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7/18/2019 Infiltracion en El Suelo1

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UNIVERSIDAD NACIONAL

SANTIAGO ANTÚNEZ DE MAYOLO

FACULTAD DE CIENCIAS AGRARIAS

ESCUELA ACADÉMICA PROFESIONAL DE INGENIERÍA AGRÍCOLA

INGENIERÍA AGRÍCOLA

HUARAZ-PERÚ-2014

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I/ INTRODUCCION........................................................................................ 2

II/ O5ETIVOS!.............................................................................................. 3

2/2 O5ETIVO GENERAL!..........................................................................3

2/6 O5ETIVOS ESPECIFICOS!..................................................................3

III/ ANTECEDENTES....................................................................................4

IV/ MARCO TEORICO...................................................................................5

4.1. Formas de agua en el suelo.................................................................5

4.2. Distribución vertical del agua en el suelo.............................................6

4.3. Parámetros de utilidad y caracterización del medio físico.....................8

4.4. asa De !nfiltración............................................................................10

4.". !nfiltración........................................................................................10

4.".1. #a$acidad de infiltración.............................................................114.".2. Descri$ción del $roceso de infiltración........................................11

4.".3. Factores %ue intervienen en la ca$acidad de infiltración...............13

4.".4. &edición De 'a !nfiltración..........................................................15

4.".". (cuación general de infiltración..................................................27

4.".). (cuaciones $ara el cálculo de la infiltración $untual.....................28

4.). *elación +umedad,ensión- #urvas #aracterísticas...........................31

V/ MATERIALES7 E8UIPOS!..........................................................................33

VI/ PROCEDIMIENTO EN EL CAMPO...........................................................33

VII/ CALCULOS Y RESULTADOS..................................................................38

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>./ L# ;)#$e 3e > e%@' *#m9$e'3&3# e'%$e 07 9$ ,' ,e)#%#%)me'%e e*#7 ,' m@&m# 3e %,$*&+' G7 *,'3# %#3# )#9#$# e%@' #*,93# 9#$ .,/G$3# 3e %,$*&+' e ) $e)*&+' e'%$e e) ;#),me' 3e ., e);#),me' 3e ., %,$*&+'/ De9,< 3e >,e ,' ,e)# %,$3#= 3$e'3# 9#$ .$;e33 )*' ) ))m3 *9*&33 3e*m9#/ E) *#'%e'&3# 3e =,me33 *#$$e9#'3&e'%e e%e e%3#e ) *9*&33 3e $e%e'*&+'/

Densidad mineral $ M VDensidad a$arente $" M V%Porosidad ' V( V%+umedad gravimtrica M M+umedad volumtrica > V V(

!6.4. asa De !nfiltraciónL % 3e &'(&)%$*&+' e ) ;e)#*&33 *#' ) >,e e) ., 9e'e%$e' e) ,e)# %$;< 3e , ,9e$(&*&e/ N#$m)me'%e ) e9$em#e' mm= , ;)#$ m@&m# *#&'*&3e *#' ) *#'3,*%&;&33

=&3$@,)&* 3e) ,e)# %,$3#/Te' e' *,e'% >,e ) % 3e &'(&)%$*&+' #"%e'&3 *#' e)m<%#3# 3e) 3#")e *&)&'3$# # 3#")e *&)&'3$# e' *#'3&*&#'e 3e '#%,$*&+' '# #' m, (&")e %m9#*# #' &'3&*%&; 3e)*#m9#$%m&e'%# 3e) ,e)# e' *#'3&*&#'e 3e *m9#7 '# e="&%,)7 '& ?' &>,&e$ *,'3# e $&e. m'%7 >,e #"$e ),9e$(&*&e 3e) %e$$e'# = ,' )@m&' 3e ., 3e ;$&# *m 3e)%,$ +)# e : e' *#'3&*&#'e e*e9*&#')e *#m# )&','3*&#'e # ) .$'3e ;e'&3 3e .,/

!6.". !nfiltración



0


L &'(&)%$*&+' e e) m#;&m&e'%# 3e) ., 3e ) ,9e$(&*&e =*& e)&'%e$&#$ 3e) ,e)#/ L &'(&)%$*&+' e ,' 9$#*e# 3e .$' &m9#$%'*&e*#'+m&*/ De) ., &'(&)%$3 e 9$#;ee' *& %#3 ) 9)'%%e$$e%$e m,*=# '&m)e )&me'% ) ., ,"%e$$@'e );e ) m#$: 3e ) *#$$&e'%e e' e) 9e$:#3# 3e e%&e $e3,*e) &','3*&#'e ) e$#&+' 3e) ,e)#/

F&.,$ J! I'(&)%$*&+' 3e) ., ,' *,e'* ,"%e$$@'e

E' e) 9$#*e# 3e &'(&)%$*&+' e 9,e3e' 3&%&'.,&$ %$e (e!

I'%e$*m"&#

Se 9$ee'% e' ) 9$%e ,9e$&#$ 3e) ,e)#7 3#'3e e) .,9,e3e $e%#$'$ ) %m+(e$ 9#$ me3&# 3e ) e;9#$*&+'3e"&3# ) m#;&m&e'%# *9&)$ # 9#$ me3&# 3e) %$'9&$*&+' 3e) 9)'%/

T$'m&&+'/O*,$$e *,'3# ) **&+' 3e ) .$;e33 ,9e$ ) 3e )*9&)$&33 #")&. ) ., 3e)&$e ;e$%&*)me'%e =%e'*#'%$$ ,' *9 &m9e$me")e/

C&$*,)*&+'/Se 9$ee'% *,'3# e) ., e *,m,) e' e) ,",e)# 3e"&3# ) 9$ee'*& 3e ,' *9 &m9e$me")e em9&e *&$*,)$ 9#$ ) **&+' 3e ) .$;e337 #"e3e*&e'3# ) )ee 3e)e*,$$&m&e'%# ,"%e$$@'e#/

!6.".1. #a$acidad de infiltración

E ) *'%&33 m@&m 3e ., >,e ,' ,e)# 9,e3e "#$"e$ 9#$ ,'&33 3e ,9e$(&*&e =#$&#'%) 9#$ ,'&33 3e %&em9#/ Se m&3e

9#$ ) )%,$ 3e ., >,e e &'(&)%$7 e9$e3 e' mm=#$/ L*9*&33 3e &'(&)%$*&+' 3&m&',e =% )*'$ ,' ;)#$ *&



1


*#'%'%e me3&3 >,e ) 9$e*&9&%*&+' e 9$#)#'.7 ee'%#'*e *,'3# em9&e e) e*,$$&m&e'%#/ A ) )),;& >,e e,9e$&#$ ) *9*&33 3e &'(&)%$*&+' e )e 3e'#m&' )),;&'e%e ) >,e e*,$$e/

A ) )),;& >,e *e e' e) %&em9# e' >,e = )),;& 'e% e )e ))m)),;& e(&*7 9#$ )# %'%#7 ) )),;& 'e% e>,&;)e ) )),;& e(&*/

!6.".2. Descri$ción del $roceso de infiltración

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F&.,$ NB/ Pe$(&) 3e =,me33 e' e) 9$#*e# 3e &'(&)%$*&+'/

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9e'3&e'%e )# 9e$m&%e'/

L *9*&33 3e &'(&)%$*&+' *#'#*&3 %m"&<' *#m# Q&'(&)%$"&)&333e) ,e)# e e) (),# >,e e) 9e$(&) 3e) ,e)# 9,e3e "#$"e$ %$;< 3e , ,9e$(&*&e7 *,'3# e m'%e'&3# e' *#'%*%# *#' e)., ) 9$e&+' %m#(<$&*/ M&e'%$ ) ;e)#*&33 3e 9#$%e 3e., ) ,9e$(&*&e 3e) ,e)# e me'#$ >,e ) &'(&)%$"&)&337 e)., e &'(&)%$ %' $@9&3me'%e *#m# e 9#$%3 ) ;e)#*&333e 9#$%e 3e%e$m&' ) ;e)#*&33 3e &'(&)%$*&+' # e7 e) 9$#*e#

e *#'%$#)3# 9#$ e) (),#/ S&' em"$.#7 ,' ;e >,e ) ;e)#*&333e 9#$%e e*e3e ) &'(&)%$"&)&33 3e) ,e)# e <% ?)%&m ) >,e



2


3e%e$m&' ) ;e)#*&33 $e) 3e &'(&)%$*&+' 3e ee m#3# e) 9$#*e#e *#'%$#)3# 9#$ ) *$*%e$:%&* 3e) 9e$(&)

E' e%e *#'%e%#7 ) &'(&)%$*&+' *,m,)37 e ) &'%e.$*&+' e' e)%&em9# 3e ) ;e)#*&33 3e &'(&)%$*&+'7 *#' ,' 3e9e'3e'*&*,$;&):'e 3e) %&em9# ,' 9e'3&e'%e >,e 3e*$e*e .$3,)me'%e/L &'(&)%$"&)&33 3e) ,e)# , ;$&*&+' e' e) %&em9# 3e9e'3e'3e) *#'%e'&3# 3e ., &'&*&) 3e ) ,**&+'7 : *#m# 3e )%e%,$7 e%$,*%,$ ,'&(#$m&33# e*,e'*& 3e )# e%$%# 3e)9e$(&) 3e) ,e)#/

&%&#;7 e' 1B27 (,e e) 9$&me$# >,e 9$#9,# e) ,# 3e ,'e*,*&+' em9:$&*7 9$ ) ;e)#*&33 3e &'(&)%$*&+' e9$e3'#$m)me'%e e' ,'&33e 3e )#'.&%,3 9#$ ,'&33 3e %&em9#/

T' -1 ' 0 1

D+'3e!I Ve)#*&33 3e &'(&)%$*&+' &'%'%@'eT T&em9# e' m&',%#/ C#'%'%e >,e $e9$ee'% ) ;e)#*&33 3e &'(&)%$*&+' 9$ %

1/' Pe'3&e'%e 3e ) *,$; 3e ;e)#*&33 3e &'(&)%$*&+' *#' $e9e*%#) %&em9#/

L &'(&)%$*&+' *,m,)37 e #"%&e'e &'%e.$'3# 1!

