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7/17/2019 Curva Masa

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CURVA DE DURACION

ESTACION SATIPOQ(M3/S) ORDENADO

61.476 134.205 RANGO = 83.8973.851 133.633 NC = 4.9881.470 119.801 NC = 5.00

58.611 109.827 ▲X = 16.78

69.305 103.354

77.657 97.699

73.638 97.252INTERVALOS DE CLASE

LIMITE

50.311 89.447 INFERIOR

80.038 84.819 134.21 117.43 117.4370.735 81.470 117.43 100.65 100.65

79.583 80.038 100.65 83.87 83.87

89.447 79.583 83.87 67.09 67.09

84.819 77.657 67.09 50.31 50.3197.252 73.851

109.827 73.638

134.205 70.735

133.633 69.305

103.354 61.476

119.801 58.61197.699 50.311

0.00 20.00 40.00 60.00 80.00 100.00 12

0.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

CURA !E !URACION

" PORCENTA#E

$IMITE IN%ERIOR



CURVA DE DURACION

ESTACION PERENEQ(M3/S) ORDENADO

114.805 179.793 RANGO = 133.0&

179.793 165.871 NC = 4.98

106.240 156.871 NC = 5.00

120.027 135.405 ▲X = &6.60

131.914 134.833

77.755 131.914

87.575 121.001INTERVALOS DE CLASE

LIMITE

46.769 120.027 INFERIOR

105.628 114.805 179.79 153.19 153.19

156.871 111.027 153.19 126.58 126.58

80.783 106.240 126.58 99.98 99.98

90.647 104.554 99.98 73.37 73.37

86.019 105.628 73.37 46.77 46.77

98.452 98.899

111.027 98.452

135.405 80.783134.833 87.575

104.554 86.019

121.001 77.755

98.899 46.769

0.00 20.00 40.00 60.00 80.00 100.00 12

0.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

160.00

180.00

CURA !E !URACION

$IMITE IN%ERIOR



C

ESTACION PUERTO OCOPQ(M3/S) ORDENADO

67.876 152.07185.498 130.60560.114 130.033

57.386 116.201

61.490 106.227

61.737 100.828

FRECUENCIA NºDIAS

%DIAS60.972 99.754

(QL!" 48.741 94.099

3.00 3.00 15.00 100.828 93.6522.00 5.00 25.00 152.071 85.847

4.00 9.00 45.00 75.983 85.498

8.00 17.00 85.00 85.847 81.219

3.00 20.00 100.00 81.219 75.983

20.00 93.652 67.876

106.227 61.737130.605 61.490130.033 60.972

99.754 60.114

116.201 57.38694.099 48.741

.00

CURVA DE DURACION

0

20

40

60

80

100

120

140

$IMITE IN%ERIOR



ESTACION PIC'ANAQUIQ(M3/S) ORDENADO

102.711 153

153.956 153

94.545 131

98.787 131

130.627 130

74.155 117

FRECUENCIA NºDIAS

%DIAS83.975 107

(QL!" 43.169 102

3.00 3.00 15.00 102.028 102

3.00 6.00 30.00 153.271 100

7.00 13.00 65.00 77.183 98

6.00 19.00 95.00 87.047 95

1.00 20.00 100.00 82.419 94

20.00 94.852 94

107.427 87

131.805 83131.233 82

100.954 74

117.401 77

95.299 43

.00

CURVA DE DURACION

0

20

40

60

80

100

120

140

$IMITE IN%ERIOR



A DE DURACION

RANGO = 103.33

NC = 4.98

NC = 5.00

▲X = &0.67

INTERVALOS DE CLASE LIMITE

FRECUENCIA NºDIAS

%DIASINFERIOR (QL!"

152.07 131.40 131.40 3.00 3.00 15.00131.40 110.74 110.74 1.00 4.00 20.00

110.74 90.07 90.07 5.00 9.00 45.00

90.07 69.41 69.41 4.00 13.00 65.00

69.41 48.74 48.74 7.00 20.00 100.00

20.00

20.00 40.00 60.00 80.00 100.00 120.00

CURA !E !URACION

CURVA DE DURACION

" PORCENTA#E



CURVA DE DURACION

RANGO = 110.79

NC = 4.98

NC = 5.00

▲X = &&.16

INTERVALOS DE CLASE LIMITE

FRECUENCIA NºDIAS

%DIASINFERIOR (QL!"

