 14.27 13.6013.4

113.23

Q gen 32.73 30.87 29.10 27.44 25.88 23.00 20.45 18.18 16.17 15.24 14.37 13.5512.7

812.05

9

FEBRERO

Nº Dato QFebrero QFebrero (descendente) Frecuencia %1 17.62 39.49 0.03 3.452 16.74 36.55 0.07 6.903 17.77 36.24 0.10 10.344 17.93 35.63 0.14 13.795 18.08 35.02 0.17 17.246 18.24 33.84 0.21 20.697 18.39 33.26 0.24 24.148 18.39 23.59 0.28 27.599 18.39 22.80 0.31 31.03

10 18.55 22.41 0.34 34.4811 18.71 22.22 0.38 37.9312 18.87 22.03 0.41 41.3813 19.20 21.29 0.45 44.8314 19.87 20.74 0.48 48.2815 20.74 19.87 0.52 51.7216 21.29 19.20 0.55 55.1717 22.03 18.87 0.59 58.6218 22.22 18.71 0.62 62.0719 22.41 18.55 0.66 65.5220 22.80 18.39 0.69 68.9721 23.59 18.39 0.72 72.4122 33.26 18.39 0.76 75.8623 33.84 18.24 0.79 79.3124 35.02 18.08 0.83 82.7625 36.24 17.93 0.86 86.2126 39.49 17.77 0.90 89.6627 36.55 17.62 0.93 93.1028 35.63 16.74 0.97 96.55

10

0.00 20.00 40.00 60.00 80.00 100.00 120.000.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00

45.00

f(x) = 0.00419643641639431 x² − 0.649183312779722 x + 42.3511140221153R² = 0.941148318830984

Curva de Disponibilidad (Febrero)

Series2Polynomial (Series2)

Frecuencia %

Qm

3/s

Frecuencia 10 15 20 25 30 40 50 60 70 75 80 85 90 95

Q real 36.27 35.41 34.07 30.84 23.04 22.10 20.31 18.81 18.39 18.39 18.21

17.98 17.76 17.14

Q gen 36.28 33.56 31.05 28.74 26.65 23.10 20.38 18.51 17.47 17.27 17.27 17.49 17.92 18.55

11

MARZO

Nº Dato QMarzo QMarzo (descendente) Frecuencia %1.00 31.86 41.58 0.03 3.132.00 31.59 41.58 0.06 6.253.00 30.52 40.87 0.09 9.384.00 30.79 38.82 0.13 12.505.00 30.79 38.16 0.16 15.636.00 30.79 36.55 0.19 18.757.00 30.52 36.24 0.22 21.888.00 30.26 35.63 0.25 25.009.00 28.01 33.84 0.28 28.13

10.00 28.01 33.84 0.31 31.2511.00 28.26 33.26 0.34 34.3812.00 29.49 31.86 0.38 37.5013.00 31.86 31.86 0.41 40.6314.00 33.84 31.86 0.44 43.7515.00 35.63 31.59 0.47 46.8816.00 38.16 30.79 0.50 50.0017.00 40.87 30.79 0.53 53.1318.00 41.58 30.79 0.56 56.2519.00 36.24 30.52 0.59 59.3820.00 36.55 30.52 0.63 62.5021.00 38.82 30.52 0.66 65.6322.00 41.58 30.26 0.69 68.7523.00 33.84 29.49 0.72 71.8824.00 33.26 28.26 0.75 75.0025.00 30.52 28.01 0.78 78.1326.00 31.86 28.01 0.81 81.2527.00 28.01 28.01 0.84 84.3828.00 26.15 26.15 0.88 87.5029.00 23.59 24.84 0.91 90.6330.00 23.80 23.80 0.94 93.7531.00 24.84 23.59 0.97 96.88

12

0.00 20.00 40.00 60.00 80.00 100.00 120.000.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00

45.00

f(x) = 0.00078953728613982 x² − 0.244997941818276 x + 41.6566836839045R² = 0.950696336311866

Curva de Disponibilidad (Marzo)

Serie1Polynomial (Serie1)

Frecuencia %

Qm

3/s

Frecuencia 10 15 20 25 30 40 50 60 70 75 80 85 90 95Q real 40.46 38.29 36.43 35.63 33.84 31.86 30.79 30.52 29.96 28.26 28.01 27.64 25.10 23.72

Q gen 39.29 38.16 37.07 36.03 35.02 33.12 31.38 29.80 28.38 27.72 27.11 26.54 26.00 25.51

