Volumen de Embalse

8/16/2019 Volumen de Embalse

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PROBLEMAS DE ESTRUCTURAS HIDRAULICAS

PROBLEMA 01 (examen parcial 1999 -I

Ene !e" Mar A"r Ma# $%n $%l A&'

A' 1 86.1 98.3 64.2 43.1 31.0 13.4 5.2 4.8

A' ) 74.6 80.1 56.3 38.2 24.1 7.3 4.9 5.8

S'l%ci'n

P 30000 kw

H 400 m

* 9+1,

Transformando el caudal a volumen mensual

).+/0/ MMC

Mee * (m. (MMC Ac%m *2 2 2 Ac%m Di3 'l 'l Em"

Enero 86.10 223.17 223.17 9.15 23.71 23.71 199.46

e!rero 98.30 254.79 477.96 9.15 23.71 47.41 430.55

"ar#o 64.20 166.41 644.37 9.15 23.71 71.12 573.25

$!r%l 43.10 111.72 756.09 9.15 23.71 94.83 661.26

"a&o 31.00 80.35 836.44 9.15 23.71 118.54 717.90

'un%o 13.40 34.73 871.17 9.15 23.71 142.24 728.93 29.391

'ul%o 5.20 13.48 884.65 9.15 23.71 165.95 718.70

$(os)o 4.80 12.44 897.09 9.15 23.71 189.66 707.43

*e+)%em!re 6.10 15.81 912.90 9.15 23.71 213.37 699.54

,c)u!re 14.90 38.62 951.52 9.15 23.71 237.07 714.45-ov%em!re 38.70 100.31 1051.83 9.15 23.71 260.78 791.05

/%c%em!re 59.00 152.93 1204.76 9.15 23.71 284.49 920.27

Enero 74.60 193.36 1398.12 9.15 23.71 308.20 1089.93

e!rero 80.10 207.62 1605.74 9.15 23.71 331.90 1273.84

"ar#o 56.30 145.93 1751.67 9.15 23.71 355.61 1396.06

$!r%l 38.20 99.01 1850.69 9.15 23.71 379.32 1471.37

"a&o 24.10 62.47 1913.16 9.15 23.71 403.02 1510.13 26.141

'un%o 7.30 18.92 1932.08 9.15 23.71 426.73 1505.35

'ul%o 4.90 12.70 1944.78 9.15 23.71 450.44 1494.34

$(os)o 5.80 15.03 1959.81 9.15 23.71 474.15 1485.66

*e+)%em!re 8.50 22.03 1981.84 9.15 23.71 497.85 1483.99

,c)u!re 18.30 47.43 2029.28 9.15 23.71 521.56 1507.72

-ov%em!re 46.20 119.75 2149.03 9.15 23.71 545.27 1603.76

*e )%ene el s%(u%en)e re(%s)ro de caudales med%os mensuales en un r%o de)erm%nados duran)e un +er%

der%var a(ua +ara una cen)ral %droelec)r%ca ue (enerara 30 ". on una al)ura de ca%da de 400 m. s

de em!alse reuer%do ue +erm%)a re(ular la descar(a & (aran)%#ar as% la d%s+on%!%l%dad de a(ua +ara

ener(%a.

a ca+ac%dad de una cen)ral se de)erm%na con la s%(u%en)e ecuac%on ue relac%ona la +o)enc%a P co

ca%da H

m.

