Calculo Hidrologico Apurimac Final - Capacmarca

A.- Superficie o Area Topográfica (A)

CUADRO Nº 02.00.

CUENCA

46,465,700.00 46.466 4,646.57 33,618.90

3,655,940.00 3.66 365.59 13,267.00

2,404,610,755.33 2,404.61 240,461.08 267,327.64

1,998,850,978.75 1,998.85 199,885.10 235,442.47

2,008,717,278.28 2,008.72 200,871.73 194,568.32

B.- Perimetro (P)

CUADRO Nº 03.00.

CUENCA PERIMETRO (m)

33,618.90 33.62

13,267.00 13.27

267,327.64 267.33

235,442.47 235.44

194,568.32 194.57

AREA TOPOGRAFICA

(m2)

AREA TOPOGRAFIC

A (Km2)

AREA TOPOGRAFIC

A (Ha)

PERIMETRO (m)

CUENCA 01 RIO CULCHAMAYO

CUENCA 02 RIO CHAQUIMAYO

CUENCA 03 Valle de Salado

CUENCA 04 Valle de Oquero y Chaccomayo

CUENCA 05 Valle de Cayo Mani y Ornillos

PERIMETRO (Km)






C.- Caracteristicas y Altitud Media de las Cuenca (Hm)

CUADRO Nº 04.01.01.

COTA m.s.n.m.

2,800.00 7,472,639.79 0.003,000.00 30,429,144.13 7.47 7.47 0.653,250.00 319,014.50 30.43 37.90 2.653,250.00 47,148,260.33 0.32 38.22 0.033,500.00 119,120,280.33 47.15 85.37 4.113,750.00 508,408.73 119.12 204.49 10.393,750.00 305,559,137.33 0.51 205.00 0.044,000.00 1,425,023.66 305.56 510.56 26.644,000.00 294,485,119.76 1.43 511.98 0.124,250.00 11,796,280.09 294.49 806.47 25.684,250.00 206,199,316.27 11.80 818.26 1.034,500.00 39,185,047.55 206.20 1,024.46 17.984,500.00 76,803,214.08 39.19 1,063.65 3.424,750.00 6,354,429.94 76.80 1,140.45 6.704,800.00 6.35 1,146.81 0.55

TOTALES 1,146.81 100.00

GRAFICO Nº 01.01.

CUADRO Nº 04.01.2.ALTITUD MEDIA DE LA CUENCA 01 (Hm)

LIMITESa*e

INICIO FIN

2,800.00 3,000.00 7,472,639.79 2,900.00 21,670,655,391.003,000.00 3,250.00 30,429,144.13 3,125.00 95,091,075,406.253,250.00 3,350.00 319,014.50 3,300.00 1,052,747,850.003,250.00 3,500.00 47,148,260.33 3,375.00 159,125,378,613.753,500.00 3,750.00 119,120,280.33 3,625.00 431,811,016,196.253,750.00 3,850.00 508,408.73 3,800.00 1,931,953,174.003,750.00 4,000.00 305,559,137.33 3,875.00 1,184,041,657,153.754,000.00 4,150.00 1,425,023.66 4,075.00 5,806,971,414.504,000.00 4,250.00 294,485,119.76 4,125.00 1,214,751,119,010.004,250.00 4,300.00 11,796,280.09 4,275.00 50,429,097,384.754,250.00 4,500.00 206,199,316.27 4,375.00 902,122,008,681.254,500.00 4,700.00 39,185,047.55 4,600.00 180,251,218,730.004,500.00 4,750.00 76,803,214.08 4,625.00 355,214,865,120.004,750.00 4,800.00 6,354,429.94 4,775.00 30,342,402,963.50

At = 1,146,805,316.49 4,633,642,167,089.00

CUENCA 01: (Valle de Livitaca y Chacco)

AREA SOBRE COTA Zi (m2)

AREA ENTRE COTAS (Km2)

AREA ACUMULADA

(Km2)

% DE AREAS ENTRE COTAS AL AREA

TOTAL

FRECUENCIA DE ALTITUDES CUENCA 01 CURVA HIPSOMETRICA CUENCA 01

AREA ENTRE COTAS (m2)

ALTITUD MEDIA ENTRE DOS COTAS (m)

2800

3250

3500

3750

4000

4250

4500

0 50 100 150 200 250 300 350

7.4730.430.3247.15119.120.51305.561.43294.4911.80206.2039.1976.806.35

0200

400600

8001,000

1,2001,400

0

1000

2000

3000

4000

5000

6000

Hm= 4,040.48


COTA m.s.n.m.

3,180.00 5,308,820.48 0.003,250.00 20,888,426.79 5.31 5.31 0.283,500.00 69,822,192.15 20.89 26.20 1.103,750.00 629,425,134.29 69.82 96.02 3.684,000.00 66,453,285.68 629.43 725.44 33.214,000.00 613,796,262.00 66.45 791.90 3.514,250.00 30,333,717.98 613.80 1,405.69 32.384,250.00 288,363,785.17 30.33 1,436.03 1.604,500.00 31,204,333.53 288.36 1,724.39 15.214,500.00 129,881,663.73 31.20 1,755.60 1.654,750.00 10,009,150.28 129.88 1,885.48 6.854,860.00 10.01 1,895.49 0.53

TOTALES 1,895.49 100.00

GRAFICO Nº 01.02.


LIMITESa*e

INICIO FIN

3,180.00 3,250.00 5,308,820.48 3,215.00 17,067,857,843.203,250.00 3,500.00 20,888,426.79 3,375.00 70,498,440,416.253,500.00 3,750.00 69,822,192.15 3,625.00 253,105,446,543.753,750.00 4,000.00 629,425,134.29 3,875.00 2,439,022,395,373.754,000.00 4,180.00 66,453,285.68 4,090.00 271,793,938,431.204,000.00 4,250.00 613,796,262.00 4,125.00 2,531,909,580,750.004,250.00 4,400.00 30,333,717.98 4,325.00 131,193,330,263.504,250.00 4,500.00 288,363,785.17 4,375.00 1,261,591,560,118.754,500.00 4,650.00 31,204,333.53 4,575.00 142,759,825,899.754,500.00 4,750.00 129,881,663.73 4,625.00 600,702,694,751.254,750.00 4,860.00 10,009,150.28 4,805.00 48,093,967,095.40

At = 1,895,486,772.08 7,767,739,037,486.80

Hm= 4,098.02

CUENCA 02: (Valle de Huacra Huacho y Tacca)



AREA ACUMULADA

(Km2)


TOTAL




3180

3500

4000

4250

4500

4750

0 100 200 300 400 500 600 700

5.3120.8969.82629.4366.45613.8030.33288.3631.20129.8810.01

0200

400600

8001,000

1,2001,400

1,6001,800

2,0000

1000

2000

3000

4000

5000

6000


COTA m.s.n.m.

3,950.00 528,686,887.11 0.004,000.00 30,588,162.69 528.69 528.69 21.994,000.00 972,159,225.45 30.59 559.28 1.274,250.00 7,441,713.24 972.16 1,531.43 40.434,250.00 397,710,055.12 7.44 1,538.88 0.314,500.00 2,972,190.23 397.71 1,936.59 16.544,500.00 335,959,405.98 2.97 1,939.56 0.124,750.00 42,798,677.61 335.96 2,275.52 13.974,750.00 81,533,794.45 42.80 2,318.32 1.785,000.00 4,760,643.45 81.53 2,399.85 3.395,150.00 4.76 2,404.61 0.20

TOTALES 2,404.61 100.00

GRAFICO Nº 01.03.


LIMITESa*e

INICIO FIN

3,950.00 4,000.00 528,686,887.11 3,975.00 2,101,530,376,262.254,000.00 4,160.00 30,588,162.69 4,080.00 124,799,703,775.204,000.00 4,250.00 972,159,225.45 4,125.00 4,010,156,804,981.254,250.00 4,400.00 7,441,713.24 4,325.00 32,185,409,763.004,250.00 4,500.00 397,710,055.12 4,375.00 1,739,981,491,150.004,500.00 4,600.00 2,972,190.23 4,550.00 13,523,465,546.504,500.00 4,750.00 335,959,405.98 4,625.00 1,553,812,252,657.504,750.00 4,950.00 42,798,677.61 4,850.00 207,573,586,408.504,750.00 5,000.00 81,533,794.45 4,875.00 397,477,247,943.755,000.00 5,150.00 4,760,643.45 5,075.00 24,160,265,508.75

At = 2,404,610,755.33 10,205,200,603,996.70

Hm= 4,244.01

CUENCA 03: (Valle de Salado)



AREA ACUMULADA

(Km2)


TOTAL




3950400040004250425045004500475047505000

0 200 400 600 800 1,000 1,200

528.6930.59972.167.44397.712.97335.9642.8081.534.76

0 500 1,000 1,500 2,000 2,500 3,0000

1000

2000

3000

4000

5000

6000


COTA m.s.n.m.

3,900.00 293,726,431.62 0.004,000.00 489,349,978.21 293.73 293.73 14.694,250.00 4,552,761.28 489.35 783.08 24.484,250.00 467,749,804.38 4.55 787.63 0.234,500.00 2,591,677.01 467.75 1,255.38 23.404,500.00 590,250,983.69 2.59 1,257.97 0.134,750.00 72,507,516.91 590.25 1,848.22 29.534,750.00 77,193,420.56 72.51 1,920.73 3.635,000.00 928,405.09 77.19 1,997.92 3.865,150.00 0.93 1,998.85 0.05

TOTALES 1,998.85 100.00

GRAFICO Nº 01.04.


LIMITES

a*eINICIO FIN

3,900.00 4,000.00 293,726,431.62 3,950.00 1,160,219,404,899.004,000.00 4,250.00 489,349,978.21 4,125.00 2,018,568,660,116.254,250.00 4,350.00 4,552,761.28 4,300.00 19,576,873,504.004,250.00 4,500.00 467,749,804.38 4,375.00 2,046,405,394,162.504,500.00 4,650.00 2,591,677.01 4,575.00 11,856,922,320.754,500.00 4,750.00 590,250,983.69 4,625.00 2,729,910,799,566.254,750.00 4,850.00 72,507,516.91 4,800.00 348,036,081,168.004,750.00 5,000.00 77,193,420.56 4,875.00 376,317,925,230.005,000.00 5,150.00 928,405.09 5,075.00 4,711,655,831.75

At = 1,998,850,978.75 8,715,603,716,798.50

Hm= 4,360.31

CUENCA 04: (Valle de Oquero y Chaccomayo)



AREA ACUMULADA

(Km2)


TOTAL




3900

4000

4250

4250

4500

4500

4750

4750

5000

0 100 200 300 400 500 600 700

293.73

489.35

4.55

467.75

2.59

590.25

72.51

77.19

0.93

0 500 1,000 1,500 2,000 2,5000

1000

2000

3000

4000

5000

6000


COTA m.s.n.m.

3,900.00 628,638.71 0.004,000.00 195,380,249.97 0.63 0.63 0.034,250.00 665,234,678.70 195.38 196.01 9.734,500.00 7,733,253.13 665.23 861.24 33.124,500.00 675,402,700.66 7.73 868.98 0.384,750.00 21,021,041.26 675.40 1,544.38 33.624,750.00 349,202,607.08 21.02 1,565.40 1.055,000.00 6,320,280.29 349.20 1,914.60 17.385,000.00 87,793,828.48 6.32 1,920.92 0.315,200.00 87.79 2,008.72 4.37

TOTALES 2,008.72 100.00

GRAFICO Nº 01.05.


LIMITES

a*eINICIO FIN

3,900.00 4,000.00 628,638.71 3,950.00 2,483,122,904.504,000.00 4,250.00 195,380,249.97 4,125.00 805,943,531,126.254,250.00 4,500.00 665,234,678.70 4,375.00 2,910,401,719,312.504,500.00 4,650.00 7,733,253.13 4,575.00 35,379,633,069.754,500.00 4,750.00 675,402,700.66 4,625.00 3,123,737,490,552.504,750.00 4,900.00 21,021,041.26 4,825.00 101,426,524,079.504,750.00 5,000.00 349,202,607.08 4,875.00 1,702,362,709,515.005,000.00 5,180.00 6,320,280.29 5,090.00 32,170,226,676.105,000.00 5,200.00 87,793,828.48 5,100.00 447,748,525,248.00

At = 2,008,717,278.28 9,161,653,482,484.10

Hm= 4,560.95

CUENCA 05: (Valle de Cayo Mani y Ornillos)



AREA ACUMULADA

(Km2)


TOTAL




3900

4000

4250

4500

4500

4750

4750

5000

5000

0 100 200 300 400 500 600 700 800

0.63

195.38

665.23

7.73

675.40

21.02

349.20

6.32

87.79

0 500 1,000 1,500 2,000 2,5000

1000

2000

3000

4000

5000

6000

CUADRO Nº 04.00.

RESUMEN DE ALTITUD MEDIA DE CUENCA

CUENCA ALTITUD MEDIA

3,789.11 m.s.n.m.

4,125.00 m.s.n.m.

4,244.01 m.s.n.m.

4,360.31 m.s.n.m.

4,560.95 m.s.n.m.


COTA m.s.n.m.

3,900.00 628,638.71 0.004,000.00 195,380,249.97 0.63 0.63 0.034,250.00 665,234,678.70 195.38 196.01 9.734,500.00 7,733,253.13 665.23 861.24 33.124,500.00 675,402,700.66 7.73 868.98 0.384,750.00 21,021,041.26 675.40 1,544.38 33.624,750.00 349,202,607.08 21.02 1,565.40 1.055,000.00 6,320,280.29 349.20 1,914.60 17.385,000.00 87,793,828.48 6.32 1,920.92 0.315,200.00 87.79 2,008.72 4.37

TOTALES 2,008.72 100.00

GRAFICO Nº 01.05.


LIMITESa*e

INICIO FIN3,900.00 4,000.00 628,638.71 3,950.00 2,483,122,904.50






CUENCA 05: (Valle de Cayo Mani y Ornillos)



AREA ACUMULADA

(Km2)


TOTAL




3900

4000

4250

4500

4500

4750

4750

5000

5000

0 100 200 300 400 500 600 700 800

0.63

195.38

665.23

7.73

675.40

21.02

349.20

6.32

87.79

0 500 1,000 1,500 2,000 2,5000

1000

2000

3000

4000

5000

6000

4,000.00 4,250.00 195,380,249.97 4,125.00 805,943,531,126.254,250.00 4,500.00 665,234,678.70 4,375.00 2,910,401,719,312.504,500.00 4,650.00 7,733,253.13 4,575.00 35,379,633,069.754,500.00 4,750.00 675,402,700.66 4,625.00 3,123,737,490,552.504,750.00 4,900.00 21,021,041.26 4,825.00 101,426,524,079.504,750.00 5,000.00 349,202,607.08 4,875.00 1,702,362,709,515.005,000.00 5,180.00 6,320,280.29 5,090.00 32,170,226,676.105,000.00 5,200.00 87,793,828.48 5,100.00 447,748,525,248.00

At = 2,008,717,278.28 9,161,653,482,484.10

Hm= 4,560.95

ALTITUD MEDIA DE LA CUENCA 03 (Hm)LIMITES

INICIO FIN1 2650.000 2742.497 29.885 2,696.252 2742.525 2834.993 43.502 2,788.763 2835.037 2927.490 67.507 2,881.264 2927.503 3019.994 98.588 2,973.755 3020.009 3112.496 120.349 3,066.256 3112.503 3205.000 156.364 3,158.757 3205.001 3297.499 157.378 3,251.258 3297.502 3390.000 175.165 3,343.759 3390.000 3482.498 167.237 3,436.25

10 3482.502 3575.000 224.616 3,528.7511 3575.000 3667.500 302.835 3,621.2512 3667.502 3760.000 367.892 3,713.7513 3760.000 3852.499 410.473 3,806.2514 3852.500 3944.996 400.193 3,898.7515 3945.000 4037.495 425.021 3,991.2516 4037.500 4130.000 390.006 4,083.7517 4130.000 4222.498 447.806 4,176.2518 4222.501 4314.999 471.924 4,268.7519 4315.000 4407.497 167.458 4,361.2520 4407.539 4500.000 22.369 4,453.77

At = 4,646.57

Hm= 3,789.11 ALTITUD MEDIA1.00 2.00 3.00

ALTITUD m.s.n.m Areas Parciales Km2 Areas Acumuladas Km2

1.00 2,650.00 2,742.50 0.000 0.0002.00 2,742.50 2,835.00 0.299 0.2993.00 2,835.00 2,927.50 0.435 0.7344.00 2,927.50 3,020.00 0.675 1.4095.00 3,020.00 3,112.50 0.986 2.3956.00 3,112.50 3,205.00 1.203 3.5987.00 3,205.00 3,297.50 1.564 5.1628.00 3,297.50 3,390.00 1.574 6.7369.00 3,390.00 3,482.50 1.752 8.487

10.00 3,482.50 3,575.00 1.672 10.16011.00 3,575.00 3,667.50 2.246 12.40612.00 3,667.50 3,760.00 3.028 15.43413.00 3,760.00 3,852.50 3.679 19.11314.00 3,852.50 3,945.00 4.105 23.21815.00 3,945.00 4,037.50 4.002 27.22016.00 4,037.50 4,130.00 4.250 31.47017.00 4,130.00 4,222.50 3.900 35.37018.00 4,222.50 4,315.00 4.478 39.84819.00 4,315.00 4,407.50 4.719 44.56720.00 4,407.50 4,500.00 1.675 46.242

4,500.00 0.224 46.466

AREA ENTRE COTAS (Has)

ALTITUD MEDIA ENTRE DOS COTAS

(m)

At = 46.466


2650

2743

2835

2928

3020

3113

3205

3298

3390

3483

3575

3668

3760

3853

3945

4038

4130

4223

4315

4408

0 2 4 6 8 10 12

0.64

0.94

1.45

2.12

2.59

3.37

3.39

3.77

3.60

4.83

6.52

7.92

8.83

8.61

9.15

8.39

9.64

10.16

3.60

0.48

D.-Pendiente Media de la Cuenca o Pendiente Superficial (PMS)

PA: Punto más Alto de la cuenca (Elevación máxima de la cuenca en mts.)PI: Punto de Interés (Cota del punto donde se ubicarán las obras de drenaje en mts.)A: Superficie o Area Topográfica de la cuenca

CUADRO Nº 05.00.CUENCA A (m2) A (Km2) PA PI PMS

46,465,700.00 46.47 4,500.00 2,650.00 0.27

3,655,940.00 3.66 4,860.00 3,180.00 0.88

2,404,610,755.33 2,404.61 5,150.00 3,950.00 0.02

1,998,850,978.75 1,998.85 5,150.00 3,900.00 0.03

2,008,717,278.28 2,008.72 5,200.00 3,900.00 0.03

E.-Longitud del Cauce (L)

CUADRO Nº 06.00.CUENCA PROG. L (m) L (Km)

13+729.00 13,729.00 13.729

93+288.05 93,288.05 93.288

103+696.42 103,696.42 103.696

54+814.23 54,814.23 54.814

69+365.89 69,365.89 69.366

334.894

F.-Pendiente Media del Cauce (S)

PH: Punto Hidráulicamente Más Alto (Elevación máxima del cauce en m)PI: Punto de Interés (Cota del punto donde se ubicarán las obras de drenaje en m)L: Longitud del Cauce

CUADRO Nº 07.00.CUENCA PROGRESIVA L (m) PH PI S

0+ 13729.00 13729.00 4500.00 2650.00 0.135

0+ 93288.05 93288.05 4860.000 3180.00 0.018

0+ 103696.42 103696.42 4950.000 3950.00 0.010

0+ 54814.23 54814.23 4900.000 3900.00 0.018

0+ 69365.89 69365.89 5150.000 3900.00 0.018
















PMS=PA−PI

√A

S=PH−PIL

CUADRO Nº 09.01.

