GENERAR CAUDALES LUTZ Dr Mejía.xls

GENERACION DE DESCARGAS PARA EN EL RIO MUYLO-MICROCUENCA MUYLO METODO PROPUESTO POR LA MISION TECNICA ALEMANA - 1980

Cuadro N° 6.1: Precipitación Efectiva según el Bureao of Reclamation P mm 0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0 110.0 120.0 130.0 140.0 150.0 160.0 170.0 180.0

P. Efectiva: PE (mm) Curva I 0.0 0.0 0.0 0.0 0.5 1.0 1.5 3.0 4.0 5.5 8.0 11.0 15.0 19.0 24.0 30.0 37.0 45.0 55.0

Curva II Curva III 0.0 1.0 2.0 3.0 4.0 6.0 8.0 10.0 14.0 18.0 23.0 29.0 36.0 43.0 52.0 60.0 69.0 79.0 89.0

0.0 2.0 4.0 6.0 8.0 11.0 14.0 18.0 24.0 30.0 39.0 48.0 58.0 68.0 78.0 88.0 98.0 108.0 118.0

Figura 6.1: Porción de Precipitación Efectiva Efectiva Según Bureao Of Reclamation

140.0

) m 120.0 m ( a v 100.0 i t c e 80.0 f E n ó 60.0 i c a t 40.0 i p i c e 20.0 r P

0.0

0.0 0.0

20.0 20.0

40.0 40.0

60.0 60.0

80.0 80.0

100. 100.0 0 120. 120.0 0 140. 140.0 0 160. 160.0 0 180. 180.0 0

Precipitación Mensual (mm) Curva I

Curva II

Curva III

Cuadro N° 6.2: Cálculo del Coeficiente de Escorrentía Método de la Misión Alemana Precipitación Media Anual: P Evaporación Total Anual: ETP

Coeficiente de Escorrentía: C

Método de L - Turc 735.7

mm

1002.2

mm

Temperatura Media Anual: T Coeficiente de Temperatura: L Déficit de Escurrimiento: D

473.1

Coeficiente de Escorrentía: C

0.45

0.63

Cuadro N° 6.3: Características Generales de la Microcuenca Area de la Microcuenca: A Altitud Media de la Microcuenca: H Pendiente Media de la Microcuenca Precipitación Media Anual: P Evaporación Total Anual: ETP Temperatura Media Anual: T Déficit de Escurrimiento: D Coeficiente de Escorrentía: C Coeficiente de Agotamiento: a Relación de Caudales (30 días): bo Area de lagunas y acuíferos Gasto Mensual de Retención: R

112.2 12.27 7 Km2 Km2 4136 4136 msnm msnm 0.38 m/m 735.7 mm 1002.2 mm 6.4 °C 403.9 mm/año mm/año 0.45 0.0181 0.581 15 Km2 40.1 mm/año mm/año

6.4 403. 403.9 9

°C mm/a mm/año ño

Cuadro N° 6.4: Coeficientes de Cálculo - Precipitación Efectiva Coef.

a0 a1 a2 a3 a4 a5

Curva I

Curva II Curva III

-0.047000 -0.047000 -0.106500 -0.106500 -0.417700 -0.417700 0.0094 0.009400 00

0.1477 0.147700 00

0.37950 0.379500 0

-0.000500 -0.000500 -0.002900 -0.002900 -0.010100 -0.010100 0.0000 0.000020 20

0.0000 0.000050 50

0.00020 0.000200 0

-5.00E-08 -5.00E-08 -2.00E-07 -2.00E-07 -9.00E-07 -9.00E-07 2.00E2.00E-10 10

2.00E2.00E-10 10

1.00E1.00E-09 09

El rango de aplicación de los coeficientes de la ecuación Polinómica de la PE está comprendida para 0 < P < 250 mm

CUADRO CUADRO N° 6.5: GENERACION DE CAUDALES CAUDALES MEDIOS MENSUALES MENSUALES PARA PARA EL A O PROMEDIO

MES

PRECIPITACION MENSUAL N° P Efectiva días del Total PE II PE III m m / m e s m m / m e s m m/mes mes

1

2

Enero Febrero Marzo Abril Mayo Junio Julio Agosto Setiem. Octubre Noviem. Diciem.

3 30 28 31 30 31 30 31 31 30 31 30 31

AÑO

4

5

PE

CONTRIBUCION DE LA RETENCION Gasto Abastecimiento bi Gi ai Ai

mm/mes

6

mm/mes

7

8

9

CAUDALES GENERADOS

mm/mes

mm/mes

m3/s

10

11 11

12 12

115.5 113.1 92.4 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1

23.8 22.8 15.0 5.5 1.9 2.0 1.1 2.2 4.5 8.3 13.0 15.2

77.2 73.9 47.3 14.5 4.2 4.4 2.6 4.9 11.1 23.9 40.3 48.1

72.4 69.3 44.4 13.7 4.0 4.2 2.4 4.7 10.5 22.5 37.8 45.2

0.000 0.000 0.000 0.581 0.325 0.196 0. 0 .106 0.060 0.038 0.020 0.000 0.000

0.0 0.0 0.0 17.5 9.8 5.9 3.2 1.8 1.2 0.6 0.0 0.0

0.219 0.209 0.134 0.041 0.012 0.013 0.007 0.014 0.032 0.068 0.114 0.136

8.8 8.4 5.4 1.7 0.5 0.5 0.3 0.6 1.3 2.7 4.6 5.5

63.6 60.9 39.0 29.6 13.3 9.6 5.3 5.9 10.4 20.4 33.3 39.7

2.76 2.83 1.64 1.28 0.56 0.42 0.22 0.25 0.45 0.85 1.44 1.66

735.7

115.4

352.5

331.1

1.327

40.1

1.000

40.1

331.1

1.20

0.45

0.090

0.910

1.000

Coeficientes Fuente: Elaboración propia

CUADRO CUADRO N° 6.6: CALCULO DE LOS COEFICIENTES COEFICIENTES DE CORRELACION CORRELACION PARA EL A O PROMEDIO Qt

Qt-1

PE

63.6 39.7 60.9 63.6 39.0 60.9 29.6 39.0 13.3 29.6 9.6 13.3 5.3 9.6 5.9 5.3 10.4 5.9 20.4 10.4 33.3 20.4 39.7 33.3 Fuente: Elaboración propia

72.4 69.3 44.4 13.7 4.0 4.2 2.4 4.7 10.5 22.5 37.8 45.2

Resultado de la regresión Constante Error típico de est Y R cuadrado Nº de observaciones Grados de libertad

3.6206 3.8917 0.9661 12 9

Coef Coefic icie ient nte es X 0.23 0.2384 84 Error Error típico típico del coe 0.0899 0.0899

0.63 0.6303 03 0.0712 0.0712

CUADRO N° 6.7: PRECIPITACION EFECTIVA MENSUAL GENERADA (m.m) - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :

Año 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999

Ene.

LATITUD : LONGITUD : ALTITUD MEDIA :

JUNIN TARMA TARMA

Feb.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

Set.

Oct.

