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GENERACION DE DESCARGAS EN CUENCA TOTAL MOLLEBAMBA
METODO PROPUESTO POR LA MISION TECNICA ALEMANA - 1980
Cuadro N° 6.1: Precipitación Efectivasegún el Bureao of Reclamation
P P. Efectiva: PE (mm)mm Curva I Curva II Curva III
0.0 0.0 0.0 0.0
10.0 0.0 1.0 2.0
20.0 0.0 2.0 4.0
30.0 0.0 3.0 6.0
40.0 0.5 4.0 8.0
50.0 1.0 6.0 11.0
60.0 1.5 8.0 14.0
70.0 3.0 10.0 18.0
80.0 4.0 14.0 24.0
90.0 5.5 18.0 30.0
100.0 8.0 23.0 39.0
110.0 11.0 29.0 48.0
120.0 15.0 36.0 58.0
130.0 19.0 43.0 68.0
140.0 24.0 52.0 78.0
150.0 30.0 60.0 88.0
160.0 37.0 69.0 98.0
170.0 45.0 79.0 108.0
180.0 55.0 89.0 118.0
0.15 0.3 0.5
Cuadro N° 6.2: Cálculo del Coeficiente de Escorrentía
Método de la Misión Alemana Método de L - Turc
Precipitación Media Anual: P 850.9 mm Temperatura Media Anual: T 8.7 °C
Evaporación Total Anual: ETP 1222 mm Coeficiente de Temperatura: L 550.4
Déficit de Escurrimiento: D 469.1 mm/año
Coeficiente de Escorrentía: C 0.28 Coeficiente de Escorrentía: C 0.45
Cuadro N° 6.4: Coeficientes deCuadro N° 6.3: Características Generales de la Microcuenca Cálculo - Precipitación Efectiva
Area de la cuenca: A 698.4 Km2 Coef. Curva I Curva II Curva IIIAltitud Media de la Microcuenca: H 3500 msnm -0.047000 -0.106500 -0.417700
Pendiente Media de la Microcuenca 0.95 m/m 0.009400 0.147700 0.379500
Precipitación Media Anual: P 850.9 mm -0.000500 -0.002900 -0.010100
Evaporación Total Anual: ETP 1222 mm 0.000020 0.000050 0.000200
Temperatura Media Anual: T 8.7 °C -5.00E-08 -2.00E-07 -9.00E-07
Déficit de Escurrimiento: D 469.1 mm/año 2.00E-10 2.00E-10 1.00E-09
Coeficiente de Escorrentía: C 0.45
Coeficiente de Agotamiento: a 0.0135 El rango de aplicación de los
Relación de Caudales (30 días): bo 0.667 coeficientes de la ecuación
a0
a1
a2
a3
a4
a5
0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
f(x) = 0.00000000141338 x⁵ − 0.000000867403 x⁴ + 0.000174853 x³ − 0.0100743 x² + 0.37952 x − 0.417724
Figura 6.1: Porción de Precipitación Efectiva Según Bureao Of Reclama-tion
Curva I Curva IICurva III Polynomial (Curva III)
Precipitación Mensual (mm)
Pre
cip
ita
ció
n E
fec
tiv
a (
mm
)
Area de lagunas y acuíferos 5 Km2 Polinómica de la PE estáGasto Mensual de Retención: R 80.0 mm/año comprendida para 0 < P < 250 mm
CUADRO N° 6.5: GENERACION DE CAUDALES MEDIOS MENSUALES PARA EL AÑO PROMEDIO
PRECIPITACION MENSUAL CONTRIBUCION DE LA RETENCION CAUDALES
N° P Efectiva Gasto Abastecimiento GENERADOS
MES días del Total PE II PE III PE bi Gi ai Ai
mes mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes m3/s
1 2 3 4 5 6 7 8 9 10 11 12
Enero 30 190.7 55.3 153.6 105.0 0.400 32.0 73.0 19.68
Febrero 28 184.0 53.3 152.7 103.6 0.200 16.0 87.6 25.28
Marzo 31 182.3 52.7 152.1 103.0 0.000 0.0 103.0 26.86
Abril 30 46.4 4.6 11.5 8.1 0.667 28.3 36.4 9.80
Mayo 31 12.9 1.4 3.2 2.3 0.445 18.9 21.2 5.53
Junio 30 4.6 0.5 1.1 0.8 0.297 12.6 13.4 3.62
Julio 31 3.8 0.4 0.9 0.7 0.198 8.4 9.1 2.36
Agosto 31 13.5 1.5 3.3 2.4 0.132 5.6 8.0 2.09
Setiem. 30 22.4 2.3 5.0 3.7 0.088 3.7 7.4 2.00
Octubre 31 41.3 4.0 9.6 6.8 0.059 2.5 9.3 2.44
Noviem. 30 50.6 5.2 13.3 9.3 0.050 4.0 5.3 1.42
Diciem. 31 98.4 17.1 54.5 36.0 0.350 28.0 8.0 2.09
AÑO 850.9 198.3 560.9 381.8 1.886 80.0 1.000 80.0 381.8 8.60
Coeficientes 0.45 0.494 0.506 1.000
Fuente: Elaboración propia
CUADRO N° 6.6: CALCULO DE LOS COEFICIENTES DE CORRELACION PARA EL AÑO PROMEDIO
Qt Qt-1 PE73.0 8.0 105.0
87.6 73.0 103.6 Resultado de la regresión103.0 87.6 103.0
36.4 103.0 8.1 Resumen21.2 36.4 2.3 Resumen13.4 21.2 0.8
9.1 13.4 0.7 Estadísticas de la regresión8.0 9.1 2.4 Coeficien 0.981567.4 8.0 3.7 Coeficien 0.963479.3 7.4 6.8 R^2 ajus 0.955355.3 9.3 9.3 Error típi 7.486198.0 5.3 36.0 Observac 12
Fuente: Elaboración propia
ANÁLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadradosF Valor crítico de F
Regresió 2 13303 6651.41 118.684 3.4E-07Residuos 9 504.388 56.0431Total 11 13807
CoeficientesError típicoEstadístico tProbabilidadInferior 95%Superior 95%Intercepc 0.4764 3.09964 0.1537 0.88124 -6.5355 7.48828Variable 0.35694 0.06892 5.17934 0.00058 0.20104 0.51284Variable 0.62808 0.05491 11.4391 1.2E-06 0.50388 0.75229
Cuencas con agotamiento rápido. Retención entre 50 y 80 mm/año y vegetación poco desarrollada (puna):
0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
f(x) = 0.00000000141338 x⁵ − 0.000000867403 x⁴ + 0.000174853 x³ − 0.0100743 x² + 0.37952 x − 0.417724
Figura 6.1: Porción de Precipitación Efectiva Según Bureao Of Reclama-tion
Curva I Curva IICurva III Polynomial (Curva III)
Precipitación Mensual (mm)
Pre
cip
ita
ció
n E
fec
tiv
a (
mm
)
D = P1
(0 . 9+P2
L2 )(12 )
(4 )L=300+25 (T )+0 . 05(T )3 (4a )
C =P−DP
(3 )
a =−0 .00252 (LnAR )+0 .030 (12.2)
Ajuste de Precipitación efectiva hasta obtener la escorentia historica anual (mm)
N = 73Ejemplo del método de Chow
mes PP (mm)Pe (mm)
Enero 190.7 111.1 36.78
Febrero 184.0 105.3 2.943Marzo 182.3 103.8 0.608Abril 46.4 6.3 3.168Mayo 12.9 0.4 3.715Junio 4.6 2.5 2.799Julio 3.8 2.8 4.602
Agosto 13.5 0.3 4.472Setiem. 22.4 0.1 12.76Octubre 41.3 4.3 6.486Noviem. 50.6 8.1 1.38Diciem. 98.4 36.5 0.231
381.5 79.94
Inferior 95.0%Superior 95.0%-6.53547378 7.488278870.20104162 0.512840560.50387607 0.7522916
PRECIPITACION EFECTIVA GENERADA EN CUENCA INTEGRAL
PERIODO: 1969 2008
DEPARTAMENTO:
PROVINCIA :
DISTRITO :
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.
