UNIVERSIDAD NACIONAL DEL ALTIPLANO ALTIPLANO – PUNO FACUL ACULTAD TAD DE INGENIERÍA AGRÍCOLA
ESCUELA PROFESIONAL DE INGENIERÍA AGRÍCOLA
TEMA: TRABAJO ENCARGADO DE HIDRAULICA DE RIOS CURSO: HIDRAULICA FLUVIAL DOCENTE: Ing. MARCELINO QUISPE SOTO
PRESENTADO POR: PAUL ESLEYTER CUEVA ALANGUIA MILTON PAUL MAMANI LOZA PAOLA DEL PILAR JAPURA QUISPE MAGNO NAYHUA CHARCA NUÑEZ LUQUE RICKY EMANUEL GIANNELA PAOLA GONZALES MATAMET NIMA YORELA QUISPE ENRIQUEZ OCTAVO OCTAVO SEMESTRE PUNO PUNO
PERÚ PERÚ
1
2016
CONTENIDOS I.
.......................................................... ....................................... .................................. .............. 4 INTRODUCCION:.......................................
II.
ANTECE ECEDENTES:....................................... .......................................................... ....................................... ................................. ............. 5
III.
JUSTIFICACION:....................................... ........................................................... .................................................. .............................. 5
IV.
.......................................................... .................................................. ....................................... ........ 5 OBJETIVO:.......................................
4.1.
OBJETIVO GEN GENERAL................................................................................5
4.2 4.2.
OBJ OBJETIVO TIVO ESP ESPEC ECIF IFIICO CO.............................................................................6
V. REVI REVISI SION ON BIBL BIBLIO IOGR GRAF AFIC ICA: A:...........................................................................6 5.1.
ASPEC PECTOS BAS BASICOS...............................................................................6
5.1.1.
Cuenca......................................... ............................................................ ....................................... ................................. ..............6 6
5.1 5.1.2. .2.
Moro ro!o"# !o"#aa $e! $e! r%o r%o...............................................................................6
5.2. 5.2.
TRAN TRANSP SPOR ORTE TE DE SEDI SEDIME MEN NTOS: TOS:..............................................................8
5.2. 5.2.1. 1.
De% De %n n%c %c%& %&n n $e Se$% Se$%'e 'en( n(o. o....................................................................8
5.2 5.2.2. .2.
Or%" r%"en $e Se$% Se$%'e 'en n(o) (o).......................................................................9
5.2. 5.2.*. *.
+ro, +ro,%e %e$a $a$e $e)) $e !o) !o) )e$ )e$%' %'en en(o (o))..........................................................9
5.3.
EL FO FONDO MO MOVIL:..................................................................................14
5.*. 5. *.1. 1. 5.4 5.4.
TRAN TRANSP SPOR ORTE TE EN FON OND DO:.....................................................................16
5.. 5. .1. 1. 5.5. 5.5.
Conc Conce, e,(o (o $e %n%c %n%c%a %ac% c%&n &n $e 'o-% 'o-%'% '%en en(o (o.............................................14 Ca!c Ca !cu! u!o o $e re)% re)%)( )(en enc% c%aa a! !u/ !u/o: o:..........................................................17
TRAN TRANSP SPOR ORTE TE EN SUSP SUSPEN ENSI SION ON::............................................................19
5.5.1.
M0(o$o $e co co!..............................................................................20
5.5 5.5.2. .2.
M0(o 0(o$o $e Gar Gar$ $e +an +an$ $e................................................................20
5.5.*.
M0(o$o $e $e Sa Sa'a"a..........................................................................20
5.6 5.6.
TRAN TRANSP SPOR ORTE TE TOTAL:............................................................................21
5.3 5.3.1. .1.
M0(o 0(o$o $e Ac4 Ac4e) e) 6% 6%(e (e.................................................................21
5.3. 5.3.2. 2.
Me(o Me (o$o $o $e En"e En"e!u !un$ n$ 7an 7an)e )en. n.........................................................22
VI.
METODOS 8 MATERIAL IALES:.......................................................................23
6.1 6.1.
AMBI MBITO DEL DEL ESTU ESTUD DIO:..........................................................................23
3.1. 3.1.1. 1.
Cara Ca rac( c(er er#) #)(% (%ca ca)) Gene Genera ra!e !e). )................................................................23
3.1. 3.1.2. 2.
A),ec ),ec(o (o )oc% )oc%oe oeco con& n&'% '%co co..................................................................24
3.1. 3. 1.*. *.
Acce Ac ce)% )%% %!% !%$a $a$ $ 9 -#a -#a)) $e Co'u Co'un% n%ca cac% c%&n &n...............................................24
3.1. 3. 1.. .
A),e A) ,ec( c(o) o) F%)% F%)%o" o"r r% %co co)) $e! ;re ;rea a $e! E)(u E)(u$% $%o. o.....................................24
6.2.
MATERIALES:...................................... ......................................................... ....................................... ................................ ............25 25 2
3.2.1.
Traa/o en en Ca Ca',o............................................................................25
3.2. 3.2.2. 2.
Traa/ aa/o o en Lao Laora ra(o (or% r%o. o.....................................................................25
3.2 3.2.*. .*.
Traa/ aa/o o en en Ga Ga%n %ne( e(e. e.........................................................................25
6.3.
METODOLOGIAS:...................................................................................25
3.*. 3.*.1. 1.
Bu)< Bu)
3.*.2.
Traa/o en en Ca Ca',o............................................................................26
3.*. 3.*.*. *.
Traa/ aa/o o $e Lao Laora ra(o (or% r%o. o.....................................................................26
3.* 3.*.. ..
Traa/ aa/o o en en Ga Ga%n %ne( e(e. e.........................................................................27
VII. VII.
RESU RESUL LTADOS DOS 8 DIS DISCU CUSI SION ONES ES::.................................................................27
7.1. 7.1.
DAT DATOS HID HIDRA RAUL ULIC ICOS OS Y GEOM GEOMET ETRI RICO COS: S:................................................27
=.1.1. =.1 .1.
+en$%e +en$%en(e n(e Lon Lon"%( "%(u$ u$%na %na!! $e! $e! Tra Tra'o 'o $e! $e! R%o R%o L%'on L%'on Ver$e Ver$e.. ....................27
=.1.2. =.1 .2.
Re,re) Re,re)en( en(ac% ac%one one) ) $e !a Secc%o Secc%on n Tran) Tran)-er -er)a! )a!e) e) $e! R%o R%o L%'o L%'on n Ver$e Ver$e... 27
=.1 =.1.*. .*.
Ve!oc% !oc%$ $a$ $e! $e! F!u F!u/o /o...........................................................................27
=.1..
Cau$a!............................................................................................28
VIII VIII..
CONCLUSI LUSION ONES ES::......................................................................................29
I>.
BIBLIOGRAFIA:........................................................................................29
3
I.
INTRODUCCION:
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
4
II.
ANTECEDENTES:
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
III.
JUSTIFICA CAC CION:
C#* "!%+%*/% /!9@# +% $%/%!-*! % /!*+"#!/% $% +%$-%*/# %* +,+"%*+-* #*$# ) /#/ /#/ %+/# *#+ +%!&-! "! ('%! $-+%<#+ $% %+/!,'/,! %+/!,'/,! (-$!,-'+ (-$!,-'+ '##: D%%*++ !-9%!%<+ '"/'-* ",%*/%+ +-+/%+ $% !-%# %/'. Y 8,% "! % P*%-%*/# ) '#*+/!,''-* $% #9!+ (-$!,-'+ %+ *%'%+!-# % %+/,$-# $% T!*+"#!/% $% +%$-%*/#+.
IV.