11°24' -11°33' 75°45' - 75°54' 4,136 msnm

Nov.

Dic.

Tot.

37.3 66.4 42.1 92.3 56.8 65.9 38.6 57.0 61.1 82.2 60.8 68.6 77.0 85.3 88.2 94.6 71.5 122.5 38.0 34.5 60.0 66.6 80.3 40.0 57.1 72.4 85.4

65.3 62.9 68.5 64.3 45.0 75.2 69.2 80.7 85.8 97.2 15.2 58.0 74.2 90.4 59.3 65.5 66.5 28.7 36.9 32.7 54.3 75.0 72.0 50.8 77.4 52.3 113.0

93.4 41.9 55.4 40.5 28.7 32.1 72.1 44.1 42.2 37.6 43.0 34.3 55.8 77.1 34.2 38.7 56.6 21.4 63.7 19.9 53.3 41.3 40.1 32.7 29.1 31.0 57.6

29.4 16.1 10.3 10.0 18.8 12.8 22.0 3.0 6.7 15.4 8.2 22.4 17.8 41.4 7.0 29.0 18.6 14.4 12.5 11.1 14.8 34.4 20.7 22.6 11.4 12.4 26.5

3.7 0.2 5.5 5.4 3.8 2.3 2.9 5.4 1.6 0.1 0.5 1.4 2.5 5.0 5.2 1.7 1.5 7.4 6.1 4.2 2.4 4.4 1.6 1.9 1.8 1.6 2.4

3.4 4.7 1.1 6.2 0.5 1.6 0.1 1.6 0.6 4.6 8.7 5.5 5.4 0.1 3.3 0.0 1.0 19.9 6.7 7.1 7.6 0.4 0.0 0.0 0.2 0.1 0.9

3.0 0.1 0.4 1.8 1.6 2.3 0.4 3.0 0.0 0.4 0.6 0.3 1.4 2.7 5.3 0.2 0.3 2.0 0.4 1.3 2.2 0.0 1.8 0.0 0.3 0.0 3.1

8.1 7.8 7.0 3.9 0.4 1.9 1.2 3.7 13.3 3.6 4.4 3.2 1.2 8.9 4.6 0.0 9.7 9.7 0.0 2.2 4.3 2.1 0.7 1.3 6.5 0.0 1.2

14.8 4.8 18.0 28.0 5.4 20.4 2.5 6.9 11.2 18.5 13.8 6.8 12.4 17.6 13.5 11.0 16.0 17.5 27.0 20.3 13.5 13.2 7.6 3.8 24.2 0.8 13.4

47.6 10.1 25.9 10.6 7.5 27.5 28.2 30.3 40.1 43.2 23.9 28.5 15.2 16.6 25.2 32.8 28.2 59.3 25.0 32.8 40.6 21.8 15.4 13.6 22.5 24.3 22.5

21.6 14.3 40.2 16.2 81.5 34.5 29.0 41.7 74.4 45.6 9.8 41.8 33.0 15.6 73.4 50.8 55.6 60.5 32.1 54.2 76.2 23.2 25.4 21.6 29.6 35.1 39.9

94.9 16.9 46.9 19.2 47.8 26.2 27.7 28.9 60.8 62.1 38.8 54.7 70.4 30.2 78.7 66.6 35.6 44.3 31.6 42.8 54.1 57.7 49.3 24.6 45.9 31.7 45.7

422.6 246.3 321.2 298.4 297.9 302.8 293.8 306.5 397.7 410.5 227.7 325.5 366.2 390.8 397.8 391.0 361.0 407.6 279.9 263.1 383.3 340.0 314.9 213.0 305.9 261.7 411.7

122.5

113.0

93.4

41.4

7.4

19.9

5.3

13.3

28.0

59.3

81.5

94.9

66.7

64.3

45.1

17.4

3.1

3.4

1.3

4.1

13.4

26.6

39.9

45.7

34.5 15.2 21.0 21.3 Fuente: Elaboración propia

19.9 17.2

3.0 9.0

0.1 1.9

0.0 4.3

0.0 1.3

0.0 3.6

0.8 7.2

7.5 12.0

9.8 20.2

16.9 18.7

422.6 331.1 213.0 61.4

MAX. MED. MIN. D.EST

CUADRO N° 6.8: NUMEROS ALEATORIOS GENERADOS CON DISTRIBUCION NORMAL PERIODO: 1973 - 1999 Año

Ene.

Feb.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

Set.

Oct.

Nov.

Dic.

-1.5966 0.0105 1.2152 0.4135 1.1343 1.2940 -0.5380 -0.0281 2.0798 1.5612 1.1253 -0.2910 -0.0233 1.0737 -0.1983 -0.6155 0.3218 -0.5111 0.2263 -2.8984 2.7165 0.9527 -0.9392 -1.3015 -0.1869 0.5839 -0.2743

0.0877 -1.2520 0.4687 0.7820 -1.8866 3.3463 0.7640 -0.0294 -0.5048 -0.4666 0.3445 1.2540 0.7413 -0.8534 -0.0991 0.5819 -0.4926 1.2570 0.9882 0.4776 -0.3105 0.5397 -1.2930 -0.8747 0.1235 0.5272 -1.4116

-2.3904 0.2171 -0.8456 -1.1063 2.0323 0.8647 -2.1026 1.3944 -0.5833 -0.5615 -0.2926 -0.3981 -2.4322 0.9921 -1.4990 0.9618 -0.1904 -0.3120 -0.1751 -3.2016 0.9035 -0.4790 -0.2745 0.5360 0.6896 0.5156 -0.4391

-0.7550 -0.5433 0.3683 -0.2680 1.0444 1.2500 -0.4054 1.3643 0.8015 -0.3720 2.2076 0.7117 -0.0054 0.6119 -0.3861 -0.2981 -1.4572 -0.5204 -0.4812 -0.3364 0.7106 -0.7509 -0.2154 0.9330 -0.5657 -0.6806 -1.9478

-0.4466 -0.3381 1.5782 -0.2134 0.9040 -1.1365 -0.6222 -0.0370 1.6967 0.0536 1.6588 0.1478 0.1338 0.8652 -0.2292 0.7943 -0.6208 -1.8799 0.3291 1.2483 -0.3804 0.0763 1.6186 -0.0735 -0.8743 0.9193 0.4749

-0.5589 -0.8931 -0.2601 0.3693 -0.2176 0.7473 -0.0107 1.6010 0.9477 -1.4942 1.8781 0.7956 -0.4700 0.7960 -1.0239 -0.8993 -0.3268 1.6165 1.0280 -0.1691 1.7623 1.0703 0.4031 0.0471 1.9618 1.1360 0.8444

0.5912 -0.0941 -2.9578 0.3989 1.3658 -0.1073 1.2196 -2.2418 2.9724 1.1692 -1.2175 -0.5205 1.3301 0.4671 -0.0141 0.8579 -0.1383 1.7021 0.1911 1.3768 -0.3663 -0.8323 -0.1998 0.1307 -0.2437 1.0753 -1.7578

