Cálculos y Resultados Hidrolog

Mul tiservicios “ Copysistem”

FACULTAD CIENCIAS AGRARIAS “Escuela e I!"e!ier#a A"r#cola”

UNI$ERSIDAD NACI%NAL “Sa!tia"o A!t&!e' e Mayolo”

CÁLCULOS Y RESULTADOS RESULTADOS

CUADRO Nº01 ESTACION DE ANTA

AÑO

ENE FEB 171.2 0 67.00 1953 102.8 169.0 0 0 1954 128.5 0 1955 97.90 1956

66.0 66.000 95.3 95.300 113.7 0 1957 73.30 147.1 0 195 40.40 113.3 123.8 0 0 1959 148.3 0 65.60 1960 121.5 122.9 0 0 1961 153.4 121.7 0 0 196! 109.0 0 1963 54.90

1964

MAR 117.1 0 147.5 0 148.5 0 121.7 0 157.7 0 155.8 0 105.0 0 137.8 0 182.5 0 198.7 0 125.5 0 142.4 0

ABR MAY JUN 46.20 30.20 5.40 78.40 25.40 0.80 84.80 34.40 0.00 69.90 22.70 0.60 85.30 24.30 0.60 94.50 74.40 0.30 119.7 0 32.80 0.90 113.4 0 31.90 3.70 80.60 14.20 0.40 117.6 0 11.80 0.90 100.7 0 34.20 8.50

57.7 57.700 76.3 76.300 49.40 22.40 0.00 104.4 0 53.40 67.80 43.50 20.50 0.00 1965 171.6 197.2 0 0 44.10 22.90 1.40 1966 94.10

1967

78.7 78 .700 52 52.9 .900 96 96.7 .700 113.5 48.800 19.3 19.300 0 196 48.8 135.8 101.8 0 84.80 0 1969 134.9 184.2 0 0 1970 70.60 136.0 195.0 250.0 0 0 0 1971 112.0 133.7 0 73.00 0 197! 155.2 109.0 141.0 0 0 0 1973 123.0 165.0 225.0 0 0 0 1974 149. 9.00 91 91.0 .000 93 93.0 .000 1975 14 HIDROLOGIA

()

18.1 18 .100 10.40 .40 0.10 .10 67.80

7.10

1.10

AG JUL O SET 27.5 0.10 0.10 0 22.2 0.30 1.80 0 15.3 0.00 4.30 0 20.0 0.00 1.60 0 27.6 0.00 0.70 0 10.5 0.00 1.20 0 13.5 0.20 9.40 0 24.7 0.10 1.00 0 19.8 0.00 0.40 0 16.4 0.00 0.50 0 12.8 5.30 0 7.60 10.3 6.20 1.70 0 38.6 0.50 0.40 0 10 . 22.1 3 4.00 0 11.0 0.40 .40 0 9.70 17.9 0.80 6.20 0

DIC

TOTA L

PRO M

OCT

NOV

70.60

134.5 0 52.20 722.10 60.1

57.60 50.90 65.50 722.20 60.1 32.90 25.00 72.00 643.60 53.6 29.80

6.50

8.10

442.20 36.8

78.00 24.20 54.30 639.70 53.3 61.00

8.00

38.60 631.80 52.6 148.7 77.20 35.40 0 779.90 64.9 39.90 64.00 33.60 664.00 55.3 118.7 119.7 21.00 0 0 801.70 66.8 38.80 46.10 53.40 759.30 63.2 116.8 39.70 91.90 0 706.90 58.9 41.60 56.80 31.00 495.80 41.3 62.40 34.10 83.00 508.60 42.3 105.8 0 43.10 55.50 761.80 69.2 100.8 0 27.40 27.80 434.00 36.1

61.00 32.30 39.40 415.20 34.6 199.2 97.20 48.10 7.90 1.70 6.20 5.70 47.90 81.30 0 817.60 68.1 46.3 40.10 1.10 0.10 0.00 6.10 0 64.20 56.20 81.50 685.30 57.1 78.00 20.30 0.00 0.00 4.00 7.90 16.0 90.00 18.00 1.00 4.00 2.00 0 37.0 64.0 11.00 1.00 0 0.00 0.00 0 142.0 19.0 26.0 63.00 0 3.00 00..00 0 0 75.0 75 .000 12.00 .00 12 12.0 .0 0.00 .00 5.00 .00 49 49.6 .6

21.50 28.30 92.60 833.60 69.4 17.00 38.00 74.00 578.70 48.2 117.0 54.00 37.00 0 726.20 60.5 54.20 39.90 44.00 904.10 75.3 96 96.0 .000 14 1433.0 37.00 7.00 76 7622.60 .60 63.5




0

0

0

0

168.5 0 93.40 25.60 25.50 0.00 0.00 0.00 8.00 1976 85.30 184.6 48.0 0 40.80 29.60 37.30 0.00 2.80 0.00 0 1977 58.20 130.0 179.0 15.0 49.0 0 0 57.00 11.00 0.00 0.00 0 0 197 67.00 43.0 .00 0 1979 64.00 55.00 64.00 32.00 7.00 3.00 0.20 0.00 205.0 135.2 16.5 0 0 37.80 0.00 0.00 00..30 0 0.00 190 67.00 142.0 0 84.50 49.20 33.10 0.20 1.40 1.40 3.30 191 80.80 138.0 106.8 0 0 52.00 0.00 0.00 0.00 2.00 7.00 19! 51.10 128.7 16.2 14.8 91.600 37.3 37.300 0 72.00 44 44.30 0 0.00 0.00 0 193 91.6 280.0 214.6 30.0 0 0 70.20 37.10 0.00 0.00 0.00 0 194 81.60 12.0 68.3 24.0 .000 86 86.0 .000 34 34.4 .400 70 70.0 .000 23.00 .00 0.00 .00 0.00 .00 0 0 195 24 118.0 115.2 0 84.20 64 64.00 0 17.00 0.00 0.00 8.00 1.80 196 146.1 139.8 24.3 0 90.00 0 78.60 23.30 0.00 0.00 0.00 0 197 137.3 137.8 106.0 22.2 0 0 76.40 0 14.20 0.00 0.00 2.00 0 19 135.0 122.8 136.6 122.0 26.4 0 0 0 0 19.00 3.00 0.00 8.00 0 199 101.0 17.0 0 79.70 39 39.20 7.60 0 0.00 0.00 6.00 1990 79.70 211.0 52.800 59.5 59.500 0 34.50 21.50 0.00 0.00 0.00 7.50 1991 52.8 100.1 12.300 79.0 79.000 0 65.70 12.80 9.00 1.00 6.10 6.70 199! 12.3 131.4 128.0 174.4 105.8 65.5 0 0 0 0 18.10 2.00 0.00 0.00 0 1993 115.0 131.8 23.2 MEDI 9 9 69.04 24.73 3.32 0.63 4.16 0 A 94.91 18.1 9.54 51.35 .35 50 50.8 .800 30 30.0 .055 23 23.7 .700 6.91 6.91 1.45 .45 5.1 5.12 0 DESV 39.54

20.20 13.90 48.20 488.60 40.7 121.0 30.60 0 59.00 611.90 50.9 41.00 44.00 48.00 641.00 53.4 0.00 36.00 33.00 337.20 28.1 140.0 113.0 100.0 0 0 0 814.80 67.9 26.20 65.30 79.90 567.30 47.2 147.0 100.4 0 0 67.00 671.30 55.9 111.8 40.10 58.80 0 615.60 51.3 60.30 31.90 84.90 890.60 74.2 9.00

22.30 78.00 427.00 35.5

23.90 54.40 85.30 571.80 47.6 2.00

59.00 75.00 638.10 53.1

41.30 88.70 63.70 689.60 57.4 126.0 0 24.00 69.05 791.85 65.9 124.5 0 99.80 74.40 628.90 52.4 88.60 41.50 63.60 580.50 48.3 56.60 20.50 10.10 379.90 31.6 211.3 66.40 93.20 0 996.10 83.0 56.50 56.35 73.35 36.25 35.75 42.65