13

ANUALNº Dato QMensual Qmensua des Frecuencia %

1 10.71 41.58 0.00273 0.273222 10.71 41.58 0.00546 0.546453 10.71 40.87 0.00820 0.819674 10.99 39.49 0.01093 1.092905 10.90 38.82 0.01366 1.366126 11.09 38.16 0.01639 1.639347 11.18 36.55 0.01913 1.912578 11.18 36.55 0.02186 2.185799 11.98 36.24 0.02459 2.45902

10 11.87 36.24 0.02732 2.7322411 11.67 36.24 0.03005 3.0054612 11.87 36.24 0.03279 3.2786913 11.98 35.63 0.03552 3.5519114 12.18 35.63 0.03825 3.8251415 12.29 35.63 0.04098 4.0983616 12.39 35.02 0.04372 4.3715817 12.50 35.02 0.04645 4.6448118 12.08 34.72 0.04918 4.9180319 11.98 34.42 0.05191 5.1912620 11.67 34.13 0.05464 5.4644821 11.18 33.84 0.05738 5.7377022 11.87 33.84 0.06011 6.0109323 11.98 33.84 0.06284 6.2841524 12.50 33.84 0.06557 6.5573825 12.94 33.84 0.06831 6.8306026 13.16 33.84 0.07104 7.1038327 13.16 33.55 0.07377 7.3770528 12.94 33.26 0.07650 7.6502729 13.05 33.26 0.07923 7.9235030 13.27 33.26 0.08197 8.1967231 12.94 33.26 0.08470 8.4699532 13.05 32.98 0.08743 8.7431733 12.72 32.69 0.09016 9.0163934 12.50 32.14 0.09290 9.2896235 13.27 32.14 0.09563 9.5628436 13.50 31.86 0.09836 9.8360737 13.62 31.86 0.10109 10.1092938 13.86 31.86 0.10383 10.3825139 13.74 31.86 0.10656 10.6557440 13.16 31.86 0.10929 10.9289641 13.27 31.86 0.11202 11.2021942 14.10 31.59 0.11475 11.4754143 14.72 31.59 0.11749 11.74863

14

44 14.59 31.32 0.12022 12.0218645 14.46 31.32 0.12295 12.2950846 14.34 31.05 0.12568 12.5683147 14.22 31.05 0.12842 12.8415348 14.10 30.79 0.13115 13.1147549 14.34 30.79 0.13388 13.3879850 14.22 30.79 0.13661 13.6612051 13.98 30.52 0.13934 13.9344352 13.50 30.52 0.14208 14.2076553 13.27 30.52 0.14481 14.4808754 13.16 30.52 0.14754 14.7541055 13.16 30.26 0.15027 15.0273256 13.16 30.26 0.15301 15.3005557 13.16 30.01 0.15574 15.5737758 13.27 30.01 0.15847 15.8469959 13.50 30.01 0.16120 16.1202260 13.98 30.01 0.16393 16.3934461 14.10 30.01 0.16667 16.6666762 14.22 30.01 0.16940 16.9398963 14.46 29.49 0.17213 17.2131164 15.36 29.49 0.17486 17.4863465 12.94 29.49 0.17760 17.7595666 12.18 29.49 0.18033 18.0327967 11.98 29.24 0.18306 18.3060168 11.98 28.99 0.18579 18.5792369 11.98 28.26 0.18852 18.8524670 11.98 28.26 0.19126 19.1256871 12.08 28.26 0.19399 19.3989172 12.94 28.01 0.19672 19.6721373 13.27 28.01 0.19945 19.9453674 13.16 28.01 0.20219 20.2185875 12.83 28.01 0.20492 20.4918076 12.94 28.01 0.20765 20.7650377 13.27 28.01 0.21038 21.0382578 13.39 28.01 0.21311 21.3114879 13.62 26.61 0.21585 21.5847080 13.86 26.15 0.21858 21.8579281 13.98 26.15 0.22131 22.1311582 14.10 25.93 0.22404 22.4043783 14.34 25.71 0.22678 22.6776084 14.46 25.49 0.22951 22.9508285 14.59 25.27 0.23224 23.2240486 14.84 25.27 0.23497 23.4972787 15.36 24.84 0.23770 23.7704988 15.49 24.84 0.24044 24.0437289 15.63 23.80 0.24317 24.31694

15

90 16.03 23.59 0.24590 24.5901691 16.45 23.59 0.24863 24.8633992 16.59 23.59 0.25137 25.1366193 16.74 23.59 0.25410 25.4098494 17.03 22.80 0.25683 25.6830695 17.32 22.80 0.25956 25.9562896 17.62 22.60 0.26230 26.2295197 18.08 22.60 0.26503 26.5027398 20.74 22.41 0.26776 26.7759699 22.03 22.22 0.27049 27.04918

