Hidrograma unitario

06 – Hidrograma Unitario
-------------------------------------------------
Nombres: Juan Camilo Marrugo Torres
Ejercicio
Realizar el ejercicio 7.4.3 del Libro de Hidrología Aplicada de Chow et.al 1994.

| Area | 216 | | | | | | | | | |
| Flujo base | 20 | | | | | | | | | |
| | | | | | | | | | | |
| || | | | | | | | | |
Horas x6 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
Lluvia cm | 1,5 | 3,5 | 2,5 | 1,5 |   |   |   |   |   |   |   |
Escorrentía m3/s | 26 | 71 | 174 | 226 | 173 | 99 | 49 | 33 | 26 | 22 | 21 |
Escorrentía directa m3/s | 6 | 51 | 154 | 206 | 153 | 79 | 29 | 13 | 6 | 2 | 1 |
Volumenes m3 | 129600 | 1101600 | 3326400 | 4449600 | 3304800 | 1706400 | 626400| 280800 | 129600 | 43200 | 21600 |

| cm | m3 | |
Vol Prec | 9 | 19440000 | |
| | | |
Vol escorre | | 15120000 | |
| | | |
Dif Vol | | 4320000 | |
| | | |
| | m | cm |
Filtración | | 0,005 | 0,5 |

| | Precipitación real | |
| | | | |
Lluvia directo | 1 | 3 | 2 | 1 |

P1 | 1 | | | | | | | |
P2 | 3 | 1 | | | | | | |
P3 | 2| 3 | 1 | | | | | |
P4 | 1 | 2 | 3 | 1 | | | | |
P5 | | 1 | 2 | 3 | 1 | | | |
P6 | | | 1 | 2 | 3 | 1 | | |
P7 | | | | 1 | 2 | 3 | 1 | |
P8 | | | | | 1 | 2 | 3 | 1 |
P9 | | | | | | 1 | 2 | 3 |
P10 | | | | | | | 1 | 2 |
P11 | | | | | | | | 1 |

Q1 | 6 |
Q2 | 51 |
Q3 | 154 |
Q4 | 206 |
Q5 | 153 |
Q6 | 79 |
Q7 | 29 |
Q8 | 13|
Q9 | 6 |
Q10 | 2 |
Q11 | 1 |

Solución hallada con el solver
U1 | U2 | H3 | H4 | H5 | H6 | H7 | H8 |
5,67906221 | 34,0928955 | 40,3122702 | 11,2307985 | 4,54769087 | 2,62133014 | 0,82825985 | 0,61565305 |

Error cuadrático
0,305953743

En el programa matlab se interpoló mediante la opción de basic fitting que trae, y se le dio en spline y se halló la curva y se interpoló paratener el mismo hidrograma cada 0.5 horas.

0,00000 |
0,47325 |
0,94650 |
1,41975 |
1,89300 |
2,36625 |
2,83950 |
3,31275 |
3,78600 |
4,25925 |
4,73250 |
5,20575 |
5,67900 |
7,82486 |
10,10148 |
12,48174 |
14,93852 |
17,44470 |
19,97315 |
22,49676 |
24,98840 |
27,42096 |
29,76731 |
32,00033 |
34,09290 |
36,01902 |
37,75717 |
39,28695 |40,58797 |
41,63981 |
42,42207 |
42,91437 |
43,09630 |
42,94746 |
42,44744 |
41,57586 |
40,31230 |
38,65031 |
36,63916 |
34,34206 |
31,82223 |
29,14288 |
26,36723 |
23,55848 |
20,77985 |
18,09456 |
15,56581 |
13,25682 |
11,23080 |
9,53508 |
8,15344 |
7,05377 |
6,20396 |
5,57191 |
5,12550 |
4,83264 |
4,66122 |
4,57911 |
4,55423 |
4,55446 |4,54770 |
4,50784 |
4,43285 |
4,32667 |
4,19327 |
4,03660 |
3,86064 |
3,66934 |
3,46665 |
3,25654 |
3,04298 |
2,82991 |
2,62130 |
2,42049 |
2,22831 |
2,04498 |
1,87070 |
1,70570 |
1,55018 |
1,40436 |
1,26846 |
1,14267 |
1,02723 |
0,92233 |
0,82820 |
0,74504 |
0,67308 |
0,61251 |
0,56357 |
0,52645 |
0,50137 |
0,48854 |
0,48819 |0,50051 |
0,52573 |
0,56406 |
0,61570 |
0,00000 |

El hietograma a utilizar es de una tormenta de 2 horas:

Duracion | Intensidad(mm/hr) | | Precipitacion | | | | |
0,17 | 175,00 | 1,00 | 29,17 | 29,17 | 1,00 | 3,33 | |
0,33 | 155,00 | 2,00 | 51,67 | 22,50 | 2,00 | 5,83 | |
0,50 | 140,00 | 3,00 | 70,00 | 18,33 | 3,00 | 9,16 | |
0,67 | 125,00 | 4,00 | 83,33 | 13,33 | 4,00 |12,50 | |
0,83 | 115,00 | 5,00 | 95,83 | 12,50 | 5,00 | 18,33 | |
1,00 | 105,00 | 6,00 | 105,00 | 9,17 | 7,00 | 29,16 | |
1,17 | 100,00 | 7,00 | 116,67 | 11,67 | 6,00 | 22,50 | |
1,33 | 90,00 | 8,00 | 120,00 | 3,33 | 11,00 | 13,33 | |
1,50 | 85,00 | 9,00 | 127,50 | 7,50 | 8,00 | 11,66 | |
1,67 | 80,00 | 10,00 | 133,33 | 5,83 | 9,00 | 7,50 | |
1,83 | 75,00 | 11,00 | 137,50 |...