153.96 131.80 131.80 3.00 3.00 15.00

131.80 109.64 109.64 3.00 6.00 30.00

109.64 87.48 87.48 8.00 14.00 70.00

87.48 65.33 65.33 5.00 19.00 95.00

65.33 43.17 43.17 1.00 20.00 100.00

20.00

0 20.00 40.00 60.00 80.00 100.00 120.00

CURA !E !URACION

CURVA DE DURACION



N AO P (")ESTACION SATIPO ESTACION #ERENE ESTACI

Q(M3/S) ORDENADO Q(M3/S) ORDENADO Q(M3/S)

1 1990 2.5 61.476 134.205 67.876 152.071 114.8052 1991 7.5 73.851 133.633 85.498 130.605 179.7933 1992 12.5 81.470 119.801 60.114 130.033 106.240

4 1993 17.5 58.611 109.827 57.386 116.201 120.027

5 1994 22.5 69.305 103.354 61.490 106.227 131.9146 1995 27.5 77.657 97.699 61.737 100.828 77.7557 1996 32.5 73.638 97.252 60.972 99.754 87.575

8 1997 37.5 50.311 89.447 48.741 94.099 46.769

9 1998 42.5 80.038 84.819 100.828 93.652 105.62810 1999 47.5 70.735 81.470 152.071 85.847 156.871

11 2000 52.5 79.583 80.038 75.983 85.498 80.783

12 2001 57.5 89.447 79.583 85.847 81.219 90.647

13 2002 62.5 84.819 77.657 81.219 75.983 86.019

14 2003 67.5 97.252 73.851 93.652 67.876 98.452

15 2004 72.5 109.827 73.638 106.227 61.737 111.027

16 2005 77.5 134.205 70.735 130.605 61.490 135.405

17 2006 82.5 133.633 69.305 130.033 60.972 134.833

18 2007 87.5 103.354 61.476 99.754 60.114 104.554

19 2008 92.5 119.801 58.611 116.201 57.386 121.00120 2009 97.5 97.699 50.311 94.099 48.741 98.899

1.500

1.600

1.700

1.800

1.900

2.000

2.100

2.200

2.300

2.400

CURAS !E ARIA

$OGARITMO CAU!A$ (*3/+)

VA DE ARIACION



PROAI$I!A! (")



N PUERTO OCOPA ESTACION PIC'ANAQUIORDENADO Q(M3/S) ORDENADO $OGARITMOS

179.793 102.711 153.956 2.128 2.182 2.255 2.187165.871 153.956 153.271 2.126 2.116 2.220 2.185156.871 94.545 131.805 2.078 2.114 2.196 2.120

135.405 98.787 131.233 2.041 2.065 2.132 2.118

134.833 130.627 130.627 2.014 2.026 2.130 2.116131.914 74.155 117.401 1.990 2.004 2.120 2.070121.001 83.975 107.427 1.988 1.999 2.083 2.031

120.027 43.169 102.711 1.952 1.974 2.079 2.012

114.805 102.028 102.028 1.928 1.972 2.060 2.009111.027 153.271 100.954 1.911 1.934 2.045 2.004

106.240 77.183 98.787 1.903 1.932 2.026 1.995

104.554 87.047 95.299 1.901 1.910 2.019 1.979

105.628 82.419 94.852 1.890 1.881 2.024 1.977

98.899 94.852 94.545 1.868 1.832 1.995 1.976

98.452 107.427 87.047 1.867 1.791 1.993 1.940

80.783 131.805 83.975 1.850 1.789 1.907 1.924

87.575 131.233 82.419 1.841 1.785 1.942 1.916

86.019 100.954 74.155 1.789 1.779 1.935 1.870

77.755 117.401 77.183 1.768 1.759 1.891 1.88846.769 95.299 43.169 1.702 1.688 1.670 1.635

ION ESTACIONA$

SATIPO

PERENE

PUERTO OCOPA

PICHANAQUI

ESTACIONA$



ESTACI,NAO MESES

CAU!A$!IAS

(*3/+-)

2002 ENE 9.5235 31

2002.0833333 FEB 6.861 28

2002.1666667 MAR 7.3045 31

2002.25 ABR 4.2665 30

2002.3333333 MAY 3.793 31

2002.4166667 JUN 3.8565 30

2002.5 JUL 3.5755 31

2002.5833333 AGO 3.7725 31

2002.6666667 SEP 3.6185 30

2002.75 OCT 4.557 31

2002.8333333 NOV 8.7565 30

2002.9166667 DIC 8.2695 31

2003 ENE 8.2705 31

2003.0833333 FEB 7.797 28

2003.1666667 MAR 17.0205 31

1989.8 1990 1990.2 1990.4 10

50

100

150

200

250

300

CURA

O$ ACUMI$A!O



ESTACION PUENA*O MESES

CAUDALDIAS

('3+,-"