OBJETIVO: IV..1. OB IV OBJE JETI TIVO VO GE GENE NERA RAL. L. •
•
E #9@%/-&# "!-*'-" $% %+/% %+/,$-# %+ $%/%!-*! ) %&,! % /!*+"#!/% $% +%$-%*/#+ %* ,* /!# $% !-# -* &%!$% $% +*/ ,'- %* "!#&-*'- $% " "! "#*%! %* "!'/-' #+ '#*'%"/#+ ) #!,+ ,+$#+ %* % ',!+# $% (-$!,-' ,&-. C,*/--'! "%!$-$ $% +,%# %* ',%*' $% !-# -* &%!$%.
5
IV..2. OB IV OBJE JETI TIVO VO ES ESPE PECI CIFI FICO CO..
•
•
•
•
V.
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
REV EVIISI SION ON BI BIBL BLIO IOG GRA RAFI FICA CA:: V.1.
ASPE AS PECT CTO OS BA BASI SICO COS. S.
V.1. 1.1. 1. Cu Cuen enca ca.. C,%* C,%*' ' (-$!# (-$!#! !--' ' %+ % !% !% # 99-/# /# $% %+/, %+/,$$-# # %#! %#!--'# '# $%--/$# "#! % D-&#!/-, A',!-, $#*$% #',!!% % '-'# (-$!#-'# % -*/%!' -*/%!'/ /* * #+ '/#! '/#!%+ %+ */,! */,!%+ %+ +#'-% +#'-%+ + %'#* %'#*-' -'+ + "#0/ "#0/-'+ -'+ % -*+/-/,'-#*%+ ) 8,% +#* &!-9%+ %* % /-%"#. L#+ '/#!%+ $% ',%*' 8,% %'/* % %+',!!--%*/# +#*: /<# #! #!-%*/'-* /#"#!0 %##0 ) % /-"# $% ',/-&# 8,% () %* +,"%!-'-%. T*/# !* '## % &#,%* $% %+',!!--%*/# +% -*'!%%*/* %$-$ 8,% ,%*/ % /<# $% ',%*'. L+ '!'/%!0+/-'+ $% ,* (#) (-$!#!-' $%"%*$%* $% #!##0 #! !%-%&% !%$ $% $!%*@% %/'.; #+ /-"#+ $% +,%#+ '" &%%/ %# %## #0 0 + + "!'/ "!'/-' -'+ + !0' !0'# #+ + %/'. %/'. E+/#+ E+/#+ %%% %%%*/ */#+ #+ 0+0+-'# '#++ "!#"#!'-#** "!#"#!'-#** + '#*&%*-%*/% '#*&%*-%*/% "#+-9--$$ "#+-9--$$ $% '#*#'%! &!-'-* %* % %+"'-# $% #+ %%%*/#+ $% !?-%* (-$!#-'#.
V.1.2. V. 1.2. Moro Moro!o"# !o"#aa $e! $e! r%o. r%o. E+ '#*'%*/!'-* $% + ,+ $% %+'#!!%*/0 %* ,* ','% $%-*-$# ) +#9!% % ', $-+',!!%* /!&?+ $% + +%''-#*%+ $% +, ',!+# +,"%!-#! %$-# % -*%!-#!. L+ "!/%+ $% ,* !0# +#*: ','% &%# ) L%'(#.
6
C!a)%%cac%&n $e R#o). S%* +, %$$. CUADRO N°1: CLASIFIC CLASIFICACION ACION DE RIOS
RIOS JOVENES
RIOS MADUROS
C#!!%+"#*$% E &% %+/$# -*-'- $% ,* *'($# !-#
+%
RIOS VIEJOS (
E &% +% *'( + ) $8,-%!% %*#! "%*$-%*/%
L#+ %*$!#+ G%*%! G%*%!%* %*/% /% /-%*% /-%*% L+ "%*$-% "%*$-%*/% */%++ +#* ',9!%* %*#+ 8,% % #! $% V %*#!%+ !% $% /#$# % &%
S#* ,) -!!%,!%+
E !-# !-# +% %*', %*',%* %*/! /! S% #! #!* * $-8,%+ %* %+/$# $% */,!%+ # !# %8,--9!-# $% !-#
E %@%"# /0"-'#+ %+ ,* /#!!%*/% $% #*/< $% !* "#$% "#$%!! %!#+!#+-&# &# '#* '#* '0$+ ) !"-$+
E &% %+ # +,-'-%*/% *'(# E !-# %+ + !%,! '## '## "! "! 8,% 8,% +% $%+"!%'%* + $%+!!#%* '0$+ ) !"-$+ '/'/-&-$$%+ !# %'#*-'+
S% #!* S% #!* + $%/+ E $%/ *# %+/ 9-%* %*$!#+ "%8,%<+ %* #!$# !%+ $% -*,*$'-* $%+%9#'$,! S% ( (%'(# #9!+ $% %*', %*',-% -%*/# */#++ "! %&-/! % $%+"-%*/# /%! $% !-#
E !-# !-# ",%$ ",%$% % #! #!! ! %*$!#+ '#* -++ # $-& -&! ! '#* '#* ,) ,) 9@ "%*$-%*/% ) !* '*/-$$
D% -++ FUENTE: ELABORACION PROPIA
7
C!a)%%cac%&n Moro!&"%ca $e !o) R#o). D%+$% % ",*/# $% &-+/ #!#-'# () /!%+ !*$%+ !,"#+ $% !0#+ %+/#+ +#*: !%'/#+ %*/!%$#+ # /-"# 9!-$%$ ) %*$!-'#+ '## +% $%/ '#*/-*,'-*: C#!!%+"#*$% %*%!%*/% %*%!%*/% R#o) En(re!a?a$o) o $e T%,o Bra%$e$. C#!!%+"#*$% !0#+ *'(#+ *'(#+ %*$-%*/% %*$-%*/% %+ ,%!/% ,%!/% # 8,% 8,% $ ,! ,! "%8,%<#+ "%8,%<#+ /-!*/%+ /-!*/%+ '$#+; ) % !0# '#!!% %* #! $% &!-#+ '*%+ # 9!#+ !%$#! $% "%8,%<+ -++. LANE "*/% 8,% + $#+ ',++ 8,% %="-'* %=-+/%*'- $% ,* !0# %*/!%$# +#*: E='%+# $% +%$-%*/#+ 8,% % !0# *# ",%$% /!*+"#!/! %* +, /#/-$$ ,* $% + ',%+ $%"#+-/ ) $ ,! #!'-* $% -++. P%*$-%*/% ,%!/% # 8,% #!--* "%8,%<#+ /-!*/%+. U*# $% %+/#+ '/#!%+ # #+ $#+ @,*/#+ +#* ',+ $% "!-'-* $% !0#+ %*/!%$#+. •
• •
R#o) R#o) Mea Mean$r n$r%co %co). ). E+/* #!$#+ "#! ,* +,'%+-* $% ',!&+. L+ '!'/%!0+/-'+ $% %+/+ ',!&+ 8,% +#* ,) $-*-'+ %+ 8,% *# +% $%9%* %+%*'-%*/% + "!#"-%$$%+ $% /%!!%*# +-*# */,!% $% '#"#!/-%*/# ,&-. L "9! %*$!# "!#&-%*% $% !-%# /!&?+ $% /0* %*$!#+. E* !-%# %*$!#+ %! % *#9!% $% ,* !0# $% A+- M%*#! '?%9!% "#! # /#!/,#+# $% +, ',!+#. R#o) rec(o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
TRAN TR ANSP SPOR ORTE TE DE SE SEDI DIME MENT NTOS OS::
V.2.1. V. 2.1. De%n De%n%c%&n %c%&n $e Se$%'en( Se$%'en(o. o. S%* MA %*/-%* %*$% $% "#! "#! +%$+%$-% %*/ */# # /#$+ /#$+ + + MA@A @A A. J. 13 13 S% %*/"!/0',+ $% +,%# ) !#' $% ',%*' 8,% +#* !!+/!$#+ "#! ,* '#!!-%*/%. P#! +, '#"#!/-%*/# +%! /!*+"#!/$# "#! ,* '#!!-%*/% % +%$-%*/# +% ",%$% $-%!%*'-! %* $#+ !*$%+ !,"#+> % 8,% +% %*',%*/! %* % #*$# $% ','% ) % /%!- $% &$#. 8
ROC7A ROC7A F. A. 2* 2* S%$-%*/# %+ ,* "9! 8,% /-%*% $-%!%*/%+ +-*--'$#+ %* $-%!%*/%+ '-%*'-+. E* (-$!,-' ,&- %*/%*$%#+ "#! +%$+%$-% %*/ */# # ', ',8, 8,-% -%!! /% /%!!- + + "%+ "%+$# $# 8,% 8,% % , , 8,% 8,% %+ /!*+"#!/$ %* * #%*/# "#! '#!!-%*/% ) ,%# $%"#+-/$#. E* '#*+%',%*'- %* H-$!,-' F,&- "9! +%$-%*/# +% "-' /*/# ,* %*#!% !#' '## ,* -* "!/0', $% !'-. E* %*% %*%! ! #+ #+ +%$+%$-% %*/ */#+ #+ %+/ %+/* * '#*+ '#*+/-/-/, /,-$ -$#+ #+ "#! "#! /% /%!!- %+ %+ *# '#(%+-&#+ '## -#+ !%*+ !&+ ) %&%*/,%*/% "-%$!+.
