PRECIPITACIÓN MAXIMA MENSUAL 24hrs [mm]

Inicio : 1982
Longitud : 74 43 5.13
Elevacion : 3303 msnm

Año ENE FEB MAR ABR MAY JUN

1982 17.4 40.1 16.0 24.0 10.2 2.2
1983 - 13.1 18.5 17.4 9.2 -
1984 18.6 23.4 10.9 18.7 14.4 14.0
1985 11.4 19.4 20.2 16.7 7.8 7.2
1986 21.2 13.6 23.5 25.2 16.8 0.0
1987 11.1 14.5 16.4 25.4 35.2 7.1
1988 13.9 30.8 18.5 13.5 2.4 2.3
1989 16.8 18.5 19.2 18.8 9.3 4.6
1990 17.4 5.5 23.1 9.2 9.1 20.2
1991 18.2 25.7 30.4 8.5 12.0 23.3
1992 16.7 16.4 11.5 22.9 0.0 7.2
1993 39.0 24.4 13.0 18.4 11.0 4.5
1994 31.7 38.0 36.3 16.0 12.8 4.6
1995 20.5 37.1 14.6 8.0 10.8 0.0
1996 27.5 24.5 21.2 19.8 8.4 0.0
1997 32.5 26.5 10.5 19.8 5.9 1.9
1998 36.2 19.7 19.2 17.5 0.0 6.1
1999 13.4 15.0 13.8 20.0 16.3 6.4
2000 18.1 26.6 15.9 5.0 12.6 13.5
2001 29.2 19.0 16.3 17.4 15.0 2.5
2002 26.5 41.2 28.7 19.0 18.4 5.1
2003 20.2 27.4 18.3 10.0 14.5 0.4
2004 19.3 26.0 13.5 6.7 9.3 10.6
2005 13.1 22.1 21.3 13.8 14.6 1.4
2006 20.2 21.3 18.6 8.1 1.2 2.4
2007 19.3 11.2 29.7 10.3 10.4 0.0
2008 48.0 23.4 9.6 9.6 6.5 6.0
2009 22.0 23.1 14.9 15.2 6.3 2.1
2010 25.7 16.0 19.7 9.7 12.7 4.8
2011 21.1 35.5 28.5 14.5 7.9 2.4
2012 14.2 46.3 17.2 19.3 9.0 9.9
2013 15.4 15.5 21.1 7.1 14.2 2.9
2014 21.7 21.3 13.3 21.9 8.7 7.0
2015 20.3 16.9 24.2 12.6 10.9 2.4
 ESTACION LIRCAY
Final : 2015
Latitud : 12 58 53.25

JUL AGO SET OCT NOV DIC Max_D24hrs

0.0 14.8 21.2 19.7 13.8 - 40.1
3.8 2.8 25.2 14.0 3.8 17.3 25.2
0.0 9.9 12.1 21.1 13.6 14.4 23.4
7.4 0.0 14.6 6.8 6.4 18.9 20.2
14.8 10.2 24.8 9.4 12.4 34.8 34.8
4.1 4.0 0.4 11.8 16.1 21.8 35.2
0.0 0.0 0.0 24.0 15.7 20.2 30.8
2.6 7.4 8.0 14.4 9.5 10.0 19.2
5.7 14.9 6.4 13.8 - 22.7 23.1
7.7 2.7 6.0 16.1 12.2 13.5 30.4
6.8 8.1 11.6 16.2 6.7 12.5 22.9
8.3 7.8 10.3 19.9 49.7 23.0 49.7
0.5 0.0 6.4 16.9 13.3 12.5 38
3.4 7.0 8.2 12.6 13.7 12.5 37.1
0.0 8.9 7.2 9.8 12.0 11.0 27.5
0.0 9.0 20.7 7.9 16.1 33.3 33.3
0.0 2.5 8.9 17.4 20.6 16.0 36.2
18.1 0.0 5.6 12.5 10.2 14.9 20
16.2 8.8 6.7 21.4 7.6 20.0 26.6
5.2 6.6 17.2 10.1 12.4 29.9 29.9
15.1 5.7 11.1 22.1 19.6 28.0 41.2
3.2 8.2 8.8 9.2 19.3 21.7 27.4
8.0 4.5 8.7 6.2 9.9 17.1 26
13.6 2.7 13.2 19.6 6.4 17.7 22.1
1.9 8.7 6.1 9.6 13.4 20.0 21.3
17.9 1.2 5.6 9.3 9.1 18.4 29.7
3.5 1.7 4.9 8.3 3.6 14.0 48
13.6 2.5 7.8 14.0 33.6 24.5 33.6
0.0 1.2 4.8 7.0 9.9 - 25.7
8.3 5.2 11.2 9.4 10.9 16.4 35.5
2.9 1.4 13.8 15.0 13.0 31.3 46.3
3.1 9.5 3.6 12.2 6.2 17.5 21.1
4.5 14.0 11.8 28.4 6.0 12.1 28.4
3.8 10.0 3.4 29.8 6.3 12.7 29.8
 Completación y Extensión de Datos Hidrometeo

Año ENE FEB MAR ABR MAY

101 1982 1740 4010 1600 2400 1020
101 1983 2063 1310 1850 1740 920
101 1984 1860 2340 1090 1870 1440
101 1985 1140 1940 2020 1670 780
101 1986 2120 1360 2350 2520 1680
101 1987 1110 1450 1640 2540 3520
101 1988 1390 3080 1850 1350 240
101 1989 1680 1850 1920 1880 930
101 1990 1740 550 2310 920 910
101 1991 1820 2570 3040 850 1200
101 1992 1670 1640 1150 2290 0
101 1993 3900 2440 1300 1840 1100
101 1994 3170 3800 3630 1600 1280
101 1995 2050 3710 1460 800 1080
101 1996 2750 2450 2120 1980 840
101 1997 3250 2650 1050 1980 590
101 1998 3620 1970 1920 1750 0
101 1999 1340 1500 1380 2000 1630
101 2000 1810 2660 1590 500 1260
101 2001 2920 1900 1630 1740 1500
101 2002 2650 4120 2870 1900 1840
101 2003 2020 2740 1830 1000 1450
101 2004 1930 2600 1350 670 930
101 2005 1310 2210 2130 1380 1460
101 2006 2020 2130 1860 810 120
101 2007 1930 1120 2970 1030 1040
101 2008 4800 2340 960 960 650
101 2009 2200 2310 1490 1520 630
101 2010 2570 1600 1970 970 1270
101 2011 2110 3550 2850 1450 790
101 2012 1420 4630 1720 1930 900
101 2013 1540 1550 2110 710 1420
101 2014 2170 2130 1330 2190 870
101 2015 2030 1690 2420 1260 1090
101 2016 1791 2286 1977 1998 1786
101 2017 2834 2804 1997 1616 1432
101 2018 1821 2899 1697 1303 1041
101 2019 2063 2602 1553 1427 952
101 2020 2376 2011 1720 1158 1066
101 2021 2035 2532 1969 1708 516
101 2022 1853 2936 1731 1916 1113
Extensión de Datos Hidrometeorológicos con HEC-4

JUN JUL AGO SET OCT NOV DIC TOTAL

220 0 1480 2120 1970 1380 1855 19795
231 380 280 2520 1400 380 1730 14804
1400 0 990 1210 2110 1360 1440 17110
720 740 0 1460 680 640 1890 13680
0 1480 1020 2480 940 1240 3480 20670
710 410 400 40 1180 1610 2180 16790
230 0 0 0 2400 1570 2020 14130
460 260 740 800 1440 950 1000 13910
2020 570 1490 640 1380 836 2270 15636
2330 770 270 600 1610 1220 1350 17630
720 680 810 1160 1620 670 1250 13660
450 830 780 1030 1990 4970 2300 22930
460 50 0 640 1690 1330 1250 18900
0 340 700 820 1260 1370 1250 14840
0 0 890 720 980 1200 1100 15030
190 0 900 2070 790 1610 3330 18410
610 0 250 890 1740 2060 1600 16410
640 1810 0 560 1250 1020 1490 14620
1350 1620 880 670 2140 760 2000 17240
250 520 660 1720 1010 1240 2990 18080
510 1510 570 1110 2210 1960 2800 24050
40 320 820 880 920 1930 2170 16120
1060 800 450 870 620 990 1710 13980
140 1360 270 1320 1960 640 1770 15950
240 190 870 610 960 1340 2000 13150
0 1790 120 560 930 910 1840 14240
600 350 170 490 830 360 1400 13910
210 1360 250 780 1400 3360 2450 17960
480 0 120 480 700 990 2168 13318
240 830 520 1120 940 1090 1640 17130
990 290 140 1380 1500 1300 3130 19330
290 310 950 360 1220 620 1750 12830
700 450 1400 1180 2840 600 1210 17070
240 380 1000 340 2980 630 1270 15330
312 153 542 1223 956 1073 1657 15754
278 135 664 1150 1247 811 1366 16334
376 245 369 1173 1104 1236 1453 14717
600 284 522 1017 1176 1177 1888 15261
187 71 939 1426 1242 801 1503 14500
581 73 136 1062 1238 1042 1392 14284
166 1736 836 999 1522 724 1603 17135
 PRECIPITACIÓN MAXIMA MENSUAL 24hrs [mm]
Inicio : 1982
Longitud : 74 43 5.13
Elevacion : 3303 msnm

Año ENE FEB MAR ABR MAY JUN

1982 17.40 40.10 16.00 24.00 10.20 2.20
1983 20.63 13.10 18.50 17.40 9.20 2.31
1984 18.60 23.40 10.90 18.70 14.40 14.00
1985 11.40 19.40 20.20 16.70 7.80 7.20
1986 21.20 13.60 23.50 25.20 16.80 0.00
1987 11.10 14.50 16.40 25.40 35.20 7.10
1988 13.90 30.80 18.50 13.50 2.40 2.30
1989 16.80 18.50 19.20 18.80 9.30 4.60
1990 17.40 5.50 23.10 9.20 9.10 20.20
1991 18.20 25.70 30.40 8.50 12.00 23.30
1992 16.70 16.40 11.50 22.90 0.00 7.20
1993 39.00 24.40 13.00 18.40 11.00 4.50
1994 31.70 38.00 36.30 16.00 12.80 4.60
1995 20.50 37.10 14.60 8.00 10.80 0.00
1996 27.50 24.50 21.20 19.80 8.40 0.00
1997 32.50 26.50 10.50 19.80 5.90 1.90
1998 36.20 19.70 19.20 17.50 0.00 6.10
1999 13.40 15.00 13.80 20.00 16.30 6.40
2000 18.10 26.60 15.90 5.00 12.60 13.50
2001 29.20 19.00 16.30 17.40 15.00 2.50
2002 26.50 41.20 28.70 19.00 18.40 5.10
2003 20.20 27.40 18.30 10.00 14.50 0.40
2004 19.30 26.00 13.50 6.70 9.30 10.60
2005 13.10 22.10 21.30 13.80 14.60 1.40
2006 20.20 21.30 18.60 8.10 1.20 2.40
2007 19.30 11.20 29.70 10.30 10.40 0.00
2008 48.00 23.40 9.60 9.60 6.50 6.00
2009 22.00 23.10 14.90 15.20 6.30 2.10
2010 25.70 16.00 19.70 9.70 12.70 4.80
2011 21.10 35.50 28.50 14.50 7.90 2.40
2012 14.20 46.30 17.20 19.30 9.00 9.90
2013 15.40 15.50 21.10 7.10 14.20 2.90
2014 21.70 21.30 13.30 21.90 8.70 7.00
2015 20.30 16.90 24.20 12.60 10.90 2.40
2016 17.91 22.86 19.77 19.98 17.86 3.12
2017 28.34 28.04 19.97 16.16 14.32 2.78
2018 18.21 28.99 16.97 13.03 10.41 3.76
2019 20.63 26.02 15.53 14.27 9.52 6.00
2020 23.76 20.11 17.20 11.58 10.66 1.87
2021 20.35 25.32 19.69 17.08 5.16 5.81
2022 18.53 29.36 17.31 19.16 11.13 1.66
 ESTACION LIRCAY
Final : 2015
Latitud : 12 58 53.25