INFORMACION DE PRECIPITACION SENAMHI

ESTACION: PERAYOC LATITUD 12° 54' "S" DPTO. CUSCO

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 72° 35' "W" PROV. CUSCO

ALTITUD 3299.00 M.S.N.M. DIST. CUSCOFUENTE : MINISTERIO DE DEFENSA

SERVICIO NACIONAL DE

METEOROLOGIA E HIDROLOGIA SENAMHI

Nº AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL

1 1996 133.31 101.79 69.65 31.70 5.58 0.00 0.00 5.39 16.44 50.21 55.70 126.62 596.40

2 1997 126.01 130.74 106.40 30.82 2.48 0.00 0.00 6.16 13.55 40.24 146.71 138.19 741.30

3 1998 120.06 142.04 17.67 30.82 0.88 0.00 0.00 0.87 11.37 35.89 53.41 70.05 483.07

4 1999 97.90 95.46 92.69 38.84 0.73 0.00 0.00 0.00 25.76 21.72 50.11 116.19 539.39

5 2000 188.94 144.18 122.16 17.15 1.38 0.93 1.01 3.66 12.91 43.66 42.47 87.64 666.10

6 2001 219.17 174.98 141.34 42.37 6.33 0.00 19.31 9.15 16.84 35.89 84.43 93.27 843.09

7 2002 135.52 186.18 114.87 24.43 8.18 0.00 31.39 2.70 12.76 64.67 85.03 126.01 791.74

8 2003 160.49 135.32 152.59 48.08 1.08 1.32 0.00 19.84 10.14 33.26 40.13 119.46 721.71

9 2004 168.81 128.89 65.36 23.47 1.28 10.35 12.59 8.00 17.27 26.85 62.85 92.13 617.85

10 2005 39.13 95.46 122.91 41.15 1.68 0.00 0.00 3.18 10.46 36.46 61.89 102.26 514.57

CUADRO Nº 09.02.


ESTACION: KAYRA LATITUD 13° 34' "S" DPTO. CUSCO


ALTITUD 3219.00 M.S.N.M. DIST. SAN JERONIMOFUENTE : MINISTERIO DE DEFENSA




1 1996 126.30 94.48 68.67 32.82 12.82 0.00 0.00 8.41 20.90 57.31 48.49 127.52 597.73

2 1997 118.23 122.36 100.86 31.60 7.00 0.00 0.00 9.16 14.04 44.17 190.60 141.79 779.82

3 1998 111.66 133.25 23.15 31.60 4.00 4.28 0.00 4.00 8.88 38.45 44.92 57.78 461.97

4 1999 87.16 88.38 88.85 42.67 3.72 5.69 3.44 0.00 42.95 19.77 39.76 114.66 537.06

5 2000 187.78 135.31 114.66 12.73 4.94 7.94 5.03 6.72 12.54 48.68 27.84 79.46 643.65

6 2001 221.19 164.97 131.46 47.55 14.23 0.00 18.83 12.07 21.83 38.45 93.36 86.41 850.37

7 2002 128.74 175.77 108.28 22.77 17.70 4.85 27.94 5.78 12.17 76.37 94.29 126.77 801.43

8 2003 156.34 126.77 141.32 55.44 4.38 8.51 0.00 22.49 5.97 34.97 24.18 118.70 699.06

9 2004 165.53 120.58 64.92 21.46 4.75 21.74 13.76 10.95 22.87 26.53 59.66 85.00 617.74

10 2005 22.21 88.38 115.32 45.86 5.50 2.87 3.63 6.25 6.72 39.20 58.16 97.49 491.60

CUADRO Nº 09.03.


ESTACION: SICUANI LATITUD 14° 17' "S" DPTO. CUSCO

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 71° 13' "W" PROV. CANCHIS

ALTITUD 3574.00 M.S.N.M. DIST. SICUANIFUENTE : MINISTERIO DE DEFENSA




1 1996 101.00 129.00 96.00 0.00 10.00 0.00 0.00 7.00 16.00 21.00 72.00 125.00 577.00

2 1997 145.00 138.00 114.00 8.00 4.00 0.00 28.00 26.00 10.00 5.00 8.00 33.00 519.00

3 1998 94.00 90.00 52.00 3.00 0.00 0.00 1.00 48.00 42.00 23.00 33.00 149.00 535.00

4 1999 155.00 88.00 107.00 106.00 1.00 0.00 10.00 5.00 54.00 5.00 21.00 145.00 697.00

5 2000 145.00 85.00 127.00 80.00 10.00 0.00 1.00 23.00 49.00 59.00 68.00 137.00 784.00

6 2001 118.00 91.00 86.00 3.00 0.00 0.00 0.00 40.00 26.00 110.00 96.00 149.00 719.00

7 2002 150.00 62.00 103.00 19.00 1.00 0.00 14.00 35.00 5.00 17.00 103.00 106.00 615.00

8 2003 108.00 208.00 132.00 53.00 1.00 1.00 2.00 1.00 39.00 35.00 96.00 76.00 752.00

9 2004 234.00 101.00 179.00 54.00 0.00 1.00 5.00 2.00 6.00 22.00 49.00 84.00 737.00

10 2005 128.00 114.00 174.00 53.00 24.00 0.00 0.00 9.00 79.00 106.00 108.00 129.00 924.00

CUADRO Nº 09.04.

DATOS DE PRECIPITACION MENSUALES COMPLETADAS

ESTACION: ZURITE LATITUD 13° 27' "S" DPTO. CUSCO

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 72° 16' "W" PROV. ANTA

ALTITUD 3391.00 M.S.N.M. DIST. ZURITEFUENTE : MINISTERIO DE DEFENSA




1 1996 159.24 125.27 138.76 37.81 11.15 0.00 0.00 8.20 22.02 60.74 76.78 151.06 791.03

2 1997 150.34 158.60 129.24 36.92 4.46 0.00 0.00 9.05 19.26 54.38 197.56 164.88 924.68

3 1998 143.09 171.62 152.21 36.92 1.01 1.40 0.00 3.25 17.18 51.61 73.75 83.53 735.56

4 1999 116.08 117.98 132.79 45.05 0.68 2.53 3.25 0.00 30.89 42.58 69.36 138.61 699.80

5 2000 227.05 174.08 125.16 23.06 2.08 4.35 5.51 6.31 18.65 56.56 59.23 104.53 806.58

6 2001 263.90 209.55 120.20 48.63 12.76 0.00 25.10 12.31 22.39 51.61 114.91 111.25 992.63

7 2002 161.94 222.45 127.05 30.44 16.76 1.85 38.03 5.25 18.50 69.95 115.71 150.33 958.26

8 2003 192.37 163.87 117.29 54.42 1.44 4.80 0.00 24.01 16.01 49.93 56.12 142.52 822.78

9 2004 202.51 156.47 139.87 29.47 1.87 15.47 17.91 11.05 22.81 45.85 86.27 109.89 839.44

10 2005 44.44 117.98 124.97 47.39 2.73 0.26 3.51 5.78 16.31 51.98 85.00 121.98 622.33

CUADRO Nº 10.01.


ESTACION: PERAYOC LATITUD 12° 54' "S" DPTO. CUSCO


ALTITUD 3299.00 M.S.N.M. DIST. CUSCOFUENTE : MINISTERIO DE DEFENSA




1 1996 133.31 101.79 69.65 31.70 5.58 0.00 0.00 5.39 16.44 50.21 55.70 126.62 596.40

2 1997 126.01 130.74 106.40 30.82 2.48 0.00 0.00 6.16 13.55 40.24 146.71 138.19 741.30

3 1998 120.06 142.04 17.67 30.82 0.88 0.00 0.00 0.87 11.37 35.89 53.41 70.05 483.07

4 1999 97.90 95.46 92.69 38.84 0.73 0.00 0.00 0.00 25.76 21.72 50.11 116.19 539.39

5 2000 188.94 144.18 122.16 17.15 1.38 0.93 1.01 3.66 12.91 43.66 42.47 87.64 666.10

6 2001 219.17 174.98 141.34 42.37 6.33 0.00 19.31 9.15 16.84 35.89 84.43 93.27 843.09

7 2002 135.52 186.18 114.87 24.43 8.18 0.00 31.39 2.70 12.76 64.67 85.03 126.01 791.74

8 2003 160.49 135.32 152.59 48.08 1.08 1.32 0.00 19.84 10.14 33.26 40.13 119.46 721.71

9 2004 168.81 128.89 65.36 23.47 1.28 10.35 12.59 8.00 17.27 26.85 62.85 92.13 617.85

10 2005 39.13 95.46 122.91 41.15 1.68 0.00 0.00 3.18 10.46 36.46 61.89 102.26 514.57

NRO. DATOS 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00

SUMATORIA 1389.32 1335.04 1005.63 328.82 29.62 12.61 64.30 58.95 147.49 388.85 682.75 1071.84 6515.22

PROMEDIO 138.93 133.50 100.56 32.88 2.96 1.26 6.43 5.90 14.75 38.88 68.27 107.18 651.52

V. MAXIMA 219.17 186.18 152.59 48.08 8.18 10.35 31.39 19.84 25.76 64.67 146.71 138.19 843.09

V. MINIMA 39.13 95.46 17.67 17.15 0.73 0.00 0.00 0.00 10.14 21.72 40.13 70.05 483.07

D.ESTANDAR 47.44 29.35 38.34 9.18 2.56 3.06 10.51 5.41 4.41 11.46 29.89 20.32 115.51

VARIANZA 2500.80 957.16 1633.47 93.58 7.28 10.44 122.70 32.50 21.63 145.88 992.36 458.94 14826.10

C.V. 0.34 0.22 0.38 0.28 0.86 2.43 1.63 0.92 0.30 0.29 0.44 0.19 0.18

0 f m a m j j a s o n c 1 f m a m j j a s o n c 2 f m a m j j a s o n c 3 f m a m j j a s o n c 4 f m a m j j a s o n c 5 f m a m j j a s o n c 6 f m a m j j a s o n c 7 f m a m j j a s o n c 8 f m a m j j a s o n c 9 f m a m j j a s o n c

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CUADRO Nº 10.02.


ESTACION: KAYRA LATITUD 13° 34' "S" DPTO. CUSCO


ALTITUD 3219.00 M.S.N.M. DIST. SAN JERONIMOFUENTE : MINISTERIO DE DEFENSA




1 1996 126.30 94.48 68.67 32.82 12.82 0.00 0.00 8.41 20.90 57.31 48.49 127.52 597.73

2 1997 118.23 122.36 100.86 31.60 7.00 0.00 0.00 9.16 14.04 44.17 190.60 141.79 779.82

3 1998 111.66 133.25 23.15 31.60 4.00 4.28 0.00 4.00 8.88 38.45 44.92 57.78 461.97

4 1999 87.16 88.38 88.85 42.67 3.72 5.69 3.44 0.00 42.95 19.77 39.76 114.66 537.06

5 2000 187.78 135.31 114.66 12.73 4.94 7.94 5.03 6.72 12.54 48.68 27.84 79.46 643.65

6 2001 221.19 164.97 131.46 47.55 14.23 0.00 18.83 12.07 21.83 38.45 93.36 86.41 850.37

7 2002 128.74 175.77 108.28 22.77 17.70 4.85 27.94 5.78 12.17 76.37 94.29 126.77 801.43

8 2003 156.34 126.77 141.32 55.44 4.38 8.51 0.00 22.49 5.97 34.97 24.18 118.70 699.06

9 2004 165.53 120.58 64.92 21.46 4.75 21.74 13.76 10.95 22.87 26.53 59.66 85.00 617.74

10 2005 22.21 88.38 115.32 45.86 5.50 2.87 3.63 6.25 6.72 39.20 58.16 97.49 491.60

NRO. DATOS 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00

SUMATORIA 1325.15 1250.25 957.50 344.49 79.06 55.88 72.63 85.85 168.88 423.90 681.26 1035.59 6480.43

PROMEDIO 132.51 125.02 95.75 34.45 7.91 5.59 7.26 8.58 16.89 42.39 68.13 103.56 648.04

V. MAXIMA 221.19 175.77 141.32 55.44 17.70 21.74 27.94 22.49 42.95 76.37 190.60 141.79 850.37

V. MINIMA 22.21 88.38 23.15 12.73 3.72 0.00 0.00 0.00 5.97 19.77 24.18 57.78 461.97

D.ESTANDAR 52.43 28.27 33.58 12.67 4.80 6.15 9.20 5.68 10.45 15.10 46.66 25.06 126.22

VARIANZA 3054.66 888.00 1253.15 178.42 25.64 42.03 94.14 35.88 121.28 253.27 2419.28 697.57 17701.52

C.V. 0.40 0.23 0.35 0.37 0.61 1.10 1.27 0.66 0.62 0.36 0.68 0.24 0.19


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GRAFICO Nº 02.02. HISTOGRAMA ESTACION KAYRA


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CUADRO Nº 10.03.


ESTACION: SICUANI LATITUD 14° 17' "S" DPTO. CUSCO

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 71° 13' "W" PROV. CANCHIS

ALTITUD 3574.00 M.S.N.M. DIST. SICUANIFUENTE : MINISTERIO DE DEFENSA




1 1996 101.00 129.00 96.00 0.00 10.00 0.00 0.00 7.00 16.00 21.00 72.00 125.00 577.00

2 1997 145.00 138.00 114.00 8.00 4.00 0.00 28.00 26.00 10.00 5.00 8.00 33.00 519.00

3 1998 94.00 90.00 52.00 3.00 0.00 0.00 1.00 48.00 42.00 23.00 33.00 149.00 535.00

4 1999 155.00 88.00 107.00 106.00 1.00 0.00 10.00 5.00 54.00 5.00 21.00 145.00 697.00

5 2000 145.00 85.00 127.00 80.00 10.00 0.00 1.00 23.00 49.00 59.00 68.00 137.00 784.00

6 2001 118.00 91.00 86.00 3.00 0.00 0.00 0.00 40.00 26.00 110.00 96.00 149.00 719.00

7 2002 150.00 62.00 103.00 19.00 1.00 0.00 14.00 35.00 5.00 17.00 103.00 106.00 615.00

8 2003 108.00 208.00 132.00 53.00 1.00 1.00 2.00 1.00 39.00 35.00 96.00 76.00 752.00

9 2004 234.00 101.00 179.00 54.00 0.00 1.00 5.00 2.00 6.00 22.00 49.00 84.00 737.00

10 2005 128.00 114.00 174.00 53.00 24.00 0.00 0.00 9.00 79.00 106.00 108.00 129.00 924.00

NRO. DATOS 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00

SUMATORIA 1378.00 1106.00 1170.00 379.00 51.00 2.00 61.00 196.00 326.00 403.00 654.00 1133.00 6859.00

PROMEDIO 137.80 110.60 117.00 37.90 5.10 0.20 6.10 19.60 32.60 40.30 65.40 113.30 685.90

V. MAXIMA 234.00 208.00 179.00 106.00 24.00 1.00 28.00 48.00 79.00 110.00 108.00 149.00 924.00

V. MINIMA 94.00 62.00 52.00 0.00 0.00 0.00 0.00 1.00 5.00 5.00 8.00 33.00 519.00

D.ESTANDAR 38.02 38.75 36.54 35.00 7.31 0.40 8.60 16.29 23.04 36.87 34.26 36.40 119.18

VARIANZA 1605.73 1668.49 1483.33 1360.99 59.43 0.18 82.10 294.71 589.82 1510.46 1304.04 1472.23 15780.77

C.V. 0.28 0.35 0.31 0.92 1.43 2.00 1.41 0.83 0.71 0.91 0.52 0.32 0.17


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CUADRO Nº 10.04.


