Trabajo Final(3)

HIDROLÓGICA

DIEGO DAVID RODRÍGUEZ SANDOVAL

VÍCTOR MARTÍNEZ CARMONA

HUGO ARMANDO MARTÍNEZ GARCÍA

YESENIA ESPINOZA MARTÍNEZ

ING. ROMERO LÓPEZ RABINDRANARTH

HIDROLOGIA

INGENIERÍA CIVIL

2

ÍNDICEPág.

Seleccionar una Carta Topográfica escala 1:50,000

Identificar una Cuenca

Delimitar su Parteaguas

Calcular el Área de la Cuenca

Definir la Red de Corrientes

Comprobación de la Ley de Horton

Comprobación de la Ley de GrayDefinir el Cauce Principal

Calcular la Pendiente de la Cuenca

Calcular la Pendiente del Cauce Principal

a) Método del Charro

b) Método de la Compensadora

c) Método 10-85

d) Método de Taylor-Schwarz

Dibujar la Curva Hipsométrica

Calcular las Elevaciones Media y Mediana

Calcular la Tortuosidad…Hp media………………………………………………………………………………………………………………………….15

Curva masa media…………………………………………………………………………………………..……………….18

Curvas hp A D………………………………………………………………………………………………………………..…21

Curvas I D T……………………………………………………………………………………………..……………………….32

HIDROLOGIA

3

SELECCIONAR CARTA TOPOGRÁFICA

CARTA TOPOGRAFICA DE PEROTE CON NUMERO E14B26

IDENTIFICAR LA CUENCA

HIDROLOGIA

4

DELIMITAR PARTEAGUAS

ÁREA DE LA CUENCAA=68.95 Km²

HIDROLOGIA

5

GEOMORFOLOGÍA DE DE LA CUENCAÁrea de la cuenca: 68.95 km²Perímetro de la cuenca: 43.08 kmLongitud máxima de la cuenca: 21.29 kmLongitud cauce principal: 21.29 kmLongitud al centroíde: 8.58 km

CONCLUSION DE RESULTADOS

El COEFICIENTE DE COMPACIDAD Cc>1 al igual que el FACTOR DE REDONDEZ nos indican que no es una cuenca circular, que tiene una forma alargada y simétrica.La RELACIÓN DE ELONGACIÓN nos indica que el relieve es muy fuerte.

HIDROLOGIA

CONCEPTO FORMULA RESULTADOCOEFICIENTE DE COMPACIDAD Cc=0.282 P √A 1.46RELACIÓN DE ELONGACIÓN Re=1.1284√A /LC 0.44FACTOR DE FORMA Li=(L*Lg)0.3 4.77FACTOR DE REDONDEZ Fc=P/(4∏A)0.5 1.46RELACIÓN DE FORMA Kƒ=A/L² 0.15

6

DEFINIR RED DE CORRIENTES

HIDROLOGIA

W Nw Rb Nwc Ω= 41 24 4.00 27.002 6 3.00 9.003 2 2.00 3.004 1

7

COMPROBACIÓN DE LA LEY DE HORTON

PROMEDIO

∑ Rb

w−1=93=3


Que el numero de total de corrientes de orden 1 de nuestra cuenca debería ser de 27 en lugar de 24; el total de corrientes de orden 2 debería ser de 9 en lugar de 6, el total de corrientes de orden 3 debería ser de 3 en lugar de 2, y no habría corrientes de orden 4; el total de corrientes con horton es de 39 en lugar de 34.

COMPROBACIÓN DE LEY DE GRAYL=1.312 (68.95)0.568 = 14.5285 Km

A=68.95 Km²


Que la longitud del cause principal en función de su area debería de ser de 14.5285 Km en lugar de 21.29135 km

COMPROBACIÓN DE LEY DE MELTONDs= 0.694 Dd²

Dd= Ls/A Dd=95.395/68.95 =1.383

Ls= 95.395 Km

Ds=0.694 (1.383)²

Ds=1.327


Que la densidad de drenaje es de 1.383 es decir que se produce un 38.3 % de intensidad en las corrientes intermitentes y perennes en relación a la longitud total de sus ríos sobre el área de la cuenca.

Que la densidad de corrientes es de 1.327 en relación a la densidad de drenaje de las corrientes y el área drenada.

HIDROLOGIA

8

DEFINIR EL CAUSE PRINCIPAL

LONGITUD CAUSE PRINCIPAL: 21291.35 M

HIDROLOGIA

9

CALCULO DE LA PENDIENTE DE LA CUENCAa) METODO DE ALVORD

Método Alvord Calculo Pendientelongitud curva curva desnivel área w Ancho Pendiente s Pendiente %

820.0453 1 40 10409597.78 12693.93018 0.003151112 0.32%9387.026 2 40 12125667.88 1291.747554 0.030965803 3.10%9916.368 3 80 7883947.73 795.043884 0.100623376 10.06%

8950.2496 4 100 4120580.312 460.3871955 0.217208474 21.72%11437.1141 5 100 4659935.676 407.439817 0.245435021 24.54%

7968.426 6 120 4507235.741 565.6368951 0.212150235 21.22%8158.0487 7 100 4887783.622 599.1363624 0.166906912 16.69%7817.8844 8 100 4840915.27 619.2103928 0.161495997 16.15%5808.1921 9 120 4425384.271 761.9211271 0.157496617 15.75%5052.555 10 80 2270487.902 449.374208 0.178025349 17.80%

4897.5769 11 100 2777692.021 567.1563873 0.176318212 17.63%4029.0332 12 120 2461442.619 610.9263678 0.196423016 19.64%2834.9639 13 100 1258799.726 444.0267214 0.225211671 22.52%2949.0279 14 100 775380.9669 262.9276471 0.380332769 38.03%2182.1571 15 120 899487.3429 412.2010019 0.291120108 29.11%1616.0869 16 80 434394.8692 268.7942518 0.297625412 29.76%522.0771 17 60 183422.5863 351.3323727 0.170778456 17.08%