V.2.2. V. 2.2. Or%"e Or%"en n $e $e Se$%'en Se$%'en(o) (o) L ,%*/% "!-*'-" '#*+/-/,)%* '#*+/-/,)%* #+ +,%#+ ) !#'+ 8,% +% %*',%*/!* %*',%*/!* %* ',%* ',%*'' ) % , , ) % &-%* &-%*//# +#* +#* %* *,%+ *,%+//!# %$-# %$-# #+ #+ "!-*'-"%+ %*/%+ $% %!#+-* ) $% /!*+"#!/%. P#! #/!# $# $$ '/'/-&&-$ $$ $ $% $% (#9 (#9!% !% %* % %$%$-# # 8,% 8,% # !#$% !#$% + + ,%* ,%*/% /%++ $% $% +%$-%*/# ",%$%* '+--'!+% %* */,!%+ ) !/--'-%+.
V.2.*. V. 2.*. +ro,% +ro,%e$a$e) e$a$e) $e $e !o) )e$%'en(o )e$%'en(o)) L+ '!'/%!0+/-'+ 8,% $%-*%* #+ "!#'%+#+ $% +,+"%*+-* /!*+"#!/% ) "#+/ "#+/%! %!-# -#!! $%"# $%"#++-''-* * $% $% +%$+%$-% %*/ */# # $%"% $%"%*$ *$%* %* *# +# +# $% + + '#*$-'-#*%+ $% ,@# +-*# /9-?* $% + "!#"-%$$%+ $% +%$-%*/#. E+/+ "!#"-%$$%+ ",%$%* '!'/%!-! +%$-%*/# '## ,* '#*@,*/# # + "!/0',+ 8,% # #!* -*$-&-$,%*/%. P!#"-%$$%+ -*$-&-$,%+ $% + "!/0',+ 8,% '#*+/-/,)%* % +,%# !*,! !*,! ) 8,% $%9%* '#*#'%!+% '#*#'%!+% "! !%+#&%! "!#9%+ $% (-$!,-' (-$!,-' ,&-: • • • •
P%+# %+"%'--' # + %+"%'--'. F#! T<# V%#'-$$ $% '0$
S% $%9% '#*#'%! /9-?* + "!#"-%$$%+ !%%!%*/%+ ,* '#*@,*/# !*$% $% "!/0',+ $% + ',%+ + + -"#!/*/%+ +#*: D-+/!-9,'-* !*,#?/!-' P%+# &#,?/!-'# • •
A. P%+# %+"%'0-'# $% + "!/0',+: E+ !%'-* %*/!% % "%+# $% "!/0', ) +, &#,%* # # 8,% %+ -, % P!#$,'/# $% $%*+-$$ ) '%%!'-* $% !&%$$. 9
γ S
=
P
V γ S = g • ρ s
D#*$%: γ s= Peso especifico especifico de la particula P= peso de la particula ( N ) . m/s 2 g= Aceleracion Aceleracion de la gravedad gravedad ¿ ;
CUADRO N°2: Rango de valores del peso específco de partículas solidad MATE MATER RIAL IAL P!"#$s % g&'$##(s
ɣs [Kgv/m3] ST
ɣs [N/m [N/m3] 3] SI
18000 $ 28000 1800 $ 2800 21000 $ )#$v$s 24000 2100 $ 2400 26000 $ A#!*$s 27000 2600 $ 2700 FUENTE: A!A" #" A" $%&'
B. G!& G!&%$ %$$ $ %+"%'%+"%'---' ' L !&%$$ %+"%'0-' G +% $%-*% '## !%'-* %*/!% $%*+-$$ $% "!/0', +-$ ) $%*+-$$ $% , 4C. G
=
ρ S
=
γ S
ρ
=
γ S γ
C. D%*+-$ D%*+-$$ $ !%/!%/-&: &:
∇= +D%*+-$$
ρ S − ρ ρ
− γ
γ
!%/-& ',)# &#! '#* "! ',!#+ %+ $% 1.65. 10
D. P%+# P%+# %+"%'0%+"%'0-'# '# +,%!+,%!-$#: $#: S% $%-*% "#! $-%!%*'- %*/!% % "%+# %+"%'0-'# $% +%$-%*/# ) % "%+# %+"%'0-'# $% , γ S
= γ S − γ
E. P%+# P%+# %+"%' %+"%'00-'# '# $% %' %' ,+% ,+%$- $-%*/ %*/# # ɣ;: C,*$# % , %& /%!- +#-$# %* +,+"%*+-* / '## -# !'- %/'. +, "%+# %+"%'0-'# $--%!% $% "%+# %+"%'0-'# $% , '! ) +% ",%$% '',! '#* +-,-%*/% %="!%+-*:
= γ +
γ m
∀ S ( γ − γ ) ∀ m S
D#*$%: ∀ s =Volumen de sedimentodel sedimento del pesoespecifi peso especifico co γs ∀ m = Volumende lamezcl la mezcla a
∁ s =Concentr Concentracio acion n de sedimen sedimento to en suspen suspension sion ( en peso peso )
C S
=
W S
∀m
=
γ S • ∀ S
∀m
F. C#*' C#*'%* %*/! /!' '- -*: *: E+ '*/-$$ $% "!/0',+ '#*/%*-$+ %* % +%*# $% ,* 08,-$# ', +% ",%$% ",%$% C' C', ,! ! '#" '#"! !*$ *$# # "%+#+ "%+#+ '#*' '#*'%* %*/! /!''-* * %* "%+# "%+#;; # &# &#%* %*%+ %+ '#*' '#*'%*/ %*/!' !'- -* * %* &#, &#,% %*; *;.. E* (-$! (-$!, ,-' -' ,&,&- +% '#*+-$%! '#*+-$%! 8,% '#*'%*/!'-* '#*'%*/!'-* $% "!/0',+ "!/0',+ %* +,+"%*+-* +,+"%*+-* *# -*',)% -*',)% /%!- &%%/ *- +-$#+ $-+,%/#+. P#! %# "! +%"!! + "!/0',+ $% +%$-%*/#+ ,%+/! $%9% $%'*/!+% # -/!!+% ) *# %&"#!!+%. •
C#*'%*/!'-* %* "%+#
E=-+/%* &!-+ #!+ $% %="!%+! '#*'%*/!'-* %* "%+# +-%*$# ,* $% %+ 8,% !%'-#* % "%+# +%'# $% #+ +%$-%*/#+ '#* % &#,%* /#/ $% ,%+/! 11
C S
=
W S
=
∀m
γ S • ∀ S
∀m
∀ s =Volumen de sedimentodel sedimento del pesoespecifi peso especifico co γs
la mezcla a ∀ m = Volumende lamezcl
∁ s =Concentr Concentracio acion n de sedimen sedimento to en suspen suspension sion ( en peso peso )
L '#*'%*/!'-* %* "%+# +% %="!%+ %* "!/%+ "#! -* /%*-%*$# "! % , +-,-%*/% %8,-&%*'-: 1 PPm
•
10 =
6
−
m
3
t
C#*'%*/!'-* %* &#,%*
S% $%-*% '## !%'-* %*/!% % &#,%* $% #+ +-$#+ 8,% () %* ,%+/! ) % &#,%* /#/ $% -+ C S
=
∀ S γ m • W S = ∀ m γ S • W m
D#*$%: ∀ s =Volumen de sedimentodel sedimento del pesoespecifi peso especifico co ( ppm )
la mezcla a ∀ m = Volumende lamezcl
s =Concentraci Concentracion on de sedimento sedimento en suspension suspension ( en peso ) ∁ Ws= peso de solidos
