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UNIVERSIDAD NACIONAL PEDRO RUIZ GALLOFACULTAD DE INGENIERIA CIVIL, SISTEMAS Y ARQUITECTURA

ESCUELA PROFESIONAL DE INGENIERIA CIVIL

Hidrología

1

OBJETIVOS

1. Calcular las intensidades de precipitación, mediante los métodos SCS (Soil

Conservation Service) y Frederick Bell. Para las distribuciones Gumbel y Log-

Normal de dos parámetros.

2. Esbozar las gráficas I – Dt – TR ; mediante los dos métodos.


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Hidrología

2

MARCO TEÓRICO

En los estudios hidrológicos para proyectos de “irrigación”, es importante determinar la

“máxima avenida” que puede ocurrir en un lugar con una frecuencia probable.

CRECIENTE

Se define como un caudal del rio sumamente alto en comparación con los caudales

observados habitualmente.

CRECIENTE MÁXIMA PROBABLE

Es la mayor creciente que puede producirse en una cuenca hidrográfica, como resultado de

la combinación más extrema y más desventajosa de todos los factores meteorológicos e

hidrológicos que la causan.

CRECIENTE DE DISEÑO

Usualmente es elegida en función de su periodo de retorno, o como un % de la creciente

máxima probable.

TIEMPO DE CONCENTRACIÓN (TC)

Es el tiempo que demora en llegar a la estación de aforo una gota de agua caída en el punto

más alejado de la cuenca. Una vez transcurrido este tiempo, el caudal será máximo siempre

que la intensidad de la lluvia permanezca constante en el tiempo y en el espacio; puesto quetoda la cuenca va contribuyendo simultáneamente a la formación del caudal.

Formula de P. A. Kirpich

1/2

0.0256

/

/

cT k

S H L

k L S

Dónde:

Tc : minutos L : metros H : metros

H : Diferencia de altura entre el punto más remoto y el punto de desague.


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Hidrología

3

Fórmula para diseño de alcantarillas en E.E.U.U

0.3853

0.871c

LT

H

Dónde:

Tc : horas L : kilómetros H : metros

Formula de Rowe

0.3853

0.86

c

LT

H

Dónde:

Tc : horas L : kilómetros H : metros

INTENSIDAD DE PRECIPITACIÓN (I)

Es la máxima precipitación caída en el menor tiempo, se mide en mm/h

Método SCS (Soil Conservation Service)

Nota: OMM, sugiere:

Método Frederick Bell


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Hidrología

4

CÁLCULOS Y RESULTADOS

Para todos los casos se trabajara con los datos obtenidos mediante la

distribución Gumbel.

PRECIPITACION MAXIMA 24 H – ESTACION COLASAY

ESTACION: COLASAY LAT : 05º58’00” DPTO : CAJAMARCA

LONG : 79º4’00” PROV : JAEN

CATEGORIA: “PLU” ALT : 1150 msnm DIST: COLASAY

COLASAY

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Sep. Oct. Nov. Dic. Pmax. 24hrs.Anual (mm)

1987 54.7 15.8 10.0 87.6 3.9 0.3 6.2 3.1 0.0 5.3 10.8 3.3 87.6

1988 8.4 46.2 19.7 18.9 20.8 1.9 23.0 10.7 25.8 18.2 48.7 37.9 48.7

1989 58.9 30.6 52.8 20.5 74.3 8.5 1.9 5.9 38.6 30.0 6.8 4.3 74.3

1990 45.7 18.9 27.4 3.1 2.3 4.0 2.2 0.0 15.8 5.1 3.3 45.7

1991 15.7 5.5 17.8 17.9 20.8 6.5 0.2 2.1 12.1 18.3 37.5 19.2 37.5

1992 16.6 18.0 40.2 26.8 16.2 3.5 4.9 7.1 4.8 34.8 35.0 18.4 40.2

1993 28.5 33 59.1 14.1 13.5 9.2 6.4 9.5 26.8 24.4 25.3 65.1 65.1

1994 15.9 24.4 55.5 32.7 12.5 7.0 6.3 0.5 4.5 12.0 10.6 13.3 55.5

1995 7.9 12.1 39.2 6.8 21.0 4.3 8.5 2.6 3.9 6.5 54.8 71.1 71.11996 19.0 25.3 56.6 30.0 51.8 11.5 0.8 9.3 21.5 33.4 58.8 17.4 58.8

