precipitaciones material | Apuntes de Hidrología

DATOS DE : PRECIPITACIÓN MÁXIMA EN 24 Hrs, (mm)

Altura m/s/n/m: 3450Longitud Oeste: 65ş 54' 37"Latitud Sud: 19ş 23' 20"

Provincia: Tomas FriasEstación: YocallaDepartamento: Potosí

Ańo Final:Ańo Inicial:Periodo:

Parámetros Meteorológicos:Mes Final:Mes Inicial:Estaciones:

AŃO ENE FEB MAR ABR MAY JUN JUL

1945 13 6.3 6.3 12.6 0 0 0

1946 9.5 11 4.5 1.5 0 6.5 0

1947 12 14.5 12.5 7 3.5 0 0

1948 28 19.5 15 10.5 4 1 0

1949 23.5 15 28.5 5 0.9 11.5 1

1950 25.2 25.5 9 5.2 11 0 1.5

1951 11.5 31.5 27.6 15 0.6 0 0

1953 35 29.7 25.8 7.5 7.5 0 0

1954 25.5 19.8 26 3.5 0 0 0

1955 33.5 26.9 29.9 14.5 9.5 0 0.5

1956 22.5 26.5 4.2 0 0 0 0

1957 19.6 10.3 5 3 4.6 4.5 0

1973 23 30 25 8 22 0 0

1974 35.6 18.5 7 17.5 0 0 0

1975 27 23 22 4 0 0 0

1976 18 25 22 2 0 0 0

1977 7.5 17 16 10.6 0.1 0 0

1978 19 22 13 2.5 0 0 2

1979 30.5 38 15.5 4 0 0 0

1980 23 5.3 19.5 0 0 0 2.5

1981 24 22 13 9.5 0 0 0

1982 18.2 25 11 36 0 0 0

1983 9 12.6 6 3.5 0 0 3.5

1985 22.4 24.2 16.5 26.2 0 0 0

1986 11.5 31.5 33.5 8 0 0 0

1987 22 12 16.5 0 0 3.5 0.5

1988 17.5 20 25.5 13 0 0 0

1989 18 10.5 9 28 0 0 0

1990 6.6 13 8 6 0 0 0

1991 17 17 21 14 0 0 0

1992 16.6 9.9 12.5 0 0 6.4 0

1993 16.7 10.3 15 6 0 0 0

0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00

0 00 00 00 00 00 00 00

00 00 00 00

0 00 00 00 00 00 00 00

00 00 00 00

0 00 00

0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00

Retornar Principal

Yocalla

Enero

Diciembre

19442017

PRECIPITACIÓN MÁXIMA EN 24 Hrs. (mm)

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DATOS DE : PRECIPITACIÓN MÁXIMA EN 24 Hrs, (mm)

Altura m/s/n/m: 3450Longitud Oeste: 65ş 54' 37"Latitud Sud: 19ş 23' 20" Provincia: Tomas FriasEstación: YocallaDepartamento: Potosí Ańo Final:Ańo Inicial:Periodo: Parámetros Meteorológicos:Mes Final:Mes Inicial:Estaciones: AŃO ENE FEB MAR ABR MAY JUN JUL 1945 13 6.3 6.3 12.6 0 0 0 (^1946) 9.5 11 4.5 1.5 0 6.5 0 (^1947 12) 14.5 12.5 7 3.5 0 0 (^1948 28) 19.5 15 10.5 4 1 0 1949 23.5 15 28.5 5 0.9 11.5 1 (^1950) 25.2 25.5 9 5.2 11 0 1. (^1951) 11.5 31.5 27.6 15 0.6 0 0 1953 35 29.7 25.8 7.5 7.5 0 0 (^1954) 25.5 19.8 26 3.5 0 0 0 (^1955) 33.5 26.9 29.9 14.5 9.5 0 0. (^1956) 22.5 26.5 4.2 0 0 0 0 1957 19.6 10.3 5 3 4.6 4.5 0 (^1973 23 30 25 8 22 0 ) (^1974) 35.6 18.5 7 17.5 0 0 0 (^1975 27 23 22 4 0 0 ) 1976 18 25 22 2 0 0 0 (^1977) 7.5 17 16 10.6 0.1 0 0 (^1978 19 22 13) 2.5 0 0 2 1979 30.5 38 15.5 4 0 0 0 1980 23 5.3 19.5 0 0 0 2. (^1981 24 22 13) 9.5 0 0 0 (^1982) 18.2 25 11 36 0 0 0 1983 9 12.6 6 3.5 0 0 3. (^1985) 22.4 24.2 16.5 26.2 0 0 0 (^1986) 11.5 31.5 33.5 8 0 0 0 (^1987 22 12) 16.5 0 0 3.5 0. 1988 17.5 20 25.5 13 0 0 0 (^1989 18) 10.5 9 28 0 0 0 (^1990) 6.6 13 8 6 0 0 0 (^1991 17 17 21 14 0 0 ) 1992 16.6 9.9 12.5 0 0 6.4 0 (^1993) 16.7 10.3 15 6 0 0 0 Retornar Principal Yocalla Enero Diciembre 19442017 30 PRECIPITACIÓN MÁXIMA EN 24 Hrs. (mm)