ESTACION: ZURITE LATITUD 13° 27' "S" DPTO. CUSCO

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 72° 16' "W" PROV. ANTA

ALTITUD 3391.00 M.S.N.M. DIST. ZURITEFUENTE : MINISTERIO DE DEFENSA




1 1996 159.24 125.27 138.76 37.81 11.15 0.00 0.00 8.20 22.02 60.74 76.78 151.06 791.03

2 1997 150.34 158.60 129.24 36.92 4.46 0.00 0.00 9.05 19.26 54.38 197.56 164.88 924.68

3 1998 143.09 171.62 152.21 36.92 1.01 1.40 0.00 3.25 17.18 51.61 73.75 83.53 735.56

4 1999 116.08 117.98 132.79 45.05 0.68 2.53 3.25 0.00 30.89 42.58 69.36 138.61 699.80

5 2000 227.05 174.08 125.16 23.06 2.08 4.35 5.51 6.31 18.65 56.56 59.23 104.53 806.58

6 2001 263.90 209.55 120.20 48.63 12.76 0.00 25.10 12.31 22.39 51.61 114.91 111.25 992.63

7 2002 161.94 222.45 127.05 30.44 16.76 1.85 38.03 5.25 18.50 69.95 115.71 150.33 958.26

8 2003 192.37 163.87 117.29 54.42 1.44 4.80 0.00 24.01 16.01 49.93 56.12 142.52 822.78

9 2004 202.51 156.47 139.87 29.47 1.87 15.47 17.91 11.05 22.81 45.85 86.27 109.89 839.44

10 2005 44.44 117.98 124.97 47.39 2.73 0.26 3.51 5.78 16.31 51.98 85.00 121.98 622.33

NRO. DATOS 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00

SUMATORIA 1660.97 1617.86 1307.54 390.12 54.94 30.67 93.31 85.21 204.02 535.20 934.68 1278.58 8193.08

PROMEDIO 166.10 161.79 130.75 39.01 5.49 3.07 9.33 8.52 20.40 53.52 93.47 127.86 819.31

V. MAXIMA 263.90 222.45 152.21 54.42 16.76 15.47 38.03 24.01 30.89 69.95 197.56 164.88 992.63

V. MINIMA 44.44 117.98 117.29 23.06 0.68 0.00 0.00 0.00 16.01 42.58 56.12 83.53 622.33

D.ESTANDAR 57.83 33.80 9.93 9.30 5.52 4.46 12.57 6.20 4.21 7.30 39.66 24.26 110.42

VARIANZA 3715.66 1269.31 109.46 96.19 33.87 22.13 175.53 42.72 19.65 59.24 1747.62 654.08 13547.43

C.V. 0.35 0.21 0.08 0.24 1.01 1.46 1.35 0.73 0.21 0.14 0.42 0.19 0.13


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PROMEDIO 166.10 161.79 130.75 39.01 5.49 3.07 9.33 8.52 20.40 53.52 93.47 127.86 819.31

g.-Analisis de Consistencia

CUADRO Nº 11.00.

CURVA DE DOBLE MASA

AÑOPERAYOC KAYRA SICUANI ZURITE TOTAL

PARCIAL ACUMULADO PARCIAL ACUMULADO PARCIAL ACUMULADO PARCIAL ACUMULADO PROMEDIO ACUMULADO

2000 49.70 49.70 49.81 49.81 48.08 48.08 65.92 65.92 53.38 53.38

2001 61.77 111.47 64.98 114.80 43.25 91.33 77.06 142.98 61.77 115.14

2002 40.26 151.73 38.50 153.29 44.58 135.92 61.30 204.27 46.16 161.30

2003 44.95 196.68 44.75 198.05 58.08 194.00 58.32 262.59 51.53 212.83

2004 55.51 252.19 53.64 251.69 65.33 259.33 67.22 329.80 60.42 273.25

2005 70.26 322.45 70.86 322.55 59.92 319.25 82.72 412.52 70.94 344.19

2006 65.98 388.42 66.79 389.34 51.25 370.50 79.86 492.38 65.97 410.16

2007 60.14 448.57 58.26 447.59 62.67 433.17 68.56 560.94 62.41 472.57

2008 51.49 500.05 51.48 499.07 61.42 494.58 69.95 630.90 58.58 531.15

2009 42.88 542.93 40.97 540.04 77.00 571.58 51.86 682.76 53.18 584.33

GRAFICO Nº 03.00. CURVA DE DOBLE MASA ESTACIONES METEOROLOGICAS

0.00 100.00 200.00 300.00 400.00 500.00 600.00 700.00 800.00 0.00

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300.00

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PERAYOC KAYRA SICUANI ZURITE

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PROMEDIO

49.70

61.77

40.26

44.95

55.51

70.26

65.98

60.14

51.49

42.88



PROMEDIO

49.81

64.98

38.50

44.75

53.64

70.86

66.79

58.26

51.48

40.97



PROMEDIO

48.08

43.25

44.58

58.08

65.33

59.92

51.25

62.67

61.42

77.00



PROMEDIO

65.92

77.06

61.30

58.32

67.22

82.72

79.86

68.56

69.95

51.86



PROMEDIO

49.70

61.77

40.26

44.95

55.51

70.26

65.98

60.14

51.49

42.88

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54.29

70.26

40.26

9.63

102.96

0.18



PROMEDIO

49.81

64.98

38.50

44.75

53.64

70.86

66.79

58.26

51.48

40.97

10.00

540.04

54.00

70.86

38.50

10.52

122.93

0.19



PROMEDIO

48.08

43.25

44.58

58.08

65.33

59.92

51.25

62.67

61.42

77.00

10.00

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57.16

77.00

43.25

9.93

109.59

0.17



PROMEDIO

65.92

77.06

61.30

58.32

67.22

82.72

79.86

68.56

69.95

51.86

10.00

682.76

68.28

82.72

51.86

9.20

94.08

0.13

CUADRO Nº 12.00.

ANALISIS REGIONAL DE PRECIPITACIONECUACION DE REGRESION PRECIPITACION - ALTITUD

NOMBRE ALTITUD PRECIPITACION ECUACION DE REGRESION PRECIPITACION

ESTACION MEDIA MEDIA ANUAL CORREGIDA

msnm mm mm

SANTO TOMAS 3,253.00 797.30 1.06E+7 6.36E+5 2.07E+9 4.04E+11 744.93

KAYRA 3,219.00 648.04 1.04E+7 4.20E+5 1.35E+9 1.76E+11 746.12

SICUANI 3,574.00 685.90 1.28E+7 4.70E+5 1.68E+9 2.21E+11 733.54

ZURITE 3,391.00 819.31 1.15E+7 6.71E+5 2.28E+9 4.51E+11 740.05

SUMA 13,437.00 2,950.55 4.52E+7 2.20E+6 7.38E+9 1.25E+12 2964.64

n 4 4 4 4 4 4 4

PROMEDIO 3,359.25 737.64 1.13E+7 5.49E+5 1.84E+9 3.13E+11 741.16

FORMULAS PARA EL CALCULO DE PARAMETROS DE REGRESION VALORES DE PARAMETROS DE REGRESION

A= SUM X 1.34E+4 G = C-(A^2)/n 7.81E+4 COEF. INDEPENDIENTE Bo = 725613.94

B= SUM Y 2.95E+3 H = F-A*D/n -4.10E+6 COEF. DEPENDIENTE B1 = -52.47

C= SUM X^2 4.52E+7 I = F-(D^2)/n 4.53E+10 COEF. DE CORRELACION r = -0.069

D= SUM Y^2 2.20E+6 J = H/G -5.25E+1

E= SUM X*Y^2 7.38E+9 K = (D-J*A)/n 7.26E+5 PRECIP. MEDIA ANUAL PROYECTO (APROX.)

F= SUM Y^4 1.25E+12 CUENCA ALTITUD MEDIA

FORMULAS DE PARAMETROS DE REGRESION CUENCA CAPACMARCA 3,789.11 725.80

COEF. INDEPENDIENTE Bo= (D-J*A)/n 4,125.00 713.56

COEF. DEPENDIENTE B1= H/G 4,244.01 709.17

COEF. DE CORRELACION r = H/SQRT(G*I) 4,360.31 704.85

DESVIACION ESTANDAR S = (D-A^2/n)-(K*(A*D-A*B)/n) 4,560.95 697.34

GRAFICO Nº 04.00.

P2 = BO + B1 * H

X2 Y2 X*Y2 Y4

CUENCA 02 RIO CHAQUIMAYO CUENCA 03 Valle de Salado CUENCA 04 Valle de Oquero y Chaccomayo CUENCA 05 Valle de Cayo Mani y Ornillos

2500.00 3000.00 3500.00 4000.00 4500.00 5000.00

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ALTITUD Vs PRECIPITACIONECUACION DE REGRESION

ESTACION PRECIP. PROYECTOALTITUD (m.s.n.m)

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ECUACION DE REGRESIONP2 = BO + B1 * H

CUADRO Nº 13.00.

ECUACIONES DE INFLUENCIA EN FUNCION A ESTACIONES BASE

CODIGO ESTACION Latitud Longitud Altitud FACTORES DE CORRECCION ALTITUDINAL (ai) FACTORES DE INFL. GEOGRAFICA (bi)

º ' " º ' " Media C - 01 C - 02 C - 03 C - 04 C - 05 C - 01 C - 02 C - 03 C - 04 C - 05

E1 SANTO TOMAS 12 54 0 12.9 72 35 0 72.583 3,253.00 1.16 1.27 1.30 1.34 1.40 0.302 0.303 0.106 0.127 0.130

E2 KAYRA 13 34 0 13.567 71 54 0 71.9 3,219.00 1.18 1.28 1.32 1.35 1.42 0.239 0.239 0.224 0.287 0.261

E3 SICUANI 14 17 0 14.283 71 13 0 71.217 3,574.00 1.06 1.15 1.19 1.22 1.28 0.194 0.194 0.503 0.376 0.403

E4 ZURITE 13 27 0 13.45 72 16 0 72.267 3,391.00 1.12 1.22 1.25 1.29 1.35 0.265 0.265 0.167 0.211 0.206

ESTACIONES EN ESTUDIO (E.E.i)

C - 01 12 30 29.31 12.508 75 35 13.49 75.587 3,789.11 C - 01 0.352 0.281 0.206 0.296

C - 02 12 27 13.66 12.454 75 35 6.55 75.585 4,125.00 C - 02 0.384 0.306 0.224 0.322

C - 03 14 20 0 14.333 71 35 0 71.583 4,244.01 C - 03 0.139 0.296 0.597 0.208

C - 04 14 15 0 14.25 71 45 0 71.75 4,360.31 C - 04 0.170 0.389 0.458 0.271

C - 05 14 25 0 14.417 71 45 30 71.76 4,560.95 C - 05 0.183 0.370 0.514 0.277

ESTACIONES BASE (Ei)

ECUACIONES DE PRECIPITACION DE LAS ESTACIONES EN ESTUDIO EN FUNCION DE LAS ESTACIONES BASE (E.E.i = SUMATORIA ai x bi x Ei)

CUENCA 01 RIO CULCHAMAYO x E1+ x E2+ x E3 + x E4

CUENCA 02 RIO CHAQUIMAYO x E1+ x E2+ x E3 + x E4

CUENCA 03 Valle de Salado x E1+ x E2+ x E3 + x E4

CUENCA 04 Valle de Oquero y Chaccomayo x E1+ x E2+ x E3 + x E4

CUENCA 05 Valle de Cayo Mani y Ornillos x E1+ x E2+ x E3 + x E4

CUADRO Nº 14.01.

INFORMACION METEOROLOGICA GENERADA

M. CUENCA: LATITUD 12° 30' 29.31" "S"

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 75° 35' 13.49" "W"

ALTITUD 3789.11 M.S.N.M.

Nº AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL PROMEDIO

1 2000 194.04 284.93 184.92 35.17 20.56 9.35 8.88 23.24 31.91 93.57 47.05 136.88 1070.49 89.21

2 2001 273.82 215.99 184.17 31.82 34.66 5.71 23.10 36.38 23.95 72.38 89.05 76.01 1067.05 88.92

3 2002 135.92 261.76 198.52 66.11 15.71 3.57 55.94 10.02 43.21 88.01 76.86 128.97 1084.59 90.38

4 2003 160.45 175.61 197.25 55.37 10.25 0.99 1.15 23.81 27.78 45.03 47.53 190.43 935.65 77.97

5 2004 143.20 235.44 110.35 51.39 12.02 13.18 26.86 19.80 35.02 44.71 44.31 187.75 924.04 77.00

6 2005 140.71 135.08 152.47 39.13 12.53 0.00 3.33 12.24 45.00 72.91 52.76 179.23 845.39 70.45

7 2006 257.12 183.84 193.28 79.65 1.55 9.47 0.00 30.26 6.29 64.45 123.39 125.21 1074.51 89.54

8 2007 152.19 163.99 222.76 55.35 3.84 0.00 10.70 6.42 20.84 39.53 91.94 166.55 934.13 77.84

9 2008 242.27 190.60 106.61 22.18 5.87 8.98 0.00 2.23 9.95 49.89 55.05 136.01 829.65 69.14

10 2009 176.18 204.86 138.62 73.72 4.62 1.04 20.90 1.36 20.73 65.05 163.64 147.45 1018.18 84.85

NRO. DATOS 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00

SUMATORIA 1875.91 2052.11 1688.97 509.89 121.61 52.29 150.87 165.76 264.69 635.52 791.57 1474.50 9783.68 815.31

PROMEDIO 187.59 205.21 168.90 50.99 12.16 5.23 15.09 16.58 26.47 63.55 79.16 147.45 978.37 81.53

V. MAXIMA 273.82 284.93 222.76 79.65 34.66 13.18 55.94 36.38 45.00 93.57 163.64 190.43 1084.59 90.38

V. MINIMA 135.92 135.08 106.61 22.18 1.55 0.00 0.00 1.36 6.29 39.53 44.31 76.01 829.65 69.14

D.ESTANDAR 49.25 43.30 37.63 17.87 9.33 4.53 16.59 11.35 12.16 17.69 37.26 33.21 92.19 7.68

VARIANZA 2695.51 2082.98 1573.41 354.83 96.79 22.83 305.71 143.17 164.32 347.71 1542.74 1225.35 9444.13 65.58

C.V. 0.26 0.21 0.22 0.35 0.77 0.87 1.10 0.68 0.46 0.28 0.47 0.23 0.09 0.09



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CUADRO Nº 14.02.


M. CUENCA: LATITUD 12° 27' 13.66" "S"

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 75° 35' 6.55" "W"



1 2000 211.17 310.10 201.24 38.27 22.38 10.17 9.66 25.28 34.73 101.84 51.23 148.98 1165.05 97.09

2 2001 298.03 235.05 200.43 34.62 37.72 6.21 25.14 39.60 26.07 78.77 96.92 82.75 1161.32 96.78

3 2002 147.95 284.99 216.11 71.96 17.10 3.88 60.90 10.90 47.04 95.80 83.65 140.41 1180.71 98.39

4 2003 174.65 191.18 214.71 60.27 11.15 1.08 1.25 25.92 30.25 49.02 51.73 207.31 1018.52 84.88

5 2004 155.88 256.32 120.13 55.95 13.08 14.35 29.24 21.55 38.12 48.67 48.23 204.42 1005.95 83.83

6 2005 153.17 147.04 166.04 42.59 13.66 0.00 3.62 13.33 48.99 79.37 57.44 195.10 920.34 76.69

7 2006 279.93 200.13 210.40 86.70 1.69 10.31 0.00 32.94 6.86 70.15 134.33 136.31 1169.77 97.48

8 2007 165.69 178.50 242.49 60.25 4.18 0.00 11.66 7.00 22.69 43.04 100.10 181.31 1016.90 84.74

9 2008 263.74 207.49 116.07 24.14 6.39 9.78 0.00 2.43 10.83 54.30 59.93 148.07 903.18 75.27

10 2009 191.80 223.02 150.89 80.25 5.03 1.13 22.76 1.48 22.57 70.81 178.14 160.52 1108.41 92.37

NRO. DATOS 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00SUMATORIA 2042.02 2233.83 1838.52 555.01 132.39 56.91 164.22 180.43 288.15 691.77 861.70 1605.19 10650.14 887.51PROMEDIO 204.20 223.38 183.85 55.50 13.24 5.69 16.42 18.04 28.81 69.18 86.17 160.52 1065.01 88.75V. MAXIMA 298.03 310.10 242.49 86.70 37.72 14.35 60.90 39.60 48.99 101.84 178.14 207.31 1180.71 98.39V. MINIMA 147.95 147.04 116.07 24.14 1.69 0.00 0.00 1.48 6.86 43.04 48.23 82.75 903.18 75.27D.ESTANDAR 53.62 47.13 40.95 19.46 10.16 4.93 18.06 12.36 13.24 19.25 40.56 36.15 100.30 8.36VARIANZA 3194.07 2467.78 1863.47 420.64 114.65 27.06 362.28 169.62 194.71 411.80 1828.32 1452.40 11178.76 77.63C.V. 0.26 0.21 0.22 0.35 0.77 0.87 1.10 0.68 0.46 0.28 0.47 0.23 0.09 0.09



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CUADRO Nº 14.03.