JUL AGO SET OCT NOV DIC Max_D24hrs

0.00 14.80 21.20 19.70 13.80 18.55 40.10
3.80 2.80 25.20 14.00 3.80 17.30 25.20
0.00 9.90 12.10 21.10 13.60 14.40 23.40
7.40 0.00 14.60 6.80 6.40 18.90 20.2
14.80 10.20 24.80 9.40 12.40 34.80 34.8
4.10 4.00 0.40 11.80 16.10 21.80 35.2
0.00 0.00 0.00 24.00 15.70 20.20 30.8
2.60 7.40 8.00 14.40 9.50 10.00 19.2
5.70 14.90 6.40 13.80 8.36 22.70 23.1
7.70 2.70 6.00 16.10 12.20 13.50 30.4
6.80 8.10 11.60 16.20 6.70 12.50 22.9
8.30 7.80 10.30 19.90 49.70 23.00 49.7
0.50 0.00 6.40 16.90 13.30 12.50 38
3.40 7.00 8.20 12.60 13.70 12.50 37.1
0.00 8.90 7.20 9.80 12.00 11.00 27.5
0.00 9.00 20.70 7.90 16.10 33.30 33.3
0.00 2.50 8.90 17.40 20.60 16.00 36.2
18.10 0.00 5.60 12.50 10.20 14.90 20
16.20 8.80 6.70 21.40 7.60 20.00 26.6
5.20 6.60 17.20 10.10 12.40 29.90 29.9
15.10 5.70 11.10 22.10 19.60 28.00 41.2
3.20 8.20 8.80 9.20 19.30 21.70 27.4
8.00 4.50 8.70 6.20 9.90 17.10 26
13.60 2.70 13.20 19.60 6.40 17.70 22.1
1.90 8.70 6.10 9.60 13.40 20.00 21.3
17.90 1.20 5.60 9.30 9.10 18.40 29.7
3.50 1.70 4.90 8.30 3.60 14.00 48
13.60 2.50 7.80 14.00 33.60 24.50 33.6
0.00 1.20 4.80 7.00 9.90 21.68 25.7
8.30 5.20 11.20 9.40 10.90 16.40 35.5
2.90 1.40 13.80 15.00 13.00 31.30 46.3
3.10 9.50 3.60 12.20 6.20 17.50 21.1
4.50 14.00 11.80 28.40 6.00 12.10 28.4
3.80 10.00 3.40 29.80 6.30 12.70 29.8
1.53 5.42 12.23 9.56 10.73 16.57 22.86
1.35 6.64 11.50 12.47 8.11 13.66 28.34
2.45 3.69 11.73 11.04 12.36 14.53 28.99
 2.84 5.22 10.17 11.76 11.77 18.88 26.02
0.71 9.39 14.26 12.42 8.01 15.03 23.76
0.73 1.36 10.62 12.38 10.42 13.92 25.32
17.36 8.36 9.99 15.22 7.24 16.03 29.36
Año Max_D24hrs Log(P24hr) Parametros estadisticos
1982 40.1 1.6031 Numero de datos (N)
1983 25.2 1.4014 Sumatoria
1984 23.4 1.3692 Valor Maximo
1985 20.2 1.3054 Valor Minimo
1986 34.8 1.5416 Media
1987 35.2 1.5465 Varianza
1988 30.8 1.4886 Desviacion Estandar
1989 19.2 1.2833 Coeficiente de Variacion
1990 23.1 1.3636 Coeficiente de Sesgo o Asimetria
1991 30.4 1.4829
1992 22.9 1.3598 Consideracion :
1993 49.7 1.6964
1994 38 1.5798
1995 37.1 1.5694 n= 41.00
1996 27.5 1.4393 Kn = 2.692
1997 33.3 1.5224 Umbral de datos dudosos altos (xH: unidad. Logaritmicas)
1998 36.2 1.5587
1999 20 1.3010 𝑥_𝐻=𝑥 ̅+𝑘_𝑛⋅𝑠
2000 26.6 1.4249
2001 29.9 1.4757 Precipitacion maxima aceptaba
2002 41.2 1.6149
2003 27.4 1.4378 PH=10^𝑥𝐻 PH =
2004 26 1.4150 NO existen datos dudosos ALTO
2005 22.1 1.3444 muestra.
2006 21.3 1.3284
2007 29.7 1.4728
2008 48 1.6812 Umbral de datos dudosos altos (xH: unidad. Logaritmicas)
2009 33.6 1.5263
2010 25.7 1.4099 𝑥_𝐿=𝑥 ̅−𝑘_𝑛⋅𝑠
2011 35.5 1.5502
2012 46.3 1.6656 Precipitacion maxima aceptaba
2013 21.1 1.3243
2014 28.4 1.4533 PH=10^𝑥𝐻 PL =
2015 29.8 1.4742 NO existen datos dudosos MINIM
2016 22.86 1.3591 la muestra.
2017 28.34 1.4524
2018 28.99 1.4622
2019 26.02 1.4153
2020 23.76 1.3758
2021 25.32 1.4035
2022 29.36 1.4678
 P24hr Log(P24hr) Año Max_D24hrs Valor Max Valor Min
41.00 41.00 1982 40.1 55.9 15.0
1224.35 59.95 1983 25.2 55.9 15.0
49.70 1.70 1984 23.4 55.9 15.0
19.20 1.28 1985 20.2 55.9 15.0
29.86 1.46 1986 34.8 55.9 15.0
58.76 0.01 1987 35.2 55.9 15.0
7.67 0.11 1988 30.8 55.9 15.0
0.26 0.07 1989 19.2 55.9 15.0
0.92 0.41 1990 23.1 55.9 15.0
Aplicar pruebas para 1991 30.4 55.9 15.0
detectar datos dudosos 1992 22.9 55.9 15.0
altos 1993 49.7 55.9 15.0
1994 38 55.9 15.0
1995 37.1 55.9 15.0
1996 27.5 55.9 15.0
tos (xH: unidad. Logaritmicas) 1997 33.3 55.9 15.0
1998 36.2 55.9 15.0
x_H = 1.75 1999 20 55.9 15.0
2000 26.6 55.9 15.0
2001 29.9 55.9 15.0
2002 41.2 55.9 15.0
55.92 mm 2003 27.4 55.9 15.0
O existen datos dudosos ALTO de la 2004 26 55.9 15.0
muestra. 2005 22.1 55.9 15.0
2006 21.3 55.9 15.0
2007 29.7 55.9 15.0
tos (xH: unidad. Logaritmicas) 2008 48 55.9 15.0
2009 33.6 55.9 15.0
x_L = 1.18 2010 25.7 55.9 15.0
2011 35.5 55.9 15.0
2012 46.3 55.9 15.0
2013 21.1 55.9 15.0
15.02 mm 2014 28.4 55.9 15.0
O existen datos dudosos MINIMO de 2015 29.8 55.9 15.0
a muestra. 2016 22.86 55.9 15.0
2017 28.34 55.9 15.0
2018 28.99 55.9 15.0
2019 26.02 55.9 15.0
2020 23.76 55.9 15.0
2021 25.32 55.9 15.0
2022 29.36 55.9 15.0
 Outlier estación lircay
Precipitacion max 24hr Linear (Precipitacion max 24hr)
60 Valor Max Valor Min

50

40
Max_D24hrs

30

20

10

0
1980

1985

1990

1995

2000

2005

2010

2015

2020

2025
Año
2020

2025
Año Max_D24hrs
1982 40.1
1983 25.2
1984 23.4 N= 41
1985 20.2 Rango= 30.50
1986 34.8 NC= 5.94 6.00
1987 35.2 dX= 6.18 6.10
1988 30.8 Xmin= 19.20
1989 19.2 Xmax= 49.70
1990 23.1
1991 30.4
1992 22.9
1993 49.7
1994 38
1995 37.1
1996 27.5
1997 33.3
1998 36.2
1999 20
2000 26.6
2001 29.9
2002 41.2
2003 27.4
2004 26
2005 22.1
2006 21.3
2007 29.7
2008 48
2009 33.6
2010 25.7
2011 35.5
Weibull Lo
2012 46.3
2013 21.1 Exceedance probability (%) - scale: Normal dis
99.95%
99.9%
99.8%

99.5%

2014 28.4
99%

98%

95%

90%

80%

70%

60%

50%

40%

30%
2015 29.8
65
2016 22.86
2017 28.34 60
2018 28.99
55
2019 26.02
2020 23.76 50

2021 25.32 45
2022 29.36
40

35
mm

30

25

20
 45

40

35

mm
30

25

20

15

10

0
-3 -2 -1 0
 Kolmogorov-Smirnov test for:All data a=1% a=5% a=10% Attained a DMax
Normal ACCEPT ACCEPT ACCEPT 58.79% 0.11798
Normal (L-Moments) ACCEPT ACCEPT ACCEPT 59.49% 0.11733
LogNormal ACCEPT ACCEPT ACCEPT 98.53% 0.06846
Galton ACCEPT ACCEPT ACCEPT 99.61% 0.06109
Exponential ACCEPT ACCEPT ACCEPT 74.71% 0.10311
Exponential (L-Moments) ACCEPT ACCEPT ACCEPT 91.61% 0.08410
Gamma ACCEPT ACCEPT ACCEPT 91.11% 0.08484
Pearson III ACCEPT ACCEPT ACCEPT 99.75% 0.05923
Log Pearson III ACCEPT ACCEPT ACCEPT 99.99% 0.04850
EV1-Max (Gumbel) ACCEPT ACCEPT ACCEPT 99.97% 0.05134
EV2-Max ACCEPT ACCEPT ACCEPT 72.11% 0.10559
EV1-Min (Gumbel) ACCEPT ACCEPT ACCEPT 10.30% 0.18739
EV3-Min (Weibull) ACCEPT ACCEPT ACCEPT 43.06% 0.13358
GEV-Max ACCEPT ACCEPT ACCEPT 99.77% 0.05875
GEV-Min ACCEPT ACCEPT ACCEPT 99.83% 0.05764
Pareto ACCEPT ACCEPT ACCEPT 80.10% 0.09779
GEV-Max (L-Moments) ACCEPT ACCEPT ACCEPT 100.00% 0.04610
GEV-Min (L-Moments) ACCEPT ACCEPT ACCEPT 100.00% 0.04568
EV1-Max (Gumbel, L-Moments) ACCEPT ACCEPT ACCEPT 99.99% 0.04920
EV2-Max (L-Momments) ACCEPT ACCEPT ACCEPT 96.60% 0.07475
EV1-Min (Gumbel, L-Moments) ACCEPT ACCEPT ACCEPT 10.28% 0.18745
EV3-Min (Weibull, L-Moments) ACCEPT ACCEPT ACCEPT 42.99% 0.13366
Pareto (L-Moments) ACCEPT ACCEPT ACCEPT 96.00% 0.07621
GEV-Max (kappa specified) ACCEPT ACCEPT ACCEPT 83.08% 0.09467
GEV-Min (kappa specified) ACCEPT ACCEPT ACCEPT 29.02% 0.15050
GEV-Max (kappa specified, L-Moments) ACCEPT ACCEPT ACCEPT 99.07% 0.06565
GEV-Min (kappa specified, L-Moments) ACCEPT ACCEPT ACCEPT 29.34% 0.15005

Weibull LogPearsonIII

Exceedance probability (%) - scale: Normal distribution

.05%
80%

70%

60%

50%

40%

30%

20%

10%

.5%

.2%
.1%
5%

2%

1%
-1 0 1 2 3
X-Square test for All data a=1% a=5% a=10% Attained a
Normal ACCEPT ACCEPT ACCEPT 21.12%
Normal (L-Moments) ACCEPT ACCEPT ACCEPT 16.48%
LogNormal ACCEPT ACCEPT ACCEPT 93.72%
Galton ACCEPT ACCEPT ACCEPT 81.28%
Exponential ACCEPT ACCEPT ACCEPT 14.54%
Exponential (L-Moments) ACCEPT ACCEPT ACCEPT 43.08%
Gamma ACCEPT ACCEPT ACCEPT 59.81%
Pearson III ACCEPT ACCEPT ACCEPT 81.28%
Log Pearson III ACCEPT ACCEPT ACCEPT 94.08%
EV1-Max (Gumbel) ACCEPT ACCEPT ACCEPT 93.72%
EV2-Max ACCEPT ACCEPT REJECT 8.73%
EV1-Min (Gumbel) ACCEPT ACCEPT REJECT 5.91%
EV3-Min (Weibull) ACCEPT ACCEPT ACCEPT 12.81%
GEV-Max ACCEPT ACCEPT ACCEPT 81.28%
GEV-Min ACCEPT ACCEPT ACCEPT 81.28%
Pareto ACCEPT ACCEPT ACCEPT 45.26%
GEV-Max (L-Moments) ACCEPT ACCEPT ACCEPT 81.28%
GEV-Min (L-Moments) ACCEPT ACCEPT ACCEPT 60.65%
EV1-Max (Gumbel, L-Moments) ACCEPT ACCEPT ACCEPT 93.72%
EV2-Max (L-Momments) ACCEPT ACCEPT ACCEPT 73.09%
EV1-Min (Gumbel, L-Moments) ACCEPT REJECT REJECT 4.55%
EV3-Min (Weibull, L-Moments) ACCEPT ACCEPT ACCEPT 12.81%
Pareto (L-Moments) ACCEPT ACCEPT ACCEPT 45.26%
GEV-Max (kappa specified) ACCEPT ACCEPT ACCEPT 12.81%
GEV-Min (kappa specified) ACCEPT ACCEPT REJECT 7.67%
GEV-Max (kappa specified, L-Moments) ACCEPT ACCEPT ACCEPT 53.77%
GEV-Min (kappa specified, L-Moments) ACCEPT ACCEPT REJECT 7.67%

Weibull LogPearsonIII

Exceedance probability (%) - scale: Normal distribution

99.95%
99.9%
99.8%

99.5%

99%

98%

95%

90%

80%

70%

60%

50%

40%

30%

20%

10%

.5%
5%

2%

1%

65

60

55

50

45

40

35
mm

30

25
 45

40

35

mm
30

25

20

15

10

0
-3 -2 -1 0 1 2
 Pearson Param.
4.5122
5.09756
0.41463
0.41463
5.39024
2.7561
1.87805
0.41463
0.12195
0.41463
6.56098
7.43902
5.68293
0.41463
0.41463
1.58537
0.41463
1
0.41463
1.29268
8.02439
5.68293
1.58537
5.68293
6.85366
2.17073
6.85366

II
.05%
.5%

.2%
.1%
5%

2%

1%
2 3
 Kolmogorov
X-Square
-Smirnov
Log Pearson EV1-Max
Retorno PPmáx24 Retorno
III (Gumbel)
Años mm mm mm Años
2 28.51 28.60 28.51 2
5 35.37 35.38 35.37 5
10 39.98 39.87 39.98 10
25 45.89 45.54 45.89 20
50 50.38 49.74 50.38 50
100 54.94 53.92 54.94 100
200 59.62 58.08 59.62 200
500 66.03 63.56 66.03 500
1000 71.08 67.71 71.08 1000

2 5 10
All data - T( Value All data - T( Value All data - T(
Normal 29.8622 Normal 36.3138 Normal
Normal (L-M 29.8622 Normal (L-M 36.2277 Normal (L-M
LogNormal 28.9244 LogNormal 35.7766 LogNormal
Galton 28.7961 Galton 35.6555 Galton
Exponential 27.51 Exponential 34.5339 Exponential
Exponential 27.2434 Exponential 35.0633 Exponential
Gamma 29.2089 Gamma 36.0495 Gamma
Pearson III 28.7087 Pearson III 35.7443 Pearson III
Log Pearson II 28.5088 Log Pearson II 35.3716 Log Pearson II
EV1-Max (Gu 28.6025 EV1-Max (Gu 35.3795 EV1-Max (Gu
EV2-Max 28.071 EV2-Max 34.0388 EV2-Max
EV1-Min (Gum 31.1219 EV1-Min (Gum 36.1588 EV1-Min (Gum
EV3-Min (Wei 30.1518 EV3-Min (Wei 36.47 EV3-Min (Wei
GEV-Max 28.7634 GEV-Max 35.6216 GEV-Max
GEV-Min 28.5707 GEV-Min 35.9225 GEV-Min
Pareto 28.0723 Pareto 36.2912 Pareto
GEV-Max (L- 28.3692 GEV-Max (L- 35.3388 GEV-Max (L-
GEV-Min (L- 28.2881 GEV-Min (L- 35.8485 GEV-Min (L-
EV1-Max (Gu 28.5652 EV1-Max (Gu 35.5428 EV1-Max (Gu
EV2-Max (L- 27.7198 EV2-Max (L- 34.4859 EV2-Max (L-
EV1-Min (Gum 31.1592 EV1-Min (Gum 36.3452 EV1-Min (Gum
EV3-Min (Wei 30.1628 EV3-Min (Wei 36.3795 EV3-Min (Wei
Pareto (L-Mo 28.1331 Pareto (L-Mo 36.4546 Pareto (L-Mo
GEV-Max (kap 28.117 GEV-Max (kap 34.2223 GEV-Max (kap
GEV-Min (kapp 30.4915 GEV-Min (kapp 36.4494 GEV-Min (kapp
GEV-Max (kap 27.9029 GEV-Max (kap 34.7572 GEV-Max (kap
GEV-Min (kap 30.4858 GEV-Min (kap 36.3901 GEV-Min (kap
Log Pearson III

mm 28.5088
28.5088 35.3716
35.3716 39.976
39.976 44.4532
44.4532 50.3766
50.3766 54.9415
54.9415 59.6221
59.6221 66.0343
66.0343 71.083
71.083

