Hidrograma Unitario Triangular (SCS)

7/25/2019 Hidrograma Unitario Triangular (SCS)

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ESCUELA POLITCNICA NACIONAL

CARRERA: INGENIERA CIVIL

HIDROLOGA APLICADA

HIDROGRAMAS UNITARIOSSINTTICOS: HIDROGRMA UNITARIO

TRIANGULAR (SCS)

TRABAJO N 7

Fecha: 27/04/12


2/20

Hidrogramas Unitarios Sintticos: Hidrograma Unitario Triangular SCS

OBJETIVO

Determinar el hidrograma nitario !int"ti#o de la #en#a del r$o

Ma#ha#a%a# !ando el m"todo del hidrograma nitario trianglar &SCS' Determinar el hidrograma total de e!ta mi!ma #en#a !ando di#ho

m"todo' Analiar lo! re!ltado! otenido!'

DTOS DE E!T"D

U#icaci$n de la cuenca en el ma%a

La c!"ca #! $%ca &'"&! !#() !* +"(!,' a-*.

La# c'',&!"a&a# &!* c!"(,'%&! &! *a c!"ca #'": 77 1*0**O 01*0**S

A c'"(%"ac%" *a c!"ca c'" *a ca&,3c*a &! *a# c'',&!"a&a#:


3/20

La *3"!a ,!#a !5(!,%', !" a-* &!*%6%(a *a c!"ca.

La c!"ca #! ('6 &! " *!a"(a6%!"(' a!,'8'(',a69(,%c' +!,(!"!c%!"(! a* I"#(%(('G!',)8%c' ;%*%(a, &!* Eca&', &! *a -'"a &! La# Pa*6a#.

C'6' #! +!&! !, *a c!"ca #! !"c!"(,a !" *a P,'%"c%a &! Na+'.

S! #!':

Caracter&sticas F&sicas de la Cuenca

rea' 2?.7@2 6Permetro 22.?FF 6Longitud del cauce principal' 1.0F 6Longitud de Afluentes' 2.@2 6Longitud Ro Total' .144 6

Longitud del ro principal entre medida en lnea recta' .42 6


4/20

Caracter&stica Valor

"&%c! &! G,a!*3# c 1177

A"c' 6!&%' B 2277@ 6

ac(', &! 8',6a 8 0174

D!"#%&a& &! &,!"a>! D& 11140 6/62

E5(!"#%" 6!&%a &! *a !#c',,!"(3a #+!,8%c%a* I 0224 6

S%"'#%&a& &! *a# c',,%!"(!# &! aa S 11@22

E*!ac%" 6!&%a C'(a 6 1F0@00 6

E*!ac%" +'"&!,a&a C'(a 6+ 1F70?F 6

(endiente mediaS1 00F1

La&' 6a', ,!c()"*' !=%a*!"(! L 7@ 6

La&' 6!"', ,!c()"*' !=%a*!"(! I ?@ 6

N' #! %"c*! *a c,a %+#'69(,%ca "% !* ,!c()"*' !=%a*!"(! +!#(' =! "' #! "!c!#%(a" +a,a*'# c)*c*'#.

!C "6!,' &! c,a '$(!"%&' &! *a# (a$*a# =! #! %"c*!" !" *'# a"!5'#

)ETODO*O+,

"elaciones i - t . Tr

1 Ca*c*a, *'# #%%!"(!# +a,)6!(,'#:tc=3.989L0.77 S0.385

D'"&!:(c (%!6+' &! c'"c!"(,ac%" !" 6%"('#L L'"%(& &!* cac! +,%"c%+a* !" 6S +!"&%!"(! &!* cac! !" 6/6

tp=2

3tc

tp=tiempo enel que ocurre el caudal pico (%!"! *a# 6%#6a# "%&a&!# =! !* (c.

t# 2.F7 (+($ (%!6+' =! &,a *a c,!c%&a (%!6+' $a#!.

S!" ;'c#:tr 0.F+(c

de 0.1+(c(, (%!6+' &! ,!(,a#'&! &,ac%" !8!c(%a &! *a **%a.


