Curvas Idf - Edit

8/16/2019 Curvas Idf - Edit

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Estación: Santiago de TunaDepartamento: LimaProvincia: Lima Distrito: Santiago de Tuna

DATOS DE : PRECIPITACIÓN TO

AÑO ENE FEB MAR ABR MAY JUN JUL1965 47.40 97.30 103.90 22.00 1.70 0.00 0.30

1966 29.60 19.60 110.80 3.30 5.30 0.00 0.001967 135.80 320.40 121.10 6.50 1.00 0.00 0.80

1968 0.10 11.60 23.90 14.30 6.20 0.20 0.00

1969 11.90 105.20 101.40 7.70 0.00 0.00 0.00

1970 185.50 86.20 20.40 11.80 0.00 0.00 0.00

1971 33.90 87.10 130.30 3.30 0.00 0.00 0.00

1972 38.70 118.10 304.00 0.00 0.00 0.00 0.00

1973 78.50 33.20 162.30 12.50 0.00 0.00 0.00

1974 19.00 130.90 121.30 0.00 0.00 0.00 0.00

1975 10.00 53.00 105.20 0.00 0.00 0.00 0.00

1976 65.20 149.70 38.60 3.00 0.00 0.00 0.00

1977 34.50 209.90 109.20 17.70 0.00 0.00 0.00

1978 19.10 25.80 92.50 0.00 0.00 0.00 0.001979 2.50 11.50 155.80 3.60 0.00 0.00 0.00

1980 29.40 37.80 42.00 13.30 0.00 0.00 0.00

1981 58.39 117.01 130.54 3.23 0.00 0.00 0.00

1982 61.50 171.26 80.09 10.88 0.00 0.00 0.08

1983 18.00 55.11 136.74 14.52 0.47 0.01 0.00

1984 52.79 209.39 184.18 6.10 2.53 0.07 0.00

1985 35.39 87.95 130.99 7.89 1.64 0.02 0.00

1986 176.23 174.56 191.22 10.82 1.70 0.00 0.58

1987 56.30 91.88 61.12 5.28 0.73 0.00 0.12

1988 50.71 77.60 96.51 11.86 0.88 0.01 0.06

1989 145.66 189.55 214.23 4.43 0.73 0.01 0.00

1990 42.00 25.27 41.96 5.01 1.68 0.05 0.011991 11.06 35.84 111.38 5.25 0.55 0.00 0.03

1992 8.66 28.27 44.88 3.09 0.11 0.00 0.00

1993 121.56 97.32 115.67 18.54 0.53 0.00 0.02

SUMA 1579.35 2858.31 3282.21 225.90 25.75 0.37 2.00MEDIA 54.46 98.56 113.18 7.79 0.89 0.01 0.07

DATOS DE : PRECIPITACIÓN MÁXIMA

AÑO ENE FEB MAR ABR MAY JUN JUL1965

19661967

1968

1969

1970

1971

1972

1973

1974

1975


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1976

1977

1978

1979

1980

1981

1982

19831984

1985

1986

1987

1988

1989

1990

1991

1992

1993

MAX


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Latitud: 11º 59' 00"Longitud: !º 1' 00"#$tura msnm: %&9%

TAL (mm)