D=∫o

t

I 3T 2

D#'3e7 D e ) &'(&)%$*&+' *,m,)3 # )@m&' 3e .,*,m,)3 L/

P#$ #%$ 9$%e7 ) $e)*&+' m%em@%&* >,e e&%e e'%$e );e)#*&33 3e &'(&)%$*&+' e) %&em9# e%@ $e9$ee'%3 9#$ ,'(,'*&+' e9#'e'*&) &';e$/ A: %m"&<'7 *3 *m"&# e' )*$*%e$:%&* 3e) ,e)# 9$#;#*$@ &'%'%@'eme'%e ,'*#m9#$%m&e'%# &'.,)$ 3e) 9$#*e# 3e &'(&)%$*&+'7 >,e#";&me'%e e ;e$@ $e()e3# e' ,' .$@(&* 3e e% ;$&")e/

De e% m'e$7 e 9#&")e ;&,)&$ ,' (m&)& 3e *,$; 3e&'(&)%$*&+' 9$ *3 %&9# 3e ,e)#/



3


F&.,$ N / C,$; 3e &'(&)%$*&+'7 e.?' %e%,$ 3e) ,e)#

!6.".3. Factores %ue intervienen en la ca$acidad deinfiltración

T&9# 3e ,e)#! E'%$e m#$ e ) 9#$#&337 e) %m# 3e) 9$%:*,) e) e%3# 3e (&,$m&e'%# 3e) ,e)#7 m#$ e$@ ) *9*&33 3e &'(&)%$*&+'/

G$3# 3e =,me33 3e) ,e)#! L &'(&)%$*&+' ;$: e'9$#9#$*&+' &';e$ ) =,me33 3e) ,e)#7 e 3e*&$7 ,',e)# =?me3# 9$ee'% me'#$ *9*&33 3e &'(&)%$*&+' >,e,' ,e)# e*#

P$ee'*& 3e ,"%'*& *#)#&3)e! C& %#3# )# ,e)#*#'%&e'e' *#)#&3e/ L =&3$%*&+' 3e )# *#)#&3e ,me'%, %m# $e3,*e e) e9*&# 9$ ) &'(&)%$*&+' 3e) .,/

A**&+' 3e ) 9$e*&9&%*&+' #"$e e) ,e)#! E) ., 3e )),;&) *=#*$ *#' e) ,e)# (*&)&% ) *#m9*%*&+' 3e ,,9e$(&*&e 3&m&',e'3# ) *9*&33 3e &'(&)%$*&+' 9#$ #%$ 9$%e7 e) ., %$'9#$% m%e$&)e (&'# >,e %&e'3e' 3&m&',&$ ) 9#$#&33 3e ) ,9e$(&*&e 3e) ,e)#7 =,me3e*e) ,9e$(&*&e7 %,$'3# )# =#$&#'%e m@ 9$+&m# )m&m7 )# >,e ,me'% ) $e&%e'*& ) 9e'e%$*&+' 3e)., *%? #"$e ) 9$%:*,) 3e ,"%'*& *#)#&3)e>,e7 *#m# e 3&#7 $e3,*e' ) 3&me'&+' 3e )# e9*&#&'%e$.$',)$e/L &'%e'&33 3e e% **&+' ;$: *#' ) .$',)#me%$: 3e

)# ,e)#7 ) 9$ee'*& 3e ;e.e%*&+' ) %e'? #e)&m&'/



4


C,"&e$% ;e.e%)! C#' ,' *,"&e$% ;e.e%) '%,$) ,me'%) *9*&33 3e &'(&)%$*&+' e'*# 3e %e$$e'# *,)%&;3#73e9e'3e 3e) %$%m&e'%# >,e e )e 3< ) ,e)#/ L *,"&e$%;e.e%) 3e' (;#$e*e ) &'(&)%$*&+' 3&(&*,)% e)e*,$$&m&e'%# ,9e$(&*&) 3e) .,/ U' ;e >,e ) )),;&*e7 ) =,me33 3e) ,e)# e $e%&$3 %$;< 3e )$:*e7 ,me'%'3# ) *9*&33 3e &'(&)%$*&+' 9$9$+&m 9$e*&9&%*&#'e/

A**&+' 3e) =#m"$e 3e )# '&m)e! E) ,e)# ;&$.e' %&e'e,' e%$,*%,$ (;#$")e 9$ ) &'(&)%$*&+'7 )%# *#'%e'&3#3e m%e$& #$.@'&* m#$ %m# 3e )# 9#$#/ S& e) ,#3e ) %&e$$ %&e'e ",e' m'e# e 9$#&m )

*#'3&*&#'e *&%37 e (;#$e*e$@ e) 9$#*e# 3e )&'(&)%$*&+'7 e' *# *#'%$$&#7 *,'3# ) %&e$$ e%@#me%&3 ,' ,# &'%e'&;# 9#$ '&m)e # ,e%# ) 9#*#'%'%e 3e ;e=:*,)#7 ) ,9e$(&*&e e *#m9*% e;,e);e &m9e$me")e/

Tem9e$%,$!1/ L %em9e$%,$ " 3&(&*,)%' ) &'(&)%$*&+'/

2/ L ;$&*&#'e 3e ) *9*&33 3e &'(&)%$*&+' 9,e3e'

e$ *)&(&*3 e' 3# *%e.#$:!

A/ V$&*&#'e e' @$e .e#.$@(&* 3e"&3 )*#'3&*&#'e (:&* 3e) ,e)#/

/ V$&*&#'e %$;< 3e) %&em9# e' ,' ,9e$(&*&e)&m&%3! V$&*&#'e ',)e 3e"&3 ) **&+' 3e )#

'&m)e7 3e(#$e%*&+'7 e%*<%e$/ V$&*&#'e ',)e 3e"&3 3&(e$e'*& 3e

.$3# 3e =,me33 3e) ,e)#7 e%3# 3e3e$$#))# 3e ) ;e.e%*&+'7 %em9e$%,$7e%*<%e$/

V$&*&#'e )# )$.# 3e ) m&m

9$e*&9&%*&+'/

!6.".4. &edición De 'a !nfiltración



5


P$ me3&$ ) ;e)#*&33 3e &'(&)%$*&+'7 e&%e' ;$&# m<%#3#7e'%$e e))#!

(l caso del infiltrómetro de anillo sim$le

L# '&))# 3e &'(&)%$*&+' &$;e' 9$ =*e$ 9$,e" >,e3e%e$m&'' ) 9e$me"&)&33 e' ,e)#7 &m,)'3# e) 9$#*e#3e &'(&)%$*&+' 3e) ., e' e) ,e)# 3e3e @$e 3e &','3*&+'m9)&/ S, 3&@me%$# 9,e3e ;$&$ $e.,)$me'%e e'%$e 60 B0*m , )%,$ e'%$e 20 60 *m/ L 9$,e" e $e)&'e'%e$$'3# ;e$%&*)me'%e e) '&))# e' e) ,e)# ,'#*e'%:me%$#7 ))e'@'3#)# *#' ., 3e *)&33 &m&)$ ) )),;&%:9&* 3e) %e$$e'# m&3&e'3# ) % 3e 3e*e'# 3e e%

.,/ A: e &m,) e) @$e 3e &','3*&+'/

U' e>,em 3e ) 9$,e" e 9,e3e ;e$ e' ) F&.,$ 2/ M@3e)'%e e 3e%)) e) 9$#*e3&m&e'%# 9$ $e)&$)/

Figura 2- (s%uema de la $rueba de infiltración de anillo sim$le.

(n la Figura 2 se $uede observar %ue los flu:os subterráneos se vanabriendo; lo %ue ace menos razonable el su$uesto de flu:osverticales.

De =e*=#7 e%e e ,'# 3e )# e$$#$e m@ .$'3e >,e9$#3,*e e%@ e9e$&e'*&/



6


E$$#$ >,e e m.'&(&* & e 9&e' >,e e) ., %&e'3e &'(&)%$$e )# )$.# 3e ) ,9e$(&*&e 3e *#'%*%# e'%$e e) '&))# e) ,e)#/

U' (#$m *#' ) *,) e *$ee >,e e 9,e3e' e;&%$ e%e %&9#3e (),# e =*e$ ) 9$,e" *#' 3# '&))# *#'*<'%$&*#7m'%e'&e'3# ) *$. *#'%'%e e' e) '&))# 3e (,e$ m&3&e'3# ) % 3e &'(&)%$*&+' e' e) '&))# &'%e$&#$/

E% e ) *#'#*&3 9$,e" 3e &'(&)%$*&+' 3e 3#")e '&))#/ S&'em"$.#7 #,e$ 1B0 e.,$ >,e )# .$3&e'%e )%e$)e'# #)# (e*%' ) '&))# 3e (,e$7 &'# %m"&<' ) &'%e$'#/E%# =$: &'?%&) e(#$$e e' =*e$ ) 9$,e" *#' 3# '&))#/P#$ )# %'%#7 = +)# 3# m'e$ 3e #"%e'e$ me3&*&#'e 3e

&'(&)%$*&+' m@ e*% #,e$7 1! 1 U$ &'(&)%$+me%$#m@ .$'3e 2 ,$ '&))# m@ 9e>,e# *#'*#$$e**&#'e %e+$&* 3e) (),# 3&;e$.e'%e/

E' e) G$@(&*# 1 e m,e%$ e) e$$#$ >,e e ; *#me%&e'3# )3&m&',&$ e) $3&# 3e) '&))#/ =*$ *#$$e9#'3e ) 9$e&+' e' e)($e'%e =?me3# =(/ Se 9,e3e '#%$ >,e & e) $3&# e m,.$'3e7 ) 9$#9#$*&+' V& e 9$#&m 17 =*&<'3#e m@$#'")e ) 9$#&m*&+' 6/

8ráfico 1- (rrores debido al ti$o de suelo y radio del anillo.

&ateriales



7


A'&))# 3e me%) 3e JJ *m 3e 3&@me%$# 66 *m 3e )%,$

9$#&m3me'%e C#m"# Re.) 3e me%) 3e ) me'# 60 *m C&'% 3=e&; 2 "&3#'e # ")3e 3e ., 3e 20 )% *3 ,'# P)%# C$#'+me%$#

Figura 3- 9lgunos materiales a utilizar

&etodología

E) m<%#3# >,e e ,%&)&$@ e' e% 9$,e" e$@ e) 3e '&))#&m9)e '&;e) ;$&")e/ A,' *,'3# e ,'# 3e )#e9e$&me'%# m@ &m9)e >,e e 9,e3e' $e)&$ 9$ me3&$ % 3e &'(&)%$*&+'7 , 9$e*&&+' '# 3e 3e e$ ",e'/E% 9$,e" e ,%&)&3 m9)&me'%e 3e3e =*e m,*=#%&em9# e' ) &'.e'&e$:7 #"$e %#3# 9$! & C)*,)$ &%em3e $&e.#7 && 3e%e$m&'$ 9#$%e ) ., ,"%e$$@'e7 &&&$e.,)$ &'(&)%$*&#'e e' *')e7 ).,' $%&(&*&)e $ee$;#$&#7 &; me3&$ ) 9e$*#)*&+' e' $e))e'# '&%$&#7 ;9$#"$ ) e(e*%&;&33 3e *9 &m9e$me")e e' #"$ 3e

$e%e'*&+' 3e ):>,&3#7 e'%$e #%$ 9)&**&#'e/@&*me'%e7 9$ e) 3e$$#))# 3e e% e9e$&e'*& = >,ee'%e$$$ e) *&)&'3$# me%@)&*# ,'# 9#*# *e'%:me%$# e' e),e)#/ L,e.#7 = >,e $e))e'$)# 3e ., =% ,' )%,$ '#m#$ 10 *m/ F&')me'%e *#' ) $e.) e) *$#'+me%$#7 eme3&$@ ) ;$&*&+' 3e ) )%,$ 3e) ., e' e) %&em9#/ A)9$&'*&9&#7 e% ;$&*&+' e$@ m#$ ),e.# %e'3e$@ e%"&)&$e/ E) %&em9# 3e e%"&)&*&+' 3e9e'3e$@ 3e) %&9#3e ,e)# e' e) *,) e e%< =*&e'3# ) 9$,e"/



8


E% ?)%&m % e' $<.&me' 9e$m'e'%e e$@79$#&m3me'%e7 ) *#'3,*%&;&33 =&3$@,)&* 3e) ,e)#=?me3# /

8ráfico 2- (:em$lo de una $rueba de infiltración.