()/3(2.8)( m H smQkw P =



/%c%em!re 63.80 165.37 2314.40 9.15 23.71 568.98 1745.42

PROBLEMA 0)


A' 19/9 22.1 25.8 18.7 14.2 6.5 3.0 2.6 3.8

A' 1940 23.8 28.4 16.3 10.2 4.8 2.6 2.4 3.5

S'l%ci'n

P 10000 kw

H 250 m

* 5+44


1)+655 MMC


Enero 22.1 57.28 57.28 4.88 12.64 12.64 44.64

e!rero 25.8 66.87 124.16 4.88 12.64 25.29 98.87

"ar#o 18.7 48.47 172.63 4.88 12.64 37.93 134.70

$!r%l 14.2 36.81 209.43 4.88 12.64 50.58 158.86

"a&o 6.5 16.85 226.28 4.88 12.64 63.22 163.06 13.57

'un%o 3.0 7.78 234.06 4.88 12.64 75.86 158.19'ul%o 2.6 6.74 240.80 4.88 12.64 88.51 152.29

En el +ro&ec)o de una cen)ral %droelec)r%ca ue a+roveca las a(uas de un r%o se )%ene

arac)er%s)%cas de la cen)ral H250 m. P10 "w.

! :e(%men de descar(as

a ca+ac%dad de una cen)ral se de)erm%na con la s%(u%en)e ecuac%on ue relac%ona la +o)enc%a P coca%da H

m.

0 5 10 15 20 25

0.00

500.00

1000.00

1500.00

2000.00

CUR-A MASA

TIEMPO (M ESES

- O

L U

M

E 7 (

M

M

C

()/3(2.8)( m H smQkw P =



$(os)o 3.8 9.85 250.65 4.88 12.64 101.15 149.50

*e+)%em!re 8.5 22.03 272.68 4.88 12.64 113.80 158.88

,c)u!re 12.6 32.66 305.34 4.88 12.64 126.44 178.90

-ov%em!re 18.5 47.95 353.29 4.88 12.64 139.08 214.21

/%c%em!re 20.9 54.17 407.46 4.88 12.64 151.73 255.74

Enero 23.8 61.69 469.15 4.88 12.64 164.37 304.78

e!rero 28.4 73.61 542.76 4.88 12.64 177.01 365.75

"ar#o 16.3 42.25 585.01 4.88 12.64 189.66 395.36

$!r%l 10.2 26.44 611.45 4.88 12.64 202.30 409.15 16.10

"a&o 4.8 12.44 623.89 4.88 12.64 214.95 408.95

'un%o 2.6 6.74 630.63 4.88 12.64 227.59 403.04

'ul%o 2.4 6.22 636.85 4.88 12.64 240.23 396.62

$(os)o 3.5 9.07 645.93 4.88 12.64 252.88 393.05

*e+)%em!re 7.8 20.22 666.14 4.88 12.64 265.52 400.62

,c)u!re 14.5 37.58 703.73 4.88 12.64 278.17 425.56

-ov%em!re 25.9 67.13 770.86 4.88 12.64 290.81 480.05

/%c%em!re 32.7 84.76 855.62 4.88 12.64 303.45 552.17

PROBLEMA 0.

S'l%ci'n

* 4+00


)0+/.6 MMC


'an;84 16.9 43.80 43.80 8.00 20.74 20.74 23.07

e!;84 14.5 37.58 81.39 8.00 20.74 41.47 39.92

"ar;84 13.1 33.96 115.34 8.00 20.74 62.21 53.14

$+r;84 10.6 27.48 142.82 8.00 20.74 82.94 59.88

"a&;84 9.8 25.40 168.22 8.00 20.74 103.68 64.54 14.00'un;84 7.5 19.44 187.66 8.00 20.74 124.42 63.24

as a(uas de un r%o del cual se )%ene un re(%s)ro de caudales de cor)a e<)ens%on 5 a=os seran a+rove%rr%(ac%on s% el caudal de demanda es 8 m3>s se +%de efec)uar un anal%s%s de los reuer%m%en)os de aldemandas.

m.