PROBABILIDAD

n=Número de años del registro m=Clasificación del evento de acuerdo con su orden de magnitud 1 40.6 0.01818182 1.82 55. 2 38.2 0.03636364 3.64 27. 3 38 0.05454545 5.45 18. 4 36 0.07272727 7.27 13. 5 36 0.09090909 9.09 11. 6 35.6 0.10909091 10.91 9. 7 35 0.12727273 12.73 7. 8 33.5 0.14545455 14.55 6. 9 33.5 0.16363636 16.36 6. 10 31.5 0.18181818 18.18 5. 11 31.5 0.2 20.00 5. 12 30 0.21818182 21.82 4. 13 30 0.23636364 23.64 4. 14 30 0.25454545 25.45 3. 15 30 0.27272727 27.27 3. 16 28.5 0.29090909 29.09 3. 17 28.5 0.30909091 30.91 3. 18 28 0.32727273 32.73 3. 19 28 0.34545455 34.55 2. 20 27 0.36363636 36.36 2. 21 26.5 0.38181818 38.18 2. 22 26.5 0.4 40.00 2. 23 26.5 0.41818182 41.82 2. 24 26.3 0.43636364 43.64 2. 25 26.2 0.45454545 45.45 2. 26 26 0.47272727 47.27 2. 27 25.6 0.49090909 49.09 2. 28 25.5 0.50909091 50.91 2. 29 25.5 0.52727273 52.73 1. 30 25.5 0.54545455 54.55 1. Número de Orden m Precipitación (mm) Probabilidad Probabilidad (%) Tr (años) 0.00 10.00 20.00 30. 0 5 10 15 20 25 30 35 40 45

pr

A.1 CALCULO DE PARAMETROS ESTADISTICOS

AÑO ln X Nùmero de Orden m Precipitación X(mm) Precipitación

DISTRIBUCIÓN LOGARITMO INVERSA A.3 ) Calculo de Precipitaciones o Lluvias Maximas Diarias para Determinados Periodos de Retorno Probabilidad Probabilidad 1000 0.9990 0.001 0.1 62. 500 0.9980 0.002 0.2 58. 200 0.9950 0.005 0.5 53. 100 0.9900 0.01 1.0 49. 50 0.9800 0.02 2.0 45. 20 0.9500 0.05 5.0 40. 10 0.9000 0.1 10.0 36. 5 0.8000 0.2 20.0 31. 3.3 0.6970 0.3030303 30.3 28. 2.5 0.6000 0.4 40.0 26. 2 0.5000 0.5 50.0 24. 1.7 0.4118 0.58823529 58.8 22. 1.4 0.2857 0.71428571 71.4 20. 1.25 0.2000 0.8 80.0 19. 1.11 0.0991 0.9009009 90.1 16. 1.05 0.0476 0.95238095 95.2 14. 1.02 0.0196 0.98039216 98.0 13. 1.01 0.0099 0.99009901 99.0 12. T r (años) Probabilidad (%) Precipitaciòn (mm) 100.0 90.0 80.0 70.0 60.0 50.0 40. DISTRIBUCION LOG NOR

0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 90.00 100. 0 5 10 15 20 25 30 35 40 45 probabilidad de excedencia (^) PROBABILIDAD (%) PRECIPOITACIÒN (MM)

DISTRIBUCION LOG NORMAL

Probabilidad (%) Tr (años) Precipitación (mm) Probabilidad (%)^ T r (años) Precipitaciòn