GUÍA DE TRABAJO

E) ),.$ 3#'3e e $e)&$@ ) e9e$&e'*& e$@ e' ,'9e>,e @$e ;e$3e7 e'%$e e) E3&(&*&# 3e I'.e'&e$: C&;&) e)3e Ge#)#.:7 >,e *#'% 3e ,' ,e)# )# ,(&*&e'%eme'%e9$#(,'3# *#m# 9$ >,e '# e &'%e$(&e$ e) (),#/

PASO 1

Se ",*$@ ,' ),.$ 9)'# *$*%e$:%&*# 3e) @$e e' e%,3&#9$ &'%)$ e) &'(&)%$+me%$#/ A'%e 3e &'%)$)# e 9$#*e3e$@ )&m9&$ e) 9%# # ,e)#7 *'3# =#7 ",$ e &m9,$e>,e 9,e3' &'%e$;e'&$ e) (),# '#$m) 3e) .,/

PASO 2

Se e'%e$$$@ e) &'(&)%$+me%$# 9$#&m3me'%e 10 *m 3e )(#$m m@ ;e$%&*) 9#&")e/ P$ e%# e 3e"e 9#&*&#'$ e)'&))# e' e) ),.$ e)e**&#'3#7 m$%&))@'3#)# (&$meme'%e e')# "#$3e *#' e) *#m"#/ P$ >,e '# e ,e)%e' )# "#$3e#9,e%# )# >,e e%@' &e'3# .#)9e3#7 e $e*#m&e'39#$ ,' 9&e e' <%# F&.,$ 4/L# '%e$&#$ e 3e"e =*e$ 9,)%&'me'%e e' %#3# )#"#$3e7 : e) *&)&'3$# e'%$$@ 3e m'e$ ,'&(#$me/ P$ me3&$ *,'%# e = e'%e$$3# e 3e"e ,$ ) $e.)/ C#m# e) '&))#m&3e 66 *m 3e )%,$7 & ) ,9e$(&*&e >,e >,e3 (,e$ m&3e



9


9$#&m3me'%e 26 *m e' %#3# )3#7 e) '&))# = e'%$3#)# ,(&*&e'%e/

Figura 4- &odo de instalación.

PASO 3

P#'e$ ) $e.) ;e$%&*)me'%e e' e) &'%e$&#$ 3e) '&))# 9$ :9#3e$ me3&$ e) '&;e) 3e) ., ;e$ F&.,$ 6/ E'%e$$$) ,'#*,'%# *m 9$ >,e >,e3e (&$me e ?%&) %e'e$ e% me3&39$ "e$ >,e )%,$ >,e3 e) ., *#' $e9e*%# ) ,e)#/U' ),.$ $e*#me'3")e 9$ ,"&*$ ) $e.) e e' ) ):'e 3e) #)33,$7 >,e <% e 9$#&m3me'%e ;e$%&*)/ C#' )

*&'% 3=e&; e 9,e3e (&$ ) 9$%e 3e $$&" 3e ) $e.)79$ >,e '# m,e;

PASO 4V*&$ )# "&3#'e # ")3e ,;eme'%e ) &'%e$&#$ 3e) '&))#7=% >,e e) '&;e) 3e) ., >,e3e e'%$e W 10 *m/ P#'e$ e)9)%# e' e) ,e)# ) &'%e$&#$ 3e) &'(&)%$+me%$#7 ,%&)&@'3#)# 9$>,e e) *=#$$# '# .#)9ee 3&$e*%me'%e e) ,e)#7 >,e e9,e3e' )%e$$ ) 9$#9&e33e 3e <%e/

Figura 5: Rellenando el inl!r"#e!ro $on agua%



0


PASO 5

De &'me3&%# em9e$ $e.&%$$ e) %&em9# e) '&;e) 3e) .,/ A) 9$&'*&9&#7 e 3e"e' =*e$ me3&*&#'e %#3# )# m&',%#7 ),e.#7 3e9e'3&e'3# 3e ) % 3e 3e*e'#7 e) &'%e$;)# 3e%&em9# e 9,e3e )$.$/ P$ >,e ) me3&*&#'e e' m@9$e*& )# me#$ e >,e e'%$e '&;e)e ,*e&;# = )me'# 2 mm 3e 3&(e$e'*&/

Se $e)&$@' me3&*&#'e )# me'# 9#$ 20 m&',%#/ L,e.#e 9$$@ 3e me3&$7 *,'3# ) ?)%&m %$e % ,*e&;e' &.,)e # 9$e*&3/ U' 9$#me3&# 3e <%7 e$@ ) %V&7 ?%&) 9$ *)*,)$ / L % e *)*,)$@' *#' )&.,&e'%e (+$m,)!

R= N

1− N

2

∆T

D#'3e N1 N2 #' 3# '&;e)e ,*e&;# e9$3# 9#$ ,'

%&em9# X%/



1


&todo de $orcet $ara la velocidad de infiltración delsuelo

E% e e'*,e'%$ $e)*&#'3 *#' ) &'%e'&33 3e 9$e*&9&%*&+' 3e9e'3e 3e ) *$*%e$:%&* (:&* 3e) ,e)#7 %)e *#m# )%e%,$7 e%$,*%,$7 *#m9*%*&+' e%*/7 3e) *#'%e'&3# 3e=,me337 9,e ) ,me'%$ <%e ) *'%&33 3e ., &'(&)%$33&m&',e/

P$ ) e%&m*&+' 3e ) % 3e &'(&)%$*&+' e' %e$$e'# e 9,e3e,%&)&$ e) m<%#3# 3e P#$*=e%7 e) *,) *#'&%e e' e*;$ ,'



2


*&)&'3$# 3e $3&# R e ))e'$)# *#' ., =% ,' )%,$ = ;e$ F&.,$ 1/ L ,9e$(&*&e %$;< 3e ) *,) e &'(&)%$ ., e!S=πR(2h+ R)

P$ ,' %&em9#7 3%7 ,(&*&e'%eme'%e 9e>,e# 9$ >,e 9,e3,9#'e$e >,e ) *9*&33 3e &'(&)%$*&+'7 (7 e *#'%'%e e;e$&(&*$@ ) &.,)33!

πR (2h+ R ) f =−π R2 dh

dl

S&m9)&(&*'3# e9$'3# ;$&")e!

fdt =− R dh

2h+ R

I'%e.$'3# ) e*,*&+' '%e$&#$ e %&e'e (&')me'%e!

f = R

2(t 2−t

1)ln(2h1

+ R

2h2+ R )

A: 9,e7 9$ 3e%e$m&'$ (7 "% *#' me3&$ 9$e 3e ;)#$e=17%1 =27%27 3e (#$m >,e %2 %1 '# 3&(&e$' 3em&3#

),e.# e;),$)# e' ) e9$e&+' '%e$&#$/

Nivel del

2R

Nivel del

2R



3


D(79**/''/ &(/D/ D( P/*#+(

Re)&$ ,' .,e$# 3e (#$m *&$*,)$ *#' $3&# 3e 60 *m7 9$#(,'3&33 3e 60 40 *m/

I'me3&%me'%e 3e9,< *#)#*$ e) 9)@%&*# ')#' ))e'e 3e., =% ,' )%,$ 3e 2J - 6J *m/7 >,&%e *,&33#me'%ee) ')#' m$>,e &'me3&%me'%e e) '&;e) 3e) ., e' e)*&)&'3$#7 >,e = 3e e$;&$ 3e $e(e$e'*& ) )e*%,$9#%e$&#$e/

A'#%e e' ) (#$m 3e $e.&%$# ) =#$ e' >,e m$*# e) '&;e)&'&*&) 3e) .,/

P$ #"%e'e$ ,' &'(#$m*&+' *#m9)e% =. me3&*&#'e 3e) )%,$ 3e ., e' e) .,e$# )# J7 107 2076074J7B0707120 m&',%# ),e.# *3 =#$7 =% *#m9)e%$ ,' %&em9#3e 6 4 =#$7 # e' %#3# *#7 =% ))e.$ )9e$me"&)&33 e%"&)&37 >,e e )*'$: e'%e e',e)# $e'## >,e e' )# $*&))##/

&todo de los cilindros infiltrómetros

E%e m<%#3# e ,%&)& 9$ 3e%e$m&'$ ) ;e)#*&33 3e&'(&)%$*&+' e' ,e)# e' )# >,e e e%")e*e$@' m<%#3# 3e



4


$&e.#7 %)e *#m# *e>,& e' *#'%#$'#7 "#$3e7 %79e$&+' .#%e#/Se.?' G,$#;&*=7 )# m%e$&)e 'e*e$&# 9$ ) ee*,*&+'3e*,3 3e <%e7 #'!

C&)&'3$# me%@)&*# 3e *e$#7 ,' 3&@me%$# '# &'(e$&#$ 60

*m 3e 07J *m 3e .$##$/ M$%&))# 9e3# 9$ )"#$e 3e 9e'e%$*&+' e' e) ,e)# E%'>,e 3e ., 3e 10 1J )&%$#/ A., 3e &.,) *)&33/ Re.) m&)&m<%$&*/ P$#%e*%#$ 3e e$#&+' 9)@%&*#7 m3e$ e' e) (#'3# 3e)

*&)&'3$# C$#'+me%$# # $e)#/

E) 9$%# >,e e , 9$ e%e m<%#3# e m, e'*&))#7 e e)&'(&)%$+me%$#/ E) m@ *#m?' *#'&%e e' ,' *&)&'3$# 3e 1J *m3e )$.# (&#7 9$#&m3me'%e 3e 20 *m e 9#'e e' <) ,'3e%e$m&'3 *'%&33 3e ., e #"e$; e) %&em9# >,e%$3 e' &'(&)%$$e/ A e%e 9$%# e )e %$&",e' ).,'#3e(e*%#! e) ., e &'(&)%$ 9#$ e) *:$*,)# >,e *#'%&%,e e)(#'3#7 9e$# *#m# )$e3e3#$ 3e <) '# e e%@ &'(&)%$'3# .,7) #' 3e) ,e)# )# )3# 3e) 9$%# 9$%&*&9' %m"&<'e' ) &'(&)%$*&+'7 9#$ )# %'%#7 3 me3&3 ,9e$&#$e )$e)&33/ E) e$$#$ 9,'%3# e *#$$&.e *#)#*'3# #%$# %,"# 3em#$ 3&@me%$# 40 *m )$e3e3#$ 3e) 9$&me$#7 *#'%&%,e ,'e9e*&e 3e *#$#' 9$#%e*%#$/ E' <%e %m"&<' e 9#'e .,9$#&m3me'%e ) m&m# '&;e)7 ,'>,e '# e 'e*e&% %'%9$e*&&+' *#m# e' e) 3e) &'%e$&#$ *#' e))# e e;&% >,e e) .,>,e &'%e$e me3&$ e 9,e3 e9'3&$/



5


Figura <- 'a medición es menor %ue la %ue se ubiera obtenido antesy más concordante con la ca$acidad real del suelo

E) $e.&%$# 3e ) me3&*&#'e7 e $e)& e' "e ,' %")*#' 3&%&'% )%,$ 3e ., e' e) *&)&'3$#7 &'%e$;)#9e$&+3&*#7 3e m#3# 3e $e.&%$$ &'%e$;)# )# J7 107 207 6074J7 B07 0//// 3e &.,) (#$m , $e9$ee'%*&+' .$@(&* 9,e3e

9$e*&$e e' ) T") N1 .$@(&*# N 1/

T") N 1/ De%e$m&'*&+' 3e ) ;e)#*&33 3e &'(&)%$*&+' 3e )#,e)#

iem$o=min>

=1>

9ltura=cm>=2>

9ltura=cm>=3>

Diferencial=cm>=4>

!nfiltración=mm?r>

=">@ 1W 0" 1B 270 240

1@ 1J72 07W B2@ 1674 17W 10W3@ 127J 07 J44" 107W 1W[ 17 BW)@ 1B71 17 BA@ 127J 67B 2

Promedio de infiltración BJ mm=



6


G$@(&*# N1/ T 3e &'(&)%$*&+'

P$ ) 3e%e$m&'*&+' 3e ) ;e)#*&33 3e &'(&)%$*&+' J eem9)e+ e) *#e(&*&e'%e I7 "e$!