10 25 50
Value All data - T( Value All data - T( Value
39.6861 Normal 43.2824 Normal 45.6055
39.555 Normal (L-M 43.1032 Normal (L-M 45.3954
39.9819 LogNormal 45.0124 LogNormal 48.5939
39.9658 Galton 45.2107 Galton 48.9988
39.8474 Exponential 46.8714 Exponential 52.1848
40.9789 Exponential 48.7988 Exponential 54.7143
40.0106 Gamma 44.5353 Gamma 47.6266
40.1279 Pearson III 45.3638 Pearson III 49.0632
39.976 Log Pearson I 45.8897 Log Pearson II 50.3766
39.8664 EV1-Max (Gu 45.5357 EV1-Max (Gu 49.7415
38.6724 EV2-Max 45.4395 EV2-Max 51.2139
38.3003 EV1-Min (Gum 40.3033 EV1-Min (Gum 41.4694
39.5424 EV3-Min (Wei 42.6501 EV3-Min (Wei 44.5705
39.9928 GEV-Max 45.3298 GEV-Max 49.1592
40.3831 GEV-Min 45.5318 GEV-Min 49.0485
41.1381 Pareto 46.1471 Pareto 49.1011
40.1478 GEV-Max (L- 46.4548 GEV-Max (L- 51.3062
40.6283 GEV-Min (L- 46.2847 GEV-Min (L- 50.2218
40.1626 EV1-Max (Gu 45.9997 EV1-Max (Gu 50.33
39.8512 EV2-Max (L- 47.8398 EV2-Max (L- 54.7841
38.55 EV1-Min (Gum 40.6124 EV1-Min (Gum 41.813
39.3965 EV3-Min (Wei 42.4446 EV3-Min (Wei 44.3265
41.2438 Pareto (L-Mo 46.0771 Pareto (L-Mo 48.8588
38.8748 GEV-Max (kap 45.5541 GEV-Max (kap 51.1604
39.2195 GEV-Min (kapp 41.9489 GEV-Min (kapp 43.6021
39.9804 GEV-Max (kap 47.479 GEV-Max (kap 53.773
39.1353 GEV-Min (kap 41.84 GEV-Min (kap 43.4784
 100 200 500
All data - T( Value All data - T( Value All data - T( Value
Normal 47.6952 Normal 49.6076 Normal 51.9252
Normal (L-M 47.4572 Normal (L-M 49.3441 Normal (L-M 51.6307
LogNormal 52.0581 LogNormal 55.4446 LogNormal 59.845
Galton 52.7028 Galton 56.3591 Galton 61.1598
Exponential 57.4982 Exponential 62.8117 Exponential 69.8356
Exponential 60.6299 Exponential 66.5454 Exponential 74.3653
Gamma 50.5218 Gamma 53.2677 Gamma 56.7201
Pearson III 52.6082 Pearson III 56.0357 Pearson III 60.4273
Log Pearson II 54.9415 Log Pearson II 59.6221 Log Pearson II 66.0343
EV1-Max (Gu 53.9163 EV1-Max (Gu 58.0758 EV1-Max (Gu 63.5635
EV2-Max 57.6711 EV2-Max 64.9143 EV2-Max 75.8804
EV1-Min (Gum 42.4447 EV1-Min (Gum 43.2831 EV1-Min (Gum 44.2369
EV3-Min (Wei 46.2431 EV3-Min (Wei 47.7308 EV3-Min (Wei 49.4816
GEV-Max 52.8543 GEV-Max 56.4338 GEV-Max 61.0052
GEV-Min 52.3274 GEV-Min 55.4174 GEV-Min 59.2681
Pareto 51.4877 Pareto 53.4159 Pareto 55.4086
GEV-Max (L- 56.2722 GEV-Max (L- 61.3737 GEV-Max (L- 68.3468
GEV-Min (L- 53.9403 GEV-Min (L- 57.4829 GEV-Min (L- 61.9458
EV1-Max (Gu 54.6283 EV1-Max (Gu 58.911 EV1-Max (Gu 64.5611
EV2-Max (L- 62.6736 EV2-Max (L- 71.664 EV2-Max (L- 85.5278
EV1-Min (Gum 42.8172 EV1-Min (Gum 43.6804 EV1-Min (Gum 44.6624
EV3-Min (Wei 45.9646 EV3-Min (Wei 47.4209 EV3-Min (Wei 49.1338
Pareto (L-Mo 51.0602 Pareto (L-Mo 52.8022 Pareto (L-Mo 54.5603
GEV-Max (kap 57.3422 GEV-Max (kap 64.1801 GEV-Max (kap 74.3653
GEV-Min (kapp 45.0225 GEV-Min (kapp 46.2715 GEV-Min (kapp 47.7248
GEV-Max (kap 60.7131 GEV-Max (kap 68.3898 GEV-Max (kap 79.8244
GEV-Min (kap 44.886 GEV-Min (kap 46.1238 GEV-Min (kap 47.564
 1000
All data - T( Value
Normal 53.5509
Normal (L-M 53.2347
LogNormal 63.1385
Galton 64.7876
Exponential 75.1491
Exponential 80.2809
Gamma 59.2241
Pearson III 63.6653
Log Pearson II 71.083
EV1-Max (Gu 67.711
EV2-Max 85.3814
EV1-Min (Gum 44.8691
EV3-Min (Wei 50.6775
GEV-Max 64.3495
GEV-Min 62.0342
Pareto 56.5837
GEV-Max (L- 73.8064
GEV-Min (L- 65.1825
EV1-Max (Gu 68.8313
EV2-Max (L- 97.7588
EV1-Min (Gum 45.3133
EV3-Min (Wei 50.3033
Pareto (L-Mo 55.5722
GEV-Max (kap 83.049
GEV-Min (kapp 48.7075
GEV-Max (kap 89.5733
GEV-Min (kap 48.5378
 Modelo de Dick Pe

Precipitación en
Retorno PPmáx24 28.51 35.37 39.98
Años mm Duración
Periodo de Re
(Minutos)
2 28.51 2 5 10
5 35.37 Precipitac
10 39.98 5 6.92 8.59 9.70
25 45.89 10 8.23 10.21 11.54
50 50.38 15 9.11 11.30 12.77
100 54.94 20 9.79 12.14 13.72
200 59.62 25 10.35 12.84 14.51
500 66.03 30 10.83 13.44 15.19
1000 71.08 35 11.26 13.97 15.78
40 11.64 14.44 16.32
45 11.99 14.87 16.81
50 12.31 15.27 17.26
55 12.60 15.64 17.67
60 12.88 15.98 18.06
120 15.32 19.00 21.48
180 16.95 21.03 23.77
240 18.22 22.60 25.54
300 19.26 23.90 27.01
360 20.16 25.01 28.27
420 20.95 25.99 29.38
480 21.66 26.88 30.38
540 22.31 27.68 31.28
600 22.90 28.42 32.12
660 23.46 29.10 32.89
720 23.97 29.74 33.62
780 24.46 30.35 34.30
840 24.91 30.91 34.94
900 25.35 31.45 35.54
960 25.76 31.96 36.12
1020 26.15 32.45 36.67
1080 26.53 32.92 37.20
1140 26.89 33.36 37.71
1200 27.24 33.80 38.19
1260 27.57 34.21 38.66
1320 27.90 34.61 39.12
1380 28.21 35.00 39.55
1440 28.51 35.37 39.98
𝑷_𝑫=𝑷_𝟐𝟒𝒉× 〖 (𝑫/𝟏𝟒𝟒𝟎) 〗 ^(𝟎.𝟐𝟓)

PD = precipitación máxima de duración D, en mm

P24h = precipitación máxima de 24 horas, en mm
D = duración de la precipitación, en horas

Modelo de Frederic

Precipitación en
28.51
Duración
Periodo de Re
(Minutos)
5
Precipitac
5 3.47
10 5.19
15 6.34
20 7.24
25 7.98
30 8.61
35 9.17
40 9.67
45 10.13
50 10.55
55 10.94
60 11.31
120 14.51
180 16.66
240 18.33
300 19.70
360 20.88
420 21.92
480 22.86
540 23.71
600 24.49
660 25.22
720 25.90
780 26.54
840 27.14
900 27.71
960 28.25
1020 28.77
1080 29.26
1140 29.74
1200 30.20
1260 30.64
1320 31.06
1380 31.47
1440 31.87
Modelo de Dick Peschke

Precipitación en 24 horas (mm)

45.89 50.38 54.94 59.62 66.03 71.08
Duracion
Periodo de Retorno (Años)
(Horas)
25 50 100 200 500 1000
Precipitación (mm)
11.14 12.23 13.34 14.47 16.03 17.26 0.083
13.25 14.54 15.86 17.21 19.06 20.52 0.167
14.66 16.09 17.55 19.05 21.10 22.71 0.250
15.75 17.29 18.86 20.47 22.67 24.40 0.333
16.66 18.29 19.94 21.64 23.97 25.80 0.417
17.43 19.14 20.87 22.65 25.09 27.01 0.500
18.12 19.89 21.69 23.54 26.07 28.07 0.583
18.73 20.57 22.43 24.34 26.96 29.02 0.667
19.29 21.18 23.10 25.07 27.76 29.89 0.750
19.81 21.75 23.72 25.74 28.51 30.68 0.833
20.29 22.27 24.29 26.36 29.19 31.42 0.917
20.73 22.76 24.82 26.94 29.83 32.12 1.000
24.66 27.07 29.52 32.03 35.48 38.19 2.000
27.29 29.95 32.67 35.45 39.26 42.27 3.000
29.32 32.19 35.10 38.10 42.19 45.42 4.000
31.00 34.03 37.12 40.28 44.61 48.02 5.000
32.45 35.62 38.85 42.16 46.69 50.26 6.000
33.72 37.02 40.38 43.82 48.53 52.24 7.000
34.87 38.28 41.75 45.30 50.18 54.01 8.000
35.91 39.42 42.99 46.66 51.67 55.63 9.000
36.87 40.47 44.14 47.90 53.05 57.11 10.000
37.76 41.45 45.21 49.06 54.33 58.49 11.000
38.59 42.36 46.20 50.14 55.53 59.77 12.000
39.37 43.22 47.13 51.15 56.65 60.98 13.000
40.10 44.03 48.02 52.11 57.71 62.12 14.000
40.80 44.79 48.85 53.01 58.71 63.20 15.000
41.47 45.52 49.65 53.87 59.67 64.23 16.000
42.10 46.22 50.40 54.70 60.58 65.21 17.000
42.71 46.88 51.13 55.48 61.45 66.15 18.000
43.29 47.52 51.82 56.24 62.29 67.05 19.000
43.84 48.13 52.49 56.97 63.09 67.92 20.000
44.38 48.72 53.14 57.66 63.87 68.75 21.000
44.90 49.29 53.76 58.34 64.61 69.55 22.000
45.40 49.84 54.36 58.99 65.34 70.33 23.000
45.89 50.38 54.94 59.62 66.03 71.08 24.000
𝟒𝟎) 〗 ^(𝟎.𝟐𝟓)

duración D, en mm
e 24 horas, en mm
n, en horas

Modelo de Frederich Bell

Precipitación en 24 horas (mm)

45.89 50.38 54.94 59.62 66.03 71.08
Duracion
Periodo de Retorno (Años)
(Horas)
10 20 50 100 200 500
Precipitación (mm)
4.05 4.64 5.42 6.01 6.60 7.37 0.083
6.07 6.95 8.11 8.99 9.87 11.04 0.167
7.42 8.50 9.92 11.00 12.07 13.50 0.250
8.47 9.69 11.32 12.54 13.77 15.40 0.333
9.33 10.68 12.47 13.82 15.18 16.97 0.417
10.07 11.53 13.46 14.93 16.39 18.32 0.500
10.73 12.28 14.34 15.90 17.45 19.51 0.583
11.31 12.96 15.13 16.77 18.41 20.58 0.667
11.85 13.57 15.84 17.56 19.28 21.55 0.750
12.34 14.13 16.50 18.29 20.08 22.45 0.833
12.80 14.66 17.11 18.97 20.82 23.28 0.917
13.23 15.14 17.68 19.60 21.52 24.05 1.000
16.98 19.44 22.69 25.15 27.62 30.87 2.000
19.49 22.32 26.05 28.88 31.71 35.44 3.000
21.43 24.54 28.65 31.76 34.87 38.98 4.000
23.04 26.38 30.80 34.15 37.49 41.91 5.000
24.42 27.97 32.65 36.19 39.74 44.42 6.000
25.64 29.36 34.28 38.00 41.72 46.64 7.000
26.74 30.62 35.74 39.62 43.50 48.63 8.000
27.73 31.76 37.07 41.10 45.12 50.44 9.000
28.65 32.81 38.30 42.45 46.61 52.10 10.000
29.50 33.78 39.43 43.71 47.99 53.65 11.000
30.29 34.69 40.50 44.89 49.28 55.09 12.000
31.04 35.54 41.49 45.99 50.50 56.45 13.000
31.74 36.35 42.43 47.04 51.64 57.73 14.000
32.41 37.11 43.32 48.03 52.73 58.94 15.000
33.04 37.84 44.17 48.97 53.76 60.09 16.000
33.65 38.53 44.98 49.86 54.74 61.20 17.000
34.23 39.19 45.76 50.72 55.69 62.25 18.000
34.78 39.83 46.50 51.54 56.59 63.26 19.000
35.32 40.44 47.21 52.34 57.46 64.23 20.000
35.83 41.03 47.90 53.10 58.30 65.17 21.000
36.33 41.60 48.56 53.83 59.10 66.07 22.000
36.81 42.15 49.21 54.54 59.88 66.94 23.000
37.27 42.68 49.83 55.23 60.64 67.78 24.000
 Intesidad de Precipitación

Periodo de Retorno (Años)