100 29.24 22.03 0.27322 27.32240101 30.01 22.03 0.27596 27.59563102 30.01 22.03 0.27869 27.86885103 30.01 21.65 0.28142 28.14208104 30.01 21.65 0.28415 28.41530105 31.05 21.65 0.28689 28.68852106 31.05 21.65 0.28962 28.96175107 31.32 21.65 0.29235 29.23497108 32.14 21.47 0.29508 29.50820109 33.84 21.29 0.29781 29.78142110 34.13 21.29 0.30055 30.05464111 34.42 21.10 0.30328 30.32787112 35.02 20.92 0.30601 30.60109113 35.63 20.74 0.30874 30.87432114 36.24 20.74 0.31148 31.14754115 32.14 20.74 0.31421 31.42077116 32.98 20.74 0.31694 31.69399117 33.84 20.57 0.31967 31.96721118 32.69 20.39 0.32240 32.24044119 31.86 20.22 0.32514 32.51366120 31.86 20.22 0.32787 32.78689121 31.59 20.22 0.33060 33.06011122 31.32 20.04 0.33333 33.33333123 30.01 20.04 0.33607 33.60656124 29.49 19.87 0.33880 33.87978125 28.01 19.87 0.34153 34.15301126 28.01 19.87 0.34426 34.42623127 28.26 19.87 0.34699 34.69945128 28.26 19.20 0.34973 34.97268129 28.99 18.87 0.35246 35.24590130 29.49 18.71 0.35519 35.51913131 30.01 18.55 0.35792 35.79235132 30.26 18.39 0.36066 36.06557133 33.26 18.39 0.36339 36.33880134 33.55 18.39 0.36612 36.61202135 28.01 18.24 0.36885 36.88525

16

136 23.59 18.24 0.37158 37.15847137 21.65 18.24 0.37432 37.43169138 18.24 18.08 0.37705 37.70492139 18.24 18.08 0.37978 37.97814140 13.16 17.93 0.38251 38.25137141 13.27 17.93 0.38525 38.52459142 13.39 17.77 0.38798 38.79781143 13.50 17.62 0.39071 39.07104144 13.62 17.62 0.39344 39.34426145 14.22 17.62 0.39617 39.61749146 14.34 17.47 0.39891 39.89071147 14.59 17.47 0.40164 40.16393148 14.84 17.32 0.40437 40.43716149 15.10 17.03 0.40710 40.71038150 15.36 17.03 0.40984 40.98361151 15.63 16.88 0.41257 41.25683152 16.45 16.74 0.41530 41.53005153 16.59 16.74 0.41803 41.80328154 17.62 16.74 0.42077 42.07650155 16.74 16.59 0.42350 42.34973156 17.77 16.59 0.42623 42.62295157 17.93 16.45 0.42896 42.89617158 18.08 16.45 0.43169 43.16940159 18.24 16.45 0.43443 43.44262160 18.39 16.03 0.43716 43.71585161 18.39 15.63 0.43989 43.98907162 18.39 15.63 0.44262 44.26230163 18.55 15.49 0.44536 44.53552164 18.71 15.36 0.44809 44.80874165 18.87 15.36 0.45082 45.08197166 19.20 15.36 0.45355 45.35519167 19.87 15.10 0.45628 45.62842168 20.74 15.10 0.45902 45.90164169 21.29 15.10 0.46175 46.17486170 22.03 15.10 0.46448 46.44809171 22.22 14.84 0.46721 46.72131172 22.41 14.84 0.46995 46.99454173 22.80 14.84 0.47268 47.26776174 23.59 14.84 0.47541 47.54098175 33.26 14.72 0.47814 47.81421176 33.84 14.72 0.48087 48.08743177 35.02 14.72 0.48361 48.36066178 36.24 14.72 0.48634 48.63388179 39.49 14.72 0.48907 48.90710180 36.55 14.59 0.49180 49.18033181 35.63 14.59 0.49454 49.45355