M. CUENCA: LATITUD 14° 20' "S"

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 71° 35' "W"



1 2000 259.53 321.11 230.64 51.22 22.87 13.41 10.19 27.13 27.34 89.56 48.35 152.20 1253.56 104.46

2 2001 337.98 269.92 229.74 57.25 39.71 5.06 29.41 37.74 25.32 85.37 84.43 78.99 1280.89 106.74

3 2002 166.67 264.11 218.22 76.89 13.66 5.25 68.92 13.52 43.33 105.22 92.95 136.47 1205.22 100.44

4 2003 177.11 177.24 246.01 54.52 14.63 0.81 2.62 27.27 29.69 44.06 50.45 186.38 1010.79 84.23

5 2004 162.13 259.23 123.71 55.64 9.74 14.63 33.12 21.95 43.47 44.43 52.48 167.93 988.47 82.37

6 2005 169.03 157.56 135.10 44.19 5.70 0.00 4.45 10.42 49.63 65.99 45.83 199.90 887.78 73.98

7 2006 258.16 219.46 228.05 84.09 0.78 6.07 0.00 24.23 4.49 79.73 139.09 121.86 1166.00 97.17

8 2007 164.36 180.90 262.51 54.14 4.26 0.00 8.21 3.43 22.25 32.30 78.22 150.28 960.85 80.07

9 2008 259.93 228.66 107.58 30.95 4.24 10.89 0.00 2.97 8.59 54.11 49.06 136.84 893.81 74.48

10 2009 173.94 206.37 167.99 87.77 3.34 0.73 21.20 0.96 21.59 63.85 157.31 147.87 1052.91 87.74




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CUADRO Nº 14.04.






1 2000 257.51 338.34 231.99 51.44 24.14 13.01 10.83 28.99 32.50 103.05 51.37 167.46 1310.64 109.22

2 2001 348.73 283.53 235.24 52.77 40.48 6.05 29.88 39.02 26.52 89.83 97.56 85.65 1335.25 111.27

3 2002 173.83 284.19 230.48 81.20 15.78 5.43 65.01 12.87 47.09 109.87 95.68 147.68 1269.10 105.76

4 2003 192.98 190.14 243.65 59.65 14.61 1.06 2.13 28.47 30.94 47.61 55.02 206.99 1073.26 89.44

5 2004 176.62 272.22 125.34 57.70 12.30 14.49 33.00 23.44 45.58 50.40 55.14 196.68 1062.93 88.58

6 2005 172.02 169.24 151.05 46.22 7.09 0.00 4.31 10.93 48.04 79.42 54.99 207.89 951.19 79.27

7 2006 275.58 221.41 230.09 92.05 0.98 7.78 0.00 26.61 4.54 79.82 142.60 135.57 1217.04 101.42

8 2007 173.38 192.18 268.93 58.49 4.06 0.00 9.33 4.35 22.09 38.33 93.00 171.82 1035.97 86.33

9 2008 272.09 227.01 113.35 30.46 5.25 10.40 0.00 2.93 11.20 59.73 59.04 154.13 945.58 78.80

10 2009 190.11 221.05 165.66 86.12 4.33 0.95 21.15 1.25 22.82 74.17 181.00 163.76 1132.37 94.36




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CUADRO Nº 14.05.






1 2000 270.40 351.85 244.09 53.48 24.90 13.79 11.29 30.03 33.02 105.02 53.35 170.59 1361.80 113.48

2 2001 361.76 292.07 245.21 56.01 42.70 6.17 31.36 41.26 27.71 93.02 99.27 88.29 1384.85 115.40

3 2002 179.23 293.87 238.62 83.74 16.05 5.56 70.04 13.79 48.64 113.38 99.67 151.71 1314.31 109.53

4 2003 197.29 197.39 256.93 61.65 15.20 1.05 2.36 29.60 32.23 49.41 56.56 212.36 1112.04 92.67

5 2004 180.02 282.30 132.01 60.22 12.21 15.49 34.87 24.19 46.87 51.13 56.84 198.53 1094.68 91.22

6 2005 179.59 173.06 155.23 48.08 7.51 0.00 4.57 11.54 51.72 79.56 55.18 216.86 982.90 81.91

7 2006 286.46 232.06 241.67 94.32 1.03 7.83 0.00 28.14 4.93 83.85 149.08 138.97 1268.34 105.69

8 2007 179.92 199.04 280.65 60.96 4.39 0.00 9.70 4.54 23.69 39.01 93.81 175.61 1071.32 89.28

9 2008 283.71 239.55 118.48 31.92 5.33 11.20 0.00 3.06 10.88 60.98 59.05 156.27 980.44 81.70

10 2009 196.11 229.49 175.53 91.64 4.32 0.97 22.66 1.27 23.77 74.68 183.25 167.69 1171.39 97.62




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h.-Analisis de Consistencia

CUADRO Nº 15.00.

CURVA DE DOBLE MASA

AÑOTOTAL

PARCIAL ACUMULADO PARCIAL ACUMULADO PARCIAL ACUMULADO PARCIAL ACUMULADO PARCIAL ACUMULADO PROMEDIO ACUMULADO

2000 89.21 89.21 97.09 97.09 104.46 104.46 109.22 109.22 113.48 113.48 101.06 101.06

2001 88.92 178.13 96.78 193.86 106.74 211.20 111.27 220.49 115.40 228.89 101.96 203.02

2002 90.38 268.51 98.39 292.26 100.44 311.64 105.76 326.25 109.53 338.41 99.68 302.70

2003 77.97 346.48 84.88 377.13 84.23 395.87 89.44 415.69 92.67 431.08 84.94 387.64

2004 77.00 423.49 83.83 460.96 82.37 478.24 88.58 504.26 91.22 522.31 83.61 471.25

2005 70.45 493.93 76.69 537.66 73.98 552.23 79.27 583.53 81.91 604.22 75.76 547.01

2006 89.54 583.48 97.48 635.14 97.17 649.39 101.42 684.95 105.69 709.91 97.47 644.48

2007 77.84 661.32 84.74 719.88 80.07 729.46 86.33 771.28 89.28 799.19 82.98 727.46

2008 69.14 730.46 75.27 795.14 74.48 803.95 78.80 850.08 81.70 880.89 75.15 802.61

2009 84.85 815.31 92.37 887.51 87.74 891.69 94.36 944.44 97.62 978.51 90.64 893.25

GRAFICO Nº 06.00.

CUENCA 01 CUENCA 02 CUENCA 03 CUENCA 04 CUENCA 05

0.00 200.00 400.00 600.00 800.00 1000.00 1200.00 0.00

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PRECIPITACIO N ACUMULADA (mm)

CUADRO Nº 16.01.

TEMPERATURA MINIMA MEDIA MENSUAL

ESTACIONESALTITUD MESES

MEDIAmsnm JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN

ANTABAMBA 3,636 1.20 2.40 3.80 4.20 4.80 5.10 4.90 5.00 4.80 3.70 1.90 0.90 3.56PAMPACHIRI 3,364 2.50 4.90 5.20 5.70 5.70 5.10 5.90 6.00 6.60 7.00 3.50 3.20 5.11URIPA 3,100 4.30 5.50 7.00 7.60 8.10 7.90 8.10 7.90 8.00 7.40 6.10 5.00 6.91

a 22.12 23.80 25.42 27.17 26.88 23.53 26.36 24.49 26.58 29.36 30.18 28.80 26.22ECUACION DE REGRESION b -0.0058 -0.0058 -0.0060 -0.0063 -0.0061 -0.0052 -0.0060 -0.0054 -0.0060 -0.0069 -0.0078 -0.0077 -0.0062

r -0.99 -0.95 -1.00 -1.00 -0.97 -0.86 -0.98 -0.98 -1.00 -0.91 -0.99 -1.00 -1.00MICRO CUENCA 3,789 0.23 1.82 2.81 3.16 3.61 3.84 3.78 4.02 3.94 3.11 0.53 -0.20 2.55MICRO CUENCA 4,125 -1.72 -0.13 0.81 1.03 1.54 2.09 1.78 2.20 1.94 0.78 -2.10 -2.77 0.45MICRO CUENCA 4,244 -2.40 -0.82 0.10 0.27 0.81 1.47 1.07 1.56 1.23 -0.05 -3.03 -3.68 -0.29MICRO CUENCA 4,360 -3.08 -1.50 -0.59 -0.47 0.10 0.87 0.38 0.93 0.53 -0.85 -3.94 -4.57 -1.02MICRO CUENCA 4,561 -4.23 -2.66 -1.79 -1.74 -1.14 -0.17 -0.82 -0.15 -0.67 -2.24 -5.51 -6.11 -2.27

CUADRO Nº 16.02.

TEMPERATURA MEDIA MENSUAL





r -0.86 -1.00 -0.95 -0.95 -0.98 -0.98 -0.99 -1.00 -0.98 -0.94 -0.98 -0.97 -1.00MICRO CUENCA 3,789 9.29 10.78 11.07 11.82 12.14 11.33 10.65 10.25 10.06 10.79 10.04 9.64 10.65MICRO CUENCA 4,125 8.17 9.84 9.89 10.69 10.95 10.07 9.21 8.62 8.30 9.41 8.66 8.32 9.34MICRO CUENCA 4,244 7.77 9.51 9.47 10.30 10.53 9.63 8.70 8.04 7.68 8.92 8.17 7.86 8.88MICRO CUENCA 4,360 7.38 9.19 9.05 9.91 10.12 9.20 8.20 7.48 7.07 8.44 7.70 7.40 8.43MICRO CUENCA 4,561 6.71 8.62 8.35 9.23 9.41 8.45 7.33 6.51 6.02 7.62 6.87 6.61 7.64

CUADRO Nº 16.03.

TEMPERATURA MAXIMA MEDIA MENSUAL





r -1.00 -1.00 -0.97 -0.86 -1.00 -0.99 -0.89 -0.98 -0.97 -0.99 -0.94 -0.94 -1.00MICRO CUENCA 3,789 17.33 17.94 18.40 19.70 19.80 18.42 16.75 16.41 16.19 17.42 18.12 17.58 17.84MICRO CUENCA 4,125 16.26 16.75 17.33 19.02 18.92 17.48 15.18 14.78 14.43 16.17 17.18 16.58 16.67MICRO CUENCA 4,244 15.88 16.32 16.96 18.78 18.61 17.15 14.62 14.20 13.81 15.72 16.85 16.22 16.26MICRO CUENCA 4,360 15.51 15.91 16.59 18.54 18.30 16.82 14.08 13.64 13.20 15.29 16.53 15.88 15.86MICRO CUENCA 4,561 14.88 15.20 15.95 18.13 17.78 16.26 13.14 12.66 12.15 14.54 15.97 15.28 15.16

CUENCA 01 RIO CULCHAMAYO CUENCA 02 RIO CHAQUIMAYO CUENCA 03 Valle de Salado CUENCA 04 Valle de Oquero y Chaccomayo CUENCA 05 Valle de Cayo Mani y Ornillos

Fuente: SENAMHI


Fuente: SENAMHI


Fuente: SENAMHI

CUADRO Nº 17.01.

VARIABLES CLIMATICAS

M. CUENCA: ALTITUD : 3,789 m.s.n.m. LATITUD : 12° 30' 29.31"

VARIABLES UNIDADMESES

TOTAL PROMEDIOJUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN

PRECIPITACION MEDIA MENSUAL mm 15.09 16.58 26.47 63.55 79.16 147.45 187.59 205.21 168.90 50.99 12.16 5.23 978.37 81.53

DESVIACION ESTANDAR mm 16.59 11.35 12.16 17.69 37.26 33.21 49.25 43.30 37.63 17.87 9.33 4.53 92.19 7.68

PRECIPITACION AL 75 % PERSISTENCIA mm 3.90 8.92 18.27 51.62 54.02 125.05 154.37 176.01 143.52 38.94 5.87 2.17 782.64 65.22

PRECIPITACION EFECTIVA (USDA) mm 3.00 8.00 18.00 51.00 54.00 125.00 154.00 176.00 143.00 38.00 5.00 2.00 777.00 64.75

TEMPERATURA MEDIA MENSUAL Cº 9.29 10.78 11.07 11.82 12.14 11.33 10.65 10.25 10.06 10.79 10.04 9.64 10.65

TEMPERATURA MINIMA MEDIA MENSUAL Cº 0.23 1.82 2.81 3.16 3.61 3.84 3.78 4.02 3.94 3.11 0.53 -0.20 2.55

TEMPERATURA MAXIMA MEDIA MENSUAL Cº 17.33 17.94 18.40 19.70 19.80 18.42 16.75 16.41 16.19 17.42 18.12 17.58 17.84

N° DE DIAS POR MES Dias 31.00 31.00 30.00 31.00 30.00 31.00 31.00 28.00 31.00 30.00 31.00 30.00 365.00 30.42

1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23

mm/dia 368.85 406.84 439.48 489.80 488.29 503.04 513.08 459.20 476.61 415.48 384.35 344.95 5,289.95 440.83

hr/mes 233.20 226.20 213.80 224.20 198.20 166.10 147.70 141.60 166.70 200.20 222.20 222.60 2,362.70 196.89

hr/mes 258.10 233.30 196.20 198.30 175.30 153.10 130.50 126.60 152.10 192.10 235.60 242.70 2,293.90 191.16

hr/mes 249.60 243.60 205.50 213.20 186.60 161.20 140.30 131.60 158.60 187.80 237.20 237.40 2,352.60 196.05

H.DE SOL TOTAL MENSUAL - AREA DE CULTIVOS hr/mes 246.97 234.37 205.17 211.90 186.70 160.13 139.50 133.27 159.13 193.37 231.67 234.23 2,336.40 194.70

hr/día 7.97 7.56 6.84 6.84 6.22 5.17 4.50 4.76 5.13 6.45 7.47 7.81 76.71 6.39

hr/mes 354.93 362.69 372.00 384.41 393.71 398.37 395.27 387.51 376.66 365.80 356.49 351.83 4,499.67 374.97

230.76 245.28 244.78 272.74 252.19 239.20 228.60 201.97 232.35 226.56 232.38 211.09 2,817.89 234.82

mm. 103.49 116.08 117.02 133.75 125.01 115.35 107.68 93.80 107.15 107.25 107.09 95.90 1,329.57 110.80

mm. 102.30 116.25 114.30 130.51 127.50 113.15 99.82 90.72 97.03 93.30 96.41 98.40 1,279.69 106.64

m/s 5.60 6.40 6.10 5.80 5.90 5.50 3.80 4.80 4.00 4.00 5.00 6.30 5.27

% 65.50 65.50 67.50 71.50 71.00 71.00 76.00 75.50 76.00 72.50 68.50 67.00 70.63

N° DE DIAS CON HELADAS Dias 2.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 2.00 6.00

** Tomada de la Estacion Abancay 1) Hargreaves 2) Penman-Monteih USDA : Soil Conservation Service Method USBR : United States Bureau of Reclamation Method

Fuente: Elaboración Propia

Lat = 12.51 AL = 3,789 14 B = 11.6 12.9 14.5 15.8 16.5 16.6 16.7 16.4 15.3 13.7 12.1 11.216 D = 11.2 12.6 14.3 15.8 16.8 17.1 16.9 16.4 15.2 13.5 11.7 10.8Ra " X " = 368.85 406.84 439.48 489.80 488.29 503.04 513.08 459.20 476.61 415.48 384.35 344.95

10 B = 11.6 11.8 12 12.3 12.6 12.7 12.6 12.4 12.1 11.8 11.6 11.515 D = 11.3 11.6 12 12.5 12.8 13 12.9 12.6 12.2 11.8 11.4 11.2N " X " = 354.93 362.69 372.00 384.41 393.71 398.37 395.27 387.51 376.66 365.80 356.49 351.83

JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN


FACTOR DE CORRECCION POR ALTURA (F.C.A.)

RADIACION EXTRA-TERRESTRE (Ra)

H.DE SOL TOTAL MENSUAL - E. ABANCAY (n1)

H.DE SOL TOTAL MENSUAL - E. K'AYRA (n2)

H.DE SOL TOTAL MENSUAL - E. PERAYOC (n3)

(n = (n1+n2+n3)/3)

HORAS TEORICAS DE FUERTE INSOLACION (N)

RADIACION SOLAR MEDIA (R.S.M)

EVAPOTRANSPIRACION POTENCIAL (E.T.P.) (1)

EVAPOTRANSPIRACION POTENCIAL (E.T.P.) (2) (referencial)

VELOCIDAD DEL VIENTO - EST. ANGOSTURA (Vv)

HUMEDAD RELATIVA MEDIA MENSUAL (H.R.) **



CUADRO Nº 17.02.


