n° N° P(mm)

1961 1 13.07 13.07 1 0.000001 0.0911962 2 93.4 31.13 2 0.000001 0.1821963 3 111.67 22.33 3 0.000001 0.2731964 4 110 22 4 10.2 0.3641965 5 54 27 5 13.07 0.4551966 6 44.67 22.33 6 13.13 0.5451967 7 0 13.07 7 15 0.6361968 8 42 14 8 23.33 0.7271969 9 40.53 20.27 9 30.67 0.8181970 10 141.07 35.27 10 40.53 0.9091971 11 104 26 11 42 1.0001972 12 60 30 12 44.13 1.0911973 13 15 15 13 44.67 1.1821974 14 120.8 40.27 14 50.4 1.2731975 15 -999 24.2 15 52.27 1.3641976 16 23.33 23.33 16 53.07 1.4551977 17 56.53 28.27 17 54 1.5451978 18 30.67 15.33 18 56.53 1.6361979 19 156.8 39.2 19 60 1.7271980 20 53.07 13.27 20 60.33 1.8181981 21 105.2 35.07 21 72.6 1.9091982 22 201 40.2 22 76.67 2.0001983 23 60.33 12.07 23 90.67 2.0911984 24 52.27 13.07 24 93.4 2.1821985 25 120 24 25 104 2.2731986 26 90.67 18.13 26 105.2 2.3641987 27 10.2 10.2 27 110 2.4551988 28 112 37.33 28 111.67 2.5451989 29 -999 36 29 112 2.6361990 30 72.6 24.2 30 120 2.7271991 31 125.33 25.07 31 120.8 2.8181992 32 44.13 22.07 32 125.33 2.9091993 33 76.67 38.33 33 141.07 3.0001994 34 50.4 25.2 34 156.8 3.0911995 35 13.13 13.13 35 201 3.182

Prom= 68.701142949.8626823

Tiempo (años)

Estación A(m3/s)

Estación B (m3/s)

Probabilidades empiricas

𝜎=

z f(x) w F(x)

-1.378 0.154 0.686 0.084-1.378 0.154 0.686 0.084-1.378 0.154 0.686 0.084-1.173 0.200 0.719 0.120-1.116 0.214 0.729 0.132-1.114 0.214 0.730 0.133-1.077 0.223 0.736 0.141-0.910 0.264 0.768 0.181-0.763 0.298 0.798 0.223 zzzzzzz-0.565 0.340 0.842 0.286-0.535 0.346 0.849 0.296-0.493 0.353 0.859 0.311-0.482 0.355 0.862 0.315-0.367 0.373 0.891 0.357-0.330 0.378 0.901 0.371-0.313 0.380 0.906 0.377-0.295 0.382 0.911 0.384-0.244 0.387 0.925 0.404-0.175 0.393 0.945 0.431-0.168 0.393 0.947 0.4330.078 0.398 0.975 0.5310.160 0.394 0.950 0.5640.441 0.362 0.872 0.6700.495 0.353 0.859 0.6900.708 0.311 0.809 0.7600.732 0.305 0.804 0.7680.828 0.283 0.784 0.7960.862 0.275 0.777 0.8060.868 0.274 0.776 0.8071.029 0.235 0.745 0.8481.045 0.231 0.742 0.8521.136 0.209 0.726 0.8721.451 0.139 0.674 0.9271.767 0.084 0.630 0.9612.653 0.012 0.531 0.996

-2.000 -1.500 -1.000 -0.500 0.000 0.500 1.000 1.500 2.000 2.500 3.0000.000

0.200

0.400

0.600

0.800

1.000

1.200

f(x) = − 0.001317144 x⁶ + 0.006939716 x⁵ + 0.004072158 x⁴ − 0.063962757 x³ − 0.003065404 x² + 0.398458099 x + 0.500309979R² = 0.99999933101553

Z

F(x)

GRAFICA DE DISTRIBUCIÓN NORMAL

0.98

2.24

8

-2.000 -1.500 -1.000 -0.500 0.000 0.500 1.000 1.500 2.000 2.500 3.0000.000

0.200

0.400

0.600

0.800

1.000

1.200

f(x) = − 0.001317144 x⁶ + 0.006939716 x⁵ + 0.004072158 x⁴ − 0.063962757 x³ − 0.003065404 x² + 0.398458099 x + 0.500309979R² = 0.99999933101553