1969 59.4 72 45.9 11 2.3 1.7 3.1 0.5 2.4 12.1 9.4 45.6 265.4
1970 106 85.4 101.2 2 0.1 2.1 1.7 2.5 10.9 6.7 4.8 23.9 347.3
1971 92.1 115.9 56.4 12.6 3.2 0.6 4.6 0.2 0.5 2.7 0.8 56.8 346.4
1972 246.5 161.2 178.7 2.7 2.7 4.1 0 1.9 3.9 13.9 10.7 12.9 639.2
1973 190.3 123.4 117.2 33.2 1 2.6 0.2 0.1 15.2 0.9 16.5 31.9 532.5
1974 209.3 217.9 116.5 46.1 1.9 1.1 1.9 41.8 19.1 1.2 5 31.9 693.7
1975 99.3 115.7 136.4 2.3 1.4 2.9 4.7 0.5 0.2 2.2 0.3 81.6 447.5
1976 110.3 84.6 116 2.9 0.2 0.1 2.8 0.2 68.5 3.7 1.1 11.7 402.1
1977 14.5 165.2 85.4 1.4 4.7 4.7 0.2 4.3 1.1 3.6 52.4 4.5 342.0
1978 133.8 22.3 25 1.7 0.4 0.3 3.4 3 0 7.1 34 56.5 287.5
1979 6.2 45.7 41.4 6.2 2.5 3.5 1.9 0.5 0.7 0.9 3.2 25.5 138.2
1980 27.2 9.8 113.8 1.2 2.4 4.3 2.2 3.8 3.2 50.5 13 7.4 238.8
1981 122.9 191.2 30 35 2.4 2.7 4.5 26 3.9 4.6 30.6 69.8 523.6
1982 55.2 48.3 48.8 1 4.6 0.9 4.7 1.7 4 34.7 14.5 2.6 221.0
1983 7.2 5.8 4.1 0.2 3.3 3.8 3.9 1.9 0.8 0.6 0.4 0.3 32.3
1984 73.9 65.1 53.9 5.4 1.4 2.3 2.5 0 1.5 2.2 3.8 20 232.0
1985 86.1 76.1 63.4 7.2 1.1 2.2 2.3 0.1 2.3 3.2 5.2 24.6 273.8
1986 61.3 108 73.1 17.2 0 4.7 1.3 0.4 2.7 0 1.5 47.7 317.9
1987 165.8 9.9 78.5 0 0.2 0.3 0.7 0.7 4 6.9 5.9 0.1 273.0
1988 176.1 36 49.8 35.7 0.8 4.7 0.1 2.4 0.7 1.5 7.7 36.5 352.0
1989 217.8 196.5 169 32.4 0 0.8 0.9 4.2 15.8 19.2 26.2 79.4 762.2
1990 104.8 93.2 78.2 10.2 0.9 1.9 2.1 0.3 3.7 4.9 7.6 31.8 339.6
1991 97.7 86.7 72.6 9 1 2 2.1 0.2 3.1 4.2 6.7 29 314.3
1992 108.7 96.7 81.3 10.8 0.8 1.9 2 0.4 4 5.3 8.2 33.3 353.4
1993 165 148.1 126.3 21.3 0.3 1.2 1.4 1.9 9.5 11.9 16.8 56.5 560.2
1994 105.2 93.5 78.5 10.2 0.9 3.6 2.1 0.3 1.3 0 6.1 31 332.7
1995 117.6 38.5 40.3 1.2 3 4.7 4.7 2.4 2.3 0.4 3.9 9.9 228.9
1996 105.1 219.7 77.6 61.8 4.7 4.1 2.5 3.3 2.2 5 7.7 31.9 525.6
1997 133.9 145.7 56.5 3.4 0.1 4.7 4.1 30 15.7 0 22.9 27.4 444.4
1998 160.2 35.7 55.6 1 4.7 4.7 4.7 4.7 4.7 1.3 0.1 97.3 374.7
1999 97.6 205.3 118.7 31.8 1.8 4.7 2.1 0.1 10.5 26.6 0.1 60.3 559.6
2000 190.1 186.4 151 9.3 0.9 0.1 2.1 0.1 0.8 6.3 3.6 42.2 592.9
2001 224.9 151.9 137.8 21.6 3.4 3.7 1 2.2 0.1 20.2 4.7 11.7 583.2
2002 75.6 119.6 104 15.2 1.8 2.4 26.5 0.1 1.5 32.9 28.9 39 447.5
2003 59.8 65.6 175.6 3.3 0.1 4.7 2.6 0.3 0.5 1.8 2.8 52.6 369.7
2004 51.7 138.7 53.2 7.7 4 0.1 2.3 0 3.3 0.4 5.8 19.6 286.8
2005 88.4 55.5 24.7 3.5 4.7 4.7 2.3 1.3 10.4 0.1 0.1 100.4 296.1
2006 121.9 136.5 144.1 12.3 4.7 4.7 4.7 0.1 2.8 25.5 60.7 22.7 540.7
2007 66.4 75 163.5 4 2.4 4.7 2.7 4.7 0.2 0.5 0.9 23.6 348.6
2008 141.2 155.7 30.3 2.1 4.3 0.4 4.7 3.1 4.7 3 0.1 15.4 365.0
MAX. 246.5 219.7 178.7 61.8 4.7 4.7 26.5 41.8 68.5 50.5 60.7 100.4 762.2
MED. 111.9 105.1 86.9 12.4 2.0 2.7 3.1 3.8 6.1 8.2 10.9 35.2 388.3
MIN. 6.2 5.8 4.1 0.0 0.0 0.1 0.0 0.0 0.0 0.0 0.1 0.1 32.3
D.EST 59.7 60.3 46.4 14.4 1.6 1.7 4.1 8.6 11.3 11.5 13.9 25.4 153.0
Fuente: Elaboración propia
CUADRO N° 6.8: NUMEROS ALEATORIOS GENERADOS CON DISTRIBUCION NORMAL CUADRO N° ##: NUMEROS ALEATORIOS ENTRE 0 Y 1 CON DISTRIBUCION UNIFORME
PERIODO: 1969 - 2008
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic.