2002 ENE 69.02 31

2002.0833333 FEB 71.01 28

2002.1666667 MAR 157.95 31

2002.25 ABR 109.83 30

2002.3333333 MAY 38.04 31

2002.4166667 JUN 25.09 30

2002.5 JUL 29.14 31

2002.5833333 AGO 24.85 31

2002.6666667 SEP 30.26 30

2002.75 OCT 40.92 31

2002.8333333 NOV 38.92 30

2002.9166667 DIC 36.25 31

2003 ENE 65.7 31

2003.0833333 FEB 106.87 28

2003.1666667 MAR 112.11 31

TIE

1989.8 1990 1990.2 1990.4 10

50

100

150

200

250

300

CURA

O$ ACUMI$A!O



CALCULOS / 31.00 93.18

0.00 4&.64

' 1.63 334.00 587.15C 93.1761792 365.00 637.69MA/ 0 31.00 &46.89C 391.9888512 1&0.00 391.99

365.00 791.4131.00 75.371&0.00 &&0.46

C 569.3430816 334.00 569.34365.00 619.88

QU 120.00 391.99

120.00 220.46ST 334.00 587.15

334.00 569.34

TIE



CURVA MASA

ATIPO!IAS ACUM.ACUMU$A!O **3 **3

31 25.51 25.51

59 16.60 42.11

90 19.56 61.67

120 11.06 72.73

151 10.16 82.89

181 10.00 92.88

212 9.58 102.46

243 10.10 112.57

273 9.38 121.94

304 12.21 134.15

334 22.70 156.85

365 22.15 179.00

396 22.15 201.15

424 18.86 220.01

455 45.59 265.60

90.6 1990.8 1991 1991.2 1991.4

MASA

C$&' )

CAUDALSE)URO

M!!' !- -',- ,!,- - &,-&$.

O$



E PERENEDIAS V V ACUM.

ACUMULADO ''3 ''3

31 184.86 184.86

59 171.79 356.65

90 423.05 779.70

120 284.68 1064.38

151 101.89 1166.27

181 65.03 1231.30

212 78.05 1309.35

243 66.56 1375.91

273 78.43 1454.34

304 109.60 1563.94

334 100.88 1664.82

365 97.09 1761.92

396 175.97 1937.89

424 258.54 2196.43

455 300.28 2496.70

PO

90.6 1990.8 1991 1991.2 1991.4

MASA

C$&' )

CAUDALSE)URO



CALC

ANA$ISIS !E $A CUIRA MASA

CAPACI!A! MNIMA !E EMA$SE QU 171.5&O$ A$MCENA!O ANTES QUE EMPIEE E$ T AC 17.81 '