Pendiente Media 0.188898149 18.89%

CALCULO DE LA PENDIENTE DEL CAUSE PRINCIPAL

Método del “Charro”

S=H/L

HIDROLOGIA

10

S=1543.04 m /21291.35 m

S=0.072

Método de la CompensadoraS=H/L

S=1511.68m /21291.35 m

S=0.071

Método 10-85S=Δ H10-85/Δ L10-85

S=1157.28 m/15968.51 m

S=0.072

Método de Taylor –Shwarz

ELEVACIONALTURA EN C/TRAMO

DIST. EN C/TRAMO PENDIENTE EN C/TRAMO 1/s½

DIST. ACUMULADA

3884.11-3900 210 1000 M 0.21 2.18 0

HIDROLOGIA

11

3674.11 197.13 1000 M 0.19713 2.25 10003476.98 92.87 1000 M 0.09287 3.28 20003384.11 139.76 1000 M 0.13976 2.67 30003244.35 103.56 1000 M 0.10356 3.1 40003140.79 80.18 1000 M 0.08018 3.53 50003060.61 76.26 1000 M 0.07626 3.62 60002984.35 104.24 1000 M 0.10424 3.09 70002880.11 80.7 1000 M 0.0807 3.52 80002799.41 62.79 1000 M 0.06279 3.99 90002736.62 52.27 1000 M 0.05227 4.37 100002684.35 73.77 1000 M 0.07377 3.68 110002610.58 72.33 1000 M 0.07233 3.71 120002538.25 67.78 1000 M 0.06778 3.84 130002470.47 38.04 1000 M 0.03804 5.12 140002432.43 23.74 1000 M 0.02374 6.49 150002408.69 17.2 1000 M 0.0172 7.62 160002391.49 13.7 1000 M 0.0137 8.54 170002377.79 13.2 1000 M 0.0132 8.7 180002364.59 11.95 1000 M 0.01195 9.14 190002352.64 15.12 1000 M 0.01512 8.13 200002337.52 11.55 1000 M 0.01155 9.3 21000

2300-2325.97 5.97 291.35 M 0.02049 6.98 21291.35

S= [m÷1

√S ]²

S=0.07109

HIDROLOGIA

12

CURVA HIPSOMÉTRICA

Acumulado Altura0.002863 39000.358373 38001.048744 37001.852798 36002.981484 35004.655325 34006.878926 3300

10.005018 320013.237998 310017.618697 300022.234239 290027.269584 280032.888259 270036.886027 260041.46692 2500

53.338324 240068.845597 234068.935509 2325.97

HIDROLOGIA

Elevación Altura Área Km2 Acumulado3900-3920 3900 0.002863 0.0028633800-3900 3800 0.35551 0.3583733700-3800 3700 0.690371 1.0487443600-3700 3600 0.804054 1.8527983500-3600 3500 1.128686 2.9814843400-3500 3400 1.673841 4.6553253300-3400 3300 2.223601 6.8789263200-3300 3200 3.126092 10.0050183100-3200 3100 3.23298 13.2379983000-3100 3000 4.380699 17.6186972900-3000 2900 4.615542 22.2342392800-2900 2800 5.035345 27.2695842700-2800 2700 5.618675 32.8882592600-2700 2600 3.997768 36.8860272500-2600 2500 4.580893 41.466922400-2500 2400 11.871404 53.3383242340-2400 2340 15.507273 68.8455972325.97-

23402325.97 0.089912 68.935509

a media 34.465h media 2613.63

13

Cause Principal 21295.35 M


Con esto se concluye que es una cuenca madura que no está erosionada ni con mucho relieve.

HIDROLOGIA

0 10 20 30 40 50 60 70 800

500

1000

1500

2000

2500

3000

3500

4000

4500

Altura

Altura

Area Acumulado en Km2

Alturas

14

ELEVACIONES MEDIA Y MEDIANA

Área Media= 34.465

Elevación Mediana =2613.63

Elevación media método aritmético

3800+1399.32/2=2599.66

TORTUOSIDADLv= 21291.35 m

Le= 17687.92 m

T= Lv¿

T=21291.35m17687.92m

=1.20

Por lo Tanto

1.20< 1.5 Por lo que no es Tortuoso.

HIDROLOGIA

15

HP MEDIA

METODO ARITMETICO

Hp=1n∑¿i=1

n¿hpi ¿

¿

hp=15

(458 )

Estación Hp i1 1252 403 924 715 130∑ 458hp 91.60

HIDROLOGIA

16

METODO DE THIESSEN

Polígonos de thiessen

Áreas de thiessen

HIDROLOGIA

17

Número Área hpi A*hpi1 6.95 125 868.7502 16.87 40 674.8003 0.99 92 91.0804 39.81 71 2826.5105 4.330 130 562.900

At 68.95 ∑Ai*hpi 5024.0hp=¿72.86497462

METODO DE ISOYETAS

HIDROLOGIA

18

Interpolación de isoyetas

HIDROLOGIA

19

Número Área hpi A*hpi1 7.15 55 393.2502 22.15 65 1439.7503 11.53 75 864.7504 11.04 85 938.4005 6.760 95 642.2006 3.91 105 410.557 3.2 115 3688 3.18 125 397.5

At 68.92 ∑Ai*hpi 5454.4hp=¿

79.14103308

CURVA MASA MEDIA

a1 a2 a3 a4 a56.95 16.87 0.99 39.81 4.330

Hora hp1 hp2 hp3 hp4 hp50 0 0 0 0 02 5 0 0 0 54 10 5 5 5 106 20 5 5 5 208 25 5 10 10 30