Wm= pesode peso de la muestra γm = peso especifico de lamuestra la muestra
γs= peso especifico especifico de los solidos
1 PPm = 10
−6
m3 m3
=
ml m3
G. F#!+ F#!+ $% + + "!/0' "!/0',+ ,+:: E+ ,* '!'/%!0+/-' 8,% $%/%!-* % #$# $% #&--%*/# $% "!/ "!/0' 0', , !*# !*#++ $% #! #! " "* *$ $ %* % %'( %'(# # $-0 $-0''- %*/ %*/% % +% ,%&%* "#! !#/'-* "%!# +0 +% $%+"* '-%*/% # %&%*/,%*/% 12
",%$% ",%$%* * +/ +/!;. !;. N#! N#! % %*/ */% % +% $%$%-*% *% /!&? /!&?++ $% !%$#* !%$#*$% $% %+%!-'-$$ ) % '/#! $% #!. •
R%$#*$%
S% $%-*% "#! !%'-* %*/!% % !$-# %$-# $% + !-+/+ ) %+8,-*+ $% "!/0', ) % !$-# $% '-!',*%!%*'- -*+'!-/ %* =- !% "!#)%'/$ $% "!/0',. •
E+%!-'-$$
E+ !% !%''-* * %*/! %*/!% % % !% !% +,"%! +,"%!--''- $% ,* %+%! %+%! $% &#, &#,% %* * %8,-&%*/% $% "!/0', ) % !% +,"%!-'- $% "!/0',. L %+%!-'-$$ @,% ,* ""% -"#!/*/% %* $%/%!-*'-* $% &%#'-$$ $% '0$. L %+%!-'-$$ $%"%*$% $% '#"#+-'-* -*%! $% "!/0',. 2
ϑ = 3
c b
= 3 b a
b•c a2
D#*$%: ϑ = Esfericidad Esfericidad
a = Arista mas larga
b = Arista de longitudintermedia c = Arista mas corta •
F'/#! #!
S% $%-*% "#! +-,-%*/% %','-*. S . F =
C AB
H. T<# <# $% + + "!/0', "!/0',+: +: E /<# $% ,* "!/0', $% +%$-%*/#+ %+ +, '!'/%!0+/-' + -"#!/*/% ) $% 0 8,% ,% *-' "!#"-%$$ 8,% +% ,/-- %* % "+$# "! '!'/%!-! % !*# $% +%$-%*/#. S-* %9!# ',*$# #! $%*+-$$ ) $-+/!-9,'-* !*,#?/!-' +#* +%%@*/%+ 13
+% "#$!0 '#*+-$%!! 8,% &!-'-* $% /<# $%-*% &!-'-* $% '#"#!/-%*/# $% +%$-%*/#. A '#*/-*,'-* +% '-/* #+ $-%/!#+ '!'/%!0+/-'#+. I. V%#' V%#'-$ -$$ $ $% $% '0$ '0$ $% $% ,* ,* "!/0' "!/0',: ,: L &%#'-$$ $% '0$ %+ =- &%#'-$$ 8,% "!/0', '* ',*$# '% -9!%%*/% -9!%%*/% %* ,. L &%#'-$$ $% '0$ /-%*% %* ',%*/ % "%+# #! % /<# $% "!/0', /%"%!/,! ) $%*+-$$ $% ,. Velocidad de caída de una espera: L %="!%+-* %*%! "! #9/%*%!
&%#'-$$ $% '0$ $% ,* %+%! %+:
4 g ∗ ∆ D ω = 3C D
1/ 2
D#*$%: ω =veloc velocidd iddad ad de caidaen caidaen ( m / s ) m 2/ s g= graveda gravedad d en ¿ ; D= Diametro Diametro de la particula en ( m ) C D =Coeficie Coeficiente nte de arrastr arrastree uedepende uedepende del numerode numerode !e"nols !e"nols # = pesoespecifi peso especifico co de la particula sumergida sumergida
∆ = ( γ s − γ ) / γ D#*$%:
$gf / / m 3 γ = peso especifico del agua en ¿ ;
$gf / / m 3 γs= peso especifico de los solidos en ¿ ;
C D
=
24 Re
D#*$%: ∁ Coeficiente nte de arrastr arrastree ue dependedel dependedel numero numero de !enols !enols D =Coeficie
14
ℜ= Numero de !e"nols Re =
ω ∗ d ν
D#*$%: ℜ= Numero de !e"nols m/s ω =Velocidadde elocidadde caida caida en ¿ ; D= Diametro Diametro de la particula m 3/ s v =Viscosida iscosidad d dinamic dinamica a del aguaen aguaen ¿ ; &!- '#* /%".
V.3.
EL FONDO MOVI VIL L:
V.*.1. V. *.1. Conce, Conce,(o (o $e %n%c%ac%&n %n%c%ac%&n $e 'o-%'%en( 'o-%'%en(o o E '#*#'--%*/# $% + '#*$-'-#*%+ $% -*-'-'-* $% #&--%*/# "%!-/% '' '', ,! ! % +/ +/# # ++-$# $# $% #*$ #*$# # +0 '## '## $-% $-%*+*+-#* #*! ! '* '*% %++ %+/9%+ $-+%<! +-+/%+ $% "!#/%''-* '#*/! %!#+-* ) !%+#&%! *,%!#+#+ "!#9%+ $% (-$!,-' ,&-. H) H) $#+ $#+ #! #!+ + $% "!# "!#==- !+ !+% % %+/, %+/,$$-# # $% -*-' -*-'- -''-* * $% $% #&--%*/#. U* $% %+ +% !%-%!% ''-* $% %+,%!# $% '#!/% # ,%! /!'/-& ) #/! #! %+ $%/%!-*'-* $% &%#'-$$ '!0/-'. A. C!-/%!-# $% ,%! /!'/-& '!-/-' S%* !#'( +%< 8,% ,%! 8,% %@%!'% '#!!-%*/% +#9!% % #*$# %
"#! ,*-$$ $% !% +% $%*#-* ,%! /!'/-& (¿¿ 0 ) . E #&--%*/# ¿ $% + "!/0',+ '#*+/-/,)%*/%+ $% %'(# %"-% ',*$# ,%! /!'//!'/-& & %+ )#! )#! 8,% ,%! ,%! /!'/-& /!'/-& '!-/-' '!-/-' ( % ∗c ) S% $%*#-* ,%! /!'/-& '!-/-' ,%! 0*- *%'%+!- "! "#*%! %* #&--%*/# + "!/0',+ '#*+/-/,)%*/%+ $% %'(#. •
E+,%!# '#!/*/% %$-# +#9!% % %'(#. τ 0 15
= ALS
τ = γ RS
D#*$%: % 0 = &uerzatractic &uerza tractica a % = &uerzatractiv &uerza tractiva a unitaria sobre sobre el fondo o esfuerzocortante . γ = Peso especifico del agua
!= !adio 'idraulico 'idraulico ( = pendiente
)= )ongitud )ongitud del tramo delcanal del canal A = areamo*ada •
E+,%!# '#!/*/% '!0/-'#.