A"O SEP OCT NO# DIC ANUAL0.00 0.30 9.60 0.20 0.50 283.20 MAR

0.00 0.00 23.20 0.10 5.10 197.00 MAR0.00 0.00 9.90 3.40 15.30 614.20 FEB

0.00 0.10 1.30 2.10 5.30 65.10 MAR

0.00 0.00 7.30 12.60 27.60 273.70 FEB

0.00 21.20 5.00 9.70 7.90 347.70 ENE

0.00 0.00 0.20 0.00 27.80 282.60 MAR

0.00 0.00 2.00 0.00 14.20 477.00 MAR

0.00 5.50 2.30 4.90 8.20 307.40 MAR

0.00 0.00 0.00 2.80 24.00 298.00 FEB

0.00 0.00 0.00 0.00 59.30 227.50 MAR

0.00 0.00 0.00 0.00 1.80 258.30 FEB

0.00 0.00 0.00 9.80 90.10 471.20 FEB

0.00 0.00 3.00 0.80 4.20 145.40 MAR0.00 0.00 0.00 0.00 1.20 174.60 MAR

0.00 0.00 3.50 2.10 2.90 131.00 MAR

0.00 1.86 3.70 5.11 31.70 351.54 MAR

0.00 1.07 7.61 5.19 9.89 347.57 FEB

0.00 4.63 3.89 1.48 39.97 274.82 MAR

0.00 0.44 16.02 12.47 45.24 529.23 FEB

0.00 4.04 1.65 2.13 28.48 300.18 MAR

0.00 19.45 1.48 3.72 26.74 606.50 MAR

0.00 2.19 1.44 4.06 19.85 242.97 FEB

0.00 2.43 4.70 2.68 11.36 258.80 MAR

0.00 12.58 7.95 1.30 2.88 579.32 MAR

0.00 0.44 5.13 9.87 36.54 167.96 ENE0.00 0.84 4.04 1.27 7.70 177.96 MAR

0.00 0.00 5.85 0.67 5.93 97.46 MAR

0.00 0.42 1.19 1.03 3.76 360.04 ENE

0.00 77.49 131.95 99.48 565.44 8848.25

0.00 2.67 4.55 3.43 19.50 305.11

EN 24 Hr! (mm)

A"O SEP OCT NO# DIC ANUAL26.70

42.0078.10

13.50

25.10

89.90

36.20

37.00

49.70

27.70

24.00


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20.50

42.10

25.30

31.10

20.60

46.50

35.80

46.3038.60

18.60

30.70

22.00

28.20

33.50

36.80

33.20

5.80

38.70

89.90


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(D)*L*+,#

-E-*)(# DE .#L./L*

En este acápite se determinan !s ca"daes de as c"encas # s"$c"encas p!r e m%t!d! raci!na.

EST(-#.(* DE L# P)E.(P(T#.(* -#(-# P)*2#2LE

&e tra$a'ará c!n a serie an"a de má(im!s c!rresp!ndiente a a estaci)n B!i*ar.

+e$id! a a ,ata de p"*i)-ra,!s en as estaci!nes pr)(imas a siti! de pr!#ect! /"e permitan "nadeterminaci)n directa de as c"r*as de intensidad d"raci)n ,rec"encia se tra$a') s!$re a $asede re-istr!s de má(imas precipitaci!nes diarias.

a precipitaci)n má(ima pr!$a$e es a/"ea ma-nit"d de "*ia /"e !c"rre s!$re "na c"encapartic"ar en a c"a -enerará "n -ast! de a*enida para e /"e *irt"amente n! e(iste ries-! deser e(cedid!.

!s di*ers!s pr!cedimient!s de estimaci)n de a precipitaci)n má(ima pr!$a$e n! estánn!rmaiad!s #a /"e *aran principamente c!n a cantidad # caidad de !s dat!s disp!ni$esademás cam$ian c!n e tama! de a c"enca s" empaamient! # s" t!p!-ra,a c!n !s tip!s detemp!raes /"e pr!d"cen as precipitaci!nes e(tremas # c!n e cima. !s m%t!d!s de estimaci)nde ,áci # rápida apicaci)n s!n !s empric!s # e estadstic!.

A"n/"e e(iste "n nmer! imp!rtante de distri$"ci!nes de pr!$a$iidad empeadas en idr!!-as!n s)! "nas c"antas as c!m"nmente "tiiadas de$id! a /"e !s dat!s idr!)-ic!s de di*ers!stip!s an pr!$ad! en repetidas !casi!nes a'"starse satis,act!riamente a "n ciert! m!de! te)ric!.

as "*ias má(imas !rarias ! diarias p!r ! c!mn se a'"stan $ien a a distri$"ci)n de *a!rese(trem!s tip! ! "m$e a a !-:ears!n tip! # a a -amma inc!mpeta. En este pr!#ect! seempe) a distri$"ci)n "m$e.