1969 -0.190 -0.419 -0.581 0.704 -1.077 0.206 -0.898 -0.077 -1.303 -0.335 0.451 2.974 -0.1
1970 0.366 -0.998 -0.949 1.006 0.862 0.092 -0.541 2.364 1.470 -1.175 -0.688 0.464 -2.6
1971 -0.637 0.599 1.319 0.047 -1.391 -1.006 0.061 -0.116 -0.708 1.105 2.094 -0.277 0.8
1972 -0.322 1.013 0.735 -0.705 1.184 0.819 0.274 0.695 -0.661 0.345 0.424 -2.951 0.0
1973 -0.458 0.702 0.455 -0.356 -0.687 -0.214 1.276 -1.374 -1.674 -0.115 0.296 -0.926 -1.6
1974 0.295 -0.999 -0.333 0.279 -1.601 -1.142 0.016 0.506 0.632 1.514 -1.787 1.347 -0.2
1975 -1.803 0.530 -1.324 -0.795 0.554 -0.531 -0.012 0.264 -0.256 -2.566 -1.713 1.447 0.2
1976 -0.786 -0.689 0.652 -0.757 -1.295 -1.543 2.247 -0.605 0.422 -0.478 -1.210 2.347 0.3
1977 -0.493 1.256 -1.179 -1.019 -1.437 -0.883 2.694 0.337 -0.796 0.571 -2.433 -0.499 0.3
1978 -1.870 0.374 -1.517 -1.198 0.113 -0.541 -0.434 -0.062 1.111 0.446 -0.320 -0.247 -1.8
1979 1.178 -0.466 -0.363 -0.092 0.129 -1.303 1.226 0.202 0.584 1.080 -0.691 0.688 -0.3
1980 -0.702 1.456 1.793 0.134 0.526 -1.124 0.296 0.179 1.236 0.123 -1.467 -0.262 -0.9
1981 -1.870 0.263 0.001 -0.376 -0.102 0.876 1.093 -0.031 -1.268 -0.088 0.879 -1.837 0.7
1982 0.281 0.976 0.120 -1.097 0.830 -1.724 -0.067 1.425 0.424 0.451 0.401 -0.059 -0.8
1983 -0.480 0.502 -0.021 -0.055 -0.150 -0.103 -0.512 0.664 -0.049 0.596 -0.699 1.160 2.0
1984 -0.732 -1.785 0.760 -0.315 -0.658 -1.217 -1.485 -0.298 0.297 1.668 -2.015 -1.132 -1.3
1985 0.641 1.111 -0.244 0.089 0.326 1.625 -0.338 -0.899 1.986 0.081 0.023 1.289 0.2
1986 0.347 -0.989 0.089 2.219 0.054 -0.389 -1.909 0.097 0.736 -0.929 0.227 -0.957 -1.4
1987 1.693 0.770 -1.879 2.647 1.121 -0.464 0.257 0.973 0.804 -0.502 -0.003 -0.105 0.0
1988 0.581 0.706 2.032 0.957 -1.228 -1.252 0.536 1.705 1.419 0.036 -0.079 -1.098 -0.7
1989 -1.008 -2.395 -1.708 0.273 0.540 -0.285 0.075 0.696 -0.577 -0.610 0.103 0.069 1.2
1990 -1.690 -0.507 -1.119 -0.878 0.432 1.495 -0.409 -1.077 -0.357 -0.683 0.545 1.909 -0.1
1991 1.659 -2.059 0.427 -0.243 -0.660 0.004 0.586 0.966 0.475 2.124 -0.589 0.059 -0.5
1992 0.274 -1.221 -0.485 1.457 -0.257 0.073 -0.909 -0.614 0.718 0.931 1.089 0.514 -0.4
1993 0.126 -0.506 -0.114 -1.187 -0.184 0.118 -1.383 -0.648 0.847 0.793 -0.961 -1.590 -1.1
1994 -0.171 0.563 0.623 1.709 -0.012 -0.436 -0.409 0.303 0.526 -0.057 0.130 -0.316 -0.8
1995 -0.684 -0.638 0.732 -0.896 0.664 0.312 0.865 -0.283 -1.347 0.612 0.367 -0.301 0.8
1996 -0.275 1.768 -1.688 -0.823 -0.557 1.379 -0.614 -0.631 -1.487 -1.743 1.829 0.363 -0.2
1997 0.590 -1.010 -0.084 -0.565 -0.123 2.187 -0.942 1.609 -0.762 -0.269 0.086 -0.528 0.4
1998 -0.041 -0.233 -1.002 3.301 1.899 0.911 0.640 0.840 -0.938 1.823 0.033 -0.630 0.4
1999 -0.8 -0.941856 1.26986 -0.5511 -1.2077 -0.7842 -0.6969 1.506 -0.05948 -0.49345 -1.69092 1.861273 -0.78772
2000 2.4 1.269648 -0.07839 1.9498 -0.7626 -1.0903 1.1448 -0.4843 -0.41661 0.59158 -0.13347 0.556885 -0.16727
2001 0.5 -0.668934 -0.55902 0.7719 -0.8665 1.3832 -0.1504 -0.3424 2.01542 -1.79496 -1.49226 0.638436 -0.22303
2002 0.5 -0.274821 0.35822 0.7041 -0.0614 -1.115 0.1544 -0.9147 1.0831 -0.12119 1.04056 -1.819103 0.78785
2003 -0.5 0.037084 -1.35443 -0.1198 0.2551 -0.2494 -0.2867 1.9537 -1.07534 0.31864 -0.34879 -0.025517 -0.81554
2004 -1.7 0.056935 -1.40935 -1.3044 -0.0432 -0.9396 0.3779 0.859 -1.12376 2.02777 -0.08745 -2.210734 1.263897
2005 -0.8 -1.182835 0.7054 -1.2706 -0.806 1.3457 -1.0016 0.4062 1.04784 -1.03787 -0.57234 0.300836 -0.98755
2006 -0.8 0.316258 1.93135 0.1601 0.4726 0.4334 -0.1228 0.544 -2.14167 -1.88035 -0.62767 1.163293 -0.17804
2007 -0.2 -0.635759 1.0214 -0.1547 0.8248 0.2034 1.0301 -1.798 0.08906 -0.25571 0.35579 0.351924 -0.76163
2008 0.5 0.874766 0.08921 -1.071 -1.9709 1.153 0.9561 -0.4154 -0.6348 0.94972 -1.77413 -1.053827 -1.36851
MAX. 1.693 1.456 2.032 2.647 1.184 1.625 2.694 2.364 1.986 2.124 2.094 2.974
MED. -0.239 -0.105 -0.077 0.057 -0.126 -0.316 0.081 0.196 0.174 0.183 -0.282 0.063
MIN. -1.870 -2.395 -1.879 -1.198 -1.601 -1.724 -1.909 -1.374 -1.674 -2.566 -2.433 -2.951
D.EST 0.965 1.057 1.014 1.043 0.825 0.866 1.050 0.846 0.965 0.970 1.035 1.320
Fuente: Elaboración propia
CUADRO N° 6.9: DESCARGAS MEDIAS MENSUALES GENERADAS (mm) - CUENCA INTEGRAL
PERIODO: 1969 - 2008
DEPARTAMENTO: LATITUD :
PROVINCIA : LONGITUD :
DISTRITO : ALTITUD MEDIA :
Coeficientes de Regresión Múltiple: b1 0.4764 b2 0.35694 b3 0.62808
S 7.4862 R^2 0.98156
Modelo Matemático: Qt = b1 + b2*Qt-1 + b3*PEt + Z*S*(1 - R^2)^0.5
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.