M,'(#+ ?/#$#+ +% (* "!#",%+/# "! %&,! % %+,%!# '#!/*/% '!0/-'# '!0/-'# $% M/%!-%+ M/%!-%+ *# '#(%+-&#+ '#(%+-&#+ $% !*,#%/!0 !*,#%/!0 ,*-#!% ,*-#!% +-%*$# '#*/!-9,'-* + I"#!/*/% $% +-# "!#",%+/ "#! S(-%$+ 8,% +% -,+/! %* -,!: FIGURA N° 1: DIAGRAMA DE SHIELDS PARA LA INICIACION
; P! P!% %/! /!# # $% SHIE SHIELD LDS. S.
16
τ ∗C
=
2
τ 0
( γ S − γ ) ∗ D50
=
ρ V ∗
( γ S − γ ) D50
9; K*$-'% K*$-'% $% -*%+/ -*%+/9- 9--$ -$$ $ Re =
V ∗ ∗ D50 ν
B. C!-/%!-# C!-/%!-# 9+$# 9+$# %* %* &%#'-$$ &%#'-$$ $% ,@# O/!# '!-/%!-# "! $%/%!-*! % -*-'-# $% /!*+"#!/% $% +%$-%*/#+ '#*+-+/% %* '#"!! &%#'-$$ %$- $% ,@# '#* &%#'-$$ %$- '!0/-'. E*/!% + "%8,%<# +% % /-!*/% $% , %*#! %+ &%#'-$$ %$- $% ,@# 8,% +% !%8,-%!% "! %"%! % /!*+"#!/% $% +%$-%*/#+. +%$-%*/#+. D%9-$# + $--',/$%+ $--',/$%+ %* $%/%!-*'$%/%!-*'-* * $% %+,%!# '#!/*/% $% ,* ','% % %*#8,% %"0!-'# "! $%/%!-*! &%#'-$$%+ %$-+ %* !0#+ ( "!%&%'-$# # !# $% /-%"#. •
V%#'-$$ %$- $% ,@#: %','-* + %*%! %+ $% C(%) '#* '#%-'-%*/% $% !%+-+/%*'- ,@# $$# "#! M**-*
V = C RI
=
1
n
R 2 / 3 S 1 / 2
D#*$%: V =Velocidad elocidad media media enla en la secciontran secciontransve sversal rsaldel del cauca cauca . != !adio 'idraulico .
( =+radien +radiente te 'idrauli 'idraulico co . C =Coefic Coeficien iente te dderesiste dderesistenci ncia a al flu*o flu*o .
n =Coefici Coeficiente entede de rugosi rugosidad dad de ,anning ,anning .
V.4.
TRAN TR ANSP SPO ORT RTE E EN EN FO FOND NDO: O:
C,*$# % %+,%!# $% '#!/% "!#%$-# %* % #*$# %='%$% ,%! /!'/-& '!-/-' "! % /%!- %+/$0+/-'%*/% + "!/0',+ $% #*$# %"-%* #&%!+% %* $-!%''-* $% ,@#. L+ "!/0',+ +% ,%&%* $% $-%!%*/%+ #!+ $%"%*$-%*$# $% + '#*$-'-#*%+ $% ,@# /<# ) "%+# %+"%'0-'# $% + "!/0',+.
17
U* U* #! #! $% #&- #&--% -%*/ */# # $% + + "!/ "!/0' 0', ,+ + %+ "#! "#! !#$ !#$-%* %*/# /# # $%+ $%+- - -% -%*/ */# # # ! !# # $% $% %'( %'(#. #. T /-"# /-"# $% #&- #&--% -%*/ */# # $% + + "!/0',+ %+ %*%!%*/% $-+'#*/-*,#: "!/0', ",%$% $%+-!+% # !#$ !#$!! "#! "#! * * /-% /-%"# "# 8,%$ 8,%$! ! %+/ %+/''-#* #*$ $ "#! "#! #/!# #/!# /-% /-%"# "# ) *,%& *,%& %* %*/% /% %"% %"% !! % #&#&--%* %*/# /# "#! "#! * * #/!# #/!# /-% /-%"# "#.. E +%$-%*/# /!*+"#!/$# $% %+/ #! %+ '#*#'-$# '## A!!+/!% $% '#*/ '#*/' '/# /#. . U* U* +%, +%,*$ *$ #! #! $% #&#&--%* %*/# /# $% $% +%$+%$-% %*/ */# # %+ '#*#' '#*#'-$ -$ '## '## T! T!*+ *+"#! "#!/% /% "#! "#! S/ S/''-* *. . S/ S/''-* * %+ ,* #$# #$# -" -"'/ '/*/ */% % $% /!* /!*+" +"#!/ #!/% % %* '+# '+# $% /%! /%!- -% %++ *# '#(%+ '#(%+-& -&#+ #+ $% &%#'-$$%+ &%#'-$$%+ $% '0$ !%/-&%*/% !%/-&%*/% /+. E /%!'%! #$# $% /!*+"#!/% /!*+"#!/% %+ % T! T!*+ *+"# "#!/ !/% % %* S,+"% S,+"%*+ *+- -* * %* %+/% %+/% '+# '+# + + "!/ "!/0' 0', ,+ + $% +%$-%*/# +#* '#*/-*,%*/% +#"#!/$#+ "#! /,!9,%*'- $% ,@#.
V..1. V. .1. Ca!cu Ca!cu!o !o $e re)%)(enc% re)%)(enc%aa a! !u/o: !u/o: L#+ %+/,$-#+ $% !%+-+/%*'- ,@# +% !%-* %* 9-*%/% '#* #+ $/#+ #9/% #9/%**-$# $#++ $% $% '"# "#! $-%!%* %!%*//%+ ?/# ?/#$#+ $#+ 8,% 8,% (* +-$# $%+ $%+!! !!# # $# $#++ '#* '#* % #9@% #9@%//-&# &# $% !% !%''-#* #*! ! #+ #+ "! "!% %/! /!#+ #+ +%$-%*/#-'#+. FORMULA DE PARIS. C C 0
τ 0 τ 0 . 12 = 1 − 0.47 Log 0 + Log τ τ C C
2
τ 0 τ C = C 0 (1 − 0.47 Log 0 + 0 . 12 Log τ τ C C D#*$%: C =Coeficient Coeficientee de c'ez" C 0 =Coeficie Coeficiente nte de C'ez" C'ez" para para lacondicion lacondicion critica critica :
C 0
32 Log 10
=
D35 hc
'c = Profundidad Profundidad critica para para una pendiente (
hc
=
τ C ⋅ D35 ⋅ ( γ S
18
γ ⋅ S
− γ )
2
)
% c = &uerza tractiva critica % 0 = &uerzatractiv &uerza tractiva a sobre sobre el fondo
τ ∗C
=
τ C
( γ S − γ ) • D
% ¿ C = Parametro Adimensional de ('ields . este se obtiene mediantela mediante larel relacion acion grafica propuesta propuesta por s'ields
R
n=
V
=
1
6
C
(
)
C ⋅ R • S
Q
1 2
= V • A
METODO DE BRONLIE. R?-%* $% !-#+ ) $,*+ 1.529
q g • D 3
R = 4.57 D 1.529
R q = 4.57 D
S 0.,389 σ
0.161
S 0.,389 σ 0.161
•
g • D 3
R?-%* $% */-$,*+ ) !"-$+ 1.60
q g • D 3
R = 7.51 D Q
19
= q ∗ T
S 0., 46 σ 0.128
D#*$%: =Caudal Caudal liuido liuido por unidad unidad deanc' de anc'o o ( caudal especifico especifico ) enm en m 3 / seg / m - = Desviacionestandar Desviacion estandar geometricade geometrica de los sedimentos dado por
n
σ =
∑ D − ( ∑ D ) 2
2
n( n − 1)
METODO DE RANGA RAJU. A =
Ka • V ( ρ ∗
− 1) • g • R 1
R 3 S E = Kb ⋅ ⋅ ∗ D 50 ρ − 1 ρ ∗
=
ρ S ρ
D#*$%: A ) EP!%/!#+ $% R* R@,. S% #9/-%*% % &#! $% A %* ,*'-* $% E %$-*/% % !-'# $% R* R@,. ) 9 C#*+/*/%+ $% R* R@, 8,% $%"%*$%* $% D5. D5 D-%/!# '#!!%+"#*$-%*/% 5 $% /%!- ',,$# %* % *-+-+ !*,#?/!-'# "#! /-$#. V.5.