M. CUENCA: ALTITUD : 4,125 m.s.n.m. LATITUD : 12° 27' 13.66"



PRECIPITACION MEDIA MENSUAL mm 16.42 18.04 28.81 69.18 86.17 160.52 204.20 223.38 183.85 55.50 13.24 5.69 1,065.01 88.75





TEMPERATURA MINIMA MEDIA MENSUAL Cº -1.72 -0.13 0.81 1.03 1.54 2.09 1.78 2.20 1.94 0.78 -2.10 -2.77 0.45



1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25

mm/dia 369.19 407.09 439.64 489.80 488.04 502.62 512.91 459.20 476.70 415.64 384.69 345.28 5,290.78 440.90

hr/mes 233.20 226.20 213.80 224.20 198.20 166.10 147.70 141.60 166.70 200.20 222.20 222.60 2,362.70 196.89

hr/mes 258.10 233.30 196.20 198.30 175.30 153.10 130.50 126.60 152.10 192.10 235.60 242.70 2,293.90 191.16

hr/mes 249.60 243.60 205.50 213.20 186.60 161.20 140.30 131.60 158.60 187.80 237.20 237.40 2,352.60 196.05


hr/día 7.97 7.56 6.84 6.84 6.22 5.17 4.50 4.76 5.13 6.45 7.47 7.81 76.71 6.39

hr/mes 355.04 362.76 372.00 384.34 393.64 398.26 395.16 387.44 376.62 365.80 356.56 351.94 4,499.56 374.96

230.94 245.41 244.87 272.76 252.08 239.03 228.56 201.99 232.40 226.64 232.56 211.26 2,818.50 234.88

mm. 100.90 114.16 114.09 130.79 121.96 112.12 103.87 89.80 102.06 103.78 103.55 92.86 1,289.95 107.50

mm. 102.30 116.25 114.30 130.51 127.50 113.15 99.82 90.72 97.03 93.30 96.41 98.40 1,279.69 106.64

m/s 5.60 6.40 6.10 5.80 5.90 5.50 3.80 4.80 4.00 4.00 5.00 6.30 5.27

% 65.50 65.50 67.50 71.50 71.00 71.00 76.00 75.50 76.00 72.50 68.50 67.00 70.63




Lat = 12.45 AL = 4,125 14 B = 11.6 12.9 14.5 15.8 16.5 16.6 16.7 16.4 15.3 13.7 12.1 11.216 D = 11.2 12.6 14.3 15.8 16.8 17.1 16.9 16.4 15.2 13.5 11.7 10.8Ra " X " = 369.19 407.09 439.64 489.80 488.04 502.62 512.91 459.20 476.70 415.64 384.69 345.28

10 B = 11.6 11.8 12 12.3 12.6 12.7 12.6 12.4 12.1 11.8 11.6 11.515 D = 11.3 11.6 12 12.5 12.8 13 12.9 12.6 12.2 11.8 11.4 11.2N " X " = 355.04 362.76 372.00 384.34 393.64 398.26 395.16 387.44 376.62 365.80 356.56 351.94








(n = (n1+n2+n3)/3)









CUADRO Nº 17.03.


M. CUENCA: ALTITUD : 4,244 m.s.n.m. LATITUD : 14° 20'








TEMPERATURA MINIMA MEDIA MENSUAL Cº -2.40 -0.82 0.10 0.27 0.81 1.47 1.07 1.56 1.23 -0.05 -3.03 -3.68 (0.29)



1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25

mm/dia 357.53 398.35 434.00 489.80 496.50 517.18 518.73 459.20 473.78 410.00 373.03 334.00 5,262.12 438.51

hr/mes 233.20 226.20 213.80 224.20 198.20 166.10 147.70 141.60 166.70 200.20 222.20 222.60 2,362.70 196.89

hr/mes 258.10 233.30 196.20 198.30 175.30 153.10 130.50 126.60 152.10 192.10 235.60 242.70 2,293.90 191.16

hr/mes 249.60 243.60 205.50 213.20 186.60 161.20 140.30 131.60 158.60 187.80 237.20 237.40 2,352.60 196.05


hr/día 7.97 7.56 6.84 6.84 6.22 5.17 4.50 4.76 5.13 6.45 7.47 7.81 76.71 6.39

hr/mes 351.54 360.43 372.00 386.67 395.97 401.76 398.66 389.77 377.79 365.80 354.23 348.44 4,503.06 375.25

224.76 240.92 241.73 271.94 255.69 244.89 230.14 201.38 230.62 223.57 226.26 205.38 2,797.27 233.11

mm. 97.25 111.35 111.55 129.31 122.59 113.69 103.20 88.08 99.43 101.10 99.45 89.17 1,266.16 105.51

mm. 102.30 116.25 114.30 130.51 127.50 113.15 99.82 90.72 97.03 93.30 96.41 98.40 1,279.69 106.64

m/s 5.60 6.40 6.10 5.80 5.90 5.50 3.80 4.80 4.00 4.00 5.00 6.30 5.27

% 65.50 65.50 67.50 71.50 71.00 71.00 76.00 75.50 76.00 72.50 68.50 67.00 70.63




Lat = 14.33 AL = 4,244 14 B = 11.6 12.9 14.5 15.8 16.5 16.6 16.7 16.4 15.3 13.7 12.1 11.216 D = 11.2 12.6 14.3 15.8 16.8 17.1 16.9 16.4 15.2 13.5 11.7 10.8Ra " X " = 357.53 398.35 434.00 489.80 496.50 517.18 518.73 459.20 473.78 410.00 373.03 334.00

10 B = 11.6 11.8 12 12.3 12.6 12.7 12.6 12.4 12.1 11.8 11.6 11.515 D = 11.3 11.6 12 12.5 12.8 13 12.9 12.6 12.2 11.8 11.4 11.2N " X " = 351.54 360.43 372.00 386.67 395.97 401.76 398.66 389.77 377.79 365.80 354.23 348.44








(n = (n1+n2+n3)/3)









CUADRO Nº 17.04.










TEMPERATURA MINIMA MEDIA MENSUAL Cº -3.08 -1.50 -0.59 -0.47 0.10 0.87 0.38 0.93 0.53 -0.85 -3.94 -4.57 (1.02)



1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26

mm/dia 358.05 398.74 434.25 489.80 496.13 516.54 518.47 459.20 473.91 410.25 373.55 334.50 5,263.39 438.62

hr/mes 233.20 226.20 213.80 224.20 198.20 166.10 147.70 141.60 166.70 200.20 222.20 222.60 2,362.70 196.89

hr/mes 258.10 233.30 196.20 198.30 175.30 153.10 130.50 126.60 152.10 192.10 235.60 242.70 2,293.90 191.16

hr/mes 249.60 243.60 205.50 213.20 186.60 161.20 140.30 131.60 158.60 187.80 237.20 237.40 2,352.60 196.05


hr/día 7.97 7.56 6.84 6.84 6.22 5.17 4.50 4.76 5.13 6.45 7.47 7.81 76.71 6.39

hr/mes 351.70 360.53 372.00 386.57 395.87 401.61 398.51 389.67 377.73 365.80 354.33 348.59 4,502.91 375.24

225.03 241.12 241.87 271.98 255.53 244.63 230.07 201.41 230.70 223.71 226.54 205.65 2,798.22 233.18

mm. 96.42 110.73 110.54 128.24 121.41 112.39 101.78 86.64 97.62 99.90 98.29 88.18 1,252.15 104.35

mm. 102.30 116.25 114.30 130.51 127.50 113.15 99.82 90.72 97.03 93.30 96.41 98.40 1,279.69 106.64

m/s 5.60 6.40 6.10 5.80 5.90 5.50 3.80 4.80 4.00 4.00 5.00 6.30 5.27

% 65.50 65.50 67.50 71.50 71.00 71.00 76.00 75.50 76.00 72.50 68.50 67.00 70.63




Lat = 14.25 AL = 4,360 14 B = 11.6 12.9 14.5 15.8 16.5 16.6 16.7 16.4 15.3 13.7 12.1 11.216 D = 11.2 12.6 14.3 15.8 16.8 17.1 16.9 16.4 15.2 13.5 11.7 10.8Ra " X " = 358.05 398.74 434.25 489.80 496.13 516.54 518.47 459.20 473.91 410.25 373.55 334.50

10 B = 11.6 11.8 12 12.3 12.6 12.7 12.6 12.4 12.1 11.8 11.6 11.515 D = 11.3 11.6 12 12.5 12.8 13 12.9 12.6 12.2 11.8 11.4 11.2N " X " = 351.70 360.53 372.00 386.57 395.87 401.61 398.51 389.67 377.73 365.80 354.33 348.59








(n = (n1+n2+n3)/3)









CUADRO Nº 17.05.










TEMPERATURA MINIMA MEDIA MENSUAL Cº -4.23 -2.66 -1.79 -1.74 -1.14 -0.17 -0.82 -0.15 -0.67 -2.24 -5.51 -6.11 (2.27)



1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26 1.26

mm/dia 357.02 397.96 433.75 489.80 496.88 517.83 518.99 459.20 473.65 409.75 372.52 333.50 5,260.85 438.40

hr/mes 233.20 226.20 213.80 224.20 198.20 166.10 147.70 141.60 166.70 200.20 222.20 222.60 2,362.70 196.89

hr/mes 258.10 233.30 196.20 198.30 175.30 153.10 130.50 126.60 152.10 192.10 235.60 242.70 2,293.90 191.16

hr/mes 249.60 243.60 205.50 213.20 186.60 161.20 140.30 131.60 158.60 187.80 237.20 237.40 2,352.60 196.05


hr/día 7.97 7.56 6.84 6.84 6.22 5.17 4.50 4.76 5.13 6.45 7.47 7.81 76.71 6.39

hr/mes 351.39 360.32 372.00 386.78 396.08 401.92 398.82 389.88 377.84 365.80 354.12 348.28 4,503.22 375.27

224.48 240.72 241.59 271.90 255.85 245.14 230.21 201.35 230.54 223.43 225.98 205.12 2,796.33 233.03

mm. 93.62 108.24 107.49 125.09 118.47 109.51 98.46 83.28 93.43 96.64 94.88 85.21 1,214.33 101.19

mm. 102.30 116.25 114.30 130.51 127.50 113.15 99.82 90.72 97.03 93.30 96.41 98.40 1,279.69 106.64

m/s 5.60 6.40 6.10 5.80 5.90 5.50 3.80 4.80 4.00 4.00 5.00 6.30 5.27

% 65.50 65.50 67.50 71.50 71.00 71.00 76.00 75.50 76.00 72.50 68.50 67.00 70.63




Lat = 14.42 AL = 4,561 14 B = 11.6 12.9 14.5 15.8 16.5 16.6 16.7 16.4 15.3 13.7 12.1 11.216 D = 11.2 12.6 14.3 15.8 16.8 17.1 16.9 16.4 15.2 13.5 11.7 10.8Ra " X " = 357.02 397.96 433.75 489.80 496.88 517.83 518.99 459.20 473.65 409.75 372.52 333.50

10 B = 11.6 11.8 12 12.3 12.6 12.7 12.6 12.4 12.1 11.8 11.6 11.515 D = 11.3 11.6 12 12.5 12.8 13 12.9 12.6 12.2 11.8 11.4 11.2N " X " = 351.39 360.32 372.00 386.78 396.08 401.92 398.82 389.88 377.84 365.80 354.12 348.28








(n = (n1+n2+n3)/3)









CUADRO Nº 18.01.

PARAMETROS FISIOGRAFICOS E HIDROLOGICOS

VARIABLES UNIDAD

PARAMETROS HIDROLOGICOS

TOTAL PROMEDIO

PARAMETROS FISIOGRAFICOS

JUL AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN LATITUD LONGITUD ALTITUD PENDIENTE C. RETENCION

M. CUENCA: m.s.n.m. m/Km días mm/año

PRECIPITACION MEDIA MENSUAL Pc mm. 15.09 16.58 26.47 63.55 79.16 147.45 187.59 205.21 168.90 50.99 12.16 5.23 978.37 81.53 12.50814 75.59 3,789.11 46.47 271.40 214 150.00

DESVIACION ESTANDAR S mm. 16.59 11.35 12.16 17.69 37.26 33.21 49.25 43.30 37.63 17.87 9.33 4.53 92.19 7.68 DESCRIPCION

PRECIPITACION AL 75% DE PERSISTENCIA P 75% mm. 3.90 8.92 18.27 51.62 54.02 125.05 154.37 176.01 143.52 38.94 5.87 2.17 782.64 65.22

PRECIPITACION EFECTIVA AL 75% DE PERSISTENCIA (b) PE 75% mm. 3.00 8.00 18.00 51.00 54.00 125.00 154.00 176.00 143.00 38.00 5.00 2.00 777.00 64.75

TEMPERATURA MEDIA MENSUAL (r) Tc Cº 9.29 10.78 11.07 11.82 12.14 11.33 10.65 10.25 10.06 10.79 10.04 9.64 10.65

TEMPERATURA MINIMA MEDIA MENSUAL (r) Tmin Cº 0.23 1.82 2.81 3.16 3.61 3.84 3.78 4.02 3.94 3.11 0.53 -0.20 2.55

TEMPERATURA MAXIMA MEDIA MENSUAL (r) Tmax Cº 17.33 17.94 18.40 19.70 19.80 18.42 16.75 16.41 16.19 17.42 18.12 17.58 17.84

RADIACION EXTRA-TERRESTRE Ra mm/día 368.85 406.84 439.48 489.80 488.29 503.04 513.08 459.20 476.61 415.48 384.35 344.95 5,289.95 440.83

HRAS. DE SOL TOTAL MENSUAL n hr/m 246.97 234.37 205.17 211.90 186.70 160.13 139.50 133.27 159.13 193.37 231.67 234.23 2,336.40 194.70

HRAS. TEORICAS DE FUERTE INSOLACION N hr/día 354.93 362.69 372.00 384.41 393.71 398.37 395.27 387.51 376.66 365.80 356.49 351.83 4,499.67 374.97

RADIACION SOLAR MEDIA RSM - 230.76 245.28 244.78 272.74 252.19 239.20 228.60 201.97 232.35 226.56 232.38 211.09 2,817.89 234.82

EVAPOTRANSPIRACION POTENCIAL (a) ETP mm. 103.49 116.08 117.02 133.75 125.01 115.35 107.68 93.80 107.15 107.25 107.09 95.90 1329.57 110.80

(r) : Datos regionalizados (a) : Segun Método de Hargreaves III Modificado para la Sierra Peruana. (b) : Según USBR

CUADRO Nº 18.02.

VARIABLES UNIDAD


TOTAL PROMEDIO




PRECIPITACION MEDIA MENSUAL Pc mm. 16.42 18.04 28.81 69.18 86.17 160.52 204.20 223.38 183.85 55.50 13.24 5.69 1,065.01 88.75 12.45 75.59 4125.00 3.66 878.64 214 150.00





TEMPERATURA MINIMA MEDIA MENSUAL (r) Tmin Cº -1.72 -0.13 0.81 1.03 1.54 2.09 1.78 2.20 1.94 0.78 -2.10 -2.77 0.45






EVAPOTRANSPIRACION POTENCIAL (a) ETP mm. 100.90 114.16 114.09 130.79 121.96 112.12 103.87 89.80 102.06 103.78 103.55 92.86 1,289.95 107.50


CUADRO Nº 18.03.

VARIABLES UNIDAD


TOTAL PROMEDIO




PRECIPITACION MEDIA MENSUAL Pc mm. 17.81 16.96 27.57 66.46 79.82 147.87 212.88 228.45 194.95 59.67 11.89 5.68 1,070.03 89.17 14.33 71.58 4,244.01 2,404.61 24.47 214 150.00





TEMPERATURA MINIMA MEDIA MENSUAL (r) Tmin Cº -2.40 -0.82 0.10 0.27 0.81 1.47 1.07 1.56 1.23 -0.05 -3.03 -3.68 -0.29








AREA DE LA CUENCA

TEMP. SECA


Km2

La Microcuenca del Valle del Rio Livitaca y Chacco, tiene una extensión de 114,680.53 ha de superficie y un perímetro total de 219.04 Km. La altitud promedio de la microcuenca es de 4,040.48 m.s.n.m. Presenta en su superficie morfología variada con pendientes abruptas y empinadas, teniendo una

pendiente promedio de 5.91%, la cobertura vegetal es escasa en esta zona, no existe nevados perpetuos. Su sistema de drenaje lo constituye principalmente las precipitaciones pluviales.

AREA DE LA CUENCA

TEMP. SECA


Km2

La Microcuenca del Valle del Rio Huacra Huacho y Tacca, tiene una extensión de 189,548.68 ha de superficie y un perímetro total de 258.88 Km. La altitud promedio de la microcuenca es de 4,098.02

m.s.n.m. Presenta en su superficie morfología variada con pendientes abruptas y empinadas, teniendo una pendiente promedio de 3.86%, la cobertura vegetal es escasa en esta zona, no existe nevados

perpetuos. Su sistema de drenaje lo constituye principalmente las precipitaciones pluviales.

AREA DE LA CUENCA

TEMP. SECA


Km2

La Microcuenca del Valle del Rio Salado, tiene una extensión de 240,461.08 ha de superficie y un perímetro total de 267.33 Km. La altitud promedio de la microcuenca es de 4,244.01 m.s.n.m. Presenta

en su superficie morfología variada con pendientes abruptas y empinadas, teniendo una pendiente promedio de 2.45%, la cobertura vegetal es escasa en esta zona, no existe nevados perpetuos. Su

sistema de drenaje lo constituye principalmente las precipitaciones pluviales.