CUADRO Nº0! ESTACION DE C"ANCOS AÑO

ENE

FEB

MAR

ABR

MAY

JU N

172.1 0 28.70 93.30 0.40 0.00 5.80 1953 193.0 157.9 0 0 57.40 53.90 12.20 0.00 1954 113.6 191.1 0 0 43.10 5.50 0.00 1955 21.30 HIDROLOGIA

()

JUL AGO SET

OCT

NOV

DIC

TOTAL

0.00

0.00

0.00 31.50 50.20 38.00

420.00

0.00

0.00

8.60 71.70 58.10 21.50

634.30

0.00

0.00

7.90 29.40 15.80 10.70

438.40




0

0

0

0

168.5 0 93.40 25.60 25.50 0.00 0.00 0.00 8.00 1976 85.30 184.6 48.0 0 40.80 29.60 37.30 0.00 2.80 0.00 0 1977 58.20 130.0 179.0 15.0 49.0 0 0 57.00 11.00 0.00 0.00 0 0 197 67.00 43.0 .00 0 1979 64.00 55.00 64.00 32.00 7.00 3.00 0.20 0.00 205.0 135.2 16.5 0 0 37.80 0.00 0.00 00..30 0 0.00 190 67.00 142.0 0 84.50 49.20 33.10 0.20 1.40 1.40 3.30 191 80.80 138.0 106.8 0 0 52.00 0.00 0.00 0.00 2.00 7.00 19! 51.10 128.7 16.2 14.8 91.600 37.3 37.300 0 72.00 44 44.30 0 0.00 0.00 0 193 91.6 280.0 214.6 30.0 0 0 70.20 37.10 0.00 0.00 0.00 0 194 81.60 12.0 68.3 24.0 .000 86 86.0 .000 34 34.4 .400 70 70.0 .000 23.00 .00 0.00 .00 0.00 .00 0 0 195 24 118.0 115.2 0 84.20 64 64.00 0 17.00 0.00 0.00 8.00 1.80 196 146.1 139.8 24.3 0 90.00 0 78.60 23.30 0.00 0.00 0.00 0 197 137.3 137.8 106.0 22.2 0 0 76.40 0 14.20 0.00 0.00 2.00 0 19 135.0 122.8 136.6 122.0 26.4 0 0 0 0 19.00 3.00 0.00 8.00 0 199 101.0 17.0 0 79.70 39 39.20 7.60 0 0.00 0.00 6.00 1990 79.70 211.0 52.800 59.5 59.500 0 34.50 21.50 0.00 0.00 0.00 7.50 1991 52.8 100.1 12.300 79.0 79.000 0 65.70 12.80 9.00 1.00 6.10 6.70 199! 12.3 131.4 128.0 174.4 105.8 65.5 0 0 0 0 18.10 2.00 0.00 0.00 0 1993 115.0 131.8 23.2 MEDI 9 9 69.04 24.73 3.32 0.63 4.16 0 A 94.91 18.1 9.54 51.35 .35 50 50.8 .800 30 30.0 .055 23 23.7 .700 6.91 6.91 1.45 .45 5.1 5.12 0 DESV 39.54

20.20 13.90 48.20 488.60 40.7 121.0 30.60 0 59.00 611.90 50.9 41.00 44.00 48.00 641.00 53.4 0.00 36.00 33.00 337.20 28.1 140.0 113.0 100.0 0 0 0 814.80 67.9 26.20 65.30 79.90 567.30 47.2 147.0 100.4 0 0 67.00 671.30 55.9 111.8 40.10 58.80 0 615.60 51.3 60.30 31.90 84.90 890.60 74.2 9.00

22.30 78.00 427.00 35.5

23.90 54.40 85.30 571.80 47.6 2.00

59.00 75.00 638.10 53.1

41.30 88.70 63.70 689.60 57.4 126.0 0 24.00 69.05 791.85 65.9 124.5 0 99.80 74.40 628.90 52.4 88.60 41.50 63.60 580.50 48.3 56.60 20.50 10.10 379.90 31.6 211.3 66.40 93.20 0 996.10 83.0 56.50 56.35 73.35 36.25 35.75 42.65

CUADRO Nº0! ESTACION DE C"ANCOS AÑO

ENE

FEB

MAR

ABR

MAY

JU N

172.1 0 28.70 93.30 0.40 0.00 5.80 1953 193.0 157.9 0 0 57.40 53.90 12.20 0.00 1954 113.6 191.1 0 0 43.10 5.50 0.00 1955 21.30 HIDROLOGIA

()

JUL AGO SET

OCT

NOV

DIC

TOTAL

0.00

0.00

0.00 31.50 50.20 38.00

420.00

0.00

0.00

8.60 71.70 58.10 21.50

634.30

0.00

0.00

7.90 29.40 15.80 10.70

438.40



UNI$ERSIDAD NACI%NAL “Sa!tia"o A!t&!e' e Mayolo” 1956

1957

0.00 .00 11.7 11.700

195 42.80 1959 79.00 1960

176.2 0

1961 94.20 196!

105.1 0

185.0 192.0 185 0 0 333.3 70.5 70.500 0 107.0 0 46.20 164.0 115.4 0 0 157.9 19.40 0 189.5 0 60.30 175.3 91.70 0

47.40 97.20 72.90 120.3 40.7 40.700 40.1 40.100 0 1964 91.70 44.30 92.90 1965 151.8 208.9 0 0 1966 41.30 69.20 11.50 83.20 1967 24.90 79.20 89.30 196 1963

80.80 43.70 96.00 216.9 22.5 22.500 94.8 94.800 0 1970 158.6 110.0 179.2 0 0 0 1971 142.2 79.0 79.000 49.2 49.200 0 197! 110.0 100.9 0 0 75.90 1973 154.9 121.5 209.6 0 0 0 1974 120.1 0 68.10 1975 95.40 201.7 0 89.30 1976 62.00 101.4 137.3 0 0 10.90 1977 135.5 66.2 66.200 54.7 54.700 0 197 108.1 49.3 49.300 24.3 24.300 0 1979 190.1 170.7 0 0 190 54.00 1969

55.90

9.10

1.80

98.40 4.90 0.00 161.0 0 76.50 3.60 94.20 24.30 0.00 151.9 0 0.00 0.00

0.00

0.00 18 1 8.20 3.40

3.00

7.30

475.70 724.70

0.00

0.00

114.8 0.00 0 57.70 33.40

0.00

0.00

8.50 44.30

0.00

496.00

0.00

0.00

0.00 40.10 73.90 58.00

648.90

0.00

0.00

565.60 537.80 567.10

6.10

22.50 6.70 0.00 107.5 0 22.50 0.00

0.00

0.00

4.90 14.60 19.40 21.30 121.5 0.00 0.00 43.10 0

0.00

0.00

0.00

95.90 34.00 0.00

8.50

0.00

9.10

46.20 10.30 106.4 0.00 27.90 77.70 0

568.50

57.70 37.10 0.00 18.20 0.00 0.00

0.00 0.00

0.00 0.00 17.00 6.70 3.00 0.00 49.20 26.10 49.20 49.20

322.60 420.80

17.00 12.10 0.00 3.00 6.50 0.00 78.30 8.50 0.00

5.40 0.00 0.00

0.00 9.70 0.00

615.70 250.30 398.00

38.90 35.80 0.00 27.30

0.00

0.00

7.90 63.80 40.70 66.80 0.00 58.80 5.40 3.00 7.90 60.70 7.90 41.30 142.1 0.00 28.50 43.70 0