Duracion
(min)
2 5 10 25 50 100 200
Intensidad (mm/hr)
5 83.04 103.04 116.45 133.67 146.74 160.04 173.68
10 49.38 61.27 69.24 79.48 87.25 95.16 103.27
15 36.43 45.20 51.08 58.64 64.38 70.21 76.19
20 29.36 36.43 41.17 47.26 51.88 56.58 61.40
25 24.84 30.81 34.83 39.98 43.89 47.86 51.94
30 21.66 26.88 30.38 34.87 38.28 41.75 45.30
35 19.30 23.94 27.06 31.06 34.10 37.19 40.36
40 17.46 21.66 24.48 28.10 30.85 33.64 36.51
45 15.98 19.83 22.41 25.73 28.24 30.80 33.42
50 14.77 18.32 20.71 23.77 26.10 28.46 30.88
55 13.75 17.06 19.28 22.13 24.30 26.50 28.75
60 12.88 15.98 18.06 20.73 22.76 24.82 26.94
120 7.66 9.50 10.74 12.33 13.53 14.76 16.02
180 5.65 7.01 7.92 9.10 9.98 10.89 11.82
240 4.55 5.65 6.39 7.33 8.05 8.78 9.52
300 3.85 4.78 5.40 6.20 6.81 7.42 8.06
360 3.36 4.17 4.71 5.41 5.94 6.47 7.03
420 2.99 3.71 4.20 4.82 5.29 5.77 6.26
480 2.71 3.36 3.80 4.36 4.78 5.22 5.66
540 2.48 3.08 3.48 3.99 4.38 4.78 5.18
600 2.29 2.84 3.21 3.69 4.05 4.41 4.79
660 2.13 2.65 2.99 3.43 3.77 4.11 4.46
720 2.00 2.48 2.80 3.22 3.53 3.85 4.18
780 1.88 2.33 2.64 3.03 3.32 3.63 3.93
840 1.78 2.21 2.50 2.86 3.14 3.43 3.72
900 1.69 2.10 2.37 2.72 2.99 3.26 3.53
960 1.61 2.00 2.26 2.59 2.85 3.10 3.37
1020 1.54 1.91 2.16 2.48 2.72 2.96 3.22
1080 1.47 1.83 2.07 2.37 2.60 2.84 3.08
1140 1.42 1.76 1.98 2.28 2.50 2.73 2.96
1200 1.36 1.69 1.91 2.19 2.41 2.62 2.85
1260 1.31 1.63 1.84 2.11 2.32 2.53 2.75
1320 1.27 1.57 1.78 2.04 2.24 2.44 2.65
1380 1.23 1.52 1.72 1.97 2.17 2.36 2.56
1440 1.19 1.47 1.67 1.91 2.10 2.29 2.48
 Intesidad de Precipitación

Periodo de Retorno (Años)

Duracion
(min)
5 10 20 50 100
Intensidad (mm/hr)
5 41.60 48.66 55.72 65.05 72.10
10 31.14 36.42 41.70 48.68 53.96
15 25.38 29.68 33.99 39.68 43.98
20 21.71 25.40 29.08 33.95 37.63
25 19.14 22.39 25.64 29.93 33.18
30 17.22 20.14 23.07 26.93 29.85
35 15.72 18.39 21.06 24.58 27.25
40 14.51 16.97 19.43 22.69 25.15
45 13.51 15.80 18.09 21.12 23.41
50 12.66 14.81 16.96 19.80 21.95
55 11.94 13.96 15.99 18.66 20.69
60 11.31 13.23 15.14 17.68 19.60
120 7.26 8.49 9.72 11.35 12.58
180 5.55 6.50 7.44 8.68 9.63
240 4.58 5.36 6.14 7.16 7.94
300 3.94 4.61 5.28 6.16 6.83
360 3.48 4.07 4.66 5.44 6.03
420 3.13 3.66 4.19 4.90 5.43
480 2.86 3.34 3.83 4.47 4.95
540 2.63 3.08 3.53 4.12 4.57
600 2.45 2.86 3.28 3.83 4.25
660 2.29 2.68 3.07 3.58 3.97
720 2.16 2.52 2.89 3.37 3.74
780 2.04 2.39 2.73 3.19 3.54
840 1.94 2.27 2.60 3.03 3.36
900 1.85 2.16 2.47 2.89 3.20
960 1.77 2.07 2.36 2.76 3.06
1020 1.69 1.98 2.27 2.65 2.93
1080 1.63 1.90 2.18 2.54 2.82
1140 1.57 1.83 2.10 2.45 2.71
1200 1.51 1.77 2.02 2.36 2.62
1260 1.46 1.71 1.95 2.28 2.53
1320 1.41 1.65 1.89 2.21 2.45
1380 1.37 1.60 1.83 2.14 2.37
1440 1.33 1.55 1.78 2.08 2.30
 𝑰_𝒎𝒂𝒙= 〖 (𝑲×𝑻
500 1000 ^𝒎)/𝑫^𝒏 〗 ^

192.35 207.06 log⁡〖𝑰 _𝒎𝒂𝒙 〗 =log⁡〖𝑲 ×𝑻^𝒎

114.37 123.12
84.38 90.84 〖 ×𝑫 〗 ^(−𝒏) 〗
68.01 73.21
log⁡〖𝑰 _𝒎𝒂𝒙 〗 =log⁡𝑲+log⁡〖𝑻 ^𝒎 〗
57.53 61.93
50.18 54.01 +log⁡〖𝑫 ^(−𝒏) 〗
44.70
40.44
48.11
43.53
𝒚= 〖 𝑿〗 _𝟏 + 𝒎𝑿_𝟐 − 〖 𝐧〗⁡〖𝑿 _𝟑 〗
37.02 39.85
34.21 36.82
31.85 34.28 Imax =intensidad máxima de lluvia, en mm/hr
29.83 32.12 T = periodo de retorno, en años
17.74 19.10 D = duración, en minutos
13.09 14.09
10.55 11.35
8.92 9.60
7.78 8.38
6.93 7.46
6.27 6.75
5.74 6.18
5.31 5.71
4.94 5.32
4.63 4.98
4.36 4.69
4.12 4.44
3.91 4.21
3.73 4.01
3.56 3.84
3.41 3.68
3.28 3.53
3.15 3.40
3.04 3.27
2.94 3.16
2.84 3.06
2.75 2.96
200 500

79.16 88.49
59.25 66.23
48.29 53.98
41.32 46.19
36.43 40.72
32.77 36.63
29.92 33.44
27.61 30.87
25.70 28.73
24.10 26.94
22.72 25.39
21.52 24.05
13.81 15.44
10.57 11.81
8.72 9.75
7.50 8.38
6.62 7.40
5.96 6.66
5.44 6.08
5.01 5.60
4.66 5.21
4.36 4.88
4.11 4.59
3.88 4.34
3.69 4.12
3.52 3.93
3.36 3.76
3.22 3.60
3.09 3.46
2.98 3.33
2.87 3.21
2.78 3.10
2.69 3.00
2.60 2.91
2.53 2.82
𝑰_𝒎𝒂𝒙= 〖 (𝑲×𝑻
^𝒎)/𝑫^𝒏 〗 ^
log⁡〖𝑰 _𝒎𝒂𝒙 〗 =log⁡〖𝑲 ×𝑻^
𝒎 〖 ×𝑫 〗 ^(−𝒏) 〗
log⁡〖𝑰 _𝒎𝒂𝒙 〗 =log⁡𝑲+ 〖𝐦 log 〗⁡𝑻
+(−𝒏)log⁡
𝒚= 𝑫
𝐀 + 𝑩𝑿_𝟏+ 〖 𝑪〗⁡〖𝑿
_𝟐 〗
Imax =intensidad máxima de lluvia, en mm/hr
T = periodo de retorno, en años
D = duración, en minutos
 ANALISIS DE REGRESION MULTIPLE

duración Intensidad k n m
Tiempo de
n (min)
retorno(años) (mm/hr)
d T I y=Log(I) x1=Log(T) x2=Log(d)
𝒎 1 5 2 83.04 1.92 0.30 0.70
2 10 2 49.38 1.69 0.30 1.00
3 15 2 36.43 1.56 0.30 1.18