-0.0289 0.2287 1.1470 -1.4225 -0.0089 -0.0938 0.3394 0.3014 0.2772 1.2333 2.4458 0.5992 0.4522 -1.5919 0.0807 2.2559 0.6889 -0.1901 0.7741 -0.4863 0.4761 -1.8798 0.8548 -1.3836 0.6130 -1.3536 0.2782

0.2563 1.4146 0.8752 -1.1822 0.6460 -0.8834 1.0837 -0.9036 -0.7543 -1.7584 0.2774 -0.5759 0.3454 0.1545 -0.4402 1.8038 0.3688 -1.6973 0.1678 0.5569 0.6188 -0.0859 -0.4938 0.5154 -0.3700 0.0180 -0.9800

-1.6837 0.1854 0.3940 1.2195 -0.1192 0.9089 -1.5326 -0.8080 1.2438 -0.4950 0.0868 0.8457 -0.7761 -0.2919 0.9030 -0.6143 -0.0544 0.3068 -0.1188 -0.7975 0.8545 -2.2105 2.3731 0.7651 -0.0862 0.3067 0.5708

-0.9332 0.4906 -0.0317 -0.7473 -0.1762 0.5041 -1.4284 0.9567 0.0612 -1.3314 -0.8268 -0.1815 1.7475 0.2908 -0.4385 1.8579 0.4862 0.8003 -1.0215 -0.7948 -0.9094 -2.0135 1.4402 -0.6483 -1.1250 -2.0816 1.4355

0.3884 -2.4223 -0.0639 0.1751 1.1980 0.0432 -2.0015 1.7862 3.3345 2.4762 1.6390 0.3038 1.0055 -0.7297 -0.4770 -0.7686 -0.1924 0.6873 -0.4340 -0.1910 1.3865 0.3222 0.2050 0.3117 2.8090 0.3229 1.1164

2.717

3.346

2.032

2.208

1.697

1.962

2.972

2.446

1.804

2.373

1.858

3.335

0.197

0.104

-0.303

0.001

0.209

0.396

0.154

0.171

-0.038

0.051

-0.171

0.453

-2.898 -1.887 1.180 1.063 Fuente: Elaboración propia

-3.202 1.243

-1.948 0.916

-1.880 0.909

-1.494 0.967

-2.958 1.267

-1.880 1.049

-1.758 0.886

-2.210 0.994

-2.082 1.092

-2.422 1.296

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999


CUADRO N° 6.9: DESCARGAS MEDIAS MENSUALES GENERADAS (mm) - RIO MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :


JUNIN TARMA TARMA

Coeficientes de Regresión Múltiple:

Modelo Matemático: Año

Ene.

Feb.

Mar.

b1 S

3.6206 3.8917

b2 R^2

b3

0.2384 0.9661

11°24' -11°33' 75°45' - 75°54' 4,136 msnm

0.6303

Qt = b1 + b2*Qt-1 + b3*PEt + Z*S*(1 - R^2)^0.5 Abr.

May.

Jun.

Jul.

Ago.

Set.

Oct.

Nov.

Dic.

Tot.

Prom.

58.7

56.5

39.6

32.8

12.5

8.9

4.3

5.4

13.0

24.0

35.0

40.2

331.1

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999

40.0 55.0 44.2 72.6 57.6 59.8 41.8 49.5 55.4 69.8 59.4 60.8 66.6 74.0 76.7 81.1 68.2 96.7 50.8 35.4 51.8 58.6 67.5 44.0 50.0 61.6 71.9

58.3 56.3 60.6 59.2 44.7 64.1 63.1 69.5 73.9 82.2 33.0 49.0 62.6 74.9 58.8 59.4 59.3 36.8 36.3 33.2 45.5 62.2 62.9 50.0 64.4 52.4 86.3

70.2 46.9 49.1 40.1 32.7 32.3 55.3 45.6 40.6 36.6 39.3 34.3 45.2 63.7 39.3 38.1 48.3 28.4 50.4 25.9 44.0 39.8 38.2 33.7 30.5 30.8 47.0

29.5 20.4 15.3 13.4 19.4 17.2 21.3 11.6 11.2 15.7 14.1 21.6 20.0 34.9 16.1 25.5 20.4 17.2 15.2 14.0 16.8 28.8 23.4 24.1 16.1 14.8 22.5

8.6 5.6 9.5 9.1 8.9 6.4 6.5 8.6 7.9 5.6 6.5 6.1 6.7 9.0 8.9 7.4 5.9 8.3 9.7 9.5 7.1 8.2 7.7 6.6 5.7 6.7 7.1

7.5 7.7 6.0 9.2 6.0 6.6 5.2 7.1 6.3 7.0 12.1 10.6 9.2 6.4 6.5 4.5 5.1 18.6 13.0 11.1 12.3 7.6 5.7 5.0 6.3 6.0 6.2

7.0 5.3 3.0 5.8 7.0 6.7 6.3 5.4 7.0 6.4 4.7 4.5 6.5 7.2 8.7 6.4 5.2 7.3 5.8 6.8 6.4 4.5 5.7 5.1 4.8 5.5 5.6

10.0 11.1 11.5 7.8 5.7 6.1 6.1 7.6 14.0 10.1 10.6 8.6 6.8 9.7 8.9 7.4 12.0 12.5 7.1 6.3 8.2 5.5 6.0 4.9 9.3 4.9 5.7

16.2 11.5 18.3 24.8 13.4 19.0 10.5 9.8 12.5 17.0 16.5 11.4 14.4 18.2 16.2 15.7 17.7 17.7 25.0 22.8 18.0 16.2 11.9 9.2 20.8 9.1 13.5

38.2 19.2 24.8 17.1 12.3 24.5 26.1 28.4 36.6 39.2 28.1 28.9 19.5 18.5 24.5 29.7 28.4 48.0 30.7 31.0 37.2 24.7 20.9 17.8 22.0 24.4 24.1

24.9 18.9 33.5 21.3 60.0 40.0 30.5 37.8 59.6 45.6 20.1 34.6 33.9 21.7 54.7 50.0 50.9 54.4 36.1 45.8 61.9 31.5 28.2 23.5 27.1 30.7 37.1

73.3 30.0 40.3 25.5 40.7 29.9 26.7 29.5 51.4 56.8 42.8 48.5 60.3 36.5 61.6 59.8 40.1 41.6 33.1 38.4 47.8 51.6 47.2 30.6 41.9 33.8 41.3

383.7 288.0 315.9 305.7 308.4 312.7 299.5 310.4 376.4 392.0 287.1 319.0 351.8 374.9 380.9 385.0 361.6 387.5 313.3 280.2 357.2 339.2 325.3 254.5 298.9 280.6 368.4

96.7

86.3

70.2

34.9

9.7

18.6

8.7

14.0

25.0

48.0

61.9

73.3

392.0

60.0

57.7

41.7

19.3

7.5

8.0

5.9

8.3

15.8

26.8

37.6

43.0

331.8


25.9 10.3

11.2 5.7

5.6 1.3

4.5 3.2

3.0 1.2

4.9 2.5

9.1 4.4

12.3 8.0

18.9 13.2

25.5 12.0

254.5 40.2


CUADRO N° 6.10: DESCARGAS MEDIAS MENSUALES GENERADAS (m3/s) - RIO MUYLO

PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO : Area

Año


JUNIN TARMA TARMA

11°24' -11°33' 75°45' - 75°54' 4,136 msnm

112.27 Km2

Ene.