509.50

0.00

0.00

0.00 47.40 34 34.70 41.50 69.90

555.00

77.20 16.40 0.00

0.00

9.70 13.90 33. 33.40 45.00 28.60

672.00

72.90 20.70 0.00

5.50

1.20 11.60

52.20 68.00

502.50

31.60

0.00

0.00 19.50 62. 62.00 67.50 93.60

561.00

0.00

0.00

0.00

7.90

624.70

0.00

0.00 22. 22.50 26 26.80 45.50 42.50

526.70

0.00

0.00

0.00

0.00

0.00

0.00

6.10

401.00

33.40 14.60 0.00 129.4 0 15.80 0.00

0.00

0.00

0.00

3.60

57.10 75.40

433.70

0.00 14.00 32.20 29.20 18.80 27.90

523.70

0.00

0.00

0.00

0.00

0.00

251.70

41.90

0.00

0.00

0.00

68.70

721.10

191

75.90 22.50 55.30 73.00

3.60

0.00

1.10

10.30

436.80

19! 193

75.90 22.50 55.30 73.00 3.60 0.00 0.00 122.1 59.80 150.0 162.9 110.1 19. 19.40 0.00

86.80 117.9

592.40 865.50

HIDROLOGIA

()

94.20 13.40 0.00 105.8 0 0.00 0.00 35.20

6.70

0.00 12 12.80 4. 4.90

0.00

5.50

0.00

0.00 24 24.30 3.20 42.50 108.2 0.00 0.00 0 87.50 129.5 0.00 7.30 58.30 0 128.2 147.1 0.00 0.00 0 0 0.00 6.10 27.30 89.90




0

194 195 196 197 19 199 1990 1991 199! 1993

MEDI A DESV

0 0 0 245.1 77.3 77.300 71.0 71.000 0 71.50 30.40 10.30 82.10 99.00 13.40 15.20 151.3 0 85.10 91.20 79.60 0.00 142.2 127.7 117.9 107.0 0 0 0 0 0.00 122.1 140.4 0 0 86.20 99.60 55.90 141.5 153.1 165.6 172.6 0 0 0 0 57.10 113.0 190.9 0 44.40 0 31.00 0.00 107.6 158.0 51.1 51.100 40.1 40.100 0 0 22.50 49.20 76.60 24.30 94.20 41.30 105.8 113.2 254.5 127.3 0 0 0 0 32.70 127.6 84.94 93.61 8 73.41 18.43 49.29 53.25 68.72 48.03 23.33

0 0.00 0.00

0.00 0.00 0.00

9.00 7.40 69.90 32.80 68.10 0.00 67.50 0.00 12.20 71.10 128.3 7.90 0.00 27.90 36.50 0

0.00

607.80

0.00

0.00

0.00

596.90

0.00

0.00

0.00

0.00

0.00

17.00 0.0 0.00

1.80 16.40 91. 91.70 35.80 72.50 104.0 0.00 7.30 95.90 0 37.00

0.00 9.10

0.00 0.00

0.00 0.00

14.00 0.00 1.72 4.67

0.00

1.20

42.50 58.40 108.1 0.00 27.30 48.60 0

0.00 0.00 29.20 68.60 0.00 21.30 52.30 4.90 169.0 0.00 24.30 93.60 68.00 0

0.29 1.19

682.50 370.80

688.20 908.10 640.50 477.10 373.20 1002.4 0

1.83 10.38 38.79 46.12 54.23 4.00 15.34 35.16 33.17 43.68

CUADRO Nº03 ESTACION DE CARA# AÑO 1953 1954 1955 1956 1957 195 1959 1960 1961 196! 1963 1964 1965 1966 1967 196 1969 1970 1971 197! 1973 1974 1975

ENE 56.20 23.30 18.20 0.00 0.00 1.80 23.70 8.50 17.00 7.30 1.80 15.80 31.60 18.20 13.90 6.60 44.90 11.50 23.10 28.50 45.60 38.30 24.90

FEB 14.50 54.50 86.30 36.60 20.90 33.40 97.20 0.00 0.00 18.60 6.10 10.30 8.50 57.10 15.10 23.00 9.70 57.80 35.30 17.60 56.50 53.50 13.40

MAR 51.20 70.50 83.20 34.60 117 117.60 35.20 79.00 30.40 58.30 107 107.60 67.40 58.30 15.60 96.60 16.40 39.40 40.10 127.10 115.40 86.30 22.50 208 208.40 20.00

ABR 0.00 9.40 12.50 10.30 32. 32.80 37.70 27.30 10 100.80 8.50 65. 65.60 57.70 11.50 6.10 0.00 0.00 0.00 15.20 12.80 24.30 18.50 0.00 23. 23.70 20.70

MAY 0.00 0.70 0.00 4.30 0.00 19.40 7.90 0.00 0.00 12.50 0.00 3.00 0.00 1.80 0.00 0.00 4.20 0.00 4.90 0.00 0.00 4.30 0.00

HIDROLOGIA

()

JUN 1.40 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

JUL AGO 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.40 0.00 0.00 0.00 0.00 2.40 0.00 0.00 1.80 0.00 0.00 0.00 5.50 0.00 0.00 .00 0.00 0.00 3.60 0.00 0.00 0.00 0.00 0.00 0.00 0.00

SET 0.00 1.80 0.00 12.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 7.30 1.20 0.00 4.20 0.00 14.00 0.00 6.10 7.30 0.00 0.00

OCT 5.40 10.90 3.60 0.00 17.00 0.00 17.00 6.70 0.00 0.00 0.00 6.10 0.00 9.10 30.40 10.30 13.90 14 14.00 4.90 0.00 4.30 1.80 0.00

NOV 13.80 12 12.00 2.60 0.00 4.30 0.00 18 18.70 15.80 20.00 18.20 10.30 1.80 3.00 1.20 1.20 0.00 74 74.00 14 14.00 23.70 23.70 7.90 0.00 0.00

DIC 7.70 3.60 0.00 0.00 13.40 0.00 26 26.10 9.70 20.00 0.00 20.60 0.00 21.30 12.20 0.00 0.00 58 58.90 11. 11.00 16 16.40 8.50 23.70 3.60 6.70

TOTAL PROM 150.20 12.52 186.70 15.56 206.40 17.20 98.00 8.17 206.00 17.17 127.50 10.63 296.90 24.74 171.90 14.33 123.80 10.32 229.80 19.15 166.30 13.86 106.80 8.90 93.40 7.78 199.80 16.65 78.80 6.57 83.50 6.96 266.40 22.20 262.20 21.85 248.00 20.67 192.80 16.07 167.80 13.98 333.60 27.80 85.70 7.14




1976 1977 197 1979 190 191 19! 193 194 195 196 197 19 199 1990 1991 199! 1993 MEDIA DESV

17.00 67.40 46.20 19.40 38.80 1.20 2.50 39.40 91.10 10.90 1.80 18.20 28.00 17.00 7.00 4.90 37.10 12.20 4.90 37.10 12.20 0.00 3.60 41.30 30.40 144.10 71.40 0.00 24.30 17.00 57.10 17.60 51.00 66.80 49.20 28.60 0.00 82.70 6.70 13.60 49.60 85.10 27.30 16.50 17.60 0.00 24.30 69.90 6.70 16.40 22.50 17.00 54.00 101.10 18.71 35.29 55.64 17.08 29.92 42.72

0.00 0.00 0.00 4.90 0.00 0.00 1.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 41.90 0.00 0.00 41.90 0.00 0.00 94.80 0.00 0.00 6.90 0.00 0.00 0.00 0.00 0.00 25.50 0.00 0.00 0.00 0.00 0.00 5.50 43.80 0.00 21.00 0.00 0.00 36.50 0.00 1.80 15.80 4.30 0.00 6.10 2.10 9.70 0.00 0.00 19.40 19.45 2.76 0.79 24.37 7.61 3.35

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.67

0.00 0.00 0.00 0.00 9.10 139.70 0.00 0.00 0.00 14.50 0.00 78.80 0.00 10.90 25.40 0.00 4.20 174.70 0.00 0.00 0.00 9.70 3.00 43.60 0.00 0.00 27.40 51.70 13.40 144.50 0.00 0.00 20.70 11.50 10.90 139.20 0.00 0.00 21.30 14.00 27.90 159.30 0.00 0.00 0.00 13.40 81.40 234.50 0.00 0.00 33.40 14.60 0.00 300.80 0.00 6.10 0.00 3.00 0.00 50.40 0.00 0.00 0.00 0.00 5.50 156.70 0.00 0.00 0.00 7.30 0.00 151.90 0.00 0.00 0.00 0.00 0.00 138.70 0.00 0.00 0.00 6.00 11.60 186.90 0.00 0.00 48.60 31.60 17.70 197.60 0.00 13.40 26.70 0.00 3.00 157.40 0.00 2.40 4.90 0.00 0.00 70.80 0.00 0.00 0.00 32.20 0.00 223.70 0.24 2.12 8.87 11.60 11.00 0.96 4.09 11.87 14.98 16.08