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qp=2.08 Ac

tp

qp=gasto picounitario en

m3

scm

Ac=reade lacuenca en km2

tp=tiempo en el queocurre el caudal pico , enhoras

2 E" !* ,)8%c' a&%6!"#%'"a* =/=+ # (/(+ 6*(%+*%ca, *a# a$#c%#a# +', (+ *a# ',&!"a&a#+', =+ +a,a '$(!"!, !* %&,',a6a "%(a,%' #%"(9(%c'. La# c'',&!"a&a# &!* ,)8%c'a&%6!"#%'"a* #! !"c!"(,a" !" a"!5'#. A*(!,"a(%a6!"(! #! +!&! ,a8%ca, !*%&,',a6a "%(a,%' (,%a"*a, c'" (,!# +"('# 0K 0 (+K =+ ($K 0. Pa,a a**a, *a+,!c%+%(ac%" !8!c(%a #! +,'c!&! c'6' #%!:

C'" *a *'"%(& *a *a(%(& #! $%ca !" !* 6a+a &! -'"%8%cac%" &! %"(!"#%&a&!# &!+,!c%+%(ac%" a =9 -'"a +!,(!"!c! *a c!"ca !" c'"#%&!,ac%".

4 C'" !* "6!,' &! -'"a #! $#ca !" *a# !cac%'"!# ,!+,!#!"(a(%a# &! *a# -'"a# *a# 2 =!c',,!#+'"&!" a !#a -'"a. S'" &! *a 8',6a:

ITr=a tb Id T

r

@ Pa,a ca&a T, #! $#ca *a I&T,c',,!#+'"&%!"(! a *a# c'',&!"a&a# &a&a#.F S!*!cc%'"a, " +!,3'&' &! ,!(',"' a+*%ca, *a !cac%" &! %"(!"#%&a& =! c',,!#+'"&a

+a,a !* (%!6+' &! c'"c!"(,ac%" ca*c*a&'.7 ;*(%+*%ca, *a %"(!"#%&a& a**a&a !" !* +a#' a"(!,%', +', !* (%!6+' &! c'"c!"(,ac%".

+ IT,+(cU#a"&' *a c,a &! H88 &!* #!"&' ca,(%* c'" +,'$a$%*%&a& &! !5c!&!"c%a &!* 0a**a, *a &%#(,%$c%" &! !#a +,!c%+%(ac%" !" !* (%!6+' (c ( 100. S! &!$!" #a,%"(!,a*'# %a*!# a *a &,ac%" !8!c(%a &! *a **%a.

Ha**a, !* a*', S !" 8"c%" &!* "6!,' &! c,a c'" *a !cac%":

S (cm)=2.54 (1000NC10)? D!(!,6%"a, *a a*(,a &! +,!c%+%(ac%" !8!c(%a +a,a ca&a +%#a"&' *a 8,6*a:

hpei= (hp

i

0.2 S

)

2

hpi+0.8S

D!$! (!"!,#! *a +,!cac%" &! #a, + % S !" *a# 6%#6a# "%&a&!#.S% !" !#(a !cac%" + M 0.2S 0 !"('"c!# #! +'"! " a*', &! 0 a +!

10 ;*(%+*%ca, *a# ',&!"a&a# &!* %&,',a6a "%(a,%' #%"(9(%c' +', +!.11 A *a# ',&!"a&a# &!* %&,',a6a '$(!"%&' !" !* +a#' a"(!,%', #6a,*! !* ca&a* $a#! +a,a

'$(!"!, !* %&,',a6a ('(a*.12 R!+!(%, !* +,'c!#' &!#&! !* +a#' F c'" !* 6%#6' T, +!,' c'" 2(c.


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C/*CU*OS 0 "ESU*TDOS

A+*%ca"&' *a# !cac%'"!# &a&a# !" *a 6!('&'*'3a #! a**a,'" *'# #%%!"(!# a*',!#:

t#,-.-

, min

t/01.-

2 min

t-11.

03 minde

-3.,3 min

tr1,.4

- min

5/

6,.6-

m78!8#m

3 23 13 63 ,3 -33 -23 -13 -633

23

13

63

,3

Hidrograma Unitario Sinttico

t (min)

q (m3/s/cm)

t 1min2 3 1m45s5cm2 t 1min2 3 1m45s5cm2000 000 64.60 63.74@41 10 43.76 04.67

102 @1@ 40.44 0-.161F24 10? ,-.-, 10.2,21F@ 1?21 ,6.09 7,.12270F 2?@0 91.4- 73.,4247 411F 94.12 2,.,-7 @2 -3,.21 2-.9040@? @F?4 --9.34 -6.1440 F10F -2-.44 -0.39471 FF@@ -29.,9 -2.70@412 FF1 -70.73 -3.29@?@ F72 -13.4- ,.92F4?4 F12 -1,.,7 4.23


7/20

E* %&,',a6a "%(a,%' (,%a"*a, #! ! &! *a #%%!"(! 6a"!,a:

3 23 13 63 ,3 -33 -23 -13 -633

23

13

63

,3

Hidrograma Unitario Triangular

t (min)

q (m3/s/cm)

S! ,!=%!,! *a a*(,a &! +,!c%+%(ac%" !8!c(%a +a,a '$(!"!, !* %&,',a6a &!!#c,,%6%!"(' &%,!c(' +a,a *' ca* #! #a,)" *a#:

"elaciones i - t . Tr

La -'"a c',,!#+'"&%!"(! a *a *a(%(& *'"%(& &a&a# a* %"%c%' !# *azona 20.

