CAUDALES MAXIMOS DIARIOS (M3/S)

RIO: LA LECHE: ESTACION PUCHACA

AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC MAX PROM MIN1960 11.485 26.880 22.802 16.153 19.729 6.954 2.369 15.122 16.192 3.593 3.555 2.410 26.880 12.270 2.3691961 5.263 10.193 37.221 35.120 13.107 5.667 1.526 1.088 12.911 6.038 3.844 14.835 37.221 12.234 1.0881962 8.419 41.801 27.522 38.336 15.047 5.222 1.255 2.896 7.520 2.891 12.036 8.177 41.801 14.260 1.2551963 2.931 3.101 27.202 10.377 5.318 6.440 3.103 0.668 0.253 10.202 6.299 15.263 27.202 7.596 0.2531964 23.114 10.788 25.125 18.625 6.291 4.682 5.953 14.120 7.393 38.475 24.452 5.800 38.475 15.402 4.6821965 6.498 23.451 32.375 55.875 10.758 10.531 15.691 7.750 16.247 7.311 21.900 34.220 55.875 20.217 6.4981966 30.125 13.225 9.947 14.776 34.525 2.229 1.664 7.608 9.287 24.544 7.292 6.055 34.525 13.440 1.6641967 34.750 31.250 27.707 26.495 4.605 2.914 17.411 5.570 6.492 15.908 5.766 17.829 34.750 16.391 2.9141968 17.136 3.908 8.138 22.357 7.056 0.570 12.758 8.611 11.257 26.588 11.245 1.987 26.588 10.968 0.5701969 29.500 23.294 55.125 29.165 22.962 10.713 2.315 12.848 8.404 3.081 12.641 19.654 55.125 19.142 2.3151970 30.750 12.561 44.867 25.256 28.358 27.350 10.313 5.075 11.471 48.212 30.733 29.666 48.212 25.384 5.0751971 21.238 18.870 121.250 92.375 22.647 10.827 7.504 15.342 11.652 20.647 21.622 19.065 121.250 31.920 7.5041972 42.875 36.925 141.312 62.312 11.692 14.220 30.293 13.968 20.129 2.777 6.131 20.291 141.312 33.577 2.7771973 26.002 105.200 63.450 58.937 17.998 13.260 11.100 11.729 28.363 6.234 15.573 8.620 105.200 30.539 6.2341974 23.958 38.865 18.349 14.342 9.397 10.125 21.312 9.083 11.932 22.195 11.168 58.216 58.216 20.745 9.0831975 40.810 30.980 210.131 29.036 11.468 17.604 10.304 15.210 13.947 16.302 23.007 1.686 210.131 35.040 1.6861976 41.906 47.002 24.970 34.272 19.080 43.523 9.465 11.155 6.915 1.028 1.894 13.239 47.002 21.204 1.0281977 18.754 40.414 72.299 28.171 15.363 31.663 6.402 3.338 11.901 8.728 9.491 6.694 72.299 21.102 3.3381978 14.091 14.418 68.725 12.510 13.015 8.844 21.133 10.965 9.326 14.762 24.212 13.780 68.725 18.815 8.8441979 17.138 10.780 48.401 19.105 6.649 7.612 1.754 2.056 9.279 4.172 0.584 2.403 48.401 10.828 0.5841980 9.895 6.345 31.550 17.750 11.054 2.410 4.395 2.586 0.634 34.346 14.978 13.641 34.346 12.465 0.6341981 1.995 30.998 34.835 47.313 3.685 16.547 7.224 4.348 0.639 