1994 20.8 9.2 19 0.4
1996 17 10.6
1997 26.5 20.2 17 16.1
1998 12 8 6 12 0 0
1999 4.2
2000 16.2 10.4 7.9 9.4
2001 25.6 24.1 10.7
2002 22.7 16.5 5.1 4.2 0 5.1
2003 6.3 8.3 8.3 4.2 0 0 2.
2004 20.1 13 23.5 6.4 0 0 7.
2005 20.2 26.3 7.8 9.2
2006 20.5 8.7 10.5 4.5 5.3
2007 21.8 20.2 19.5 28.5
2008 21.3 13.8 15.5
2009 15.6 20.5 20.6 10.4 7.3
2010 15.6 20.5 10.2 17.4 2.6
2011 14.6 26.5 19.6
2012 16.6 8.4 30.1 10.7
2013 20.7 12.5 20.1 0 6.2 0 2.
2014 16.5 14.6 12.3 1 4.5
2015 30 26 30 15 0 0
2016 14.6 14.6 4 11.1
5 8.7 5.2 11 14 14
0 1.7 9.5 20 28.5 28.5 28.
0 0.6 6.3 11.5 9.2 14.5 14.
2.5 6.5 8.5 20 22.7
4.3 12.4 16 5.7 17.5 28.5 28.
0 1.9 11 0 12.3 25.5 25.
4.5 0.5 7.3 5 20.5 31.5 31.
1.3 6.5 2.8 18.5 12 35
0 11.5 11.5 22.5 25.8
0 2.5 3.5 7.5 14.7 33.5 33.
1.4 15.5 20 13.5 20 26.5 26.
0 3.5 12.5 12 30 30
7 1 13 2.5 17 30
22 2 8 15.2 18.5 35.6 35.
0 10 13 3.1 9 25
0 2.6 8.6 13.5 38.2 38.2 38.
4 1 7.5 19.5
0 2.5 8.2 5.5 19.5
13.5 2.5 11 4 7.2
11 21 1.5 11.6 13.5
0 17 6.5 9.5 21.3
6.5 0.7 6.5 20.1 8.7 20.1 20.
0 5.2 1.5 23.5 19.2 26.2 26.
0 11.5 4.5 11 24 33.5 33.
0 3.5 20.5 8.5
0 5 6.5 2 23 25.5 25.
0 0 0 19 3.6
0 0 7.5 31.5 20 31.5 31.
0 0 7.5 3 12.7
0 0 16.3 14 16 16.6 16.
10.6 12.5 9.5 13.6 5.2 16.7 16.
0 2.1 4 7.6 5.5 20.8 20.
1.5 0.1 0.9 40.6 20.5 40.6 40.
0 11 1.5 4.5 24 26.5 26.
0 3 6 8 8.3 8.3 8.
0 0 2.9 0 8.4 16.2 16.
0 0 2.5 4.1 10.3 25.6 25.
0 3 16.2 12.2 2.1 22.7 22.
3.3 3.1 0 0 20.1 20.1 20.
1.5 8.5 5.2 2.1 20.1 23.5 23.
0 18.4 21.8 10.4 15.5 26.3 26.
0 6.5 10.5 5.7 22.1 22.1 22.
0 2.6 30 6.5 30 30
0.1 0 5.8 6.5 13.5 21.3 21.
0 3.8 0 20.6 8.6 20.6 20.
1 1 15.6 0 13.2 20.5 20.
0 0 0 2.8 12.6 26.5 26.
0 0 5.6 36 12.6
5.1 0 0 16.2 25.5 25.5 25.
1.9 1 24 10 23 24
6 2 24.1 11.1 0 30
0 3.2 9.1 2.3 8.9 14.6 14.
31 25 0.56363636 56.36 1.
32 24 0.58181818 58.18 1.
33 24 0.6 60.00 1.
34 23.5 0.61818182 61.82 1.
35 23 0.63636364 63.64 1.
36 22.7 0.65454545 65.45 1.
37 22.1 0.67272727 67.27 1.
38 22 0.69090909 69.09 1.
39 22 0.70909091 70.91 1.
40 21.3 0.72727273 72.73 1.
41 21 0.74545455 74.55 1.
42 20.8 0.76363636 76.36 1.
43 20.6 0.78181818 78.18 1.
44 20.5 0.8 80.00 1.
45 20.1 0.81818182 81.82 1.
46 20.1 0.83636364 83.64 1.
47 16.7 0.85454545 85.45 1.
48 16.6 0.87272727 87.27 1.
49 16.2 0.89090909 89.09 1.
50 15 0.90909091 90.91 1.
51 14.6 0.92727273 92.73 1.
52 14.5 0.94545455 94.55 1.
53 14 0.96363636 96.36 1.
54 8.3 0.98181818 98.18 1.
n=
2 1946 28.5 38.2 3.6428 0. 1 1945 14 40.6 3.7038 0.2551 MEDIA
3 1947 14.5 38 3.6376 0.
4 1948 28 36 3.5835 0.
5 1949 28.5 36 3.5835 0.
