Curva Intensidad Duracion Frecuencia Rio La Vega

CURVA INTENSIDAD DURACION FRECUENCIA RIO LA VEGA

DIEGO ANDRES HERNANDEZ

CODIGO: 200712950

TRABAJO PRESENTADO A ING. JULIAN VILLATE

EN EL ÁREA DE MODELACION HIDRAULICA

UNIVERSIDAD PEDAGÓGICA Y TECNOLÓGICA DE COLOMBIA

FACULTAD DE INGENIERÍA

ESCUELA DE INGENIERÍA CIVIL

TUNJA

2012

CUENCA RIO LA VEGA

Tabla de precipitaciones cuenca rio la Vega

Año HP1 (mm) HP2 (mm) HP3 (mm) HP4 (mm) PROMEDIO (mm)

1962 665.5 66.551963 539.6 53.961964 507.1 50.711965 578.7 57.871966 589 58.91967 705.6 70.561968 598.4 59.841969 562.3 56.231970 486.9 48.691971 726.3 72.631972 623.2 62.321973 801.5 80.151974 652.5 65.251975 705.8 70.581976 723 72.31977 507.4 50.741978 636.7 63.671979 869.4 86.941980 530.8 1116.2 82.351981 764.9 745.2 75.5051982 617.6 776.9 69.7251983 458.5 801.8 63.0151984 772.7 1681.4 122.7051985 662.1 756.6 70.9351986 753.2 1052.8 90.31987 588.9 781.9 68.541988 694.6 849.1 77.1851989 621.5 597.7 60.961990 617.8 681.7 64.9751991 523.8 736 593.3 415.6 56.71751992 509.4 496.2 500 467.4 49.3251993 622.3 689.7 674.3 555.6 63.54751994 747.6 969 754.3 635.9 77.671995 613.1 646.9 816.5 562.2 65.96751996 644 703.1 776.2 606.6 68.24751997 418.8 446.8 435.7 312.3 40.341998 710.2 610.6 796.1 649.3 69.1551999 716.3 908.1 828.1 360.5 70.3252000 633.2 872.2 961.3 654.3 78.025Total 63.3338462 80.5709524 71.358 52.197 67.5232051

Precipitación máxima anual (horas)

PRECIPITACION MAXIMA ANNUAL HISTORICA EN 24 HORAS

AÑO PRECIPITACION (mm)

1962 66.551963 53.961964 50.711965 57.871966 58.91967 70.561968 59.841969 56.231970 48.691971 72.631972 62.321973 80.151974 65.251975 70.581976 72.31977 50.741978 63.671979 86.941980 82.351981 75.5051982 69.7251983 63.0151984 122.7051985 70.9351986 90.31987 68.541988 77.1851989 60.961990 64.9751991 56.71751992 49.3251993 63.54751994 77.671995 65.96751996 68.24751997 40.341998 69.1551999 70.325

2000 78.025

NUMERO DE DATOS 38MEDIA 64.9838314

DESVIACION TIPICA 14.1109915

Calculo de las curvas intensidad duración frecuencia

Valores de los coeficientes a, b, c, d para el cálculo de

las curvas intensidad duración frecuencia

Región Andina

a 0.94b 0.18c 0.66d 0.83

Cuenca rio la vega

Área (Km2) 105.36Longitud (Km) 18.642

CURVA INTENSIDAD-DURACION-FRECUENCIA (Valores en mm/h)tiempo (min Periodo de retorno

2 5 10 20 50 100

0 0 0 0 0 0 0

10 111.050748 130.963626 148.366581 168.082109 198.221469 224.56190820 70.2816083 82.8840364 93.8979892 106.375519 125.450066 142.12035830 53.780082 63.4235668 71.8515367 81.3994481 95.9954529 108.75170240 44.4797046 52.4555078 59.4259995 67.3227572 79.3946239 89.9448950 38.3885126 45.272084 51.2880145 58.1033651 68.522072 77.627551260 34.0362467 40.1393989 45.4732782 51.5159441 60.7534387 68.8265917

70 30.7437459 36.2565089 41.0744146 46.5325424 54.8764468 62.168642380 28.1502397 33.1979524 37.6094254 42.6071119 50.2471344 56.924168890 26.0448243 30.7150081 34.7965377 39.4204368 46.489046 52.666691