Con o! "#$o! "% #! $#&#! o&$%n%'o! o! !()*(%n$%! )+,-(o!/

GRAFICO Nº01 SERIE "IST$RICA DE ANTA

ANTA +)1)) /)1)) .)1)) -)1)) ,)1)) 3RECI3ITACI%N 3R%MEDI%

()1)) 2)1)) 0)1)) *)1)) )1)) *+,)

*+-)

*+.) AN%S

HIDROLOGIA

()

*+/)

*++)

0)))

11.64 6.57 14.56 3.63 12.04 11.60 13.28 19.54 25.07 4.20 13.06 12.66 11.56 15.58 16.47 13.12 5.90 18.64




GRAFICO Nº0! SERIE "IST$RICA DE C"ANCOS

CHANCOS .)1)) -)1)) ,)1)) ()1))

3RECI3ITACI%N MEDIA

2)1)) 0)1)) *)1)) )1)) *+,)*+,,*+-)*+-,*+.)*+.,*+/)*+/,*++)*++,0)))

A4%S

GRAFICO Nº03 SERIE "IST$RICA DE CARA#

CARA5 2)1))

0,1))

0)1))

3RECI3ITACI%N 3R%MEDI%

*,1))

*)1))

,1))

)1)) *+,)

*+-)

*+.)

A4%S

HIDROLOGIA

()

*+/)

*++)

0)))




GRAFICO Nº04 SERIE "IST$RICA DE LAS PRECIPITACIONES DE LAS 3 ESTACIONES +)1)) /)1)) .)1)) -)1)) ,)1)) PRECIPITACION PROMEDIO

()1)) 2)1)) 0)1)) *)1)) )1)) *+,)

*+-)

*+.)

*+/)

*++)

0)))

AÑOS ANTA

C6ANC%S

CARA5

CUADRO Nº04 ANALISIS DE DOBLE MASA ESTACI$N DE ANTA

T%&'( ) *A+),

P-&.%(%/ .%2 A.' P-&.%(%/ P-&.%(%/ .%2 .%2  T)/ A2 A.' *'', *'', ) *'',

ESTACI$N DE C"ANCOS P-&.%(%/ P-&.%(%/ .%2 .%2 A2 A.' *'', ) *'',

ESTACI$N DE CARA# P-&.%(%/ .%2 A2 *'',

P-&.%(%/ .%2 A.' ) *'',

1953

43077

7!!10

7!!1

4!00

4!00

150!

150!

1954

94517

7!!!0

14443

6343

10543

167

3369

1955

137463

64360

!079

434

149!7

!064

5433

1956

1713!7

44!!0

!5301

4757

1964

90

6413

1957

!!3673

63970

3169

7!47

!6931

!060

473

195

!65517

6310

3016

4960

3191

1!75

974

1959

3!3040

77990

4515

649

330

!969

1!717

HIDROLOGIA

()




1960

369757

66400

5!455

5656

44036

1719

14436

1961

41533

0170

6047!

537

49414

1!3

15674

196!

470407

75930

6065

5671

5505

!!9

1797!

1963

51463

70690

75134

565

60770

1663

19635

1964

549303

4950

009!

3!!6

63996

106

!0703

1965

53397

5060

517

4!0

6!04

934

!1637

1966

635973

7610

9!796

6157

74361

199

!3635

1967

661410

43400

97136

!503

7664

7

!44!3

196

691300

415!0

101!

390

044

35

!5!5

1969

744417

1760

109464

5095

5939

!664

!79!!

1970

794500

6530

116317

5550

9149

!6!!

30544

1971

5!953

3360

1!4653

67!0

9!09

!40

330!4

197!

954!0

5770

130440

50!5

103!34

19!

3495!

1973

9439!0

7!6!0

13770!

5610

1044

167

36630

1974

1006000

90410

146743

6!47

115091

3336

39966

1975

105133

76!60

154369

5!67

1!035

57

40!3

1976

106143

460

159!55

4010

1!436

1397

4!!!0

1977

11!36!3

61190

165374

4337

1!705

7

4300

197

116!70

64100

17174

5!37

13394!

1747

44755

1979

119353

337!0

175156

!517

136459

436

45191

190

1!45367

140

13304

7!11

143670

1445

46636

191

1!3477

56730

1977

436

1403

139!

40!

19!

1330910

67130

195690

59!4

15396!

1593

496!1

193

13097

61560

!0146

655

16!617

!345

51966

HIDROLOGIA

()




194

1450560

9060

!1075!

6!5

16944!

300

54974

195

14733

4!700

!150!!

370

173150

504

5547

196

15!3377

5710

!!0740

607

179!!

1567

57045

197

1569607

6310

!!71!1

5969

15197

1519

5564

19

16!0157

6960

!34017

6!

19!079

137

59951

199

16305!

7915

!41936

901

!01160

169

61!0

1990

173195!

6!90

!4!!5

6405

!07565

1976

63796

1991

177!45!

5050

!54030

4771

!1!336

1574

65370

199!

1799915

37990

!57!9

373!

!1606

70

6607

1993

1739

99610

!67790

100!4

!!609!

!!37

6315

S% o'#+# #! !%+(%! "% $(%'o ("+o)(o "% #! %!$#(on%! %(n#! ("%n$(-(#+ %+(o"o! "*"o!o!  o'#+#+ o! "#$o! "% +%(($#(n.

HIDROLOGIA

()




DOBLE MASA ANTA

C6ANC%S

CARA5

2))))1)

0,)))1)

0))))1)

PRECIPITACION ACUMULADA

*,)))1)

*))))1)

,)))1)

)1) )1))

,)))1))

*))))1))

*,)))1))

PRECIPITACION ACUMULADA PROMEDIO

GRAFICO Nº05 ACUMULADO 8 PROMEDIO D% #*%+"o # )+#-(o n 05 !%%(on#'o! # )+,-(# ',! +%$# C#+#.

HIDROLOGIA

()

0))))1))




S% +%#+# o$+o )+,-(o "on"% !% )+#-(# %n % %:% "% # o+"%n#"# o! #*'*#"o! "% #! %!$#(on%! An$#  C#no!  %n % %:% "% # #&!(!# o! #*'*#"o! "% # %!$#(n &#!% C#+#.

CUADRO Nº05 CARA# VS *ANTA C"ANCOS, PRECIPITACION ACUMULADO *'', CARA# ANTA C"ANCOS 150! 7!!1 4!00 3369 14443 10543 5433 !079 149!7 6413 !5301 1964 473 3169 !6931 974 3016 3191 1!717 4515 330 14436 5!455 44036 15674 6047! 49414 1797! 6065 5505 19635 75134 60770 !0703 009! 63996 !1637 517 6!04 !3635 9!796 74361 !44!3 97136 7664 !5!5 101! 044 !79!! 109464 5939 30544 116317 9149 330!4 1!4653 9!09 3495! 130440 103!34 36630 13770! 1044 39966 146743 115091 40!3 154369 1!035 4!!!0 159!55 1!436 4300 165374 1!705 44755 17174 13394! 45191 175156 136459 46636 13304 143670 40! 1977 1403 HIDROLOGIA

()




496!1 51966 54974 5547 57045 5564 59951 61!0 63796 65370 6607 6315

195690 !0146 !1075! !150!! !!0740 !!71!1 !34017 !41936 !4!!5 !54030 !57!9 !67790

15396! 16!617 16944! 173150 179!! 15197 19!079 !01160 !07565 !1!336 !1606 !!609!