1997 33.7 29 13.4 14.7 6 16 3.8 1.9 7.3 33.3 45.4 15 45.4

1998 15.9 26.2 42.9 35 42.4 6.8 4.7 13.8 26.2 27.2 40.1 17.4 42.9

DistribuciónTR AÑOS

5 10 25 50 100

NORMAL 69.22 mm 76.10 mm 83.44 mm 88.18 mm 92.44 mm

GUMBEL 67.31 mm 76.46 mm 88.01 mm 96.59 mm 105.10 mmLOG

NOMAL 2P67.97 mm 76.51 mm 86.81 mm 94.18 mm 101.35 mm


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Hidrología

5

Método SCS (Soil Conservation Service) - INTENSIDADES

TR (AÑOS)

5 10 25 50 1005 0.08333 93.76492 106.51115 122.60066 134.55287 146.40756

10 0.16667 61.86178 70.27116 80.88627 88.77179 96.59297

20 0.33333 40.81355 46.36167 53.36504 58.56754 63.72759

30 0.50000 31.99997 36.34999 41.84100 45.92004 49.96579

40 0.66667 26.92690 30.58730 35.20779 38.64016 42.04453

50 0.83333 23.55268 26.75439 30.79589 33.79815 36.77592

60 1.00000 21.11211 23.98205 27.60477 30.29592 32.96513

70 1.16667 19.24702 21.86343 25.16610 27.61952 30.05292

80 1.33333 17.76513 20.18009 23.22848 25.49300 27.73905

90 1.50000 16.55301 18.80319 21.64359 23.75360 25.84640

100 1.66667 15.53898 17.65132 20.31771 22.29846 24.26306

110 1.83333 14.67529 16.67023 19.18842 21.05908 22.91447

120 2.00000 13.92880 15.82225 18.21235 19.98786 21.74887

130 2.16667 13.27567 15.08034 17.35836 19.05061 20.72905

140 2.33333 12.69830 14.42448 16.60344 18.22209 19.82753

150 2.50000 12.18338 13.83956 15.93016 17.48317 19.02351

160 2.66667 11.72061 13.31389 15.32508 16.81911 18.30095

170 2.83333 11.30194 12.83831 14.77765 16.21831 17.64721

180 3.00000 10.92091 12.40548 14.27944 15.67153 17.05226190 3.16667 10.57232 12.00950 13.82365 15.17130 16.50796

200 3.33333 10.25190 11.64553 13.40469 14.71150 16.00765

210 3.50000 9.95614 11.30955 13.01797 14.28708 15.54583

220 3.66667 9.68208 10.99825 12.65964 13.89381 15.11792

230 3.83333 9.42726 10.70879 12.32645 13.52815 14.72003

240 4.00000 9.18958 10.43879 12.01567 13.18707 14.34891


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Hidrología

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Grafica por el Método SCS (Soil Conservation Service)

0

20

40

60

80

100

120

140

160

0 1 2 3 4 5

I ( m m / h )

t =tc, (horas)

TR5

TR10

TR25

TR50

TR100

GRAFICA I vs t , ESTACIÓN COLASAY


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Hidrología

7

Método de BELL - PRECIPITACIONES

TR (AÑOS)

5 10 25 50 1005 6.85802 9.11195 12.49945 15.38763 18.56007

10 10.26558 13.63942 18.71009 23.03333 27.78206

20 14.31788 19.02353 26.09582 32.12564 38.74892

30 17.03502 22.63367 31.04809 38.22220 46.10240

40 19.13690 25.42635 34.87899 42.93828 51.79079

50 20.87459 27.73515 38.04612 46.83722 56.49356

60 22.36814 29.71956 40.76827 50.18836 60.53560

70 23.68513 31.46938 43.16862 53.14335 64.09981

80 24.86771 33.04063 45.32399 55.79675 67.30027

90 25.94410 34.47078 47.28582 58.21189 70.21333

100 26.93419 35.78626 49.09036 60.43340 72.89284

110 27.85258 37.00649 50.76423 62.49403 75.37831

120 28.71033 38.14614 52.32756 64.41860 77.69966

130 29.51603 39.21664 53.79603 66.22638 79.88015

140 30.27650 40.22705 55.18208 67.93269 81.93824

150 30.99726 41.18469 56.49574 69.54989 83.88886

160 31.68283 42.09558 57.74526 71.08814 85.74425

170 32.33699 42.96472 58.93752 72.55589 87.51460

180 32.96288 43.79632 60.07829 73.96024 89.20848190 33.56322 44.59396 61.17246 75.30724 90.83319

200 34.14030 45.36071 62.22426 76.60207 92.39498

210 34.69614 46.09922 63.23732 77.84922 93.89925

220 35.23246 46.81181 64.21483 79.05259 95.35071

230 35.75080 47.50051 65.15956 80.21561 96.75351

240 36.25250 48.16710 66.07396 81.34130 98.11128


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Hidrología

8

Método de BELL – INTENSIDADES

TR (AÑOS)