^𝒎 〗 4
5
20
25
2
2
29.36
24.84
1.47
1.40
0.30
0.30
1.30
1.40
6 30 2 21.66 1.34 0.30 1.48
7
𝐧〗⁡〖𝑿 _𝟑 〗 8
35
40
2
2
19.30
17.46
1.29
1.24
0.30
0.30
1.54
1.60
9 45 2 15.98 1.20 0.30 1.65
10 50 2 14.77 1.17 0.30 1.70
11 55 2 13.75 1.14 0.30 1.74
12 60 2 12.88 1.11 0.30 1.78
13 120 2 7.66 0.88 0.30 2.08
14 180 2 5.65 0.75 0.30 2.26
15 240 2 4.55 0.66 0.30 2.38
16 300 2 3.85 0.59 0.30 2.48
17 360 2 3.36 0.53 0.30 2.56
18 420 2 2.99 0.48 0.30 2.62
19 480 2 2.71 0.43 0.30 2.68
20 540 2 2.48 0.39 0.30 2.73
21 600 2 2.29 0.36 0.30 2.78
22 660 2 2.13 0.33 0.30 2.82
23 720 2 2.00 0.30 0.30 2.86
24 780 2 1.88 0.27 0.30 2.89
25 840 2 1.78 0.25 0.30 2.92
26 900 2 1.69 0.23 0.30 2.95
27 960 2 1.61 0.21 0.30 2.98
28 1020 2 1.54 0.19 0.30 3.01
29 1080 2 1.47 0.17 0.30 3.03
30 1140 2 1.42 0.15 0.30 3.06
31 1200 2 1.36 0.13 0.30 3.08
32 1260 2 1.31 0.12 0.30 3.10
33 1320 2 1.27 0.10 0.30 3.12
34 1380 2 1.23 0.09 0.30 3.14
35 1440 2 1.19 0.07 0.30 3.16
36 5 5 103.04 2.01 0.70 0.70
37 10 5 61.27 1.79 0.70 1.00
38 15 5 45.20 1.66 0.70 1.18
39 20 5 36.43 1.56 0.70 1.30
40 25 5 30.81 1.49 0.70 1.40
41 30 5 26.88 1.43 0.70 1.48
42 35 5 23.94 1.38 0.70 1.54
43 40 5 21.66 1.34 0.70 1.60
44 45 5 19.83 1.30 0.70 1.65
45 50 5 18.32 1.26 0.70 1.70
46 55 5 17.06 1.23 0.70 1.74
47 60 5 15.98 1.20 0.70 1.78
48 120 5 9.50 0.98 0.70 2.08
49 180 5 7.01 0.85 0.70 2.26
50 240 5 5.65 0.75 0.70 2.38
51 300 5 4.78 0.68 0.70 2.48
52 360 5 4.17 0.62 0.70 2.56
53 420 5 3.71 0.57 0.70 2.62
54 480 5 3.36 0.53 0.70 2.68
55 540 5 3.08 0.49 0.70 2.73
56 600 5 2.84 0.45 0.70 2.78
57 660 5 2.65 0.42 0.70 2.82
58 720 5 2.48 0.39 0.70 2.86
59 780 5 2.33 0.37 0.70 2.89
60 840 5 2.21 0.34 0.70 2.92
61 900 5 2.10 0.32 0.70 2.95
62 960 5 2.00 0.30 0.70 2.98
63 1020 5 1.91 0.28 0.70 3.01
64 1080 5 1.83 0.26 0.70 3.03
65 1140 5 1.76 0.24 0.70 3.06
66 1200 5 1.69 0.23 0.70 3.08
67 1260 5 1.63 0.21 0.70 3.10
68 1320 5 1.57 0.20 0.70 3.12
69 1380 5 1.52 0.18 0.70 3.14
70 1440 5 1.47 0.17 0.70 3.16
71 5 10 116.45 2.07 1.00 0.70
72 10 10 69.24 1.84 1.00 1.00
73 15 10 51.08 1.71 1.00 1.18
74 20 10 41.17 1.61 1.00 1.30
75 25 10 34.83 1.54 1.00 1.40
76 30 10 30.38 1.48 1.00 1.48
77 35 10 27.06 1.43 1.00 1.54
78 40 10 24.48 1.39 1.00 1.60
79 45 10 22.41 1.35 1.00 1.65
80 50 10 20.71 1.32 1.00 1.70
81 55 10 19.28 1.29 1.00 1.74
 82 60 10 18.06 1.26 1.00 1.78
83 120 10 10.74 1.03 1.00 2.08
84 180 10 7.92 0.90 1.00 2.26
85 240 10 6.39 0.81 1.00 2.38
86 300 10 5.40 0.73 1.00 2.48
87 360 10 4.71 0.67 1.00 2.56
88 420 10 4.20 0.62 1.00 2.62
89 480 10 3.80 0.58 1.00 2.68
90 540 10 3.48 0.54 1.00 2.73
91 600 10 3.21 0.51 1.00 2.78
92 660 10 2.99 0.48 1.00 2.82
93 720 10 2.80 0.45 1.00 2.86
94 780 10 2.64 0.42 1.00 2.89
95 840 10 2.50 0.40 1.00 2.92
96 900 10 2.37 0.37 1.00 2.95
97 960 10 2.26 0.35 1.00 2.98
98 1020 10 2.16 0.33 1.00 3.01
99 1080 10 2.07 0.32 1.00 3.03
100 1140 10 1.98 0.30 1.00 3.06
101 1200 10 1.91 0.28 1.00 3.08
102 1260 10 1.84 0.27 1.00 3.10
103 1320 10 1.78 0.25 1.00 3.12
104 1380 10 1.72 0.24 1.00 3.14
105 1440 10 1.67 0.22 1.00 3.16
106 5 25 133.67 2.13 1.40 0.70
107 10 25 79.48 1.90 1.40 1.00
108 15 25 58.64 1.77 1.40 1.18
109 20 25 47.26 1.67 1.40 1.30
110 25 25 39.98 1.60 1.40 1.40
111 30 25 34.87 1.54 1.40 1.48
112 35 25 31.06 1.49 1.40 1.54
113 40 25 28.10 1.45 1.40 1.60
114 45 25 25.73 1.41 1.40 1.65
115 50 25 23.77 1.38 1.40 1.70
116 55 25 22.13 1.35 1.40 1.74
117 60 25 20.73 1.32 1.40 1.78
118 120 25 12.33 1.09 1.40 2.08
119 180 25 9.10 0.96 1.40 2.26
120 240 25 7.33 0.87 1.40 2.38
121 300 25 6.20 0.79 1.40 2.48
122 360 25 5.41 0.73 1.40 2.56
123 420 25 4.82 0.68 1.40 2.62
124 480 25 4.36 0.64 1.40 2.68
125 540 25 3.99 0.60 1.40 2.73
126 600 25 3.69 0.57 1.40 2.78
127 660 25 3.43 0.54 1.40 2.82
128 720 25 3.22 0.51 1.40 2.86
129 780 25 3.03 0.48 1.40 2.89
130 840 25 2.86 0.46 1.40 2.92
131 900 25 2.72 0.43 1.40 2.95
132 960 25 2.59 0.41 1.40 2.98
133 1020 25 2.48 0.39 1.40 3.01
134 1080 25 2.37 0.38 1.40 3.03
135 1140 25 2.28 0.36 1.40 3.06
136 1200 25 2.19 0.34 1.40 3.08
137 1260 25 2.11 0.32 1.40 3.10
138 1320 25 2.04 0.31 1.40 3.12
139 1380 25 1.97 0.30 1.40 3.14
140 1440 25 1.91 0.28 1.40 3.16
141 5 50 146.74 2.17 1.70 0.70
142 10 50 87.25 1.94 1.70 1.00
143 15 50 64.38 1.81 1.70 1.18
144 20 50 51.88 1.72 1.70 1.30
145 25 50 43.89 1.64 1.70 1.40
146 30 50 38.28 1.58 1.70 1.48
147 35 50 34.10 1.53 1.70 1.54
148 40 50 30.85 1.49 1.70 1.60
149 45 50 28.24 1.45 1.70 1.65
150 50 50 26.10 1.42 1.70 1.70
151 55 50 24.30 1.39 1.70 1.74
152 60 50 22.76 1.36 1.70 1.78
153 120 50 13.53 1.13 1.70 2.08
154 180 50 9.98 1.00 1.70 2.26
155 240 50 8.05 0.91 1.70 2.38
156 300 50 6.81 0.83 1.70 2.48
157 360 50 5.94 0.77 1.70 2.56
158 420 50 5.29 0.72 1.70 2.62
159 480 50 4.78 0.68 1.70 2.68
160 540 50 4.38 0.64 1.70 2.73
161 600 50 4.05 0.61 1.70 2.78
162 660 50 3.77 0.58 1.70 2.82
163 720 50 3.53 0.55 1.70 2.86
164 780 50 3.32 0.52 1.70 2.89
165 840 50 3.14 0.50 1.70 2.92
166 900 50 2.99 0.48 1.70 2.95
167 960 50 2.85 0.45 1.70 2.98
168 1020 50 2.72 0.43 1.70 3.01
169 1080 50 2.60 0.42 1.70 3.03
170 1140 50 2.50 0.40 1.70 3.06
171 1200 50 2.41 0.38 1.70 3.08
172 1260 50 2.32 0.37 1.70 3.10
173 1320 50 2.24 0.35 1.70 3.12
174 1380 50 2.17 0.34 1.70 3.14
175 1440 50 2.10 0.32 1.70 3.16
176 5 100 160.04 2.20 2.00 0.70
177 10 100 95.16 1.98 2.00 1.00
178 15 100 70.21 1.85 2.00 1.18
179 20 100 56.58 1.75 2.00 1.30
180 25 100 47.86 1.68 2.00 1.40
181 30 100 41.75 1.62 2.00 1.48
182 35 100 37.19 1.57 2.00 1.54
183 40 100 33.64 1.53 2.00 1.60
184 45 100 30.80 1.49 2.00 1.65
185 50 100 28.46 1.45 2.00 1.70
186 55 100 26.50 1.42 2.00 1.74
187 60 100 24.82 1.39 2.00 1.78
188 120 100 14.76 1.17 2.00 2.08
189 180 100 10.89 1.04 2.00 2.26
190 240 100 8.78 0.94 2.00 2.38
191 300 100 7.42 0.87 2.00 2.48
192 360 100 6.47 0.81 2.00 2.56
193 420 100 5.77 0.76 2.00 2.62
194 480 100 5.22 0.72 2.00 2.68
195 540 100 4.78 0.68 2.00 2.73
196 600 100 4.41 0.64 2.00 2.78
197 660 100 4.11 0.61 2.00 2.82
198 720 100 3.85 0.59 2.00 2.86
199 780 100 3.63 0.56 2.00 2.89
200 840 100 3.43 0.54 2.00 2.92
201 900 100 3.26 0.51 2.00 2.95
202 960 100 3.10 0.49 2.00 2.98
203 1020 100 2.96 0.47 2.00 3.01
204 1080 100 2.84 0.45 2.00 3.03
205 1140 100 2.73 0.44 2.00 3.06
206 1200 100 2.62 0.42 2.00 3.08
207 1260 100 2.53 0.40 2.00 3.10
208 1320 100 2.44 0.39 2.00 3.12
209 1380 100 2.36 0.37 2.00 3.14
210 1440 100 2.29 0.36 2.00 3.16
211 5 200 173.68 2.24 2.30 0.70
212 10 200 103.27 2.01 2.30 1.00
213 15 200 76.19 1.88 2.30 1.18
214 20 200 61.40 1.79 2.30 1.30
215 25 200 51.94 1.72 2.30 1.40
216 30 200 45.30 1.66 2.30 1.48
217 35 200 40.36 1.61 2.30 1.54
218 40 200 36.51 1.56 2.30 1.60
219 45 200 33.42 1.52 2.30 1.65
220 50 200 30.88 1.49 2.30 1.70
221 55 200 28.75 1.46 2.30 1.74
222 60 200 26.94 1.43 2.30 1.78
223 120 200 16.02 1.20 2.30 2.08
224 180 200 11.82 1.07 2.30 2.26
225 240 200 9.52 0.98 2.30 2.38
226 300 200 8.06 0.91 2.30 2.48
227 360 200 7.03 0.85 2.30 2.56
228 420 200 6.26 0.80 2.30 2.62
229 480 200 5.66 0.75 2.30 2.68
230 540 200 5.18 0.71 2.30 2.73
231 600 200 4.79 0.68 2.30 2.78
232 660 200 4.46 0.65 2.30 2.82
233 720 200 4.18 0.62 2.30 2.86
234 780 200 3.93 0.59 2.30 2.89
235 840 200 3.72 0.57 2.30 2.92
236 900 200 3.53 0.55 2.30 2.95
237 960 200 3.37 0.53 2.30 2.98
238 1020 200 3.22 0.51 2.30 3.01
239 1080 200 3.08 0.49 2.30 3.03
240 1140 200 2.96 0.47 2.30 3.06
241 1200 200 2.85 0.45 2.30 3.08
242 1260 200 2.75 0.44 2.30 3.10
243 1320 200 2.65 0.42 2.30 3.12
244 1380 200 2.56 0.41 2.30 3.14
245 1440 200 2.48 0.40 2.30 3.16
246 5 500 192.35 2.28 2.70 0.70
247 10 500 114.37 2.06 2.70 1.00
248 15 500 84.38 1.93 2.70 1.18
249 20 500 68.01 1.83 2.70 1.30
250 25 500 57.53 1.76 2.70 1.40
251 30 500 50.18 1.70 2.70 1.48
252 35 500 44.70 1.65 2.70 1.54
253 40 500 40.44 1.61 2.70 1.60
254 45 500 37.02 1.57 2.70 1.65
255 50 500 34.21 1.53 2.70 1.70
256 55 500 31.85 1.50 2.70 1.74
257 60 500 29.83 1.47 2.70 1.78
258 120 500 17.74 1.25 2.70 2.08
259 180 500 13.09 1.12 2.70 2.26
260 240 500 10.55 1.02 2.70 2.38
261 300 500 8.92 0.95 2.70 2.48
262 360 500 7.78 0.89 2.70 2.56
263 420 500 6.93 0.84 2.70 2.62
264 480 500 6.27 0.80 2.70 2.68
265 540 500 5.74 0.76 2.70 2.73
266 600 500 5.31 0.72 2.70 2.78
267 660 500 4.94 0.69 2.70 2.82
268 720 500 4.63 0.67 2.70 2.86
269 780 500 4.36 0.64 2.70 2.89
270 840 500 4.12 0.62 2.70 2.92
271 900 500 3.91 0.59 2.70 2.95
272 960 500 3.73 0.57 2.70 2.98
273 1020 500 3.56 0.55 2.70 3.01
274 1080 500 3.41 0.53 2.70 3.03
275 1140 500 3.28 0.52 2.70 3.06
276 1200 500 3.15 0.50 2.70 3.08
277 1260 500 3.04 0.48 2.70 3.10
278 1320 500 2.94 0.47 2.70 3.12
279 1380 500 2.84 0.45 2.70 3.14
280 1440 500 2.75 0.44 2.70 3.16
281 5 1000 207.06 2.32 3.00 0.70
282 10 1000 123.12 2.09 3.00 1.00
283 15 1000 90.84 1.96 3.00 1.18
284 20 1000 73.21 1.86 3.00 1.30
285 25 1000 61.93 1.79 3.00 1.40
286 30 1000 54.01 1.73 3.00 1.48
287 35 1000 48.11 1.68 3.00 1.54
288 40 1000 43.53 1.64 3.00 1.60
289 45 1000 39.85 1.60 3.00 1.65
290 50 1000 36.82 1.57 3.00 1.70
291 55 1000 34.28 1.54 3.00 1.74
292 60 1000 32.12 1.51 3.00 1.78
293 120 1000 19.10 1.28 3.00 2.08
294 180 1000 14.09 1.15 3.00 2.26
295 240 1000 11.35 1.06 3.00 2.38
296 300 1000 9.60 0.98 3.00 2.48
297 360 1000 8.38 0.92 3.00 2.56
298 420 1000 7.46 0.87 3.00 2.62
299 480 1000 6.75 0.83 3.00 2.68
300 540 1000 6.18 0.79 3.00 2.73
301 600 1000 5.71 0.76 3.00 2.78
302 660 1000 5.32 0.73 3.00 2.82
303 720 1000 4.98 0.70 3.00 2.86
304 780 1000 4.69 0.67 3.00 2.89
305 840 1000 4.44 0.65 3.00 2.92
306 900 1000 4.21 0.62 3.00 2.95
 307 960 1000 4.01 0.60 3.00 2.98
308 1020 1000 3.84 0.58 3.00 3.01
309 1080 1000 3.68 0.57 3.00 3.03
310 1140 1000 3.53 0.55 3.00 3.06
311 1200 1000 3.40 0.53 3.00 3.08
312 1260 1000 3.27 0.52 3.00 3.10
313 1320 1000 3.16 0.50 3.00 3.12
314 1380 1000 3.06 0.49 3.00 3.14
315 1440 1000 2.96 0.47 3.00 3.16
315 Suma= 290.00 528.39 735.82
duración Intensidad ∑Y ∑X1 ∑X2
Tiempo de
n (min) retorno(años) (mm/hr) k n m
d T I y=Log(I) x1=Log(T) x2=Log(d)

290.00 = 315 *A + 528.39 *B +

519.55 = 528.39 *A + 1119.97 *B +
553.26 = 735.82 *A + 1234.30 *B +

A= 2.4350 K= 272.2468
B= 0.1417 m= 0.1417
𝑰_𝒎𝒂𝒙= 〖 (𝑲×𝑻^
C= -0.7500 n= 0.7500 𝒎)/𝑫^𝒏 〗 ^
Y*X2 Y*X3 X2*X3 X2^2 X3^2