Feb.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

Set.

Oct.

Nov.

Dic.

Prom.

30

28

31

30

31

30

31

31

30

31

30

31

(m3/s)

1.731 2.384 1.913 3.145 2.494 2.590 1.811 2.143 2.401 3.022 2.572 2.633 2.885 3.206 3.324 3.512 2.955 4.189 2.199 1.533 2.245 2.540 2.926 1.906 2.165 2.668 3.116

2.707 2.613 2.810 2.746 2.077 2.974 2.928 3.227 3.430 3.815 1.533 2.273 2.906 3.477 2.728 2.755 2.754 1.707 1.686 1.543 2.113 2.885 2.920 2.321 2.991 2.430 4.007

2.944 1.967 2.059 1.681 1.373 1.353 2.317 1.911 1.704 1.534 1.646 1.440 1.895 2.671 1.646 1.595 2.023 1.189 2.114 1.084 1.846 1.668 1.601 1.415 1.278 1.292 1.969

1.276 0.885 0.661 0.580 0.842 0.746 0.923 0.502 0.483 0.680 0.612 0.935 0.866 1.512 0.696 1.106 0.883 0.743 0.660 0.607 0.729 1.245 1.013 1.043 0.699 0.641 0.973

0.362 0.234 0.399 0.382 0.371 0.267 0.274 0.358 0.330 0.235 0.271 0.257 0.283 0.377 0.373 0.311 0.248 0.350 0.406 0.398 0.299 0.342 0.324 0.278 0.239 0.280 0.296

0.324 0.336 0.258 0.399 0.258 0.286 0.226 0.305 0.275 0.303 0.524 0.457 0.398 0.279 0.282 0.196 0.220 0.804 0.564 0.481 0.533 0.327 0.247 0.217 0.274 0.261 0.268

0.293 0.221 0.126 0.241 0.292 0.279 0.265 0.228 0.295 0.268 0.195 0.190 0.274 0.302 0.364 0.270 0.219 0.308 0.241 0.286 0.268 0.191 0.238 0.212 0.202 0.232 0.236

0.419 0.464 0.483 0.328 0.240 0.258 0.254 0.319 0.588 0.424 0.443 0.361 0.284 0.407 0.372 0.308 0.502 0.522 0.299 0.266 0.342 0.232 0.251 0.206 0.391 0.204 0.241

0.702 0.498 0.793 1.073 0.580 0.824 0.456 0.426 0.541 0.737 0.717 0.495 0.623 0.790 0.701 0.680 0.767 0.766 1.082 0.986 0.781 0.702 0.516 0.399 0.900 0.393 0.587

1.600 0.805 1.039 0.717 0.516 1.029 1.095 1.190 1.533 1.643 1.177 1.211 0.819 0.777 1.029 1.246 1.191 2.012 1.288 1.301 1.560 1.033 0.877 0.744 0.921 1.023 1.008

1.080 0.820 1.449 0.921 2.597 1.734 1.319 1.639 2.580 1.975 0.870 1.500 1.470 0.941 2.371 2.166 2.206 2.358 1.563 1.983 2.681 1.366 1.220 1.018 1.173 1.329 1.607

3.073 1.258 1.688 1.067 1.706 1.253 1.121 1.237 2.153 2.380 1.795 2.033 2.526 1.530 2.581 2.505 1.683 1.744 1.389 1.609 2.006 2.163 1.977 1.281 1.755 1.417 1.731

1.376 1.040 1.140 1.107 1.112 1.133 1.082 1.124 1.359 1.418 1.029 1.149 1.269 1.356 1.372 1.388 1.304 1.391 1.124 1.006 1.284 1.225 1.176 0.920 1.082 1.014 1.337

4.189

4.007

2.944

1.512

0.406

0.804

0.364

0.588

1.082

2.012

2.681

3.073

1.418

2.600

2.680

1.749

0.835

0.316

0.345

0.249

0.348

0.686

1.125

1.627

1.802

1.197


1.084 0.433

0.483 0.248

0.234 0.056

0.196 0.138

0.126 0.048

0.204 0.105

0.393 0.191

0.516 0.333

0.820 0.572

1.067 0.505

0.920 0.145

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999


CUADRO N° 6.11: ANALISIS DE FRECUENCIA DE DESCARGAS GENERADAS (m3/s) - RIO MUYLO

PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :

Orden 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

Ene.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

11°24' -11°33' 75°45' - 75°54' 4,136 msnm

Set.

Oct.

Nov.

Dic.

4.007 3.815 3.477 3.430 3.227 2.991 2.974 2.928 2.920 2.906 2.885 2.810 2.755 2.754 2.746 2.728 2.707 2.613 2.430 2.321 2.273 2.113 2.077 1.707 1.686 1.543 1.533

2.944 2.671 2.317 2.114 2.059 2.023 1.969 1.967 1.911 1.895 1.846 1.704 1.681 1.668 1.646 1.646 1.601 1.595 1.534 1.440 1.415 1.373 1.353 1.292 1.278 1.189 1.084

1.512 1.276 1.245 1.106 1.043 1.013 0.973 0.935 0.923 0.885 0.883 0.866 0.842 0.746 0.743 0.729 0.699 0.696 0.680 0.661 0.660 0.641 0.612 0.607 0.580 0.502 0.483

0.406 0.399 0.398 0.382 0.377 0.373 0.371 0.362 0.358 0.350 0.342 0.330 0.324 0.311 0.299 0.296 0.283 0.280 0.278 0.274 0.271 0.267 0.257 0.248 0.239 0.235 0.234

0.804 0.564 0.533 0.524 0.481 0.457 0.399 0.398 0.336 0.327 0.324 0.305 0.303 0.286 0.282 0.279 0.275 0.274 0.268 0.261 0.258 0.258 0.247 0.226 0.220 0.217 0.196

0.364 0.308 0.302 0.295 0.293 0.292 0.286 0.279 0.274 0.270 0.268 0.268 0.265 0.241 0.241 0.238 0.236 0.232 0.228 0.221 0.219 0.212 0.202 0.195 0.191 0.190 0.126

0.588 0.522 0.502 0.483 0.464 0.443 0.424 0.419 0.407 0.391 0.372 0.361 0.342 0.328 0.319 0.308 0.299 0.284 0.266 0.258 0.254 0.251 0.241 0.240 0.232 0.206 0.204

1.082 1.073 0.986 0.900 0.824 0.793 0.790 0.781 0.767 0.766 0.737 0.717 0.702 0.702 0.701 0.680 0.623 0.587 0.580 0.541 0.516 0.498 0.495 0.456 0.426 0.399 0.393

2.012 1.643 1.600 1.560 1.533 1.301 1.288 1.246 1.211 1.191 1.190 1.177 1.095 1.039 1.033 1.029 1.029 1.023 1.008 0.921 0.877 0.819 0.805 0.777 0.744 0.717 0.516