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Registros pluviométricos Estación Bolivar - Método Gumbel

N! A!Mes :recipitaci)n ;mm<

Ma(. :recip. xi (xi - x)^2

1 1965 MAR 26.7 62.85

2 1966 MAR 42.0 54.35

3 1967 FEB 78.1 1889.854 1968 MAR 13.5 446.37

5 1969 FEB 25.1 90.77

6 1970 ENE 89.9 3055.04

7 1971 MAR 36.2 2.47

8 1972 MAR 37.0 5.63

9 1973 MAR 49.7 227.18

10 1974 FEB 27.7 47.99

11 1975 MAR 24.0 112.95

12 1976 FEB 20.5 199.59

13 1977 FEB 42.1 55.84

14 1978 MAR 25.3 87.00

15 1979 MAR 31.1 12.44

16 1980 MAR 20.6 196.77

17 1981 MAR 46.5 140.95

18 1982 FEB 35.8 1.37

19 1983 MAR 46.3 136.25

20 1984 FEB 38.6 15.78

21 1985 MAR 18.6 256.88

22 1986 MAR 30.7 15.43

23 1987 FEB 22.0 159.46

24 1988 MAR 28.2 41.31

25 1989 MAR 33.5 1.27

26 1990 ENE 36.8 4.72

27 1991 MAR 33.2 2.04

28 1992 MAR 5.8 831.03

29 1993 ENE 38.7 16.58

Suma 1004.2 8170.18

34.63 mm

17.08 mm

13.32 mm

26.94 mm

==∑n

x x

i

( )=

−

−

=

∑=

1

1

2

n

x x

S

n

i

i

== s*6

π

α

=−= α *5772.0 xu


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:ara e m!de! de pr!$a$iidad=

&e-n e est"di! de mies de estaci!nes a! de dat!s de "*ia reaiad! p!r . . >ess !s res"tad!s de"n anáisis pr!$a$istic! e*ad! a ca$! c!n "*ias má(imas an"aes t!madas en "n nic! # ,i'! inter*a! de!$ser*aci)n a ser incrementad!s en "n 13? c!nd"can a ma-nit"des más apr!(imadas a as !$tenidas en

e anáisis $asad! en "*ias má(imas *erdaderas. :!r tant! e *a!r representati*! ad!ptad! para a c"encaserá m"tipicad! p!r 1.13 para a'"star! p!r inter*a! ,i'! # nic! de !$ser*aci)n.

( )

−−

−= α

u x

e

x e F


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Cálculo para distintas frecuencias

Periodo Variable Precip Prob de Corrección

Retorno Reducida !mm" ocurrencia intervalo fi#o

$%os &' (')!mm" *!+'" (' !mm"

2 0.3665 31.8215 0.5000 35.9583

5 1.4999 46.9173 0.8000 53.016610 2.2504 56.9120 0.9000 64.3106

25 3.1985 69.5404 0.9600 78.5807

50 3.9019 78.9089 0.9800 89.1670

75 4.3108 84.3541 0.9867 95.3202

100 4.6001 88.2081 0.9900 99.6752


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E./#.(3 DE (TES(D#D

Valores concluidos para las relaciones a la lluvia de duración , .oras

Fuente: D. F. Campos A., 1978

+"raci!nes en !ras

1 2 3 4 5 6 8 12 18 24

0.30 0.39 0.46 0.52 0.57 0.61 0.68 0.80 0.91 1.00

'abla // - Precipitaciones má+imas para diferentes tiempos de duración de lluvias

Precipitaciones má+imas para diferentes tiempos de duración de lluvias@iemp! de !ciente :.M.:. ;mm< para di,erentes tiemp!s de d"raci)n se-n "n :eri!d! de Ret!rn!

+"raci)n 2 a!s 5 a!s 10 a!s 25 a!s 50 a!s 75 a!s 100 a!s 500 años

24 r 24 35.9583 53.0166 64.3106 78.5807 89.1670 95.3202 99.6752 123.9580

18 r 18 C 91? 32.7221 48.2451 58.5226 71.5084 81.1420 86.7414 90.7044 112.8018

12 r 12 C 80? 28.7666 42.4132 51.4485 62.8645 71.3336 76.2561 79.7401 99.1664

8 r 8 C 68? 24.4516 36.0513 43.7312 53.4348 60.6336 64.8177 67.7791 84.2914

6 r 6 C 61? 21.9346 32.3401 39.2295 47.9342 54.3919 58.1453 60.8019 75.6144

5 r 5 C 57? 20.4962 30.2194 36.6570 44.7910 50.8252 54.3325 56.8149 70.6560

4 r 4 C 52? 18.6983 27.5686 33.4415 40.8619 46.3668 49.5665 51.8311 64.4581

3 r 3 C 46? 16.5408 24.3876 29.5829 36.1471 41.0168 43.8473 45.8506 57.0207

2 r 2 C 39? 14.0237 20.6765 25.0811 30.6465 34.7751 37.1749 38.8733 48.3436

1 r 1 C 30? 10.7875 15.9050 19.2932 23.5742 26.7501 28.5961 29.9026 37.1874Fuente: Elao!a"i#n p!opia

as reaci!nes ! c!cientes a a "*ia de 24 !ras se empean para d"raci!nes de *arias !ras. +. F.amp!s A. pr!p!ne !s si-"ientes c!cientes=