0.5778 1.3415 0.2104 0.0906 0.4886

0.5098 1.6935 0.3010 0.0906 1.0000
0.4700 1.8364 0.3540 0.0906 1.3832
0.4418 1.9096 0.3916 0.0906 1.6927
0.4200 1.9502 0.4208 0.0906 1.9542
0.4021 1.9730 0.4447 0.0906 2.1819
0.3870 1.9849 0.4648 0.0906 2.3841
0.3739 1.9897 0.4823 0.0906 2.5666
0.3623 1.9899 0.4977 0.0906 2.7331
0.3520 1.9866 0.5114 0.0906 2.8865
0.3427 1.9810 0.5239 0.0906 3.0289
0.3341 1.9736 0.5353 0.0906 3.1618
0.2662 1.8383 0.6259 0.0906 4.3230
0.2264 1.6962 0.6789 0.0906 5.0863
0.1982 1.5671 0.7165 0.0906 5.6654
0.1763 1.4508 0.7457 0.0906 6.1361
0.1584 1.3454 0.7695 0.0906 6.5347
0.1433 1.2489 0.7897 0.0906 6.8814
0.1302 1.1599 0.8071 0.0906 7.1891
0.1187 1.0772 0.8225 0.0906 7.4660
0.1083 0.9999 0.8363 0.0906 7.7181
0.0990 0.9273 0.8488 0.0906 7.9498
0.0905 0.8587 0.8601 0.0906 8.1643
0.0826 0.7938 0.8706 0.0906 8.3642
0.0754 0.7320 0.8803 0.0906 8.5514
0.0686 0.6731 0.8893 0.0906 8.7275
0.0623 0.6168 0.8978 0.0906 8.8939
0.0563 0.5629 0.9057 0.0906 9.0517
0.0507 0.5110 0.9132 0.0906 9.2017
0.0454 0.4612 0.9202 0.0906 9.3447
0.0404 0.4131 0.9269 0.0906 9.4814
0.0356 0.3667 0.9333 0.0906 9.6123
0.0310 0.3218 0.9394 0.0906 9.7380
0.0267 0.2783 0.9452 0.0906 9.8588
0.0225 0.2361 0.9508 0.0906 9.9753
1.4070 1.4070 0.4886 0.4886 0.4886
1.2492 1.7872 0.6990 0.4886 1.0000
1.1569 1.9466 0.8221 0.4886 1.3832
1.0914 2.0315 0.9094 0.4886 1.6927
1.0406 2.0812 0.9771 0.4886 1.9542
0.9991 2.1114 1.0325 0.4886 2.1819
0.9640 2.1295 1.0793 0.4886 2.3841
0.9336 2.1398 1.1198 0.4886 2.5666
0.9068 2.1447 1.1555 0.4886 2.7331
0.8828 2.1458 1.1875 0.4886 2.8865
0.8611 2.1440 1.2165 0.4886 3.0289
0.8413 2.1402 1.2429 0.4886 3.1618
0.6835 2.0331 1.4533 0.4886 4.3230
0.5912 1.9074 1.5764 0.4886 5.0863
0.5257 1.7901 1.6637 0.4886 5.6654
0.4749 1.6829 1.7314 0.4886 6.1361
0.4334 1.5849 1.7868 0.4886 6.5347
0.3983 1.4947 1.8336 0.4886 6.8814
0.3679 1.4111 1.8741 0.4886 7.1891
0.3410 1.3332 1.9099 0.4886 7.4660
0.3171 1.2602 1.9418 0.4886 7.7181
0.2954 1.1914 1.9708 0.4886 7.9498
0.2755 1.1264 1.9972 0.4886 8.1643
0.2573 1.0647 2.0215 0.4886 8.3642
0.2404 1.0060 2.0440 0.4886 8.5514
0.2247 0.9499 2.0649 0.4886 8.7275
0.2100 0.8962 2.0845 0.4886 8.8939
0.1962 0.8447 2.1029 0.4886 9.0517
0.1832 0.7952 2.1203 0.4886 9.2017
0.1709 0.7475 2.1367 0.4886 9.3447
0.1592 0.7015 2.1523 0.4886 9.4814
0.1481 0.6571 2.1671 0.4886 9.6123
0.1375 0.6141 2.1812 0.4886 9.7380
0.1274 0.5724 2.1947 0.4886 9.8588
0.1177 0.5320 2.2076 0.4886 9.9753
2.0661 1.4442 0.6990 1.0000 0.4886
1.8404 1.8404 1.0000 1.0000 1.0000
1.7083 2.0091 1.1761 1.0000 1.3832
1.6146 2.1006 1.3010 1.0000 1.6927
1.5419 2.1555 1.3979 1.0000 1.9542
1.4825 2.1899 1.4771 1.0000 2.1819
1.4323 2.2116 1.5441 1.0000 2.3841
1.3888 2.2250 1.6021 1.0000 2.5666
1.3505 2.2326 1.6532 1.0000 2.7331
1.3161 2.2361 1.6990 1.0000 2.8865
1.2851 2.2365 1.7404 1.0000 3.0289
1.2567 2.2347 1.7782 1.0000 3.1618
1.0310 2.1436 2.0792 1.0000 4.3230
0.8989 2.0273 2.2553 1.0000 5.0863
0.8052 1.9165 2.3802 1.0000 5.6654
0.7325 1.8145 2.4771 1.0000 6.1361
0.6731 1.7207 2.5563 1.0000 6.5347
0.6229 1.6341 2.6232 1.0000 6.8814
0.5794 1.5536 2.6812 1.0000 7.1891
0.5411 1.4784 2.7324 1.0000 7.4660
0.5067 1.4078 2.7782 1.0000 7.7181
0.4757 1.3413 2.8195 1.0000 7.9498
0.4474 1.2783 2.8573 1.0000 8.1643
0.4213 1.2184 2.8921 1.0000 8.3642
0.3972 1.1614 2.9243 1.0000 8.5514
0.3747 1.1069 2.9542 1.0000 8.7275
0.3537 1.0547 2.9823 1.0000 8.8939
0.3339 1.0046 3.0086 1.0000 9.0517
0.3153 0.9564 3.0334 1.0000 9.2017
0.2977 0.9100 3.0569 1.0000 9.3447
0.2810 0.8652 3.0792 1.0000 9.4814
0.2651 0.8219 3.1004 1.0000 9.6123
0.2499 0.7799 3.1206 1.0000 9.7380
0.2355 0.7393 3.1399 1.0000 9.8588
0.2216 0.6999 3.1584 1.0000 9.9753
2.9721 1.4860 0.9771 1.9542 0.4886
2.6565 1.9003 1.3979 1.9542 1.0000
2.4718 2.0796 1.6441 1.9542 1.3832
2.3409 2.1786 1.8188 1.9542 1.6927
2.2392 2.2392 1.9542 1.9542 1.9542
2.1562 2.2784 2.0649 1.9542 2.1819
2.0860 2.3041 2.1585 1.9542 2.3841
2.0252 2.3210 2.2396 1.9542 2.5666
1.9716 2.3316 2.3111 1.9542 2.7331
1.9236 2.3379 2.3751 1.9542 2.8865
1.8802 2.3408 2.4329 1.9542 3.0289
1.8406 2.3412 2.4857 1.9542 3.1618
1.5250 2.2682 2.9066 1.9542 4.3230
1.3404 2.1624 3.1527 1.9542 5.0863
1.2094 2.0592 3.3274 1.9542 5.6654
1.1078 1.9630 3.4629 1.9542 6.1361
1.0248 1.8739 3.5736 1.9542 6.5347
0.9546 1.7913 3.6671 1.9542 6.8814
0.8938 1.7142 3.7482 1.9542 7.1891
0.8401 1.6421 3.8197 1.9542 7.4660
0.7922 1.5743 3.8837 1.9542 7.7181
0.7488 1.5102 3.9416 1.9542 7.9498
0.7091 1.4495 3.9944 1.9542 8.1643
0.6727 1.3917 4.0430 1.9542 8.3642
0.6390 1.3366 4.0880 1.9542 8.5514
0.6075 1.2839 4.1299 1.9542 8.7275
0.5781 1.2334 4.1690 1.9542 8.8939
0.5505 1.1849 4.2058 1.9542 9.0517
0.5245 1.1382 4.2405 1.9542 9.2017
0.4999 1.0931 4.2734 1.9542 9.3447
0.4765 1.0497 4.3045 1.9542 9.4814
0.4543 1.0076 4.3341 1.9542 9.6123
0.4331 0.9669 4.3624 1.9542 9.7380
0.4129 0.9274 4.3894 1.9542 9.8588
0.3935 0.8891 4.4152 1.9542 9.9753
3.6809 1.5144 1.1875 2.8865 0.4886
3.2973 1.9408 1.6990 2.8865 1.0000
3.0730 2.1272 1.9981 2.8865 1.3832
2.9138 2.2313 2.2104 2.8865 1.6927
2.7903 2.2959 2.3751 2.8865 1.9542
2.6894 2.3382 2.5096 2.8865 2.1819
2.6041 2.3667 2.6233 2.8865 2.3841
2.5302 2.3859 2.7219 2.8865 2.5666
2.4650 2.3986 2.8088 2.8865 2.7331
2.4067 2.4067 2.8865 2.8865 2.8865
2.3540 2.4113 2.9568 2.8865 3.0289
2.3058 2.4133 3.0210 2.8865 3.1618
1.9222 2.3524 3.5325 2.8865 4.3230
1.6978 2.2538 3.8316 2.8865 5.0863
1.5386 2.1556 4.0439 2.8865 5.6654
1.4152 2.0633 4.2086 2.8865 6.1361
1.3143 1.9775 4.3431 2.8865 6.5347
1.2290 1.8975 4.4568 2.8865 6.8814
1.1551 1.8229 4.5553 2.8865 7.1891
1.0899 1.7528 4.6423 2.8865 7.4660
1.0316 1.6868 4.7200 2.8865 7.7181
0.9788 1.6244 4.7903 2.8865 7.9498
0.9307 1.5652 4.8545 2.8865 8.1643
0.8864 1.5089 4.9136 2.8865 8.3642
0.8454 1.4551 4.9683 2.8865 8.5514
0.8072 1.4036 5.0192 2.8865 8.7275
0.7715 1.3542 5.0668 2.8865 8.8939
0.7379 1.3068 5.1115 2.8865 9.0517
0.7063 1.2611 5.1537 2.8865 9.2017
0.6764 1.2170 5.1936 2.8865 9.3447
0.6480 1.1744 5.2314 2.8865 9.4814
0.6210 1.1332 5.2674 2.8865 9.6123
0.5952 1.0933 5.3018 2.8865 9.7380
0.5707 1.0546 5.3346 2.8865 9.8588
0.5471 1.0170 5.3660 2.8865 9.9753
4.4085 1.5407 1.3979 4.0000 0.4886
3.9569 1.9785 2.0000 4.0000 1.0000
3.6928 2.1715 2.3522 4.0000 1.3832
3.5054 2.2803 2.6021 4.0000 1.6927
3.3600 2.3485 2.7959 4.0000 1.9542
3.2412 2.3939 2.9542 4.0000 2.1819
3.1408 2.4248 3.0881 4.0000 2.3841
3.0538 2.4462 3.2041 4.0000 2.5666
2.9771 2.4609 3.3064 4.0000 2.7331
2.9085 2.4707 3.3979 4.0000 2.8865
2.8464 2.4769 3.4807 4.0000 3.0289
2.7897 2.4803 3.5563 4.0000 3.1618
2.3382 2.4307 4.1584 4.0000 4.3230
2.0740 2.3387 4.5105 4.0000 5.0863
1.8866 2.2453 4.7604 4.0000 5.6654
1.7412 2.1566 4.9542 4.0000 6.1361
1.6225 2.0738 5.1126 4.0000 6.5347
1.5220 1.9964 5.2465 4.0000 6.8814
1.4351 1.9239 5.3625 4.0000 7.1891
1.3583 1.8557 5.4648 4.0000 7.4660
1.2897 1.7915 5.5563 4.0000 7.7181
1.2276 1.7306 5.6391 4.0000 7.9498
1.1709 1.6729 5.7147 4.0000 8.1643
1.1188 1.6178 5.7842 4.0000 8.3642
1.0705 1.5652 5.8486 4.0000 8.5514
1.0256 1.5149 5.9085 4.0000 8.7275
0.9835 1.4666 5.9645 4.0000 8.8939
0.9440 1.4201 6.0172 4.0000 9.0517
0.9068 1.3753 6.0668 4.0000 9.2017
0.8716 1.3321 6.1138 4.0000 9.3447
0.8382 1.2904 6.1584 4.0000 9.4814
0.8064 1.2500 6.2007 4.0000 9.6123
0.7761 1.2109 6.2411 4.0000 9.7380
0.7471 1.1729 6.2798 4.0000 9.8588
0.7194 1.1360 6.3167 4.0000 9.9753
5.1537 1.5655 1.6084 5.2947 0.4886
4.6342 2.0140 2.3010 5.2947 1.0000
4.3303 2.2133 2.7062 5.2947 1.3832
4.1147 2.3265 2.9937 5.2947 1.6927
3.9474 2.3982 3.2167 5.2947 1.9542
3.8108 2.4463 3.3989 5.2947 2.1819
3.6953 2.4796 3.5529 5.2947 2.3841
3.5952 2.5031 3.6864 5.2947 2.5666
3.5069 2.5196 3.8041 5.2947 2.7331
3.4279 2.5310 3.9094 5.2947 2.8865
3.3565 2.5387 4.0046 5.2947 3.0289
3.2913 2.5434 4.0916 5.2947 3.1618
2.7718 2.5045 4.7843 5.2947 4.3230
2.4679 2.4188 5.1894 5.2947 5.0863
2.2523 2.3298 5.4769 5.2947 5.6654
2.0850 2.2446 5.6999 5.2947 6.1361
1.9484 2.1645 5.8821 5.2947 6.5347
1.8328 2.0895 6.0362 5.2947 6.8814
1.7328 2.0191 6.1696 5.2947 7.1891
1.6445 1.9528 6.2873 5.2947 7.4660
1.5655 1.8901 6.3926 5.2947 7.7181
1.4941 1.8308 6.4879 5.2947 7.9498
1.4289 1.7743 6.5748 5.2947 8.1643
1.3689 1.7205 6.6548 5.2947 8.3642
1.3133 1.6691 6.7289 5.2947 8.5514
1.2616 1.6198 6.7978 5.2947 8.7275
1.2133 1.5724 6.8623 5.2947 8.8939
1.1678 1.5269 6.9229 5.2947 9.0517
1.1250 1.4830 6.9800 5.2947 9.2017
1.0845 1.4407 7.0340 5.2947 9.3447
1.0460 1.3997 7.0853 5.2947 9.4814
1.0094 1.3601 7.1340 5.2947 9.6123
0.9746 1.3217 7.1805 5.2947 9.7380
0.9413 1.2844 7.2250 5.2947 9.8588
0.9094 1.2482 7.2675 5.2947 9.9753
6.1647 1.5965 1.8865 7.2844 0.4886
5.5554 2.0583 2.6990 7.2844 1.0000
5.1989 2.2655 3.1742 7.2844 1.3832
4.9460 2.3842 3.5114 7.2844 1.6927
4.7499 2.4602 3.7730 7.2844 1.9542
4.5896 2.5118 3.9867 7.2844 2.1819
4.4541 2.5481 4.1674 7.2844 2.3841
4.3367 2.5742 4.3239 7.2844 2.5666
4.2331 2.5929 4.4620 7.2844 2.7331
4.1405 2.6064 4.5855 7.2844 2.8865
4.0567 2.6159 4.6972 7.2844 3.0289
3.9802 2.6223 4.7992 7.2844 3.1618
3.3709 2.5968 5.6116 7.2844 4.3230
3.0144 2.5189 6.0869 7.2844 5.0863
2.7615 2.4354 6.4241 7.2844 5.6654
2.5653 2.3545 6.6857 7.2844 6.1361
2.4051 2.2779 6.8994 7.2844 6.5347
2.2695 2.2059 7.0801 7.2844 6.8814
2.1522 2.1380 7.2366 7.2844 7.1891
2.0486 2.0740 7.3746 7.2844 7.4660
1.9560 2.0134 7.4981 7.2844 7.7181
1.8722 1.9558 7.6099 7.2844 7.9498
1.7957 1.9011 7.7119 7.2844 8.1643
1.7253 1.8488 7.8057 7.2844 8.3642
1.6602 1.7988 7.8925 7.2844 8.5514
1.5995 1.7508 7.9734 7.2844 8.7275
1.5428 1.7047 8.0491 7.2844 8.8939
1.4895 1.6604 8.1201 7.2844 9.0517
1.4393 1.6176 8.1871 7.2844 9.2017
1.3917 1.5763 8.2505 7.2844 9.3447
1.3466 1.5363 8.3106 7.2844 9.4814
1.3037 1.4976 8.3678 7.2844 9.6123
1.2628 1.4601 8.4223 7.2844 9.7380
1.2238 1.4237 8.4744 7.2844 9.8588
1.1864 1.3883 8.5243 7.2844 9.9753
6.9483 1.6189 2.0969 9.0000 0.4886
6.2710 2.0903 3.0000 9.0000 1.0000
5.8748 2.3031 3.5283 9.0000 1.3832
5.5937 2.4258 3.9031 9.0000 1.6927
5.3756 2.5049 4.1938 9.0000 1.9542
5.1975 2.5591 4.4314 9.0000 2.1819
5.0468 2.5975 4.6322 9.0000 2.3841
4.9163 2.6254 4.8062 9.0000 2.5666
4.8013 2.6458 4.9596 9.0000 2.7331
4.6983 2.6608 5.0969 9.0000 2.8865
4.6052 2.6716 5.2211 9.0000 3.0289
4.5201 2.6792 5.3345 9.0000 3.1618
3.8428 2.6633 6.2375 9.0000 4.3230
3.4466 2.5910 6.7658 9.0000 5.0863
3.1655 2.5115 7.1406 9.0000 5.6654
2.9475 2.4337 7.4314 9.0000 6.1361
2.7693 2.3597 7.6689 9.0000 6.5347
2.6187 2.2898 7.8697 9.0000 6.8814
2.4882 2.2238 8.0437 9.0000 7.1891
2.3731 2.1614 8.1972 9.0000 7.4660
2.2701 2.1023 8.3345 9.0000 7.7181
2.1770 2.0461 8.4586 9.0000 7.9498
2.0920 1.9925 8.5720 9.0000 8.1643
2.0138 1.9413 8.6763 9.0000 8.3642
1.9414 1.8924 8.7728 9.0000 8.5514
1.8739 1.8454 8.8627 9.0000 8.7275
 1.8109 1.8002 8.9468 9.0000 8.8939
1.7516 1.7567 9.0258 9.0000 9.0517
1.6958 1.7147 9.1003 9.0000 9.2017
1.6429 1.6741 9.1707 9.0000 9.3447
1.5928 1.6349 9.2375 9.0000 9.4814
1.5451 1.5968 9.3011 9.0000 9.6123
1.4997 1.5600 9.3617 9.0000 9.7380
1.4563 1.5242 9.4196 9.0000 9.8588
1.4147 1.4893 9.4751 9.0000 9.9753
519.55 553.26 1234.30 1119.97 1884.39
∑Y*X1 ∑Y*X2 ∑X1*X2 ∑X1^2 ∑X2^2