O$UMEN A A$MACENAR !URANTE$ PERIO!O QR 349.35 CCAPACI!A! !E$ RESERORIO Q 391.99 MA/RESERORIO ACIO T 17.81 C

C

QU

ST

MPO



ESTACI,N PUERTO OCOPAAO MESES

CAU!A$!IAS

!IAS

(*3/+-) ACUMU$A!O **32002 ENE 3.49 31 31 9.35

2002.083 FEB 3.505 28 59 8.48

2002.167 MAR 3.4695 31 90 9.29

2002.25 ABR 3.699 30 120 9.59

2002.333 MAY 3.523 31 151 9.44

2002.417 JUN 3.8565 30 181 10.00

2002.5 JUL 14.577 31 212 39.04

2002.583 AGO 7.191 31 243 19.26

2002.667 SEP 4.4375 30 273 11.50

2002.75 OCT 4.4825 31 304 12.01

2002.833 NOV 8.7565 30 334 22.70

2002.917 DIC 8.2695 31 365 22.15

2003 ENE 4.063 31 396 10.88

2003.083 FEB 4.008 28 424 9.70

2003.167 MAR 4.0055 31 455 10.73

1989.8 1990 1990.2 1990.4 1990.6 1990.8 1991 1991.0

500

1000

1500

2000

2500

CURA MASA

CUMI$A!O

CAUDALSE)URO



ESTACION PIC'ANAQUIA*O MESES

CAUDALDIAS

DIAS V

('3+,-" ACUMULADO ''3

2002 ENE 112.4899 31 31 301.29

2002.083 FEB 155.7596 28 59 376.81

2002.167 MAR 28.2008 31 90 75.53

2002.25 ABR 72.2654 30 120 187.31

2002.333 MAY 24.9739 31 151 66.89

2002.417 JUN 13.7152 30 181 35.55

2002.5 JUL 22.2787 31 212 59.67

2002.583 AGO 23.6244 31 243 63.28

2002.667 SEP 24.4954 30 273 63.49

2002.75 OCT 23.0832 31 304 61.83

2002.833 NOV 41.4566 30 334 107.46

2002.917 DIC 78.4532 31 365 210.13

2003 ENE 101.4676 31 396 271.77

2003.083 FEB 140.3374 28 424 339.50

2003.167 MAR 35.6887 31 455 95.59

1989.8 1990 1990.2 1990.4 1990.6 1990.8 190

50

100

150

200

250

300

CURA MASA

O$ ACUMI$A!O



ULOS /

31.00 1&9.84

1&0.00 36&.51 ANA$ISIS !E $A CUIR2.61 334.00 9&1.98 CA#ACIDAD M:NIMA DE EM;ALSE

129.8376 365.00 1003.03 VOL ALMCENADO ANTES QUE EM#IE<E EL T

0 31.00 &90.88 VOLUMEN A ALMACENAR DURANTEL #ERIODO

523.559 1&0.00 5&3.56 CA#ACIDAD DEL RESERVORIO

365.00 1164.07 RESERVORIO VACIO31.00 1&7.681&0.00 360.36

919.8272 334.00 919.83365.00 1000.87

120.00 523.56120.00 360.36334.00 921.98334.00 919.83

TIEMPO



ACUM.

**3

9.35

17.83

27.12

36.71

46.14

56.14

95.18

114.44

125.94

137.95

160.65

182.80

193.68

203.38

214.10

1991.4

C$&' )

M!!' !- -',- ,!,- - &,-&$.



V ACUM.

''3

301.29

678.11

753.64

940.95

1007.84

1043.39

1103.06

1166.34

1229.83

1291.66

1399.11

1609.24

1881.01

2220.52

2316.10

1 1991.2 1991.4

C$&' )

CAUDALSE)URO



MASAQU 163.&0AC &.16QR 161.04Q 5&3.56T &.16



CURVA DE D

ESTACIO

AÑO PROM Q A$OR*3/+ ACUMU$A!O

1960 11.00 11.001961 16.70 &7.70196& 15.43 43.131963 1&.30 55.431964 17.90 73.331965 17.79 91.1&1966 &1.16 11&.&81967 &7.59 139.871968 3&.33 17&.&01969 &8.0& &00.&&PROM &0.0&

ESTACIO

AÑO PROM Q A$OR

*3/+ ACUMU$A!O1960 &5.55 &5.551961 &6.56 5&.11196& &4.&3 76.351963 &9.97 106.311964 &7.78 134.101965 30.7& 164.811966 37.58 &0&.401967 4&.1& &44.511968 38.44 &8&.951969 31.03 313.98PROM &0.38

01954

1956

1958

1960

196&

1964

1966

1968

1970

0 501954

1956

19581960

196&

1964

1966

1968

1970



ESTACION: P


1960 38.07 38.071961 4&.86 80.93196& 41.59 1&&.5&1963 39.19 161.711964 45.98 &07.691965 45.84 &53.531966 47.3& 300.851967 53.75 354.59

1968 58.49 413.081969 54.18 467.&7PROM &0.38

ESTACION:


1960 51.01 51.011961 56.47 107.48196& 55.21 16&.701963 52.83 &15.531964 59.62 &75.151965 59.48 334.631966 60.96 395.59

1967 67.37 46&.951968 72.11 535.061969 67.80 60&.87PROM &0.38

0 5019541956

1958

1960

196&

1964

1966

1968

1970

01954

1956

1958

1960

196&

1964

1966

1968

1970



SCARGA

: SATIPO

: PERENE

50 100 150 &00 &50

CURA !E !ESCARGA

100 150 &00 &50 300 350



ERTO OCOPA

ICHANAQUI

100 150 &00 &50 300 350 400 450 500

50 100 150 &00 &50

CURA !E !ESCARGA

curva masa

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