Prom. 73.0 87.6 103.0 36.4 21.2 13.4 9.1 8.0 7.4 9.3 5.3 8.0 381.8
1969 40.5 181.5 28.7 8.1 0.8 1.8 1.5 0.7 0.7 7.7 6.8 32.1 311.0
1970 78.9 164.1 63.1 2.8 1.4 1.9 1.0 4.4 8.8 3.5 2.8 16.0 348.6
1971 63.4 198.3 37.2 8.4 1.1 -0.2 3.4 0.5 0.1 3.3 3.1 35.9 354.5
1972 167.8 229.3 113.5 1.5 3.4 3.9 0.8 2.4 2.3 9.6 7.6 5.6 547.4
1973 121.5 274.1 74.5 21.0 0.4 1.9 1.9 -0.9 8.3 0.9 11.1 19.6 534.4
1974 139.2 327.1 73.3 29.7 0.0 0.0 1.7 27.2 13.1 2.8 1.8 21.9 637.9
1975 68.8 301.4 84.8 1.1 1.9 1.8 3.4 1.1 0.3 -0.8 -1.1 53.2 516.0
1976 87.9 237.1 74.0 1.5 -0.7 -1.0 4.5 0.0 43.9 2.3 -0.1 10.2 459.7
1977 12.7 269.6 52.9 0.3 2.0 2.5 3.3 3.5 0.4 3.3 30.9 2.8 384.3
1978 83.6 152.0 14.6 0.3 0.8 0.1 2.2 2.3 1.6 5.4 21.5 35.7 320.3
1979 18.3 143.0 26.1 4.3 2.2 1.4 2.9 1.0 1.5 2.1 1.8 17.2 221.8
1980 23.0 87.3 73.8 1.4 2.5 2.0 2.2 3.0 3.7 32.3 7.2 4.9 243.2
1981 77.5 207.7 19.3 22.1 1.9 3.1 4.4 16.8 1.6 3.3 20.6 42.4 420.6
1982 50.6 181.9 31.2 0.0 4.2 -0.7 3.4 3.0 3.4 22.7 10.0 2.0 311.8
1983 5.2 115.9 3.0 0.5 2.4 2.8 2.4 2.3 0.9 1.5 0.0 1.8 138.9
1984 46.8 89.1 35.1 3.5 0.7 0.7 0.5 0.2 1.7 3.6 0.8 11.9 194.6
1985 59.4 118.9 40.0 5.1 1.5 3.5 1.6 -0.4 3.9 2.6 3.8 17.2 257.2
1986 45.5 159.1 46.5 13.5 0.5 3.0 -0.6 0.8 2.9 -0.5 1.6 29.5 301.9
1987 116.9 115.2 47.9 3.2 1.7 0.2 1.2 1.9 3.8 4.3 4.2 0.4 300.9
1988 111.8 131.2 33.8 23.9 -0.3 2.2 1.1 3.7 2.4 1.5 5.2 22.3 338.7
1989 144.2 242.4 104.9 21.1 1.0 0.7 1.1 3.8 9.8 11.9 17.0 50.4 608.4
1990 82.6 275.7 48.5 6.0 1.5 3.2 1.4 -0.4 2.4 2.9 5.8 22.4 451.8
1991 71.5 214.1 46.5 5.9 0.4 1.7 2.4 1.6 2.9 5.3 4.1 18.8 375.2
1992 75.7 193.9 51.0 8.7 0.7 1.7 0.8 0.1 3.7 4.8 6.7 21.9 369.9
1993 112.1 225.0 79.7 12.6 0.5 1.3 -0.1 1.0 7.3 8.8 10.1 34.3 492.7
1994 78.6 235.6 50.4 8.6 1.0 2.3 1.4 1.0 1.8 0.4 4.4 19.6 405.3
1995 80.6 168.7 26.5 0.3 3.0 3.7 4.3 1.7 0.6 1.3 3.3 6.4 300.5
1996 68.5 247.5 47.5 38.5 2.9 4.5 1.4 1.9 0.3 1.8 7.2 20.9 442.9
1997 92.6 249.0 35.9 2.0 0.4 5.7 2.1 21.0 9.6 0.2 14.9 17.1 450.6
1998 107.2 183.5 34.4 4.5 5.4 4.4 4.1 4.3 2.5 3.1 0.6 60.9 414.7
1999 82.8 276.5 76.3 19.9 0.4 2.6 1.1 2.1 7.0 16.7 -1.2 40.2 524.4
2000 136.7 306.0 95.2 8.3 0.3 -0.6 3.0 0.0 0.6 5.0 2.6 27.5 584.7
2001 152.1 303.9 86.5 14.8 1.7 4.2 1.0 1.5 2.6 11.3 1.9 8.5 590.0
2002 51.5 285.9 66.2 10.7 1.5 0.9 17.3 -0.4 2.5 21.0 19.7 23.1 499.9
2003 45.8 220.2 109.4 2.4 0.8 3.2 1.8 2.7 -0.3 1.9 1.9 33.5 423.2
2004 43.2 238.7 32.5 4.0 2.9 -0.4 2.3 1.3 1.4 2.8 4.0 10.5 343.3
2005 58.9 156.7 16.7 1.4 2.6 4.8 0.9 1.7 8.1 -0.5 0.0 63.8 315.1
2006 99.0 199.0 92.9 8.4 3.9 3.9 3.3 1.1 0.1 14.6 38.0 15.9 480.0
2007 47.7 218.3 104.2 2.8 2.8 3.6 3.2 1.6 0.7 0.5 1.4 15.7 402.5
2008 95.3 242.8 19.6 0.7 1.2 1.9 4.4 2.0 2.8 3.3 -1.3 9.1 381.9
MAX. 167.8 327.1 113.5 38.5 5.4 5.7 17.3 27.2 43.9 32.3 38.0 63.8 637.9
MED. 78.7 209.2 55.0 8.3 1.6 2.1 2.5 3.1 4.3 5.7 7.0 22.6 400.0
MIN. 5.2 87.3 3.0 0.0 -0.7 -1.0 -0.6 -0.9 -0.3 -0.8 -1.3 0.4 138.9
D.EST 38.6 62.5 29.2 9.1 1.3 1.7 2.7 5.6 7.2 7.1 8.8 16.0 117.1
Fuente: Elaboración propia
CUADRO N° 6.10: DESCARGAS MEDIAS MENSUALES GENERADAS (m3/s) - CUENCA INTEGRAL
PERIODO: 1969 - 1999
DEPARTAMENTO: LATITUD :
PROVINCIA : LONGITUD :
DISTRITO : ALTITUD MEDIA :
Area 698.4 Km2
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Prom.
30 28 31 30 31 30 31 31 30 31 30 31 (m3/s)
1969 10.90 52.41 7.49 2.18 0.22 0.47 0.39 0.19 0.18 2.02 1.84 8.38 7.222
1970 21.26 47.37 16.45 0.74 0.37 0.51 0.26 1.16 2.38 0.91 0.75 4.16 8.027
1971 17.08 57.25 9.71 2.27 0.28 -0.05 0.89 0.13 0.02 0.86 0.84 9.35 8.220
1972 45.21 66.20 29.59 0.39 0.88 1.05 0.20 0.62 0.61 2.49 2.06 1.45 12.561
1973 32.74 79.13 19.44 5.65 0.11 0.51 0.50 -0.22 2.24 0.24 3.00 5.10 12.370
1974 37.51 94.42 19.12 8.01 0.01 0.00 0.44 7.10 3.53 0.72 0.48 5.71 14.755
1975 18.54 87.00 22.11 0.30 0.50 0.47 0.89 0.28 0.09 -0.20 -0.29 13.87 11.965
1976 23.70 68.44 19.29 0.41 -0.19 -0.28 1.18 0.00 11.84 0.60 -0.02 2.66 10.637
1977 3.43 77.83 13.80 0.09 0.51 0.68 0.87 0.92 0.10 0.87 8.33 0.73 9.012
1978 22.53 43.89 3.82 0.09 0.22 0.03 0.57 0.60 0.43 1.41 5.79 9.31 7.390
1979 4.93 41.29 6.81 1.15 0.57 0.36 0.76 0.26 0.41 0.56 0.48 4.48 5.172
1980 6.19 25.20 19.24 0.37 0.66 0.55 0.56 0.79 1.01 8.43 1.93 1.27 5.515
1981 20.88 59.95 5.04 5.95 0.49 0.83 1.15 4.37 0.44 0.85 5.55 11.07 9.714
1982 13.63 52.53 8.15 0.00 1.10 -0.19 0.88 0.78 0.92 5.93 2.69 0.53 7.245
1983 1.41 33.47 0.79 0.15 0.62 0.74 0.63 0.61 0.25 0.38 0.00 0.48 3.295
1984 12.61 25.73 9.15 0.96 0.18 0.18 0.14 0.05 0.46 0.93 0.22 3.10 4.476
1985 16.02 34.32 10.44 1.37 0.39 0.95 0.41 -0.10 1.06 0.67 1.01 4.49 5.920
1986 12.26 45.93 12.12 3.65 0.14 0.82 -0.17 0.22 0.79 -0.12 0.44 7.68 6.979
1987 31.48 33.27 12.48 0.85 0.45 0.05 0.31 0.50 1.03 1.12 1.13 0.11 6.899
1988 30.13 37.88 8.82 6.43 -0.07 0.58 0.28 0.97 0.64 0.38 1.41 5.81 7.771
1989 38.85 69.97 27.35 5.69 0.27 0.19 0.29 1.00 2.64 3.11 4.59 13.15 13.924
1990 22.25 79.58 12.63 1.61 0.39 0.86 0.36 -0.11 0.66 0.75 1.56 5.84 10.531
1991 19.27 61.81 12.13 1.58 0.11 0.47 0.62 0.41 0.78 1.37 1.10 4.89 8.713
1992 20.40 55.97 13.31 2.36 0.19 0.47 0.21 0.03 1.00 1.24 1.81 5.71 8.559
