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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
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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
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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
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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
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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
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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
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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
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PROAI$I!A! (")
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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$
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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$A!O
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ESTACION PUENA*O MESES
CAUDALDIAS
('3+,-"
2002 ENE 69.02 31
2002.0833333 FEB 71.01 28
2002.1666667 MAR 157.95 31
2002.25 ABR 109.83 30
2002.3333333 MAY 38.04 31
2002.4166667 JUN 25.09 30
2002.5 JUL 29.14 31
2002.5833333 AGO 24.85 31
2002.6666667 SEP 30.26 30
2002.75 OCT 40.92 31
2002.8333333 NOV 38.92 30
2002.9166667 DIC 36.25 31
2003 ENE 65.7 31
2003.0833333 FEB 106.87 28
2003.1666667 MAR 112.11 31
TIE
1989.8 1990 1990.2 1990.4 10
50
100
150
200
250
300
CURA
O$ ACUMI$A!O
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CALCULOS / 31.00 93.18
0.00 4&.64
' 1.63 334.00 587.15C 93.1761792 365.00 637.69MA/ 0 31.00 &46.89C 391.9888512 1&0.00 391.99
365.00 791.4131.00 75.371&0.00 &&0.46
C 569.3430816 334.00 569.34365.00 619.88
QU 120.00 391.99
120.00 220.46ST 334.00 587.15
334.00 569.34
TIE
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CURVA MASA
ATIPO!IAS ACUM.ACUMU$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$
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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$&' )
CAUDALSE)URO
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CALC
ANA$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
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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$A!O
CAUDALSE)URO
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ESTACION PIC'ANAQUIA*O MESES
CAUDALDIAS
DIAS V
('3+,-" ACUMULADO ''3
2002 ENE 112.4899 31 31 301.29
2002.083 FEB 155.7596 28 59 376.81
2002.167 MAR 28.2008 31 90 75.53
2002.25 ABR 72.2654 30 120 187.31
2002.333 MAY 24.9739 31 151 66.89
2002.417 JUN 13.7152 30 181 35.55
2002.5 JUL 22.2787 31 212 59.67
2002.583 AGO 23.6244 31 243 63.28
2002.667 SEP 24.4954 30 273 63.49
2002.75 OCT 23.0832 31 304 61.83
2002.833 NOV 41.4566 30 334 107.46
2002.917 DIC 78.4532 31 365 210.13
2003 ENE 101.4676 31 396 271.77
2003.083 FEB 140.3374 28 424 339.50
2003.167 MAR 35.6887 31 455 95.59
1989.8 1990 1990.2 1990.4 1990.6 1990.8 190
50
100
150
200
250
300
CURA MASA
O$ ACUMI$A!O
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ULOS /
31.00 1&9.84
1&0.00 36&.51 ANA$ISIS !E $A CUIR2.61 334.00 9&1.98 CA#ACIDAD M:NIMA DE EM;ALSE
129.8376 365.00 1003.03 VOL ALMCENADO ANTES QUE EM#IE<E EL T
0 31.00 &90.88 VOLUMEN A ALMACENAR DURANTEL #ERIODO
523.559 1&0.00 5&3.56 CA#ACIDAD DEL RESERVORIO
365.00 1164.07 RESERVORIO VACIO31.00 1&7.681&0.00 360.36
919.8272 334.00 919.83365.00 1000.87
120.00 523.56120.00 360.36334.00 921.98334.00 919.83
TIEMPO
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ACUM.
**3
9.35
17.83
27.12
36.71
46.14
56.14
95.18
114.44
125.94
137.95
160.65
182.80
193.68
203.38
214.10
1991.4
C$&' )
M!!' !- -',- ,!,- - &,-&$.
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V ACUM.
''3
301.29
678.11
753.64
940.95
1007.84
1043.39
1103.06
1166.34
1229.83
1291.66
1399.11
1609.24
1881.01
2220.52
2316.10
1 1991.2 1991.4
C$&' )
CAUDALSE)URO
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MASAQU 163.&0AC &.16QR 161.04Q 5&3.56T &.16
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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
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ESTACION: P
AÑO PROM Q A$OR*3/+ ACUMU$A!O
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:
AÑO PROM Q A$OR*3/+ ACUMU$A!O
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
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SCARGA
: SATIPO
: PERENE
50 100 150 &00 &50
CURA !E !ESCARGA
100 150 &00 &50 300 350
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ERTO OCOPA
ICHANAQUI
100 150 &00 &50 300 350 400 450 500
50 100 150 &00 &50
CURA !E !ESCARGA