La# !cac%'"!# c',,!#+'"&%!"(!# a !#(a -'"a #'":

@ 6%" ( 40 6%": ITr=53.316 t0.3021

Id Tr

40 6%" ( 1440 6%": ITr=308.38 t0.7782

Id Tr

Hac%!"&' *a# ,!#+!c(%a# %"(!,+'*ac%'"!# #! !"c'"(,a,'" *a# I&T,+a,a &%8!,!"(!# +!,3'&'#&! ,!(',"' c',,!#+'"&%!"(!# a *a *a(%(& *'"%(& &a&a#.

Tr IdTr(aos) (mm/h)

0 1.10-3 0.120 6.403 4.0-33 ,.,


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E" !#(! ca#' #! #+'"&,) " T, @0 a


9/20

A c'"(%"ac%" *'# %!(',a6a# +a,a %"(!"#%&a& ! %"(!"#%&a& !8!c(%a.

3231363,3

-33-23-13

72'616,'93

--6'31,7'13

72'61-1'03 4'20 4'20

Hietograma para t = tc

tiempo (min)

i (mm/h)

3-3237313036343

3'33

--'12

67'6,6-'79

20'94

--',-0'960'99

Hietograma de intensidades efectias para t = tc

tiempo (min)

i e (mm/h)


10/20

3 23 13 63 ,3 -33 -23 -13 -63

3

03

-33

-03

233

203

Hidrograma de escurrimiento super!cial

t (min)

" (m3/s) sup

L'# a*',!# =! c'"8',6a" !* %&,',a6a a"(!,%', #'":

t 1min2 8 1m45s2 su% t 1min2 8 1m45s2 su%000 000 64.60 -93.-1@41 24 43.76 -,-.03102 1F21 40.44 -62.301F24 4@7 ,-.-, -12.6-21F@ F0@0 ,6.09 -2-.33270F ?2?1 91.4- 94.27

247 12?F4 94.12 93.407 1FF -3,.2

1 69.-140@? 17?4 --9.3

4 0-.,640 1?20 -2-.4

4 14.01471 20?@? -29.,

9 7,.,9@412 21F07 -70.7

3 72.1-@?@ 2117@ -13.4

- 2,.39F4?4 1?7? -1,.,

7 22.69

La ,!+,!#!"(ac%" !" %&,',a6a (,%a"*a, #!,3a:


11/20

3 23 13 63 ,3 -33 -23 -13 -63

3

03

-33

-03

233

203

Hidrograma Triangular de #scurrimiento Super!cial

t (min)

" (m3/s) sup

E" c*a#! #! %"&%c =! #! ('6a,a " ca&a* $a#! &! 0 */#/62 c'" #! '$(':

$ 0.? 6/#

E* ca&a* $a#! #6a&' a* %&,',a6a &! !#c,,%6%!"(' #+!,8%c%a* &a,) !* %&,',a6a ('(a*. P',#!, +!=!


12/20

270F ?0 91.4- 9,.-2247 10@4 94.12 9-.617 1F727 -3,.21 43.3140@? 102 --9.34 02.4040 1?20 -2-.44 1,.17471 2104 -29.,9 79.49@412 21F?F -70.73 77.73@?@ 212F4 -13.4- 2,.9,F4?4 1??F -1,.,7 27.0,

Repitiendo el proceso para 2tc = 162.6 min!

IT, 44.0@ 66/

+ 11?.2 66

t 1min2 t 162 h%a 162 h%a 1mm2 7h% 1mm2 i 1mm5h2 h%e 1mm2 7h%e1mm2

ie 1mm5h2

0 0 0 0 0 0 0102 FF7 @ @ 1?2 000 000 00021F@ 1 ? 107 71@ ?F@ 024 024 1247 2000 1? 22F@ 11?2 FF0 42 404 2240 2FF7 1 F?@ 140 7?2? 121 @ 472@412 @1 F07? 24 121@ 10@ 124 1011F4?4 4000 F7 7?7 1?07 10@72 47? 1F4 ?0@F

7@77 4FF7 0 ?@F 1@@0 @?0 F127 1? 7F?7F@? @ 104?0 ?@4 @2F 7000 7 4?742 F000 ?1 1047 @ 1?2 70 0 101024 FFF7 ?@ 1114@ 2? 1F@2 7F07 27F 1@111?07 7 ?@@ 114 2 122 72 222 12212?? 000 ?F@ 11@0 11? FF1 7?? 111 F1@14071 FF7 ? 11F2 17? ??1 10F 1F7 ?241@1@4 ? ?? 1101 11? FF1 217 111 F171F2F 100 100 11?20 11? FF1 2? 111 F1