GRAFICO Nº06 CARA# 8 *ANTA C"ANCOS,

DOBLE MASA ESTACION MODELO 2))))1) 0,)))1) 0))))1)

PREIPITACION ACUMULADA DE ANTA Y CHANCOS

*,)))1) *))))1) ,)))1) )1)

,)))1) )1) *))))1)

PRECIPITACION ACUMULADA DE CARAZ ANTA

C6ANC%S

L#! %!$#(on%! "% An$# C#no!  C#+# no +%!%n$#n !#$o! "% 'o"o ;*% no !% *%"% +%#(#+ #! o++%(on%! +%!%$(#!< o+ on!()*(%n$% !% $o' o$+# %!$#(n '%$%o+o)(#/ =ACHACOTO.

CUADRO Nº06 :ESTACI$N DE PAC"ACOTO;

HIDROLOGIA

()




A>O

E?E

1953

@E

MAR

MAY BU?

BUL AGO SET

89.50 153.80 119.40 91.70

19.80

6.10

1.80

3.70 24.50 62.10 119.20 46.80

1954

212.10 76.50

23.10

20.70

0.00

0.00

0.00 27.90 27.90

25.50

51.00

1955

68.60 155.50 204.70 32.80

17.00

0.00

0.00

0.00

4.30

15.20

51.60

1956

112.40 86.90 130.00 105.10

0.00

0.00

0.00

6.10 21.30 29.80

0.00

0.00

1957

96.00 101.40 71.00

70.00

6.70

0.00

0.00

0.00 21.90 63.80

13.40

72.90

1958

42.50 100.20 124.50 85.00

9.10

0.00

0.00

0.00

0.00

53.50

12.20

11.50

1959

28.60 140.30 135.50 82.00 118.50 0.00

0.00

0.00

9.10

79.60

23.70 115.40

1960

82.80

0.00

0.00

4.60

8.50

27.30

59.50

1961

129.44 139.10 88.10

81.40

38.30

9.10

0.00

0.00

6.10

10.40 137.50 135.50

1962

119.10 61.90 616.60 74.10

6.70

0.00

0.00

0.00

0.00

34.00

54.00

34.60

1963

180.90 105.70 130.00 58.80

13.90

0.00

0.00

0.00

0.00

23.10

77.70

80.80

1964

30.90

95.90 135.50 106.90 30.40

0.00

3.40 21.30 0.00

38.30

16.40

25.40

1965

38.90

51.50 169.50 38.90

6.10

0.00

0.00

0.00

37.60

18.20

46.20

1966

145.80 89.30

80.20

51.00

3.60

0.00

0.00

0.00 13.90 122.70 38.90

49.20

1967

91.10 127.60 93.70

21.90

18.20

0.00 12.10 1.80

6.10

98.40

30.40

24.90

1968

61.90

22.40

77.10

12.10

28.50

0.00

0.00

3.60

8.50

42.50

18.20

39.40

1969

47.30

40.00

95.30

74.70

0.00

0.00

0.00

0.00

0.90

47.90

38.20 155.50

1970

117.10 73.10

87.80

80.00

41.50

6.80

1.50

5.30 39.90 55.40

1971

59.00 117.30 133.70 27.90

0.00

0.00

0.00 16.50 0.00

1972

69.80

52.90 338.40 45.50

6.10

0.00

0.00

6.10

1973

89.40

86.40 122.10 100.90 24.30

2.40

0.00

3.00 43.10 80.80 122.10 127.00

1974

140.40 229.20 189.00 37.70

0.00

0.00

0.00

0.00

17.00

35.20

1975

109.40 122.10 136.10 69.90

55.90

0.00

0.00 10.90 18.80 36.40 21.90

63.80

1976

114.20 113.00 103.90 46.20

9.10

15.80 0.00

0.00

3.60

0.00

0.00

1977

145.80 127.60 144.00 24.90

2.40

5.50

0.00

0.00

0.00

20.70

82.00 103.90

1978

58.30 100.20 14.60

26.20

0.00

0.00

0.00

0.00 17.60 23.70

76.60

48.00

1979

47.60 104.70 281.00

4.30

24.30

0.00

0.00

0.00

2.40

0.00

6.70

27.30

1980

130.10

21.90

0.00

0.00

0.00

0.00

0.00

47.40

68.00

70.40

1981

149.40 193.80 349.80 16.40

0.00

0.00

0.00

9.10

0.00

39.50

34.00 103.90

63.80

AR

42.50 120.90 100.40 31.60

7.90

62.60

HIDROLOGIA

()

3.60

6.10

6.60

0.00

OCT

?OV

DIC

0.00

48.50

70.30

25.00

56.50

91.20

21.90

27.30

57.30

3.00

37.10




MEDIA 96.84 100.64 152.37 55.58 DESV

46.21

48.68 117.38 31.45

18.37

1.58

0.65

3.17 10.01 39.90

43.41

61.24

24.25

3.68

2.32

5.34 12.14 29.12

36.82

39.66

CUADRO Nº07 AN
N

TIEM3% 7MES8 A4%9

* 0 2 ( , . / + *) ** *0 *2 *( *, **. */ *+ 0) 0* 00 02 0( 0, 00. 0/ 0+

e!e8,2
3RECI3ITACI %N MENSUAL DE LA ESTACI:N DE 3AC6AC%T% 7mm9

89.50

153.80

119.40

91.70

19.80

6.10

1.80

3.70

24.50

62.10

119.20

46.80

212.10

76.50

63.80

23.10

20.70

0.00

0.00

0.00

27.90

27.90

25.50

51.00

68.60

155.50

204.70

32.80

HIDROLOGIA

()

17.00

N

TIEM3% 7MES8 A4%9

*., *.*.. *./ *.+ */) */* */0 */2 */( */, */*/. *// */+ *+) *+* *+0 *+2 *+( *+, *+*+. *+/ *++ 0)) 0)* 0)0 0)2

;ul8-. a"o8-. sep8-. oct8-. !ov8-. ic8-. e!e8-/
3RECI3ITACI %N MENSUAL DE LA ESTACI:N DE 3AC6AC%T% 7mm9

12.10

1.80

6.10

98.40

30.40

24.90

61.90

22.40

77.10

12.10

28.50

0.00

0.00

3.60

8.50

42.50

18.20

39.40

47.30

40.00

95.30

74.70

0.00

0.00

0.00

0.00

0.90

47.90

38.20




2) 2* 20 22 2( 2, 22. 2/ 2+ () (* (0 (2 (( (, ((. (/ (+ ,) ,* ,0 ,2 ,( ,, ,,. ,/ ,+ -) -* -0 -2 -( -, --. -/ -+ .) .* .0 .2

;u!8,, ;ul8,, a"o8,, sep8,, oct8,, !ov8,, ic8,, e!e8,

0.00

0.00

0.00

3.60

4.30

15.20

51.60

112.40

86.90

130.00

105.10

0.00

0.00

0.00

6.10

21.30

29.80

0.00

0.00

96.00

101.40

71.00

70.00

6.70

0.00

0.00

0.00

21.90

63.80

13.40

72.90

42.50

100.20

124.50

85.00

9.10

0.00

0.00

0.00

0.00

53.50

12.20

11.50

28.60

HIDROLOGIA

()

0)( 0), 0)0). 0)/ 0)+ 0*) 0** 0*0 0*2 0*( 0*, 0*0*. 0*/ 0*+ 00) 00* 000 002 00( 00, 0000. 00/ 00+ 02) 02* 020 022 02( 02, 0202. 02/ 02+ 0() 0(* 0(0 0(2 0(( 0(, 0(0(.

ic8-+ e!e8.)

155.50

117.10

73.10

87.80

80.00

41.50

6.80

1.50

5.30

39.90

55.40

48.50

70.30

59.00

117.30

133.70

27.90

0.00

0.00

0.00

16.50

0.00

25.00

56.50

91.20

69.80

52.90

338.40

45.50

6.10

0.00

0.00

6.10

6.60

21.90

27.30

57.30

89.40

86.40

122.10

100.90

24.30

2.40

0.00




.( ., ... ./ .+ /) /* /0 /2 /( /, //. // /+ +) +* +0 +2 +( +, ++. +/ ++ *)) *)* *)0 *)2 *)( *), *)*). *)/ *)+ **) *** **0 **2 **( **, ****.