5 10 25 50 1005 82.29623 109.34335 149.99344 184.65159 222.72086

10 61.59348 81.83654 112.26054 138.19996 166.69238

20 42.95363 57.07059 78.28747 96.37692 116.24676

30 34.07004 45.26735 62.09619 76.44441 92.20481

40 28.70535 38.13952 52.31848 64.40742 77.68618

50 25.04951 33.28217 45.65534 56.20466 67.79227

60 22.36814 29.71956 40.76827 50.18836 60.53560

70 20.30154 26.97376 37.00167 45.55144 54.94269

80 18.65078 24.78047 33.99299 41.84757 50.47520

90 17.29607 22.98052 31.52388 38.80793 46.80889

100 16.16051 21.47176 29.45422 36.26004 43.73570

110 15.19232 20.18536 27.68958 34.08765 41.11544

120 14.35516 19.07307 26.16378 32.20930 38.84983

130 13.62278 18.09999 24.82894 30.56602 36.86776

140 12.97564 17.24016 23.64946 29.11401 35.11639

150 12.39890 16.47388 22.59829 27.81996 33.55554

160 11.88106 15.78584 21.65447 26.65805 32.15409

170 11.41305 15.16402 20.80148 25.60796 30.88751

180 10.98763 14.59877 20.02610 24.65341 29.73616190 10.59891 14.08230 19.31762 23.78123 28.68417

200 10.24209 13.60821 18.66728 22.98062 27.71849

210 9.91318 13.17121 18.06781 22.24263 26.82836

220 9.60885 12.76686 17.51314 21.55980 26.00474

230 9.32630 12.39144 16.99814 20.92581 25.24005

240 9.06313 12.04177 16.51849 20.33533 24.52782


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Hidrología

9

Grafica por el Método Bell

0

50

100

150

200

250

0 50 100 150 200 250 300

I ( m m / h )

t =tc, (min)

TR5

TR10

TR25

Series4

Series5

GRAFICA I vs t , ESTACIÓN COLASAY


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Hidrología

10

PRECIPITACION MAXIMA 24 H – ESTACION PORCULLA

ESTACION: PORCULLA LAT : 05º50’22.7” DPTO : PIURA

LONG : 79º30’20.6” PROV : HUANCABAMBA

CATEGORIA: “PLU” ALT : 2169 msnm DIST: HUARMACA


5 10 25 50 100

NORMAL 88.0700 107.6000 128.4100 141.8500 153.9300

GUMBEL 82.6600 108.6100 141.3900 165.7100 189.8500

LOG NOMAL2P

72.6300 102.6700 148.4900 188.4500 233.4900

PORCULLA

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Sep. Oct. Nov. Dic.Pmax. 24 hrs.Anual (mm)

2001 18.4 16.7 16.8 10.5 12.3 1.0 5.0 0.0 5.0 7.1 18.4 9.6 18.4

2002 8.9 20.0 20.0 19.4 11.2 1.8 3.2 0.0 0.1 10.3 7.2 12.9 20.0

2003 18.5 16.6 11.0 11.0 9.2 11.5 4.2 0.0 1.4 1.0 7.0 13.5 18.5

2004 9.8 6.4 6.3 16.7 10.2 0.1 1.1 0.0 10.2 12.6 6.6 13.6 16.72005 6 18.3 20 8.5 1.9 3 0 0 2 5 3.5 14 20

2006 18.0 55.4 49.5 17.1 1.7 1.8 7.8 0.0 1.0 0.1 9.9 12.5 55.4

2007 11.1 10.2 15.2 14.1 5 3.5 0.2 1.7 0.3 17.2 10.2 4.3 17.2

2008 55.9 55.0 117.1 104.3 6.9 3.8 5.3 4.0 3.4 15.7 15.4 1.6 117.1

2009 52.3 79.9 72.3 8.4 14.6 1.3 0.0 1.8 0.5 2.5 16.3 9.8 79.9

2010 32.1 158.4 39.3 16.5 3.3 5.3 0.2 1.2 0.4 39.7 5.5 12.2 158.4

2011 18.6 38.5 11.5 30.3 10.8 5.5 2 1.7 7.3 18.2 9.6 19 38.5

2012 22 43.4 32.5 62.5 4.5 0.3 0 0.1 0 8.3 10.6 13.9 62.5

2013 37.3 36.2 26.8 2.2 29.3 0.0 2.1 0.0 7.9 13.7 0.2 8.3 37.3


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Hidrología

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Método SCS (Soil Conservation Service) – INTENSIDADES

TR (AÑOS)