Est!s dat!s serán !$tenid!s c!m! "n p!rcenta'e de !s res"tad!s de a p!e"ipita"i#n m$xima p!oale para 24 !ras para cada per!d! de ret!rn! di,erentes p!rcenta'es de este *a!r se-n !stiemp!s de d"raci)n de "*ia ad!ptad!s.

Basánd!se en !s res"tad!s de a anteri!r ta$a # !s tiemp!s de d"raci)n ad!ptad!s cac"am!s aintensidad e/"i*aente para cada cas! se-n=

[ ][ ].hr t

mm P I

duración

=

−

.


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0ntensidades de lluvia para diferentes tiempos de duración

@iemp! de d"raci)n ntensidad de a "*ia ;mm Dr< se-n e :eri!d! de Ret!rn!

r min 2 a!s 5 a!s 10 a!s 25 a!s 50 a!s 75 a!s 100 a!s

24 r 1440 1.4983 2.2090 2.6796 3.2742 3.7153 3.9717 4.1531

18 r 1080 1.8179 2.6803 3.2513 3.9727 4.5079 4.8190 5.0391

12 r 720 2.3972 3.5344 4.2874 5.2387 5.9445 6.3547 6.64508 r 480 3.0565 4.5064 5.4664 6.6794 7.5792 8.1022 8.4724

6 r 360 3.6558 5.3900 6.5382 7.9890 9.0653 9.6909 10.1336

5 r 300 4.0992 6.0439 7.3314 8.9582 10.1650 10.8665 11.3630

4 r 240 4.6746 6.8922 8.3604 10.2155 11.5917 12.3916 12.9578

3 r 180 5.5136 8.1292 9.8610 12.0490 13.6723 14.6158 15.2835

2 r 120 7.0119 10.3382 12.5406 15.3232 17.3876 18.5874 19.4367

1 r 60 10.7875 15.9050 19.2932 23.5742 26.7501 28.5961 29.9026

a representaci)n matemática de as c"r*as ntensidad +"raci)n :er!d! de ret!rn! &-. Bernard es=

en a c"a=

C ntensidad ;mmDr<

t C +"raci)n de a "*ia ;min<

@ C :er!d! de ret!rn! ;a!s<

a$c C :arámetr!s de a'"ste

Reaiand! "n cam$i! de *aria$e=

+e d!nde=

%e!io&o &e !eto!no pa!a ' 2 aos

N ( # n ( n # n (Gn # ;n(


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%e!io&o &e !eto!no pa!a ' aos

N ( # n ( n # n (Gn # ;n(


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%e!io&o &e !eto!no pa!a ' aos

N ( # n ( n # n (Gn # ;n(


13/20

4 480 10.5364 6.1738 2.3548 14.5383 38.1156

5 360 12.6024 5.8861 2.5339 14.9147 34.6462

6 300 14.1312 5.7038 2.6484 15.1058 32.5331

7 240 16.1145 5.4806 2.7797 15.2347 30.0374

8 180 19.0069 5.1930 2.9448 15.2922 26.9668

9 120 24.1718 4.7875 3.1852 15.2491 22.9201

10 60 37.1874 4.0943 3.6160 14.8050 16.7637

10 4980 153.4462 58.1555 25.6518 143.7937 346.9435

*n (A) 6.1498 A 468.6262 + 0.6164

S


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esumen &e apli"a"i#n &e !e/!esi#n poten"ial