TRAN TR ANSP SPOR ORTE TE EN SU SUSP SPEN ENSI SION ON::
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
V.5.1 5.1.. M0( M0(o$o o$o $e co! co!.. S%* B.R. '#9): L#+ $-!+ $% G++ %* ,*'-* $% &%#'-$$ "! 4 "!#,*$-$$%+ /-!*/% '#* '/#! 1 ) '#* '/#! 3 $% '#!!%''-*; "! %+/# +% $%9% '#*/! '#* #+ $/#+ $% &%#'-$$ ) % /-!*/% (-$!,-'#. Gss = K ∗ Gss" K = 1 + ( K 1 ∗ K 2
− 1)(0.01) K 3
Gss" = Gss 1 ∗ C
D#*$%: 1 2 3 F'/#!%+ $% '#!!%''-*. G++ G+/# +#-$# $% +,+"%*+-* '#!!%-$. C F'/#! $% '#!!%''-* $% ,* /#*%$. USDA$0 2. / $0. G++ G+/# +#-$# $% +,+"%*+-* #9/%*-$ $% +-,-%*/% !-'.
V.5.2. V. 5.2. M0(o$ M0(o$o o $e Gar$e +an$e. +an$e. 4
V = 0.000051 ∗ q • γ ω Tss
21
4
Tss Tss
V = 0.000051 ∗ ⋅ q ⋅ γ ω
V ∗
τ o
=
ρ
=
g ⋅ R ⋅ S
D#*$%: ss=rasnpor rasnporte te solido solido en suspensi suspension on por unidad unidad de anc'oe anc'oen n /g/ seg / m V ¿ =Velociddade corte
V.5.* 5.*.. M0( M0(o$o o$o $e Sa'a"a Sa'a"a.. 1
1
φ =
Tss Tss γ S
Tss Tss
=
γ 2 1 2 ⋅ ⋅ g ⋅ D 3 γ − γ S 50 φ ⋅ γ S 1
1
γ 2 1 2 ⋅ 3 γ − γ S g ⋅ D φ = 30τ 3 ∗
τ ∗=
V.6.
τ O
( γ S − γ ) D
=
γ ⋅ V ∗2
( γ S − γ ) g ⋅ D
TRAN TR ANSP SPO ORT RTE E TOT OTA AL:
G%*%!%*/% +% '', +,*$# % /!*+"#!/% %* +,+"%*+-* '#* % /!*+"#!/% $% #*$#. L+ L+ $#+ #! #!+ + $% /!* /!*+"# +"#!/ !/% % $% +-$ +-$#+ #+ +#* +#* ,*$ ,*$ %* %*/ / %* %*/% /% $-%!%*/%+. P#! %+# )#! "!/% $% #+ -*&%+/-$#!%+ !%'#-%*$*: '',! + $#+ "!/%+ +%"!$%*/% ) 8,% +, $% + $#+ %+ '"'-$$ $% /!*+"#!/% /#/. N# #9+/*/% ,*#+ -*&%+/-$#!%+ !%'#-%*$* #!,+ # $-!+ "! +, +#+/%*-%*$# 8,% 9+ "!/%+ $%"%*$%* $% #+ -+#+ -+#+ "!%/!#+ $% ,@#. E+/% '-*# %+ ,) +-"% ) *#!%*/% #+
22
!%+, !%+,//$ $#+ #+ +#* +#* ,) ,) +/+/-+ +' '/# /#!!-#+ #+.. P#! P#! %+/ %+/ ! !* * %+ 8,% 8,% %+/ %+/++ !%'-#*%+ +#* ,+$+.
V.3.1. V. 3.1. M0(o$ M0(o$o o $e Ac4e) Ac4e) 6%(e 6%(e P#+/, !# !#* * 8,% 8,% +## +## "!/% "!/% $% $% %+, %+,%! %!# # $% '#!/ '#!/% % GARDE GARDE R. = = P#+/, %*% %*%! !$# $# %* % #*$ #*$# # $% $% !0# !0# %+ %%' %%'/-/-& &% %*/ */% % % ',+ ',+* */% /% $% #&#&--%* %*/# /# $% + + "!/ "!/0' 0', ,+. +. B@# B@# %+/ %+/ "!%+ "!%+%*' %*'- - $%$%-**-%! %!#* #* ,* "!%/!# $% #&--$$ $% +%$-%*/#+. E* /?!-*#+ $% "!%/!#+ $% ,@# ) $%+'! $% +-$#+. 1
φ =
T ST γ S
T ST
γ ⋅ γ − γ S
1
1 2 ⋅ 3 g D ⋅ 50
φ ⋅ γ S
=
1
1
γ 2 1 2 ⋅ 3 γ − γ ⋅ g D S 1
1
φ =
2
C ( g ⋅ ) 2 ⋅ φ γ 2 γ V ∗
4
⋅ ⋅ γ ⋅ γ − γ S S V
V
C 4
τ ∗0.5 G = C 2 ⋅ − 1 C 3
L#+ &#!%+ $% '1 '2 '3 '4 $%"%*$%* $% D Q % ', %+/ $$# "#!:
( γ − γ ) ⋅ g = D S 2 γ ⋅ υ
D∗
A$%+ $% 8,% P! #+ &#!%+ $%:
1
< D ¿ < 60 C 1
Logc 2
= 1 − 0 .56 LogD*
= 2.86 LogD* − ( LogD∗ ) 2 − 3.54
23
C 3
=
0.23 1 2 *
+ 0.14
D
C 4
=
9.66 D*
+ 1.34
P! #+ &#!%+ $%: D¿ > 60 C 1 =0 : C 2= 0.025 0.17 : C 4=1.50 C 3 =0.17
D#*$%: = Paramero de transporte
∅
V ¿ =Velocidadde corte
V.3.2. V. 3.2. Me(o$ Me(o$o o $e En"e!un$ En"e!un$ 7an)en. 7an)en. DE +IEROLA C. 3. P!#",+-%!#* %','-* $% /!*+"#!/% /#/ %* 9+% !%'-* '#* % %+,%!# $% '#!/% ) % '/#! $% !-''-* $% #*$#. L,%# $% ,* "-# %+/,$-# '#* $/#+ #9/%*-$#+ %* 9#!/#!-# "!#",+-%!#* "!#",+-%!#* ,* %','-* %','-* &-$ "! /#$#+ #+ !%0%*%+ $% ,@# 8,% +% %+/,$- + $%*/% "!/% $% %/#$##0. 1
1
φ =
T ST
T ST
γ S
=
γ 2 1 2 ⋅ ⋅ g ⋅ D 3 γ − γ S 50 φ ⋅ γ S 1
1
γ 2 1 2 ⋅ g ⋅ D 3 γ − γ S 50 5
φ ⋅ ! = 0.4τ * 2 5
φ = =
24
0.4τ * 2
!