735.82 *C
1234.30 *C
1884.39 *C

〖 (𝑲×𝑻^
〗^
Resumen

Estadísticas de la regresión
Coeficiente de correlación múltiple 0.99955906
Coeficiente de determinación R^2 0.99911832
R^2 ajustado 0.99911267
Error típico 0.01663238
Observaciones 315

ANÁLISIS DE VARIANZA
Grados de libertad
Suma de cuadrados
Regresión 2 97.8072764
Residuos 312 0.08631042
Total 314 97.8935869

Coeficientes Error típico

Intercepción 2.43496285 0.00365081
Variable X 1 0.14165814 0.00108816
Variable X 2 -0.75 0.0012927
Promedio de los cuadradosF Valor crítico de F
48.9036382 176779.764 0
0.00027664

Estadístico t Probabilidad Inferior 95% Superior 95%Inferior 95.0%

Superior 95.0%
666.96518 0 2.42777953 2.44214617 2.42777953 2.44214617
130.180927 5.9134E-274 0.13951707 0.14379921 0.13951707 0.14379921
-580.183122 0 -0.7525435 -0.7474565 -0.7525435 -0.7474565
 K= 272.2468 Imax =intensidad máxim
m= 0.1417 𝑰_𝒎𝒂𝒙= 〖 (𝑲×𝑻^ T = periodo de retorno, e
n= 0.7500 𝒎)/𝑫^𝒏 〗 ^ D = duración, en minutos

Periodo de Retorno (Años)

Duracion Duracion
(Horas) (min)
2 5 10 25 50
Intensidades Maximas (mm/hr)
0.083 5 89.82 102.27 112.82 128.46 141.71
0.167 10 53.41 60.81 67.08 76.38 84.26
0.250 15 39.40 44.87 49.49 56.35 62.17
0.333 20 31.76 36.16 39.89 45.42 50.10
0.417 25 26.86 30.59 33.74 38.42 42.38
0.500 30 23.43 26.68 29.43 33.51 36.97
0.583 35 20.87 23.76 26.22 29.85 32.93
0.667 40 18.88 21.50 23.72 27.01 29.79
0.750 45 17.29 19.68 21.71 24.72 27.27
0.833 50 15.97 18.19 20.06 22.84 25.20
0.917 55 14.87 16.93 18.68 21.27 23.46
1.000 60 13.93 15.86 17.50 19.92 21.98
2.000 120 8.28 9.43 10.40 11.85 13.07
3.000 180 6.11 6.96 7.68 8.74 9.64
4.000 240 4.93 5.61 6.19 7.04 7.77
5.000 300 4.17 4.74 5.23 5.96 6.57
6.000 360 3.63 4.14 4.56 5.20 5.73
7.000 420 3.24 3.69 4.07 4.63 5.11
8.000 480 2.93 3.33 3.68 4.19 4.62
9.000 540 2.68 3.05 3.37 3.83 4.23
10.000 600 2.48 2.82 3.11 3.54 3.91
11.000 660 2.31 2.63 2.90 3.30 3.64
12.000 720 2.16 2.46 2.71 3.09 3.41
13.000 780 2.03 2.32 2.56 2.91 3.21
14.000 840 1.92 2.19 2.42 2.75 3.04
15.000 900 1.83 2.08 2.30 2.61 2.88
16.000 960 1.74 1.98 2.19 2.49 2.75
17.000 1020 1.66 1.89 2.09 2.38 2.63
18.000 1080 1.59 1.82 2.00 2.28 2.52
19.000 1140 1.53 1.74 1.92 2.19 2.42
20.000 1200 1.47 1.68 1.85 2.11 2.32
21.000 1260 1.42 1.62 1.78 2.03 2.24
22.000 1320 1.37 1.56 1.72 1.96 2.16
23.000 1380 1.33 1.51 1.67 1.90 2.09
24.000 1440 1.28 1.46 1.61 1.84 2.03
Imax =intensidad máxima de lluvia, en mm/hr
T = periodo de retorno, en años
D = duración, en minutos

e Retorno (Años)

100 200 500 1000

s Maximas (mm/hr)
156.33 172.46 196.37 216.63
92.96 102.55 116.76 128.81
68.58 75.66 86.14 95.03
55.27 60.97 69.43 76.59 250.00
46.75 51.58 58.73 64.79
40.78 44.99 51.22 56.51
36.33 40.07 45.63 50.34 200.00
32.87 36.26 41.28 45.54

Intensidades Maximas (mm/hr)

30.09 33.19 37.79 41.69
27.80 30.67 34.92 38.52
150.00
25.88 28.55 32.51 35.86
24.25 26.75 30.46 33.60
14.42 15.91 18.11 19.98
10.64 11.73 13.36 14.74 100.00
8.57 9.46 10.77 11.88
7.25 8.00 9.11 10.05
6.32 6.98 7.94 8.76 50.00
5.63 6.22 7.08 7.81
5.10 5.62 6.40 7.06
4.67 5.15 5.86 6.47
4.31 4.76 5.42 5.97 0.00
0 200 400
4.01 4.43 5.04 5.56
3.76 4.15 4.72 5.21
3.54 3.91 4.45 4.91
3.35 3.70 4.21 4.64 T=2 años
3.18 3.51 4.00 4.41 T=100 año
3.03 3.34 3.81 4.20
2.90 3.20 3.64 4.01
2.77 3.06 3.49 3.84
2.66 2.94 3.35 3.69
2.56 2.83 3.22 3.55
2.47 2.73 3.10 3.42
2.39 2.63 3.00 3.31
2.31 2.55 2.90 3.20
2.24 2.47 2.81 3.10
 Curvas Intensidad-Duración-Frecuencia (I-D-F)

200 400 600 800 1000 1200 1400

Duracion (min)

T=2 años T=5 años T=10 años T=20 años T=50 años
T=100 años T=200 años T=500 años T=1000 años
0 1400 1600
 Periodo de Retorno (Año
Duracion Duracion
(Horas) (min)
2 5 10 20
Intensidades Maximas (mm
0.083 5 90.00 102.43 112.95 124.56
0.167 10 53.52 60.90 67.16 74.06
0.250 15 39.48 44.93 49.55 54.64
0.333 20 31.82 36.21 39.93 44.04
0.417 25 26.92 30.63 33.78 37.25
0.500 30 23.48 26.72 29.46 32.49
0.583 35 20.91 23.80 26.25 28.94
0.667 40 18.92 21.53 23.75 26.19
0.750 45 17.32 19.71 21.74 23.97
0.833 50 16.01 18.21 20.09 22.15
0.917 55 14.90 16.96 18.70 20.62
1.000 60 13.96 15.89 17.52 19.32
2.000 120 8.30 9.45 10.42 11.49
3.000 180 6.12 6.97 7.69 8.48
4.000 240 4.94 5.62 6.19 6.83
5.000 300 4.18 4.75 5.24 5.78
6.000 360 3.64 4.14 4.57 5.04
7.000 420 3.24 3.69 4.07 4.49
8.000 480 2.93 3.34 3.68 4.06
9.000 540 2.69 3.06 3.37 3.72
10.000 600 2.48 2.83 3.12 3.44
11.000 660 2.31 2.63 2.90 3.20
12.000 720 2.17 2.46 2.72 3.00
13.000 780 2.04 2.32 2.56 2.82
14.000 840 1.93 2.20 2.42 2.67
15.000 900 1.83 2.08 2.30 2.53
16.000 960 1.75 1.99 2.19 2.42
17.000 1020 1.67 1.90 2.09 2.31
18.000 1080 1.60 1.82 2.00 2.21
19.000 1140 1.53 1.75 1.93 2.12
20.000 1200 1.48 1.68 1.85 2.04
21.000 1260 1.42 1.62 1.79 1.97
22.000 1320 1.37 1.56 1.72 1.90
23.000 1380 1.33 1.51 1.67 1.84
24.000 1440 1.29 1.47 1.62 1.78
 Periodo de Retorno (Años)

50 100 200 500 1000

Intensidades Maximas (mm/hr)
141.75 156.31 172.38 196.17 216.32
84.29 92.95 102.50 116.64 128.63
62.19 68.57 75.62 86.06 94.90
50.12 55.27 60.95 69.36 76.48
42.39 46.75 51.55 58.67 64.70
36.98 40.78 44.97 51.17 56.43
32.94 36.32 40.06 45.58 50.27
29.80 32.86 36.24 41.24 45.48
27.28 30.08 33.18 37.75 41.63
25.21 27.80 30.65 34.89 38.47
23.47 25.88 28.54 32.48 35.82
21.99 24.25 26.74 30.43 33.55
13.07 14.42 15.90 18.09 19.95
9.65 10.64 11.73 13.35 14.72
7.77 8.57 9.45 10.76 11.86
6.58 7.25 8.00 9.10 10.04
5.74 6.32 6.97 7.94 8.75
5.11 5.63 6.21 7.07 7.80
4.62 5.10 5.62 6.40 7.05
4.23 4.67 5.15 5.86 6.46
3.91 4.31 4.75 5.41 5.97
3.64 4.01 4.43 5.04 5.56
3.41 3.76 4.15 4.72 5.20
3.21 3.54 3.91 4.44 4.90
3.04 3.35 3.69 4.20 4.64
2.88 3.18 3.51 3.99 4.40
2.75 3.03 3.34 3.80 4.19
2.63 2.90 3.19 3.63 4.01
2.52 2.77 3.06 3.48 3.84
2.42 2.66 2.94 3.34 3.69
2.32 2.56 2.83 3.22 3.55
2.24 2.47 2.73 3.10 3.42
2.16 2.39 2.63 3.00 3.30
2.09 2.31 2.55 2.90 3.20
2.03 2.24 2.47 2.81 3.09
name centroid_x centroid_y area_sqkm latitude longitude basinid
SU1 518843.774 8574535.78 56.9648914 -12.8943998 -74.8263041 0

PERIODO DE RETORNO

Vida útil de la obra n_util = 20.00 años

Probabilidad de que la precipitación

p_T = 82%
sea excedida en T años

Riesgo de falla r_T = 18%

Período de retorno T= 100.00

Tiempo de Concentracion Por Kirpich

Pendiente del cause S= 2.55%

Longitud del cause principal L= 16.01 km

Tiempor de Concentarcion Tc = 2.30 hrs

perimtr_km Lng_cue_km lng riuo princcotamax_rio cotamin_rio
58.368972 12.346071 16.0118592 4412 4004
 MÉTODO DE LOS BLOQUES ALTERNOS [Tr = 25 años]
Profundidad Profundidad
Duración Duración Intensidad
acumulada incremental Tiempo (min)
(hrs) (min) (mm/hr)
(mm) (mm)
0.08 5 128.459 10.705 10.705 0 5
0.17 10 76.382 12.730 2.025 5 10
0.25 15 56.354 14.088 1.358 10 15
0.33 20 45.417 15.139 1.051 15 20
0.42 25 38.418 16.008 0.869 20 25
0.50 30 33.508 16.754 0.747 25 30
0.58 35 29.850 17.412 0.658 30 35
0.67 40 27.005 18.003 0.591 35 40
0.75 45 24.722 18.541 0.538 40 45
0.83 50 22.844 19.036 0.495 45 50
0.92 55 21.268 19.495 0.459 50 55
1.00 60 19.924 19.924 0.429 55 60
2.00 120 11.847 23.694 3.770 60 120
3.00 180 8.741 26.222 2.528 120 180
4.00 240 7.044 28.177 1.955 180 240
5.00 300 5.959 29.793 1.617 240 300
6.00 360 5.197 31.183 1.389 300 360
7.00 420 4.630 32.408 1.225 360 420
8.00 480 4.189 33.508 1.100 420 480
9.00 540 3.834 34.510 1.001 480 540
10.00 600 3.543 35.431 0.921 540 600
11.00 660 3.299 36.285 0.854 600 660
12.00 720 3.090 37.083 0.798 660 720
13.00 780 2.910 37.832 0.750 720 780
14.00 840 2.753 38.540 0.707 780 840
15.00 900 2.614 39.210 0.671 840 900
16.00 960 2.491 39.848 0.638 900 960
17.00 1020 2.380 40.457 0.609 960 1020
18.00 1080 2.280 41.039 0.582 1020 1080
19.00 1140 2.189 41.598 0.558 1080 1140
20.00 1200 2.107 42.134 0.537 1140 1200
21.00 1260 2.031 42.651 0.517 1200 1260
22.00 1320 1.961 43.150 0.499 1260 1320
23.00 1380 1.897 43.633 0.482 1320 1380
24.00 1440 1.837 44.099 0.467 1380 1440
años]

Precipitación CURVA INTENSIDAD-DURACION-FRECUENCIA

i
(mm)

0.429 35 I: Intensidad máxima (mm/h)

0.467 33 T: Período de retorno en años 25.00
0.495 31 t: Duración de la precipitación (min)
0.517 29
0.538 27
0.582 25
Hietograma para Tr=25 años
0.609 23
12.000
0.658 21
0.707 19
0.750 17 10.000

0.854 15
0.921 13 8.000
1.051 11
1.225 9 6.000
1.389 7
1.955 5
4.000
2.528 3
10.705 1
3.770 2 2.000
2.025 4
1.617 6 0.000
5

