• Author / Uploaded
• Isaac Correa Julcarima

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CAUDALES MEDIOS MENSUALES (m3/s) Estacion: YANAHUANCA AÑO

ENE

FEB

MAR

ABR

MAY

JUN

JUL

AGO

SET

OCT

NOV

1985

15.00

34.56

43.34

14.23

10.62

7.87

8.84

8.60

8.41

17.06

15.09

1986

23.52

65.45

44.56

22.34

12.27

9.30

8.12

10.12

9.60

17.72

19.90

1987

47.33

52.45

45.56

24.34

13.35

12.06

10.62

10.57

12.17

17.59

22.09

1988

23.55

30.34

37.56

32.23

12.84

11.44

9.58

9.24

11.96

13.05

13.51

1989

32.30

106.45

34.56

47.34

14.30

11.80

10.53

11.19

10.16

13.67

18.37

1990

19.34

67.45

46.56

37.32

19.45

11.70

9.98

9.30

11.95

13.34

16.70

1991

48.50

67.48

76.56

36.83

18.11

11.19

10.96

11.02

11.58

12.41

14.70

1992

58.59

40.34

32.45

16.85

12.33

11.24

11.68

9.63

9.91

12.52

15.62

1993

68.56

68.45

27.45

28.34

13.90

10.29

9.20

7.20

9.42

11.11

13.62

1994

20.12

38.98

43.45

32.55

18.66

12.55

10.21

9.83

9.96

15.01

15.77

1995

28.44

21.23

16.45

20.82

12.38

17.70

12.36

10.42

12.13

17.29

44.66

1996

53.77

34.45

38.56

27.34

15.02

13.51

8.81

8.82

7.78

9.85

10.93

1997

14.56

10.56

11.11

10.28

9.50

10.57

10.33

10.10

9.07

12.73

6.38

Qmax.

34.89

49.09 38.32 26.99 14.06 11.63 10.09 9.70 10.32 14.10 17.49

CONSTRUCCION DE LA CURVA MASA

1º. Transformar los Q (mm3/s), a volumenes V(millones de m3) V = 0.0864QT Donde:

V = volumen, en MM3 (millones de m3) T = número de días del mes Q = caudal en m3/s

2º. Acumular los volumenes y obtener la columna de vvolumenes acumulados

AÑO

Q

DIAS

DIAS

V

VOL acumulado

m3/s ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC

34.89 49.09 38.32 26.99 14.06 11.63 10.09 9.70 10.32 14.10 17.49 21.36

ACUM 31.00 28.00 31.00 30.00 31.00 30.00 31.00 31.00 30.00 31.00 30.00 31.00

mm3

mm3

31.00 93.45 59.00 118.76 90.00 102.64 120.00 69.95 151.00 37.65 181.00 30.15 212.00 27.04 243.00 25.97 273.00 26.74 304.00 37.78 334.00 45.33 365.00 57.21

93.45 212.21 314.85 384.80 422.45 452.60 479.63 505.60 532.34 570.11 615.44 672.65

CURVA MASA 800.00 Qs

700.00

V ACUM (mm3)

600.00

capacidad mínima de embalse

500.00

Series1 Series2

400.00 300.00 200.00 100.00 0.00 0.00

100.00

200.00 TIEMPO

300.00

400.00

Al unir las tangentes con una linea vertical tenemos la capacidad mínima del embalse para satisfacer el caudal seguro Qs QU = 145.00

CONSTRUCCION DE LA CURVA DE DURACION

1º. Ordenar descendentemente los datos mensuales dandole una numeración 2º. Luego calcular el promedio de estos AÑO