17

182 31.86 14.59 0.49727 49.72678183 31.59 14.59 0.50000 50.00000184 30.52 14.59 0.50273 50.27322185 30.79 14.59 0.50546 50.54645186 30.79 14.46 0.50820 50.81967187 30.79 14.46 0.51093 51.09290188 30.52 14.46 0.51366 51.36612189 30.26 14.46 0.51639 51.63934190 28.01 14.46 0.51913 51.91257191 28.01 14.34 0.52186 52.18579192 28.26 14.34 0.52459 52.45902193 29.49 14.34 0.52732 52.73224194 31.86 14.34 0.53005 53.00546195 33.84 14.34 0.53279 53.27869196 35.63 14.34 0.53552 53.55191197 38.16 14.34 0.53825 53.82514198 40.87 14.22 0.54098 54.09836199 41.58 14.22 0.54372 54.37158200 36.24 14.22 0.54645 54.64481201 36.55 14.22 0.54918 54.91803202 38.82 14.10 0.55191 55.19126203 41.58 14.10 0.55464 55.46448204 33.84 14.10 0.55738 55.73770205 33.26 14.10 0.56011 56.01093206 30.52 14.10 0.56284 56.28415207 31.86 14.10 0.56557 56.55738208 28.01 13.98 0.56831 56.83060209 26.15 13.98 0.57104 57.10383210 23.59 13.98 0.57377 57.37705211 23.80 13.86 0.57650 57.65027212 24.84 13.86 0.57923 57.92350213 25.27 13.74 0.58197 58.19672214 25.49 13.62 0.58470 58.46995215 25.93 13.62 0.58743 58.74317216 29.49 13.62 0.59016 59.01639217 31.86 13.50 0.59290 59.28962218 33.26 13.50 0.59563 59.56284219 33.84 13.50 0.59836 59.83607220 36.24 13.50 0.60109 60.10929221 34.72 13.50 0.60383 60.38251222 30.52 13.50 0.60656 60.65574223 28.01 13.39 0.60929 60.92896224 26.61 13.39 0.61202 61.20219225 25.71 13.27 0.61475 61.47541226 26.15 13.27 0.61749 61.74863227 25.27 13.27 0.62022 62.02186

18

228 24.84 13.27 0.62295 62.29508229 23.59 13.27 0.62568 62.56831230 22.60 13.27 0.62842 62.84153231 20.74 13.27 0.63115 63.11475232 20.22 13.27 0.63388 63.38798233 20.22 13.16 0.63661 63.66120234 20.22 13.16 0.63934 63.93443235 20.39 13.16 0.64208 64.20765236 20.57 13.16 0.64481 64.48087237 20.74 13.16 0.64754 64.75410238 20.92 13.16 0.65027 65.02732239 21.65 13.16 0.65301 65.30055240 21.47 13.16 0.65574 65.57377241 21.29 13.16 0.65847 65.84699242 21.10 13.16 0.66120 66.12022243 21.65 13.05 0.66393 66.39344244 22.03 13.05 0.66667 66.66667245 22.60 13.05 0.66940 66.93989246 22.80 12.94 0.67213 67.21311247 21.65 12.94 0.67486 67.48634248 19.87 12.94 0.67760 67.75956249 21.65 12.94 0.68033 68.03279250 20.04 12.94 0.68306 68.30601251 20.04 12.94 0.68579 68.57923252 19.87 12.94 0.68852 68.85246253 19.87 12.94 0.69126 69.12568254 17.47 12.83 0.69399 69.39891255 17.47 12.83 0.69672 69.67213256 17.62 12.72 0.69945 69.94536257 17.93 12.61 0.70219 70.21858258 17.03 12.50 0.70492 70.49180259 16.88 12.50 0.70765 70.76503260 16.74 12.50 0.71038 71.03825261 16.45 12.39 0.71311 71.31148262 15.10 12.39 0.71585 71.58470263 14.72 12.39 0.71858 71.85792264 14.72 12.39 0.72131 72.13115265 14.72 12.29 0.72404 72.40437266 14.84 12.29 0.72678 72.67760267 14.59 12.29 0.72951 72.95082268 14.46 12.18 0.73224 73.22404269 14.59 12.18 0.73497 73.49727270 14.72 12.18 0.73770 73.77049271 14.34 12.08 0.74044 74.04372272 14.46 12.08 0.74317 74.31694273 14.34 12.08 0.74590 74.59016