100 24.2952565 28.6517194 32.4590712 36.7723587 43.3661323 49.1287924110 22.8140462 26.9049084 30.4801372 34.5304562 40.7222267 46.1335544120 21.5408019 25.4033544 28.7790509 32.603323 38.4495328 43.5588562130 20.4323762 24.0961733 27.2981664 30.9256528 36.4710341 41.3174468140 19.4570495 22.9459576 25.9951056 29.4494362 34.7301122 39.3451844150 18.5909361 21.9245384 24.8379563 28.1385204 33.1841317 37.5937681160 17.8156757 21.0102636 23.8021891 26.9651164 31.8003208 36.026071170 17.1169034 20.1861921 22.8686117 25.9074817 30.5530381 34.6130445180 16.4832041 19.438862 22.0219735 24.9483389 29.4219082 33.3316057

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 1900

50

100

150

200

250

CURVA INTENSIDAD-DURACION-FRECUENCIA (Valores en mm/h)

T= 2 añosT= 5 añosT= 10 añosT= 20 añosT= 50 añosT= 100 años

Tiempo (min)

Inte

nsid

ad (m

m/h

)

CURVA INTENSIDAD-DURACION-FRECUENCIA (Valores en mm)

tiempo (min Periodo de retorno

2 5 10 20 50 100

10 18.508458 21.827271 24.7277635 28.0136848 33.0369115 37.426984620 23.4272028 27.6280121 31.2993297 35.4585063 41.8166885 47.373452630 26.890041 31.7117834 35.9257684 40.699724 47.9977264 54.375850840 29.6531364 34.9703385 39.617333 44.8818381 52.9297493 59.9632650 31.9904272 37.7267367 42.740012 48.4194709 57.1017267 64.68962660 34.0362467 40.1393989 45.4732782 51.5159441 60.7534387 68.826591770 35.8677035 42.2992603 47.9201504 54.2879662 64.0225213 72.530082780 37.5336529 44.2639366 50.1459005 56.8094826 66.9961791 75.898891790 39.0672365 46.0725121 52.1948065 59.1306552 69.7335689 79.0000365

100 40.4920942 47.7528657 54.0984521 61.2872646 72.2768871 81.8813207110 41.8257513 49.3256654 55.8802515 63.3058364 74.6574157 84.5781832120 43.0816037 50.8067089 57.5581017 65.2066459 76.8990657 87.1177123130 44.2701484 52.2083754 59.1460272 67.0055811 79.0205739 89.5211347140 45.3997823 53.5405677 60.6552463 68.7153511 81.0369285 91.8054304150 46.4773402 54.8113461 62.0948907 70.346301 82.9603294 93.9844203160 47.5084687 56.0273696 63.4725042 71.9069771 84.8008555 96.0695227170 48.497893 57.1942109 64.7943999 73.4045315 86.5669413 98.0702928180 49.4496122 58.316586 66.0659205 74.8450167 88.2657247 99.9948171

INCREMENTOS DE LLUVIAS PUNTUALES EN INCREMENTOS DE PRECIPITACION AREA DE INFLUENCIA (Valores en mm)

tiempo (min Periodo de retorno

2 5 10 20 50 100

0 a 10 18.508458 21.827271 24.7277635 28.0136848 33.0369115 37.426984610 a 20 4.91874476 5.80074118 6.57156621 7.44482146 8.77977707 9.9464679620 a 30 3.46283824 4.08377124 4.62643863 5.24121777 6.1810379 7.0023982330 a 40 2.76309537 3.25855516 3.69156463 4.18211408 4.93202282 5.5874091740 a 50 2.3372908 2.75639816 3.12267906 3.53763278 4.17197744 4.7263660150 a 60 2.04581954 2.41266222 2.73326615 3.09647318 3.65171204 4.1369657360 a 70 1.83145683 2.15986142 2.4468722 2.77202208 3.26908254 3.7034909370 a 80 1.66594936 1.96467626 2.22575008 2.5215164 2.97365786 3.3688090780 a 90 1.53358355 1.8085755 2.04890604 2.32117264 2.73738979 3.1011447990 a 100 1.42485769 1.68035364 1.90364556 2.15660938 2.54331816 2.88128416