1

2

3

4

5

6

7

1980

43.34

34.56

17.99

17.06

15.09

15.00

14.23

1981

65.45

44.56

38.59

23.52

22.34

19.90

1982

52.45

47.33

45.56

25.47

24.34

1983

37.56

32.23

30.34

23.55

1984

106.45

47.34

34.56

1985

67.45

46.56

1986

76.56

1987

8

9

10

11

10.62

8.84

8.60

8.41

17.72

12.27

10.12

9.60

9.30

22.09

17.59

13.35

12.17

12.06

10.62

22.39

13.51

13.05

12.84

11.96

11.44

9.58

32.30

24.65

18.37

14.30

13.67

11.80

11.19

10.53

37.32

25.21

19.45

19.34

16.70

13.34

11.95

11.70

9.98

67.48

48.50

36.83

18.11

14.70

13.81

12.41

11.58

11.19

11.02

58.59

40.34

32.45

16.85

15.62

14.19

12.52

12.33

11.68

11.24

9.91

1988

68.56

68.45

28.34

27.45

13.90

13.62

11.19

11.11

10.29

9.42

9.20

1989

43.45

38.98

32.55

20.12

18.66

15.77

15.01

14.88

12.55

10.21

9.96

1990

51.68

44.66

28.44

21.23

20.82

17.70

17.29

16.45

12.38

12.36

12.13

1991

53.77

38.56

34.45

27.34

15.02

13.51

11.24

10.93

9.85

8.82

8.81

1992

14.56

12.73

11.11

10.57

10.56

10.33

10.28

10.10

9.50

9.07

6.38

PROM

56.91

43.37

32.32

23.65

18.53

16.00

14.23

12.64

11.13

10.53

9.68

%

8.33

16.67

25.00

33.33

41.67

50.00

58.33

66.67

75.00

83.33

91.67

CURVA DE DURACION 60.00

Q (m3/seg)

50.00

40.00 30.00

Series1

20.00 10.00 0.00 0.00

20.00

40.00

60.00 %

80.00

100.00

120.00

Indica el % de tiempo durante el cual los caudales han sido igualados o excedidos

m3/s)

ASA

DIC 17.99 38.59 25.47 22.39 24.65 25.21 13.81 14.19 11.19 14.88 51.68 11.24 6.37

21.36

201.61

URACION

12 7.87 8.12 10.57 9.24 10.16 9.30 10.96 9.63 7.20 9.83 10.42 7.78 6.37 9.03 100.00

CAUDALES MEDIOS MENSUALES (m3/s) Estacion: SAN RAFAEL AÑO

ENE

FEB

MAR

ABR

MAY

JUN

JUL

AGO

SET

1985

110.34

173.34

189.50

102.23

52.23

34.10

40.65

39.34

38.34

1986

17.45

267.45

206.34

132.22

67.12

43.23

35.75

49.34

45.67

1987

214.45

229.45

184.23

138.23

76.32

66.32

53.77

53.23

66.45

1988

165.45

167.46

175.34

163.25

70.12

59.34

46.01

45.34

65.45

1989

172.34

389.90

261.12

211.23

84.23

63.23

53.08

59.34

50.34

1990

124.34

207.34

202.34

184.23

135.23

65.23

48.94

43.12

64.23

1991

217.34

284.23

291.12

182.12

123.22

59.24

56.46

56.34

61.23

1992

254.34

196.34

131.23

105.23

66.23

57.23

62.18

44.23

49.34

1993

275.45

221.34

147.23

158.23

80.12

50.23

43.24

29.34

45.34

1994

144.34

154.45

172.23

173.23

79.23

60.23

48.48

48.23

57.34

1995

131.34

145.34

102.23

96.23

79.34

88.58

47.43

38.23

57.34

1996

145.34

194.56

181.12

147.23

90.22

67.12

45.10

38.23

42.12

1997

117.45

101.23

142.12

83.21

47.34

40.23

32.86

35.34

38.34

PROM 160.77

210.19

183.55

144.37

80.84

58.02

47.23

44.59

52.43

CONSTRUCCION DE LA CURVA MASA

1º. Transformar los Q (mm3/s), a volumenes V(millones de m3)

V = 0.0864QT Donde:

V = volumen, en MM3 (millones de m3) T = número de días del mes Q = caudal en m3/s