2.681 2.597 2.580 2.371 2.358 2.206 2.166 1.983 1.975 1.734 1.639 1.607 1.563 1.500 1.470 1.449 1.366 1.329 1.319 1.220 1.173 1.080 1.018 0.941 0.921 0.870 0.820

3.073 2.581 2.526 2.505 2.380 2.163 2.153 2.033 2.006 1.977 1.795 1.755 1.744 1.731 1.706 1.688 1.683 1.609 1.530 1.417 1.389 1.281 1.258 1.253 1.237 1.121 1.067

3.022 2.974 2.572 2.754 2.165 2.273 1.795 1.658 2.600 2.680 Fuente: Elaboración propia

1.969 1.668 1.415 1.260 1.749

0.973 0.746 0.660 0.564 0.835

0.371 0.311 0.271 0.239 0.316

0.399 0.286 0.258 0.220 0.345

0.286 0.241 0.219 0.190 0.249

0.424 0.328 0.254 0.227 0.348

0.790 0.702 0.516 0.421 0.686

1.288 1.039 0.877 0.739 1.125

2.166 1.500 1.173 0.911 1.627

2.153 1.731 1.389 1.214 1.802

P(25%) P(50%) P(75%) P(90%) MED.

4.189 3.512 3.324 3.206 3.145 3.116 3.022 2.955 2.926 2.885 2.668 2.633 2.590 2.572 2.540 2.494 2.401 2.384 2.245 2.199 2.165 2.143 1.913 1.906 1.811 1.731 1.533

Feb.


JUNIN TARMA TARMA

Frec. 3.6 7.1 10.7 14.3 17.9 21.4 25.0 28.6 32.1 35.7 39.3 42.9 46.4 50.0 53.6 57.1 60.7 64.3 67.9 71.4 75.0 78.6 82.1 85.7 89.3 92.9 96.4

Figura 6.2: Variación Mensual de la Descarga para Cuatro Niveles de Persistencia - Río Muylo 3.2 3.0 2.8 ) 2.6 s / 2.4 3 2.2 m 2.0 1.8 ( l 1.6 a 1.4 d 1.2 u 1.0 a C 0.8 0.6 0.4 0.2 0.0 Ene.

Feb.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

Set.

Oct.

Mes P(50%)

P(75%)

P(90%)

P(25%)

Nov.

Dic.

CUADRO N° ##: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA CHUMBAO PERIODO: 1970 - 1998 DEPARTAMENTO: PROVINCIA : DISTRITO :

APURIMAC ANDAHUAYLAS SAN JERONIMO

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. 1973 64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 1974 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 1975 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 1976 159.7 1 13.1 83.1 30.6 31.3 34.9 14.0 20.7 1977 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 1978 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 1979 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 1980 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 1981 105.8 150.8 86.4 20.3 9.3 3.3 0.0 70.4 1982 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 1983 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 1984 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 1985 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 1986 147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 1987 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 1988 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 1989 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 1990 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 1991 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 1992 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 1993 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 1994 115.3 1 31.9 84.6 1 04.8 25.9 2.1 0.0 11.0 1995 139.0 126.6 82.2 63.2 9.3 0.0 13.7 3.7 1996 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 1997 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 1998 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 1999 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 MAX. MED. MIN. D.EST

212.0 115.5 59.7 36.4

198.7 113.1 26.7 37.4

191.4 92.5 40.7 35.2

126.2 53.1 9.3 27.4

43.2 17.9 0.7 11.4

112.4 19.1 0.0 24.5

41.4 10.0 0.0 10.4

70.4 21.7 0.0 19.0

LATITUD : 13°39' LONGITUD : 73°22' ALTITUD MEDIA : 4,119 msnm factor 1.464 Set. Oct. Nov. Dic. Tot. 50.0 121.9 46.7 193.3 979.6 16.1 25.8 30.9 34.4 538.0 60.9 66.2 86.8 95.4 725.6 94.8 27.2 34.9 39.1 6 83.4 18.3 19.1 176.0 97.4 644.0 69.1 70.4 74.5 53.4 669.4 8.6 72.1 62.7 56.3 629.5 23.4 77.6 90.0 58.9 674.1 38.0 102.7 160.5 123.8 871.3 62.8 110.5 98.4 126.4 884.2 46.6 61.1 21.2 79.1 532.9 23.0 73.0 90.2 111.3 715.1 41.9 38.9 71.3 143.3 789.9 59.6 42.5 33.6 61.5 885.6 45.9 64.4 158.4 160.2 892.0 37.2 84.0 109.6 135.7 825.2 54.2 72.1 120.0 72.4 799.8 59.4 151.8 130.5 90.2 1004.5 91.5 63.9 69.2 64.3 664.7 68.7 83.9 116.9 87.2 635.2 45.9 103.9 164.4 110.1 874.9 44.9 55.8 50.0 117.4 7 43.7 25.7 39.5 54.8 100.4 658.1 12.8 34.9 46.7 50.0 457.2 81.9 57.6 63.9 93.5 674.0 2.6 62.2 75.7 64.5 534.0 45.5 57.7 86.1 93.1 877.2 94.8 45.5 2.6 24.3

151.8 68.2 19.1 30.8

176.0 86.1 21.2 43.7

193.3 1004.5 93.1 735.7 34.4 457.2 38.2 142.5

CUADRO N° ##: NUMEROS ALEATORIOS ENTRE 0 Y 1 CON DISTRIBUCION UNIFORME PERIODO: 1973 - 1999 Año 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999

Ene.

Feb.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

Set.

Oct.

Nov.

Dic.

Tot.

0.9210 0.1954 0.3013 0.7762 0.6737 0.3863 0.8766 0.6766 0.7540 0.3348 0.1593 0.3690 0.1604 0.2093 0.0318 0.7779 0.1789 0.1848 0.4796 0.8801 0.1390 0.6368 0.4389 0.7235 0.4290 0.4965 0.6396 0.8493 0.9210

0.8096 0.9661 0.9089 0.5575 0.3090 0.4196 0.5478 0.0938 0.8951 0.7344 0.4976 0.9696 0.7451 0.7024 0.5854 0.8440 0.6833 0.0090 0.0870 0.8477 0.9880 0.2714 0.9504 0.6401 0.0748 0.7653 0.1853 0.8665 0.9880

0.9063 0.9273 0.5971 0.7663 0.4109 0.8463 0.0837 0.2738 0.7675 0.0163 0.4236 0.6561 0.7327 0.7471 0.5134 0.5379 0.7461 0.0266 0.4405 0.9920 0.1343 0.1671 0.0986 0.9411 0.3108 0.4609 0.9444 0.8411 0.9920

0.7790 0.0460 0.0695 0.4887 0.9786 0.6647 0.7701 0.4505 0.4820 0.1242 0.9460 0.6110 0.0459 0.2775 0.9308 0.3927 0.3909 0.2447 0.5147 0.9081 0.2249 0.1130 0.1314 0.2032 0.8283 0.5625 0.3275 0.8425 0.9786

