Curva de duracion CURVA DE DURACIÓN DE CAUDALES
Enviado por Teresa Castilo • 1 de Noviembre de 2017 • Informe • 1.862 Palabras (8 Páginas) • 355 Visitas
UNIVERSIDAD EL BOSQUE
CURVA DE DURACIÓN DE CAUDALES
PRESENTADO POR:
DIEGO ARMANDO AMAYA DOZA
LAURA BUENAVENTURA CASTILLO
YULI SARMIENTO SÁNCHEZ
MARÍA ALEJANDRA URREGO LEÓN
HIDROLOGÍA
Bogotá, D.C. septiembre 18 de 2017
Contenido
1. Marco Conceptual.
2. Marco Metodológico.
3. Desarrollo del Ejercicio.
4. Bibliografía.
MARCO CONCEPTUAL.
MARCO METODOLOGICO.
Tabla N°2. Poner formula de frecuencia,
Para hallar caudal medio se utiliza la mediana, que corresponde al 50% de los datos de los caudales.
Indice de variabilidad
Poner ecuación, y también lo de la tabla
Indice de regulación hídrica.
Ecuacion,
Comprobacion 2 indices:
Con ecuación
Caudal ambiental
DESARROLLO DEL EJERCICIO.
Para realizar el presente ejercicio se utilizaron los valores de caudales medios mensuales de la Corriente del Caquetá entre los años 1991 a 1998 medidos por el IDEAM. Estos datos fueron proporcionados por el profesor durante las sesiones de clase. [pic 1]
Para iniciar, se transcribieron los datos anteriormente mencionados en la siguiente tabla:
Tabla N°1. Caudales medios mensuales de la corriente del Caquetá durante 1991 y 1998.
[pic 2]
A continuación, se construye una tabla donde se relacionen los 216 caudales medios por mes de la tabla anterior, ordenados de mayor a menor, y la frecuencia que representa cada uno de estos. La frecuencia representa el tiempo en el que se mide cada caudal anual, es decir, el 100% es un año. Además, se calcula el caudal medio, que correspondería al valor que representa el 50% de los caudales medios hallados, con la ayuda de la función estadística “mediana”.
Tabla N° 2. Caudales medios ordenados en relación con la frecuencia acumulada.
No. | Meses | Caudales [pic 3] | Caudales ordenados [pic 4] | Frecuencia (%) |
1 | Enero | 1,400 | 7,440 | 0,460829493 |
2 | 3,909 | 6,503 | 0,921658986 | |
3 | 1,353 | 6,318 | 1,382488479 | |
4 | 2,619 | 6,273 | 1,843317972 | |
5 | 1,778 | 6,200 | 2,304147465 | |
6 | 1,783 | 6,000 | 2,764976959 | |
7 | 0,830 | 5,882 | 3,225806452 | |
8 | 0,764 | 5,680 | 3,686635945 | |
9 | 1,573 | 5,663 | 4,147465438 | |
10 | 1,275 | 5,638 | 4,608294931 | |
11 | 1,170 | 5,624 | 5,069124424 | |
12 | 1,226 | 5,370 | 5,529953917 | |
13 | 1,491 | 4,986 | 5,99078341 | |
14 | 1,780 | 4,820 | 6,451612903 | |
15 | 1,400 | 4,790 | 6,912442396 | |
16 | 1,900 | 4,787 | 7,373271889 | |
17 | 2,200 | 4,630 | 7,834101382 | |
