Post on 10-Jul-2016
description
Hidrograma de Entrada
t
(h)
QE
(m³/s)
0.0 20.00
0.5 50.00
1.0 150.00
1.5 550.00
2.0 750.00
2.5 725.00
3.0 625.00
3.5 450.00
4.0 300.00
4.5 200.00
5.0 125.00
5.5 80.00
6.0 60.00
0
100
200
300
400
500
600
700
800
0.0 1.0 2.0 3.0 4.0 5.0 6.0
Cau
dal
(m
³/s)
Tiempo (h)
Hidrograma de Entrada
Curva de Gasto y Curva Auxiliar
QSS S
37.50 1.25 0.50
h
(m)
QSS
(m³/s)
S
(Hm³)
2S/Δt
(m³/s)
2S/Δt + QSS
(m³/s)
2S/Δt - QSS
(m³/s)
0.00 0.00 0.000 0.00 0.00 0.00
0.50 13.26 0.625 694.44 707.70 681.19
1.00 37.50 1.250 1,388.89 1,426.39 1,351.39
1.50 68.89 1.875 2,083.33 2,152.23 2,014.44
2.00 106.07 2.500 2,777.78 2,883.84 2,671.71
2.50 148.23 3.125 3,472.22 3,620.45 3,323.99
3.00 194.86 3.750 4,166.67 4,361.52 3,971.81
3.50 245.55 4.375 4,861.11 5,106.66 4,615.56
4.00 300.00 5.000 5,555.56 5,855.56 5,255.56
4.50 357.97 5.625 6,250.00 6,607.97 5,892.03
5.00 419.26 6.250 6,944.44 7,363.71 6,525.18
Factores para Ecuaciones Δt
(h)
(*) En casos reales se debe evaluar "h" en intervalos mucho más pequeños.
0
50
100
150
200
250
300
350
400
450
0 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000
QSS
(m
³/s)
2S/Δt + QSS (m³/s)
Curva Auxiliar
Tránsito de Creciente
h (m) 0.00
S (Hm³) 0.00 273.84 4.70 3.76
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12)
t
(h)
QE
(m³/s)
QSC
(m³/s)
2S2/Δt + QSS2
(m³/s)
QSS
(m³/s)
2S1/Δt - QSS1
(m³/s)
QS
(m³/s)
QE - QS
(m³/s)
QE - QS
(m³/s)
ΔS
(Hm³)
S
(Hm³)
h
(m)
0.00 20.00 0.00 0.00 0.00 0.00 0.00 20.00 - - 0.000 0.000
0.50 50.00 0.00 70.00 1.31 67.38 1.31 48.69 34.34 0.062 0.062 0.049
1.00 150.00 0.00 267.38 5.01 257.36 5.01 144.99 96.84 0.174 0.236 0.189
1.50 550.00 0.00 957.36 21.68 914.00 21.68 528.32 336.66 0.606 0.842 0.674
2.00 750.00 0.00 2,214.00 72.03 2,069.94 72.03 677.97 603.14 1.086 1.928 1.542
2.50 725.00 0.00 3,544.94 143.91 3,257.12 143.91 581.09 629.53 1.133 3.061 2.449
3.00 625.00 0.00 4,607.12 211.56 4,183.99 211.56 413.44 497.26 0.895 3.956 3.165
3.50 450.00 0.00 5,258.99 256.62 4,745.75 256.62 193.38 303.41 0.546 4.502 3.602
4.00 300.00 0.00 5,495.75 273.84 4,948.07 273.84 26.16 109.77 0.198 4.700 3.760
4.50 200.00 0.00 5,448.07 270.37 4,907.33 270.37 -70.37 -22.10 -0.040 4.660 3.728
5.00 125.00 0.00 5,232.33 254.68 4,722.96 254.68 -129.68 -100.03 -0.180 4.480 3.584
5.50 80.00 0.00 4,927.96 233.39 4,461.18 233.39 -153.39 -141.54 -0.255 4.225 3.380
6.00 60.00 0.00 4,601.18 211.16 4,178.86 211.16 -151.16 -152.27 -0.274 3.951 3.161
Columna
1
2
3
4
5
6
7
8
9
10
11
12 Curva de Capacidad a partir de (11)
Dato - Hidrograma de Entrada
Dato - Hidrograma de Entrada
Dato - Reglas de Operación
Curva Auxiliar a partir de (4)
Explicación
Valores Máximos
QSS
(m³/s)
S
(Hm³)
h
(m)
Condición Inicial
Tránsito de Creciente
2𝑆2
∆𝑡+ 𝑄𝑆𝑆2 = 𝑄𝐸1 + 𝑄𝐸2 +
2𝑆1
∆𝑡− 𝑄𝑆𝑆1 − 𝑄𝑆𝐶1 + 𝑄𝑆𝐶2
4 𝑖= 2 𝑖−1 + 2 𝑖 + 6 𝑖−1 − 3 𝑖−1 + 3 𝑖
2𝑆1
∆𝑡− 𝑄𝑆𝑆1 =
2𝑆2
∆𝑡+ 𝑄𝑆𝑆2 − 2 ∗ 𝑄𝑆𝑆2
6 𝑖 = 4 𝑖 − 2 ∗ 5 𝑖
𝑄𝑆 = 𝑄𝑆𝑆 + 𝑄𝑆𝐶
7 𝑖 = 5 𝑖 + 3 𝑖
𝑄𝐸 − 𝑄𝑆
8 𝑖 = 7 𝑖 − (2)𝑖
𝑄𝐸 − 𝑄𝑆
9 𝑖 =(8)𝑖−1+(8)𝑖
2
∆𝑆 = 𝑄𝐸 − 𝑄𝑆 ∗ ∆𝑡
10 𝑖 = 9 𝑖 ∗ 1 𝑖 − 1 𝑖−1 ∗ 3600
𝑆𝑖 = 𝑆𝑖−1 + ∆𝑆𝑖
11 𝑖 = 11 𝑖−1 + (10)𝑖
0
100
200
300
400
500
600
700
800
0.0 1.0 2.0 3.0 4.0 5.0 6.0
Cau
dal
(m
³/s)
Tiempo (h)
Tránsito de Creciente Hidrogramas
Entrada Salida
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
0.0 1.0 2.0 3.0 4.0 5.0 6.0
Alt
ura
so
bre
el N
ive
l de
Aliv
io (
m)
Tiempo (h)
Tránsito de Creciente Variación del Nivel de Agua