6 1950 25.5 35.6 3.5723 0.1396 3.
7 1951 31.5 35 3.5553 0.
8 1953 35 33.5 3.5115 0.
10 1955 33.5 31.5 3.4500 0. 9 1954 26 33.5 3.5115 0.0979 DESVIACION ESTANDAR
11 1956 26.5 31.5 3.4500 0.
12 1957 30 30 3.4012 0.
13 1973 30 30 3.4012 0.
14 1974 35.6 30 3.4012 0.
15 1975 27 30 3.4012 0.
16 1976 25 28.5 3.3499 0.
17 1977 38.2 28.5 3.3499 0.
18 1978 22 28 3.3322 0.
19 1979 38 28 3.3322 0.
20 1980 23 27 3.2958 0.
21 1981 24 26.5 3.2771 0.
22 1982 36 26.5 3.2771 0.
23 1983 20.1 26.5 3.2771 0.
24 1985 26.2 26.3 3.2696 0.
25 1986 33.5 26.2 3.2658 0.
26 1987 22 26 3.2581 0.
27 1988 25.5 25.6 3.2426 0.
28 1989 28 25.5 3.2387 0.
29 1990 31.5 25.5 3.2387 0.
30 1991 21 25.5 3.2387 0.
31 1992 16.6 25 3.2189 0.
32 1993 16.7 24 3.1781 0.
33 1994 20.8 24 3.1781 0.
34 1996 40.6 23.5 3.1570 0.
35 1997 26.5 23 3.1355 0.
36 1998 15 22.7 3.1224 0.
37 1999 8.3 22.1 3.0956 0.
38 2000 16.2 22 3.0910 0.
39 2001 25.6 22 3.0910 0.
40 2002 22.7 21.3 3.0587 0.
41 2003 20.1 21 3.0445 0.
42 2004 23.5 20.8 3.0350 0.
43 2005 26.3 20.6 3.0253 0.
44 2006 22.1 20.5 3.0204 0.
45 2007 30 20.1 3.0007 0.
46 2008 21.3 20.1 3.0007 0.
47 2009 20.6 16.7 2.8154 0.
48 2010 20.5 16.6 2.8094 0.
49 2011 26.5 16.2 2.7850 0.
50 2012 36 15 2.7081 0.
51 2013 25.5 14.6 2.6810 0.
52 2014 24 14.5 2.6741 0.
53 2015 30 14 2.6391 0.
54 2016 14.6 8.3 2.1163 1.
MEDIA 3.
n = 54 SUMA 172.7315 4.
70.0 60.0 50.0 40.0 30.0 20.0 10.0 0.
1.82 55.0 40. DATOS PLUVIOMETRO DISTRIBUCION LOG-NORMAL
3.64 27.5 38.2 0.1 1000 62.
5.45 18.3 38 0.2 500 58.
7.27 13.8 36 0.5 200 53.
9.09 11.0 36 1.0 100 49.
10.91 9.2 35.6 2.0 50 45.
12.73 7.9 35 5.0 20 40.
14.55 6.9 33.5 10.0 10 36.
16.36 6.1 33.5 20.0 5 31.
18.18 5.5 31.5 30.3 3.3 28.
20.00 5.0 31.5 40.0 2.5 26.
21.82 4.6 30 50.0 2 24.
23.64 4.2 30 58.8 1.7 22.
25.45 3.9 30 71.4 1.4 20.
27.27 3.7 30 80.0 1.25 19.
29.09 3.4 28.5 90.1 1.11 16.
30.91 3.2 28.5 95.2 1.05 14.
32.73 3.1 28 98.0 1.02 13.
34.55 2.9 28 99.0 1.01 12.
36.36 2.8
38.18 2.6 26.
40.00 2.5 26.
41.82 2.4 26.
43.64 2.3 26.
45.45 2.2 26.
47.27 2.1
49.09 2.0 25.
50.91 2.0 25.
52.73 1.9 25.
54.55 1.8 25.
56.36 1.8
58.18 1.7
60.00 1.7
61.82 1.6 23.
63.64 1.6
65.45 1.5 22.
67.27 1.5 22.
69.09 1.4
70.91 1.4
72.73 1.4 21.
74.55 1.3
76.36 1.3 20.
78.18 1.3 20.
80.00 1.3 20.
81.82 1.2 20.
100.00 90.00 80. (mm)

precipitaciones material, Apuntes de Hidrología

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DATOS DE : PRECIPITACIÓN MÁXIMA EN 24 Hrs, (mm)

PROBABILIDAD

pr

A.1 CALCULO DE PARAMETROS ESTADISTICOS

DISTRIBUCION LOG NORMAL