Hidrología, Método De Gumbel y Log Pearson Iii

Republica Bolivariana de Venezuela
Ministerio Popular para la Educación
Universidad Rafael Urdaneta
Cátedra: Hidrología
Prof.: Ramón Cadenas

Hidrología Cuantitativa

Calderón Leal, José Gerardo
C.I 20 438 670

| LLUVIAS EXTREMAS ANUALES DE LA ESTACIÓN SAN RAFAEL DE MARA, ESTADO ZULIA ESTACION SERIAL N° 1007|
| |
| TIEMPO |
| 15min | 30min | 1H | 2H | 3H | 6H | 9H | 12H | 24H |
1967 | 28.1 | 40.1 | 60 | 62.6 | 63.9 | 70 | 75.5 | 75.5 | 85.2 |
1968 | 27.9 | 34.1 | 38.9 | 52 | 55.1 | 58.4 | 58.4 | 58.9 | 58.9 |
1969 | 31.6 | 39.4 | 49.1 | 49.5 | 53.9 | 55 | 55.1 | 55.1 | 64.4 |
1970 | 24.7 | 32 | 56.5 | 68.6 | 77 | 83.9 | 84.7 | 84.7 | 84.7 |
1971 | 25.8 | 35.8 | 47.3 | 48.6 | 57.6| 67.1 | 69.2 | 69.2 | 70.2 |
1972 | 24.9 | 34.1 | 42.9 | 57.4 | 65.8 | 67.9 | 68.1 | 68.8 | 68.9 |
1973 | 29.9 | 51.8 | 70.3 | 71.3 | 74 | 74.9 | 77.7 | 81.5 | 81.5 |
1974 | 25.6 | 34.9 | 36.9 | 38.5 | 41.1 | 41.1 | 41.1 | 41.1 | 41.1 |
1975 | 29.4 | 36.2 | 65 | 100 | 109.9 | 111.7 | 111.7 | 111.7 | 111.7 |
1976 | 21.1 | 28.3 | 33 | 33 | 33.1 | 33.1 | 33.1 | 33.1 | 33.1 |
1977 | 33 |40 | 53.8 | 57.4 | 57.5 | 57.5 | 57.5 | 57.5 | 57.5 |
1978 | 38.9 | 44.7 | 56 | 81.6 | 81.6 | 81.6 | 81.6 | 81.6 | 81.6 |
1979 | 23.2 | 38.5 | 47.2 | 53.5 | 105.5 | 135.1 | 141.3 | 143.1 | 143.2 |
1980 | 30.8 | 55.6 | 79.2 | 86 | 86 | 86 | 86 | 86 | 86 |
1981 | 32.6 | 52.8 | 63.8 | 66 | 86 | 114.9 | 114.9 | 119.4 | 134.1 |
1982 | 16.8 | 18.8 | 30.4 | 53.2 | 66 | 71.9 | 72.3 | 72.4 | 72.5|
∑Xi | 444.3 | 617.1 | 830.3 | 979.2 | 1114 | 1210.1 | 1228.2 | 1239.6 | 1274.6 |
X | 27.76875 | 38.56875 | 51.89375 | 61.2 | 69.625 | 75.63125 | 76.7625 | 77.475 | 79.6625 |



X= ∑Xin X= 444.316 = 27.76875 (Media)

Método Gumbel


k=Y-YnSn

Yn




150.5125
16 Yn 16-1520-15= Yn- 0.51250.5236-0.5125 Yn = 0.5147
Sn
20 0.5236



15 1.0206
16 Sn 16-1520-15= Sn- 1.02061.0628-1.0206Sn = 1.0290
20 1.0628

Y

Y Tr = 25 Y = 3,199 Y Tr = 50 Y = 3.902

k=Y-YnSn k=3.199 –0.5147 1.0290 k =2.6086 k=Y-YnSn k=3.902 –0.5147 1.0290 k = 3.2918

| 15min | 30min | 1H | 2H | 3H | 6H | 9H | 12H | 24H |
(Xi- X )2 | 0.10972656 | 2.34472656 | 65.7112891 | 1.96 | 32.775625 | 31.7109766 | 1.59390625 | 3.900625 | 30.6639063 |
| 0.01722656 | 19.9697266 | 168.837539 | 84.64 | 210.975625 | 296.915977 | 337.181406 |345.030625 | 431.081406 |
| 14.6784766 | 0.69097656 | 7.80503906 | 136.89 | 247.275625 | 425.648477 | 469.263906 | 500.640625 | 232.943906 |
| 9.41722656 | 43.1484766 | 21.2175391 | 54.76 | 54.390625 | 68.3722266 | 63.0039063 | 52.200625 | 25.3764063 |
| 3.87597656 | 7.66597656 | 21.1025391 | 158.76 | 144.600625 | 72.7822266 | 57.1914063 | 68.475625 | 89.5389062 |
| 8.22972656 |19.9697266 | 80.8875391 | 14.44 | 14.630625 | 59.7722266 | 75.0389063 | 75.255625 | 115.831406 |
| 4.54222656 | 175.065977 | 338.790039 | 102.01 | 19.140625 | 0.53472656 | 0.87890625 | 16.200625 | 3.37640625 |
| 4.70347656 | 13.4597266 | 224.812539 | 515.29 | 813.675625 | 1192.40723 | 1271.81391 | 1323.14063 | 1487.06641 |
| 2.66097656 | 5.61097656 | 171.773789 | 1505.44 | 1622.07563 |...