análisis de saltos ucv

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AÑO Q(M3/S) 1954 13.30 1955 21.00 1956 11.10 1957 5.22 1958 4.40 1959 6.71 1960 8.55 1961 8.16 1962 7.83 1963 5.35 1964 7.51 1965 5.83 1966 10.10 1967 9.65 1968 7.51 1969 10.50 1970 14.30 1971 10.10 1972 4.82 1973 11.70 1974 8.41 1975 8.68 1976 6.10 1977 5.33 1978 6.68 1979 38.00 1980 56.90 1981 55.20 1982 42.60 1983 44.10 1984 41.90 1985 44.70 1986 46.90 1987 32.00 1988 36.20 1989 37.50 1990 33.10 1991 73.00 1992 63.50 1993 72.40 195 4 195 8 19 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 Pr PP(mm/año)

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Analisis de saltos

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Page 1: Análisis de Saltos UCV

AÑO Q(M3/S)1954 13.301955 21.001956 11.101957 5.221958 4.401959 6.711960 8.551961 8.161962 7.831963 5.351964 7.511965 5.831966 10.101967 9.651968 7.511969 10.501970 14.301971 10.101972 4.821973 11.701974 8.411975 8.681976 6.101977 5.331978 6.681979 38.001980 56.901981 55.201982 42.601983 44.101984 41.901985 44.701986 46.901987 32.001988 36.201989 37.501990 33.101991 73.001992 63.501993 72.40

19541957

19601963

19661969

19721975

19781981

19841987

19901993

0.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

Precipitaciones Anuales (PPA)

Precipitaciones Anuales

PP(m

m/a

ño)

Page 2: Análisis de Saltos UCV

19541957

19601963

19661969

19721975

19781981

19841987

19901993

0.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

Precipitaciones Anuales (PPA)

Precipitaciones Anuales

PP(m

m/a

ño)

Page 3: Análisis de Saltos UCV

DURACION (minutos)Año 10 30 60 90 120 240

1 1975 67 54 34 28 25 172 1976 89 77 55 48 43 313 1977 83 62 59 38 23 204 1978 77 60 47 36 28 165 1979 53 38 32 22 19 136 1980 45 32 28 19 12 97 1981 62 53 44 38 30 218 1982 71 50 46 33 23 179 1983 82 69 52 41 32 26

10 1984 59 45 38 30 24 1811 1985 68 61 54 44 36 2812 1986 48 38 31 23 18 1213 1987 58 47 40 31 25 1814 1988 67 53 45 39 33 2515 1989 46 40 33 21 19 1516 1990 55 48 36 25 22 1317 1991 87 64 55 38 29 1518 1992 68 59 50 44 32 1819 1993 52 48 35 23 20 1620 1994 60 51 42 33 27 1421 1995 69 58 43 38 24 1922 1996 62 55 43 35 22 1623 1997 55 38 34 27 23 1724 1998 69 56 42 33 31 2225 1999 73 67 55 43 30 1826 2000 61 48 36 22 18 1527 2001 53 45 41 37 26 2028 2002 66 53 42 31 23 1329 2003 70 61 52 37 33 22

1975 1681976 240

1977 185

1978 234

1979 180

1980 168

1981 96

1982 84

1983 132

1984 144

1985 156

1986 40

1987 84

Page 4: Análisis de Saltos UCV

1988 120

1989 128

1990 108

1991 108

1992 96

1993 175

1994 90

1995 120

1996 84

1997 178

1998 75.6

Page 5: Análisis de Saltos UCV

DURACION (minutos)m T= (n+1)/m 10 30 60 90 120 2401 30 82 69 55 48 43 312 15.0 83 62 54 44 36 283 10.0 70 61 52 41 32 264 7.5 69 56 45 39 33 255 6.0 70 61 52 37 33 226 5.0 68 61 52 37 33 227 4.3 66 53 42 33 31 228 3.8 62 55 44 38 30 219 3.3 71 50 41 37 26 20

10 3.0 53 45 41 37 26 2011 2.7 89 77 59 38 23 2012 2.5 67 54 43 38 24 1913 2.3 77 60 50 44 32 1814 2.1 73 67 55 43 30 1815 2.0 73 67 55 43 30 1816 1.9 61 48 40 31 25 1817 1.8 55 48 38 30 24 1818 1.7 53 45 34 28 25 1719 1.6 69 58 46 33 23 1720 1.5 46 40 34 27 23 1721 1.4 68 59 47 36 28 1622 1.4 67 53 43 35 22 1623 1.3 59 45 35 23 20 1624 1.3 87 64 55 38 29 1525 1.2 55 38 33 21 19 1526 1.2 61 48 36 22 18 1527 1.1 52 48 36 22 18 1528 1.1 60 51 42 33 27 1429 1.0 66 53 42 31 23 13

Sumatoria 1932 1596 1301 1007 786 552

Promedio 66.62 55.03 44.86 34.72 27.10 19.03

DesviaciónS 11.31 11.31 9.19 12.02 14.14 12.73

Para D=10 min. 25.000375Para D=20 min 23.2561222Para D=240 min 9.17430435

i = ( a ) ∕ ( b + D )

Page 6: Análisis de Saltos UCV

D PP Para T = 30 años10 8230 6960 5590 48

120 43.00240 31

X=D Y= 1/i D*Y X210 0.012 0.12 10030 0.014 0.43 90060 0.018 1.09 360090 0.021 1.88 8100

120 0.023 2.79 14400240 0.032 7.74 57600

Sumatoria 550 0.12 14.06 84700

508200302500205700

17.66 b1 =0.0003205700.0 a = 1/b1

3333.30.00009

a = 3333.3123.33

b = 123.33

0.020 0.103

-0.083 a1 = 0.111

b1 = n ( ∑ ҳ ỵ ) - ( ∑ ҳ ∑ ỵ ) / n ∑ ҳ² - ( ∑ ҳ )²

a₁ ₌ (∑ yi / n) - b₁ ( ∑ ҳ ) n

b ₌ ( a₁ ∕ b₁ )