10 30 5 20 10 5012 40 10 40 20 5014 50 10 40 30 6516 60 15 60 50 6518 90 20 60 50 8020 90 25 80 55 9022 90 25 80 60 11024 125 35 85 60 11026 125 40 92 71 12028 125 40 92 71 130

HIDROLOGIA

20

hp1a1 hp2a2 hp3a3 hp4a4 hp5a5 ∑hpi*Ai ∑hpi*Ai/At0 0 0 0 0 0 0

34.75 0 0 0 21.65 56.4 0.81834010469.5 84.35 4.95 199.05 43.3 401.15 5.820516541139 84.35 4.95 199.05 86.6 513.95 7.45719675

173.75 84.35 9.9 398.1 129.9 796 11.54962275208.5 84.35 19.8 398.1 216.5 927.25 13.45400464278 168.7 39.6 796.2 216.5 1499 21.7498549

347.5 168.7 39.6 1194.3 281.45 2031.55 29.47692977417 253.05 59.4 1990.5 281.45 3001.4 43.54904237

625.5 337.4 59.4 1990.5 346.4 3359.2 48.74056878625.5 421.75 79.2 2189.55 389.7 3705.7 53.76813697625.5 421.75 79.2 2388.6 476.3 3991.35 57.91279745

868.75 590.45 84.15 2388.6 476.3 4408.25 63.96183981868.75 674.8 91.08 2826.51 519.6 4980.74 72.26842716868.75 674.8 91.08 2826.51 562.9 5024.04 72.89669182

GRAFICA DE HP

0 5 10 15 20 25 300

20

40

60

80

100

120

140

hp1hp2hp3hp4hp5

Factor de ajuste:

Factor Ajuste= 1.08613272

HIDROLOGIA

21

Hora Curva Sin ajustarCurva Ajustada

0 0 02 0.818340104 0.8888259644 5.820516541 6.3218534636 7.45719675 8.099505398 11.54962275 12.54442317

10 13.45400464 14.6128346612 21.7498549 23.6232290714 29.47692977 32.0158579116 43.54904237 47.3000398418 48.74056878 52.9387265420 53.76813697 58.3993328622 57.91279745 62.9009842224 63.96183981 69.4710470626 72.26842716 78.4931033728 72.89669182 79.17548217

GRAFICA FACTOR DE AJUSTE

0 5 10 15 20 25 300

10

20

30

40

50

60

70

80

90

Curva Sin ajustarCurva Ajustada

Se concluye que cuando se desea conocer la variación en el tiempo de la precipitación media en la cuenca, es necesario determinar una curva masa media de precipitación. Esta curva se construye

aplicando el método aritmético o el de polígonos de thiessen a las alturas de precipitación acumuladas en cada estación para diferentes tiempos. El resultado será una curva masa media y

se puede refinar calculando la precipitación media de toda la tormenta con el método de las isoyetas y multiplicando cada ordenada de la curva masa media por el factor de ajuste.

CURVA HP A D

HIDROLOGIA

22

Isoyeta 1 a2 a44.82 2.33

Hora hp2 hp4 (hp2)(A2) (hp4)(A4) hp hp ajustada

HIDROLOGIA

23

0 0 0 0 0 0 02 0 0 0 0 0 04 5 5 24.1 11.65 5 5.4887921176 5 5 24.1 11.65 5 5.4887921178 5 10 24.1 23.3 6.629370629 7.27744745

10 5 10 24.1 23.3 6.629370629 7.2774474512 10 20 48.2 46.6 13.25874126 14.554894914 10 30 48.2 69.9 16.51748252 18.1322055716 15 50 72.3 116.5 26.40559441 28.9869636818 20 50 96.4 116.5 29.77622378 32.6871004720 25 55 120.5 128.15 34.77622378 38.1758925822 25 60 120.5 139.8 36.40559441 39.9645479224 35 60 168.7 139.8 43.14685315 47.3648214826 40 71 192.8 165.43 50.1020979 5528 40 71 192.8 165.43 50.1020979 55

Fa 1.09775842

Isoyeta 2 a2 a44.47 17.68

Hora hp2 hp4 (hp2)(A2) (hp4)(A4) hp Hp Ajustada0 0 0 0 0 0 02 0 0 0 0 0 04 5 5 22.35 88.4 5 5.0197687726 5 5 22.35 88.4 5 5.0197687728 5 10 22.35 176.8 8.990970655 9.026518744

10 5 10 22.35 176.8 8.990970655 9.02651874412 10 20 44.7 353.6 17.98194131 18.0530374914 10 30 44.7 530.4 25.96388262 26.0665374316 15 50 67.05 884 42.93679458 43.1065561218 20 50 89.4 884 43.94582393 44.1195749220 25 55 111.75 972.4 48.94582393 49.1393436922 25 60 111.75 1060.8 52.93679458 53.1460936624 35 60 156.45 1060.8 54.95485327 55.1721312626 40 71 178.8 1255.28 64.74401806 6528 40 71 178.8 1255.28 64.74401806 65

Fa 1.00395375

isoyeta 3 a1 a2 a3 a40.39 5.09 0.856 4.867

Hora hp1 hp2 hp3 hp4 hp1a10 0 0 0 0 02 5 0 0 0 1.954 10 5 5 5 3.9

HIDROLOGIA

24

6 20 5 5 5 7.88 25 5 10 10 9.75

10 30 5 20 10 11.712 40 10 40 20 15.614 50 10 40 30 19.516 60 15 60 50 23.418 90 20 60 50 35.120 90 25 80 55 35.122 90 25 80 60 35.124 125 35 85 60 48.7526 125 40 92 71 48.7528 125 40 92 71 48.75

hp2a2 hp3a3 hp4a4 hpHp

Ajustada0 0 0 0 00 0 0 0.16912402 0.21613545

25.45 4.28 24.335 5.02732003 6.4247649125.45 4.28 24.335 5.36556808 6.8570358225.45 8.56 48.67 8.01647875 10.244820525.45 17.12 48.67 8.92801388 11.409735250.9 34.24 97.34 17.1795317 21.954928650.9 34.24 146.01 21.7389419 27.7817187