0 5 10 15 20 250.00

100.00

200.00

300.00

400.00

500.00

600.00

CUR-A MASA

TIEMPO (MESES

- O

L U M

E 7 (

M

M

C



'ul;84 4.3 11.15 198.81 8.00 20.74 145.15 53.65

$u(;84 6.8 17.63 216.43 8.00 20.74 165.89 50.54

*e+;84 9.8 25.40 241.83 8.00 20.74 186.62 55.21

,c);84 10.6 27.48 269.31 8.00 20.74 207.36 61.95

-ov;84 11.8 30.59 299.89 8.00 20.74 228.10 71.80

/ec;84 12.0 31.10 331.00 8.00 20.74 248.83 82.17

'an;85 18.0 46.66 377.65 8.00 20.74 269.57 108.09

e!;85 21.9 56.76 434.42 8.00 20.74 290.30 144.12

"ar;85 15.6 40.44 474.85 8.00 20.74 311.04 163.81

$+r;85 13.2 34.21 509.07 8.00 20.74 331.78 177.29

"a&;85 10.7 27.73 536.80 8.00 20.74 352.51 184.29

'un;85 9.2 23.85 560.65 8.00 20.74 373.25 187.40 9.85

'ul;85 5.6 14.52 575.16 8.00 20.74 393.98 181.18

$u(;85 6.6 17.11 592.27 8.00 20.74 414.72 177.55

*e+;85 8.5 22.03 614.30 8.00 20.74 435.46 178.85

,c);85 9.8 25.40 639.71 8.00 20.74 456.19 183.51

-ov;85 10.7 27.73 667.44 8.00 20.74 476.93 190.51

/ec;85 11.5 29.81 697.25 8.00 20.74 497.66 199.58'an;86 17.9 46.40 743.64 8.00 20.74 518.40 225.24

e!;86 20.8 53.91 797.56 8.00 20.74 539.14 258.42

"ar;86 14.8 38.36 835.92 8.00 20.74 559.87 276.05

$+r;86 12.6 32.66 868.58 8.00 20.74 580.61 287.97

"a&;86 10.1 26.18 894.76 8.00 20.74 601.34 293.41

'un;86 8.6 22.29 917.05 8.00 20.74 622.08 294.97 13.74

'ul;86 3.7 9.59 926.64 8.00 20.74 642.82 283.82

$u(;86 7.0 18.14 944.78 8.00 20.74 663.55 281.23

*e+;86 10.8 27.99 972.78 8.00 20.74 684.29 288.49

,c);86 11.9 30.84 1003.62 8.00 20.74 705.02 298.60

-ov;86 12.2 31.62 1035.24 8.00 20.74 725.76 309.48

/ec;86 14.0 36.29 1071.53 8.00 20.74 746.50 325.04'an;87 19.0 49.25 1120.78 8.00 20.74 767.23 353.55