1993 30.19 64.96 20.78 3.41 0.12 0.36 -0.01 0.26 1.97 2.28 2.71 8.96 11.333
1994 21.19 68.02 13.15 2.32 0.27 0.62 0.36 0.25 0.49 0.11 1.20 5.12 9.424
1995 21.73 48.69 6.92 0.09 0.79 1.01 1.12 0.44 0.15 0.35 0.89 1.67 6.987
1996 18.45 71.46 12.39 10.36 0.75 1.20 0.37 0.50 0.09 0.48 1.93 5.44 10.286
1997 24.96 71.90 9.36 0.55 0.11 1.52 0.55 5.46 2.58 0.05 4.03 4.47 10.461
1998 28.88 52.97 8.96 1.20 1.40 1.17 1.06 1.12 0.67 0.82 0.15 15.89 9.525
1999 22.30 79.82 19.90 5.36 0.10 0.71 0.28 0.54 1.89 4.35 -0.32 10.49 12.119
2000 36.84 88.35 24.83 2.24 0.07 -0.15 0.77 0.01 0.15 1.31 0.70 7.18 13.525
2001 40.97 87.74 22.54 4.00 0.45 1.13 0.25 0.39 0.70 2.96 0.52 2.21 13.654
2002 13.88 82.54 17.25 2.89 0.40 0.23 4.51 -0.10 0.68 5.48 5.30 6.03 11.591
2003 12.34 63.56 28.52 0.65 0.21 0.86 0.47 0.69 -0.08 0.50 0.51 8.73 9.747
2004 11.65 68.91 8.46 1.07 0.77 -0.11 0.60 0.35 0.38 0.73 1.09 2.75 8.054
2005 15.88 45.23 4.36 0.37 0.68 1.29 0.24 0.44 2.18 -0.13 -0.01 16.65 7.264
2006 26.68 57.45 24.24 2.25 1.02 1.04 0.86 0.28 0.02 3.80 10.23 4.15 11.002
2007 12.85 63.01 27.17 0.76 0.74 0.98 0.84 0.42 0.19 0.14 0.38 4.08 9.296
2008 25.68 70.11 5.11 0.19 0.31 0.51 1.15 0.52 0.75 0.87 -0.34 2.37 8.935
MAX. 45.21 94.42 29.59 10.36 1.40 1.52 4.51 7.10 11.84 8.43 10.23 16.65 14.76
MED. 21.192 60.389 14.330 2.249 0.414 0.566 0.651 0.803 1.157 1.490 1.892 5.889 9.252
MIN. 1.412 25.196 0.790 -0.003 -0.186 -0.277 -0.169 -0.224 -0.082 -0.196 -0.341 0.113 3.295
D.EST 10.404 18.035 7.602 2.451 0.337 0.450 0.709 1.472 1.937 1.841 2.361 4.179 2.699
Fuente: Elaboración propia
PRECIPITACION MEDIA AREAL EN CUENCA INTEGRAL MOLLEBAMBA
DEPARTAMENTO:
PROVINCIA :
DISTRITO :
n= 73
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.
1969 128.8 144.5 111.3 56.9 5.1 7.1 3.3 12.2 35.1 59.2 53.6 110.9 728.0
1970 184.8 160.8 179.2 33.6 22.4 5.9 6.9 4.8 56.6 47.5 42.6 79.6 824.7
1971 168.6 196.0 125.1 60.2 3.0 11.8 0.1 14.8 12.4 36.3 10.4 125.6 764.3
1972 337.9 246.5 265.5 36.3 4.2 1.1 17.5 6.3 40.0 62.6 56.3 60.6 1134.7
1973 278.1 204.6 197.6 93.7 9.4 4.5 15.0 21.6 65.0 28.6 67.3 91.8 1077.2
1974 298.4 307.6 196.8 111.6 6.3 29.3 6.3 105.7 71.8 29.9 43.0 91.8 1298.5
1975 177.0 195.8 219.2 34.6 31.1 3.8 0.0 12.5 23.6 34.2 23.8 156.1 911.6
1976 189.7 159.8 196.2 36.8 14.3 16.0 4.0 23.7 140.2 2.0 9.1 58.4 850.1
1977 63.7 250.9 160.8 31.2 0.0 0.0 14.4 0.8 29.6 39.1 119.9 41.8 752.1
1978 216.3 77.1 81.4 32.3 12.8 13.8 2.5 3.5 19.0 48.4 94.9 125.2 727.2
1979 46.3 111.0 105.3 46.3 4.6 2.3 6.4 25.7 10.8 28.2 37.8 82.0 506.9
1980 84.8 54.5 193.7 30.2 4.9 0.8 5.5 1.7 37.8 117.4 60.9 49.1 641.3
1981 204.0 279.0 88.9 96.3 5.0 4.2 0.3 82.9 39.9 42.1 89.8 141.9 1074.3
1982 123.5 114.4 115.1 28.9 0.2 28.5 0.0 32.2 40.1 95.9 63.6 35.8 678.3
1983 48.7 45.1 40.4 14.7 2.7 1.7 1.6 6.5 10.5 11.4 13.2 24.3 220.8
1984 146.8 136.0 121.8 44.2 8.1 5.1 4.7 19.5 31.5 34.3 39.7 73.3 665.2
1985 161.5 149.6 134.0 48.6 9.0 5.6 5.2 21.4 34.7 37.8 43.7 80.7 731.7
1986 131.3 187.1 146.0 68.4 18.5 0.0 8.3 25.4 36.2 17.5 31.6 113.7 783.9
1987 251.6 54.7 152.5 20.8 22.8 13.7 11.2 10.8 1.3 47.9 45.6 22.3 655.2
1988 262.7 97.6 116.5 97.3 28.0 0.0 16.4 4.9 27.0 31.6 49.8 98.4 830.2
1989 307.4 284.7 255.0 92.5 17.1 10.6 9.9 40.8 66.0 71.9 83.2 153.5 1392.6
1990 183.4 169.9 152.1 55.2 10.2 6.3 5.9 24.3 39.4 42.9 49.6 91.6 830.9
1991 175.2 162.2 145.3 52.7 9.7 6.1 5.6 23.2 37.6 41.0 47.4 87.5 793.4
1992 187.8 174.0 155.8 56.5 10.4 6.5 6.0 24.9 40.3 43.9 50.8 93.8 850.9
1993 250.6 232.1 207.8 75.4 13.9 8.7 8.0 33.3 53.8 58.6 67.8 125.1 1135.1
1994 183.9 170.3 152.5 55.3 10.2 2.2 5.9 24.4 30.3 20.8 46.0 90.4 792.2
1995 198.0 101.2 103.7 30.2 3.5 0.0 0.0 4.9 34.5 25.0 40.0 54.6 595.7
1996 183.8 309.5 151.4 131.9 0.0 1.1 4.6 38.3 34.4 43.0 49.8 91.8 1039.5
1997 216.4 229.4 125.2 38.5 21.6 0.0 1.1 88.9 65.8 17.6 78.1 85.0 967.5
1998 245.4 97.3 124.1 9.7 0.0 0.0 0.0 0.0 0.0 30.5 15.3 174.7 696.9
1999 175.0 294.1 199.3 91.7 6.7 0.0 5.9 15.5 55.8 83.8 15.5 130.0 1073.3
2000 277.9 273.9 235.3 53.4 10.2 15.5 5.9 22.1 10.3 46.4 38.9 106.3 1096.0
2001 315.0 236.3 220.7 76.0 38.4 1.9 29.2 34.2 21.8 73.6 42.2 58.4 1147.6
2002 148.9 200.2 182.4 65.0 6.5 5.0 83.7 16.3 31.4 93.2 87.2 101.8 1021.8
2003 129.4 136.7 262.2 38.1 15.5 0.0 4.4 24.1 26.0 32.6 36.5 120.2 825.7
2004 119.0 221.7 121.0 49.8 1.2 15.4 34.7 17.6 38.1 25.3 45.3 72.5 761.6
2005 164.3 124.0 80.8 38.7 0.0 0.0 5.1 8.4 55.6 22.1 15.4 178.4 692.7
2006 202.9 219.3 227.7 59.5 0.0 0.0 0.0 15.8 4.0 82.2 130.5 77.6 1019.4
2007 137.7 148.3 249.0 40.4 5.0 0.0 4.2 0.0 23.1 11.9 28.6 79.1 727.2
2008 224.5 240.5 89.5 34.1 0.8 12.8 0.0 3.2 0.0 37.0 16.1 65.3 723.8
MAX. 337.9 309.5 265.5 131.9 38.4 29.3 83.7 105.7 140.2 117.4 130.5 178.4 1392.6
MED. 188.3 180.0 159.7 54.2 9.8 6.2 8.7 22.4 35.8 43.9 49.5 92.5 851.0
MIN. 46.3 45.1 40.4 9.7 0.0 0.0 0.0 0.0 0.0 2.0 9.1 22.3 220.8
D.EST 70.6 72.1 56.2 27.3 9.2 7.3 14.2 23.1 25.2 25.1 28.2 37.6 223.9
CUADRO N° ##: NUMEROS ALEATORIOS ENTRE 0 Y 1 CON DISTRIBUCION UNIFORME
PERIODO: 1973 - 1999
Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.