Z

F(x)

GRAFICA DE DISTRIBUCIÓN NORMAL

0.98

2.24

8

a= 12.25k= 0.52b= 0.4n= 0.2Tr= 20 años

10 5.39 5.39 0-10 0.4120 8.77 3.38 Oct-20 0.4730 11.17 2.40 20-30 0.5440 13.00 1.83 30-40 0.6550 14.47 1.47 40-50 0.8060 15.69 1.22 50-60 1.0470 16.73 1.04 60-70 1.4780 17.64 0.90 70-80 2.4090 18.43 0.80 80-90 5.39

100 19.15 0.72 90-100 3.38110 19.80 0.65 100-110 1.83120 20.39 0.59 110-120 1.22130 20.93 0.54 120-130 0.90140 21.44 0.50 130-140 0.72150 21.91 0.47 140-150 0.59160 22.35 0.44 150-160 0.50170 22.76 0.41 160-170 0.44180 23.15 0.39 170-180 0.39

DURACIÓN (t=min)

Precipitación Acumulada

(mm)

Precipitación Incremental

(mm)

Intervalo de tiempo (min)

Precipitación Alterna (min)

𝑖(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗〖 (𝑡+𝑏)〗^(𝑛−1)𝑃(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗(𝑡+𝑏)^(𝑛−1)∗𝑡

0-10 Oct-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

100-110

110-120

120-130

130-140

140-150

150-160

160-170

170-180

0.00

1.00

2.00

3.00

4.00

5.00

6.00

0.41 0.47 0.54 0.65 0.801.04

1.47

2.40

5.39

3.38

1.83

1.220.90

0.72 0.59 0.50 0.44 0.39

HIETOGRAMA T=20 AÑOS

Intervalo de tiempo (min)Pr

ecip

itacio

n Al

tern

a (m

in)

0-10 Oct-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

100-110

110-120

120-130

130-140

140-150

150-160

160-170

170-180

0.00

1.00

2.00

3.00

4.00

5.00

6.00

0.41 0.47 0.54 0.65 0.801.04

1.47

2.40

5.39

3.38

1.83

1.220.90

0.72 0.59 0.50 0.44 0.39

HIETOGRAMA T=20 AÑOS

Intervalo de tiempo (min)

Prec

ipita

cion

Alte

rna

(min

)

a= 12.25k= 0.52b= 0.4n= 0.2Tr= 25 años

10 5.55 5.55 0-10 0.4220 9.04 3.48 Oct-20 0.4830 11.51 2.47 20-30 0.5640 13.39 1.89 30-40 0.6750 14.91 1.51 40-50 0.8260 16.16 1.26 50-60 1.0770 17.23 1.07 60-70 1.5180 18.17 0.93 70-80 2.4790 18.99 0.82 80-90 5.55

100 19.73 0.74 90-100 3.48110 20.39 0.67 100-110 1.89120 21.00 0.61 110-120 1.26130 21.56 0.56 120-130 0.93140 22.08 0.52 130-140 0.74150 22.56 0.48 140-150 0.61160 23.02 0.45 150-160 0.52170 23.44 0.42 160-170 0.45180 23.84 0.40 170-180 0.40

DURACIÓN (t=min)

Precipitacion Acumulada

(mm)

Precipitacion Incremental

(mm)

Intervalo de tiempo (min)

Precipitacion Alterna (min)

𝑖(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗〖 (𝑡+𝑏)〗^(𝑛−1)𝑃(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗(𝑡+𝑏)^(𝑛−1)∗𝑡

0-10 Oct-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

100-110

110-120

120-130

130-140

140-150

150-160

160-170

170-180

0.00

1.00

2.00

3.00

4.00

5.00

6.00

0.42 0.48 0.56 0.67 0.821.07

1.51

2.47

5.55

3.48

1.89

1.260.93 0.74 0.61 0.52 0.45 0.40

HIETOGRAMA T=25 AÑOS

Intervalo de tiempo (min)

Prec

ipita

cion

Alte

rna

(min

)