5 10 25 50 1005 0.08333 115.14795 151.29710 196.96066 230.83918 264.46694

10 0.16667 75.96931 99.81886 129.94557 152.29706 174.48311

20 0.33333 50.12105 65.85589 85.73211 100.47859 115.11592

30 0.50000 39.29755 51.63449 67.21849 78.78051 90.25695

40 0.66667 33.06756 43.44868 56.56210 66.29115 75.94819

50 0.83333 28.92386 38.00411 49.47428 57.98418 66.43109

60 1.00000 25.92671 34.06606 44.34766 51.97575 59.54738

70 1.16667 23.63629 31.05659 40.42990 47.38411 54.28684

80 1.33333 21.81646 28.66544 37.31707 43.73585 50.10712

90 1.50000 20.32791 26.70958 34.77090 40.75173 46.68828

100 1.66667 19.08263 25.07336 32.64085 38.25529 43.82818

110 1.83333 18.02198 23.67974 30.82662 36.12900 41.39213

120 2.00000 17.10525 22.47522 29.25855 34.29121 39.28662

130 2.16667 16.30317 21.42134 27.88659 32.68327 37.44444

140 2.33333 15.59414 20.48971 26.67379 31.26185 35.81596

150 2.50000 14.96179 19.65884 25.59215 29.99416 34.36360

160 2.66667 14.39349 18.91214 24.62008 28.85490 33.05837

170 2.83333 13.87934 18.23657 23.74062 27.82417 31.87748

180 3.00000 13.41142 17.62175 22.94024 26.88611 30.80278190 3.16667 12.98333 17.05927 22.20799 26.02791 29.81956

200 3.33333 12.58984 16.54225 21.53493 25.23908 28.91581

210 3.50000 12.22663 16.06501 20.91365 24.51094 28.08160

220 3.66667 11.89007 15.62280 20.33798 23.83625 27.30862

230 3.83333 11.57715 15.21164 19.80272 23.20891 26.58990

240 4.00000 11.28526 14.82811 19.30344 22.62376 25.91950


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Hidrología

12


0

50

100

150

200

250

300

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

I ( m m / h )

t =tc, (horas)

TR5

TR10

TR25

TR50

TR100


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Hidrología

13

Método de BELL - PRECIPITACIONES

TR (AÑOS)

5 10 25 50 1005 8.42199 12.94335 20.08065 26.39905 33.52645

10 12.60664 19.37455 30.05817 39.51602 50.18482

20 17.58306 27.02257 41.92351 55.11481 69.99508

30 20.91984 32.15071 49.87945 65.57409 83.27822

40 23.50105 36.11765 56.03386 73.66500 93.55358

50 25.63503 39.39726 61.12192 80.35403 102.04855

60 27.46918 42.21608 65.49511 86.10325 109.34999

70 29.08651 44.70167 69.35133 91.17283 115.78829

80 30.53878 46.93359 72.81399 95.72502 121.56951

90 31.86063 48.96509 75.96571 99.86844 126.83159

100 33.07651 50.83372 78.86475 103.67966 131.67179

110 34.20434 52.56703 81.55384 107.21489 136.16148

120 35.25770 54.18588 84.06538 110.51668 140.35472

130 36.24714 55.70650 86.42451 113.61812 144.29350

140 37.18104 57.14177 88.65122 116.54546 148.01119

150 38.06617 58.50208 90.76164 119.31993 151.53473

160 38.90808 59.79598 92.76904 121.95896 154.88626

170 39.71141 61.03058 94.68443 124.47703 158.08417

180 40.48005 62.21186 96.51709 126.88634 161.14396190 41.21729 63.34489 98.27490 129.19725 164.07880

200 41.92598 64.43404 99.96464 131.41867 166.89996

210 42.60857 65.48308 101.59215 133.55828 169.61724

220 43.26720 66.49530 103.16253 135.62279 172.23914

230 43.90375 67.47358 104.68026 137.61806 174.77311

240 44.51986 68.42046 106.14927 139.54930 177.22576


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Hidrología

14


TR (AÑOS)

5 10 25 50 1005 101.06382 155.32019 240.96776 316.78864 402.31737

10 75.639836 116.24727 180.34902 237.09612 301.10893

20 52.749179 81.067707 125.77054 165.34443 209.98523

30 41.839684 64.301423 99.758892 131.14818 166.55645

40 35.251581 54.17648 84.050793 110.49751 140.33036

50 30.762033 47.276707 73.346306 96.424836 122.45826

60 27.46918 42.216077 65.495114 86.103254 109.34999

70 24.931292 38.315718 59.443997 78.148143 99.247103

80 22.904081 35.200194 54.610492 71.793769 91.177132

90 21.240422 32.643395 50.643807 66.57896 84.554395

100 19.845907 30.500231 47.318848 62.207797 79.003076

110 18.656913 28.672923 44.483915 58.480848 74.2699

120 17.628849 27.092941 42.032689 55.25834 70.177358

130 16.729448 25.710694 39.888236 52.439131 66.597

140 15.93473 24.489329 37.993379 49.948055 63.433366

150 15.226466 23.400832 36.304657 47.727973 60.613892

160 14.590531 22.423494 34.788389 45.73461 58.082347

170 14.015793 21.540206 33.418033 43.933069 55.794414

180 13.493348 20.737286 32.172362 42.295446 53.714654190 13.015986 20.00365 31.03418 40.799133 51.814356