1969 0.29 -0.46 -1.39 0.45 -1.18 1.04 -1.25 -1.66 -0.18 1.24 1.27 -1.17 1.19
1970 0.01 1.81 1.38 -0.51 -0.67 1.02 0.24 0.53 -0.77 -0.05 -0.25 0.97 -1.27
1971 -0.33 -0.45 0.93 1.64 -0.64 -0.50 2.12 -0.31 0.44 -1.51 0.66 1.68 -0.50
1972 0.21 0.50 0.10 -0.48 1.07 -0.09 0.46 -0.42 0.59 1.02 0.26 0.80 0.57
1973 0.41 -0.34 0.82 -0.37 -1.66 -0.08 1.03 0.70 -0.26 0.13 -0.78 0.66 1.54
1974 -1.48 1.85 -1.11 0.00 0.34 0.11 -0.30 -0.79 -1.12 0.07 0.40 1.45 -0.40
1975 -0.59 -1.74 1.37 -0.61 0.86 -0.36 -0.97 1.21 1.54 0.01 0.43 -0.81 0.59
1976 -0.29 0.06 -0.39 -0.84 2.04 0.18 -1.21 0.90 -1.13 0.72 -0.97 -0.92 -1.57
1977 -0.96 1.93 0.77 -0.31 2.29 0.21 -0.32 -0.23 0.57 0.03 -0.28 0.14 -0.06
1978 -0.68 -0.16 1.03 -0.30 0.05 -1.48 0.83 0.13 0.67 -1.55 -0.39 0.19 0.19
1979 -1.53 -1.36 0.93 -0.68 1.95 0.56 -0.11 -0.63 0.36 0.87 0.02 -1.78 0.28
1980 0.54 0.75 0.30 -1.04 -0.53 0.00 -0.43 0.14 0.11 0.67 0.51 -1.02 -0.72
1981 -2.04 -0.97 -0.33 -0.16 -0.15 -0.34 0.12 0.68 -2.04 0.01 -0.19 -2.43 1.36
1982 -0.05 1.42 0.95 0.19 0.84 1.05 -1.85 0.27 0.03 -0.11 0.49 -0.34 -0.87
1983 0.15 -0.13 1.83 0.15 -0.70 -1.33 -0.70 -0.66 -2.79 -1.52 -0.51 0.17 0.28
1984 -0.45 -0.40 0.74 1.15 0.80 -1.87 0.88 1.40 0.39 -1.06 0.77 -0.26 -0.40
1985 -0.31 0.01 -1.50 1.40 0.04 -0.89 -0.25 -0.16 0.64 -1.01 0.16 0.35 0.69
1986 -0.23 1.69 -1.04 -1.37 -0.20 -0.20 1.99 0.07 0.28 1.05 -1.30 -0.40 -0.16
1987 0.12 -0.12 0.49 1.96 0.74 -0.82 1.60 1.10 -0.78 1.19 -1.66 -0.37 0.51
1988 -0.09 1.88 -1.28 -0.52 -0.70 0.14 0.41 0.88 0.87 1.68 -0.19 1.51 0.11
1989 -0.22 -0.13 -0.46 -0.93 0.26 0.34 0.08 -1.00 -0.21 1.33 2.07 -0.31 -1.15
1990 0.63 -0.17 -1.05 -2.50 1.28 0.70 -1.11 -0.56 -0.71 1.17 -1.54 0.05 1.31
1991 1.68 0.14 0.46 -1.59 0.20 -0.23 -0.19 -0.22 1.39 0.21 1.36 0.43 -0.03
1992 0.10 1.37 0.79 -0.55 0.55 -0.79 0.14 -0.17 -0.12 -0.45 0.44 -0.91 -2.06
1993 -2.00 0.57 -0.80 1.36 0.24 0.59 0.85 1.06 0.55 0.68 -0.17 0.18 0.00
1994 -1.02 -0.77 1.01 -1.23 -0.50 -0.06 0.95 -0.58 -0.13 0.64 -1.14 0.71 -0.09
1995 -1.37 -1.59 -1.17 0.01 -0.79 1.94 0.44 -0.99 -0.36 2.07 -1.05 0.83 -0.30
1996 -0.91 -0.07 0.55 -0.79 0.24 0.15 0.73 -1.43 -0.25 -0.45 0.62 0.20 0.17
1997 -0.04 0.51 2.29 0.10 0.47 -0.61 0.46 0.42 -1.07 0.41 0.85 -0.09 -0.23
1998 0.68 -0.40 0.83 0.29 -1.70 -0.15 0.59 0.41 -0.99 0.15 -2.41 -1.21 -1.26
1999 -0.35 1.26 -1.01 -0.84 1.68 0.78 -0.18 0.62 0.84 -0.04 -1.08 0.57 1.17
-0.35 1.92 0.04 -0.14 1.03 -0.43 1.13 -0.83 -0.99 -0.59 -1.73 1.46 -0.37
0.60 -1.42 -0.33 -1.41 -1.02 0.62 -1.16 -0.79 0.00 0.04 -0.47 0.73 -1.32
1.97 -0.35 1.29 -0.55 0.72 -0.09 -0.14 -0.59 0.47 -0.81 -0.78 -0.17 -0.87
-1.00 0.80 -0.32 -0.36 -1.64 -2.15 -0.42 -0.83 -0.05 -0.08 0.68 0.07 1.14
0.25 0.62 0.40 -0.38 -0.07 -0.41 -0.02 -0.24 0.23 -0.06 0.34 -1.92 0.60
0.81 0.83 -0.76 -2.14 1.36 -0.20 -0.13 -0.06 -0.78 -0.07 0.91 -1.24 0.28
0.14 0.72 0.51 -0.27 2.93 -1.21 -0.15 -1.46 -1.26 -1.41 -2.27 -3.48 -0.45
-1.41 -0.18 1.00 1.27 -1.83 0.26 -2.30 0.04 -0.36 -0.53 -1.55 0.25 1.74
-0.01 -1.65 -0.22 1.04 1.46 -0.60 1.12 0.33 1.60 0.95 -0.01 1.67 0.28
MAX. 1.6787 1.9311 1.8324 1.9596 2.2860 1.9428 2.1227 1.3988 1.5381 2.0657 2.0730 1.6777 1.545
MED. -0.3521 0.1922 0.1252 -0.2098 0.2161 -0.0432 0.1288 0.0262 -0.0805 0.2778 -0.0581 -0.0237 0.199
MIN. -2.0411 -1.7356 -1.5032 -2.4974 -1.6552 -1.8720 -1.8487 -1.6580 -2.7858 -1.5510 -1.6562 -2.4291 -2.064
D.EST 0.8429 1.0835 1.0021 1.0346 0.9825 0.8435 0.9801 0.7827 0.9558 0.9856 0.9035 0.9853 0.890
Set. Oct. Nov. Dic. Ene. Feb. Mar. Abr. May. Jun. Jul. Ago.