I Dh×600

t

D+'3e!

I ! Ve)#*&33 3e &'(&)%$*&+' e' mm=$ D= ! D&(e$e'*&) 3e )%,$ 3e ., *mT ! D&(e$e'*&) 3e %&em9# m

A:7 3e ) %") N 17 e 3e9$e'3e >,e!

I = Diferencial .H (columna4 ) X 600

Tiempo(Columna1) = I (Columna 5)

E' $e)*&+' *#' )# 3%# e'*#'%$3# e' *3 ,'# 3e )#e'#7 e#9%# 9#$ e) *$&%e$&# 3e ,%&)&$ e) 9$#me3&# 3e )#%$e ;)#$e 3e me'#$ ;e)#*&33 3e &'(&)%$*&+'7 *#' e) (&' 3e

,m&$ ,' *$&%e$&# *#'e$;3#$ e' e) 3&e# >,e e.,$ ,' '#



7


*#)9# 3e ) #"$/ L,e.#7 e) ;)#$ 3e &'(&)%$*&+' 9$#me3&#e BJ mm=$/

7urcos infiltrómetros

H #%$# m<%#3# >,e '# ,%&)& 9$%# ).,'#7 &'#&m9)eme'%e *#'&%e e' =*e$ ,' .,e$# 3e 3&me'&#'e*#'#*&3 e' e) ,e)#/ Se ))e' 3e ., =% *&e$% )%,$ e m&3e ) ;$&*&+' 3e e )%,$ %$;< 3e) %&em9#/ C#m#) &'(&)%$*&+' e 9$#3,*e %'%# 9#$ e) (#'3# *#m# 9#$ )9$e3e7 e) *,3) &'(&)%$3# e$@ &.,) ) ,9e$(&*&e 3e)*&)&'3$# 9#$ e) *#e(&*&e'%e 3e &'(&)%$*&+'/ E%e 9$#*e3&m&e'%# em,*=# me'# e*%# >,e e) '%e$&#$7 9,e 9$%&e'3# 3e ,',e)# e*#7 ) &'&*&# ) &'(&)%$*&+' =#$&#'%) e &.,) );e$%&*)7 &' em"$.#7 9$ ,' 9e$:#3# 3e%e$m&'3#7 )

&'(&)%$*&+' ;e$%&*) 3#m&' #"$e ) =#$&#'%) 9e$#7 9#$ '#$e>,e$&$ 9$%# ).,'#7 e 9,e3e &m9$#;&$ e' *,)>,&e$ *#/

Tm"&<' e 9,e3e 3e%e$m&'$ ) *9*&33 3e &'(&)%$*&+'*#'&3e$'3# ,' *,e'* >,e e%< 9e$(e*%me'%e *#'%$#)373e ) >,e e %e'.' 3%# m, 9$e*&# 3e 9$e*&9&%*&+'7e;9#$*&+' e*,$$&m&e'%#/ A:7 *#'#*&e'3# e%# %<$m&'#7e 9,e3e 3e%e$m&'$ ) &'(&)%$*&+'/ E%e m<%#3# e e) &3e)7,'>,e e e) m@ 3&(:*&) 3e #9e$$7 9#$ e))# +)# e 9)&*")e

e' *,e'* 3e e'#7 9$ *#'($#'%$ *#' 3%# me3&3# 9#$ #%$# 9$#*e3&m&e'%#.

!6.".". (cuación general de infiltración

L e*,*&+' .e'e$) *#'&3e$ (),# 3e ., e' me3&# '#%,$3#/ E%e %&9# 3e (),# 9,e3e 3e*$&"&$e *#' ) e*,*&+'

3e D$*7 #$&.&')me'%e 3e$$#))3 9$ ,e)# %,$3#!q= Kgradh [ 2

T −1 ]

D+'3e!

> ;e)#*&33 3e D* [ 2T −1 ]

*#'3,*%&;&33 =&3$@,)&* 3e) ,e)# [ 1T −1 ]



8


=*$. 9&e#me%$&* [ ]

E' ,e)# '# %,$3# ;$: *#' ) =,me33 3e) ,e)#7%e'&e'3# *#m# ):m&%e ) *#'3,*%&;&33 =&3$@,)&* %,$3%/ =7 9#$ , 9$%e7 %&e'e 3# *#m9#'e'%e 9$&'*&9)e

e' ,' ,e)# '# %,$3#7 e' (,'*&+' 3e ) e'e$.:&';#),*$3!

h=∅+ ! [ ]

D+'3e!

φ9#%e'*&) *9&)$7 )%,$ 3e ., e>,&;)e'%e >,e ee$*e )

m&m %e'&+' 3e ,**&+' *9&)$ [ ]

Z9#%e'*&) .$;&%*&#') 9$#(,'3&33 [ ]

L *$. 9&e#m<%$&* 3e ., Q= e m&3e e' 3&me'&#'e 3e)%,$ 9e$# %m"&<' 9,e3e e'%e'3e$e *#m# ) e'e$.: 9#$ ,'&33 3e) 9e# 3e) (),&3#/

!6.".). (cuaciones $ara el cálculo de la infiltración $untual

E&%e' 3&;e$ e*,*&#'e 9$ e%&m$ ) &'(&)%$*&+'/ E'%$ee)) %e'em# ) 3e G$ee' Am9%7 H#$%#' P=&)&9/ A*#'%&',*&+' e 9$ee'%' ).,' 3e e))/ T#3 )e*,*&#'e 9$ee'%3 3e9$e*&' ) *$. 3e ,' e;e'%,))@m&' 3e ., #"$e e) ,e)#/

(cuación de +orton

U' 3e ) 9$&me$ e*,*&#'e 3e &'(&)%$*&+' (,e3e$$#))3 9#$ H#$%#' e' 167 >,&e' 9$%&$ 3ee9e$&me'%# 3e *m9#7 e%")e*&+7 9$ e) *# 3e ,' ,e)##me%&3# ,' 9$e*&9&%*&+' *#' &'%e'&33 &em9$e ,9e$&#$ ) *9*&33 3e &'(&)%$*&+'7 ,' $e)*&+' em9:$&* 9$

$e9$ee'%$ e) 3e*)&;e 3e ) &'(&)%$*&+' *#' e) %&em9# 9,e3e e$ 9$ee'%3 3e ) &.,&e'%e (#$m!



9


I t = I "+( I i− I ")e− KT

D+'3e!

% %&em9# 93# 3e3e ) %,$*&+' ,9e$(&*&) 3e),e)#

*#'%'%e 3e 3e*&m&e'%# \T-1]

I% % 3e &'(&)%$*&+' e' e) %&em9# %

I& % 3e &'(&)%$*&+' &'&*&) % 0

I" % m:'&m 3e &'(&)%$*&+' &'%+%&*/

L % m:'&m 3e &'(&)%$*&+' I" %e+$&*me'%e e$: &.,) )*#'3,*%&;&33 =&3$@,)&* %,$3 %7 & '# =,"&ee e) e(e*%#3e) &$e *#m9$&m&3# e' e) &'%e$&#$ 3e) ,e)#7 3&(&*,)%'3# )&'(&)%$*&+'/ P#$ e# I" e '#$m)me'%e me'#$ >,e %/ E),%e 3e ) e*,*&+' 3e H#$%#' 3%# me3&3# e' *m9#9e$m&%e ) 3e%e$m&'*&+' 3e )# 9$@me%$# I& 7 I" / E)9$@me%$# I" e (@*&)me'%e &3e'%&(&*")e e' )# e9e$&me'%#7

9#$>,e $e9$ee'% ) *#'3,*%&;&33 =&3$@,)&* %,$39$e'%e 3e) ,e)# 9$e'%e 9#$>,e &'*),e ) $e&%e'*&9$#9#$*&#'3 9#$ e) &$e *#m9$&m&3# e' )# 9#$# 3e) ,e)#'%,$)/ E) 9$@me%$# I& %m"&<' e #"%e'&3# &'me3&%me'%e3e )# e9e$&me'%# 9#$>,e e ,' % 3e &'(&)%$*&+' &'&*&)7e%# e ,' % 3e &'(&)%$*&+' e' e) m#me'%# e' >,e e)*'3 ) %,$*&+' ,9e$(&*&) *#m&e' ="e$ e*,$$&m&e'%# e*e# ,9e$(&*&)7 )# >,e e>,&;)e 3e*&$ >,eI& e &.,) ) &'%e'&33 3e ) 9$e*&9&%*&+' >,e %,$+ )

,9e$(&*&e 3e) ,e)#/ E%")e*&3# I" e I& $e% 9e'3e%e$m&'$ e) 9$@me%$# 7 )# >,e e =e*=# %$;< 3e) ,%e3e ) e*,*&+' '%e$&#$ )# 9,'%# I % me3&3# e' *m9#/

I'%e.$'3# ) e*,*&+' '%e$&#$ *#' $e9e*%# ) %&em9#7 e#"%&e'e ) e*,*&+' 3e)# ;#)?me'e &'(&)%$3# *,m,)3#e' e) %&em9#!

# f =

I i− I " K (1−e

−$t

)+ I " t



0


D#'3e V( ;#),me' &'(&)%$3# *,m,)3# =% e) %&em9# %7*#'%3# 9$%&$ 3e) m#me'%# e' ) ,9e$(&*&e 3e) ,e)# e%,$+/

b> (cuación de Pili$

P=&)&9 e' 1J 9)'%e+ ) % 3e &'(&)%$*&+' me3&'%e )&.,&e'%e e9$e&+'!

I =Ct −1/2+ %+ Dt 1/2+&

D#'3e % e e) %&em9# 93# 3e3e e) &'&*&# 3e ) &'(&)%$*&+' C7 A7 D E #' *#e(&*&e'%e >,e 3e9e'3e' 3e) me3&# 9#$##/

L e$&e 3 )% % 3e &'(&)%$*&+' &'&*&)e7 9e$# #($e*e$e,)%3# %#%)me'%e &'*#=e$e'%e 9$ %&em9# m#$e79#$>,e 9$e3&*e )% % 3e &'(&)%$*&+' 9$ ,' )$.# %&em9#7*,'3# ) e9e$&e'*& &'3&* ,' 3e*&m&e'%#/ E&'*#=e$e'*& #*,$$e 3e) 9$#9&# m<%#3# 3e #),*&+' ,%&)&3#7 e)m<%#3# 3e ) 9e$%,$"*&#'e7 3#'3e ) .$;e33 (,e*#'&3e$3 *#m# ,' 9e>,e 9e$%,$"*&+' e' $e)*&+' )

*9&)$&337 )# >,e '# e ;e$33 *,'3# e) ,e)# e e'*m&'9$ ) %,$*&+'/

E) 9$#*e3&m&e'%# ,%&)&3# 9$ 9e$(&)$ e%e 9$#")em e )&'%e$$,9*&+' 3e ) e$&e m'%e'&<'3#) =% e) %<$m&'# A7&'*),&;e/ E%e %<$m&'#7 e'%#'*e7 9 e$ &'%e$9$e%3#*#m# ) % $e&3,) 3e &'(&)%$*&+' e>,&;)e'%e ) I" 3eH#$%#'/

E) ;#),me' &'(&)%$3# *,m,)3# 3e3,*&3# 3e ) e$&e

&'%e$$,m9&3 e e) &.,&e'%e!