200 12.577793 19.330213 29.989392 39.425601 50.069989

210 12.173877 18.709453 29.026329 38.159509 48.462069

220 11.800145 18.135083 28.135236 36.988032 46.97431

230 11.453151 17.601803 27.307893 35.900364 45.592986

240 11.129965 17.105114 26.537317 34.887325 44.306439


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Hidrología

15


0

50

100

150

200

250

300

350

400

450

0 50 100 150 200 250 300

I ( m m / h )

t =tc, (min)

TR5

TR10

TR25

TR50

TR100

GRAFICA I vs t , ESTACIÓN PORCULLA


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Hidrología

16

PRECIPITACION MAXIMA 24 H – ESTACION SALLIQUE

ESTACION: SALLIQUE LAT : 05º39’32” DPTO : CAJAMARCA


CATEGORIA: “CO” ALT : 1789 msnm DIST: SALLIQUE

SALLIQUE

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Sep. Oct. Nov. Dic.

Pmax. 24

hrs.Anual (mm)

2002 19.6 26 29.4 41.4 15.8 4.2 3.8 0 4.6 22 19.7 10 41.4

2003 10.8 17.8 23 12.6 11.2 10.6 5.4 0 9.4 3.8 9.6 10.5 23

2004 7.0 4.5 17.4 17.8 12.2 5.6 3.2 0.0 3.8 23.3 17.2 18.2 23.3

20055.0 15.6 36.0 20.2 3.4 2.2 0.0 0.0 14.0 11.0 8.1 27.6

36.0

2006 14.5 42.9 36.2 51.2 6.0 17.8 6.4 1.4 5.5 13.8 20.0 33.6 51.2

2007 28.2 23.8 53.0 19.0 8.8 15.8 1.2 5.8 2.5 24.8 18.4 13.0 53.0

2008 14.4 36.2 30.4 22.4 5.2 9.4 10.4 2.8 2.3 30.8 23.4 0 36.2

2009 24.4 16.0 48.7 16.0 11.2 3.0 0.6 4.6 10.5 17.4 14.8 18.6 48.7

2010 15.6 27.0 36.0 15.4 6.9 5.0 6.2 9.5 7.4 19.4 9.0 20.4 36.0

2011 11.7 16.8 12.5 36.8 4.5 16.2 6.4 1.8 11.4 8.8 23.8 10.4 36.8

2012 25.7 25.7 14.0 13.9 7.0 2.8 0.3 3.0 0.4 31.6 23.5 12.0 31.6

2013 9.9 6.6 13.2 2.8 13.8 2.5 20.8 2.2 2.0 20.0 0.2 6.8 20.8


5 10 25 50 100

NORMAL 45.6100 50.3700 55.4500 58.7400 61.6900

GUMBEL 44.2900 50.6200 58.6200 64.5600 70.4500LOG

NOMAL 2P45.5100 52.2600 60.5400 66.5800 72.5300


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Hidrología

17


TR (AÑOS)

5 10 25 50 1005 0.08333 61.69735 70.51523 81.65948 89.93408 98.13904

10 0.16667 40.70507 46.52270 53.87516 59.33437 64.74762

20 0.33333 26.85533 30.69354 35.54435 39.14608 42.71750

30 0.50000 21.05599 24.06535 27.86865 30.69259 33.49277

40 0.66667 17.71791 20.25018 23.45053 25.82678 28.18304

50 0.83333 15.49767 17.71263 20.51193 22.59042 24.65141

60 1.00000 13.89177 15.87721 18.38645 20.24956 22.09699

70 1.16667 12.66455 14.47458 16.76215 18.46067 20.14489

80 1.33333 11.68946 13.36014 15.47158 17.03932 18.59387

90 1.50000 10.89188 12.44857 14.41594 15.87672 17.32520

100 1.66667 10.22465 11.68597 13.53283 14.90412 16.26387

110 1.83333 9.65635 11.03645 12.78065 14.07572 15.35989

120 2.00000 9.16515 10.47505 12.13053 13.35973 14.57857

130 2.16667 8.73539 9.98387 11.56172 12.73328 13.89498

140 2.33333 8.35548 9.54966 11.05890 12.17950 13.29067

150 2.50000 8.01666 9.16242 10.61045 11.68561 12.75173

160 2.66667 7.71217 8.81440 10.20744 11.24176 12.26738

170 2.83333 7.43668 8.49954 9.84281 10.84019 11.82917

180 3.00000 7.18596 8.21299 9.51098 10.47473 11.43037190 3.16667 6.95659 7.95084 9.20739 10.14038 11.06552