76.35 51.36 243.35 34.2116219 43.7214313101.8 51.36 243.35 37.4336513 47.8390888

127.25 68.48 267.685 43.23634 55.2547517127.25 68.48 292.02 45.3469211 57.9520113178.15 72.76 292.02 51.3165655 65.5810386203.6 78.752 345.557 58.686817 75203.6 78.752 345.557 58.686817 75

fa 1.277970144

isoyeta 4 a1 a2 a3 a44.166 2.48 0.134 4.253

Hora hp1 hp2 hp3 hp4 hp1a10 0 0 0 0 02 5 0 0 0 20.834 10 5 5 5 41.666 20 5 5 5 83.32

HIDROLOGIA

25

8 25 5 10 10 104.1510 30 5 20 10 124.9812 40 10 40 20 166.6414 50 10 40 30 208.316 60 15 60 50 249.9618 90 20 60 50 374.9420 90 25 80 55 374.9422 90 25 80 60 374.9424 125 35 85 60 520.7526 125 40 92 71 520.7528 125 40 92 71 520.75

hp2a2 hp3a3 hp4a4 HpHP

Ajustada0 0 0 0 00 0 0 1.88677536 1.8951748

12.4 0.67 21.265 6.88360507 6.9142491112.4 0.67 21.265 10.6571558 10.704598712.4 1.34 42.53 14.5307971 14.595484512.4 2.68 42.53 16.5389493 16.612576424.8 5.36 85.06 25.5307971 25.644453624.8 5.36 127.59 33.1567029 33.30430837.2 8.04 212.65 46.0009058 46.2056949.6 8.04 212.65 58.4447464 58.704927362 10.72 233.915 61.7368659 62.011702562 10.72 255.18 63.6630435 63.9464549

86.8 11.39 255.18 79.1775362 79.530014299.2 12.328 301.963 84.623279 8599.2 12.328 301.963 84.623279 85

fa 1.004451742

a1 a4Isoyeta 5 2.388 4.375

Hora hp1 hp4 hp1a1 hp4a4 hp hp ajustada0 0 0 0 0 0 02 5 0 11.94 0 1.766272189 1.8621793564 10 5 23.88 21.875 6.768491124 7.1360147756 20 5 47.76 21.875 10.3010355 10.860373498 25 10 59.7 43.75 15.30325444 16.13420891

HIDROLOGIA

26

10 30 10 71.64 43.75 17.06952663 17.9963882612 40 20 95.52 87.5 27.0739645 28.544059114 50 30 119.4 131.25 37.07840237 39.0917299416 60 50 143.28 218.75 53.55473373 56.4627129118 90 50 214.92 218.75 64.15236686 67.6357890420 90 55 214.92 240.625 67.38831361 71.0474451122 90 60 214.92 262.5 70.62426036 74.4591011724 125 60 298.5 262.5 82.98816568 87.4943566626 125 71 298.5 310.625 90.10724852 9528 125 71 298.5 310.625 90.10724852 95

Fa 1.0542992

a1 a4 a5Isoyeta 6 0.002 3.861 0.497

Hora hp1 hp4 hp5 hp1a1 hp4a4 hp5a5 Hp Hp Ajustada0 0 0 0 0 0 0 0 02 5 0 5 0.01 0 2.485 0.638107417 0.772808134 10 5 10 0.02 19.305 4.97 6.213554987 7.525199786 20 5 20 0.04 19.305 9.94 7.489769821 9.070816048 25 10 30 0.05 38.61 14.91 13.70076726 16.5929184

10 30 10 50 0.06 38.61 24.85 16.2455243 19.674858612 40 20 50 0.08 77.22 24.85 26.12531969 31.640220514 50 30 65 0.1 115.83 32.305 37.91176471 45.914714516 60 50 65 0.12 193.05 32.305 57.66624041 69.839243518 90 50 80 0.18 193.05 39.76 59.58823529 72.166960220 90 55 90 0.18 212.355 44.73 65.79667519 79.685965122 90 60 110 0.18 231.66 54.67 73.27621483 88.744391424 125 60 110 0.25 231.66 54.67 73.29411765 88.766073426 125 71 120 0.25 274.131 59.64 85.42736573 103.46057928 125 71 130 0.25 274.131 64.61 86.69846547 105

Fa 1.2110941

a4 a5Isoyeta 7 1.967 1.233

Hora hp4 hp5 hp4a4 hp5a5 Hp hp ajustada0 0 0 0 0 0 02 0 5 0 6.165 1.9265625 2.3636675814 5 10 9.835 12.33 6.9265625 8.4980846626 5 20 9.835 24.66 10.7796875 13.225419828 10 30 19.67 36.99 17.70625 21.72350449

10 10 50 19.67 61.65 25.4125 31.17817481

HIDROLOGIA

27

12 20 50 39.34 61.65 31.559375 38.7196738114 30 65 59.01 80.145 43.4859375 53.3521755516 50 65 98.35 80.145 55.7796875 68.4351735518 50 80 98.35 98.64 61.559375 75.5261762920 55 90 108.185 110.97 68.4859375 84.0242609522 60 110 118.02 135.63 79.265625 97.2496807824 60 110 118.02 135.63 79.265625 97.2496807826 71 120 139.657 147.96 89.8803125 110.272664828 71 130 139.657 160.29 93.7334375 115

Fa 1.22688342

a4 a5Isoyeta 8 0.144 3.043

Hora hp4 hp5 hp4a4 hp5a5 Hp Hp Ajustada0 0 0 0 0 0 02 0 5 0 15.215 4.784591195 4.6865682314 5 10 0.72 30.43 9.795597484 9.594912946 5 20 0.72 60.86 19.36477987 18.96804948 10 30 1.44 91.29 29.16037736 28.56296234