18 | 0,580 | 4,541 | 8,294930876 | |
19 | Febrero | 1,900 | 4,400 | 8,755760369 |
20 | 2,835 | 4,400 | 9,216589862 | |
21 | 2,678 | 4,390 | 9,677419355 | |
22 | 1,611 | 4,381 | 10,13824885 | |
23 | 1,230 | 4,340 | 10,59907834 | |
24 | 1,496 | 4,340 | 11,05990783 | |
25 | 1,280 | 4,318 | 11,52073733 | |
26 | 0,959 | 4,290 | 11,98156682 | |
27 | 1,668 | 4,201 | 12,44239631 | |
28 | 2,325 | 4,153 | 12,90322581 | |
29 | 1,560 | 4,013 | 13,3640553 | |
30 | 1,286 | 4,005 | 13,82488479 | |
31 | 1,481 | 3,920 | 14,28571429 | |
32 | 2,120 | 3,909 | 14,74654378 | |
33 | 1,150 | 3,830 | 15,20737327 | |
34 | 2,276 | 3,739 | 15,66820276 | |
35 | 0,800 | 3,730 | 16,12903226 | |
36 | 0,850 | 3,710 | 16,58986175 | |
37 | Marzo | 1,120 | 3,710 | 17,05069124 |
38 | 2,956 | 3,696 | 17,51152074 | |
39 | 2,273 | 3,691 | 17,97235023 | |
40 | 1,013 | 3,650 | 18,43317972 | |
41 | 1,049 | 3,617 | 18,89400922 | |
42 | 2,715 | 3,600 | 19,35483871 | |
43 | 1,120 | 3,532 | 19,8156682 | |
44 | 0,904 | 3,410 | 20,2764977 | |
45 | 2,451 | 3,328 | 20,73732719 | |
46 | 2,896 | 3,270 | 21,19815668 | |
47 | 1,630 | 3,228 | 21,65898618 | |
48 | 1,548 | 3,179 | 22,11981567 | |
49 | 2,337 | 3,170 | 22,58064516 | |
50 | 2,080 | 3,140 | 23,04147465 | |
51 | 1,630 | 3,125 | 23,50230415 | |
52 | 2,300 | 3,120 | 23,96313364 | |
53 | 0,900 | 3,071 | 24,42396313 | |
54 | 0,610 | 3,070 | 24,88479263 | |
55 | Abril | 1,844 | 3,068 | 25,34562212 |
56 | 3,328 | 3,063 | 25,80645161 | |
57 | 4,630 | 3,050 | 26,26728111 | |
58 | 2,221 | 3,010 | 26,7281106 | |
59 | 1,284 | 2,980 | 27,18894009 | |
60 | 1,747 | 2,967 | 27,64976959 | |
61 | 2,080 | 2,956 | 28,11059908 | |
62 | 1,824 | 2,920 | 28,57142857 | |
63 | 1,343 | 2,896 | 29,03225806 | |
64 | 1,978 | 2,888 | 29,49308756 | |
65 | 1,550 | 2,880 | 29,95391705 | |
66 | 3,063 | 2,880 | 30,41474654 | |
67 | 3,070 | 2,870 | 30,87557604 | |
68 | 3,410 | 2,835 | 31,33640553 | |
69 | 2,780 | 2,817 | 31,79723502 | |
70 | 2,560 | 2,780 | 32,25806452 | |
71 | 0,500 | 2,715 | 32,71889401 | |
72 | 1,170 | 2,700 | 33,1797235 | |
73 | Mayo | 2,620 | 2,678 | 33,640553 |
74 | 2,342 | 2,640 | 34,10138249 | |
75 | 3,071 | 2,636 | 34,56221198 | |
76 | 2,581 | 2,620 | 35,02304147 | |
77 | 3,125 | 2,619 | 35,48387097 | |
78 | 1,390 | 2,616 | 35,94470046 | |
79 | 3,730 | 2,600 | 36,40552995 | |
80 | 1,621 | 2,581 | 36,86635945 | |
81 | 4,340 | 2,560 | 37,32718894 | |
82 | 3,532 | 2,507 | 37,78801843 | |
83 | 2,130 | 2,451 | 38,24884793 | |
84 | 1,585 | 2,429 | 38,70967742 | |
85 | 2,293 | 2,415 | 39,17050691 | |