e!;87 24.9 64.54 1185.32 8.00 20.74 787.97 397.35

"ar;87 17.6 45.62 1230.94 8.00 20.74 808.70 422.24

$+r;87 14.8 38.36 1269.30 8.00 20.74 829.44 439.86

"a&;87 9.2 23.85 1293.15 8.00 20.74 850.18 442.97 23.59

'un;87 7.9 20.48 1313.63 8.00 20.74 870.91 442.71

'ul;87 2.9 7.52 1321.14 8.00 20.74 891.65 429.49

$u(;87 4.6 11.92 1333.07 8.00 20.74 912.38 420.68

*e+;87 7.5 19.44 1352.51 8.00 20.74 933.12 419.39

,c);87 8.4 21.77 1374.28 8.00 20.74 953.86 420.42

-ov;87 9.3 24.11 1398.38 8.00 20.74 974.59 423.79

/ec;87 9.6 24.88 1423.27 8.00 20.74 995.33 427.94

'an;88 14.3 37.07 1460.33 8.00 20.74 1016.06 444.27

e!;88 15.6 40.44 1500.77 8.00 20.74 1036.80 463.97

"ar;88 12.0 31.10 1531.87 8.00 20.74 1057.54 474.34

$+r;88 11.8 30.59 1562.46 8.00 20.74 1078.27 484.19

"a&;88 8.6 22.29 1584.75 8.00 20.74 1099.01 485.74 19.44

'un;88 7.5 19.44 1604.19 8.00 20.74 1119.74 484.44

'ul;88 3.9 10.11 1614.30 8.00 20.74 1140.48 473.82

$u(;88 5.1 13.22 1627.52 8.00 20.74 1161.22 466.30

*e+;88 8.8 22.81 1650.33 8.00 20.74 1181.95 468.37

,c);88 10.1 26.18 1676.51 8.00 20.74 1202.69 473.82

-ov;88 11.8 30.59 1707.09 8.00 20.74 1223.42 483.67/ec;88 12.6 32.66 1739.75 8.00 20.74 1244.16 495.59



PROBLEMA 05


A' 1 126.2 131.8 143.2 94.9 67.9 50.6 56.3 70.5

n 0.85

30 m

S'l%ci'n

P 7500 kw

* )9+94


//+/1) MMC

Mee (MMC Ac%m *2 2 2 Ac%m Di3 'l 'l Em"Enero 126.2 126.20 29.98 77.712 77.71 48.49

os volumenes mensuales descar(ados +or un r%o duran)e un a=o seco son las a(uas de d%ca+rovecam%en)o %droelec)r%co ue desarrollara una +o)enc%a ne)a de P7500 ?w. *E +%dealmacenam%en)o reuer%da de un reservor%o de re(ulac%on anual ue (aran)%ce ela almacenam%e

m.

-ov;83 'un;84 'an;85 'ul;85 e!;86 $u(;86 "ar;87 *e+;87 $+r

0.00

100.00

200.00

300.00

400.00

500.00

600.00

C%r8a Maa

Tiemp' (Mee

- ' l % m e n ( M

M C

P(kw)=9.81nQ(m 3/s ) H (m)



e!rero 131.8 258.00 29.98 77.712 155.42 102.58

"ar#o 143.2 401.20 29.98 77.712 233.14 168.06

$!r%l 94.9 496.10 29.98 77.712 310.85 185.25 65.55

"a&o 67.9 564.00 29.98 77.712 388.56 175.44

'un%o 50.6 614.60 29.98 77.712 466.27 148.33

'ul%o 56.3 670.90 29.98 77.712 543.98 126.92

$(os)o 70.5 741.40 29.98 77.712 621.69 119.71

*e+)%em!re 86.3 827.70 29.98 77.712 699.41 128.29

,c)u!re 93.4 921.10 29.98 77.712 777.12 143.98

-ov%em!re 109.0 1030.10 29.98 77.712 854.83 175.27

/%c%em!re 119.1 1149.20 29.98 77.712 932.54 216.66

PROBLEMA 0, (examen parcial 1994 -I

os caudales med%os mensuales de un r%o son


A' 1 185.1 228.6 198.2 124.1 66.4 38.2 16.4 18.2

S'l%ci'n


Enero 185.1 479.78 479.78 24.76 64.174 64.17 415.61

e!rero 228.6 592.53 1072.31 24.76 64.174 128.35 943.96

"ar#o 198.2 513.73 1586.04 24.76 64.174 192.52 1393.52

$!r%l 124.1 321.67 1907.71 24.76 64.174 256.69 1651.02

"a&o 66.4 172.11 2079.82 24.76 64.174 320.87 1758.95

'un%o 38.2 99.01 2178.84 24.76 64.174 385.04 1793.79 38.664

'ul%o 16.4 42.51 2221.34 24.76 64.174 449.22 1772.13

$(os)o 18.2 47.17 2268.52 24.76 64.174 513.39 1755.13

*e+)%em!re 40.7 105.49 2374.01 24.76 64.174 577.56 1796.45

,c)u!re 62.8 162.78 2536.79 24.76 64.174 641.74 1895.05

-ov%em!re 85.5 221.62 2758.41 24.76 64.174 705.91 2052.50/%c%em!re 124.2 321.93 3080.33 24.76 64.174 770.08 2310.25

*% se )%ene +rev%s)o desarrollar un a+rovecam%en)o ue )endra como caudal de demanda el 25 @ del cde)erm%ne el volumen de em!alse reuer%do.