2º. Acumular los volumenes y obtener la columna de volumenes acumulados AÑO

Q

DIAS

m3/s ENE

160.77

31

DIAS

V

VOL acumulado

ACUM

mm3

mm3

31

430.598

430.598

FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC

210.19 183.55 144.37 80.84 58.02 47.23 44.59 52.43 88.21 113.43 117.30

28 31 30 31 30 31 31 30 31 30 31

508.484 491.620 374.219 216.528 150.398 126.493 119.426 135.887 236.268 294.001 314.170

59 90 120 151 181 212 243 273 304 334 365

939.082 1430.703 1804.922 2021.450 2171.848 2298.340 2417.766 2553.652 2789.920 3083.921 3398.091

CURVA MASA 4000.000 Qs

V ACUM (mm3)

3500.000 3000.000

capacidad mínima de

2500.000 2000.000 1500.000 1000.000 500.000 0.000 0

50

100

150

200

250

300

350

400

TIEMPO Al unir las tangentes con una linea vertical tenemos la capacidad mínima del embalse para satisfacer el caudal seguro Qs QU = 120.00

CONSTRUCCION DE LA CURVA DE DURACION 1º. Ordenar descendentemente los datos mensuales dandole una numeración

2º. Luego calcular el promedio de estos AÑO

1

2

3

4

5

6

7

8

9

1985

189.50

173.34

112.23

110.34

110.34

102.23

90.12

52.23

40.65

1986

267.45

206.34

189.34

142.23

132.22

116.34

67.12

49.34

45.67

1987

229.45

214.45

184.23

165.34

148.23

138.23

119.34

76.32

66.45

1988

175.34

167.46

165.45

163.25

126.23

76.45

74.23

70.12

65.45

1989

389.90

261.12

211.23

172.34

156.23

138.34

84.23

79.34

63.23

1990

207.34

202.34

184.23

135.23

130.23

124.34

109.23

78.34

65.23

1991

291.12

284.23

217.34

182.12

123.22

93.23

89.34

69.34

61.23

1992

254.34

196.34

131.23

105.23

95.34

95.34

69.34

66.23

62.18

1993

275.45

221.34

158.23

147.23

103.23

80.12

79.23

58.34

50.23

1994

173.23

172.23

154.45

144.34

97.34

96.34

89.34

79.23

60.23

1995

193.23

159.34

145.34

131.34

121.23

102.23

96.23

88.58

79.34

1996

194.56

181.12

147.23

145.34

106.23

90.22

85.34

67.12

64.23

1997

142.12

117.45

101.23

88.12

83.21

74.23

56.34

47.34

40.23

PROM 229.46 196.70 161.67 140.96 117.94 102.13 % 8.33 16.67 25.00 33.33 41.67 50.00

85.34 67.84 58.33 66.67

58.80 75.00

CURVA DE DURACION 250.00

Q (m3/seg)

200.00 150.00 Series1 100.00 50.00

0.00 0.00

20.00

40.00

60.00 %

80.00

100.00

120.00

Indica el % de tiempo durante el cual los caudales han sido igualados o excedidos

S (m3/s)