86 | 3,710 | 2,380 | 39,63133641 | |
87 | 3,010 | 2,375 | 40,0921659 | |
88 | 2,380 | 2,360 | 40,55299539 | |
89 | 2,600 | 2,360 | 41,01382488 | |
90 | 1,920 | 2,342 | 41,47465438 | |
91 | Junio | 2,062 | 2,337 | 41,93548387 |
92 | 2,375 | 2,326 | 42,39631336 | |
93 | 2,235 | 2,325 | 42,85714286 | |
94 | 2,967 | 2,306 | 43,31797235 | |
95 | 4,381 | 2,300 | 43,77880184 | |
96 | 6,318 | 2,293 | 44,23963134 | |
97 | 2,920 | 2,290 | 44,70046083 | |
98 | 2,616 | 2,276 | 45,16129032 | |
99 | 5,882 | 2,273 | 45,62211982 | |
100 | 5,663 | 2,270 | 46,08294931 | |
101 | 2,870 | 2,235 | 46,5437788 | |
102 | 2,636 | 2,229 | 47,00460829 | |
103 | 3,739 | 2,221 | 47,46543779 | |
104 | 5,370 | 2,210 | 47,92626728 | |
105 | 2,290 | 2,200 | 48,38709677 | |
106 | 3,270 | 2,200 | 48,84792627 | |
107 | 1,000 | 2,189 | 49,30875576 | |
108 | 5,680 | 2,155 | 49,76958525 | |
109 | Julio | 4,153 | 2,148 | 50,23041475 |
110 | 4,201 | 2,140 | 50,69124424 | |
111 | 3,120 | 2,139 | 51,15207373 | |
112 | 3,617 | 2,130 | 51,61290323 | |
113 | 4,787 | 2,120 | 52,07373272 | |
114 | 6,273 | 2,112 | 52,53456221 | |
115 | 4,390 | 2,108 | 52,99539171 | |
116 | 4,290 | 2,102 | 53,4562212 | |
117 | 5,624 | 2,100 | 53,91705069 | |
118 | 4,986 | 2,093 | 54,37788018 | |
119 | 6,200 | 2,080 | 54,83870968 | |
120 | 4,318 | 2,080 | 55,29953917 | |
121 | 4,013 | 2,062 | 55,76036866 | |
122 | 5,638 | 2,057 | 56,22119816 | |
123 | 3,710 | 2,025 | 56,68202765 | |
124 | 7,440 | 2,023 | 57,14285714 | |
125 | 3,600 | 2,022 | 57,60368664 | |
126 | 6,000 | 2,013 | 58,06451613 | |
127 | Agosto | 1,312 | 1,993 | 58,52534562 |
128 | 3,920 | 1,985 | 58,98617512 | |
129 | 4,400 | 1,978 | 59,44700461 | |
130 | 2,013 | 1,959 | 59,9078341 | |
131 | 4,541 | 1,931 | 60,36866359 | |
132 | 2,148 | 1,920 | 60,82949309 | |
133 | 3,830 | 1,900 | 61,29032258 | |
134 | 2,093 | 1,900 | 61,75115207 | |
135 | 2,817 | 1,850 | 62,21198157 | |
136 | 4,005 | 1,844 | 62,67281106 | |
137 | 4,790 | 1,824 | 63,13364055 | |
138 | 4,400 | 1,783 | 63,59447005 | |
139 | 3,691 | 1,780 | 64,05529954 | |
140 | 6,503 | 1,778 | 64,51612903 | |
141 | 1,280 | 1,774 | 64,97695853 | |
142 | 3,050 | 1,770 | 65,43778802 | |
143 | 1,700 | 1,756 | 65,89861751 | |
144 | 4,340 | 1,747 | 66,359447 | |
145 | Septiembre | 2,189 | 1,740 | 66,8202765 |
146 | 2,507 | 1,725 | 67,28110599 | |
147 | 2,139 | 1,700 | 67,74193548 | |
148 | 2,022 | 1,700 | 68,20276498 | |
149 | 2,888 | 1,682 | 68,66359447 | |
150 | 1,682 | 1,668 | 69,12442396 | |
151 | 1,740 | 1,630 | 69,58525346 | |