0 2 4 6 8 10 12

0.00

50.00

100.00

150.00

200.00

250.00

C%r8a Ma0a

Tiemp' (Me0e0

- ' l % m

e n e 0 ( M M C



T'al 1144+5

Me2ia 99+0

Ca%2al (),: )5+/6

'l Men%al 65+1/5 MMC

m.

m.

m.

0 2 4 6 8 10 12

0.00

500.00

1000.00

1500.00

2000.00

2500.00

CUR-A MASA

TIEMPO (M ESES

- O

L U M

E 7

( M

M

C



Sep Oc 7'8 Dic

6.1 14.9 38.7 59.0

8.5 18.3 46.2 63.8

do seco. *% se )%ene +rev%s)o

e +%de de)erm%nar el volumen

+ro+os%)os de (enerac%on de

el caudal & la al)ura de



Sep Oc 7'8 Dic

8.5 12.6 18.5 20.9

7.8 14.5 25.9 32.7

a

el caudal & la al)ura de



cadas +ara un +ro&ec)o deacenam%en)o +ara cu!r%r las



Sep Oc 7'8 Dic

86.3 93.4 109.0 119.1

o r%o se u)%l%#aran +ara une)erm%nar la ca+ac%dad den)o del caudal demandado

;88 -ov;88 "a&;89



Sep Oc 7'8 Dic

40.7 62.8 85.5 124.2

audal med%o anual del r%o



PROBLEMA 01

os caudales med%os mensuales son los %nd%cados en la )a!la s%(u%en)e

Ene !e" Mar A"r Ma# $%n $%l A&' Sep

A' 1 68.2 84.3 76.5 48.6 32.3 12.6 8.8 10.9 24.7

*% en d%co curso se cuen)a con un reservor%o de 100 "" de ca+ac%dad cual es el caudal cons)an)e ue +

S'l%ci'n

*e real%#ara )an)eos asum%endo caudales de d%se=o

Primer ane'

* ),+00


65+400 MMC


Enero 68.2 176.77 176.77 25.00 64.800 64.80 111.97

e!rero 84.3 218.51 395.28 25.00 64.800 129.60 265.68

"ar#o 76.5 198.29 593.57 25.00 64.800 194.40 399.17

$!r%l 48.6 125.97 719.54 25.00 64.800 259.20 460.34

"a&o 32.3 83.72 803.26 25.00 64.800 324.00 479.26 111.46

'un%o 12.6 32.66 835.92 25.00 64.800 388.80 447.12

'ul%o 8.8 22.81 858.73 25.00 64.800 453.60 405.13

$(os)o 10.9 28.25 886.98 25.00 64.800 518.40 368.58

*e+)%em! 24.7 64.02 951.00 25.00 64.800 583.20 367.80,c)u!re 35.1 90.98 1041.98 25.00 64.800 648.00 393.98

-ov%em! 46.8 121.31 1163.29 25.00 64.800 712.80 450.49

/%c%em!r 59.2 153.45 1316.74 25.00 64.800 777.60 539.14

Se&%n2' ane'

* )5+00


6)+)04 MMC


Enero 68.2 176.77 176.77 24.00 62.208 62.21 114.57

e!rero 84.3 218.51 395.28 24.00 62.208 124.42 270.86

"ar#o 76.5 198.29 593.57 24.00 62.208 186.62 406.94

$!r%l 48.6 125.97 719.54 24.00 62.208 248.83 470.71

"a&o 32.3 83.72 803.26 24.00 62.208 311.04 492.22 102.90

'un%o 12.6 32.66 835.92 24.00 62.208 373.25 462.67

'ul%o 8.8 22.81 858.73 24.00 62.208 435.46 423.27

$(os)o 10.9 28.25 886.98 24.00 62.208 497.66 389.32

*e+)%em! 24.7 64.02 951.00 24.00 62.208 559.87 391.13

,c)u!re 35.1 90.98 1041.98 24.00 62.208 622.08 419.90-ov%em! 46.8 121.31 1163.29 24.00 62.208 684.29 479.00

m.

m.