10 10 50 1.44 152.15 48.29874214 47.3092352712 20 50 2.88 152.15 48.75157233 47.7527882214 30 65 4.32 197.795 63.5581761 62.2560458716 50 65 7.2 197.795 64.46383648 63.1431517918 50 80 7.2 243.44 78.81761006 77.2028564820 55 90 7.92 273.87 88.61320755 86.7977694222 60 110 8.64 334.73 107.9779874 105.765818824 60 110 8.64 334.73 107.9779874 105.765818826 71 120 10.224 365.16 118.045283 115.626863528 71 130 10.224 395.59 127.6144654 125

Fa 0.97951278

INCREMENTOS

Isoyeta 1

t,h Hp aj 2 hr 4 hr 6 hr 8 hr 10 hr0 0 0 0 0 0 02 0 0 0 0 0 0

45.4887921

2 5.488792117 5.488792117 0 0 0

HIDROLOGIA

28

65.4887921

2 0 5.4887921175.48879211

7 0 0

87.2774474

5 1.788655333 1.788655333 7.277447457.2774474

5 0

107.2774474

5 0 1.7886553331.78865533

37.2774474

57.2774474

5

1214.554894

9 7.27744745 7.277447459.06610278

39.0661027

814.554894

9

1418.132205

6 3.577310666 10.8547581210.8547581

212.643413

412.643413

4

1628.986963

7 10.85475812 14.4320687821.7095162

321.709516

223.498171

6

1832.687100

5 3.700136784 14.554894918.1322055

7 25.409653 25.409653

2038.175892

6 5.488792117 9.188928920.0436870

223.620997

730.898445

1

2239.964547

9 1.788655333 7.2774474510.9775842

321.832342

3 25.409653

2447.364821

5 7.400273567 9.188928914.6777210

218.377857

829.232615

9

26 55 7.635178517 15.0354520816.8241074

222.312899

526.013036

3

28 55 0 7.63517851715.0354520

816.824107

422.312899

5

Máximo 10.85475812 15.0354520821.7095162

3 25.40965330.898445

1

Isoyeta 2t,h Hp aj 2 hr 4 hr 6 hr 8 hr 10 hr0 0 0 0 0 0 02 0 0 0 0 0 0

45.0197687

7 5.019768772 5.019768772 0 0 0

65.0197687

7 0 5.0197687725.01976877

2 0 0

89.0265187

4 4.006749972 4.0067499729.02651874

49.0265187

4 0

109.0265187

4 0 4.0067499724.00674997

29.0265187

49.0265187

4

1218.053037

5 9.026518744 9.02651874413.0332687

213.033268

718.053037

5

1426.066537

4 8.013499944 17.0400186917.0400186

921.046768

721.046768

7

1643.106556

1 17.04001869 25.0535186334.0800373

834.080037

438.086787

3

1844.119574

9 1.0130188 18.0530374926.0665374

335.093056

235.093056

220 49.139343 5.019768772 6.032787571 23.0728062 31.086306 40.112824

HIDROLOGIA

29

7 6 2 9

2253.146093

7 4.006749972 9.02651874410.0395375

427.079556

235.093056

2

2455.172131

3 2.026037599 6.03278757111.0525563

412.065575

129.105593

8

26 65 9.827868738 11.8539063415.8606563

120.880425

121.893443

9

28 65 0 9.82786873811.8539063

415.860656

320.880425

1

Máximo 17.04001869 25.0535186334.0800373

835.093056

240.112824

9

Isoyeta 3t,h Hp aj 2 hr 4 hr 6 hr 8 hr 10 hr0 0 0 0 0 0 0

20.21613545

4 0.21613545 0.21613545 0 0 0

46.42476491

1 6.20862946 6.42476491 0 0 0

66.85703581

9 0.43227091 6.64090036 6.85703582 0 0

810.2448205

1 3.38778469 3.8200556 10.0286851 10.2448205 0

1011.4097351

8 1.16491468 4.55269937 4.98497027 11.1935997 11.4097352

1221.9549285

5 10.5451934 11.710108 15.0978927 15.5301636 21.7387931

1427.7817187

1 5.82679016 16.3719835 17.5368982 20.9246829 21.3569538

1643.7214313

3 15.9397126 21.7665028 32.3116961 33.4766108 36.8643955

1847.8390888

2 4.11765749 20.0573701 25.8841603 36.4293536 37.5942683

2055.2547516

5 7.41566284 11.5333203 27.4730329 33.2998231 43.8450165

2257.9520112

8 2.69725962 10.1129225 14.23058 30.1702926 35.997082724 65.5810386 7.62902732 10.3262869 17.7419498 21.8596073 37.799319926 75 9.4189614 17.0479887 19.7452483 27.1609112 31.278568728 75 0 9.4189614 17.0479887 19.7452483 27.1609112

Máximo 15.9397126 21.7665028 32.3116961 36.4293536 43.8450165

HIDROLOGIA

30

Isoyeta 4t,h Hp aj 2 hr 4 hr 6 hr 8 hr 10 hr0 0 0 0 0 0 02 1.8951748 1.8951748 1.8951748 0 0 04 6.91424911 5.01907431 6.91424911 0 0 06 10.7045987 3.7903496 8.80942391 10.7045987 0 08 14.5954845 3.89088576 7.68123536 12.7003097 14.5954845 0