152 | 1,362 | 1,630 | 70,04608295 | |
153 | 1,328 | 1,621 | 70,50691244 | |
154 | 1,959 | 1,613 | 70,96774194 | |
155 | 2,980 | 1,611 | 71,42857143 | |
156 | 2,155 | 1,585 | 71,88940092 | |
157 | 2,229 | 1,573 | 72,35023041 | |
158 | 3,650 | 1,560 | 72,81105991 | |
159 | 1,230 | 1,550 | 73,2718894 | |
160 | 2,640 | 1,548 | 73,73271889 | |
161 | 0,700 | 1,512 | 74,19354839 | |
162 | 4,820 | 1,496 | 74,65437788 | |
163 | Octubre | 2,360 | 1,491 | 75,11520737 |
164 | 2,023 | 1,481 | 75,57603687 | |
165 | 2,415 | 1,480 | 76,03686636 | |
166 | 3,179 | 1,450 | 76,49769585 | |
167 | 2,102 | 1,414 | 76,95852535 | |
168 | 2,057 | 1,400 | 77,41935484 | |
169 | 2,210 | 1,400 | 77,88018433 | |
170 | 1,232 | 1,400 | 78,34101382 | |
171 | 2,108 | 1,390 | 78,80184332 | |
172 | 1,613 | 1,369 | 79,26267281 | |
173 | 1,310 | 1,362 | 79,7235023 | |
174 | 1,369 | 1,360 | 80,1843318 | |
175 | 2,326 | 1,353 | 80,64516129 | |
176 | 2,880 | 1,351 | 81,10599078 | |
177 | 1,350 | 1,350 | 81,56682028 | |
178 | 2,360 | 1,343 | 82,02764977 | |
179 | 0,700 | 1,328 | 82,48847926 | |
180 | 1,850 | 1,312 | 82,94930876 | |
181 | Noviembre | 2,200 | 1,310 | 83,41013825 |
182 | 3,228 | 1,286 | 83,87096774 | |
183 | 1,253 | 1,284 | 84,33179724 | |
184 | 3,068 | 1,280 | 84,79262673 | |
185 | 2,112 | 1,280 | 85,25345622 | |
186 | 1,725 | 1,275 | 85,71428571 | |
187 | 1,360 | 1,253 | 86,17511521 | |
188 | 3,696 | 1,232 | 86,6359447 | |
189 | 1,931 | 1,230 | 87,09677419 | |
190 | 1,351 | 1,230 | 87,55760369 | |
191 | 1,770 | 1,226 | 88,01843318 | |
192 | 1,774 | 1,196 | 88,47926267 | |
193 | 3,140 | 1,190 | 88,94009217 | |
194 | 3,170 | 1,170 | 89,40092166 | |
195 | 1,400 | 1,170 | 89,86175115 | |
196 | 1,190 | 1,150 | 90,32258065 | |
197 | 0,800 | 1,120 | 90,78341014 | |
198 | 2,140 | 1,120 | 91,24423963 | |
199 | Diciembre | 2,306 | 1,090 | 91,70506912 |
200 | 1,985 | 1,049 | 92,16589862 | |
201 | 1,993 | 1,013 | 92,62672811 | |
202 | 1,414 | 1,000 | 93,0875576 | |
203 | 2,429 | 0,959 | 93,5483871 | |
204 | 1,512 | 0,904 | 94,00921659 | |
205 | 1,450 | 0,900 | 94,47004608 | |
206 | 2,700 | 0,850 | 94,93087558 | |
207 | 1,196 | 0,830 | 95,39170507 | |
208 | 1,480 | 0,800 | 95,85253456 | |
209 | 1,700 | 0,800 | 96,31336406 | |
210 | 1,756 | 0,764 | 96,77419355 | |
211 | 2,025 | 0,700 | 97,23502304 | |
212 | 2,880 | 0,700 | 97,69585253 | |
213 | 1,090 | 0,610 | 98,15668203 | |
214 | 2,100 | 0,580 | 98,61751152 | |
215 | 0,500 | 0,500 | 99,07834101 | |
216 | 2,270 | 0,500 | 99,53917051 | |
Caudal medio | 2,480 |
...