140.30

135.50

82.00

118.50

0.00

0.00

0.00

9.10

79.60

23.70

115.40

82.80

42.50

120.90

100.40

31.60

0.00

0.00

4.60

8.50

27.30

59.50

0.00

129.44

139.10

88.10

81.40

38.30

9.10

0.00

0.00

6.10

10.40

137.50

135.50

119.10

61.90

616.60

74.10

6.70

0.00

0.00

0.00

0.00

HIDROLOGIA

()

0(/ 0(+ 0,) 0,* 0,0 0,2 0,( 0,, 0,0,. 0,/ 0,+ 0-) 0-* 0-0 0-2 0-( 0-, 0-0-. 0-/ 0-+ 0.) 0.* 0.0 0.2 0.( 0., 0.0.. 0./ 0.+ 0/) 0/* 0/0 0/2 0/( 0/, 0/0/. 0// 0/+ 0+) 0+*

a"o8.2 sep8.2 oct8.2 !ov8.2 ic8.2 e!e8.(

3.00

43.10

80.80

122.10

127.00

140.40

229.20

189.00

37.70

0.00

0.00

0.00

0.00

0.00

3.00

17.00

35.20

109.40

122.10

136.10

69.90

55.90

0.00

0.00

10.90

18.80

36.40

21.90

63.80

114.20

113.00

103.90

46.20

9.10

15.80

0.00

0.00

3.60

0.00

0.00

37.10

145.80

127.60

144.00




**/ **+ *0) *0* *00 *02 *0( *0, *0*0. *0/ *0+ *2) *2* *20 *22 *2( *2, *2*2. *2/ *2+ *() *(* *(0 *(2 *(( *(, *(*(. *(/ *(+ *,) *,* *,0 *,2 *,( *,, *,*,. *,/ *,+ *-) *-*

oct8-0 !ov8-0 ic8-0 e!e8-2

34.00

54.00

34.60

180.90

105.70

130.00

58.80

13.90

0.00

0.00

0.00

0.00

23.10

77.70

80.80

30.90

95.90

135.50

106.90

30.40

0.00

3.40

21.30

0.00

38.30

16.40

25.40

38.90

51.50

169.50

38.90

6.10

0.00

0.00

0.00

6.10

37.60

18.20

46.20

145.80

89.30

80.20

51.00

HIDROLOGIA

()

3.60

0+0 0+2 0+( 0+, 0+0+. 0+/ 0++ 2)) 2)* 2)0 2)2 2)( 2), 2)2). 2)/ 2)+ 2*) 2** 2*0 2*2 2*( 2*, 2*2*. 2*/ 2*+ 20) 20* 200 202 20( 20, 2020. 20/ 20+ 22) 22* 220 222 22( 22,

a=r8.. may8.. ;u!8.. ;ul8.. a"o8.. sep8.. oct8.. !ov8.. ic8.. e!e8./

24.90

2.40

5.50

0.00

0.00

0.00

20.70

82.00

103.90

58.30

100.20

14.60

26.20

0.00

0.00

0.00

0.00

17.60

23.70

76.60

48.00

47.60

104.70

281.00

4.30

24.30

0.00

0.00

0.00

2.40

0.00

6.70

27.30

130.10

7.90

62.60

21.90

0.00

0.00

0.00

0.00

0.00

47.40

68.00




*-0 *-2 *-( *-, *-*-. *-/ *-+ *.) *.* *.0 *.2 *.(

;u!8-;ul8-a"o8-sep8-oct8-!ov8-ic8-e!e8-.

0.00

0.00

0.00 13.90 122.70

38.90

49.20

91.10

127.60

93.70

21.90

18.20

0.00

2222. 22/ 22+ 2() 2(* 2(0 2(2 2(( 2(, 2(2(. 2(/

ic8/) e!e8/*

70.40

149.40

193.80

349.80

16.40

0.00

0.00

0.00

9.10

0.00

39.50

34.00 103.90

GRAFICO Nº07 PRECIPITACIONES MENSUALES 8 *AÑO=MES,

PRECIPITACION MENSUAL DE LA ESTACIÓN DE PACHACOTO (mm) .))1))

-))1))

,))1))

())1))

2))1))

0))1))

*))1))

)1))

O>8&-')8 ?& @ 2 8)>-&8/) &2 '-) & +) 196! .)2 2 (-&.%(%/.%2 & 61660 ''

ANALISIS ESTADISTICO (SALTO): HIDROLOGIA

()




a) ANÁLISIS DE CONSISTENCIA DE LA MEDIA CON LA PRUEBA “T” CÁLCULO DE LAS VARIANCIAS DE AMBOS PERÍODOS:

´ = X 1

´ 2= X

1

n1

∑

n1 i =1

1

n2

X , S ( x )= ∑ =

n2 j

j

2

1

√[ ] 1

n2 − 1

n1

∑ ( X − X ´ ) =

2

j

j

2

1

1. "')8  '&%  8 &8%.%2 &8/2- & . /-')

.)28%&-2) &8& & 8)>-&8/) PROMEDIO

NMERO DE ELEMENTOS

DESVIACION ESTANDAR

1

49.40

21

110

S1

5!10

!

48.30

2!

238

S!

609

! SE ESTABLECE LA "IP$TESIS H p : μ = μ ( igualdad estadística dela media poblacional ) 1

•

•

2

H a : μ 1 ≠ μ2 α =0.05 ;conn 1 + n 2−2 =346 grados de libertad

3 C
√

1

+

1

n 1 n2

HIDROLOGIA

()




S p=

√

( n −1 ) × S + ( n − 1 ) × S 2

1

1

2

2

2

n1+ n2−2

S).%2

√

2

2

( 110−1 ) × 52.10 + ( 238 −1 ) × 68.09 =63.49 S p= 110 + 238− 2

S d =63.49 ×

√

1 110

+

1 238

=7.32

4 C
2

C

1

2

Sd

Dn"%/ μ − μ = 0 ( por hiptesis planteada ) 1

2

´ − X ´ ) X ( = 1

!T C

2

Sd

S).%2 T C =

( 49.40− 48.30 ) 7.32

=0.15

5 C

Dn"%/

2

α : %i&el de signi'icancia

HIDROLOGIA

()




G.L.: Grado de libertad.

S).%2 " # $ #=110+ 238−2 =346

U$((#n"o # $#&#/ T/  165

6 CRITERIO DE DECISI$N ´ = X ´ %o se corrige # Si : T C ( T t ( 95 ) ! X 1 2

´ 1 ≠ X ´ 2 Secorrige# Si : T C > T t ( 95 ) ! X

T C =0.15 < T t =1.65

ESTADISTICAMENTE LAS MEDIAS SON IGUALES POR LO TANTO NO SE CORRIGE .

CONCLUSI$N PROMEDIO

NMERO DE

DESVIACI$N

GDL

1 49.40 ! 48.30

ELEMENTOS 21 110 2! 238

EST
346

?OMRE D%!(#(n %!$,n"#+ "% #! "(-%+%n(#! "%

RESULTADO S 73!

+o'%"(o! D%!(#(n %!$,n"#+ on"%+#"#

S(

6349

T #*#"o

T.