19

274 14.34 12.08 0.74863 74.86339275 14.59 12.08 0.75137 75.13661276 14.84 12.08 0.75410 75.40984277 15.10 11.98 0.75683 75.68306278 15.10 11.98 0.75956 75.95628279 14.10 11.98 0.76230 76.22951280 14.10 11.98 0.76503 76.50273281 13.50 11.98 0.76776 76.77596282 13.50 11.98 0.77049 77.04918283 12.94 11.98 0.77322 77.32240284 13.05 11.98 0.77596 77.59563285 12.83 11.87 0.77869 77.86885286 12.61 11.87 0.78142 78.14208287 12.39 11.87 0.78415 78.41530288 12.94 11.87 0.78689 78.68852289 13.16 11.87 0.78962 78.96175290 12.39 11.87 0.79235 79.23497291 12.29 11.77 0.79508 79.50820292 12.08 11.67 0.79781 79.78142293 12.08 11.67 0.80055 80.05464294 11.87 11.67 0.80328 80.32787295 11.67 11.67 0.80601 80.60109296 11.67 11.67 0.80874 80.87432297 10.90 11.57 0.81148 81.14754298 10.90 11.37 0.81421 81.42077299 10.71 11.37 0.81694 81.69399300 10.62 11.28 0.81967 81.96721301 10.53 11.28 0.82240 82.24044302 10.44 11.28 0.82514 82.51366303 10.44 11.28 0.82787 82.78689304 11.67 11.18 0.83060 83.06011305 10.99 11.18 0.83333 83.33333306 10.90 11.18 0.83607 83.60656307 10.90 11.18 0.83880 83.87978308 10.80 11.18 0.84153 84.15301309 10.71 11.09 0.84426 84.42623310 10.62 11.09 0.84699 84.69945311 10.80 10.99 0.84973 84.97268312 10.99 10.99 0.85246 85.24590313 11.37 10.99 0.85519 85.51913314 11.28 10.99 0.85792 85.79235315 11.28 10.99 0.86066 86.06557316 11.28 10.99 0.86339 86.33880317 11.28 10.90 0.86612 86.61202318 10.80 10.90 0.86885 86.88525319 10.71 10.90 0.87158 87.15847

20

320 10.62 10.90 0.87432 87.43169321 10.53 10.90 0.87705 87.70492322 10.44 10.80 0.87978 87.97814323 10.35 10.80 0.88251 88.25137324 10.17 10.80 0.88525 88.52459325 10.00 10.80 0.88798 88.79781326 10.00 10.80 0.89071 89.07104327 10.09 10.80 0.89344 89.34426328 9.91 10.71 0.89617 89.61749329 9.91 10.71 0.89891 89.89071330 9.83 10.71 0.90164 90.16393331 9.75 10.71 0.90437 90.43716332 9.66 10.71 0.90710 90.71038333 9.66 10.71 0.90984 90.98361334 9.58 10.71 0.91257 91.25683335 10.53 10.62 0.91530 91.53005336 10.99 10.62 0.91803 91.80328337 10.80 10.62 0.92077 92.07650338 10.62 10.62 0.92350 92.34973339 10.62 10.62 0.92623 92.62295340 10.71 10.53 0.92896 92.89617341 10.80 10.53 0.93169 93.16940342 10.99 10.53 0.93443 93.44262343 11.09 10.53 0.93716 93.71585344 11.18 10.44 0.93989 93.98907345 11.18 10.44 0.94262 94.26230346 11.37 10.44 0.94536 94.53552347 11.57 10.35 0.94809 94.80874348 11.87 10.26 0.95082 95.08197349 12.08 10.17 0.95355 95.35519350 12.18 10.09 0.95628 95.62842351 12.29 10.00 0.95902 95.90164352 12.39 10.00 0.96175 96.17486353 12.08 9.91 0.96448 96.44809354 11.87 9.91 0.96721 96.72131355 11.77 9.91 0.96995 96.99454356 10.99 9.83 0.97268 97.26776357 10.80 9.75 0.97541 97.54098358 10.53 9.66 0.97814 97.81421359 10.26 9.66 0.98087 98.08743360 9.91 9.58 0.98361 98.36066361 9.26 9.26 0.98634 98.63388362 9.26 9.26 0.98907 98.90710363 9.18 9.18 0.99180 99.18033364 9.10 9.10 0.99454 99.45355365 9.10 9.10 0.99727 99.72678

21

0.00000

20.00000

40.00000

60.00000

80.00000

100.00000

120.000000.005.00

10.0015.0020.0025.0030.0035.0040.0045.00

f(x) = 0.00390133601350792 x² − 0.657501260158738 x + 38.3942063035854R² = 0.98624674747533

Curva de Disponibilidad (Anual)

Series2Polynomial (Series2)

Frecuencia %

Qm

3/s

Frecuencia 10 15 20 25 30 40 50 60 70 75 80 85 90 95Q real 31.86 30.29 28.01 23.59 21.29 17.47 14.59 13.50 12.70 12.08 11.67 10.99 10.71 10.29

Q gen 32.21 29.41 26.80 24.40 22.18 18.34 15.27 12.99 11.49 11.03 10.76 10.69 10.82 11.14

22