200 3.33333 6.74575 7.70987 8.92834 9.83305 10.73015

210 3.50000 6.55114 7.48744 8.67076 9.54937 10.42059

220 3.66667 6.37081 7.28134 8.43209 9.28651 10.13375

230 3.83333 6.20314 7.08971 8.21017 9.04211 9.86704

240 4.00000 6.04675 6.91096 8.00317 8.81413 9.61827


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Hidrología

18


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GRAFICA I vs t , ESTACIÓN SALLIQUE


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Hidrología

19

Método de BELL – PRECIPITACIONES

TR (AÑOS)

5 10 25 50 1005 4.51258 6.03252 8.32539 10.28497 12.44108

10 6.75476 9.02992 12.46205 15.39529 18.62271

20 9.42117 12.59444 17.38140 21.47253 25.97394

30 11.20905 14.98452 20.67991 25.54742 30.90309

40 12.59208 16.83340 23.23152 28.69961 34.71609

50 13.73549 18.36193 25.34102 31.30563 37.86842

60 14.71824 19.67570 27.15414 33.54551 40.57786

70 15.58482 20.83416 28.75292 35.52060 42.96700

80 16.36296 21.87440 30.18853 37.29411 45.11231

90 17.07122 22.82122 31.49523 38.90837 47.06498

100 17.72270 23.69214 32.69716 40.39321 48.86109

110 18.32701 24.49998 33.81205 41.77052 50.52713

120 18.89140 25.25448 34.85333 43.05689 52.08317

130 19.42155 25.96320 35.83142 44.26520 53.54478

140 19.92195 26.63214 36.75461 45.40568 54.92435

150 20.39621 27.26614 37.62959 46.48660 56.23188

160 20.84731 27.86919 38.46185 47.51476 57.47557

170 21.27775 28.44460 39.25597 48.49579 58.66226

180 21.68959 28.99516 40.01578 49.43445 59.79769190 22.08461 29.52323 40.74457 50.33477 60.88676

200 22.46433 30.03086 41.44513 51.20023 61.93365

210 22.83007 30.51978 42.11989 52.03381 62.94198

220 23.18297 30.99155 42.77097 52.83813 63.91492

230 23.52404 31.44750 43.40022 53.61549 64.85523

240 23.85416 31.88881 44.00927 54.36789 65.76537


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Hidrología

20


TR (AÑOS)

5 10 25 50 1005 54.15094 72.39028 99.90473 123.41968 149.29291

10 40.52853 54.17951 74.77233 92.37177 111.73623

20 28.26350 37.78333 52.14420 64.41758 77.92183

30 22.41809 29.96905 41.35983 51.09484 61.80617

40 18.88813 25.25010 34.84728 43.04942 52.07413

50 16.48258 22.03431 30.40923 37.56676 45.44211

60 14.71824 19.67570 27.15414 33.54551 40.57786

70 13.35842 17.85786 24.64536 30.44623 36.82886

80 12.27222 16.40580 22.64140 27.97059 33.83423

90 11.38082 15.21415 20.99682 25.93892 31.37665

100 10.63362 14.21528 19.61830 24.23593 29.31665

110 9.99655 13.36363 18.44294 22.78392 27.56026

120 9.44570 12.62724 17.42667 21.52844 26.04158

130 8.96379 11.98302 16.53758 20.43009 24.71298

140 8.53798 11.41377 15.75198 19.45958 23.53901

150 8.15848 10.90646 15.05184 18.59464 22.49275

160 7.81774 10.45095 14.42319 17.81803 21.55334

170 7.50979 10.03927 13.85505 17.11616 20.70433

180 7.22986 9.66505 13.33859 16.47815 19.93256190 6.97409 9.32313 12.86671 15.89519 19.22740

200 6.73930 9.00926 12.43354 15.36007 18.58009

210 6.52288 8.71994 12.03426 14.86680 17.98342

220 6.32263 8.45224 11.66481 14.41040 17.43134

230 6.13671 8.20369 11.32180 13.98665 16.91876

240 5.96354 7.97220 11.00232 13.59197 16.44134


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Hidrología

21


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GRAFICA I vs t , ESTACIÓN SALLIQUE