# f =S t 1 /2+ %t

D#'3e S 2C e 3e(&'&3 *#m# ) "#$*&+' 3e) ,e)#/

I'%$#3,*&e'3# ) "#$*&+' e' ) e*,*&+' 3e ) % 3e&'(&)%$*&+'7 e #"%&e'e!

I =1

2 S t

−1/2+ %



1


E) ,%e 3e e e*,*&+' 3%# me3&3# e' e) *m9# e'@)#.# )# '%e$&#$e7 &e'3# A e>,&;)e'%e ) I" H#$%#'/L# 9$@me%$# A S #' )# 9$@me%$# 3e ,%e e' e%e

*#/

P#$ #%$# )3#7 e&%e' e' ) )&%e$%,$ ;$& e*,*&#'eem9:$&* >,e 3e$&;' # e eme' ) #),*&+' 3e P=&)&9/U' eem9)# e ) (+$m,) 3e #%#;7 3e 1627 >,e %&e'e )&.,&e'%e e9$e&+'!

# f =a t "

D#'3e " #' 9$@me%$# em9:$&*#/

!6.). *elación +umedad,ensión- #urvas #aracterísticas

P$ *$*%e$&$ )# 9$@me%$# =&3$@,)&*# "@&*# >,e $&.e' e)(),# 3e ., e' ) #' '# %,$37 3e ,%&)&' ) 3e'#m&'3*,$; 3e $e%e'*&+' # *,$; 3e ,**&+'-=,me337 ) *,$; 3e*#'3,*%&;&33-,**&+'/

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MCCÎII/

MCCÎV/

MCC^V/

MCC^VI/

MCC^VII/

MCC^VIII/

I = % t ' I =3.061∗T 0.4858



6


MCCÎ^/




MCC^^/



8


MCC^Î/

0.00 5.00 10.00 15.00 20.00 25.00 30.00

0.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

160.00

180.00

200.00

,o#+ara$ion en!re la *elo$idad O-!enida $on lo' da!o' de $a#+o . la *elo$idad $al$ulada $on el #odelo de (o'!ia)o*

,elo-id!d de Inlt r!-ion ro/edio &-/or!( $ ,e lo-id!d de Inl tr!-ion C!l-#l!d! $



9


MCC^ÎI/

MCC^ÎII/

MCC^ÎV/



0


MCC^^V/

0.00 5.00 10.00 15.00 20.00 25.00 30.00

0.00

2.00

4.00

6.00

8.00

10.00

12.00

14.00

16.00

18.00

20.00

,o#+ara$ion en!re la la#ina a$u#ulada $on lo' da!o' de $a#+o . la/a#ina a$u#ulada $al$ulada $on el #odelo de (o'!ia)o*

Inltr!-ion A-#/#l!d! &-/( 0 L!/in! A-#/#l!d! C!l-#l!d! $

CC^^VI/

CC^^VII/




CC^^VIII/




CC^Î^/



3


&##JJJ. #9'#0'/ D( '9 6('/#!D9D D( !F!'*9#!/ &(. +/*/&##JJJ!.

MCC^^ÎI/

MCC^^ÎII/

MCC^^ IV/ L&'e)&'3# ) (+$m,) 3e H#$%#' e %&e'e!

MCC^^^V/

MCC^^^VI/

MCC^^^VII/

MCC^^^VIII/

MCC^^Î^/ C#m9$'3# *#' ,' e*,*&+' )&'e) %e'em#!MCC^L/

MCC^LI/

MCC^LII/

MCC^LIII/

MCC^LIV/

MCC^LV/ 8,e3'3# *#m# ,' e*,*&+'!

MCC^LVI/

MCC^LVII/ De )# 3%# 3e) 9## 3e %&e$$ #"%e'em#!

MCC^LVIII/ I'%e$;)# 3e

Me3&*&

+'e.

MCC^LI^/ I'%e$;)# 3e

Me3&*&

+'m&'

MCCL/ T&em9# A*,m,)

3#m&'

MCCLI/ Le*%,$

P$*&)

e*m

MCCLII/ I'(&)%$*&+'

P$*&) *m

MCCLIII/ I'(&)%$*&+'

A*,m,)

3*m

MCCLIV/ Ve)#*&33 3e

I'(&)%$*&+'

P$#me3&#*m=#$

MCCLV/ 0MCCLVI/ 0MCCLVII/ 0MCCLVIII/ 24/00MCCLI^/ 0MCCL^/ 0MCCLÎ/ -

MCCLÎI/ 60MCCLÎII/ 0/JMCCLÎV/ 0/J0MCCL^V/ 26/00MCCL^VI/ 1/00MCCL^VII/ 1/00MCCL^VIII/ 120/0MCCLÎ^/ 60MCCL^^/ 0/JMCCL^Î/ 1/00MCCL^ÎI/ 22/J0MCCL^ÎII/ 0/J0MCCL^ÎV/ 1/J0MCCL^^V/ 0/0

MCCL^^VI/ 60MCCL^^VII/ 0/JMCCL^^VIII/ 1/J0MCCL^Î^/ 22/60MCCL^^^/ 0/20MCCL^^Î/ 1/0MCCL^^ÎI/ BW/0MCCL^^ÎII/ 60MCCL^^ÎV/ 0/JMCCL^^^V/ 2/00MCCL^^^VI/ 22/00MCCL^^^VII/ 0/60MCCL^^^VIII/ 2/00MCCL^^Î^/ B0/0

MCC^C/ 60MCC^CI/ 0/JMCC^CII/ 2/J0MCC^CIII/ 21/0MCC^CIV/ 0/60MCC^CV/ 2/60MCC^CVI/ JJ/2

MCC^CVII/ 60MCC^CVIII/ 0/JMCC^CI^/ 6/00MCCC/ 21/J0MCCCI/ 0/20MCCCII/ 2/J0MCCCIII/ J0/0MCCCIV/ 60MCCCV/ 0/JMCCCVI/ 6/J0MCCCVII/ 21/20MCCCVIII/ 0/60MCCCI^/ 2/W0MCCC^/ 4W/0

= + − ∗e−$t

ln( f − f )=ln f −f −$ne∗t

ln( f − f c )=ln f 0−f c −$ ∗t

( =ln (f − f c)

%=ln ( f 0−f c)

'=−$

X =t

( = %+'∗ X



4


MCCCÎ/ B0MCCCÎI/ 1MCCCÎII/ 4/J0MCCCÎV/ 21/00MCCC^V/ 0/20MCCC^VI/ 6/00MCCC^VII/ 40/0MCCC^VIII/ B0MCCCÎ^/ 1MCCC^^/ J/J0MCCC^Î/ 20/J0MCCC^ÎI/ 0/J0MCCC^ÎII/ 6/J0MCCC^ÎV/ 6W/2MCCC^^V/ B0MCCC^^VI/ 1MCCC^^VII/ B/J0MCCC^^VIII/ 20/20MCCC^Î^/ 0/60MCCC^^^/ 6/W0MCCC^^Î/ 6J/1

MCCC^^ÎI/ B0MCCC^^ÎII/ 1MCCC^^ÎV/ /J0MCCC^^^V/ 20/10MCCC^^^VI/ 0/10MCCC^^^VII/ 6/0MCCC^^^VIII/ 61/2MCCC^^Î^/ B0MCCC^L/ 1MCCC^LI/ W/J0MCCC^LII/ 20/00MCCC^LIII/ 0/10MCCC^LIV/ 4/00MCCC^LV/ 2W/2

MCCC^LVI/ B0MCCC^LVII/ 1MCCC^LVIII/ /J0MCCC^LI^/ 1/0MCCCL/ 0/60MCCCLI/ 4/60MCCCLII/ 2/2MCCCLIII/ B0MCCCLIV/ 1MCCCLV/ 10/J0MCCCLVI/ 1/40MCCCLVII/ 0/60MCCCLVIII/ 4/B0MCCCLI^/ 2B/6MCCCL^/ B0MCCCLÎ/ 1MCCCLÎI/ 11/J0MCCCLÎII/ 1/10MCCCLÎV/ 0/60MCCCL^V/ 4/0MCCCL^VI/ 2J/B

MCCCL^VII/ B0MCCCL^VIII/ 1MCCCLÎ^/ 12/J0MCCCL^^/ 1W/0MCCCL^Î/ 0/20MCCCL^ÎI/ J/10MCCCL^ÎII/ 24/JMCCCL^ÎV/ B0MCCCL^^V/ 1MCCCL^^VI/ 16/J0MCCCL^^VII/ 1W/B0MCCCL^^VIII/ 0/60MCCCL^Î^/ J/40MCCCL^^^/ 24/0MCCCL^^Î/ B0MCCCL^^ÎI/ 1MCCCL^^ÎII/ 14/J0MCCCL^^ÎV/ 1W/J0MCCCL^^^V/ 0/10MCCCL^^^VI/ J/J0MCCCL^^^VII/ 22/W

CCCL^^^VIII/ B0MCCCL^^Î^/ 1MCCC^C/ 1J/J0MCCC^CI/ 1W/60MCCC^CII/ 0/20MCCC^CIII/ J/0MCCC^CIV/ 22/1MCCC^CV/ B0MCCC^CVI/ 1MCCC^CVII/ 1B/J0MCCC^CVIII/ 1W/10MCCC^CI^/ 0/20MCD/ J/0MCDI/ 21/J

MCDII/ B0MCDIII/ 1MCDIV/ 1/J0MCDV/ 1W/00MCDVI/ 0/10MCDVII/ B/00MCDVIII/ 20/BMCDI^/ B0MCD^/ 1MCDÎ/ 1W/J0MCDÎI/ 1/0MCDÎII/ 0/10MCDÎV/ B/10MCD^V/ 1/W

MCD^VI/ B0MCD^VII/ 1MCD^VIII/ 1/J0MCDÎ^/ 1/B0MCD^^/ 0/60MCD^Î/ B/40MCD^ÎI/ 1/MCD^ÎII/ B0MCD^ÎV/ 1MCD^^V/ 20/J0MCD^^VI/ 1/J0MCD^^VII/ 0/10MCD^^VIII/ B/J0MCD^Î^/ 1/0MCD^^^/ B0MCD^^Î/ 1MCD^^ÎI/ 21/J0MCD^^ÎII/ 1/60MCD^^ÎV/ 0/20MCD^^^V/ B/0MCD^^^VI/ 1W/