VA MASA

OCT

NOV

DIC

112.23

90.12

110.34

116.34

142.23

189.34

119.34

165.34

148.23

74.23

76.45

126.23

79.34

156.23

138.34

78.34

109.23

130.23

69.34

89.34

93.23

69.34

95.34

95.34

58.34

79.23

103.23

96.34

97.34

89.34

121.23

193.23

159.34

64.23

106.23

85.34

88.12

74.23

56.34

88.21 113.43

117.30

Series1 Series2

E DURACION

10

11

12

39.34

38.34

34.10

43.23

35.75

17.45

66.32

53.77

53.23

59.34

46.01

45.34

59.34

53.08

50.34

64.23

48.94

43.12

59.24

56.46

56.34

57.23

49.34

44.23

45.34

43.24

29.34

57.34

48.48

48.23

57.34

47.43

38.23

45.10

42.12

38.23

38.34

35.34

32.86

53.21 46.02 83.33 91.67

Series1

40.85 100.00

CAUDALES MEDIOS MENSUALES (m3/s) Estacion: PALLANCHACRA AÑO

ENE

FEB

MAR

ABR

MAY

JUN

JUL

AGO

SET

OCT

1985

86.45

110.34

134.23

76.45

45.34

29.45

34.34

34.34

30.34

80.34

1986

90.34

176.35

146.34

98.45

50.23

37.23

29.23

40..45

39.34

57.45

1987

145.34

167.34

125.23

98.34

59.45

54.23

45.34

39.34

50.23

85.34

1988

114.23

117.23

124.23

118.89

57.56

49.34

39.34

38.23

50.18

57.45

1989

119.23

256.35

178.45

147.45

65.78

40.34

45.34

49.34

40.34

60.34

1990

86.34

146.34

137.35

128.46

97.34

48.35

30.34

38.34

50.30

59.34

1991

146.34

186.34

194.23

127.34

89.34

48.34

45.34

46.45

49.34

54.23

1992

169.35

135.34

94.23

77.33

57.34

49.34

40.34

38.34

35.34

52.23

1993

170.34

140.34

104.23

106.23

63.23

40.23

39.34

27.35

39.34

46.45

1994

105.34

104.23

123.23

123.23

58.34

40.34

39.34

38.34

46.34

73.34

1995

98.23

95.23

78.56

70.45

56.34

69.34

30.34

34.23

45.34

80.34

1996

98.23

136.34

126.34

104.23

69.34

59.23

38.34

33.34

39.34

49.34

1997

80.34

79.45

104.23

63.23

38.34

35.34

29.34

29.23

32.23

65.56

142.40

128.53

103.08

62.15 46.24 37.41 37.24

42.15

63.21

PROM 116.16

CONSTRUCCION DE LA CURVA MASA

1º. Transformar los Q (mm3/s), a volumenes V(millones de m3)

V = 0.0864QT Donde:

V = volumen, en MM3 (millones de m3) T = número de días del mes Q = caudal en m3/s

2º. Acumular los volumenes y obtener la columna de volumenes acumulados

AÑO

Q

DIAS

ENE

116.16 142.40 128.53 103.08 62.15 46.24 37.41 37.24 42.15 63.21 79.43 83.72

m3/s FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC

31 28 31 30 31 30 31 31 30 31 30 31

V

DIAS

VOL acumulado

ACUM

mm3

mm3

31 59 90 120 151 181 212 243 273 304 334 365

311.127 344.498 344.253 267.191 166.467 119.850 100.195 99.741 109.263 169.306 205.871 224.248

311.127 655.625 999.878 1267.069 1433.536 1553.386 1653.580 1753.322 1862.585 2031.890 2237.761 2462.009

CURVA MASA 3000.000 Qs

2500.000 capacidad mínima de embalse

V ACUM (mm3)

2000.000

Series1 Series2

1500.000

1000.000

500.000

0.000 0

100

200 TIEMPO

300

400

Al unir las tangentes con una linea vertical tenemos la capacidad mínima del embalse para satisfacer el caudal seguro Qs QU = 450.00

CONSTRUCCION DE LA CURVA DE DURACION 1º. Ordenar descendentemente los datos mensuales dandole una numeración 2º. Luego calcular el promedio de estos