10 16.6125764 2.01709195 5.90797771 9.69832731 14.7174016 16.612576412 25.6444536 9.03187721 11.0489692 14.9398549 18.7302045 23.749278814 33.304308 7.65985436 16.6917316 18.7088235 22.5997093 26.390058916 46.20569 12.901382 20.5612363 29.5931136 31.6102055 35.501091318 58.7049273 12.4992373 25.4006193 33.0604737 42.0923509 44.109442920 62.0117025 3.30677523 15.8060126 28.7073946 36.3672489 45.399126122 63.9464549 1.93475238 5.24152761 17.740765 30.6421469 38.302001324 79.5300142 15.5835593 17.5183117 20.8250869 33.3243242 46.225706226 85 5.4699858 21.0535451 22.9882975 26.2950727 38.7943128 85 0 5.4699858 21.0535451 22.9882975 26.2950727

Máximo 15.5835593 25.4006193 33.0604737 42.0923509 46.2257062


21.8621793

6 1.862179356 1.862179356 0 0 0

47.1360147

8 5.27383542 7.136014775 0 0 0

610.860373

5 3.724358711 8.99819413110.8603734

9 0 0

816.134208

9 5.27383542 8.99819413114.2720295

516.134208

9 0

1017.996388

3 1.862179356 7.13601477510.8603734

916.134208

917.996388

3

1228.544059

1 10.54767084 12.4098501917.6836856

121.408044

326.681879

7

1439.091729

9 10.54767084 21.0953416822.9575210

328.231356

531.955715

2

1656.462712

9 17.37098297 27.9186538138.4663246

5 40.32850445.602339

4

18 67.635789 11.17307613 28.544059139.0917299

449.639400

851.501580

1

2071.047445

1 3.411656064 14.584732231.9557151

7 42.50338653.051056

8

HIDROLOGIA

31

2274.459101

2 3.411656064 6.82331212817.9963882

635.367371

245.915042

1

2487.494356

7 13.03525549 16.4469115519.8585676

231.031643

848.402626

7

26 95 7.505643341 20.5408988323.9525548

9 27.36421138.537287

1

28 95 0 7.50564334120.5408988

323.952554

9 27.364211

Máximo 17.37098297 28.544059139.0917299

449.639400

853.051056

8


2 0.772808128 0.7728081280.77280812

8 0 0 0

4 7.525199784 6.7523916567.52519978

4 0 0 0

6 9.070816039 1.5456162558.29800791

2 9.07081604 0 0

8 16.5929184 7.5221023579.06771861

2 15.8201103 16.5929184 0

10 19.67485862 3.08194022910.6040425

9 12.1496588 18.9020505 19.6748586

12 31.64022054 11.9653619115.0473021

4 22.5694045 24.1150208 30.8674124

14 45.91471455 14.2744940126.2398559

3 29.3217962 36.8438985 38.3895148

16 69.83924352 23.9245289738.1990229

8 50.1643849 53.2463251 60.7684275

18 72.16696018 2.32771666526.2522456

3 40.5267396 52.4921016 55.5740418

20 79.68596511 7.5190049299.84672159

4 33.7712506 48.0457446 60.0111065

22 88.74439144 9.0584263316.5774312

6 18.9051479 42.8296769 57.1041709

24 88.76607344 0.0216819929.08010832

1 16.5991133 18.9268299 42.8513589

26 103.4605786 14.6945051614.7161871

6 23.7746135 31.2936184 33.6213351

28 105 1.53942140116.2339265

6 16.2556086 25.3140349 32.8330398

Máximo 23.9245289738.1990229

8 50.1643849 53.2463251 60.7684275

HIDROLOGIA

32


22.3636675

8 2.363667581 2.363667581 0 0 0

48.4980846

6 6.13441708 8.498084662 0 0 0

613.225419

8 4.727335163 10.8617522413.2254198

2 0 0

821.723504

5 8.498084662 13.22541982 19.359836921.723504

5 0

1031.178174

8 9.454670325 17.9527549922.6800901

528.814507

231.178174

8

1238.719673

8 7.541498998 16.9961693225.4942539

830.221589

136.356006

2

1453.352175

6 14.63250174 22.1740007431.6286710

740.126755

744.854090

9

1668.435173

5 15.082998 29.7154997437.2569987

446.711669

155.209753

7

1875.526176

3 7.091002744 22.1740007436.8065024

844.348001

553.802671

8

20 84.024261 8.498084662 15.58908741 30.672085445.304587

152.846086

1

2297.249680

8 13.22541982 21.7235044928.8145072

343.897505

2 58.530007

2497.249680

8 0 13.2254198221.7235044

928.814507

243.897505

2

26110.27266

5 13.02298406 13.0229840626.2484038

834.746488

541.837491

3

28 115 4.727335163 17.7503192217.7503192

2 30.97573939.473823

7

Máximo 15.082998 29.7154997437.2569987

446.711669

1 58.530007


24.6865682

3 4.686568231 4.686568231 0 0 0

49.5949129

4 4.90834471 9.59491294 0 0 0

618.968049

4 9.373136462 14.28148117 18.9680494 0 0

828.562962

3 9.59491294 18.968049423.8763941

128.562962

3 0

HIDROLOGIA

33

1047.309235

3 18.74627292 28.3411858637.7143223

3 42.62266747.309235

3

1247.752788

2 0.443552958 19.1898258828.7847388

238.157875

3 43.06622

1462.256045

9 14.50325765 14.9468106133.6930835

343.287996

552.661132

9

1663.143151

8 0.887105916 15.3903635715.8339165

234.580189

444.175102

4

1877.202856

5 14.05970469 14.9468106129.4500682

629.893621

248.639894

1

2086.797769

4 9.59491294 23.6546176324.5417235

539.044981

239.488534

2

22105.76581

9 18.9680494 28.5629623442.6226670

3 43.50977358.013030

6

24105.76581

9 0 18.968049428.5629623

4 42.622667 43.509773

26115.62686

4 9.861044715 9.86104471528.8290941