12.163 5.325 13.783 47.313 14.905 0.6391982 5.821 5.651 8.636 24.824 6.673 4.790 6.278 1.501 7.582 9.572 7.773 18.980 24.824 9.007 1.5011983 77.292 46.250 122.500 120.937 215.813 13.475 7.693 4.596 5.202 20.771 10.142 8.738 215.813 54.451 4.5961984 2.539 92.216 114.538 11.135 13.131 18.793 5.921 10.338 3.471 27.291 6.500 8.468 114.538 26.195 2.5391985 4.134 20.831 28.938 5.763 15.570 10.725 3.800 6.775 12.988 40.875 0.424 13.472 40.875 13.691 0.4241986 21.750 5.252 20.743 31.997 14.103 1.777 3.331 9.791 1.024 5.564 13.979 10.413 31.997 11.644 1.0241987 17.648 20.592 49.077 12.625 8.153 0.798 4.956 4.311 1.408 3.103 2.656 6.700 49.077 11.002 0.7981988 9.009 10.709 16.447 27.075 11.350 1.906 0.347 0.380 2.538 9.263 13.863 3.772 27.075 8.888 0.3471989 13.781 58.438 59.031 23.425 6.300 14.081 2.081 1.134 3.003 4.325 1.075 0.398 59.031 15.589 0.3981990 13.850 14.494 22.288 8.531 4.981 20.544 9.350 0.444 1.084 30.911 18.525 9.438 30.911 12.870 0.4441991 10.500 40.494 14.272 15.519 6.975 1.088 0.840 0.233 0.500 0.783 2.994 2.971 40.494 8.097 0.2331992 15.675 21.338 26.950 58.131 4.100 7.594 2.591 3.184 2.730 5.512 5.409 10.101 58.131 13.610 2.5911993 3.255 12.184 53.306 30.038 6.456 2.806 1.453 2.054 3.181 5.000 3.313 5.413 53.306 10.705 1.4531994 5.981 14.000 51.781 17.256 7.813 3.447 3.006 1.906 4.238 2.353 14.454 18.306 51.781 12.045 1.9061995 23.450 23.163 5.672 4.688 5.963 0.844 5.141 0.398 0.729 1.134 3.625 14.688 23.450 7.458 0.3981996 7.625 11.125 21.000 8.944 4.475 4.013 1.488 1.936 0.850 13.094 8.375 3.388 21.000 7.193 0.8501997 1.219 21.000 15.069 9.700 5.000 1.163 0.944 1.172 0.731 1.100 7.063 18.250 21.000 6.868 0.7311998 431.250 579.750 400.000 297.500 99.500 14.125 6.488 2.650 15.375 11.281 24.088 3.381 579.750 157.116 2.6501999 19.625 62.375 54.125 28.875 44.000 9.800 14.938 2.800 5.619 5.275 3.838 19.513 62.375 22.565 2.8002000 1.306 22.625 155.000 30.125 10.644 10.438 3.925 31.000 4.075 2.619 0.406 63.125 155.000 27.941 0.4062001 28.313 91.250 500.000 38.188 15.000 53.175 15.013 1.000 12.463 9.363 13.688 16.500 500.000 66.163 1.0002002 14.250 58.688 117.500 301.875 17.875 3.719 5.656 2.694 0.575 12.250 19.275 16.175 301.875 47.544 0.5752003 9.750 105.250 9.594 5.363 20.625 15.775 1.706 0.656 0.881 1.440 2.775 9.438 105.250 15.271 0.6562004 10.425 2.519 11.500 19.250 5.575 1.794 12.713 0.666 5.691 15.156 9.750 20.000 20.000 9.587 0.666