:eri!d! de @%rmin! ctte. de !e,. de

Ret!rn! ;a!s< re-resi)n ;d< re-resi)n K c L

2 135.94125824648 0.6163860881

5 200.43040893823 0.6163860881

10 243.12783808232 0.6163860881

25 297.07615299458 0.6163860881

50 337.09809483463 0.616386088175 360.36037328482 0.6163860881

100 376.82452093841 0.6163860881

500 468.62622711598 0.6163860881

:r!medi! C 302.43560930443 0.6163860881

e/!esi#n poten"ial N ( # n ( n # n (Gn # ;n(


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0ntensidad - 'iempo de duración - Per5odo de retorno

Fuente: Elao!a"i#n p!opia

'ala &e intensi&a& - 'iempo &e &u!a"i#n - %e!io&o &e !eto!no

Frec"encia +"raci)n en min"t!s

a!s 5 10 15 20 25 30

2 58.95 38.45 29.95 25.08 21.86 19.54

5 71.95 46.93 36.55 30.61 26.68 23.84

10 83.66 54.57 42.50 35.60 31.02 27.73

25 102.12 66.61 51.88 43.45 37.87 33.84

50 118.74 77.45 60.32 50.52 44.03 39.35

75 129.69 84.59 65.89 55.18 48.09 42.98

100 138.06 90.06 70.14 58.74 51.20 45.75

500 195.94 127.82 99.55 83.37 72.66 64.94

'ala &e intensi&a& - 'iempo &e &u!a"i#n - %e!io&o &e !eto!no ("ontinua"i#n...)

Frec"encia

a!s 35 40 45 50 55 60

2 17.76 16.36 15.22 14.26 13.45 12.74

5 21.68 19.97 18.57 17.40 16.41 15.55

10 25.21 23.22 21.59 20.24 19.08 18.09

25 30.77 28.34 26.36 24.70 23.29 22.0850 35.78 32.96 30.65 28.72 27.08 25.67

75 39.08 35.99 33.47 31.37 29.58 28.03

100 41.61 38.32 35.64 33.40 31.49 29.85

500 59.05 54.39 50.58 47.40 44.69 42.36

400

Tabla de intensidades - Tiempo de duración

0 5 10 15 20 25 30 35 40 45 50 55 60

0.00

25.00

50.00

75.00

100.00

125.00

150.00

175.00

200.00

225.00

@EM: +E +RAN ;m in<

N@EN&+A+ ;mmD<

Año 500


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ttp=DDOOO.ci*ie(ce.c!mD2012D02Dc!nstr"cci!ndec"r*asid,.tm


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:R:@AN MAMA EN 24 RA& ;mm<

1964 42.2

#;* ENE FEB MAR ABR MAP QN1965 26.7 25.80 25.40 26.70 22.50 4.00 0.00

1966 42 18.00 10.00 42.00 1.00 2.20 0.00

1967 78.1 52.00 78.10 44.00 3.20 0.20 0.00

1968 13.5 0.00 8.20 13.50 6.80 2.80 0.001969 25.1 6.50 25.10 22.40 4.20 0.00 0.00

1970 89.9 89.90 22.10 14.50 5.80 0.00 0.00

1971 36.2 19.80 21.40 36.20 2.10 0.00 0.00

1972 37 21.40 23.60 37.00 0.00 0.00 0.00

1973 49.7

1974 27.7

1975 24

1976 20.5

1977 42.1

1978 25.3

1979 31.1

1980 20.6

1981 46.5

1982 35.8

1983 46.3

1984 38.6

1985 18.6

1986 30.7

1987 22

1988 28.2

1989 33.5

1990 36.8

1991 33.21992 5.8

1993 38.7

1994 14.9

1995 12.2

1996 15.7

1997 15.1

1998 30.2

1999 19.6

2000 17.9

2001 13.5

2002 15.4

2003 142004 11.7

2005 18

2006 15.1

2007 10.5

2008 30.8

2009 38


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Q A &E@ @ NJ +

0.00 0.00 0.00 22.40 0.50 0.20 127.50

0.00 0.00 0.00 12.00 0.00 2.40 87.60

0.00 0.00 0.00 5.20 1.20 4.20 188.10

0.00 0.00 0.10 0.50 1.40 2.20 35.500.00 0.00 0.00 4.80 5.40 12.30 80.70

0.00 0.00 12.20 2.10 3.10 2.80 152.50

0.00 0.00 0.00 0.10 0.00 11.96 91.56

0.00 0.00 0.00 0.76 0.00 7.50 90.26


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Curvas Idf - Edit

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