0.8899 0.2233 0.9217 0.9374 0.9188 0.4230 0.5260 0.8292 0.5036 0.0517 0.9855 0.3825 0.6306 0.3291 0.4970 0.4385 0.7976 0.2807 0.0387 0.0377 0.1599 0.7399 0.4825 0.8745 0.3822 0.9144 0.1176 0.6215 0.9855

0.4619 0.5963 0.2295 0.0742 0.8578 0.9090 0.7905 0.7877 0.0104 0.5014 0.7752 0.9074 0.4255 0.5262 0.4534 0.3149 0.4046 0.2259 0.4633 0.4017 0.3905 0.8267 0.7367 0.6392 0.5041 0.8932 0.2159 0.4525 0.9090

0.4119 0.8484 0.6558 0.8358 0.6958 0.7842 0.6737 0.5457 0.7387 0.7690 0.9869 0.4814 0.6324 0.5946 0.9735 0.4679 0.7431 0.6186 0.1765 0.3875 0.9474 0.8226 0.1359 0.8180 0.1978 0.9324 0.7944 0.2408 0.9869

0.6705 0.8783 0.9152 0.8687 0.6922 0.9330 0.6463 0.0881 0.4775 0.4364 0.0575 0.7239 0.6601 0.7794 0.2420 0.2157 0.1637 0.5476 0.8859 0.9351 0.1691 0.7346 0.9434 0.0795 0.7830 0.7217 0.4852 0.1892 0.9434

0.0799 0.8204 0.3119 0.8028 0.1284 0.9188 0.1370 0.3602 0.9031 0.2495 0.0472 0.9578 0.8454 0.6388 0.6350 0.8929 0.4895 0.9764 0.3882 0.8923 0.8077 0.2707 0.9754 0.3518 0.1139 0.0053 0.4380 0.7602 0.9764

0.3204 0.7261 0.9062 0.8105 0.7612 0.7667 0.7659 0.2051 0.0813 0.4434 0.4538 0.4635 0.0864 0.8871 0.0654 0.8798 0.2156 0.1257 0.5385 0.8619 0.7071 0.1892 0.9835 0.4874 0.4951 0.9364 0.0369 0.6470 0.9835

0.2987 0.4054 0.7981 0.0794 0.7307 0.4655 0.0395 0.7943 0.7471 0.6310 0.0310 0.2082 0.0468 0.5241 0.4857 0.9706 0.3477 0.2867 0.3379 0.8101 0.1273 0.3178 0.8855 0.2907 0.6795 0.1073 0.6195 0.8691 0.9706

0.3972 0.3169 0.1984 0.9393 0.0234 0.5909 0.3064 0.4619 0.5675 0.1293 0.4875 0.4313 0.4491 0.7183 0.5343 0.3001 0.4298 0.2935 0.9095 0.1070 0.4653 0.7881 0.6912 0.0708 0.9638 0.1998 0.3139 0.3132 0.9638

0.2739 0.8299 0.4146 0.2970 0.2760 0.9603 0.5905 0.0374 0.3447 0.1210 0.5356 0.5077 0.4279 0.7194 0.2084 0.6597 0.4802 0.5172 0.4408 0.7855 0.0839 0.0949 0.3878 0.0257 0.5823 0.6650 0.4604 0.5768

1999 MAX. MED. 0.4752 0.5959 0.5359 0.4632 0.5301 0.5305 0.6544 0.5827 0.5348 0.5259 0.4469 0.4476 MIN. 0.0318 0.0090 0.0163 0.0459 0.0377 0.0104 0.1359 0.0575 0.0053 0.0369 0.0310 0.0234 D.EST 0.2690 0.3121 0.3140 0.3041 0.3146 0.2595 0.2390 0.2996 0.3383 0.3157 0.2882 0.2617

0.960

6.323 0.026 0.248

CUADRO N° ##: PRECIPITACION TOTAL MENSUAL (m.m) ESTACION LA OROYA DEPARTAMENTO: PROVINCIA : DISTRITO :

Año 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999


Ene. 49.3 87.9 55.7 122.0 75.2 87.1 51.0 75.3 80.8 108.7 80.4 90.7 101.8 112.8 116.7 125.1 94.5 162.0 50.2 45.6 79.4 88.1 106.2 52.9 75.6 95.7 112.9 162.0 88.3 45.6 27.8

Feb. 87.7 84.5 92.0 86.4 60.4 101.0 93.0 108.4 115.2 130.6 20.4 77.9 99.7 121.4 79.6 88.0 89.3 38.6 49.5 43.9 72.9 100.8 96.7 68.2 104.0 70.3 151.8 151.8 86.4 20.4 28.6

JUNIN YAULI LA OROYA

Mar. 146.2 65.6 86.7 63.5 45.0 50.3 112.9 69.1 66.0 58.8 67.4 53.8 87.3 120.8 53.5 60.6 88.7 33.5 99.8 31.1 83.5 64.6 62.8 51.3 45.5 48.6 90.2 146.2 70.6 31.1 26.9

isoyeta

LATITUD : LONGITUD : ALTITUD :

Abr. 68.6 37.6 24.1 23.4 43.9 29.9 51.3 7.1 15.5 35.8 19.2 52.1 41.5 96.4 16.3 67.6 43.3 33.5 29.1 25.9 34.6 80.1 48.3 52.6 26.6 28.9 61.8 96.4 40.6 7.1 20.9

May. 16.6 1.1 24.4 23.9 17.1 10.2 13.0 24.1 7.1 0.5 2.2 6.0 11.1 22.2 23.4 7.8 6.9 33.0 27.1 18.9 10.7 19.8 7.1 8.6 8.0 7.3 10.7 33.0 13.7 0.5 8.7

Jun. 14.6 20.4 4.6 26.7 2.0 7.1 0.2 7.1 2.5 20.0 37.3 23.8 23.1 0.4 14.3 0.0 4.2 85.9 29.0 30.8 32.6 1.6 0.0 0.0 0.7 0.5 3.7 85.9 14.6 0.0 18.7

650 700 750 800 850 900 950

Jul. 18.0 0.6 2.2 10.7 9.4 13.7 2.2 18.0 0.0 2.4 3.6 1.6 8.4 16.0 31.6 1.4 1.5 11.9 2.4 7.9 13.3 0.0 10.5 0.0 1.5 0.0 18.4 31.6 7.7 0.0 8.0

Ago.

Set.