2
V ! = 8 * V τ *
=
τ o
( γ S − γ ) ⋅ D
D#*$%: ( =ransport ransportee solidostotal solidostotal por unidad unidad deanc' de anc'o o /g / seg/ m f = factor de fricci friccion on =factor
VI.
MET ETO ODOS 8 MA MAT TER ERIA IAL LES: VI.1 VI .1.. AM AMBI BITO TO DEL DEL ES ESTU TUDI DIO: O: S% $%--/ % !% $% %+/,$-# '#!!%+"#*$-%*/% ',%*' $% !-# V%!$% L-#*. S% $%+'!-9%* + "!-*'-"%+ '!'/%!0+/-'+ !%%&*/%+ "! % %+/,$-# $% %!#+-* ) % /!*+"#!/% $% +%$-%*/# !%-%&% (-$!#!0 %##0 ) -/##0 '- &%%/'-* ) ,+#+ $% +,%# ) '!'/%!0+/-'+ $% #+ +,%#+;.
VI.1.1.Carac(er#)(%ca) Genera!e). I.1.1.1.
U9-''-*:
A. U9-''-* G%#!-': Coor$ena$a) Geo"r%ca): L/-/,$ +,!: L#*-/,$ O%+/%: Coor$ena$a) UTM: N#!/%: E+/%: L%'%(e) 7%$ro"r%co): N#!/%: S,!: E+/%: O%+/%: B. U9-''U9-''-* * P#0/ P#0/-': -': •
•
•
25
L ',%*' $% !0# V%!$% L-#* +% ,9-' 0*/%!%*/% $%*/! */!# $% D%"!/ !/%* %*//# $% P,*# #'," + +,"%!-'-%+ $% + "!#&-*'-+ $% L" ) ,* "!/% $% +* !#*.
VI.1.2.A),ec(o )oc%oecon&'%co. I.1.1.2.
U9-''-*:
L "#9'-* /#/ $% ',%*' $% R0# L-#* V%!$% %* % $-+/!-/# $% +*/ ,'- %+ $% 2217 (9-/*/%+. E 7.4 $% "#9'-* /#/ +% ,9-' $%*/!# $% !% ,!9* ) % 2.51 %* #* !,!> -%*/!+ 8,% % 4.51 %+ $% +%=# +',-*# ) % 5.4 %+ $% +%=# %%*-*#.
VI.1.*.Acce)%%!%$a$ 9 -#a) $e Co'un%cac%&n. L '-,$$ $% J,-' %+ % '%*/!# ,!9*# + !%%&*/% %* ',%*' $% !0# LIMON VERDE "!'/-'%*/% % /-%"# $% ''%+# %* ,* ,*-$$ &- $%+$% '-,$$ $% J,-' ('- ',8,-%! ,! $% ',%*' %+ $% ,* "!#%$-# $% 1 ) %$- (#!+. L+ &0+ $% '#,*-''-* %+/* '#",%+ '#",%+/+ /+ "#! #+ +-+/% +-+/%++ $% /!*+" /!*+"#!/ #!/% % '!!%/% '!!%/%!# !# %!!#&%!!#&-!-# !-# ) ?!%#. E +-+/% $% /!*+"#!/% /!*+"#!/% '!!%/%!# %+ % + %=/%*+# ) ,*# $% #+ + -"#!/*/%+ $% #* $%9-$# +, #*-/,$ ) '*/-$$ $% &0+ $% '#,*-''-* %=-+/%*/%> +0 /%*%#+ 8,% /#$ #* %+/ !%'#!!-$ "#! ,* '!!%/%! "!-*'-" 8,% '#,*-' % $%"!/%*/# $% P,*# '#* '#+/ "%!,*. D-'( '!!%/%! ,*% + '-,$$%+ $% A!%8,-" J,-' ) ,*-$$%+ $-&%!++ $%+$% -%!+ (+/ "%+$+ /*/# *'-#*%+ '## -*/%!*'-#*%+.
VI.1..A),ec(o) F%)%o"r%co) $e! ;rea $e! E)(u$%o. L ',%*' $% !-# L-#* V%!$% %+/ '#*#!$# "#! + ',%*'+ $% #+ !0#+ C9*-+ ) L". S% '!'/%!- '## ,* +-+/% $% ',%*' %*$#!!%-' ,9-'$ %*/!% + "!#&-*'-+ $% S* R#* L" %* % D%"!/%*/# $% P,*#. L +,"%!-'-% /#/ $% ',%*' L-#* V%!$% %+ $% 4.44 2. S,+ '!'/%!0+/-'+ -+-#!-'+ "!-*'-"%+ 8,% +#* /%!- $% %+/,$-# +#* + +-,-%*/%+: • • • •
C#/ =- $% ',%*' ' ,%*' L-#* V%!$%: 53 +*. C#/ 0*- $% ',%*' L-#* V%!$%: 3 +*. A/-/,$ %$- $% ',%*' $% !0# L": 4225 4225 +*. L#*-/,$ $% ','% + !# C,%*' L"; !-# L-#* V%!$%: 11.44 . 26
VI..2. MA VI MAT TER ERIIAL ALES ES::
VI.2.1.Traa/o en Ca',o. • • • • • • • • • •
-*'(. GPS M-! ) *-&% $% -*%*-%!#. E+/'. P. P-'#. R%'-"-%*/%+ "! %=/!''-* $% ,%+/!+ $% +,%#. R%'-"-%*/% $% %$-'-*. C,$%!*# $% ",*/%+ ) "-'%!#. C! #/#!-'.
VI.2.2.Traa/o en Laora(or%o. • •
• • •
T-'%+. B* * *0/-' $% ,* '%*/?+-# $% !# $% "!#=-'-*. R%'-"-%*/%+ "! "%+! + ,%+/!+. M# "! (##%*%-! ,%+/!. C,$%!*# $% ",*/%+ ) "-'%!# E8,-"# "! P!#'%$--%*/#+ $% L9#!/#!-#
VI.2.*.Traa/o en Ga%ne(e. • • •
C#",/$#! # "/#" C',$#! C,$%!*# $% ",*/%+.
VI..3. ME VI MET TODO DOLO LOGI GIAS AS:: E "!%+%*/% /!9@# ( +-$# #!-%*/$# #!-%*/$# ) !%-$# %$-*/% %@%','-* +%',%*'- $% + +-,-%*/%+ '/-&-$$%+ ) '#* "!/-'-"'-* $% ,* %8,%8,-"# "# $% %+/, %+/,$$-*/ */%+ %+ $% $% ',!+# ',!+# $% (-$! (-$!, ,-' -' ,& ,&- - #! #!' '-# -#* * (-'%#+ '#* % ?/#$# $% #/$#!.