100 a 110 1.33365717 1.57279965 1.78179938 2.0185718 2.3805286 2.69686249110 a 120 1.25585241 1.48104346 1.67785027 1.90080954 2.24164999 2.53952915120 a 130 1.18854467 1.40166656 1.58792546 1.79893516 2.12150819 2.40342244130 a 140 1.12963388 1.33219227 1.50921916 1.70977006 2.0163546 2.28429563140 a 150 1.07755789 1.27077837 1.43964434 1.63094987 1.9234009 2.17898988150 a 160 1.0311285 1.21602356 1.3776135 1.56067613 1.84052614 2.08510241160 a 170 0.98942436 1.16684132 1.32189573 1.49755437 1.76608581 2.00077015170 a 180 0.95171913 1.12237504 1.2715206 1.4404852 1.69878337 1.92452431TOTAL 49.4496122 58.316586 66.0659205 74.8450167 88.2657247 99.9948171

Calculo del número de curva para la cuenca del rio la vega

CALCULO DEL NUMERO DE CURVA

DESCRIPCIONTIPO DE SUELO

AREA Ai (Km2) CN

Ai*N (km2)

BOSQUES

Condición regular (Bajo potencial de escorrentía) A 7.8 36 280.8Condición regular (Moderadamente bajo potencial de

escorrentía) B 2.93 60 175.8Condición buena (Moderadamente alto potencial de escorrentía) C 12.3 70 861

Condición buena (Alto potencial de escorrentía) D 4.04 76 307.04


AREA Ai (Km2) CN

Ai*N (km2)

CULTIVOS

Leguminosas en hileras estrechas o en forraje en rotación

Curvas de nivel (Mala) A 20.05 64 1283.2Cultivos en hileras rectas (Mala) B 13.68 76 1039.68Cultivos en hileras rectas (Mala) C 3.57 84 299.88Cultivos en hileras rectas (Mala) D 13.13 88 1155.44


AREA Ai (Km2) CN

Ai*N (km2)

EROSION

A 6.8 72 489.6D 0.59 89 52.51


AREA Ai (Km2) CN

Ai*N (km2)

PASTIZALES

Pastos forraje para pastoreo

Regular A 0.3 49 14.7Regular B 2.23 69 153.87Regular C 1.13 79 89.27


AREA Ai (Km2) CN

Ai*N (km2)

ZONA URBANA

Calles y caminos

Pavimentados, zanjas abiertas incluyendo ancho de vía C 1.13 79 89.27Total 89.68 6292.06

Numero de curva CN 70.16

Tiempo de concentración

TIEMPO DE CONCENTRACION

Cuenca rio la vega

Área (Km2) 105.36 Tc (Horas) 3.53112052Longitud (Km) 18.642 Tc (minutos) 211.867231Pendiente 27.94

Calculo de hietogramas de diseño

Calculo hietograma de diseño (Pr 10 años)

Duración (min)

I (mm/

h)

Profundidad acum (mm)

Profundidad incremental (mm)

Tiempo (min)

Precipitación (mm)

Precipitación acumulada (mm)

10 148.367 24.728 24.728 0 -10 6.572 6.572

20 93.898 31.299 6.572 10--20 10.263 16.835

30 71.852 35.926 29.354 20-30 15.222 25.485

40 59.426 39.617 10.263 30-40 18.804 34.026

50 51.288 42.740 32.477 40-50 21.690 40.494

60 45.473 45.473 12.996 50-60 24.728 46.418

70 41.074 47.920 34.924 60-70 32.477 57.205

80 37.609 50.146 15.222 70-80 36.973 69.450

90 34.797 52.195 36.973 80-90 40.342 77.315

100 32.459 54.098 17.126 90-100 43.104 83.446

110 30.480 55.880 38.754 100-110 41.782 84.886

120 28.779 57.558 18.804 110-120 38.754 80.536

130 27.298 59.146 40.342 120-130 34.924 73.678

140 25.995 60.655 20.313 130-140 29.354 64.278

150 24.838 62.095 41.782 140-150 22.962 52.316

160 23.802 63.473 21.690 150-160 20.313 43.275

170 22.869 64.794 43.104 160-170 17.126 37.439

180 22.022 66.066 22.962 170-180 12.996 30.122

10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 1800.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