CUADRO Nº 18.04.

VARIABLES UNIDAD


TOTAL PROMEDIO









TEMPERATURA MINIMA MEDIA MENSUAL (r) Tmin Cº -3.08 -1.50 -0.59 -0.47 0.10 0.87 0.38 0.93 0.53 -0.85 -3.94 -4.57 -1.02








CUADRO Nº 18.05.

VARIABLES UNIDAD


TOTAL PROMEDIO









TEMPERATURA MINIMA MEDIA MENSUAL (r) Tmin Cº -4.23 -2.66 -1.79 -1.74 -1.14 -0.17 -0.82 -0.15 -0.67 -2.24 -5.51 -6.11 -2.27








AREA DE LA CUENCA

TEMP. SECA


Km2

La Microcuenca del Valle del Rio Oquero y Chaccomayo, tiene una extensión de 199,885.10 ha de superficie y un perímetro total de 235.44 Km. La altitud promedio de la microcuenca es de 4,360.31



AREA DE LA CUENCA

TEMP. SECA


Km2

La Microcuenca del Valle del Rio Cayo Mani y Ornillos, tiene una extensión de 200,871.73 ha de superficie y un perímetro total de 194.57 Km. La altitud promedio de la microcuenca es de 4,560.95



CUADRO Nº 19.01.

GENERACION DE CAUDALES MENSUALES

DATOS BASICOSHc = 3,789.11 msnm Altura Media de la Cuenca Ra = 5,289.95 mm/año Radiación extraterrestre para la cuenca

He = 3,366.67 msnm Altura de la Estación de Referencia R = 150.00 mm/año *Retención de la Cuenca

Pc = 978.37 mm/año Precipitación Media de la Cuenca TD = 214.00 días *Duración de la Temporada Seca

Te = 10.65 º C Temperatura Estación de Referencia AR = 46.47 Km² Area de la cuenca

LS = 12.51 Latitud Sur Centro de Gravedad de la Cuenca

CALCULOS BASICOSCALCULO DEL COEFICIENTE DE ESCURRIMIENTO CALCULO DEL COEFICIENTE DE PRECIPITACION EFECTIVA

1.- TEMPERATURA MEDIA DE LA CUENCA (ºC) Coeficientes de Precipitación Efectiva

Tc = (Te-(0.0059*(Hc-He))

Tc = 8.2 C1 = (C*Pc-PEII)/(PEI-PEII) C1 = (C*Pc-PEIlI)/(PElI-PEIlI)

C1 = -0.474796021 C1 = 0.4351804288

2.- TEMPERATURA MEDIA DE LA CUENCA (ºF) C2 = (C*Pc-PEI)/(PEII-PEI) C2 = (C*Pc-PEIl)/(PEllI-PEII)

F = 1.8*Tc+32 C2 = 1.4747960211 C2 = 0.5648195712

F = 46.69264 2

CALCULO DEL COEFICIENTE DE AGOTAMIENTO

3.- EVAPOTRANSPIRACION POTENCIAL DE LA CUENCA (mm/año)

ETP = 0.0075*0.075*Ra*((n/N*100)^0.5)*F*(1+0.06*Hc/1000) 1.- Agotamiento muy rápido por temperatura elevada > 10º

ETP = 1,023.9 y R reducida a mediana (50 mm/año - 80 mm/año)

a1 = -0.00252*ln(AR)+0.034

4.- COEFICIENTE DE ESCURRIMIENTO (C) a1 = 0.0243264397

. Coeficiente de Temperatura (ºC) 2.- Agotamiento rápido por la retención entre

Ct = 300 + 25*Tc +0.05*Tc^3 (50 mm/año - 80 mm/año) y vegetación poco desarrollada (puna)

Ct = 531.26 a2 = -0.00252*ln(AR)+0.030

. Déficit de escurrimiento (D0,D1) a2 = 0.0203264397

D0 = 0.872*Pc+1.032*ETP-1380

D0 = 529.83 3.- Agotamiento mediano por retención mediana

D1 = Pc/(0.9+Pc^2/Ct^2)^0.5 (80 mm/año) y vegetación mezclada (pastos, bosques y terrenos cultivados)

D1 = 472.28 a3 = -0.00252*ln(AR)+0.026

5.- Coeficientes a3 = 0.0163264397

. C1 = 0.914-2.36E-4*Pc-0.0581*Tc

C1 = 0.21 4.- Agotamiento reducido por alta retención arriba de

. C2 = 0.682-0.0526*Tc-1.36E-4*Tc^2 (100 mm/año) y vegetación mezclada (pastos, bosques y terrenos cultivados)

C2 = 0.24 a4 = -0.00252*ln(AR)+0.023

. C3 = 1.813-1.87E-4*Pc-1.12E-3*ETP a4 = 0.0133264397

C3 = 0.48

. C4 = 5.21-7.31E-3*ETP+2.68E-6*ETP^2 5.- Coeficiente según fórmulas calibradas (19 cuencas)

C4 = 0.53 a5 = 3.1249E67*AR^(-0.1144)*ETP^(-19.336)*TD^(-3.369)*R^(-1.429)

. C5 = 3.16E12*Pc^-0.571*ETP^-3.688 a5 = 0.013701086

C5 = 0.49

. C6 = 6.47-0.0691*Ln(Pc)-0.8*Ln(ETP) 6.- Determinar el coeficiente de agotamiento

C6 = 0.45 a = 0.00900 a2 por que se adapta a la zona.

. C7 = (Pc-D0)/Pc

C7 = 0.46 DATOS DE ALGUNOS AUTORES SOBRE C:

. C8 = (Pc-D1)/Pc C = 0.53

C8 = 0.52 C = 0.42 Cultivos de Pastos - Riegos y Avenamientos - Ing. Enrique Blair

6.- Determinar C: C=(C3+C4+C5+C6+C7+C8)/6 (promedio) C = 0.80 Areas desnudas - Riegos y Avenamientos - Ing. Enrique Blair

C = 0.49 Se adopta este valor por ser el más representativo C = 0.60


Pastizales plano (T.R.100) - Manejo de cuencas Altoandinas - Ing.Absalon Vasquez

Pastizales planos > 7 % (T.R.500) - Manual de Hidrologia - Ing. Ven Te Chow

CUADRO Nº 19.02.

GENERACION DE CAUDALES MENSUALES PARA EL AÑO PROMEDIO MEDIANTE EL MODELO HIDROLOGICO

AREA: 46.47 km2 LATITUD : 12.51 LONGITUD : 75.59 ALTITUD : 3,789 msnm

PRECIPITACION MENSUAL CONTRIBUCION DE LA RETENCION CAUDALES MENSUALES

M PRECIPITACION PRECIPITACION EFECTIVA GASTO ABASTECIMIENTO GENERADOS AFORADOS

E TOTAL PE I PE I PE II PE III PE bi Gi ai Ai

S Relacion mes mm/mes m³/s m³/s

mm/mes (mm/mes) mm/mes mm/mes mm/mes mm/mes anterior/actual mm/mes mm/mes

JUL 15.1 (0.1) 0.0 1.6 3.4 2.60 0.334 20.45 23.05 0.400

AGO 16.6 (0.1) 0.0 1.8 3.7 2.90 0.252 15.47 18.37 0.319

SET 26.5 0.1 0.1 2.7 5.5 4.30 0.067 4.12 8.42 0.146

OCT 63.6 2.2 2.2 9.0 15.7 12.80 0.011 0.68 13.48 0.234

NOV 79.2 4.2 4.2 14.1 24.0 19.70 -0.05 7.50 27.20 0.472

DIC 147.4 30.9 30.9 61.3 87.7 76.20 -0.25 37.50 113.70 1.973

ENE 187.6 67.0 67.0 101.2 127.9 116.30 -0.45 67.50 183.80 3.189

FEB 205.2 84.6 84.6 118.8 145.5 133.90 -0.50 75.00 208.90 3.624

MAR 168.9 48.4 48.4 82.5 109.2 97.60 -0.40 60.00 157.60 2.734

ABR 51.0 1.2 1.2 6.1 11.0 8.90 0.763 46.81 55.71 0.967

MAY 12.2 (0.1) 0.0 1.4 2.8 2.20 0.578 35.42 37.62 0.653

JUN 5.2 (0.1) 0.0 0.6 1.3 1.00 0.441 27.04 28.04 0.486

TOTAL 978.4 238.20 238.60 401.10 537.70 478.40 2.446 150.00 1.65 247.50 73.00 1.266


Gasto de Retención Coef. de

Agotamiento

Abast. de Retención

CUADRO Nº 19.03.

CALCULO DE LA REGRESION TRIPLE EN BASE A LOS VALORESDEL AÑO PROMEDIO

M Qt Qt-1 P E CUADRO ESTADISTICO PARA EL CALCULO DE LA ECUACION DE REGRESION

E (X) (Y) (Z)

S mm/mes mm/mes mm/mes (X^2) (XY) (XZ) (Y^2) (YZ) (Z^2)

JUL 23.05 28.04 2.60 531.49 646.35 59.94 786.04 72.89 6.76 AGO 18.37 23.05 2.90 337.62 423.60 53.29 531.49 66.86 8.41 SET 8.42 18.37 4.30 70.92 154.74 36.21 337.62 79.01 18.49 OCT 13.48 8.42 12.80 181.74 113.53 172.56 70.92 107.79 163.84 NOV 27.20 13.48 19.70 739.84 366.69 535.84 181.74 265.58 388.09 DIC 113.70 27.20 76.20 12927.69 3092.64 8663.94 739.84 2072.64 5806.44 ENE 183.80 113.70 116.30 33782.44 20898.06 21375.94 12927.69 13223.31 13525.69 FEB 208.90 183.80 133.90 43639.21 38395.82 27971.71 33782.44 24610.82 17929.21 MAR 157.60 208.90 97.60 24837.76 32922.64 15381.76 43639.21 20388.64 9525.76 ABR 55.71 157.60 8.90 3104.04 8780.52 495.85 24837.76 1402.64 79.21 MAY 37.62 55.71 2.20 1415.01 2095.77 82.76 3104.04 122.57 4.84

JUN 28.04 37.62 1.00 786.04 1054.63 28.04 1415.01 37.62 1.00

AÑO 875.90 875.90 478.40 122353.80 108944.99 74857.83 122353.80 62450.37 47457.74

1.- FORMULAS EMPLEADAS EN LA ECUACION DE REGRESION MULTIPLE 2.- VALORES DE PARAMETROS DE LA REGRESION

J = (SUM X^2)-((SUM X)^2)/12 58,420.71

K = SUM XY-(SUM X)*SUM Y/12 45,011.90 B1 = 10.108 L = (SUM XZ)-SUM X * SUM Z/12 39,938.71 B2 = 0.198

M = (SUM Y^2)-(SUM Y)^2/12 58,420.71 B3 = 1.215

U = (SUM YZ)-SUM Y * SUM Z/12 27,531.24 0.9915

X = (SUM Z^2)-(SUM Z)^2/12 28,385.53 S = 10.462

O = (L*U-K*X)/(U^2-M*X) 0.20 1.359

P = (K*U-L*M)/(U^2-M*X) 1.22

Q = (SUM X-O * SUM Y - P * SUM Z)/12 10.11

V = (O*K) 8,905.27

W = P*L 48,530.37

((V+W)/J)^.5 0.99

S = ((J-V-W)/(9))^.5 10.46


r =

(1-r^2)^1/2*S =

r =

CUADRO Nº 20.01.




Pc = 1,065.01 mm/año Precipitación Media de la Cuenca TD = 214.00 días *Duración de la Temporada Seca

Te = 9.34 º C Temperatura Estación de Referencia AR = 3.66 Km² Area de la cuenca




Tc = (Te-(0.0059*(Hc-He))


C1 = -1.330718715 C1 = -0.602351909


F = 1.8*Tc+32 C2 = 2.3307187145 C2 = 1.6023519088

F = 40.76718 -1




ETP = 895.9 y R reducida a mediana (50 mm/año - 80 mm/año)

a1 = -0.00252*ln(AR)+0.034




Ct = 427.54 a2 = -0.00252*ln(AR)+0.030


D0 = 0.872*Pc+1.032*ETP-1380



D1 = 399.55 a3 = -0.00252*ln(AR)+0.026

5.- Coeficientes a3 = 0.0227331898

. C1 = 0.914-2.36E-4*Pc-0.0581*Tc



C2 = 0.42 a4 = -0.00252*ln(AR)+0.023

. C3 = 1.813-1.87E-4*Pc-1.12E-3*ETP a4 = 0.0197331898

C3 = 0.61


C4 = 0.81 a5 = 3.1249E67*AR^(-0.1144)*ETP^(-19.336)*TD^(-3.369)*R^(-1.429)

. C5 = 3.16E12*Pc^-0.571*ETP^-3.688 a5 = 0.2425202801

C5 = 0.76



. C7 = (Pc-D0)/Pc


. C8 = (Pc-D1)/Pc C = 0.53







CUADRO Nº 20.02.








JUL 16.4 (0.1) 0.0 1.8 3.6 4.70 0.334 20.45 25.15 0.034

AGO 18.0 0.0 0.0 1.9 3.9 5.10 0.252 15.47 20.57 0.028

SET 28.8 0.2 0.2 3.0 5.9 7.60 0.067 4.12 11.72 0.016

OCT 69.2 2.9 2.9 10.6 18.3 22.90 0.011 0.68 23.58 0.032

NOV 86.2 5.5 5.5 17.1 28.8 35.80 -0.05 7.50 43.30 0.059

DIC 160.5 40.9 40.9 74.1 100.8 116.90 -0.25 37.50 154.40 0.211

ENE 204.2 83.6 83.6 117.8 144.5 160.60 -0.45 67.50 228.10 0.311

FEB 223.4 102.8 102.8 137.0 163.7 179.80 -0.50 75.00 254.80 0.348

MAR 183.9 63.3 63.3 97.5 124.2 140.30 -0.40 60.00 200.30 0.273

ABR 55.5 1.5 1.5 7.0 12.5 15.80 0.763 46.81 62.61 0.085

MAY 13.2 (0.1) 0.0 1.5 3.0 3.90 0.578 35.42 39.32 0.054

JUN 5.7 (0.1) 0.0 0.7 1.4 1.80 0.441 27.04 28.84 0.039

TOTAL 1065.0 300.40 300.70 470.00 610.60 695.20 2.446 150.00 1.65 247.50 91.10 0.124



Agotamiento


CUADRO Nº 20.03.



E (X) (Y) (Z)



JUN 28.84 39.32 1.80 831.53 1133.75 51.91 1545.80 70.77 3.24

AÑO 1092.70 1092.70 695.20 190834.32 169979.08 132194.28 190834.32 111631.74 93650.10


J = (SUM X^2)-((SUM X)^2)/12 91,335.27


M = (SUM Y^2)-(SUM Y)^2/12 91,335.27 B3 = 1.136

U = (SUM YZ)-SUM Y * SUM Z/12 48,328.11 0.9943

X = (SUM Z^2)-(SUM Z)^2/12 53,374.85 S = 10.741

O = (L*U-K*X)/(U^2-M*X) 0.17 1.145

P = (K*U-L*M)/(U^2-M*X) 1.14


V = (O*K) 12,004.02

W = P*L 78,292.91

((V+W)/J)^.5 0.99

S = ((J-V-W)/(9))^.5 10.74


r =

(1-r^2)^1/2*S =

r =

CUADRO Nº 21.01.





Te = 8.88 º C Temperatura Estación de Referencia AR = 2,404.61 Km² Area de la cuenca




Tc = (Te-(0.0059*(Hc-He))


C1 = -1.854648423 C1 = -1.203146075


F = 1.8*Tc+32 C2 = 2.8546484235 C2 = 2.2031460754

F = 38.66765 -1





a1 = -0.00252*ln(AR)+0.034




Ct = 395.15 a2 = -0.00252*ln(AR)+0.030


D0 = 0.872*Pc+1.032*ETP-1380



D1 = 372.92 a3 = -0.00252*ln(AR)+0.026

5.- Coeficientes a3 = 0.0063814388

. C1 = 0.914-2.36E-4*Pc-0.0581*Tc



C2 = 0.49 a4 = -0.00252*ln(AR)+0.023

. C3 = 1.813-1.87E-4*Pc-1.12E-3*ETP a4 = 0.0033814388

C3 = 0.67


C4 = 0.95 a5 = 3.1249E67*AR^(-0.1144)*ETP^(-19.336)*TD^(-3.369)*R^(-1.429)

. C5 = 3.16E12*Pc^-0.571*ETP^-3.688 a5 = 0.3543256515

C5 = 0.94



. C7 = (Pc-D0)/Pc


. C8 = (Pc-D1)/Pc C = 0.53







CUADRO Nº 21.02.