2005 3.475 40.000 40.000 13.650 1.300 1.700 0.794 0.150 0.080 5.838 4.775 2.925 40.000 9.557 0.080

Método Lebediev

AÑO Q max Q/Qm - 1 (Q/Qm - 1)^2 (Q/Qm - 1)^3

1960 26.880 -0.69153 0.47821 -0.331

1961 37.221 -0.57286 0.32816 -0.188

1962 41.801 -0.52030 0.27071 -0.141

1963 27.202 -0.68783 0.47311 -0.325

1964 38.475 -0.55846 0.31188 -0.174

1965 55.875 -0.35878 0.12873 -0.046

1966 34.525 -0.60379 0.36457 -0.220

1967 34.750 -0.60121 0.36146 -0.217

1968 26.588 -0.69488 0.48286 -0.336

1969 55.125 -0.36739 0.13498 -0.050

1970 48.212 -0.44672 0.19956 -0.089

1971 121.250 0.39145 0.15323 0.060

1972 141.312 0.62168 0.38649 0.240

1973 105.200 0.20726 0.04296 0.009

1974 58.216 -0.33192 0.11017 -0.037

1975 210.131 1.41144 1.99217 2.812

1976 47.002 -0.46061 0.21216 -0.098

1977 72.299 -0.17030 0.02900 -0.005

1978 68.725 -0.21132 0.04466 -0.009

1979 48.401 -0.44456 0.19763 -0.088

1980 34.346 -0.60585 0.36705 -0.222

1981 47.313 -0.45704 0.20889 -0.095

1982 24.824 -0.71512 0.51140 -0.366

1983 215.813 1.47665 2.18049 3.220

1984 114.538 0.31443 0.09886 0.031

1985 40.875 -0.53092 0.28188 -0.150

1986 31.997 -0.63281 0.40044 -0.253

1987 49.077 -0.43680 0.19079 -0.083

1988 27.075 -0.68929 0.47512 -0.327

1989 59.031 -0.32257 0.10405 -0.034

1990 30.911 -0.64527 0.41637 -0.269

1991 40.494 -0.53530 0.28654 -0.153

1992 58.131 -0.33289 0.11082 -0.037

1993 53.306 -0.38827 0.15075 -0.059

1994 51.781 -0.40577 0.16465 -0.067

1995 23.450 -0.73089 0.53420 -0.390

1996 21.000 -0.75901 0.57609 -0.437

1997 21.000 -0.75901 0.57609 -0.437

1998 579.750 5.65315 31.95811 180.664

1999 62.375 -0.28419 0.08076 -0.023

2000 155.000 0.77876 0.60647 0.472

2001 500.000 4.73795 22.44815 106.358

2002 301.875 2.46429 6.07270 14.965

2003 105.250 0.20784 0.04320 0.009

2004 20.000 -0.77048 0.59364 -0.457

2005 40.000 -0.54096 0.29264 -0.158

Σ 4008.402 76.433 302.468

N = 46

Qm = Σ Qi / N

Qm = 87.139 m3/s.

Coeficiente de Variación Cv:

Cv= √((Σ(Qi/Qm - 1)^2 / N))

Cv= 1.28902

Coeficiente de Asimetría Cs: Considerando que la avenida es producida por una tormenta:

Cs= (Σ (Qi/Qm - 1)^3) / (N*Cv^3) Cs= 3*Cv

Cs= 3.07000 Cs= 3.86707

Escogemos el mayor: =====> Cs= 3.86707

Para el período de retorno de 50 años, el valor P es:

T= 50 P= 0.02

P= 2 %

Con P (%) y Cs, se obtiene el valor K de la Tabla 6.17 (Hidrología, Máximo Villón Béjar)

K= 3.193414

Con P (%) y Cv, se obtiene el valor de Er de la figura 6.3

Er = 1.68

Qm (K*Cv + 1)

445.83786 m3/s

Cáculo del intervalo de confianza: Para N = 46 años (N>40 años) se toma A= 0.7

A= 0.7

ΔQ = +- (A*Er*Qmax)/√N

ΔQ = +- 77.3046024 m3/s

523.142462 m3/s

T (años) P (%) K

5 20.00 0.23000 1.290 112.974 128.015

10 10.00 0.98659 1.380 197.957 226.152

25 4.00 2.27500 1.530 342.677 396.790

50 2.00 3.19341 1.680 445.838 523.142

100 1.00 4.31341 1.780 571.641 676.659

200 0.50 5.43024 1.870 697.088 831.628

1000 0.10 8.04048 2.010 990.283 1195.718

Cálculo del caudal máximo Qmax :

Qmax =

Qmax =

Cálculo del caudal de diseño Qd :

Qd = Qmax + ΔQ

Qd =

Er Qmax (m3/s) Qd (m3/s)