69-70 0.18 2.02 1.84 8.38 21.26 47.37 16.45 0.74 0.37 0.51 0.26 1.16
2.38 0.91 0.75 4.16 17.08 57.25 9.71 2.27 0.28 -0.05 0.89 0.13
0.02 0.86 0.84 9.35 45.21 66.20 29.59 0.39 0.88 1.05 0.20 0.62
0.61 2.49 2.06 1.45 32.74 79.13 19.44 5.65 0.11 0.51 0.50 -0.22
2.24 0.24 3.00 5.10 37.51 94.42 19.12 8.01 0.01 0.00 0.44 7.10
3.53 0.72 0.48 5.71 18.54 87.00 22.11 0.30 0.50 0.47 0.89 0.28
0.09 -0.20 -0.29 13.87 23.70 68.44 19.29 0.41 -0.19 -0.28 1.18 0.00
11.84 0.60 -0.02 2.66 3.43 77.83 13.80 0.09 0.51 0.68 0.87 0.92
0.10 0.87 8.33 0.73 22.53 43.89 3.82 0.09 0.22 0.03 0.57 0.60
0.43 1.41 5.79 9.31 4.93 41.29 6.81 1.15 0.57 0.36 0.76 0.26
0.41 0.56 0.48 4.48 6.19 25.20 19.24 0.37 0.66 0.55 0.56 0.79
1.01 8.43 1.93 1.27 20.88 59.95 5.04 5.95 0.49 0.83 1.15 4.37
0.44 0.85 5.55 11.07 13.63 52.53 8.15 0.00 1.10 -0.19 0.88 0.78
0.92 5.93 2.69 0.53 1.41 33.47 0.79 0.15 0.62 0.74 0.63 0.61
0.25 0.38 0.00 0.48 12.61 25.73 9.15 0.96 0.18 0.18 0.14 0.05
0.46 0.93 0.22 3.10 16.02 34.32 10.44 1.37 0.39 0.95 0.41 -0.10
1.06 0.67 1.01 4.49 12.26 45.93 12.12 3.65 0.14 0.82 -0.17 0.22
0.79 -0.12 0.44 7.68 31.48 33.27 12.48 0.85 0.45 0.05 0.31 0.50
1.03 1.12 1.13 0.11 30.13 37.88 8.82 6.43 -0.07 0.58 0.28 0.97
0.64 0.38 1.41 5.81 38.85 69.97 27.35 5.69 0.27 0.19 0.29 1.00
2.64 3.11 4.59 13.15 22.25 79.58 12.63 1.61 0.39 0.86 0.36 -0.11
0.66 0.75 1.56 5.84 19.27 61.81 12.13 1.58 0.11 0.47 0.62 0.41
0.78 1.37 1.10 4.89 20.40 55.97 13.31 2.36 0.19 0.47 0.21 0.03
1.00 1.24 1.81 5.71 30.19 64.96 20.78 3.41 0.12 0.36 -0.01 0.26
1.97 2.28 2.71 8.96 21.19 68.02 13.15 2.32 0.27 0.62 0.36 0.25
0.49 0.11 1.20 5.12 21.73 48.69 6.92 0.09 0.79 1.01 1.12 0.44
0.15 0.35 0.89 1.67 18.45 71.46 12.39 10.36 0.75 1.20 0.37 0.50
0.09 0.48 1.93 5.44 24.96 71.90 9.36 0.55 0.11 1.52 0.55 5.46
2.58 0.05 4.03 4.47 28.88 52.97 8.96 1.20 1.40 1.17 1.06 1.12
0.67 0.82 0.15 15.89 22.30 79.82 19.90 5.36 0.10 0.71 0.28 0.54
1.89 4.35 -0.32 10.49 36.84 88.35 24.83 2.24 0.07 -0.15 0.77 0.01
0.15 1.31 0.70 7.18 40.97 87.74 22.54 4.00 0.45 1.13 0.25 0.39
0.70 2.96 0.52 2.21 13.88 82.54 17.25 2.89 0.40 0.23 4.51 -0.10
0.68 5.48 5.30 6.03 12.34 63.56 28.52 0.65 0.21 0.86 0.47 0.69
-0.08 0.50 0.51 8.73 11.65 68.91 8.46 1.07 0.77 -0.11 0.60 0.35
0.38 0.73 1.09 2.75 15.88 45.23 4.36 0.37 0.68 1.29 0.24 0.44
2.18 -0.13 -0.01 16.65 26.68 57.45 24.24 2.25 1.02 1.04 0.86 0.28
0.02 3.80 10.23 4.15 12.85 63.01 27.17 0.76 0.74 0.98 0.84 0.42
2007-08 0.19 0.14 0.38 4.08 25.68 70.11 5.11 0.19 0.31 0.51 1.15 0.52
0.45
GENERACION DE DESCARGAS EN CUENCA TOTAL MOLLEBAMBA
METODO PROPUESTO POR LA MISION TECNICA ALEMANA - 1980
Cuadro N° 6.1: Precipitación Efectivasegún el Bureao of Reclamation
P P. Efectiva: PE (mm)mm Curva I Curva II Curva III
0.0 0.0 0.0 0.0
10.0 0.0 1.0 2.0
20.0 0.0 2.0 4.0
30.0 0.0 3.0 6.0
40.0 0.5 4.0 8.0
50.0 1.0 6.0 11.0
60.0 1.5 8.0 14.0
70.0 3.0 10.0 18.0
80.0 4.0 14.0 24.0
90.0 5.5 18.0 30.0
100.0 8.0 23.0 39.0
110.0 11.0 29.0 48.0
120.0 15.0 36.0 58.0
130.0 19.0 43.0 68.0
140.0 24.0 52.0 78.0
150.0 30.0 60.0 88.0
160.0 37.0 69.0 98.0
170.0 45.0 79.0 108.0
180.0 55.0 89.0 118.0
Cuadro N° 6.2: Cálculo del Coeficiente de Escorrentía
Método de la Misión Alemana Método de L - Turc
Precipitación Media Anual: P 850.9 mm Temperatura Media Anual: TEvaporación Total Anual: ETP 1222 mm Coeficiente de Temperatura: L
Déficit de Escurrimiento: DCoeficiente de Escorrentía: C 0.28 Coeficiente de Escorrentía: C
Cuadro N° 6.4: Coeficientes deCuadro N° 6.3: Características Generales de la Microcuenca Cálculo - Precipitación Efectiva
Area de la cuenca: A 698.4 Km2 Coef. Curva I
Altitud Media de la Microcuenca: H 3500 msnm -0.018Pendiente Media de la Microcuenca 0.95 m/m -0.0185
Precipitación Media Anual: P 850.9 mm 0.001105Evaporación Total Anual: ETP 1222 mm -1.20E-05Temperatura Media Anual: T 8.7 °C 1.44E-07Déficit de Escurrimiento: D 469.1 mm/año -2.85E-10Coeficiente de Escorrentía: C 0.45 0.15
Coeficiente de Agotamiento: a 0.0135 El rango de aplicación de los
a0
a1
a2
a3
a4
a5
0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
Figura 6.1: Porción de Precipitación Efectiva Según Bureao Of Reclamation
Curva I Curva II Curva III
Precipitación Mensual (mm)
Pre
cip
ita
ció
n E
fec
tiv
a (
mm
)
Relación de Caudales (30 días): bo 0.667 coeficientes de la ecuación Area de lagunas y acuíferos 5 Km2 Polinómica de la PE estáGasto Mensual de Retención: R 80.0 mm/año comprendida para 0 < P < 250 mm
CUADRO N° 6.5: GENERACION DE CAUDALES MEDIOS MENSUALES PARA EL AÑO PROMEDIO