JUL 17.8 (0.1) 0.0 1.9 3.9 6.30 0.334 20.45 26.75 24.019

AGO 17.0 (0.1) 0.0 1.8 3.7 6.00 0.252 15.47 21.47 19.279

SET 27.6 0.1 0.1 2.8 5.7 9.20 0.067 4.12 13.32 11.960

OCT 66.5 2.5 2.5 9.8 17.0 25.70 0.011 0.68 26.38 23.685

NOV 79.8 4.3 4.3 14.4 24.4 36.40 -0.05 7.50 43.90 39.412

DIC 147.9 31.2 31.2 61.7 88.2 120.10 -0.25 37.50 157.60 141.490

ENE 212.9 92.3 92.3 126.5 153.2 185.30 -0.45 67.50 252.80 226.958

FEB 228.5 107.9 107.9 142.1 168.8 200.90 -0.50 75.00 275.90 247.697

MAR 195.0 74.4 74.4 108.6 135.3 167.40 -0.40 60.00 227.40 204.155

ABR 59.7 1.9 1.9 8.0 14.1 21.40 0.763 46.81 68.21 61.241

MAY 11.9 (0.1) 0.0 1.3 2.8 4.60 0.578 35.42 40.02 35.926

JUN 5.7 (0.1) 0.0 0.7 1.4 2.20 0.441 27.04 29.24 26.248

TOTAL 1070.0 314.20 314.60 479.60 618.50 785.50 2.446 150.00 1.65 247.50 98.60 88.506



Agotamiento


CUADRO Nº 21.03.



E (X) (Y) (Z)



JUN 29.24 40.02 2.20 854.76 1169.94 64.32 1601.33 88.04 4.84

AÑO 1183.00 1183.00 785.50 227663.97 201810.94 163670.76 227663.97 138561.94 119773.41


J = (SUM X^2)-((SUM X)^2)/12 111,040.31


M = (SUM Y^2)-(SUM Y)^2/12 111,040.31 B3 = 1.133

U = (SUM YZ)-SUM Y * SUM Z/12 61,124.88 0.9951

X = (SUM Z^2)-(SUM Z)^2/12 68,355.89 S = 11.037

O = (L*U-K*X)/(U^2-M*X) 0.14 1.097

P = (K*U-L*M)/(U^2-M*X) 1.13


V = (O*K) 12,201.79

W = P*L 97,742.19

((V+W)/J)^.5 1.00

S = ((J-V-W)/(9))^.5 11.04


r =

(1-r^2)^1/2*S =

r =

CUADRO Nº 22.01.









Tc = (Te-(0.0059*(Hc-He))


C1 = -2.23250261 C1 = -1.680871335


F = 1.8*Tc+32 C2 = 3.2325026103 C2 = 2.6808713354

F = 36.61611 -1





a1 = -0.00252*ln(AR)+0.034




Ct = 364.96 a2 = -0.00252*ln(AR)+0.030


D0 = 0.872*Pc+1.032*ETP-1380



D1 = 349.03 a3 = -0.00252*ln(AR)+0.026

5.- Coeficientes a3 = 0.006847174

. C1 = 0.914-2.36E-4*Pc-0.0581*Tc



C2 = 0.55 a4 = -0.00252*ln(AR)+0.023

. C3 = 1.813-1.87E-4*Pc-1.12E-3*ETP a4 = 0.003847174

C3 = 0.70


C4 = 1.07 a5 = 3.1249E67*AR^(-0.1144)*ETP^(-19.336)*TD^(-3.369)*R^(-1.429)

. C5 = 3.16E12*Pc^-0.571*ETP^-3.688 a5 = 1.0197453584

C5 = 1.11



. C7 = (Pc-D0)/Pc


. C8 = (Pc-D1)/Pc C = 0.53







CUADRO Nº 22.02.








JUL 17.6 (0.1) 0.0 1.9 3.9 7.30 0.334 20.45 27.75 20.712

AGO 17.9 (0.1) 0.0 1.9 3.9 7.30 0.252 15.47 22.77 16.996

SET 29.1 0.2 0.2 3.0 5.9 10.80 0.067 4.12 14.92 11.136

OCT 73.2 3.4 3.4 11.9 20.5 35.00 0.011 0.68 35.68 26.628

NOV 88.5 5.9 5.9 18.2 30.5 51.20 -0.05 7.50 58.70 43.807

DIC 163.8 43.7 43.7 77.4 104.1 149.00 -0.25 37.50 186.50 139.182

ENE 223.3 102.7 102.7 136.9 163.6 208.50 -0.45 67.50 276.00 205.975

FEB 239.9 119.3 119.3 153.5 180.2 225.10 -0.50 75.00 300.10 223.960

MAR 199.6 79.0 79.0 113.2 139.9 184.80 -0.40 60.00 244.80 182.691

ABR 61.6 2.0 2.0 8.4 14.8 25.60 0.763 46.81 72.41 54.041

MAY 12.9 (0.1) 0.0 1.4 3.0 5.70 0.578 35.42 41.12 30.685

JUN 5.9 (0.1) 0.0 0.7 1.5 2.80 0.441 27.04 29.84 22.266

TOTAL 1133.3 355.80 356.20 528.40 671.80 913.10 2.446 150.00 1.65 247.50 109.20 81.507



Agotamiento


CUADRO Nº 22.03.



E (X) (Y) (Z)



JUN 29.84 41.12 2.80 890.21 1226.77 83.54 1690.58 115.13 7.84

AÑO 1310.60 1310.60 913.10 275000.31 245071.64 205082.05 275000.31 175027.90 155259.65


J = (SUM X^2)-((SUM X)^2)/12 131,861.41


M = (SUM Y^2)-(SUM Y)^2/12 131,861.41 B3 = 1.102

U = (SUM YZ)-SUM Y * SUM Z/12 75,302.32 0.9958

X = (SUM Z^2)-(SUM Z)^2/12 85,780.35 S = 11.078

O = (L*U-K*X)/(U^2-M*X) 0.14 1.014

P = (K*U-L*M)/(U^2-M*X) 1.10


V = (O*K) 14,641.84

W = P*L 116,115.03

((V+W)/J)^.5 1.00

S = ((J-V-W)/(9))^.5 11.08


r =

(1-r^2)^1/2*S =

r =

CUADRO Nº 23.01.









Tc = (Te-(0.0059*(Hc-He))


C1 = -3.296153029 C1 = -2.956745681


F = 1.8*Tc+32 C2 = 4.2961530288 C2 = 3.9567456813

F = 33.07659 -1





a1 = -0.00252*ln(AR)+0.034




Ct = 314.96 a2 = -0.00252*ln(AR)+0.030


D0 = 0.872*Pc+1.032*ETP-1380



D1 = 305.24 a3 = -0.00252*ln(AR)+0.026

5.- Coeficientes a3 = 0.0068347659

. C1 = 0.914-2.36E-4*Pc-0.0581*Tc



C2 = 0.65 a4 = -0.00252*ln(AR)+0.023

. C3 = 1.813-1.87E-4*Pc-1.12E-3*ETP a4 = 0.0038347659

C3 = 0.78


C4 = 1.32 a5 = 3.1249E67*AR^(-0.1144)*ETP^(-19.336)*TD^(-3.369)*R^(-1.429)

. C5 = 3.16E12*Pc^-0.571*ETP^-3.688 a5 = 7.1807321635

C5 = 1.58



. C7 = (Pc-D0)/Pc


. C8 = (Pc-D1)/Pc C = 0.53







CUADRO Nº 23.02.








JUL 18.7 0.0 0.0 2.0 4.1 10.30 0.334 20.45 30.75 23.065

AGO 18.7 0.0 0.0 2.0 4.1 10.30 0.252 15.47 25.77 19.330

SET 30.3 0.2 0.2 3.1 6.2 15.40 0.067 4.12 19.52 14.640

OCT 75.0 3.6 3.6 12.6 21.5 47.80 0.011 0.68 48.48 36.359

NOV 90.6 6.4 6.4 19.2 32.1 70.20 -0.05 7.50 77.70 58.273

DIC 167.7 47.3 47.3 81.3 108.0 186.90 -0.25 37.50 224.40 168.293

ENE 231.5 110.9 110.9 145.1 171.8 250.70 -0.45 67.50 318.20 238.640

FEB 249.1 128.5 128.5 162.7 189.4 268.30 -0.50 75.00 343.30 257.464

MAR 208.8 88.2 88.2 122.4 149.1 228.00 -0.40 60.00 288.00 215.991

ABR 64.2 2.3 2.3 9.1 16.0 36.40 0.763 46.81 83.21 62.408

MAY 13.4 (0.1) 0.0 1.5 3.1 7.80 0.578 35.42 43.22 32.411

JUN 6.2 (0.1) 0.0 0.7 1.5 3.90 0.441 27.04 30.94 23.201

TOTAL 1174.2 387.20 387.40 561.70 706.90 1,136.00 2.446 150.00 1.65 247.50 127.80 95.840



Agotamiento


CUADRO Nº 23.03.



E (X) (Y) (Z)



JUN 30.94 43.22 3.90 957.06 1336.96 120.65 1867.68 168.54 15.21

AÑO 1533.50 1533.50 1136.00 372533.72 332807.87 291626.03 372533.72 251094.32 230814.22


J = (SUM X^2)-((SUM X)^2)/12 176,565.74


M = (SUM Y^2)-(SUM Y)^2/12 176,565.74 B3 = 1.078

U = (SUM YZ)-SUM Y * SUM Z/12 105,923.19 0.9967

X = (SUM Z^2)-(SUM Z)^2/12 123,272.89 S = 11.332

O = (L*U-K*X)/(U^2-M*X) 0.13 0.917

P = (K*U-L*M)/(U^2-M*X) 1.08


V = (O*K) 17,590.56

W = P*L 157,819.53

((V+W)/J)^.5 1.00

S = ((J-V-W)/(9))^.5 11.33


r =

(1-r^2)^1/2*S =

r =

CUADRO Nº 24.01.

INFORMACION METEOROLOGICA GENERADAPrecipitación Efectiva II (mm)

M. CUENCA: LATITUD 14° 05' "S" DPTO. CUSCOPARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 71° 45' "W" PROV. CHUMBIVILCAS

ALTITUD 3,789.11 M.S.N.M. DIST. CCAPACMARCAFUENTE : MINISTERIO DE DEFENSASERVICIO NACIONAL DE METEOROLOGIA E HIDROLOGIA SENAMHI

Nº AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL PROMEDIO1 2000 107.64 198.53 98.52 3.70 2.20 1.10 1.00 2.40 3.30 20.80 5.40 51.60 496.19 41.352 2001 187.42 129.59 97.77 3.30 3.60 0.70 2.40 3.80 2.50 11.70 18.50 12.90 474.18 39.523 2002 50.80 175.36 112.12 9.70 1.70 0.40 7.10 1.20 4.70 18.00 13.30 44.80 439.18 36.604 2003 74.05 89.21 110.85 7.00 1.20 0.10 0.10 2.50 2.90 5.00 5.40 104.03 402.34 33.535 2004 57.30 149.04 30.80 6.10 1.40 1.50 2.80 2.10 3.60 5.00 4.90 101.35 365.90 30.496 2005 55.00 50.00 66.07 4.20 1.40 0.00 0.40 1.40 5.00 11.80 6.40 92.83 294.50 24.547 2006 170.72 97.44 106.88 14.30 0.20 1.10 0.00 3.10 0.80 9.20 40.30 41.80 485.85 40.498 2007 65.90 77.59 136.36 7.00 0.50 0.00 1.20 0.80 2.20 4.20 19.90 80.15 395.80 32.989 2008 155.87 104.20 28.40 2.30 0.70 1.00 0.00 0.30 1.10 5.90 6.90 50.80 357.47 29.79

10 2009 89.78 118.46 53.20 12.10 0.60 0.10 2.20 0.20 2.20 9.40 77.24 61.30 426.77 35.56




CUADRO Nº 24.02.


M. CUENCA: LATITUD 14° 10' "S" DPTO. CUSCOPARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 71° 40' "W" PROV. PARURO

ALTITUD 4,125.00 M.S.N.M. DIST. PILLPINTOFUENTE : MINISTERIO DE DEFENSASERVICIO NACIONAL DE METEOROLOGIA E HIDROLOGIA SENAMHI


10 2009 105.40 136.62 64.60 14.60 0.60 0.10 2.40 0.20 2.40 11.10 91.74 74.12 503.88 41.99




CUADRO Nº 24.03.





10 2009 87.54 119.97 81.59 17.90 0.40 0.10 2.20 0.10 2.30 9.00 70.91 61.70 453.70 37.81




CUADRO Nº 24.04.





10 2009 103.71 134.65 79.26 17.10 0.50 0.10 2.20 0.10 2.40 12.30 94.60 77.36 524.28 43.69




CUADRO Nº 24.05.





10 2009 109.71 143.09 89.13 19.80 0.50 0.10 2.40 0.10 2.50 12.50 96.85 81.29 557.98 46.50




CUADRO Nº 25.00.

NUMEROS ALEATORIOS (0.1)*Z

(*) = (Media = 0, desv std = 1)

Nº AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE

1 2000 -0.50 -0.50 -0.17 1.17 0.17 -1.50 0.83 -0.83 1.50 -0.83 -1.17 0.50

2 2001 -0.83 -0.83 -0.50 0.83 -0.17 1.50 0.50 -1.17 1.17 -1.17 -1.50 0.17

3 2002 -1.17 -1.17 -0.83 0.50 -0.50 1.17 0.17 -1.50 0.83 -1.50 1.50 -0.17

4 2003 -1.50 -1.50 -1.17 0.17 -0.83 0.83 -0.17 1.50 0.50 1.50 1.17 -0.50

5 2004 1.50 1.50 -1.50 -0.17 -1.17 0.50 -0.50 1.17 0.17 1.17 0.83 -0.83

6 2005 1.17 1.17 1.50 -0.50 -1.50 0.17 -0.83 0.83 -0.17 0.83 0.50 -1.17

7 2006 0.83 0.83 1.17 -0.83 1.50 -0.17 -1.17 0.50 -0.50 0.50 0.17 -1.50

8 2007 0.50 0.50 0.83 -1.17 1.17 -0.50 -1.50 0.17 -0.83 0.17 -0.17 1.50

9 2008 0.17 0.17 0.50 -1.50 0.83 -0.83 1.50 -0.17 -1.17 -0.17 -0.50 1.17

10 2009 -0.17 -0.17 0.17 1.50 0.50 -1.17 1.17 -0.50 -1.50 -0.50 -0.83 0.83

PROMEDIO 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

V. MAXIMA 1.50 1.50 1.50 1.50 1.50 1.50 1.50 1.50 1.50 1.50 1.50 1.50

V. MINIMA -1.50 -1.50 -1.50 -1.50 -1.50 -1.50 -1.50 -1.50 -1.50 -1.50 -1.50 -1.50

D.ESTANDAR 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00

CUADRO Nº 26.01.

CAUDALES GENERADOSPeriodos extendidos (mm)

M. CUENCA: LATITUD 14° 05' "S" 10.11 mm/mes

PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 71° 45' "W" 0.20 mm/mes

ALTITUD 3,789.11 M.S.N.M. 1.22 mm/mes

AREA 46.47 KM2 1.36 mm/mes


113.70 mm/mes1 2000 162.72 282.86 185.56 52.90 23.47 14.05 15.23 14.91 19.10 38.03 22.61 77.96 909.40 75.782 2001 252.14 216.32 171.03 49.09 23.97 17.74 17.21 16.55 18.00 26.30 35.75 33.08 877.19 73.103 2002 76.80 236.80 192.06 60.57 23.48 16.82 22.29 13.94 19.71 33.84 35.00 71.24 802.56 66.884 2003 112.14 138.66 170.65 52.60 20.84 15.48 13.07 17.77 17.83 21.75 22.56 140.31 743.65 61.975 2004 109.53 214.92 88.02 34.71 17.09 15.99 15.99 17.41 18.15 21.36 21.42 136.37 710.96 59.256 2005 105.50 93.32 110.90 36.47 16.99 13.69 12.17 15.35 18.99 29.34 24.37 126.14 603.24 50.277 2006 243.64 177.85 176.75 61.32 24.52 16.07 11.70 16.87 13.74 24.68 64.19 71.56 902.90 75.248 2007 105.02 125.85 201.84 56.96 23.57 14.09 12.32 13.74 14.37 18.28 37.68 116.99 740.71 61.739 2008 222.88 181.04 81.11 26.91 17.42 13.64 14.84 13.18 12.47 19.52 21.67 77.71 702.40 58.53

10 2009 134.35 180.40 110.67 48.74 21.16 12.83 16.90 13.02 13.32 23.49 107.48 106.99 789.34 65.78




B1 =

B2 =

B3 =

B4 =

QO =

CUADRO Nº 26.02.

CAUDALES GENERADOSPeriodos extendidos (m3/seg)

M. CUENCA: LATITUD 14° 05' "S"PARAMETRO: PRECIPITACION TOTAL MENSUAL (mm) LONGITUD 71° 45' "W"

ALTITUD 3,789.11 M.S.N.M.AREA 46.47 KM2


1 2000 2.82 4.91 3.22 0.92 0.41 0.24 0.26 0.26 0.33 0.66 0.39 1.35 15.78 1.312 2001 4.37 3.75 2.97 0.85 0.42 0.31 0.30 0.29 0.31 0.46 0.62 0.57 15.22 1.273 2002 1.33 4.11 3.33 1.05 0.41 0.29 0.39 0.24 0.34 0.59 0.61 1.24 13.92 1.164 2003 1.95 2.41 2.96 0.91 0.36 0.27 0.23 0.31 0.31 0.38 0.39 2.43 12.90 1.085 2004 1.90 3.73 1.53 0.60 0.30 0.28 0.28 0.30 0.32 0.37 0.37 2.37 12.33 1.036 2005 1.83 1.62 1.92 0.63 0.30 0.24 0.21 0.27 0.33 0.51 0.42 2.19 10.47 0.877 2006 4.23 3.09 3.07 1.06 0.43 0.28 0.20 0.29 0.24 0.43 1.11 1.24 15.66 1.318 2007 1.82 2.18 3.50 0.99 0.41 0.24 0.21 0.24 0.25 0.32 0.65 2.03 12.85 1.079 2008 3.87 3.14 1.41 0.47 0.30 0.24 0.26 0.23 0.22 0.34 0.38 1.35 12.19 1.02

10 2009 2.33 3.13 1.92 0.85 0.37 0.22 0.29 0.23 0.23 0.41 1.87 1.86 13.70 1.14




CUADRO Nº 27.01.