MCD^^^VII/ B0MCD^^^VIII/ 1MCD^^Î^/ 22/J0MCD^L/ 1/10MCD^LI/ 0/20MCD^LII/ B/0MCD^LIII/ 1W/4MCD^LIV/ 600MCD^LV/ JMCD^LVI/ 2/J0MCD^LVII/ 1B/J0MCD^LVIII/ 0/B0MCD^LI^/ /J0MCDL/ 1B/4

MCDLI/ 600MCDLII/ JMCDLIII/ 62/J0MCDLIV/ 1J/W0MCDLV/ 0/0MCDLVI/ W/20MCDLVII/ 1J/1MCDLVIII/ 600MCDLI^/ JMCDL^/ 6/J0MCDLÎ/ 1J/60MCDLÎI/ 0/J0MCDLÎII/ W/0MCDLÎV/ 16/MCDL^V/ 600MCDL^VI/ JMCDL^VII/ 42/J0MCDL^VIII/ 14/0MCDLÎ^/ 0/40MCDL^^/ /10MCDL^Î/ 12/W

MCDL^ÎI/ 600MCDL^ÎII/ JMCDL^ÎV/ 4/J0MCDL^^V/ 14/60MCDL^^VI/ 0/B0MCDL^^VII/ /0MCDL^^VIII/ 12/6MCDL^Î^/ 600MCDL^^^/ JMCDL^^Î/ J2/J0MCDL^^ÎI/ 16/0MCDL^^ÎII/ 0/40MCDL^^ÎV/ 10/10

MCDL^^^V/ 11/JMCDL^^^VI/ 600MCDL^^^VII/ JMCDL^^^VIII/ J/J0MCDL^^Î^/ 16/40MCD^C/ 0/J0MCD^CI/ 10/B0MCD^CII/ 11/1MCD^CIII/ 600MCD^CIV/ JMCD^CV/ B2/J0MCD^CVI/ 16/00MCD^CVII/ 0/40MCD^CVIII/ 11/00MCD^CI^/ 10/B

MD/ 600 MDI/ JMDII/ B/J0MDIII/ 12/B0MDIV/ 0/40MDV/ 11/40MDVI/ 10/1MDVII/ 600MDVIII/ JMDI^/ 2/J0MD^/ 12/10MDÎ/ 0/J0MDÎI/ 11/0MDÎII/ /W

MDÎV/ 600MD^V/ JMD^VI/ /J0MD^VII/ 11/0MD^VIII/ 0/40MDÎ^/ 12/60MD^^/ /JMD^Î/ B00MD^ÎI/ 10MD^ÎII/ W/J0MD^ÎV/ 11/00MD^^V/ 0/0MD^^VI/ 16/00MD^^VII/ W/

MD^^VIII/ B00MD^Î^/ 10MD^^^/ /J0MD^^Î/ 10/40MD^^ÎI/ 0/B0MD^^ÎII/ 16/B0MD^^ÎV/ W/4MD^^^V/ B00MD^^^VI/ 10MD^^^VII/ 10/J0MD^^^VIII/ /J0MD^^Î^/ 0/0MD^L/ 14/J0MD^LI/ W/1

MD^LII/ B00MD^LIII/ 10MD^LIV/ 11/J0MD^LV/ W/W0MD^LVI/ 0/0MD^LVII/ 1J/20MD^LVIII/ /W

MD^LI^/ B00MDL/ 10MDLI/ 12/J0MDLII/ W/40MDLIII/ 0/40MDLIV/ 1J/B0MDLV/ /6MDLVI/ B00MDLVII/ 10MDLVIII/ 16/J0MDLI^/ /J0MDL^/ 0/0MDLÎ/ 1B/J0MDLÎI/ /2MDLÎII/ B00MDLÎV/ 10MDL^V/ 14/J0MDL^VI/ B/W0MDL^VII/ 0/0MDL^VIII/ 1/20MDLÎ^/ /0MDL^^/ B00MDL^Î/ 10MDL^ÎI/ 1J/J0MDL^ÎII/ B/60MDL^ÎV/ 0/J0MDL^^V/ 1/0MDL^^VI/ B/

MDL^^VII/ B00MDL^^VIII/ 10MDL^Î^/ 1B/J0MDL^^^/ J/W0MDL^^Î/ 0/J0MDL^^ÎI/ 1W/20MDL^^ÎII/ B/JMDL^^ÎV/ B00MDL^^^V/ 10MDL^^^VI/ 1/J0MDL^^^VII/ 4/60MDL^^^VIII/ 1/J0MDL^^Î^/ 1/0MD^C/ B/

MD^CI/ B00MD^CII/ 10MD^CIII/ 1W/J0MD^CIV/ 6/0MD^CV/ 0/B0MD^CVI/ 20/60MD^CVII/ B/JMD^CVIII/ B00MD^CI^/ 10MDC/ 1/J0MDCI/ 6/00MDCII/ 0/0MDCIII/ 21/00MDCIV/ B/4

MDCV/ B00MDCVI/ 10MDCVII/ 20/J0MDCVIII/ 2/B0MDCI^/ 0/40MDC^/ 21/40MDCÎ/ B/2MDCÎI/ B00MDCÎII/ 10MDCÎV/ 21/J0MDC^V/ 2/40MDC^VI/ 0/20MDC^VII/ 21/B0MDC^VIII/ B/0

MDCÎ^/ B00MDC^^/ 10MDC^Î/ 22/J0MDC^ÎI/ 2/10MDC^ÎII/ 0/60MDC^ÎV/ 21/0MDC^^V/ J/WMDC^^VI/ B00MDC^^VII/ 10MDC^^VIII/ 26/J0MDC^Î^/ 1/0MDC^^^/ 0/20MDC^^Î/ 22/10MDC^^ÎI/ J/B



5


MDC^^ÎII/ B00MDC^^ÎV/ 10MDC^^^V/ 24/J0MDC^^^VI/ 1/J0MDC^^^VII/ 0/40MDC^^^VIII/ 22/J0MDC^^Î^/ J/JMDC^L/ B00MDC^LI/ 10MDC^LII/ 2J/J0MDC^LIII/ 1/20MDC^LIV/ 0/60MDC^LV/ 22/W0MDC^LVI/ J/6

MDC^LVII/ B00MDC^LVIII/ 10MDC^LI^/ 2B/J0MDCL/ 0/W0MDCLI/ 0/40MDCLII/ 26/20MDCLIII/ J/2MDCLIV/ B00MDCLV/ 10MDCLVI/ 2/J0MDCLVII/ 0/J0MDCLVIII/ 0/60MDCLI^/ 26/J0MDCL^/ J/1MDCLÎ/ B00MDCLÎI/ 10MDCLÎII/ 2W/J0MDCLÎV/ 0/60MDCL^V/ 0/20MDCL^VI/ 26/0MDCL^VII/ 4/

MDCL^VIII/ B00MDCLÎ^/ 10MDCL^^/ 2/J0MDCL^Î/ 0/10MDCL^ÎI/ 0/20MDCL^ÎII/ 26/0MDCL^ÎV/ 4/WMDCL^^V/ B00MDCL^^VI/ 10MDCL^^VII/ 60/J0MDCL^^VIII/ 0/00MDCL^Î^/ 0/10MDCL^^^/ 24/00MDCL^^Î/ 4/

MDCL^^ÎI/ P$ *)*,)$ 9#$ e) m<%#3# 3e M:'&m# C,3$3#!

D#'JJJ!!!. &0(7*

9

&D#'JJJ!6. !(&P/KK

=min>&D#'JJJ6. =f,

fc>&D#'JJJ6!. JLt

&D#'JJJ6!!. L'=f,fc>

&D#'JJJ6!!!. JM&D#'JJJ!J. J2&D#J#. 2

&D#J#!!. 9#0&0'9D/

MDC^CI^/ 1MDCC/ 0/0MDCCI/ 0/0

0MDCCII/ 0/0MDCCIII/ 0/000MDCCIV/ 0/000MDCCV/ 0/0MDCCVI/ 0/000

MDCCVII/ 2MDCCVIII/ 0/JMDCCI^/ 11

J/62

MDCC^/ 0/JMDCCÎ/ 4/4WMDCCÎI/ 2/64MDCCÎII/ 0/6

MDCCÎV/ 22/J41

MDCC^V/ 6MDCC^VI/ 1/0MDCC^VII/ WJ/

62MDCC^VIII/ 1/0MDCCÎ^/ 4/44B

MDCC^^/ 4/44BMDCC^Î/ 1/0MDCC^ÎI/ 1/

0

MDCC^ÎII/ 4MDCC^ÎV/ 1/JMDCC^^V/ B6/

62MDCC^^VI/ 1/JMDCC^^VII/ 4/14W

MDCC^^VIII/ B/222MDCC^Î^/ 2/6MDCC^^^/ 1/20

MDCC^^Î/ JMDCC^^ÎI/ 2/0MDCC^^ÎII/ JJ/

62

MDCC^^ÎV/ 2/0MDCC^^^V/ 4/016

MDCC^^^VI/ W/02BMDCC^^^VII/ 4/0

MDCC^^^VIII/ 1B/10

JDCC^^Î^/ BMDCC^L/ 2/J

MDCC^LI/ J0/J2

MDCC^LII/ 2/JMDCC^LIII/ 6/22MDCC^LIV/ /W0BMDCC^LV/ B/6

MDCC^LVI/ 1J/6WJ

MDCC^LVII/ MDCC^LVIII/ 6/0MDCC^LI^/ 4J/

62MDCCL/ 6/0MDCCLI/ 6/W14

MDCCLII/ 11/441MDCCLIII/ /0MDCCLIV/ 14/J4

4

MDCCLV/ WMDCCLVI/ 6/JMDCCLVII/ 46/

62MDCCLVIII/ 6/JMDCCLI^/ 6/B

MDCCL^/ 16/10MDCCLÎ/ 12/6

MDCCLÎI/ 14/202

MDCCLÎII/ MDCCLÎV/ 4/JMDCCL^V/ 6J/

62MDCCL^VI/ 4/JMDCCL^VII/ 6/JB4

MDCCL^VIII/ 1B/040MDCCLÎ^/ 20/6

MDCCL^^/ 12/0J

MDCCL^Î/ 10MDCCL^ÎI/ J/JMDCCL^ÎII/ 66/

J0

MDCCL^ÎV/ J/JMDCCL^^V/ 6/J12MDCCL^^VI/ 1/61

6MDCCL^^VII/ 60/6

MDCCL^^VIII/ 12/66

1DCCL^Î^/ 11MDCCL^^^/ B/J

MDCCL^^Î/ 60/6

MDCCL^^ÎI/ B/JMDCCL^^ÎII/ 6/414MDCCL^^ÎV/ 22/1

6MDCCL^^^V/ 42/6MDCCL^^^VI/ 11/BJ

CCL^^^VII/ 12MDCCL^^^VIII/ /JMDCCL^^Î^/ 2B/

J2MDCC^C/ /JMDCC^CI/ 6/2W

MDCC^CII/ 24/JW6MDCC^CIII/ JB/6

MDCC^CIV/ 10/44

MDCC^CV/ 16MDCC^CVI/ W/JMDCC^CVII/ 26/

JJMDCC^CVIII/ W/JMDCC^CI^/ 6/1J

MDCCC/ 2B/WJ6MDCCCI/ 2/6MDCCCII/ /W1

MDCCCIII/ 14MDCCCIV/ /JMDCCCV/ 22/

4MDCCCVI/ /JMDCCCVII/ 6/112

MDCCCVIII/ 2/JBWMDCCCI^/ 0/6MDCCC^/ /BW

MDCCCÎ/ 1JMDCCCÎI/ 10/JMDCCCÎII/ 21/

B0MDCCCÎV/ 10/JMDCCC^V/ 6/06

MDCCC^VI/ 62/2B

JMDCCC^VII/ 110/6MDCCC^VIII/ /442MDCCCÎ^/ 1BMDCCC^^/ 11/JMDCCC^Î/ 20/MDCCC^ÎI/ 11/JMDCCC^ÎII/ 6/06MDCCC^ÎV/ 64/4MDCCC^^V/ 162/6MDCCC^^VI/ /26J