AÑO

1

2

3

4

5

6

7

8

9

10

1980

134.23

110.34

86.45

84.45

80.34

76.45

68.45

45.34

34.34

34.34

1981

176.35

146.34

145.34

98.45

94.23

90.34

57.45

50.23

39.34

37.23

1982

167.34

145.34

125.23

110.23

98.34

94.34

85.34

59.45

54.23

50.23

1983

124.23

118.89

117.23

114.23

90.23

59.45

57.56

57.45

50.18

49.34

1984

256.35

178.45

147.45

119.23

96.45

87.45

65.78

60.34

49.34

45.34

1985

146.34

137.35

128.46

97.34

96.45

86.34

79.45

59.34

50.30

48.35

1986

194.23

186.34

146.34

127.34

89.34

65.34

64.34

54.23

49.34

48.34

1987

169.35

135.34

94.23

77.33

70.34

68.34

57.34

52.23

49.34

40.34

1988

170.34

140.34

106.23

104.23

67.45

63.23

59.34

46.45

40.23

39.34

1989

123.23

123.23

105.34

104.23

73.34

70.34

66.01

58.34

46.34

40.34

1990

134.23

119.34

98.23

95.23

80.34

78.56

70.45

69.34

56.34

45.34

1991

136.34

126.34

104.23

98.23

75.34

69.34

59.23

56.34

49.34

39.34

1992

104.23

80.34

79.45

65.56

63.23

58.34

39.34

38.34

35.34

32.23

PROM

156.68

134.46

114.17

99.70

82.72

74.45

63.85

54.42

46.46

42.32

8.33

16.67

25.00

33.33

41.67

50.00

58.33

66.67

75.00

83.33

CURVA DE DURACION 180.00 160.00 140.00 Q (m3/seg)

%

120.00 100.00

Series1

80.00 60.00 40.00

20.00 0.00 0.00

20.00

40.00

60.00 %

80.00

100.00

120.00

Indica el % de tiempo durante el cual los caudales han sido igualados o excedidos

S (m3/s)

MASA

NOV

DIC

68.45

84.45

94.23

145.34

110.23

94.34

59.45

90.23

87.45

96.45

79.45

96.45

65.34

64.34

70.34

68.34

59.34

67.45

70.34

66.01

134.23

119.34

75.34

56.34

58.34

39.34

79.43 83.72

Series1 Series2

DURACION

11

12

30.34

29.45

29.23

34.34

45.34

39.34

39.34

38.23

40.34

40.34

38.34

30.34

46.45

45.34

38.34

35.34

39.34

27.35

39.34

38.34

34.23

30.34

38.34

33.34

29.34

29.23

37.56

34.72

91.67

Series1

}}}

100.00

CAUDALES MEDIOS MENSUALES (m3/s) Estacion: CHAUPIMARCA AÑO

ENE

FEB

MAR

ABR

MAY

JUN

JUL

AGO

SET

OCT

1985

87.45

112.20

132.23

74.23

43.34

29.45

32.30

32.23

32.23

81.23

1986

93.30

156.45

142.23

93.23

51.23

34.34

21.23

40.34

32.23

54.45

1987

134.20

145.00

123.23

94.34

56.34

42.23

43.34

32.23

51.23

79.45

1988

112.00

123.00

109.00

115.34

52.23

45.34

32.23

31.23

39.99

51.23

1989

132.00

231.20

176.56

147.56

67.45

41.23

43.34

43.34

41.23

42.23

1990

83.00

142.23

134.23

123.45

93.34

45.45

30.34

32.23

51.23

49.45

1991

142.10

184.34

194.23

132.34

83.34

43.34

42.23

43.34

23.56

52.23

1992

109.45

132.23

92.23

73.45

56.45

49.34

40.34

25.45

36.56

53.34

1993

156.45

143.23

103.23

103.45

62.12

41.23

32.23

23.34

39.45

43.34

1994

103.23

103.23

112.23

142.34

54.34

42.34

32.23

32.23

42.34

75.67

1995

94.23

96.23

73.23

72.34

56.34

54.45

30.34

32.34

46.45

84.45

1996

94.12

137.34

121.12

104.34

69.34

34.34

32.23

34.44

32.34

43.34

1997

80.23

92.23

102.23

62.45

38.34

31.23

25.23

26.56

34.45

67.56

138.38

124.31

102.99

60.32 41.10 33.66 33.02

38.71

59.84

PROM 109.37

CONSTRUCCION DE LA CURVA MASA

1º. Transformar los Q (mm3/s), a volumenes V(millones de m3)

V = 0.0864QT Donde:

V = volumen, en MM3 (millones de m3) T = número de días del mes Q = caudal en m3/s