1020
1080
1140
1200
1260
10
15
20
25
30
35
40
45
50
55
60
120
180
240
300
360
420
480
540
600
660
720
780
840
900
960
1.358 8
1.100 10 0 5 10 15 20 25 30 35 40 45 50 55 60 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96 10 10 11 12
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 80 40 00
1.001 12
0.869 14
0.798 16
0.747 18
0.671 20
0.638 22
0.591 24
0.558 26
0.537 28
0.499 30
0.482 32
0.459 34
 Hietogramas - Modelo D

Duración Tr = 2 años Tr = 5 años Tr = 10 años

5 0.30 0.34 0.38
años 10 0.33 0.37 0.41
15 0.35 0.39 0.44
20 0.36 0.41 0.45
25 0.38 0.43 0.47
30 0.41 0.46 0.51
Tr=25 años 0.43 0.49 0.54
35
40 0.46 0.52 0.58
45 0.50 0.56 0.62
50 0.53 0.60 0.66
55 0.60 0.68 0.75
60 0.65 0.73 0.81
120 0.74 0.84 0.92
180 0.86 0.98 1.08
240 0.97 1.11 1.22
300 1.37 1.56 1.72
360 1.77 2.02 2.22
420 7.50 8.54 9.41
480 2.64 3.01 3.32
540 1.42 1.62 1.78
600 1.13 1.29 1.42
1020
1080
1140
1200
1260
1320
1380
1440
480
540
600
660
720
780
840
900
960

660 0.95 1.08 1.19

6 42 48 54 60 66 72 78 84 90 96 10 10 11 12 12 13 13 720 0.77 0.88 0.97
0 0 0 0 0 0 0 0 0 0 0 20 80 40 00 60 20 80
780 0.70 0.80 0.88
840 0.61 0.69 0.76
900 0.56 0.64 0.70
960 0.52 0.60 0.66
1020 0.47 0.53 0.59
1080 0.45 0.51 0.56
1140 0.41 0.47 0.52
1200 0.39 0.45 0.49
1260 0.38 0.43 0.47
1320 0.35 0.40 0.44
1380 0.34 0.38 0.42
1440 0.32 0.37 0.40
Hietogramas - Modelo Dyck -Peschke

Tr = 25 años Tr = 50 años Tr = 100 años Tr = 200 años Tr = 500 años Tr = 1000 años
0.43 0.47 0.52 0.58 0.65 0.72
0.47 0.52 0.57 0.63 0.71 0.79
0.49 0.55 0.60 0.66 0.76 0.83
0.52 0.57 0.63 0.69 0.79 0.87
0.54 0.59 0.65 0.72 0.82 0.91
0.58 0.64 0.71 0.78 0.89 0.98
0.61 0.67 0.74 0.82 0.93 1.02
0.66 0.73 0.80 0.88 1.01 1.11
0.71 0.78 0.86 0.95 1.08 1.19
0.75 0.83 0.91 1.01 1.14 1.26
0.85 0.94 1.04 1.15 1.30 1.44
0.92 1.02 1.12 1.24 1.41 1.55
1.05 1.16 1.28 1.41 1.60 1.77
1.23 1.35 1.49 1.64 1.87 2.06
1.39 1.53 1.69 1.86 2.12 2.34
1.96 2.16 2.38 2.62 2.99 3.29
2.53 2.79 3.08 3.39 3.86 4.26
10.70 11.81 13.03 14.36 16.35 18.03
3.77 4.16 4.59 5.06 5.76 6.35
2.03 2.24 2.46 2.72 3.09 3.41
1.62 1.78 1.97 2.17 2.47 2.72
1.36 1.50 1.65 1.82 2.07 2.29
1.10 1.21 1.34 1.48 1.68 1.85
1.00 1.11 1.22 1.34 1.53 1.69
0.87 0.96 1.06 1.17 1.33 1.46
0.80 0.88 0.97 1.07 1.22 1.34
0.75 0.82 0.91 1.00 1.14 1.26
0.67 0.74 0.82 0.90 1.02 1.13
0.64 0.70 0.78 0.86 0.97 1.07
0.59 0.65 0.72 0.79 0.90 1.00
0.56 0.62 0.68 0.75 0.85 0.94
0.54 0.59 0.65 0.72 0.82 0.90
0.50 0.55 0.61 0.67 0.76 0.84
0.48 0.53 0.59 0.65 0.74 0.81
0.46 0.51 0.56 0.62 0.70 0.77
 UMBRAL DE ESCORRENTÍA O ABSTRACCIÓN
CN:
Po=5080/CN - 50.8
75.00 Num
S= 84.667 Ptotal 44.099 Den
Ia= 16.933

HIETOGRAMA DE PRECIPITACIÓN EFECTIVA

Abstracciones (mm)
Duración Duración Precipitación Precipitación
(hrs) (min) ordenada (mm) acumulada (mm)
Ia_o (abstr. Fa (abstr.
Inicial) continuada)
0.08 5 0.429 0.429 0.429 0.000
0.17 10 0.467 0.895 0.895 0.000
0.25 15 0.495 1.390 1.390 0.000
0.33 20 0.517 1.907 1.907 0.000
0.42 25 0.538 2.445 2.445 0.000
0.50 30 0.582 3.028 3.028 0.000
0.58 35 0.609 3.636 3.636 0.000
0.67 40 0.658 4.294 4.294 0.000
0.75 45 0.707 5.002 5.002 0.000
0.83 50 0.750 5.751 5.751 0.000
0.92 55 0.854 6.606 6.606 0.000
1.00 60 0.921 7.527 7.527 0.000
2.00 120 1.051 8.577 8.577 0.000
3.00 180 1.225 9.803 9.803 0.000
4.00 240 1.389 11.192 11.192 0.000
5.00 300 1.955 13.147 13.147 0.000
6.00 360 2.528 15.675 15.675 0.000
7.00 420 10.705 26.380 16.933 8.498
8.00 480 3.770 30.150 16.933 11.432
9.00 540 2.025 32.175 16.933 12.917
10.00 600 1.617 33.792 16.933 14.059
11.00 660 1.358 35.150 16.933 14.991
12.00 720 1.100 36.250 16.933 15.728
13.00 780 1.001 37.251 16.933 16.386
14.00 840 0.869 38.120 16.933 16.946
15.00 900 0.798 38.918 16.933 17.453
16.00 960 0.747 39.664 16.933 17.920
17.00 1020 0.671 40.335 16.933 18.334
 18.00 1080 0.638 40.973 16.933 18.723
19.00 1140 0.591 41.564 16.933 19.080
20.00 1200 0.558 42.122 16.933 19.413
21.00 1260 0.537 42.659 16.933 19.731
22.00 1320 0.499 43.158 16.933 20.023
23.00 1380 0.482 43.640 16.933 20.303
24.00 1440 0.459 44.099 16.933 20.567
∑P = 44.10

12.000

10.000

8.000
PP (mm)

6.000

4.000

2.000

0.000
5 10 15 20 25 30 35 40 45 50 55 60 20 80 40 00 60 20 80 40 00 60 20 80 40 00 60 20 80 40 00 60 20 80
1 1 2 3 3 4 4 5 6 6 7 7 8 9 9 10 10 11 12 12 13 13 1

Tiempo (min)

25.000

20.000

15.000
PP (mm)

Pre
10.000
Abs

5.000
 15.000

PP (mm)
Pre
10.000
Abs

5.000

0.000
5 15 25 35 45 55 120 240 360 480 600 720 840 960 080 200 320 440
1 1 1 1

Tiempo (min)
 Si : Pacum  Po
27.166
( P  PO ) 2
111.833
0.243 P n 
( P  4 PO )

N EFECTIVA
Si : Pacum  Po

Exceso de
Precipitacion Precipitación
P Abs
P n 0
acumulada Pe Acumulada
efectiva (mm)
(mm) (mm)

0.000 0.000 0.429

0.000 0.000 0.467
0.000 0.000 0.495
0.000 0.000 0.517
0.000 0.000 0.538
0.000 0.000 0.582
0.000 0.000 0.609
0.000 0.000 0.658
0.000 0.000 0.707
0.000 0.000 0.750
0.000 0.000 0.854
0.000 0.000 0.921
0.000 0.000 1.051
0.000 0.000 1.225
0.000 0.000 1.389
0.000 0.000 1.955
0.000 0.000 2.528
0.948 0.948 9.757
1.785 0.836 2.933
2.325 0.541 1.485
2.799 0.474 1.142
3.225 0.426 0.932
3.588 0.363 0.737
3.932 0.344 0.658
4.241 0.308 0.560
4.532 0.291 0.507
4.811 0.279 0.467
5.067 0.256 0.414
 5.316 0.249 0.389
5.551 0.234 0.357
5.776 0.225 0.333
5.995 0.220 0.317
6.202 0.207 0.292
6.404 0.202 0.280
6.599 0.195 0.264
79.097 6.599

1.000

0.900

0.800

0.700

0.600
PP (mm)

0.500

0.400

0.300

0.200

0.100

0.000
0 80 40 00 60 20 80 40 00 60 20 80 40 5 0 0 0 0 0 0 0 0
7 8 9 9 10 10 11 12 12 13 13 14 15 25 35 45 55 12 24 36 48 60 72 84 96 8
10

Tiempo (min)

Tiempo (min)
PP (mm)

Pre
Abs
 Pre
Abs

0
44
 PO ) 2
 4 PO )
 0 0 0 0 80 00 20 40
60 72 84 96 10 12 13 14
name centroid_x centroid_y area_sqkm latitude longitude basinid
SU1 518843.774 8574535.78 56.9648914 -12.8943998 -74.8263041 0

DATOS
Lp 16.01 km
C_max 4412.00 msnm
C_min 4004.00 msnm
Sp 2.55%
Area 56.96 km2

Tiempo de Concentracion Por Kirpich

Tiempo de Concentracion tc = 2.30 hrs
Duracion en exceso de = 3.04 hrs
Precipitacion efectiva Pe = 6.60 mm

HIDROGRAMA UNITARIO
Numero de Curva CN = 75.00
Tiempo de retardo tL = 1.38 hrs
Tiempo pico tp = 2.90 hrs
Tiempo base tb = 7.73 hrs
Caudal pico Qp = 4.08 m3/s/mm
Umbral de escorrentía Po = 16.93 mm
Potencial máximo de retención S= 84.67 mm
Caudal Maximo Qmax = 26.96 m3/s

Hidrograma adimensional del SCS

t/tp Q/Qp t/tp Q/Qp

0 0.000 0.000 0.00
0.1 0.015 0.290 0.40 1.200
0.2 0.075 0.580 2.02 1.000
0.3 0.160 0.870 4.31 0.800
0.4 0.280 1.160 7.55
Q/Qp

0.600
0.5 0.430 1.450 11.59
0.400
0.6 0.600 1.740 16.17
0.200
0.7 0.770 2.030 20.76
0.000
0.8 0.890 2.320 23.99 0 1
0.9 0.970 2.611 26.15
1 1.000 2.901 26.96
1.1 0.980 3.191 26.42
1.2 0.920 3.481 24.80
1.3 0.840 3.771 22.64 30.00
1.4 0.750 4.061 20.22
25.00
20.00
Q/Qp

15.00
10.00
 30.00
25.00
1.5 0.650 4.351 17.52
20.00
1.6 0.570 4.641 15.37

Q/Qp
1.8 0.430 5.221 11.59 15.00
2 0.320 5.801 8.63 10.00
2.2 0.240 6.381 6.47 5.00
2.4 0.180 6.961 4.85
0.00
2.6 0.130 7.541 3.50 0.000 2.000
2.8 0.098 8.122 2.64
3 0.075 8.702 2.02
3.5 0.036 10.152 0.97
4 0.018 11.602 0.49
4.5 0.009 13.053 0.24
5 0.004 14.503 0.11
 perimtr_km Lng_cue_km lng riuo princcotamax_rio cotamin_rio
58.368972 12.346071 16.0118592 4412 4004

Q/Qp Unitario
1.200
1.000
0.800
0.600
0.400
0.200
0.000
0 1 2 3 4 5 6
t/tp

Q/Qp q MÁX
30.00
25.00
20.00
15.00
10.00
 Q/Qp q MÁX
30.00
25.00
20.00
15.00
10.00
5.00
0.00
0.000 2.000 4.000 6.000 8.000 10.000 12.000 14.000 16.000
t/tp
 Tiempo de Concentracion Por Kirpich
Tiempo de Cotc = 2.30430309 hrs
Duracion en de = 3.03598622 hrs
Precipitacion Pe = 11.1153113 mm

HIDROGRAMA UNITARIO
Numero de CCN = 75
Tiempo de retL = 1.38258185 hrs
Tiempo pico tp = 2.90057496 hrs
Tiempo base tb = 7.73486657 hrs
Caudal pico Qp = 4.08494784 m3/s/mm
Umbral de esPo = 16.9333333 mm
Potencial má S = 84.6666667 mm
Caudal Maxi Qmax = 45.4054668 m3/s

5 6
14.000 16.000
 RESULTADOS DE CAUDALES MEDIOS MENSUALES POR LUTZ S.

ENE FEB MAR ABR MAY JUN JUL

Min 0.326 0.598 0.396 0.209 0.061 0.000 0.000
Promedio 0.997 1.409 0.851 0.433 0.233 0.113 0.080
Max 1.531 2.595 1.282 0.672 0.384 0.295 0.308

Q min 0.15 m3/s

factor de seg. 1.5

Q demanda 0.07 m3/s
Q max 25 year 26.96 m3/s
Q min 0.15 m3/s
MENSUALES POR LUTZ S.
Caudal de Oferta d
AGO SEP OCT NOV DIC
M
0.000 0.000 0.020 0.012 0.167 m3/s
0.060 0.100 0.133 0.144 0.568 m3/s 2.75
0.214 0.281 0.346 0.325 0.996 m3/s
2.25

1.75

Q oferta [Lts/s]
1.25

0.75

0.25

ENE FEB MAR ABR

Máx 1.531 2.595 1.282 0.672
Prom. 0.997 1.409 0.851 0.433
Mín. 0.326 0.598 0.396 0.209
 Caudal de Oferta de la Cuenca del Río Huarmislla
Máx Prom. Mín.

FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC
2.595 1.282 0.672 0.384 0.295 0.308 0.214 0.281 0.346 0.325 0.996
1.409 0.851 0.433 0.233 0.113 0.080 0.060 0.100 0.133 0.144 0.568
0.598 0.396 0.209 0.061 0.000 0.000 0.000 0.000 0.020 0.012 0.167

Meses