6


WW

DCCC^^VII/ 1MDCCC^^VIII/ 12/JMDCCC^Î^/ 1/

W0MDCCC^^^/ 12/JMDCCC^^Î/ 2/WB

MDCCC^^ÎI/ 6/61MDCCC^^ÎII/ 1JB/6MDCCC^^ÎV/ W/16

DCCC^^^V/ 1WMDCCC^^^VI/ 16/JMDCCC^^^VII/ 1/

62MDCCC^^^VIII/ 16/JMDCCC^^Î^/ 2/B1

MDCCC^L/ 6/6MDCCC^LI/ 1W2/6MDCCC^LII/ W/B

DCCC^LIII/ 1MDCCC^LIV/ 14/JMDCCC^LV/ 1W/0W

MDCCC^LVI/ 14/JMDCCC^LVII/ 2/WJMDCCC^LVIII/ 41/1MDCCC^LI^/ 210/6MDCCCL/ W/6

MDCCCLI/ 20MDCCCLII/ 1J/JMDCCCLIII/ 1/

6WMDCCCLIV/ 1J/JMDCCCLV/ 2/WJJ

MDCCCLVI/ 44/2JMDCCCLVII/ 240/6MDCCCLVIII/ W/1J6

MDCCCLI^/ 21MDCCCL^/ 1B/JMDCCCLÎ/ 1B/

MDCCCLÎI/ 1B/JMDCCCLÎII/ 2/W20

MDCCCLÎV/ 4B/J2JMDCCCL^V/ 22/6MDCCCL^VI/ /J1

DCCCL^VII/ 22MDCCCL^VIII/ 1/JMDCCCLÎ^/ 1J/

WMDCCCL^^/ 1/JMDCCCL^Î/ 2/BB

MDCCCL^ÎI/ 4W/6WMDCCCL^ÎII/ 60B/6MDCCCL^ÎV/ /B4

DCCCL^^V/ 26MDCCCL^^VI/ 1W/JMDCCCL^^VII/ 1J/

10MDCCCL^^VIII/ 1W/JMDCCCL^Î^/ 2/1J

MDCCCL^^^/ J0/226MDCCCL^^Î/ 642/6MDCCCL^^ÎI/ /60

CCL^^ÎII/ 24MDCCCL^^ÎV/ 1/JMDCCCL^^^V/ 1J/

01MDCCCL^^^VI/ 1/JMDCCCL^^^VII/ 2/0

MDCCCL^^^VIII/ J2/W1MDCCCL^^Î^/ 6W0/6MDCCC^C/ /66

MDCCC^CI/ 2JMDCCC^CII/ 20/JMDCCC^CIII/ 14/

64MDCCC^CIV/ 20/JMDCCC^CV/ 2/BB6

MDCCC^CVI/ J4/JJMDCCC^CVII/ 420/6MDCCC^CVIII/ /02

DCCC^CI^/ 2BMCM/ 21/JMCMI/ 14/

01MCMII/ 21/JMCMIII/ 2/B40

MCMIV/ JB/B2MCMV/ 4B2/6MCMVI/ B/0

MCMVII/ 2MCMVIII/ 22/JMCMI^/ 16/

2MCM^/ 22/JMCMÎ/ 2/B1

MCMÎI/ JW/1MCMÎII/ J0B/6MCMÎV/ B/WJ

MCM^V/ 2WMCM^VI/ 2/JMCM^VII/ 11/

BW

MCM^VIII/ 2/JMCMÎ^/ 2/4JWMCM^^/ B/J

6MCM^Î/ JB/6MCM^ÎI/ B/041MCM^ÎII/ 2MCM^ÎV/ 62/J

MCM^^V/ 10/4B

MCM^^VI/ 62/JMCM^^VII/ 2/64MCM^^VIII/ B/2W

2MCM^Î^/ 10JB/

6MCM^^^/ J/J0

MCM^^Î/ 60MCM^^ÎI/ 6/JMCM^^ÎII/ /2

4MCM^^ÎV/ 6/JMCM^^^V/ 2/226

MCM^^^VI/ W6/61

MCM^^^VII/ 140B/6MCM^^^VIII/ 4/46

MCM^^Î^/ 61MCM^L/ 42/JMCM^LI/ W/1

BMCM^LII/ 42/JMCM^LIII/ 2/100

MCM^LIV/ W/26

MCM^LV/ 1W0B/6MCM^LVI/ 4/40

MCM^LVII/ 62MCM^LVIII/ 4/JMCM^LI^/ /J

MCML/ 4/JMCMLI/ 2/024

MCMLII/ B/14

MCMLIII/ 22JB/6MCMLIV/ 4/0

MCMLV/ 66MCMLVI/ J2/JMCMLVII/ B/W

B

MCMLVIII/ J2/JMCMLI^/ 1/2BMCML^/ 101/0

MCMLÎ/ 2JB/

6MCMLÎI/ 6/0WMCMLÎII/ 64MCMLÎV/ J/J

MCML^V/ B/6W

MCML^VI/ J/JMCML^VII/ 1/WJ6MCML^VIII/ 10B/J

6MCMLÎ^/ 660B/

6MCML^^/ 6/466

MCML^Î/ 6JMCML^ÎI/ B2/JMCML^ÎII/ J/W

WMCML^ÎV/ B2/JMCML^^V/ 1/1

MCML^^VI/ 110/B1

MCML^^VII/ 60B/6MCML^^VIII/ 6/16

MCML^Î^/ 6BMCML^^^/ B/JMCML^^Î/ J/4

JMCML^^ÎI/ B/JMCML^^ÎII/ 1/BB

MCML^^ÎV/ 114/4J

MCML^^^V/ 4JJB/6MCML^^^VI/ 2/WJ

CML^^^VII/ 6MCML^^^VIII/ 2/JMCML^^Î^/ J/1

MCM^C/ 2/JMCM^CI/ 1/B42

MCM^CII/ 11/046

MCM^CIII/ J2JB/6MCM^CIV/ 2/BB

MCM^CV/ 6WMCM^CVI/ /JMCM^CVII/ 4/W

4MCM^CVIII/ /JMCM^CI^/ 1/J

MM/ 122/2

0J

MMI/ B00B/

6MMII/ 2/4WBMMIII/ 6MMIV/ W/JMMV/ 4/2MMVI/ W/JMMVII/ 1/446MMVIII/ 12B/2MMI^/ BJB/MM^/ 2/0W1



7


6 21 6

MMÎ/ 40MMÎI/ /JMMÎII/ 6/B

MMÎV/ /JMM^V/ 1/60J

MM^VI/ 12/201

MM^VII/ J0B/6MM^VIII/ 1/02

MMÎ^/ 41MM^^/ 10/JMM^Î/ 6/4

1MM^ÎI/ 10/JMM^ÎII/ 1/22

MM^ÎV/ 161/WJ

MM^^V/ 11JJB/6MM^^VI/ 1/J0J

MM^^VII/ 42MM^^VIII/ 11/JMM^Î^/ 6/0W

MM^^^/ 11/JMM^^Î/ 1/12JMM^^ÎI/ 162/162

MM^^ÎII/ 16W0B/6MM^^ÎV/ 1/2BJ

MM^^^V/ 46MM^^^VI/ 12/JMM^^^VII/ 2/B

BMM^^^VIII/ 12/JMM^^Î^/ 0/W

MM^L/ 124/BJ6

MM^LI/ 1B2JB/6MM^LII/ 0/JB

MM^LIII/ 44MM^LIV/ 16/JMM^LV/ 2/J

2MM^LVI/ 16/JMM^LVII/ 0/26

MM^LVIII/ 12B/2B

MM^LI^/ 1W0B/6MML/ 0/WJ2

MMLI/ 4JMMLII/ 14/JMMLIII/ 2/6

1MMLIV/ 14/JMMLV/ 0/W6

MMLVI/ 126/2

MMLVII/ 21JB/6MMLVIII/ 0/04

MMLI^/ 4BMML^/ 1J/JMMLÎ/ 2/0

BMMLÎI/ 1J/JMMLÎII/ 0/26

MMLÎV/ 116/W21

MML^V/ 24W0B/6MML^VI/ 0/J22

MML^VII/ 4MML^VIII/ 1B/JMMLÎ^/ 1/W

4MML^^/ 1B/JMML^Î/ 0/B0W

MML^ÎI/ 101/W14

MML^ÎII/ 2W0JB/6MML^ÎV/ 0/6B

MML^^V/ 4WMML^^VI/ 1/JMML^^VII/ 1/

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4MMDCCC^ÎI/ 1W/0

MMDCCC^ÎII/ 2/166

MMDCCC^ÎV/ 6W/401

MMDCCC^^V/ 624/00MMDCCC^^VI/ 4/JJ1

DCCC^^VII/ 2JMMDCCC^^VIII/ 1MMDCCC^Î^/ /2

2MMDCCC^^^/ 1/0

MMDCCC^^Î/ 1/B

MMDCCC^^ÎI/ 6/J4W

MMDCCC^^ÎII/ 6B1/00MMDCCC^^ÎV/ 6/0J

DCCC^^^V/ 2BMMDCCC^^^VI/ 20MMDCCC^^^VII/ B/1

1MMDCCC^^^VIII/ 20/0

MMDCCC^^Î^/ 1/W10

MMDCCC^L/ 6B/1

MMDCCC^LI/ 400/00MMDCCC^LII/ 6/2B

MDCCC^LIII/ 2MMDCCC^LIV/ 21MMDCCC^LV/ J/4

0MMDCCC^LVI/ 21/0

MMDCCC^LVII/ 1/BWB

MMDCCC^LVIII/ 6J/6W

MMDCCC^LI^/ 441/00MMDCCCL/ 2/W41

MMDCCCLI/ 2WMMDCCCLII/ 22MMDCCCLIII/ 4/4

MMDCCCLIV/ 22/0

MMDCCCLV/ 1/4W

MMDCCCLVI/ 62/B0

MMDCCCLVII/ 4W4/00MMDCCCLVIII/ 2/24J

MDCCCLI^/ 2MMDCCCL^/ 26MMDCCCLÎ/ 6/6

MMDCCCLÎI/ 26/0

MMDCCCLÎII/ 1/21J

MMDCCCLÎV/ 2/4

MMDCCCL^V/ J2/00MMDCCCL^VI/ 1/4

DCCCL^VII/ 60MMDCCCL^VIII/ 24MMDCCCLÎ^/ 2/6

BMMDCCCL^^/ 24/0

MMDCCCL^Î/ 0/WJ

MMDCCCL^ÎI/ 20/B0W

MMDCCCL^ÎII/ JB/00MMDCCCL^ÎV/ 0/6

DCCCL^^V/ 61MMDCCCL^^VI/ 2JMMDCCCL^^VII/ 1/4

6

MMDCCCL^^VIII/ 2J/0MMDCCCL^Î^/ 0/6J

W

MMDCCCL^^^/ W/

42

MMDCCCL^^Î/ B2J/

00MMDCCCL^^ÎI/ 0/12W

CCCL^^ÎII/ 62MMDCCCL^^ÎV/ 2BMMDCCCL^^^V/ 0/W

0MMDCCCL^^^VI/ 2B/0

MMDCCCL^^^VII/ -0/22

0

MMDCCCL^^^VIII/ -J/2

MMDCCCL^^Î^/ BB/00MMDCCC^C/ 0/04

MDCCC^CI/ 66MMDCCC^CII/ 2MMDCCC^CIII/ 0/0

0MMDCCC^CIV/ 2/0

MMDCCC^CV/ 0/000

MMDCCC^CVI/ 0/000

MMDCCC^CVII/ 2/00MMDCCC^CVIII/ 0/000

&D###J#!J. NMMCM/

&&#&!.&&#&!!. 3A@."