32.7 31.5 28.4 15.8 1.5 7.9 4.7 15.0 53.8 14.5 17.8 13.1 5.0 36.0 18.5 0.0 39.1 39.2 0.0 8.7 17.3 8.4 2.8 5.4 26.2 0.0 4.9 53.8 16.6 0.0 14.5

38.2 12.3 46.5 72.4 14.0 52.8 6.6 17.9 29.0 48.0 35.6 17.6 32.0 45.5 35.1 28.4 41.4 45.4 69.9 52.5 35.1 34.3 19.6 9.8 62.6 2.0 34.8 72.4 34.8 2.0 18.6

1.65 1070.7 58.33 40832.9 93.51 70130.1 65.75 52596.4 26.99 22938.2 41.42 37281.6 24.76 23519.6 312.4 2E+05

795

Oct. 93.1 19.7 50.6 20.8 14.6 53.8 55.1 59.3 78.5 84.4 46.7 55.8 29.7 32.5 49.2 64.2 55.1 116.0 48.8 64.1 79.4 42.6 30.2 26.7 44.0 47.5 44.1 116.0 52.1 14.6 23.5

Nov. 35.7 23.6 66.3 26.7 134.5 56.9 47.9 68.8 122.6 75.2 16.2 68.9 54.5 25.7 121.0 83.7 91.7 99.7 52.9 89.3 125.6 38.2 41.9 35.7 48.8 57.8 65.8 134.5 65.8 16.2 33.4

11°31' 75°54' 3,160 msnm

Dic. 147.7 26.3 72.9 29.9 74.4 40.8 43.0 45.0 94.6 96.6 60.4 85.0 109.5 47.0 122.4 103.7 55.3 68.9 49.1 66.6 84.1 89.7 76.7 38.2 71.4 49.3 71.1 147.7 71.1 26.3 29.2

Tot. 748.4 411.1 554.4 522.2 492.0 511.5 480.9 515.1 665.6 675.5 407.2 546.3 603.6 676.7 681.6 630.5 611.0 767.6 507.8 485.3 668.5 568.2 502.8 349.4 514.9 407.9 670.2 767.6 562.1 349.4 108.9

CUADRO N° 5.6: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :


JUNIN TARMA TARMA

11°24' -11°33' 75°45' - 75°54' 4,136 msnm

factor

Año 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999

Ene.

Feb.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

Set.

Oct.

Nov.

Dic.

Tot.

114.8 110.6 120.4 113.1 79.1 132.2 121.7 141.9 150.8 170.9 26.7 102.0 130.5 158.9 104.2 115.2 116.9 50.5 64.8 57.5 95.4 131.9 126.6 89.3 136.1 92.0 198.7

191.4 85.9 113.5 83.1 58.9 65.8 147.8 90.4 86.4 77.0 88.2 70.4 114.3 158.1 70.0 79.3 116.1 43.8 130.6 40.7 109.3 84.6 82.2 67.1 59.6 63.6 118.1

89.8 49.2 31.5 30.6 57.5 39.1 67.1 9.3 20.3 46.9 25.1 68.2 54.3 126.2 21.3 88.5 56.7 43.8 38.1 33.9 45.3 104.8 63.2 68.8 34.8 37.8 80.9

21.7 1.4 31.9 31.3 22.4 13.4 17.0 31.5 9.3 0.7 2.9 7.9 14.5 29.1 30.6 10.2 9.0 43.2 35.5 24.7 14.0 25.9 9.3 11.3 10.5 9.6 14.0

19.1 26.7 6.0 34.9 2.6 9.3 0.3 9.3 3.3 26.2 48.8 31.2 30.2 0.5 18.7 0.0 5.5 112.4 38.0 40.3 42.7 2.1 0.0 0.0 0.9 0.7 4.8

23.6 0.8 2.9 14.0 12.3 17.9 2.9 23.6 0.0 3.1 4.7 2.1 11.0 20.9 41.4 1.8 2.0 15.6 3.1 10.3 17.4 0.0 13.7 0.0 2.0 0.0 24.1

42.8 41.2 37.2 20.7 2.0 10.3 6.2 19.6 70.4 19.0 23.3 17.1 6.5 47.1 24.2 0.0 51.2 51.3 0.0 11.4 22.6 11.0 3.7 7.1 34.3 0.0 6.4

50.0 16.1 60.9 94.8 18.3 69.1 8.6 23.4 38.0 62.8 46.6 23.0 41.9 59.6 45.9 37.2 54.2 59.4 91.5 68.7 45.9 44.9 25.7 12.8 81.9 2.6 45.5

121.9 25.8 66.2 27.2 19.1 70.4 72.1 77.6 102.7 110.5 61.1 73.0 38.9 42.5 64.4 84.0 72.1 151.8 63.9 83.9 103.9 55.8 39.5 34.9 57.6 62.2 57.7

46.7 30.9 86.8 34.9 176.0 74.5 62.7 90.0 160.5 98.4 21.2 90.2 71.3 33.6 158.4 109.6 120.0 130.5 69.2 116.9 164.4 50.0 54.8 46.7 63.9 75.7 86.1

193.3 34.4 95.4 39.1 97.4 53.4 56.3 58.9 123.8 126.4 79.1 111.3 143.3 61.5 160.2 135.7 72.4 90.2 64.3 87.2 110.1 117.4 100.4 50.0 93.5 64.5 93.1

979.6 538.1 725.6 683.5 644.0 669.5 629.4 674.2 871.2 884.1 533.0 715.0 790.0 885.7 892.1 825.2 799.7 1004.7 664.6 635.2 875.0 743.7 658.1 457.3 673.9 533.9 877.2

212.0 198.7 115.5 113.1 59.7 26.7 36.4 37.4 Fuente: Elaboración propia

191.4 92.4 40.7 35.2

126.2 53.1 9.3 27.4

43.2 17.9 0.7 11.4

112.4 19.1 0.0 24.5

41.4 10.0 0.0 10.4

70.4 21.7 0.0 19.0

94.8 45.5 2.6 24.3

151.8 68.2 19.1 30.8

176.0 86.1 21.2 43.7

193.3 93.1 34.4 38.2

1004.7 735.7 457.3 142.5


64.5 115.0 72.9 159.7 98.4 114.0 66.8 98.6 105.8 142.3 105.2 118.7 133.2 147.6 152.7 163.7 123.7 212.0 65.7 59.7 103.9 115.3 139.0 69.2 98.9 125.3 147.8

1.3089

CUADRO N° 5.7: ANALISIS DE FRECUENCIAS DE PRECIPITACION - MICROCUENCA MUYLO PERIODO: 1973 - 1999 DEPARTAMENTO: PROVINCIA : DISTRITO :

Orden 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

Ene.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

Set.

Oct.

11°24' -11°33' 75°45' - 75°54' 4,136 msnm

Nov.

Dic.