2º. Acumular los volumenes y obtener la columna de volumenes acumulados

AÑO

Q

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

m3/s 109.37 138.38 124.31 102.99 60.32 41.10 33.66 33.02 38.71 59.84 76.66 74.90

DIAS

DIAS

V

VOL acumulado

31 28 31 30 31 30 31 31 30 31 30 31

ACUM 31 59 90 120 151 181 212 243 273 304 334 365

mm3 292.926 334.763 332.942 266.948 161.569 106.533 90.161 88.449 100.348 160.286 198.713 200.622

mm3 292.926 627.690 960.631 1227.579 1389.149 1495.682 1585.843 1674.292 1774.640 1934.926 2133.639 2334.261

CURVA MASA 3000.000 Qs 2500.000 capacidad mínima de embalse

V ACUM (mm3)

2000.000

Series1 Series2

1500.000

1000.000

500.000

0.000 0

100

200 TIEMPO

300

400

Al unir las tangentes con una linea vertical tenemos la capacidad mínima del embalse para satisfacer el caudal seguro Qs QU = 450.00

CONSTRUCCION DE LA CURVA DE DURACION 1º. Ordenar descendentemente los datos mensuales dandole una numeración 2º. Luego calcular el promedio de estos

AÑO

1

2

3

4

5

6

7

8

9

10

1980

132.23

112.20

87.45

81.23

74.23

63.34

56.56

43.34

32.30

32.23

1981

156.45

142.23

122.23

93.30

93.23

92.23

54.45

51.23

40.34

34.34

1982

145.00

134.20

123.23

112.34

94.34

92.23

79.45

56.34

51.23

43.34

1983

123.00

115.34

112.00

109.00

56.56

56.56

52.23

51.23

45.34

39.99

1984

231.20

176.56

147.56

132.00

92.23

83.34

67.45

43.34

43.34

42.23

1985

142.23

134.23

123.45

93.34

93.34

83.00

73.34

51.23

49.45

45.45

1986

194.23

184.34

142.10

132.34

83.34

67.45

63.34

52.23

43.34

43.34

1987

132.23

109.45

92.23

73.45

73.34

65.56

56.45

53.34

49.34

40.34

1988

156.45

143.23

103.45

103.23

62.23

62.12

50.34

43.34

41.23

39.45

1989

142.34

112.23

103.23

103.23

75.67

72.12

64.45

54.34

42.34

42.34

1990

132.23

113.34

96.23

94.23

84.45

73.23

72.34

56.34

54.45

46.45

1991

137.34

121.12

104.34

94.12

74.44

69.34

52.34

43.34

34.44

34.34

1992

102.23

92.23

80.23

67.56

62.45

45.56

39.34

38.34

34.45

31.23

PROM

148.24

130.05

110.59

99.18

78.45

71.24

60.16

49.08

43.20

39.62

8.33

16.67

25.00

33.33

41.67

50.00

58.33

66.67

75.00

83.33

CURVA DE DURACION 180.00 160.00 140.00

Q (m3/seg)

%

120.00 100.00

Series1

80.00 60.00 40.00 20.00 0.00 0.00

20.00

40.00

60.00 %

80.00

100.00

120.00

Indica el % de tiempo durante el cual los caudales han sido igualados o excedidos

m3/s)

SA

NOV

DIC

63.34

56.56

92.23

122.23

112.34

92.23

56.56

56.56

83.34

92.23

73.34

93.34

67.45

63.34

73.34

65.56

50.34

62.23

72.12

64.45

132.23

113.34

74.44

52.34

45.56

39.34

76.66 74.90

Series1 Series2

RACION

11

12

32.23

29.45

32.23

34.34

42.23

32.23

32.23

31.23

41.23

41.23

32.23

30.34

42.23

23.56

36.56

25.45

32.23

23.34

32.23

32.23

32.34

30.34

32.34

32.23

26.56

25.23

34.37

30.09

91.67

Series1

100.00

}}}