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Hidrología

22

PRECIPITACION MAXIMA 24 H – ESTACION PUCARA

ESTACION: PUCARA LAT : 06º02’30” DPTO : CAJAMARCA


CATEGORIA: “PLU” ALT : 1061.6msnm DIST: PUCARA

Distribución TR AÑOS5 10 25 50 100

NORMAL 58.3500 64.6700 71.4000 75.7500 79.6600

GUMBEL 56.6000 65.0000 75.6000 83.4700 91.2800

LOGNOMAL 2P

61.4700 73.7800 89.6200 101.6300 113.7800

Año

PUCARÁ

Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Sep. Oct. Nov. Dic.Pmax. 24 hrs.Anual

(mm)

1995 2.7 10.6 10.6 20.1 4.0 0.5 10.3 0.6 2.5 10.0 20.2 23.6 23.6 1996 9.5 10.4 40.7 22.1 4.5 10.3 0.0 1.3 10.3 20.7 20.7 11.8 40.7 1997 10.4 12.0 5.7 11.7 4.4 3.6 4.0 1.4 2.7 7.5 10.1 2.6 12.0 1998 17.2 50.4 30.2 30.5 20.4 7.9 0.0 5.3 60.1 40.8 30.3 11.8 60.1 1999 37.6 32.0 20.6 10.9 28.2 7.1 2.1 0.7 20.6 6.5 26.5 30.4 37.6

2000 20.5 70.5 10.1 35.9 14.1 10.2 1.8 4.6 20.5 2.6 10.4 12.7 70.5 2001 50.6 55.8 50.0 11.0 40.3 2.1 5.1 0.0 20.9 50.6 32.8 14.9 55.8 2002 19.6 8.3 14.6 30.2 18.4 4.5 10.1 0.0 1.3 40.6 17.8 11.4 40.6 2003 11.3 24.3 30.2 10.2 10.6 10.5 2.2 2.5 10.1 61.3 30.1 20.9 61.3 2004 10.7 20.0 10.9 50.1 10.4 2.4 7.9 0.0 31.4 20.4 28.3 40.1 50.1 2005 4.0 50.2 40.2 20.9 9.1 3.2 0.1 10.3 11.6 12.0 10.3 22.7 50.2 2007 47.2 10.2 44.0 21.8 16.5 1.1 3.1 7.8 5.3 45.6 60.7 26.4 60.7 2008 35.3 30.6 27.7 20.9 15.4 9.5 3.3 11.6 4.0 40.2 52.5 19.2 52.5 2009 53.1 17.7 28.9 25.3 3.5 2.8 3.1 8.1 2.5 39.7 11.7 20.4 53.1 2010 7.1 38.0 45.1 12.5 8.2 3.6 0.3 2.2 7.1 42.6 9.2 27.6 45.1 2011 20.6 23.4 25.4 30.4 15.8 0.6 3.3 0.8 9.2 31.8 22.0 23.1 31.8 2012 11.9 21.0 30.4 39.8 12.6 1.7 0.8 0.5 1.0 28.3 27.6 24.7 39.8 2013 15.0 12.7 28.2 6.1 47.5 1.3 1.5 13.9 2.4 20.4 28.0 14.0 47.5


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Hidrología

23


TR (AÑOS)

5 10 25 50 1005 0.08333 78.84556 90.54702 105.31315 116.27630 127.15587

10 0.16667 52.01867 59.73875 69.48077 76.71375 83.89159

20 0.33333 34.31952 39.41288 45.84021 50.61220 55.34781

30 0.50000 26.90831 30.90177 35.94114 39.68263 43.39560

40 0.66667 22.64244 26.00280 30.24326 33.39160 36.51594

50 0.83333 19.80511 22.74438 26.45347 29.20729 31.94011

60 1.00000 17.75287 20.38757 23.71231 26.18077 28.63042

70 1.16667 16.18454 18.58649 21.61752 23.86791 26.10115

80 1.33333 14.93844 17.15545 19.95311 22.03024 24.09153

90 1.50000 13.91918 15.98493 18.59170 20.52711 22.44776

100 1.66667 13.06650 15.00570 17.45278 19.26962 21.07261

110 1.83333 12.34024 14.17165 16.48272 18.19858 19.90136

120 2.00000 11.71252 13.45078 15.64429 17.27287 18.88903

130 2.16667 11.16332 12.82006 14.91072 16.46293 18.00331

140 2.33333 10.67782 12.26251 14.26224 15.74695 17.22034

150 2.50000 10.24482 11.76526 13.68390 15.10840 16.52204

160 2.66667 9.85569 11.31838 13.16414 14.53454 15.89448

170 2.83333 9.50364 10.91407 12.69390 14.01535 15.32671

180 3.00000 9.18324 10.54612 12.26595 13.54284 14.81000190 3.16667 8.89011 10.20949 11.87442 13.11055 14.33726