K; Er:Obtenidos de tabla

Método Lebediev

Interpolación

X1 3.85 y1 8.02

x2 3.9 y2 8.08

x? 3.86707 y? 8.040484

Método Nash

m Q T T/(T-1) X Q*X Q^2

1 579.750 47.00000 1.02174 -2.030 -1176.69069 336110.06250

2 500.000 23.50000 1.04444 -1.724 -861.93755 250000.00000

3 301.875 15.66667 1.06818 -1.543 -465.77756 91128.51563

4 215.813 11.75000 1.09302 -1.413 -304.96147 46575.25097

5 210.131 9.40000 1.11905 -1.311 -275.51288 44155.03716

6 155.000 7.83333 1.14634 -1.227 -190.16063 24025.00000

7 141.312 6.71429 1.17500 -1.155 -163.16832 19969.08134

8 121.250 5.87500 1.20513 -1.091 -132.32458 14701.56250

9 114.538 5.22222 1.23684 -1.035 -118.51604 13118.95344

10 105.250 4.70000 1.27027 -0.983 -103.50291 11077.56250

11 105.200 4.27273 1.30556 -0.936 -98.49969 11067.04000

12 72.299 3.91667 1.34286 -0.893 -64.54051 5227.14540

13 68.725 3.61538 1.38235 -0.852 -58.55069 4723.12563

14 62.375 3.35714 1.42424 -0.814 -50.75168 3890.64063

15 59.031 3.13333 1.46875 -0.777 -45.89183 3484.65896

16 58.216 2.93750 1.51613 -0.743 -43.25186 3389.10266

17 58.131 2.76471 1.56667 -0.710 -41.27403 3379.21316

18 55.875 2.61111 1.62069 -0.678 -37.90570 3122.01563

19 55.125 2.47368 1.67857 -0.648 -35.71734 3038.76563

20 53.306 2.35000 1.74074 -0.618 -32.96776 2841.52964

21 51.781 2.23810 1.80769 -0.590 -30.54336 2681.27196

22 49.077 2.13636 1.88000 -0.562 -27.58124 2408.55193

23 48.401 2.04348 1.95833 -0.535 -25.88417 2342.65680

24 48.212 1.95833 2.04348 -0.508 -24.49749 2324.39694

25 47.313 1.88000 2.13636 -0.482 -22.80079 2238.51997

26 47.002 1.80769 2.23810 -0.456 -21.43680 2209.18800

27 41.801 1.74074 2.35000 -0.431 -17.99728 1747.32360

28 40.875 1.67857 2.47368 -0.405 -16.56366 1670.76563

29 40.494 1.62069 2.61111 -0.380 -15.38958 1639.76404

30 40.000 1.56667 2.76471 -0.355 -14.19691 1600.00000

31 38.475 1.51613 2.93750 -0.330 -12.68808 1480.32563

32 37.221 1.46875 3.13333 -0.305 -11.33426 1385.40284

33 34.750 1.42424 3.35714 -0.279 -9.69661 1207.56250

34 34.525 1.38235 3.61538 -0.253 -8.74330 1191.97562

35 34.346 1.34286 3.91667 -0.227 -7.79676 1179.64772

36 31.997 1.30556 4.27273 -0.200 -6.40495 1023.80801

37 30.911 1.27027 4.70000 -0.173 -5.33423 955.48992

38 27.202 1.23684 5.22222 -0.144 -3.91608 739.94880

39 27.075 1.20513 5.87500 -0.114 -3.08842 733.05563

40 26.880 1.17500 6.71429 -0.082 -2.21745 722.53440

41 26.588 1.14634 7.83333 -0.049 -1.29453 706.92174

42 24.824 1.11905 9.40000 -0.012 -0.29367 616.23098

43 23.450 1.09302 11.75000 0.029 0.68941 549.90250

44 21.000 1.06818 15.66667 0.077 1.62455 441.00000

45 21.000 1.04444 23.50000 0.137 2.87824 441.00000

46 20.000 1.02174 47.00000 0.223 4.46523 400.00000

Σ 4008.402 -27.585 -4581.94593 929661.50851

N = 46

Qm = Σ Qi / N Xm = ΣXi / N

Qm = 87.139 m3/s. Xm = -0.600

Cálculo de Parámetros a y b

b= -188.60883

a= -25.96572

361.96607 m3/s

T= 50

Cálculo de las desviaciones estándar y covarianza:

Sxx= 531.2406

Sqq= 26697142.7980

Sxq= -100196.6691

X= -2.056806116566

ΔQ = 62.89057

Cálculo del caudal de diseño:

424.857 m3/s

T (años) P (%) X

5 80.00 -1.01363 165.214 201.959

10 90.00 -1.33954 226.683 269.719

25 96.00 -1.75132 304.349 358.123

50 98.00 -2.05681 361.966 424.857

100 99.00 -2.36004 419.158 491.665

200 99.50 -2.66216 476.141 558.596

1000 99.90 -3.36200 608.137 714.463

Cálculo del Qmax:

Q max =

Qd = Qmax + ΔQ

Qd =

Qmax(m3/s) Qd(m3/s)

Método Nash

X^2

4.11949

2.97175

2.38069

1.99680

1.71911

1.50514

1.33326

1.19102

1.07067

0.96708

0.87667

0.79689

0.72583

0.66203

0.60438

0.55198

0.50412

0.46023

0.41982

0.38250

0.34793

0.31584

0.28600

0.25819

0.23224

0.20801

0.18537

0.16421

0.14443

0.12597

0.10875

0.09273

0.07786

0.06413

0.05153

0.04007

0.02978

0.02073

0.01301

0.00681

0.00237

0.00014

0.00086

0.00598

0.01879

0.04985

28.09104

m Q T T/(T-1) X Q*X

1 3800.000 31.00000 1.03333 -1.846 -7016.61115

2 2280.000 15.50000 1.06897 -1.538 -3506.97293

3 1660.000 10.33333 1.10714 -1.355 -2248.53930

4 1410.000 7.75000 1.14815 -1.222 -1722.82787

5 1230.000 6.20000 1.19231 -1.117 -1373.87666

6 1150.000 5.16667 1.24000 -1.030 -1183.98515

7 1120.000 4.42857 1.29167 -0.954 -1068.57942

8 1030.000 3.87500 1.34783 -0.887 -913.90000

9 953.000 3.44444 1.40909 -0.827 -788.12293

10 934.000 3.10000 1.47619 -0.772 -720.81218

11 921.000 2.81818 1.55000 -0.720 -663.57026

12 917.000 2.58333 1.63158 -0.672 -616.60933

13 876.000 2.38462 1.72222 -0.627 -549.18534

14 850.000 2.21429 1.82353 -0.584 -495.97896

15 824.000 2.06667 1.93750 -0.542 -446.40406

16 818.000 1.93750 2.06667 -0.501 -410.07711

17 779.000 1.82353 2.21429 -0.462 -359.80987

18 740.000 1.72222 2.38462 -0.423 -313.15098

19 683.000 1.63158 2.58333 -0.385 -262.89531

20 658.000 1.55000 2.81818 -0.347 -228.20585

21 618.000 1.47619 3.10000 -0.309 -190.71400

22 610.000 1.40909 3.44444 -0.270 -164.65689

23 581.000 1.34783 3.87500 -0.230 -133.87520

24 563.000 1.29167 4.42857 -0.190 -106.73932

25 557.000 1.24000 5.16667 -0.147 -81.75774

26 522.000 1.19231 6.20000 -0.101 -52.75337

27 520.000 1.14815 7.75000 -0.051 -26.49446

28 418.000 1.10714 10.33333 0.006 2.56691

29 367.000 1.06897 15.50000 0.076 27.77016

30 360.000 1.03333 31.00000 0.174 62.48987

Σ 28749.000 -17.853 -25554.27868

N = 30

Qm = Σ Qi / N Xm = ΣXi / N

Qm = 958.300 m3/s. Xm = -0.595

Cálculo de Parámetros a y b

b= -1206.30305

a= 240.43689

2721.56838 m3/s

T= 50

Cálculo de las desviaciones estándar y covarianza:

Sxx= 210.0451

Sqq= 391346949.0000

Sxq= -253378.0648

X= -2.056806116566

ΔQ = 429.54259

Cálculo del caudal de diseño:

3151.11097

Cálculo del Qmax:

Q max =

Qd = Qmax + ΔQ

Qd =

Q^2 X^2

14440000.00000 3.40948

5198400.00000 2.36589

2755600.00000 1.83478

1988100.00000 1.49295

1512900.00000 1.24763

1322500.00000 1.05998

1254400.00000 0.91029

1060900.00000 0.78727

908209.00000 0.68391

872356.00000 0.59559

848241.00000 0.51910

840889.00000 0.45215

767376.00000 0.39303

722500.00000 0.34048

678976.00000 0.29350

669124.00000 0.25132

606841.00000 0.21334

547600.00000 0.17908

466489.00000 0.14816

432964.00000 0.12028

381924.00000 0.09523

372100.00000 0.07286

337561.00000 0.05309

316969.00000 0.03594

310249.00000 0.02155

272484.00000 0.01021

270400.00000 0.00260

174724.00000 0.00004

134689.00000 0.00573

129600.00000 0.03013

40595065.00000 17.62559

Método Gamma

AÑO Q max Qm = Σ Qi / N

1960 26.880 Qm = 87.139 m3/s.

1961 37.221

1962 41.801 Valor Mínimo:

1963 27.202 Xo = 20.000 m3/s

1964 38.475

1965 55.875 Desviación Estandar:

1966 34.525 σ = 113.56571

1967 34.750

1968 26.588

1969 55.125 67.139 λ ….……(1)

1970 48.212

1971 121.250

1972 141.312

1973 105.200 λ = 0.0052056

1974 58.216 σ *λ =

1975 210.131 0.5911777 0.5911850

1976 47.002

1977 72.299 λ = 0.0052056 =====> 0.349

1978 68.725

1979 48.401

1980 34.346 Xo + Xt / 2λ

1981 47.313 20.000 + 96.050 Xt

1982 24.824

1983 215.813

1984 114.538 T (años) P (%) Xt (at=0.349)

1985 40.875 5 80.00 1.16284 131.691

1986 31.997 10 90.00 2.13620 225.183

1987 49.077 25 96.00 3.46985 353.281

1988 27.075 50 98.00 4.56454 458.426

1989 59.031 100 99.00 5.85084 581.976

1990 30.911 200 99.50 7.05856 697.978

1991 40.494 1000 99.90 9.89400 970.323

1992 58.131

1993 53.306

1994 51.781

1995 23.450

1996 21.000

1997 21.000

1998 579.750

1999 62.375

2000 155.000

2001 500.000

2002 301.875

2003 105.250

2004 20.000

2005 40.000

Σ 4008.402

N = 46

Qm = at / λ + Xo………….(a) de donde: at=

σ = √(at / λ^2) …………….(b); reemplazando (1) en (b):

√(at)

at=

Q max =

Q max =

Qmax(m3/s)

Xt:Obtenidos de tabla

Método Gumbel Tipo I

AÑO Q Σ Qi / N

1960 26.880 87.139 m3/s.