/%c%em!r 59.2 153.45 1316.74 24.00 62.208 746.50 570.24

Tercer ane' (Uili;an2' <erramiena "%car '"=ei8'

* ).+6.


61+)51 MMC


Enero 68.2 176.77 176.77 23.63 61.241 61.24 115.53

e!rero 84.3 218.51 395.28 23.63 61.241 122.48 272.80

"ar#o 76.5 198.29 593.57 23.63 61.241 183.72 409.85

$!r%l 48.6 125.97 719.54 23.63 61.241 244.96 474.58

"a&o 32.3 83.72 803.26 23.63 61.241 306.20 497.06 100.00

'un%o 12.6 32.66 835.92 23.63 61.241 367.44 468.48

'ul%o 8.8 22.81 858.73 23.63 61.241 428.68 430.05 $(os)o 10.9 28.25 886.98 23.63 61.241 489.92 397.06

*e+)%em! 24.7 64.02 951.00 23.63 61.241 551.16 399.84

,c)u!re 35.1 90.98 1041.98 23.63 61.241 612.41 429.58

-ov%em! 46.8 121.31 1163.29 23.63 61.241 673.65 489.64

/%c%em!r 59.2 153.45 1316.74 23.63 61.241 734.89 581.85

m.



Oc 7'8 Dic

35.1 46.8 59.2

uede ser a+rovecado



PROBLEMA 01

Ene !e" Mar A"r Ma# $%n $%l A&' Sep

A' 1 126.2 131.8 143.2 94.9 67.9 50.6 56.3 70.5 86.3

n 0.85

30 m

S'l%ci'n

P 7500 kw* )9+94


//+/1) MMC

Mee (MMC Ac%m *2 2 2 Ac%m Di3 'l 'l Em"

Enero 126.2 126.20 29.98 77.712 77.71 48.49

e!rero 131.8 258.00 29.98 77.712 155.42 102.58

"ar#o 143.2 401.20 29.98 77.712 233.14 168.06

$!r%l 94.9 496.10 29.98 77.712 310.85 185.25 65.55

"a&o 67.9 564.00 29.98 77.712 388.56 175.44'un%o 50.6 614.60 29.98 77.712 466.27 148.33

'ul%o 56.3 670.90 29.98 77.712 543.98 126.92

$(os)o 70.5 741.40 29.98 77.712 621.69 119.71

*e+)%em! 86.3 827.70 29.98 77.712 699.41 128.29

,c)u!re 93.4 921.10 29.98 77.712 777.12 143.98

-ov%em! 109.0 AAA 29.98 77.712 854.83 175.27

/%c%em!r 119.1 AAA 29.98 77.712 932.54 216.66

os volumenes mensuales descar(ados +or un r%o duran)e un a=o seco son las a(uas de d%coa+rovecam%en)o %droelec)r%co ue desarrollara una +o)enc%a ne)a de P7500 ?w. *E +%de de)ealmacenam%en)o reuer%da de un reservor%o de re(ulac%on anual ue (aran)%ce ela almacenam%en)o

m.

P(kw)=9.81nQ(m 3/s ) H (m)

0 2 4 6 8 10 12

0.00

50.00

100.00

150.00

200.00

250.00

C%r8a Ma0a

Tiemp' (Me0e0

- ' l % m

e n e 0 ( M M C



Oc 7'8 Dic

93.4 109.0 119.1

%o se u)%l%#aran +ara unrm%nar la ca+ac%dad dedel caudal demandado

Volumen de Embalse

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