200 3.33333 8.62067 9.90007 11.51454 12.71321 13.90274

210 3.50000 8.37197 9.61445 11.18235 12.34644 13.50165

220 3.66667 8.14152 9.34980 10.87454 12.00659 13.13000

230 3.83333 7.92725 9.10373 10.58834 11.69059 12.78444

240 4.00000 7.72738 8.87420 10.32138 11.39584 12.46211


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Hidrología

24


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GRAFICA I vs t , ESTACIÓN PUCARÁ


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Hidrología

25

Método de BELL – PRECIPITACIONES

TR (AÑOS)

5 10 25 50 1005 5.7668083 7.7462268 10.736947 13.297502 16.119537

10 8.6321774 11.595115 16.071842 19.904666 24.128894

20 12.039695 16.17224 22.416137 27.761953 33.653678

30 14.324499 19.241288 26.670105 33.030411 40.040223

40 16.091939 21.61539 29.960817 37.105895 44.980618

50 17.55314 23.578138 32.681359 40.475233 49.065007

60 18.809044 25.265123 35.019666 43.371182 52.575543

70 19.916481 26.752681 37.081551 45.924787 55.671082

80 20.910896 28.088422 38.933005 48.217777 58.450697

90 21.816015 29.304217 40.618203 50.304862 60.98071

100 22.648567 30.422537 42.168292 52.224618 63.307881

110 23.420828 31.459872 43.606129 54.005351 65.466527

120 24.142097 32.428711 44.949025 55.668501 67.482636

130 24.819598 33.33876 46.210432 57.23073 69.376406

140 25.459069 34.197725 47.401033 58.705266 71.163872

150 26.065146 35.011834 48.529458 60.102799 72.857994

160 26.641634 35.786198 49.602795 61.432106 74.46941

170 27.191701 36.525071 50.626937 62.700486 76.00697

180 27.718008 37.23203 51.606845 63.914083 77.478119190 28.222822 37.910118 52.546733 65.078117 78.889189

200 28.708085 38.561944 53.450222 66.19707 80.245609

210 29.175478 39.189766 54.320437 67.274815 81.552077

220 29.626464 39.79555 55.160107 68.31473 82.812685

230 30.062327 40.381021 55.971621 69.319774 84.031023

240 30.484201 40.9477 56.757088 70.29256 85.210256


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Hidrología

26


TR (AÑOS)

5 10 25 50 1005 69.201699 92.954722 128.84336 159.57002 193.43444

10 51.793065 69.570689 96.43105 119.428 144.77336

20 36.119084 48.51672 67.24841 83.28586 100.96103

30 28.648998 38.482575 53.340209 66.060822 80.080446

40 24.137908 32.423084 44.941226 55.658843 67.470928

50 21.063768 28.293766 39.21763 48.57028 58.878009

60 18.809044 25.265123 35.019666 43.371182 52.575543

70 17.071269 22.930869 31.784187 39.364103 47.71807

80 15.683172 21.066316 29.199754 36.163333 43.838023

90 14.54401 19.536145 27.078802 33.536575 40.653806

100 13.58914 18.253522 25.300975 31.334771 37.984729

110 12.774997 17.15993 23.785161 29.457464 35.709015

120 12.071048 16.214355 22.474512 27.834251 33.741318

130 11.455199 15.38712 21.327892 26.414183 32.01988

140 10.91103 14.656168 20.314728 25.1594 30.498802

150 10.426058 14.004733 19.411783 24.04112 29.143198

160 9.9906129 13.419824 18.601048 23.03704 27.926029

170 9.5970708 12.891201 17.868331 22.129583 26.825989

180 9.2393361 12.410677 17.202282 21.304694 25.82604190 8.9124701 11.971616 16.593705 20.550984 24.912375

200 8.6124255 11.568583 16.035066 19.859121 24.073683

210 8.3358507 11.197076 15.520125 19.221376 23.300593

220 8.0799446 10.853332 15.043666 18.63129 22.585278

230 7.8423462 10.534179 14.601292 18.083419 21.921136

240 7.6210503 10.236925 14.189272 17.57314 21.302564


27/27



Hidrología


CONCLUSIONES

Con las graficas de las curvas I vs t nos podemos ayudar rápidamente

cuando uno requiere calcular la intensidad o precipitaciones máximas

para determinados tiempos de retorno que cada uno desee de acuerdo al

proyecto que se está realizando.

También podemos observar que las curvas I vs t están mucho más

juntas en las graficas por el método SCS. Y por el método de BELL las

curvas tienen un margen de separación mucho mayor y más deseable.

0

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t =tc, (min)

TR5

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GRAFICA I vs t , ESTACIÓN PUCARÁ

Word Curvas Idf

Documents

Transcript of Word Curvas Idf