0-10 Oct-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

100-110

110-120

120-130

130-140

140-150

150-160

160-170

170-180

0.00

1.00

2.00

3.00

4.00

5.00

6.00

0.42 0.48 0.56 0.67 0.821.07

1.51

2.47

5.55

3.48

1.89

1.260.93 0.74 0.61 0.52 0.45 0.40

HIETOGRAMA T=25 AÑOS

Intervalo de tiempo (min)

Prec

ipita

cion

Alte

rna

(min

)

a= 12.25k= 0.52b= 0.4n= 0.2Tr= 50 años

10 6.06 6.06 0-10 0.4620 9.86 3.80 Oct-20 0.5330 12.55 2.69 20-30 0.6140 14.61 2.06 30-40 0.7350 16.26 1.65 40-50 0.9060 17.63 1.37 50-60 1.1770 18.80 1.17 60-70 1.6580 19.81 1.02 70-80 2.6990 20.71 0.90 80-90 6.06

100 21.51 0.80 90-100 3.80110 22.24 0.73 100-110 2.06120 22.91 0.66 110-120 1.37130 23.52 0.61 120-130 1.02140 24.08 0.57 130-140 0.80150 24.61 0.53 140-150 0.66160 25.10 0.49 150-160 0.57170 25.57 0.46 160-170 0.49180 26.00 0.44 170-180 0.44

DURACIÓN (t=min)

Precipitación Acumulada

(mm)

Precipitación Incremental

(mm)

Intervalo de tiempo (min)

Precipitación Alterna (min)

𝑖(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗〖 (𝑡+𝑏)〗^(𝑛−1)𝑃(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗(𝑡+𝑏)^(𝑛−1)∗𝑡

0-10 Oct-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

100-110

110-120

120-130

130-140

140-150

150-160

160-170

170-180

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

0.46 0.53 0.61 0.73 0.901.17

1.65

2.69

6.06

3.80

2.06

1.371.02 0.80 0.66 0.57 0.49 0.44

HIETOGRAMA T=50 AÑOS

Intervalo de tiempo (min)

Prec

ipita

cion

Alte

rna

(min

)

0-10 Oct-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

100-110

110-120

120-130

130-140

140-150

150-160

160-170

170-180

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

0.46 0.53 0.61 0.73 0.901.17

1.65

2.69

6.06

3.80

2.06

1.371.02 0.80 0.66 0.57 0.49 0.44

HIETOGRAMA T=50 AÑOS

Intervalo de tiempo (min)

Prec

ipita

cion

Alte

rna

(min

)

a= 12.25k= 0.52b= 0.4n= 0.2Tr= 100 años

10 6.56 6.56 0-10 0.5020 10.68 4.12 Oct-20 0.5730 13.59 2.92 20-30 0.6640 15.82 2.23 30-40 0.7950 17.61 1.79 40-50 0.9760 19.09 1.48 50-60 1.2770 20.36 1.27 60-70 1.7980 21.46 1.10 70-80 2.9290 22.43 0.97 80-90 6.56

100 23.30 0.87 90-100 4.12110 24.09 0.79 100-110 2.23120 24.81 0.72 110-120 1.48130 25.47 0.66 120-130 1.10140 26.08 0.61 130-140 0.87150 26.66 0.57 140-150 0.72160 27.19 0.53 150-160 0.61170 27.69 0.50 160-170 0.53180 28.16 0.47 170-180 0.47

DURACIÓN (t=min)

Precipitación Acumulada

(mm)

Precipitación Incremental

(mm)

Intervalo de tiempo (min)

Precipitación Alterna (min)

𝑖(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗〖 (𝑡+𝑏)〗^(𝑛−1)𝑃(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗(𝑡+𝑏)^(𝑛−1)∗𝑡

0-10 Oct-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

100-110

110-120

120-130

130-140

140-150

150-160

160-170

170-180

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

0.50 0.57 0.66 0.79 0.971.27

1.79

2.92

6.56

4.12

2.23

1.481.10 0.87 0.72 0.61 0.53 0.47

HIETOGRAMA T=100 AÑOS

Intervalo de tiempo (min)

Prec

ipita

cion

Alte

rna

(min

)

0-10 Oct-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

100-110

110-120

120-130

130-140

140-150

150-160

160-170

170-180

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

0.50 0.57 0.66 0.79 0.971.27

1.79

2.92

6.56

4.12

2.23

1.481.10 0.87 0.72 0.61 0.53 0.47

HIETOGRAMA T=100 AÑOS

Intervalo de tiempo (min)