198.7 170.9 158.9 150.8 141.9 136.1 132.2 131.9 130.5 126.6 121.7 120.4 116.9 115.2 114.8 113.1 110.6 104.2 102.0 95.4 92.0 89.3 79.1 64.8 57.5 50.5 26.7

191.4 158.1 147.8 130.6 118.1 116.1 114.3 113.5 109.3 90.4 88.2 86.4 85.9 84.6 83.1 82.2 79.3 77.0 70.4 70.0 67.1 65.8 63.6 59.6 58.9 43.8 40.7

126.2 104.8 89.8 88.5 80.9 68.8 68.2 67.1 63.2 57.5 56.7 54.3 49.2 46.9 45.3 43.8 39.1 38.1 37.8 34.8 33.9 31.5 30.6 25.1 21.3 20.3 9.3

43.2 35.5 31.9 31.5 31.3 30.6 29.1 25.9 24.7 22.4 21.7 17.0 14.5 14.0 14.0 13.4 11.3 10.5 10.2 9.6 9.3 9.3 9.0 7.9 2.9 1.4 0.7

112.4 48.8 42.7 40.3 38.0 34.9 31.2 30.2 26.7 26.2 19.1 18.7 9.3 9.3 6.0 5.5 4.8 3.3 2.6 2.1 0.9 0.7 0.5 0.3 0.0 0.0 0.0

41.4 24.1 23.6 23.6 20.9 17.9 17.4 15.6 14.0 13.7 12.3 11.0 10.3 4.7 3.1 3.1 2.9 2.9 2.1 2.0 2.0 1.8 0.8 0.0 0.0 0.0 0.0

70.4 51.3 51.2 47.1 42.8 41.2 37.2 34.3 24.2 23.3 22.6 20.7 19.6 19.0 17.1 11.4 11.0 10.3 7.1 6.5 6.4 6.2 3.7 2.0 0.0 0.0 0.0

94.8 91.5 81.9 69.1 68.7 62.8 60.9 59.6 59.4 54.2 50.0 46.6 45.9 45.9 45.5 44.9 41.9 38.0 37.2 25.7 23.4 23.0 18.3 16.1 12.8 8.6 2.6

151.8 121.9 110.5 103.9 102.7 84.0 83.9 77.6 73.0 72.1 72.1 70.4 66.2 64.4 63.9 62.2 61.1 57.7 57.6 55.8 42.5 39.5 38.9 34.9 27.2 25.8 19.1

176.0 164.4 160.5 158.4 130.5 120.0 116.9 109.6 98.4 90.2 90.0 86.8 86.1 75.7 74.5 71.3 69.2 63.9 62.7 54.8 50.0 46.7 46.7 34.9 33.6 30.9 21.2

193.3 160.2 143.3 135.7 126.4 123.8 117.4 111.3 110.1 100.4 97.4 95.4 93.5 93.1 90.2 87.2 79.1 72.4 64.5 64.3 61.5 58.9 56.3 53.4 50.0 39.1 34.4

142.3 132.2 115.0 115.2 98.4 92.0 65.5 56.1 115.5 113.1 Fuente: Elaboración propia

114.3 84.6 67.1 55.9 92.4

68.2 46.9 33.9 21.1 53.1

29.1 14.0 9.3 2.6 17.9

31.2 9.3 0.9 0.0 19.1

17.4 4.7 2.0 0.0 10.0

37.2 19.0 6.4 0.0 21.7

60.9 45.9 23.4 12.0 45.5

83.9 64.4 42.5 26.9 68.2

116.9 75.7 50.0 33.1 86.1

117.4 93.1 61.5 47.8 93.1

P(25%) P(50%) P(75%) P(90%) MED.

212.0 163.7 159.7 152.7 147.8 147.6 142.3 139.0 133.2 125.3 123.7 118.7 115.3 115.0 114.0 105.8 105.2 103.9 98.9 98.6 98.4 72.9 69.2 66.8 65.7 64.5 59.7

Feb.


JUNIN TARMA TARMA

Frec. 3.6 7.1 10.7 14.3 17.9 21.4 25.0 28.6 32.1 35.7 39.3 42.9 46.4 50.0 53.6 57.1 60.7 64.3 67.9 71.4 75.0 78.6 82.1 85.7 89.3 92.9 96.4

Figura 5.4: Serie Histórica de Precipitación Generada - Microcuenca Muylo 250

200

) m m 150 ( n ó i c a t i p i c 100 e r P

50

0 1973

1986

1999

Tiempo (años)

Figura 5.5: Variación Mensual de la Precipitación para Cuatro Niveles de Persistencia - Microcuenca Muylo 150

125

) 100 m m ( n ó i c 75 a t i p i c e r P

50

25

0 Ene.

Feb.

Mar.

Abr.

May.

Jun.

Jul.

Ago.

Set.

Mes 25%

50%

75%

90%

Oct.

Nov.

Dic.

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. 1973

1974

1975

1976

64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 50.0 121.9 46.7 193.3 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 16.1 25.8 30.9 34.4 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 60.9 66.2 86.8 95.4 159.7 113.1 83.1 30.6 31.3 34.9

1973 64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 50.0 121.9 46.7 193.3

1974 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 16.1 25.8 30.9 34.4

1975 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 60.9 66.2 86.8 95.4

1976 159.7 113.1 83.1 30.6 31.3 34.9 14.0 20.7 94.8 27.2 34.9 39.1

1977 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 18.3 19.1 176.0 97.4

1978 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 69.1 70.4 74.5 53.4

1979 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 8.6 72.1 62.7 56.3

1980 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 23.4 77.6 90.0 58.9

1981 105.8 150.8 86.4 20.3 9.3 3.3 0.0 70.4 38.0 102.7 160.5 123.8

1982 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 62.8 110.5 98.4 126.4

1983 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 46.6 61.1 21.2 79.1

1977 142.5

1978

1979

1980

1981

14.0 20.7 94.8 27.2 34.9 39.1 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 18.3 19.1 176.0 97.4 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 69.1 70.4 74.5 53.4 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 8.6 72.1 62.7 56.3 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 23.4 77.6 90.0 58.9 105.8 150.8 86.4

1982

1983

1984

1985

20.3 9.3 3.3 0.0 70.4 38.0 102.7 160.5 123.8 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 62.8 110.5 98.4 126.4 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 46.6 61.1 21.2 79.1 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 23.0 73.0 90.2 111.3 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 41.9 38.9 71.3 143.3

1986

1987

1988

1989

1990

147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 59.6 42.5 33.6 61.5 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 45.9 64.4 158.4 160.2 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 37.2 84.0 109.6 135.7 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 54.2 72.1 120.0 72.4 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 59.4

1991

1992

1993

1994

1995

151.8 130.5 90.2 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 91.5 63.9 69.2 64.3 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 68.7 83.9 116.9 87.2 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 45.9 103.9 164.4 110.1 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 44.9 55.8 50.0 117.4 139.0 126.6 82.2 63.2 9.3 0.0

1996

1997

1998

1999

13.7 3.7 25.7 39.5 54.8 100.4 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 12.8 34.9 46.7 50.0 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 81.9 57.6 63.9 93.5 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 2.6 62.2 75.7 64.5 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 45.5 57.7 86.1 93.1

1984 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 23.0 73.0 90.2 111.3

1985 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 41.9 38.9 71.3 143.3

1986 147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 59.6 42.5 33.6 61.5

1987 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 45.9 64.4 158.4 160.2

1988 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 37.2 84.0 109.6 135.7

1989 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 54.2 72.1 120.0 72.4

1990 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 59.4 151.8 130.5 90.2

1991 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 91.5 63.9 69.2 64.3

1992 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 68.7 83.9 116.9 87.2

1993 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 45.9 103.9 164.4 110.1

1994 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 44.9 55.8 50.0 117.4

1995 139.0 126.6 82.2 63.2 9.3 0.0 13.7 3.7 25.7 39.5 54.8 100.4

1996 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 12.8 34.9 46.7 50.0

1997 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 81.9 57.6 63.9 93.5

GENERAR CAUDALES LUTZ Dr Mejía.xls

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