015

T $#&*#+

T/

165

HIDROLOGIA

()




95 "% !%)*+("#"

H

005

>, AN
2

[ −]

S 1 ( x )=

2

1

n1

1

n2

´ ) ( X − X ∑ =

1 i

[ −]

S 2 ( x )=

n1

i

2

1

1

n2

( X − X ´ ) ∑ =

1 j

2

j

2

1

NMERO ELEMENTOS n1 110 n2 238

DE DESVIACI$N EST
! SE ESTABLECE LA "IP$TESIS 2

=) ( &arian*a poblacional ) 2



H p : ) 1



H a : ) 1 ≠ ) 2



α =0.05

2

2

2

3 C
()

VARIAN#A S!1 2714.41 S!! 4636.25




2

+ C =

S1 ( x ) 2

S2 ( x )

2

2

2

2

, Si : S 1 ( x )> S 2 ( x )

2

+ C =

S2 ( x ) 2

S1 ( x )

, Si : S 2 ( x )> S 1 ( x )

S).%2

+ C =

68.09

2

2

52.10

=1.71

4 C
 

[ [

"$% =n1− 1 "$ =n2−1 "$% =n2 −1 "$ =n1−1

Dn"%/

] ]

2

2

, Si : S 1 ( x ) > S 2 ( x )

2

2

, Si : S 2 ( x )> S1 ( x )

α : %i&el de signi'icancia G.L.N: Grado de libertad del numerador. G.L.D: Grado de libertad del denominador.

S).%2 " # $ # % # = 238− 1= 237 " # $ #  # =110−1 =109

HIDROLOGIA

()




F/  1.046 5 CRITERIO DE DECISI$N 

Si : + C ( + t ( 95 ) ! S 1 ( x ) = S 2 ( x ) %o se corrige#



Si : + C > + t ( 95 ) ! S 1 ( x ) ≠ S2 ( x ) Secorrige#

+ C =1.71 > + t = 1.046

LAS DESVIACIONES ESTÁNDAR SON DIFERENTES; POR LO TANTO SE CORRIGE

CONCLUSI$N NMERO DE DESVIACI$N

VARIAN#A

GDL

ELEMENTOS 21 110 2! 238

S!1 2714.41 S!! 4636.25

N D

EST
?OMRE F ..)

RESULTADO F. 1.71

F />-

F/

1.046

95 & 8&K-%

H

0.05

6 CORRECCI$N DE DATOS MODELO PARA CORREGIR EL PRIMER PERODO

HIDROLOGIA

()

237 109




-

´1 X t − X

[ ]

X ( t ) =

S 1 ( x )

´2 × S 2 ( x ) + X

MODELO PARA CORREGIR EL SEGUNDO PERODO

- ( t )

X

´2 X t − X

[ ]

=

S 2 ( x )

´1 × S 1 ( x ) + X

S).%2 S% *$((# % !%)*n"o 'o"%o o+;*% !% "%&%n o++%)(+ o! #o+%! "% # !*&'*%!$+# "% $#'#o n2. =#+# %o $%n%'o!/

=ROMEDIO

1 49.40 ! 48.30

?FMERO DE

DESVIACI?

ELEME?TOS 21 110 2! 238

ESTÁ?DAR 81 5!10 8! 609

Don"% X t =616.60

-

[

X ( 111) =

616.60

− 48.30

68.09

]

× 52.10 + 49.40 =484.24

CUADRO Nº09 CORRECCION DE DATOS

?

SI? CORREGIR =RECI=ITACIO?

CORREGIDO =RECI=ITACIO?

ME?SUAL DE LA

ME?SUAL DE LA

ESTACI? DE

ESTACI? DE

HIDROLOGIA

()




=ACHACOTO ''

=ACHACOTO ''

89.50 153.80 119.40 91.70 19.80 6.10 1.80 3.70 24.50 62.10 119.20 46.80 212.10 76.50 63.80 23.10 20.70 0.00 0.00 0.00 27.90 27.90 25.50 51.00 68.60 155.50 204.70 32.80 17.00 0.00 0.00 0.00 3.60 4.30 15.20 51.60 112.40 86.90 130.00 105.10 0.00 0.00 0.00 6.10

89.50 153.80 119.40 91.70 19.80 6.10 1.80 3.70 24.50 62.10 119.20 46.80 212.10 76.50 63.80 23.10 20.70 0.00 0.00 0.00 27.90 27.90 25.50 51.00 68.60 155.50 204.70 32.80 17.00 0.00 0.00 0.00 3.60 4.30 15.20 51.60 112.40 86.90 130.00 105.10 0.00 0.00 0.00 6.10

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 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 HIDROLOGIA

()



45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

21.30 29.80 0.00 0.00 96.00 101.40 71.00 70.00 6.70 0.00 0.00 0.00 21.90 63.80 13.40 72.90 42.50 100.20 124.50 85.00 9.10 0.00 0.00 0.00 0.00 53.50 12.20 11.50 28.60 140.30 135.50 82.00 118.50 0.00 0.00 0.00 9.10 79.60 23.70 115.40 82.80 42.50 120.90 100.40 31.60 0.00

HIDROLOGIA

()


21.30 29.80 0.00 0.00 96.00 101.40 71.00 70.00 6.70 0.00 0.00 0.00 21.90 63.80 13.40 72.90 42.50 100.20 124.50 85.00 9.10 0.00 0.00 0.00 0.00 53.50 12.20 11.50 28.60 140.30 135.50 82.00 118.50 0.00 0.00 0.00 9.10 79.60 23.70 115.40 82.80 42.50 120.90 100.40 31.60 0.00



91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136

0.00 4.60 8.50 27.30 59.50 0.00 129.44 139.10 88.10 81.40 38.30 9.10 0.00 0.00 6.10 10.40 137.50 135.50 119.10 61.90 616.60 74.10 6.70 0.00 0.00 0.00 0.00 34.00 54.00 34.60 180.90 105.70 130.00 58.80 13.90 0.00 0.00 0.00 0.00 23.10 77.70 80.80 30.90 95.90 135.50 106.90

HIDROLOGIA

()


0.00 4.60 8.50 27.30 59.50 0.00 129.44 139.10 88.10 81.40 38.30 9.10 0.00 0.00 6.10 10.40 137.50 135.50 119.10 61.90 484.24 69.14 17.57 12.44 12.44 12.44 12.44 38.46 53.76 38.92 150.86 93.32 111.91 57.43 23.08 12.44 12.44 12.44 12.44 30.12 71.90 74.27 36.09 85.82 116.12 94.24



137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182

30.40 0.00 3.40 21.30 0.00 38.30 16.40 25.40 38.90 51.50 169.50 38.90 6.10 0.00 0.00 0.00 6.10 37.60 18.20 46.20 145.80 89.30 80.20 51.00 3.60 0.00 0.00 0.00 13.90 122.70 38.90 49.20 91.10 127.60 93.70 21.90 18.20 0.00 12.10 1.80 6.10 98.40 30.40 24.90 61.90 22.40

HIDROLOGIA

()


35.70 12.44 15.04 28.74 12.44 41.75 24.99 31.88 42.21 51.85 142.14 42.21 17.11 12.44 12.44 12.44 17.11 41.21 26.37 47.79 124.00 80.77 73.81 51.47 15.20 12.44 12.44 12.44 23.08 106.33 42.21 50.09 82.15 110.08 84.14 29.20 26.37 12.44 21.70 13.82 17.11 87.73 35.70 31.50 59.81 29.58



183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228

77.10 12.10 28.50 0.00 0.00 3.60 8.50 42.50 18.20 39.40 47.30 40.00 95.30 74.70 0.00 0.00 0.00 0.00 0.90 47.90 38.20 155.50 117.10 73.10 87.80 80.00 41.50 6.80 1.50 5.30 39.90 55.40 48.50 70.30 59.00 117.30 133.70 27.90 0.00 0.00 0.00 16.50 0.00 25.00 56.50 91.20

HIDROLOGIA

()


71.44 21.70 34.25 12.44 12.44 15.20 18.95 44.96 26.37 42.59 48.63 43.05 85.36 69.60 12.44 12.44 12.44 12.44 13.13 49.09 41.67 131.43 102.04 68.38 79.62 73.66 44.20 17.65 13.59 16.50 42.97 54.83 49.55 66.23 57.59 102.20 114.74 33.79 12.44 12.44 12.44 25.07 12.44 31.57 55.67 82.23



229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274

69.80 52.90 338.40 45.50 6.10 0.00 0.00 6.10 6.60 21.90 27.30 57.30 89.40 86.40 122.10 100.90 24.30 2.40 0.00 3.00 43.10 80.80 122.10 127.00 140.40 229.20 189.00 37.70 0.00 0.00 0.00 0.00 0.00 3.00 17.00 35.20 109.40 122.10 136.10 69.90 55.90 0.00 0.00 10.90 18.80 36.40