13/20

3231363,3

-33-23-13

-9',79'6

66'-49'7

-72'2-30'4

,0'9

02'9-9',-6'0-7'26'69'96'66'6

Hietograma para t = $tc

tiempo (min)

i (mm/h)

3231363,3

-33-23

3'3

-'7

22'1

14'7

-3-'-93'6

44'3

1,'1

-,'7-0'7-2'76'29'26'26'2

Hietograma de intensidades efectias para t = $tc

tiempo (min)

i e (mm/h)

S! a &%%&%&' !* (c !" 1@ %"(!,a*'# %a*!# (,a(a"&' &! =! # a*', #! a#!6!>! a* &! *a&,ac%" !8!c(%a &! *a **%a =! !# &! 10.0 6%"('#.

C'" *' ca* +! .2? 66 .2? c6 =! 6*(%+*%ca"&' +', !* %&,',a6a "%(a,%' "'# &a,)!* &! !#c,,%6%!"(' #+!,8%c%a*.


14/20

3 23 13 63 ,3 -33 -23 -13 -63

3

-33

233

733

133

033

633

Hidrograma de escurrimiento super!cial

2t#

t (min)

" (m3/s) sup

t 1min2 8 1m45s2 su% t 1min2 8 1m45s2 su%000 000 F7F@ @024@41 @7 70F 47???102 42F 7@77 42@F1F24 ?14 11 771

21F@ 1F000 F@? 1???270F 24@71 ?471 2@714247 42@ ?742 2???7 4??? 1024 12@40@? 47427 11?07 171440 @0@F 12177 12@71471 @@427 12?? 102@@412 @7141 1@0 @71@?@ @@?? 14071 742F4?4 @2@70 14 F000


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3 23 13 63 ,3 -33 -23 -13 -633

-33

233

733133

033

633

Hidrograma Triangular de #scurrimiento Super!cial

2t#

t (min)

" (m3/s) sup

3 23 13 63 ,3 -33 -23 -13 -633

233

133

633

,33

Hidrograma Total

2t#

t (min)

" (m3/s)

t 1min2 8T1m45s2 t 1min2 8T1m45s2000 0? F7F@ @074

@41 ?4F 70F 40102 47@ 7@77 42?4@1F24 ?22 11 70221F@ 1F0? F@? 20270F 24FF0 ?471 2@0247 474 ?742 240?7 440 1024 17440@? 47@1F 11?07 1040 @0?4@ 12177 12FF0471 @@@1F 12?? 107@

@412 @720 1@0 FF0@?@ @F0 14071 7@1


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F4?4 @2F@? 14 F0?CO!C*USIO!ES

E* c'"'c%6%!"(' &!* #!*' &! *a -'"a !" c'"#%&!,ac%" !# 6 %6+',(a"(! +a,a *a a+*%cac%" &!!#(! 69('&'. E" !#(! ca#' "' #! a !c' *a ca,ac(!,%-ac%" &!* #!*' #! a #+!#('

c'"&%c%'"!# $a#a&a# !" !"!,a*%-ac%'"!# &! *a +,'%"c%a &! Na+' +a,a &!(!,6%"a, !* "6!,' &!c,a.

Ha a,%a# +,'+!#(a# +a,a ca*c*a, !* (%!6+' &! c'"c!"(,ac%" !* #' &! a*"a &! !**a#&!+!"&! &!* $!" c,%(!,%' &!* %"!"%!,'. E" !#(! (,a$a>' #! a #a&' *a 8,6*a &! %,+%c *a6%#6a =! #! # !" !* 69('&' ,ac%'"a* +a,a !#(a 6%#6a c!"ca c'" !* 8%" &! #a, !* 6%#6'&a('.

E* %&,',a6a "%(a,%' 8! &!#a,,'**a&' +a,a # a+*%cac%" !" c!"ca# +!=!


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!E9OS


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C'',&!"a&a# &!* %&,',a6a a&%6!"#%'"a*:

(/T+ =/=+0 0

01 001@

02 007@0 01F04 020@ 040F 0F07 07707@ 00 0?0? 0?71 1

11 0?12 0?212@ 01 0414 07@1@ 0FF1F 0@F17@ 04@1 0422 02

22 02422@ 02224 012@ 01@2F 0127@ 010@2 00? 007@

2@ 00@@ 00F7@ 002F

4 00142@ 00124@ 000?47@ 000F

@ 0004


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Hidrograma Unitario Triangular (SCS)

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