1961 37.221

1962 41.801 Desviación Estandar:

1963 27.202 113.56571

1964 38.475

1965 55.875

1966 34.525

1967 34.750 Para N= 46; 1.1538

1968 26.588 0.5468

1969 55.125

1970 48.212

1971 121.250

1972 141.312 Intervalo de Confianza:

1973 105.200 Φ = 1-1/T

1974 58.216

1975 210.131 Si 0.2 < Φ < 0.80 ====> ΔQ =

1976 47.002

1977 72.299 Si Φ > 0.90 ====> ΔQ =

1978 68.725

1979 48.401

1980 34.346

1981 47.313 T (años) P (%) Φ √(N*α*σm)

1982 24.824 5 80.00 191.732 0.800 2.2408 224.251

1983 215.813 10 90.00 259.957 0.900 - 372.164

1984 114.538 25 96.00 350.145 0.960 - 462.352

1985 40.875 50 98.00 418.370 0.980 - 530.577

1986 31.997 100 99.00 486.595 0.990 - 598.802

1987 49.077 200 99.50 554.819 0.995 - 667.027

1988 27.075 1000 99.90 713.232 0.999 - 825.440

1989 59.031

1990 30.911

1991 40.494

1992 58.131

1993 53.306

1994 51.781

1995 23.450

1996 21.000

1997 21.000

1998 579.750

1999 62.375

2000 155.000

2001 500.000

2002 301.875

2003 105.250

2004 20.000

2005 40.000

Σ 4008.402

N = 46

Qm =

Qm =

σQ =

Cálculo de los coeficientes σN, YN, de la tabla :

σN =

YN =

Qmax= Qm - σQ (YN - ln T) / σN

+-√(N*α*σm) * σQ / (σN * √N)

+- 1.14 σQ / σN

Qmax (m3/s) Qd (m3/s)

Determinación Caudal de Diseño

T (años) Q (m3/s) Lebediev

47.000 579.750 T (años) Qd (m3/s)

23.500 500.000 5 128.015

15.667 301.875 10 226.152

11.750 215.813 25 396.790

9.400 210.131 50 523.142

7.833 155.000 100 676.659

6.714 141.312 200 831.628

5.875 121.250 1000 1195.718

5.222 114.538

4.700 105.250 Nash

4.273 105.200 T (años) Qd(m3/s)

3.917 72.299 5 201.959

3.615 68.725 10 269.719

3.357 62.375 25 358.123

3.133 59.031 50 424.857

2.938 58.216 100 491.665

2.765 58.131 200 558.596

2.611 55.875 1000 714.463

2.474 55.125

2.350 53.306 Gamma

2.238 51.781 T (años) Q (m3/s)

2.136 49.077 5 131.691

2.043 48.401 10 225.183

1.958 48.212 25 353.281

1.880 47.313 50 458.426

1.808 47.002 100 581.976

1.741 41.801 200 697.978

1.679 40.875 1000 970.323

1.621 40.494

1.567 40.000 Gumbel I

1.516 38.475 T (años) Qd (m3/s)

1.469 37.221 5 224.251

1.424 34.750 10 372.164

1.382 34.525 25 462.352

1.343 34.346 50 530.577

1.306 31.997 100 598.802

1.270 30.911 200 667.027

1.237 27.202 1000 825.440

1.205 27.075

1.175 26.880

1.146 26.588

1.119 24.824

1.093 23.450

1.068 21.000

1.044 21.000

1.022 20.000

En el gráfico podemos observar que la distribución que más se acerca a la distribusión registrada,

es la distribución Lebediev, por lo cual asumiremos a esta distribución para calcular el Qd:

Lebediev Rio La Leche

T (años) Qd (m3/s) T =

5 128.015

10 226.152 Qd' =

25 396.790

50 523.142

100 676.659

200 831.628

1000 1195.718

Lebediev Rio Motupe

T (años) Qd (m3/s)

5 62.123

10 113.643

25 196.236

50 261.572

100 376.321

200 456.235

1000 560.123

1 10 100 10000

200

400

600

800

1000

1200

1400

T VS Q

Registro

Lebediev

Nash

Gamma

Gumbel I

Tiempo de Retorno (años)

Cau

dal

(m3/

s)

Qmax= 784.714

Determinación Caudal de Diseño

50 años

523.142 m3/s

1 10 100 10000

200

400

600

800

1000

1200

1400

T VS Q

Registro

Lebediev

Nash

Gamma

Gumbel I

Tiempo de Retorno (años)

Cau

dal

(m3/

s)