HIDROLOGIA

()


65.85 52.92 271.37 47.26 17.11 12.44 12.44 17.11 17.49 29.20 33.33 56.29 80.85 78.55 105.87 89.65 31.04 14.28 12.44 14.74 45.42 74.27 105.87 109.62 119.87 187.82 157.06 41.29 12.44 12.44 12.44 12.44 12.44 14.74 25.45 39.38 96.15 105.87 116.58 65.93 55.22 12.44 12.44 20.78 26.83 40.29



275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320

21.90 63.80 114.20 113.00 103.90 46.20 9.10 15.80 0.00 0.00 3.60 0.00 0.00 37.10 145.80 127.60 144.00 24.90 2.40 5.50 0.00 0.00 0.00 20.70 82.00 103.90 58.30 100.20 14.60 26.20 0.00 0.00 0.00 0.00 17.60 23.70 76.60 48.00 47.60 104.70 281.00 4.30 24.30 0.00 0.00 0.00

HIDROLOGIA

()


29.20 61.26 99.82 98.91 91.94 47.79 19.41 24.53 12.44 12.44 15.20 12.44 12.44 40.83 124.00 110.08 122.63 31.50 14.28 16.65 12.44 12.44 12.44 28.28 75.19 91.94 57.05 89.11 23.61 32.49 12.44 12.44 12.44 12.44 25.91 30.58 71.05 49.17 48.86 92.56 227.45 15.73 31.04 12.44 12.44 12.44



321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348

2.40 0.00 6.70 27.30 130.10 7.90 62.60 21.90 0.00 0.00 0.00 0.00 0.00 47.40 68.00 70.40 149.40 193.80 349.80 16.40 0.00 0.00 0.00 9.10 0.00 39.50 34.00 103.90

HIDROLOGIA

()


14.28 12.44 17.57 33.33 111.99 18.49 60.34 29.20 12.44 12.44 12.44 12.44 12.44 48.71 64.47 66.31 126.76 160.73 280.10 24.99 12.44 12.44 12.44 19.41 12.44 42.67 38.46 91.94

Multiservicios “Copysistem”



*0))1))

*)))1))

/))1))

-))1))

())1))

0))1))

)1))

3AC6AC%T% 7Lt>s98SIN C%RREGIR

3AC6AC%T% 7Lt>s98C%RREGID%

GRAFICO Nº8 CORRECCION DE DATOS

HIDROLOGIA

() Mul tiservicios “ Copysistem”



GRAFICO Nº9 DATOS CORREGIDOS DE LA PRECIPITACION ANUAL

DATOS CORREGIDOS *0))1)) *)))1)) /))1)) -))1))

<7?9 @ )1),? 8 )1.0?  ,+*1-0 ,+(1,2 ())1)) RB @ ) 0))1)) )1))




GRAFICO Nº9 DATOS CORREGIDOS DE LA PRECIPITACION ANUAL

DATOS CORREGIDOS *0))1)) *)))1)) /))1)) -))1))

<7?9 @ )1),? 8 )1.0?  ,+*1-0 ,+(1,2 ())1)) RB @ ) 0))1)) )1))

3RECI3ITACI%N DE LA ESTACI%N DE 3AC6AC%T% 7Lt>s9 Li!ear 73RECI3ITACI%N DE LA ESTACI%N DE 3AC6AC%T% 7Lt>s99 3RECI3ITACI%N C%RREGID% DE LA ESTACI%N DE 3AC6AC%T% 7Lt>s9 Li!ear 73RECI3ITACI%N C%RREGID% DE LA ESTACI%N DE 3AC6AC%T% 7Lt>s99 Li!ear 73RECI3ITACI%N C%RREGID% DE LA ESTACI%N DE 3AC6AC%T% 7Lt>s99

HIDROLOGIA

()




RESULTADOS Y DISCUSIO?ES RESULTADOS

, AN
E #o+ ',('o "% # +%(($#(n #n*# -*% "%/ 996.10 '' %n % #o 1993.

•

E #o+ 'n('o "% # +%(($#(n #n*# -*% "%/ 337.20 '' %n % #o 1979.

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E #o+ ',('o '%n!*# -*% "%/ 280.00 '' %n % '%! "% -%&+%+o "% 1984.

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L# '%"(# '%n!*# %n$+% o! '%!%! %n%+oJ "((%'&+% %! "%/ ''.

E8/.%2 C"ANCOS •

E #o+ ',('o #n*# -*% "%/.

•

E #o+ 'n('o #n*# -*% "%/

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E #o+ ',('o '%n!*# -*% "%/

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E #o+ 'n('o '%n!*# -*% "%/

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L# '%"(# '%n!*# %n$+% o! '%!%! %n%+oJ "((%'&+% %! "%/ 48.65 ''.

E8/.%2 CARA# •

E #o+ ',('o #n*# -*% "%/

•

E #o+ 'n('o #n*# -*% "%/

HIDROLOGIA

()




•

E #o+ ',('o '%n!*# -*% "%

•

E #o+ 'n('o '%n!*# -*% "%/

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L# '%"(# '%n!*# %n$+% o! '%!%! %n%+oJ "((%'&+% %! "%

>, AN
., AN
AN
T 0.15 T/ 1.65 T C =0.15 < T t =1.65

.or lo /ue estadísticamente son iguales

ANALISIS DE CONSISTENCIA EN LA DESVIACION ESTANDAR CON LA PRUEVA DE F S% o&$*o ;*%/

HIDROLOGIA

()




@ #*#"o @ $#&*#+

F. 1.71 F/ 1.046

+ C =1.71 > + t =1.046

.or lo /ue son di'erentesestadísticamente , es necesario corregir

, TENDENCIA  En # )+,-(# "% +%(($#(n  #o! !% +%#( # +%)+%!(n (n%# %n # *# !% o&$(%n% # %*#(n (n%#  % o%-((%n$% "% o++%#(n  # +%#(n %n$+% % + $  % +  %!/ 0.423 1.71

=o+ o ;*% + no %! !()n(-(#$(o %n$on%! no # $%n"%n(#  no # n%%!("#" "% o++%)(+

&, CORRECCION DE DATOS  En # %!$#(n "% =ACHACOTO !% +o"*:%+on !#$o! # #+$(+ "% '#+o "% 1962 #!$# 1981 %n o ;*% %! n%%!#+(o # o++%(n.  S% o++()(%+on "#$o! '%! o+ '%!  !% +%#( # )+,-(# "% #*"# o++%)("o on o! #o! +%!%$(o!.

DISCUSIONES

HIDROLOGIA

()



•


L# (n-o+'#(n #%+# "% #! +%(($#(on%! %n #! %!$#(on%! "%/ A?TA CHA?COS Y CARAK -*%+on o&$%n("#! "% # In!$($*(n ALA A!o(#(n Lo# "% A)*# o! "#$o! +oo+(on#"o! on!(!$#n #! +%(($#(on%! o'+%n"("#! %n$+% o! #o! "% 1953 1993 on !*! +%!%$(o! '%!%! %n%+o  "((%'&+%. T#'&(n #! +%(($#(on%! "% # %!$#(n "% =ACHACOTO -*% o&$%n("# %n # '(!'# (n!$($*(n %n$+% o! #o! "% 1953 1981.

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=#+# +%#(#+ % $+#$#'(%n$o "% "#$o! o++%$o !% n%%!($#&# "% *n# %!$#(n ;*% on$#&# on *n !#$o %n !*! "#$o! %n n*%!$+o #!o "% +%(($#(n< "% o *# %n #! %!$#(on%! "% #n$# #no!  C#+# no %(!$# !#$o! !%)Nn "#$o! o+ %o #*"('o! #n#(#+ o$+# %!$#(n %!$#(n "% =ACHACOTO *# !( $%n# %n !*! "#$o! *n !#$o.

•

HIDROLOGIA

()

Cálculos y Resultados Hidrolog

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