Prec

ipita

cion

Alte

rna

(min

)

Curva intensidad duracion y periodo de retornoa= 11k= 0.553b= 0.4n= 0.38

t (min)INTENSIDAD

20 25 50 1002 31.77 32.76 35.83 38.914 30.34 31.28 34.22 37.166 29.07 29.97 32.79 35.608 27.93 28.80 31.50 34.21

10 26.90 27.74 30.34 32.9412 25.96 26.77 29.28 31.8014 25.11 25.89 28.32 30.7516 24.32 25.08 27.43 29.7918 23.60 24.33 26.62 28.9020 22.92 23.64 25.86 28.0822 22.30 23.00 25.16 27.3124 21.72 22.40 24.50 26.6026 21.18 21.84 23.89 25.9428 20.67 21.31 23.31 25.3230 20.19 20.82 22.78 24.7332 19.74 20.36 22.27 24.1834 19.32 19.92 21.79 23.6636 18.91 19.50 21.33 23.1738 18.53 19.11 20.91 22.7040 18.17 18.74 20.50 22.2642 17.83 18.38 20.11 21.8444 17.50 18.05 19.74 21.4446 17.19 17.73 19.39 21.0548 16.89 17.42 19.05 20.6950 16.61 17.13 18.73 20.3452 16.34 16.84 18.43 20.0154 16.07 16.58 18.13 19.6956 15.82 16.32 17.85 19.3858 15.58 16.07 17.58 19.0960 15.35 15.83 17.32 18.8062 15.13 15.60 17.07 18.5364 14.92 15.38 16.83 18.2766 14.71 15.17 16.59 18.0268 14.51 14.96 16.37 17.7770 14.32 14.76 16.15 17.54

TR (AÑOS)

𝑖(𝑡,𝑇)=𝑎∗(1+𝑘𝑙𝑜𝑔(𝑇))∗〖 (𝑡+𝑏)〗^(𝑛−1)

0 10 20 30 40 50 60 70 80 9010.00

15.00

20.00

25.00

30.00

35.00

40.00

DURACIÓN (min)

INTE

NSI

DAD

(mm

/hr)

CURVA IDF-IILA SINAMHI- UNI

T=100 años

T=50 años

T=25 años

T=20 años

72 14.13 14.57 15.94 17.3174 13.95 14.39 15.74 17.0976 13.78 14.21 15.54 16.8878 13.61 14.04 15.35 16.6780 13.45 13.87 15.17 16.4782 13.29 13.71 14.99 16.2884 13.14 13.55 14.82 16.0986 12.99 13.39 14.65 15.9188 12.84 13.25 14.49 15.7390 12.70 13.10 14.33 15.56

0 10 20 30 40 50 60 70 80 9010.00

15.00

20.00

25.00

30.00

35.00

40.00

DURACIÓN (min)

INTE

NSI

DAD

(mm

/hr)

CURVA IDF-IILA SINAMHI- UNI

T=100 años

T=50 años

T=25 años

T=20 años

0 10 20 30 40 50 60 70 80 9010.00

15.00

20.00

25.00

30.00

35.00

40.00

DURACIÓN (min)

INTE

NSI

DAD

(mm

/hr)

CURVA IDF-IILA SINAMHI- UNI

T=100 años

T=50 años

T=25 años

T=20 años

0 10 20 30 40 50 60 70 80 9010.00

15.00

20.00

25.00

30.00

35.00

40.00

DURACIÓN (min)

INTE

NSI

DAD

(mm

/hr)

CURVA IDF-IILA SINAMHI- UNI

T=100 años

T=50 años

T=25 años

T=20 años

0 10 20 30 40 50 60 70 80 9010.00

15.00

20.00

25.00

30.00

35.00

40.00

DURACIÓN (min)

INTE

NSI

DAD

(mm

/hr)

CURVA IDF-IILA SINAMHI- UNI

T=100 años

T=50 años

T=25 años

T=20 años

0 10 20 30 40 50 60 70 80 9010.00

15.00

20.00

25.00

30.00

35.00

40.00

DURACIÓN (min)

INTE

NSI

DAD

(mm

/hr)

CURVA IDF-IILA SINAMHI- UNI

T=100 años

T=50 años

T=25 años

T=20 años