VI.*.1.Bu)
/%+-+ %=-+/%*/%+ %* #+ !%-+/!#+ $% ',/$ B-9-#/%'; +0 '## -*#! -*#!'- '-* * %/%#!# %/%#!# -' -' % (-$!# (-$!#-' ' "%!/%* "%!/%*%'%'-%*/ %*/% % %+/'%+/'-#*% #*%++ #'-$+ %* #* ) +,+ "!#=--$$%+ ) -*#!'-* '!/#!-'. E* %+% %+% +%*/ +%*/-$ -$# # +% '#*/ '#*/ '#* '#* -*# -*#! !' '- -* * $% + + E+/ E+/''-#* #*%+ %+ M%/%#!#-'+ $% J,-': VI.*.2.Traa/o en Ca',o. E /!9@# $% '"# '#*+-+/% "!-%!%*/% %* % !%'#*#'--%*/# $% !0# $#*$% $#*$% +% !%-! !%-! % %+/,$%+/,$-# # +%$-% +%$-%*/# */# -'# -'# !0# L-#* L-#* V%!$%; V%!$%; "!#+-,-%*$# $% +-,-%*/% *%!. • • • • • •
• •
R%'#*#'--%*/# $% '"# !% $% %+/,$-#; U9-''-* $% ,* BM '#*#'-$# /-/,$ #*-/,$ GPS;. U9-'! ,* /!# + '!0/-'# ',!&;. D! "!#!%+-&+ $% -*-'-# -*. S%''-#*! % !-# %* #+ /!#+ $% %+/,$-#. I*-' I*-'- -!! % ,%+ ,%+/! /!%# %# $% /% /%!!- +%$+%$-% %*/ */$ $# # '$ '$ 1 1 '-'/+;. C',! % ',$ $% !-#. M%$-! &%#'-$$%+ $% /!*+"#!/%.
VI.*.*.Traa/o $e Laora(or%o. GRANULOMETRIA Y #9/%*-$+ + ,%+/!+ $% '$ /!# $% !% $% %+/,$-#. E* % 9# 9#! !/# /#!!-# # !% !%- - #+ #+ #+ #+ //- $# $#++ "! "! #9/% #9/%*% *%!! + + ',!& ',!&+ + !*,#?/!-'+ $% + ,%+/!+. E* % %+/,$-# $% /!*+"#!/% $% +-$#+ +% !%8, !%8,-% -%!% !% $- $-%/ %/!# !#++ '! '!'/ '/%! %!0+ 0+/-/-'# '#++ "! "! A"-' "-'' '- -* * $% + + $-%!%*/%+ !,+ $% '',# $% /!*+"#!/% $% +%$-%*/#+. P#! # /*/# "!/-! $% ',!& !*,#?/!-' %+ *%'%+!- #9/%*'-* $% $- $-%/ %/!# !#++ !%"! !%"!%+ %+%* %*/ //-/-&# &#++ '#!! '#!!%+ %+"# "#*$ *$-% -%*/ */%+ %+ #+ #+ "#!' "#!'%* %*/ /@% @%++ ',,$#+ ',,$#+ D1 D16 D35 D4 D5 D65 D. A+0 /9-?* /9-?* '',! '',! #+ $-%/!#+ %%'/-&#+. E "!#'%$--%*/# 8,% +% !%- "! '$ ,%+/! %+ % +-,-%*/%: S%'! + ,%+/!+ C,!/%! ,* ,%+/! "! (##%*%-!. P%+! ,%+/!. T-! % /%!- "#! + + -*$-'$+. T-! O9/%*%! $/#+ $% "%+# !%/%*-$# $% '$ '!-9. VI.*..Traa/o en Ga%ne(e. C#* ),$ $% E='% +% #9/,&-%!#*: 28
CURVAS CURVAS GANULOMETRICAS ANEO; PENDIENTE LONGITUDINAL DEL TRAMO DEL RIO SECCIONES TRNASVERSALES DE LOS TRAMOS .
• • •
VII. VI I.
RESU RE SUL LTADO DOS S 8 DI DISC SCUS USIO IONE NES: S: VII.1. VII. 1. DAT DATOS OS HIDRAUL HIDRAULICOS ICOS Y GEOMET GEOMETRICOS RICOS::
VII. VI I.1. 1.1. 1. +e +en$ n$%e %en( n(ee Lon"% Lon"%(u (u$% $%na na!! $e! $e! Tr Tra' a'o o $e! R%o R%o L%' L%'on on Ver$e. H*$# "%*$-%*/%: S = =
" L
D#*$%: ( = pendiente pendiente 0 = Diferenciaa de cotas entrelos entre los e1tremos del cauce 2 en m .
)= )ongitud )ongitud del cauce 2 enm en m .
S =
(4050 − 4018)m 1000 m
= 0.032
VII. VI I.1. 1.2. 2. Re Re,r ,re) e)en en(a (ac% c%on one) e) $e !a !a Secc% Secc%on on Tr Tran) an)-e -er) r)a! a!e) e) $e! $e! R%o L%'on Ver$e. E +%''-#*-%*/# +% !%- $% ,+ !!-9 $% R-# L-#* V%!$% $% $-+/!-/# $% S*/ ,'- "!#&-*'- $% L".
VII. VI I.1. 1.*. *.
Ve!oc oc%$ %$a$ a$ $e! F! F!u u/o /o..
P! %# %"%#+ %"%#+ % ?/#$# ?/#$# $% #/$#! #/$#! ) "! %# (%#+ /#$# 4 /-%"#+ %* ,* /!)%'/# $% 2 %/!# $% #*-/,$. t 1 =45.75 seg t 2 =32.04 seg
29
t 3 =26.42 seg t 4=37.55 seg t =35.44 seg. (tiempo promedio )
V =
d t
D#*$%:
V = velocidad ( m / seg )
d = distanciadel distanciadel recorrido recorrido en( m ) t =tiempo ( seg )
d =20 m ( distan distancia cia ue setom se tomo o en cuenta cuenta)
V =
20m 35.44 s#g
V = 0.564m / s#g
VII.1..
Cau$a!. Q
= V × A
D#*$%: 3= caudal ( m 3 / seg ) V = velocidad ( m / seg ) A = area area de secc seccio ion n del del rio rio ( m 2)
Sección o áre !e" rio Ver!e Li#on e"
V =0.564 m / seg
A =17.74 m 2 ( 0 + 000) 30
Q = 0.564m / s#g × 17.74m2 Q = 10.005m3 / s#g
VIII.
CONCLUSIONES: C#* C#* !%+"%' !%+"%'/# /# + + '!' '!'/% /%!0 !0+/ +/-' -'+ + %# %#?/ ?/!!-' '++ % (-$! (-$!, ,-' -'+ + +% "!#'%$- "!#'%$- +%''-#*! +%''-#*! % !0# %*/!% +0 '$ 2 %* $-'(# /!# +% ",$# #9/%*%! ,* "%*$-%*/% %$- $% .32.
I>.
BIBLIOGRAFIA:
•
•
•
•
>.
DE PIEROLA CANALES J. N. Cur)o $e Tran),or(e $e Se$%'en(o) en S%-*! !-# -# N'N'-#* #* $% H-$!# H-$!## #0 0 % cur)o) cur)o) $e a"ua a"ua A!u-%a!e !u-%a!e) ) IV S%-* H-$!,-' CIP. CIP. L-. 21;. JUARES B. ) RICO R. Mecn%ca $e Sue!o) T## I Y III T%!'%! E$-'-*. E$-/#!- L-,+ N#!-% E$-/#!%+. M?=-'# D. F.1; F.1; LESCANO ROCHA Tran),or(e Tran),or(e $e Se$%'en(o) P,9-''-* UNI L- P%! 16. VILLON B. M. 7%$ru!%ca $e Cana!e) E$-/#!- T%'*#-' $% C#+/ R-' 15;. (//":$%-*-'-#*.$%%!#+-#*-=2OO4NM
ANE>OS:
31
FOTOGRAFIA N°1: COTA DE INICIACION DE AFORACION
FOTOGRAFIA N°$: SECCIONAMIENTO DEL RIO LIMON VERDE
32
FOTOGRAFIA N°%: GRUPO DE E&UIPOS EN EL
FOTOGRAFIA N°': ALINEMAMIENTO PARA EL
33
FOTOGRAFIA N°(: LECTURA DEL TIRANTE DEL AGUA EN
FOTOGRADIA N°): INICIACION DEL AFORORAMIENTO DEL RIO METODO FLOT FLOTADOR ADOR
34
FOTGRAFIA N° *: VISTA DE LA UBICACI+N PAR EL
FOTOGRAFIA N°,: RIO LIMON VERDE
35
36