238.424007

152.483711

7

28 125 9.373136462 19.2341811819.2341811

838.202230

647.797143

5

Máximo 18.9680494 28.5629623442.6226670

3 43.50977358.013030

6

RESUMEN DE DATOS

Área 2 hr 4 hr 6 hr 8 hr 10 hr

3188025.9518.968049

4 28.56296234 42.6226670343.5097729

558.013030

6

3202256.17 15.082998 29.71549974 37.2569987446.7116690

6 58.530007

3913685.62 23.924529 38.19902298 50.164384953.2463251

260.768427

5

6763345 17.370983 28.5440591 39.0917299449.6394007

853.051056

8

7154011.310.854758

1 15.03545208 21.7095162325.4096530

230.898445

1

11042909.415.583559

3 25.40061933 33.06047369 42.092350946.225706

2

11539364.715.939712

6 21.76650277 32.3116961436.4293536

343.845016

5

22150960.217.040018

7 25.05351863 34.0800373835.0930561

840.112824

9

GRAFICA DE LOS INCREMENTOS

HIDROLOGIA

34

Las curvas hp a d sirven para determinar el potencial de precipitación que existe en una zona dada, trata de establecer las cantidades máximas de precipitación que se producen en diferentes áreas y para diferentes duraciones, con base en una red de estaciones que registran simultáneamente la precipitación durante una tormenta dada.

CURVAS I D T

Estaciones hidrometeorológicas:

HIDROLOGIA

35

Curvas I D TDuraciones (min) Estación LAS MINAS (CFE), LAS MINAS

año 5 10 20 60 1201981 8 21 29 36 441982 10 12 21 27 291983 6 9 15 21 251984 4 6 12 19 281985 11 16 22 32 371986 9 14 18 25 331987 16 18 25 30 381988 5 7 13 18 241989 8 10 14 16 271990 12 17 23 31 341991 20 22 29 34 381992 15 20 26 33 36

Conversación de minutos a intensidades

Intensidades mm/hraño 5 10 20 60 120

1981 96 126 87 36 221982 120 72 63 27 14.51983 72 54 45 21 12.5

HIDROLOGIA

36

1984 48 36 36 19 141985 132 96 66 32 18.51986 108 84 54 25 16.51987 192 108 75 30 191988 60 42 39 18 121989 96 60 42 16 13.51990 144 102 69 31 171991 240 132 87 34 191992 180 120 78 33 18

Ordenamiento de intensidades

Intensidades mm/hraño 5 10 20 60 120

1981 240 132 87 36 221982 192 126 87 34 191983 180 120 78 33 191984 144 108 75 32 18.51985 132 102 69 31 181986 120 96 66 30 171987 108 84 63 27 16.51988 96 72 54 25 14.51989 96 60 45 21 141990 72 54 42 19 13.51991 60 42 39 18 12.51992 48 36 36 16 12

Método de Weibull

Intensidades ordenadas y WeibullIntensidades mm/hr

Orden T 5 10 20 60 1201 13 240 132 87 36 222 7 192 126 87 34 193 5 180 120 78 33 19

HIDROLOGIA

37

4 4 144 108 75 32 18.55 3.4 132 102 69 31 186 3 120 96 66 30 177 2.714285714 108 84 63 27 16.58 2.5 96 72 54 25 14.59 2.333333333 96 60 45 21 14

10 2.2 72 54 42 19 13.511 2.090909091 60 42 39 18 12.512 2 48 36 36 16 12

Valores Σ y x1 x2 x1² x2² x1x2 x1y x2y 2.380211242 3.49415459 0.69897 12.2091163 0.48855907 2.44230925 8.31682604 1.66369626 2.283301229 3.12839927 0.69897 9.78688198 0.48855907 2.18665725 7.14307789 1.59595907 2.255272505 2.95424251 0.69897 8.7275488 0.48855907 2.0649269 6.6626219 1.57636783 2.158362492 2.76042248 0.69897 7.61993229 0.48855907 1.92945252 5.95799235 1.50863064 2.120573931 2.65205285 0.69897 7.03338431 0.48855907 1.85370539 5.62387413 1.48221757 2.079181246 2.5563025 0.69897 6.53468248 0.48855907 1.78677877 5.31501622 1.45328532 2.033423755 2.46707932 0.69897 6.08648035 0.48855907 1.72441444 5.01661769 1.42130221 1.982271233 2.38021124 0.69897 5.66540556 0.48855907 1.66369626 4.71822427 1.38554813 1.982271233 2.35024802 0.69897 5.52366575 0.48855907 1.64275287 4.65882904 1.38554813 1.857332496 2.19975518 0.69897 4.83892284 0.48855907 1.53756289 4.08567677 1.2982197 1.77815125 2.0984864 0.69897 4.40364518 0.48855907 1.46677905 3.73142622 1.24287439 1.681241237 1.98227123 0.69897 3.92939924 0.48855907 1.38554813 3.33267614 1.17513719 2.120573931 3.23451728 1.3222193 10.4621021 1.74826386 4.27674116 6.85903303 2.80386377 2.100370545 2.94546859 1.3222193 8.67578519 1.74826386 3.8945554 6.18657546 2.77715046 2.079181246 2.77815125 1.3222193 7.71812437 1.74826386 3.67332519 5.77627998 2.74913356 2.033423755 2.63548375 1.3222193 6.94577458 1.74826386 3.48468746 5.35905526 2.68863212 2.008600172 2.54007909 1.3222193 6.45200178 1.74826386 3.35854158 5.10200329 2.6558099 1.982271233 2.45939249 1.3222193 6.04861141 1.74826386 3.2518562 4.87518298 2.62099727 1.924279286 2.35793485 1.3222193 5.55985674 1.74826386 3.11770695 4.53732518 2.5443192 1.857332496 2.25527251 1.3222193 5.08625407 1.74826386 2.98196482 4.18879091 2.45580086 1.77815125 2.14612804 1.3222193 4.60586555 1.74826386 2.8376519 3.81614025 2.35110589 1.73239376 2.07481644 1.3222193 4.30486326 1.74826386 2.74336233 3.59439905 2.29060446 1.62324929 1.94358444 1.3222193 3.77752048 1.74826386 2.56984485 3.15492207 2.14629153