90.000

Hietograma de diseño 10 años

Tiempo (min)

Prce

pita

cion

(mm

)


Duración (min)

I (mm/h

)



Tiempo (min)

Precipitación (mm)


10 168.08 28.01 28.01 0 -10 7.445 7.445

20 106.38 35.46 7.44 10--20 11.627 19.072

30 81.40 40.70 33.25 20-30 17.245 28.87240 67.32 44.88 11.63 30-40 21.302 38.54750 58.10 48.42 36.79 40-50 24.573 45.87560 51.52 51.52 14.72 50-60 28.014 52.58670 46.53 54.29 39.56 60-70 36.793 64.80680 42.61 56.81 17.24 70-80 41.886 78.67890 39.42 59.13 41.89 80-90 45.703 87.589

100 36.77 61.29 19.40 90-100 48.832 94.535110 34.53 63.31 43.90 100-110 47.334 96.166120 32.60 65.21 21.30 110-120 43.904 91.238130 30.93 67.01 45.70 120-130 39.565 83.469140 29.45 68.72 23.01 130-140 33.255 72.819150 28.14 70.35 47.33 140-150 26.013 59.268160 26.97 71.91 24.57 150-160 23.012 49.025170 25.91 73.40 48.83 160-170 19.402 42.414180 0.00 74.85 26.01 170-180 14.723 34.125

10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 1800.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

90.000

100.000


Tiempo (min)

Prce

pita

cion

(mm

)


Duración (min)

I (mm/h

)



Tiempo (min)

Precipitación (mm)


10 198.22 33.037 33.037 0 -10 8.780 8.78020 125.45 41.817 8.780 10--20 13.712 22.49230 95.995 47.998 39.218 20-30 20.337 34.04940 79.395 52.930 13.712 30-40 25.122 45.45950 68.522 57.102 43.390 40-50 28.979 54.10160 60.753 60.753 17.364 50-60 33.037 62.01670 54.876 64.023 46.659 60-70 43.390 76.42780 50.247 66.996 20.337 70-80 49.396 92.78690 46.489 69.734 49.396 80-90 53.898 103.295

100 43.366 72.277 22.880 90-100 57.588 111.486110 40.722 74.657 51.777 100-110 55.822 113.410120 38.450 76.899 25.122 110-120 51.777 107.599130 36.471 79.021 53.898 120-130 46.659 98.436140 34.730 81.037 27.138 130-140 39.218 85.877150 33.184 82.960 55.822 140-150 30.678 69.896160 31.800 84.801 28.979 150-160 27.138 57.816170 30.553 86.567 57.588 160-170 22.880 50.019180 29.422 88.266 30.678 170-180 17.364 40.244

10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 1800.000

20.000

40.000

60.000

80.000

100.000

120.000


Tiempo (min)

Prce

pita

cion

(mm

)


Duración (min)

I (mm/h)



Tiempo (min)

Precipitación (mm)


10 224.562 37.427 37.427 0 -10 9.946 9.946

20 142.120 47.373 9.946 10--20 15.534 25.480

30 108.752 54.376 44.429 20-30 23.040 38.574

40 89.945 59.963 15.534 30-40 28.460 51.50050 77.628 64.690 49.156 40-50 32.830 61.29060 68.827 68.827 19.671 50-60 37.427 70.25770 62.169 72.530 52.859 60-70 49.156 86.58380 56.924 75.899 23.040 70-80 55.960 105.11690 52.667 79.000 55.960 80-90 61.061 117.021

100 49.129 81.881 25.921 90-100 65.240 126.301110 46.134 84.578 58.657 100-110 63.240 128.480120 43.559 87.118 28.460 110-120 58.657 121.897130 41.317 89.521 61.061 120-130 52.859 111.516140 39.345 91.805 30.745 130-140 44.429 97.289150 37.594 93.984 63.240 140-150 34.754 79.184160 36.026 96.070 32.830 150-160 30.745 65.499170 34.613 98.070 65.240 160-170 25.921 56.666180 33.332 99.995 34.754 170-180 19.671 45.592

10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 1800.000

20.000

40.000

60.000

80.000

100.000

120.000

140.000


Tiempo (min)

Prce

pita

cion

(mm

)

Curva Intensidad Duracion Frecuencia Rio La Vega

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