PRECIPITACION MENSUAL CONTRIBUCION DE LA RETENCION
N° P Efectiva Gasto Abastecimiento
MES días del Total PE II PE III PE bi Gi ai Ai
mes mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes
1 2 3 4 5 6 7 8 9 10
Enero 30 190.7 104.1 93.0 89.8 0.400 32.0
Febrero 28 184.0 97.6 99.2 99.6 0.200 16.0
Marzo 31 182.3 95.9 100.2 101.5 0.000 0.0
Abril 30 46.4 5.2 9.7 11.0 0.667 28.3
Mayo 31 12.9 1.4 3.0 3.4 0.445 18.9
Junio 30 4.6 0.6 1.2 1.3 0.297 12.6
Julio 31 3.8 0.5 1.0 1.1 0.198 8.4
Agosto 31 13.5 1.5 3.1 3.6 0.132 5.6
Setiem. 30 22.4 2.3 4.7 5.4 0.088 3.7
Octubre 31 41.3 4.5 8.4 9.6 0.059 2.5
Noviem. 30 50.6 6.0 10.9 12.4 0.050 4.0
Diciem. 31 98.4 23.4 38.6 43.0 0.350 28.0
AÑO 850.9 342.9 373.0 381.8 1.886 80.0 1.000 80.0
Coeficientes 0.45 -0.292 1.292 1.000
Fuente: Elaboración propia
CUADRO N° 6.6: CALCULO DE LOS COEFICIENTES DE CORRELACION PARA EL AÑO PROMEDIO
Qt Qt-1 PE57.8 15.0 89.8
83.6 57.8 99.6 Resultado de la regresión101.5 83.6 101.5
39.3 101.5 11.0 Resumen22.3 39.3 3.4 Resumen13.9 22.3 1.3
9.5 13.9 1.1 Estadísticas de la regresión9.2 9.5 3.6 Coeficien 0.981569.2 9.2 5.4 Coeficien 0.96347
12.1 9.2 9.6 R^2 ajus 0.955358.4 12.1 12.4 Error típi 7.48619
15.0 8.4 43.0 Observac 12Fuente: Elaboración propia
ANÁLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadradosF
Regresió 2 13303 6651.41 118.68386877Residuos 9 504.388 56.0431Total 11 13807
CoeficientesError típicoEstadístico tProbabilidadIntercepc 0.4764 3.09964 0.1537 0.8812404984
Variable 0.35694 0.06892 5.17934 0.0005798597Variable 0.62808 0.05491 11.4391 1.15641E-06
8.7 °C
550.4
469.1 mm/año
0.45
Cuencas con agotamiento rápido. Retención entre 50 y 80 mm/año y vegetación poco desarrollada (puna):
Cuadro N° 6.4: Coeficientes deCálculo - Precipitación Efectiva
Curva II Curva III
-0.021 -0.0280.1358 0.2756
-0.002296 -0.0041034.35E-05 5.53E-05
-8.90E-08 1.24E-07-8.79E-11 -1.42E-09
0.30 0.45
El rango de aplicación de los
En este caso II y III
0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
Figura 6.1: Porción de Precipitación Efectiva Según Bureao Of Reclamation
Curva I Curva II Curva III
Precipitación Mensual (mm)
Pre
cip
ita
ció
n E
fec
tiv
a (
mm
)
D = P1
(0 . 9+P2
L2 )(12 )
(4 )L=300+25 (T )+0 . 05(T )3 (4a )
C =P−DP
(3 )
a =−0 .00252 (LnAR )+0 .030 (12.2)
coeficientes de la ecuación Polinómica de la PE estácomprendida para 0 < P < 250 mm
CAUDALES
GENERADOS Ajuste de Precipitación efectiva hasta obtener la escorentia historica anual (mm)
N = 73mm/mes m3/s Ejemplo del método de Chow
11 12 mes PP (mm)Pe (mm)
57.8 15.57 Enero 190.7 111.1
83.6 24.14 Febrero 184.0 105.3
101.5 26.46 Marzo 182.3 103.8
39.3 10.60 Abril 46.4 6.3
22.3 5.81 Mayo 12.9 0.4
13.9 3.75 Junio 4.6 2.5
9.5 2.48 Julio 3.8 2.8
9.2 2.39 Agosto 13.5 0.3
9.2 2.47 Setiem. 22.4 0.1
12.1 3.15 Octubre 41.3 4.3
8.4 2.26 Noviem. 50.6 8.1
15.0 3.92 Diciem. 98.4 36.5
381.5
381.8 8.58
CuencaCaudal promedio mensual en Mollebamba
SET OCT NOV DICPE (mm) 3.7 6.8 9.3 36.0LE (mm) 7.4 9.3 5.3 8.0
2.0 2.4 1.4 2.1CUADRO N° 6.6: CALCULO DE LOS COEFICIENTES DE CORRELACION PARA EL AÑO PROMEDIO
QavenidasQestiaje
Valor crítico de F3.4038E-07
Inferior 95% Superior 95%Inferior 95.0%Superior 95.0%-6.53547378 7.48827887 -6.53547378 7.48827887
Caudal (m3/s)
0.201041621 0.51284056 0.20104162 0.512840560.503876073 0.7522916 0.50387607 0.7522916
Ajuste de Precipitación efectiva hasta obtener la escorentia historica anual (mm)
Caudal promedio mensual en MollebambaANUAL
ENE FEB MAR ABR MAY JUN JUL AGO105.0 103.6 103.0 8.1 2.3 0.8 0.7 2.4 381.873.0 87.6 103.0 36.4 21.2 13.4 9.1 8.0 381.8
19.7 25.3 26.9 9.8 5.5 3.6 2.4 2.1 8.6
18.54.0 4.648
Porcion de la precipitaciónAprove por las Planta( mm ) Déficito Escurri (mm)I II III IV V VI VII I II III IV V VI VII
25.4 25.4 22.9 20.4 17.9 15.4 12.9 10.4 0 2.5 5 7.5 10 12.5 1550.8 49.5 44.5 38.1 28 17.9 15.4 10.4 1.3 6.3 12.7 22.8 32.9 35.4 40.476.2 72.4 63.5 49.5 30.5 20.4 15.4 10.4 3.8 12.7 26.7 45.7 55.8 60.8 65.8
101.6 92.7 76.2 54.6 33 20.4 15.4 10.4 8.9 25.4 47 68.6 81.2 86.2 91.2127 107.9 83.8 57.1 33 20.4 15.4 10.4 19.1 43.2 69.9 94 106.6 111.6 116.6
152.4 118.1 86.4 57.1 33 20.4 15.4 10.4 34.3 66 95.3 119.4 132 137 142177.8 120.6 86.4 57.1 33 20.4 15.4 10.4 57.2 91.4 120.7 144.8 157.4 162.4 167.4
C 0.15 0.3 0.45 0.6 0.75 0.9 1
25.4 50.8 76.2 101.6 127 152.4 177.80
20
40
60
80
100
120
140
160
180Chart Title
Column IColumn JColumn KColumn LColumn MColumn N
25.4 50.8 76.2 101.6 127 152.4 177.80
20
40
60
80
100
120
140
160
180Chart Title
Column IColumn JColumn KColumn LColumn MColumn N