HIDROLOGIA

38

1.556302501 1.8573325 1.3222193 3.449684 1.74826386 2.45580086 2.89057121 2.05777319 1.939519253 3.0534626 1.462398 9.32363388 2.1386079 4.4653776 5.92224951 2.83634907 1.939519253 2.78461729 1.462398 7.75409347 2.1386079 4.07221875 5.40081885 2.83634907 1.892094603 2.59106461 1.462398 6.7136158 2.1386079 3.78916769 4.90253936 2.76699536 1.875061263 2.47712125 1.462398 6.13612971 2.1386079 3.62253716 4.64475411 2.74208584 1.838849091 2.37032801 1.462398 5.61845486 2.1386079 3.46636293 4.3586755 2.68912923 1.819543936 2.29666519 1.462398 5.274671 2.1386079 3.35863858 4.17888322 2.66089741 1.799340549 2.23299611 1.462398 4.98627163 2.1386079 3.26552904 4.01792045 2.63135202 1.73239376 2.13033377 1.462398 4.53832197 2.1386079 3.11539584 3.69057693 2.53344917 1.653212514 2.0211893 1.462398 4.08520618 2.1386079 2.95578318 3.34145544 2.41765467 1.62324929 1.96567197 1.462398 3.8638663 2.1386079 2.87459476 3.19077563 2.37383651 1.591064607 1.91139976 1.462398 3.65344903 2.1386079 2.79522718 3.0411605 2.3267697 1.556302501 1.8573325 1.462398 3.449684 2.1386079 2.71615932 2.89057121 2.27593366

1.556302501 2.67024585 1.5563025 7.13021292 2.42207747 4.1557103 4.1557103 2.42207747 1.531478917 2.37657696 1.5563025 5.64811803 2.42207747 3.69867266 3.6396775 2.38344447 1.51851394 2.21748394 1.5563025 4.91723504 2.42207747 3.45107581 3.36728028 2.36326704 1.505149978 2.10720997 1.5563025 4.44033386 2.42207747 3.27945615 3.17166704 2.34246868 1.491361694 2.02284061 1.5563025 4.09188414 2.42207747 3.1481519 3.016787 2.32100993 1.477121255 1.95424251 1.5563025 3.81906379 2.42207747 3.0413925 2.88665315 2.2988475 1.431363764 1.86501933 1.5563025 3.47829708 2.42207747 2.90253424 2.66952108 2.22763501 1.397940009 1.79588002 1.5563025 3.22518504 2.42207747 2.79493256 2.51053253 2.17561753 1.322219295 1.69019608 1.5563025 2.85676279 2.42207747 2.63045639 2.23480987 2.05777319 1.278753601 1.62117628 1.5563025 2.62821254 2.42207747 2.5230407 2.07308501 1.99012743 1.255272505 1.57560766 1.5563025 2.48253949 2.42207747 2.45212214 1.97781697 1.95358374 1.204119983 1.50514998 1.5563025 2.26547646 2.42207747 2.34246868 1.81238117 1.87397494 1.342422681 2.45636603 1.6434527 6.03373409 2.7009367 4.03692133 3.29748148 2.20620815 1.278753601 2.12385164 1.6434527 4.51074579 2.7009367 3.49044966 2.71588293 2.10157103 1.278753601 1.97772361 1.6434527 3.91139066 2.7009367 3.25029515 2.52902118 2.10157103 1.267171728 1.86923172 1.6434527 3.49402722 2.7009367 3.07199387 2.36863759 2.08253677 1.255272505 1.78675142 1.6434527 3.19248064 2.7009367 2.93644141 2.24285993 2.06298096 1.230448921 1.70757018 1.6434527 2.91579591 2.7009367 2.80631078 2.10107788 2.02218457 1.217483944 1.65113951 1.6434527 2.72626167 2.7009367 2.71356964 2.01023584 2.00087725 1.161368002 1.55930801 1.6434527 2.43144147 2.7009367 2.56264892 1.81093043 1.90865335 1.146128036 1.51410482 1.6434527 2.29251341 2.7009367 2.48835962 1.73535798 1.88360719 1.130333768 1.47275645 1.6434527 2.16901156 2.7009367 2.42040553 1.66470635 1.85765006 1.096910013 1.41724516 1.6434527 2.00858385 2.7009367 2.32917536 1.55459041 1.8027197 1.079181246 1.38021124 1.6434527 1.90498307 2.7009367 2.26831186 1.48949809 1.77358331Σ 100.1016994 132.261858 80.20011 305.417197 113.98134 171.622512 229.51972 128.635041

HIDROLOGIA

39

Incógnitas

a0 0.786002521a1 0.569235028a2 -0.28162412

K 6.109455717m 0.569235028n 0.281624124

IntensidadPERIODO DE RETORNO

DURACIÓN 5 10 20 50 1001 15.271466 22.6588335 33.6197413 56.6390237 84.037394

59.7058576

1 14.4009364 21.3671969 35.9972184 53.410391510 7.9846633 11.8471374 17.5780317 29.6136292 43.9388264

206.5686980

5 9.74621789 14.4608205 24.3620778 36.1469072

505.0746932

1 7.52950819 11.1718071 18.8210921 27.9255437

1004.1747693

2 6.19425815 9.19064771 15.483442 22.97335200 3.434434 5.09579552 7.56081846 12.7376761 18.8993566

5002.6532957

9 3.93679215 5.84116271 9.84057999 14.600829

10002.1827719

3 3.23865866 4.80531648 8.09549459 12.0115818

HIDROLOGIA

40

1 10 1001

10

100

1000

5102050100

HIDROLOGIA

Trabajo Final(3)

Documents

Transcript of Trabajo Final(3)