AREA 3.66 KM2 1.15 mm/mes


154.40 mm/mes1 2000 177.23 293.55 190.03 48.07 20.70 12.88 14.11 14.11 17.92 40.67 22.23 85.44 936.96 78.082 2001 263.82 222.63 176.65 44.84 21.70 15.92 15.95 15.86 16.82 27.15 38.30 34.15 893.80 74.483 2002 84.42 248.45 198.48 57.16 20.92 15.18 21.92 13.09 19.03 36.12 35.76 77.89 828.42 69.034 2003 121.55 147.77 179.36 49.65 18.69 13.96 12.01 16.54 16.62 20.74 21.62 150.23 768.76 64.065 2004 115.98 224.29 89.15 32.77 15.66 14.77 15.06 16.22 17.21 20.34 20.49 146.37 728.32 60.696 2005 111.86 99.31 118.85 34.72 15.61 12.56 11.35 14.30 18.43 29.94 23.79 135.96 626.67 52.227 2006 253.76 183.14 183.16 59.73 21.83 14.60 10.86 16.00 12.77 24.84 70.27 78.03 929.00 77.428 2007 113.68 134.32 210.93 53.50 20.73 12.67 11.63 12.79 13.66 17.57 40.24 126.15 767.86 63.999 2008 232.93 187.19 81.71 24.75 15.79 12.69 13.59 12.17 11.81 19.14 21.49 85.05 718.33 59.86

10 2009 143.79 189.28 115.55 47.70 19.09 11.74 15.77 12.05 12.77 23.93 117.09 114.84 823.60 68.63




B1 =

B2 =

B3 =

B4 =

QO =

CUADRO Nº 27.02.

CAUDALES GENERADOS


ALTITUD 4,125.00 M.S.N.M.AREA 3.66 KM2


1 2000 0.24 0.40 0.26 0.07 0.03 0.02 0.02 0.02 0.02 0.06 0.03 0.12 1.28 0.112 2001 0.36 0.30 0.24 0.06 0.03 0.02 0.02 0.02 0.02 0.04 0.05 0.05 1.22 0.103 2002 0.12 0.34 0.27 0.08 0.03 0.02 0.03 0.02 0.03 0.05 0.05 0.11 1.13 0.094 2003 0.17 0.20 0.25 0.07 0.03 0.02 0.02 0.02 0.02 0.03 0.03 0.21 1.05 0.095 2004 0.16 0.31 0.12 0.05 0.02 0.02 0.02 0.02 0.02 0.03 0.03 0.20 0.99 0.086 2005 0.15 0.14 0.16 0.05 0.02 0.02 0.02 0.02 0.03 0.04 0.03 0.19 0.86 0.077 2006 0.35 0.25 0.25 0.08 0.03 0.02 0.02 0.02 0.02 0.03 0.10 0.11 1.27 0.118 2007 0.16 0.18 0.29 0.07 0.03 0.02 0.02 0.02 0.02 0.02 0.06 0.17 1.05 0.099 2008 0.32 0.26 0.11 0.03 0.02 0.02 0.02 0.02 0.02 0.03 0.03 0.12 0.98 0.08

10 2009 0.20 0.26 0.16 0.07 0.03 0.02 0.02 0.02 0.02 0.03 0.16 0.16 1.12 0.09




CUADRO Nº 28.01.





AREA 2,404.61 KM2 1.10 mm/mes


157.60 mm/mes1 2000 228.53 308.48 217.76 49.65 20.28 13.23 14.44 14.60 17.18 33.01 20.06 88.39 1025.61 85.472 2001 307.17 261.36 209.62 49.59 21.95 15.74 16.47 15.88 16.77 30.43 31.57 30.96 1007.51 83.963 2002 104.41 225.37 191.05 53.26 19.05 14.96 24.49 13.83 18.60 42.46 41.12 74.12 822.72 68.564 2003 122.06 129.07 208.39 48.01 18.04 13.88 12.41 16.87 16.75 19.87 21.19 126.08 752.61 62.725 2004 115.81 224.40 86.78 30.45 14.60 14.72 15.68 16.40 18.24 19.71 21.26 104.81 682.87 56.916 2005 120.22 109.42 84.37 27.36 13.34 12.36 11.69 14.22 18.70 24.74 20.25 140.54 597.20 49.777 2006 225.99 194.36 199.94 56.35 20.10 13.76 10.96 15.22 12.47 28.92 75.35 63.73 917.16 76.438 2007 108.30 133.44 229.91 49.51 19.21 12.47 11.54 12.56 13.76 16.16 28.04 88.47 723.39 60.289 2008 219.81 203.18 72.79 22.68 15.00 12.86 13.76 12.51 11.91 19.39 18.96 72.75 695.59 57.97

10 2009 119.73 163.21 126.31 50.29 18.47 11.75 15.72 12.09 12.96 21.78 92.84 94.41 739.57 61.63




B1 =

B2 =

B3 =

B4 =

QO =

CUADRO Nº 28.02.



ALTITUD 4,244.01 M.S.N.M.AREA 2,404.61 KM2


1 2000 205.17 276.95 195.50 44.58 18.21 11.88 12.96 13.10 15.42 29.64 18.01 79.35 920.77 76.732 2001 275.77 234.64 188.19 44.53 19.71 14.13 14.79 14.26 15.06 27.32 28.34 27.79 904.52 75.383 2002 93.73 202.33 171.52 47.81 17.10 13.43 21.99 12.42 16.70 38.12 36.91 66.55 738.62 61.554 2003 109.58 115.88 187.09 43.10 16.20 12.46 11.15 15.14 15.03 17.84 19.03 113.19 675.68 56.315 2004 103.97 201.46 77.91 27.34 13.11 13.22 14.08 14.73 16.38 17.70 19.09 94.10 613.07 51.096 2005 107.93 98.23 75.75 24.56 11.97 11.10 10.50 12.76 16.79 22.21 18.18 126.17 536.16 44.687 2006 202.89 174.50 179.50 50.59 18.04 12.35 9.84 13.66 11.19 25.97 67.65 57.22 823.40 68.628 2007 97.23 119.80 206.41 44.45 17.24 11.20 10.36 11.27 12.35 14.51 25.18 79.43 649.44 54.129 2008 197.34 182.41 65.35 20.36 13.46 11.55 12.35 11.23 10.70 17.41 17.02 65.31 624.49 52.04

10 2009 107.49 146.53 113.40 45.15 16.59 10.55 14.12 10.85 11.64 19.55 83.35 84.76 663.97 55.33




CUADRO Nº 29.01.





AREA 1,998.85 KM2 1.00 mm/mes


186.50 mm/mes1 2000 224.54 319.09 215.79 48.66 19.58 12.64 13.63 14.10 16.93 40.03 20.98 102.52 1048.49 87.372 2001 312.68 271.01 212.14 48.02 21.25 14.98 15.73 15.39 16.02 31.64 37.96 33.91 1030.72 85.893 2002 109.73 242.25 202.43 55.77 19.05 14.34 22.25 12.91 18.30 44.42 41.68 83.27 866.40 72.204 2003 137.60 142.27 202.25 47.59 17.44 13.11 11.71 16.04 16.00 19.52 21.24 145.12 789.88 65.825 2004 131.44 234.83 88.08 30.42 14.42 14.00 14.93 15.62 17.70 19.98 20.97 133.39 735.77 61.316 2005 124.35 119.99 99.70 29.22 13.25 11.74 11.07 13.41 17.49 28.66 21.89 145.54 636.32 53.037 2006 239.90 193.75 197.02 59.18 19.77 13.33 10.42 14.64 11.93 27.75 76.42 74.81 938.92 78.248 2007 116.78 143.52 232.28 50.36 18.61 11.84 11.09 11.98 13.09 16.23 34.43 110.25 770.45 64.209 2008 230.32 197.88 74.85 22.34 14.37 12.22 12.92 11.80 11.63 19.99 20.64 88.44 717.38 59.78

10 2009 136.50 177.51 122.68 47.63 17.56 11.14 14.85 11.41 12.46 24.51 116.62 112.51 805.38 67.11




B1 =

B2 =

B3 =

B4 =

QO =

CUADRO Nº 29.02.





1 2000 167.57 238.13 161.04 36.31 14.61 9.43 10.18 10.52 12.64 29.88 15.66 76.51 782.48 65.212 2001 233.35 202.25 158.32 35.84 15.86 11.18 11.74 11.49 11.95 23.61 28.33 25.31 769.21 64.103 2002 81.89 180.79 151.07 41.62 14.22 10.70 16.61 9.64 13.66 33.15 31.10 62.14 646.58 53.884 2003 102.69 106.17 150.94 35.52 13.01 9.79 8.74 11.97 11.94 14.57 15.85 108.30 589.48 49.125 2004 98.09 175.25 65.74 22.70 10.76 10.45 11.14 11.66 13.21 14.91 15.65 99.55 549.10 45.766 2005 92.80 89.55 74.41 21.81 9.89 8.76 8.26 10.01 13.05 21.39 16.33 108.62 474.87 39.577 2006 179.04 144.59 147.03 44.17 14.76 9.95 7.78 10.92 8.91 20.71 57.03 55.83 700.70 58.398 2007 87.15 107.11 173.35 37.58 13.89 8.84 8.27 8.94 9.77 12.11 25.69 82.28 574.98 47.929 2008 171.89 147.68 55.86 16.67 10.72 9.12 9.64 8.80 8.68 14.92 15.40 66.00 535.38 44.61

10 2009 101.87 132.47 91.55 35.54 13.10 8.31 11.08 8.52 9.30 18.29 87.03 83.97 601.04 50.09




CUADRO Nº 30.01.





AREA 2,008.72 KM2 0.92 mm/mes


224.40 mm/mes1 2000 236.02 325.28 220.94 45.94 18.21 11.93 13.05 13.61 16.14 40.08 20.44 103.16 1064.80 88.732 2001 318.58 271.17 214.89 45.39 20.10 14.06 15.07 15.07 15.48 32.36 37.89 33.88 1033.93 86.163 2002 112.67 246.34 204.29 53.42 17.59 13.44 22.98 12.55 17.76 45.71 42.57 85.15 874.47 72.874 2003 138.42 145.37 210.73 45.75 16.30 12.32 11.11 15.39 15.34 18.95 20.62 147.28 797.56 66.465 2004 130.55 238.61 89.73 29.46 13.58 13.39 14.49 14.98 17.14 19.20 20.45 132.05 733.62 61.146 2005 127.82 120.23 100.36 27.72 12.51 11.11 10.66 12.89 17.54 27.78 20.82 151.54 640.98 53.417 2006 245.18 198.60 203.27 57.56 18.23 12.51 9.89 14.21 11.37 28.62 80.96 76.04 956.44 79.708 2007 120.36 146.66 238.29 47.86 17.11 11.09 10.59 11.51 12.76 15.67 33.73 111.19 776.84 64.749 2008 236.42 204.93 75.59 21.25 13.49 11.72 12.23 11.20 11.02 19.56 19.81 88.26 725.50 60.46

10 2009 138.77 181.23 128.85 48.63 16.60 10.52 14.36 10.85 12.06 23.91 116.03 112.63 814.45 67.87




B1 =

B2 =

B3 =

B4 =

QO =

CUADRO Nº 30.02.





1 2000 177.01 243.95 165.70 34.45 13.66 8.95 9.79 10.20 12.10 30.06 15.33 77.37 798.57 66.552 2001 238.92 203.37 161.16 34.04 15.07 10.55 11.30 11.30 11.61 24.27 28.42 25.41 775.42 64.623 2002 84.50 184.74 153.21 40.06 13.19 10.08 17.23 9.41 13.32 34.28 31.93 63.86 655.82 54.654 2003 103.81 109.02 158.04 34.31 12.23 9.24 8.33 11.54 11.51 14.21 15.46 110.45 598.15 49.855 2004 97.91 178.95 67.29 22.10 10.18 10.04 10.87 11.23 12.86 14.40 15.34 99.04 550.19 45.856 2005 95.86 90.17 75.26 20.79 9.38 8.33 8.00 9.67 13.15 20.83 15.61 113.65 480.71 40.067 2006 183.88 148.95 152.44 43.17 13.68 9.38 7.42 10.65 8.52 21.46 60.72 57.02 717.30 59.788 2007 90.27 109.99 178.71 35.89 12.83 8.32 7.94 8.63 9.57 11.75 25.30 83.39 582.60 48.559 2008 177.31 153.69 56.69 15.94 10.12 8.79 9.18 8.40 8.26 14.67 14.86 66.20 544.11 45.34

10 2009 104.07 135.92 96.63 36.47 12.45 7.89 10.77 8.14 9.05 17.94 87.02 84.47 610.81 50.90




CUADRO Nº 31.01.

RESUMEN DE CAUDALES MEDIOS MENSUALES GENERADOS

DATOS ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL PROMEDIO

NRO. DATOS 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 SUMATORIA m3/s 26.45 32.06 25.83 8.33 3.69 2.61 2.63 2.65 2.87 4.45 6.81 16.63 135.01 11.25 PROMEDIO m3/s 2.65 3.21 2.58 0.83 0.37 0.26 0.26 0.27 0.29 0.45 0.68 1.66 13.50 1.13 Q. MAXIMA m3/s 4.37 4.91 3.50 1.06 0.43 0.31 0.39 0.31 0.34 0.66 1.87 2.43 15.78 1.31 Q. MINIMA m3/s 1.33 1.62 1.41 0.47 0.30 0.22 0.20 0.23 0.22 0.32 0.37 0.57 10.47 0.87 D.ESTANDAR m3/s 1.06 0.92 0.76 0.19 0.05 0.03 0.05 0.03 0.05 0.10 0.45 0.57 1.62 0.13 VARIANZA % 1.25 0.95 0.63 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.22 0.36 2.90 0.02 C.V. 0.40 0.29 0.29 0.23 0.14 0.10 0.20 0.11 0.16 0.24 0.66 0.34 0.12 0.12 Q. 75% m3/s 1.93 2.58 2.07 0.70 0.33 0.24 0.23 0.25 0.26 0.37 0.38 1.28 12.41 1.03 Q. de Diseño m3/s 1.93 2.58 2.07 0.70 0.33 0.24 0.23 0.25 0.26 0.37 0.38 1.28 10.63

*Para efectos de diseño se asumen los caudales al 75% de persistencia

CUADRO Nº 31.02.







CUADRO Nº 31.03.





CUADRO Nº 31.04.







CUADRO Nº 31.05.





CUADRO Nº 32.00.

Q. de Diseño Determinado por Escorrentia Superficial

Mesm3/s lts/seg m3/s lts/seg m3/s lts/seg m3/s lts/seg m3/s lts/seg

Enero 1.93 1,930.44 0.16 163.42 108.98 108,983.71 98.37 98,373.42 100.87 100,874.91Febrero 2.58 2,583.74 0.21 213.55 139.14 139,139.78 122.40 122,399.21 125.38 125,375.04Marzo 2.07 2,073.01 0.17 169.03 110.07 110,065.11 93.91 93,908.94 96.55 96,546.13Abril 0.70 704.29 0.05 52.04 32.34 32,337.40 26.94 26,937.68 25.99 25,992.75Mayo 0.33 334.75 0.02 23.81 14.56 14,556.88 11.80 11,802.99 11.11 11,105.49Junio 0.24 243.33 0.02 17.42 11.45 11,451.41 9.06 9,058.03 8.60 8,602.31Julio 0.23 227.74 0.02 16.56 10.94 10,944.94 8.68 8,682.99 8.25 8,250.26Agosto 0.25 245.22 0.02 17.97 11.97 11,972.82 9.44 9,441.18 9.11 9,109.63Septiembre 0.26 256.59 0.02 18.94 12.59 12,589.34 10.07 10,068.94 9.74 9,737.35Octubre 0.37 374.34 0.03 28.93 18.40 18,397.90 15.93 15,925.61 15.66 15,664.14Noviembre 0.38 378.10 0.03 29.19 18.31 18,313.30 15.71 15,708.04 15.48 15,483.05Diciembre 1.28 1,276.29 0.11 108.79 61.42 61,422.96 60.29 60,290.59 61.04 61,044.04Qmax m3/s 2.58 2,583.74 0.21 213.55 139.14 139,139.78 122.40 122,399.21 125.38 125,375.04

10.63





CUENCA 04 Valle de Oquero y

Chaccomayo

CUENCA 05 Valle de Cayo Mani y

Ornillos

Documents

Calculo Hidrologico Apurimac Final - Capacmarca