&&#&!!!. [email protected]"

&&#&!6. E4A.3"3

&&#&6. )AE1.2"

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MMCMVII/

MMCMVIII/

MMCMI^/

MMCM^/

MMCMÎ/ A9)&*'3# m:'&m# *,3$3# e %&e'e!

MMCMÎI/ M:'&m#*,3$3#

&&#&J!!!. #uadro deresumen



1


MMCMÎV/ MMCM^V/ -0/1JWWMMCM^VI/ AMMCM^VII/ 4/J4

MMCM^VIII/ $_2

MMCMÎ^/ 0/B4

MMCM^^/ MMCM^Î/ 0/1JMMCM^ÎI/ e_

AMMCM^ÎII/ 11B/0BB

MMCM^ÎV/ (#MMCM^^V/ 1J4/JJMMCM^^VI/

MMCM^^VII/ C#' e%# %e'em#!

MMCM^^VIII/

MMCM^Î^/

MMCM^^^/ P#$ e) m<%#3# G$(&*# e %&e'e!

MMCM^^Î/

0.0 5.0 10.0 15.0 20.0 25.0 30.0$1

0

1

2

3

4

5

6

R+ ) 0.96%&'( ) $ 0.16' * 4.73

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/n0$

&&#&JJJ!!. #uadro deresumen

&&#&JJJ!!!. MMCM^^ÎV/ -0/1JJ&&#&JJJ6. 9MMCM^^^VI/ 4/2

&&#&JJJ6!!. rO2

MMCM^^^VIII/ 0/B4

MMCM^^Î^/ MMCM^L/ 0/1JJMMCM^LI/ e

_ A

MMCM^LII/ 112/JB

MMCM^LIII/ (#MMCM^LIV/ 1J1/W4J

=38.89+(154.955−38.89 ∗e−0.1582t



2


MMCM^LV/

MMCM^LVI/

MMCM^LVII/ C#' e%# %e'em#!

MMCM^LVIII/

MMCM^LI^/ C#' e% (+$m,) *)*,)$em# )# ;)#$e 3e ( Ve)#*&33 3e &'(&)%$*&+'!

&&#&'. f =cm?

r>#alculado

MMCMLI/ 0

MMCMLII/ 14B/12

MMCMLIII/ 16/6

MMCMLIV/ 160/46W

MMCMLV/ 126/4J

MMCMLVI/ 11/042

MMCMLVII/ 111/0

MMCMLVIII/ 10J/B0

MMCMLI^/ 100/J66

MMCML^/ J/W4J

MMCMLÎ/ 1/J1

6MMCMLÎI/ W6/W16

MMCMLÎII/ /240

MMCMLÎV/ 1/B2

MMCML^V/ BB/W6W

MMCML^VI/ B2/4

MMCML^VII/ J/2J

=38.89+(154.955−38.89 ∗e−0.155t



3


WMMCML^VIII/ JB/2

WMMCMLÎ^/ J6/6

6MMCML^^/ J1/JB

2MMCML^Î/ 4/0

MMCML^ÎI/ 4W/12

JMMCML^ÎII/ 4B/

6MMCML^ÎV/ 4J/B2

0MMCML^^V/ 44/B6

JMMCML^^VI/ 46/

JMMCML^^VII/ 46/0

MMCML^^VIII/ 42/4B

4MMCML^Î^/ 41/4

1MMCML^^^/ 41/4J

MMCML^^Î/ 41/114

MMCML^^ÎI/ 40/WW

MMCML^^ÎII/ 40/J11

MCML^^ÎV/

MCML^^^V/

MCML^^^VI/

CML^^^VII/ L,e.# G$(&*m# )# 3%# #"%e'&3# e' *m9# )# *)*,)3# me3&'%e) (+$m,) 3e H#$%#'!



4


MMCML^^^VIII/

0 5 10 15 20 25 300

20

40

60

80

100

120

140

160

180

A&u'!e 6e!odo 7or!on

% C!/o % C!l-#l!do

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MCML^^Î^/

&&#&J#. #alculamos la 'ámina infiltrada acumulada-

MMCM^CI/ I'%e.$'3# ) e*,*&+' 3e ) ;e)#*&33 3e &'(&)%$*&+' e %&e'e!

MMCM^CII/

MMCM^CIII/

MMCM^CIV/MMCM^CV/

MMCM^CVI/

MMCM^CVII/ C#' e% (+$m,) *)*,)m# ) )@m&' &'(&)%$3 *,m,)3!

&&#&J#6!!!. F=cm>#alc

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5


o

MMCM^CI^/ 0MMM/ 1/2J4

MMMI/ 2/46WMMMII/ 6/JJWMMMIII/ 4/B1MMMIV/ J/B24MMMV/ B/J

MMMVI/ /4WMMMVII/ W/6J2

MMMVIII/ /1BMMMI^/ /B6MMM^/ 11/46

JMMMÎ/ 12/

0MMMÎI/ 14/04

2MMMÎII/ 1J/20

MMMÎV/ 1B/60

0MMM^V/ 1/62

WMMM^VI/ 1W/60

2MMM^VII/ 1/22

WMMM^VIII/ 20/11

JMMMÎ^/ 20/B

WMMM^^/ 21/

1MMM^Î/ 22/JW

MMM^ÎI/ 26/6B

JMMM^ÎII/ 24/12

4MMM^ÎV/ 24/WB

BMMM^^V/ 2J/J

J



6


MMM^^VI/ 2B/612

MMM^^VII/ 2/01

MMM^^VIII/ 2/1W

MMM^Î^/ 2W/410

MMM^^^/ 2/0J

MMM^^Î/ 2/J

MMM^^ÎI/

MMM^^ÎII/ C#m9$'3# e %&e'e!

MMM^^ÎV/

0 5 10 15 20 25 300

5

10

15

2025

30

35

,o#+ara$ion ded la /a#ina nl!rada A$u#ulada

C!/o C!l-#l!do

Tie#+o A$u#ulado

F 0$#

&&&JJJ6.&&&JJJ6!.

&&&JJJ6!!. D((*&!9#!G D( '9 6('/#!D9D D( !F!'*9#!G '&!9!F!'*9D9 9#0&0'9D9 P/* (' &Q/D/ D( P''!P7

&&&JJJ6!!!.&&&JJJ!J. &Q/D/ D( P''!P7 P9*9 (' P/I/

&&&J'.



7


&&&J'!. !nter valode

&edición=seg>

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&&&J'6!. !nfiltración

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&&&J'6!!. 6elocidad de!nfiltración

!nstantánea=cm?o

ra>



8


MMM^LVIII/ 0MMM^LI^/ 0MMML/ 0MMMLI/ 24/0

0MMMLII/ 0MMMLIII/ 0MMMLIV/ -

MMMLV/ 60MMMLVI/ 0/JMMMLVII/ 0/J0MMMLVIII/ 26/0

0MMMLI^/ 1/00MMML^/ 1/00

MMMLÎ/ 120/00

MMMLÎI/ 60MMMLÎII/ 0/JMMMLÎV/ 1/00MMML^V/ 22/J

0MMML^VI/ 0/J0MMML^VII/ 1/J0MMML^VIII/ 0/00

MMMLÎ^/ 60MMML^^/ 0/JMMML^Î/ 1/J0MMML^ÎI/ 22/6

0MMML^ÎII/ 0/20MMML^ÎV/ 1/0

MMML^^V/ BW/00

MMML^^VI/ 60MMML^^VII/ 0/JMMML^^VIII/ 2/00MMML^Î^/ 22/0

0MMML^^^/ 0/60MMML^^Î/ 2/00

MMML^^ÎI/ B0/00

MMML^^ÎII/ 60MMML^^ÎV/ 0/JMMML^^^V/ 2/J0MMML^^^VI/ 21/

0MMML^^^VII/ 0/60MMML^^^VIII/ 2/60

MMML^^Î^/ JJ/20

MMM^C/ 60MMM^CI/ 0/JMMM^CII/ 6/00MMM^CIII/ 21/J

0MMM^CIV/ 0/20MMM^CV/ 2/J0

MMM^CVI/ J0/00

MMM^CVII/ 60MMM^CVIII/ 0/JMMM^CI^/ 6/J0MMMC/ 21/2

0MMMCI/ 0/60MMMCII/ 2/W0MMMCIII/ 4W/00

MMMCIV/ B0MMMCV/ 1MMMCVI/ 4/J0MMMCVII/ 21/0

0MMMCVIII/ 0/20MMMCI^/ 6/00

MMMC^/ 40/00

MMMCÎ/ B0MMMCÎI/ 1MMMCÎII/ J/J0MMMCÎV/ 20/J

0MMMC^V/ 0/J0MMMC^VI/ 6/J0

MMMC^VII/ 6W/1W

MMMC^VIII/ B0MMMCÎ^/ 1MMMC^^/ B/J0MMMC^Î/ 20/2

0MMMC^ÎI/ 0/60MMMC^ÎII/ 6/W0

MMMC^ÎV/ 6J/0W

MMMC^^V/ B0MMMC^^VI/ 1MMMC^^VII/ /J0MMMC^^VIII/ 20/1

0MMMC^Î^/ 0/10MMMC^^^/ 6/0

MMMC^^Î/ 61/20

MMMC^^ÎI/ B0MMMC^^ÎII/ 1MMMC^^ÎV/ W/J0MMMC^^^V/ 20/00MMMC^^^VI/ 0/10MMMC^^^VII/ 4/00MMMC^^^VIII/ 2W/24

MMMC^^Î^/ B0MMMC^L/ 1MMMC^LI/ /J0MMMC^LII/ 1/

0MMMC^LIII/ 0/60MMMC^LIV/ 4/60

MMMC^LV/ 2/1B

MMMC^LVI/ B0MMMC^LVII/ 1MMMC^LVIII/ 10/J0MMMC^LI^/ 1/4

0MMMCL/ 0/60MMMCLI/ 4/B0

MMMCLII/ 2B/2

MMMCLIII/ B0MMMCLIV/ 1MMMCLV/ 11/J0MMMCLVI/ 1/1

0MMMCLVII/ 0/60MMMCLVIII/ 4/0

MMMCLI^/ 2J/J

MMMCL^/ B0MMMCLÎ/ 1MMMCLÎI/ 12/J0MMMCLÎII/ 1W/

0MMMCLÎV/ 0/20MMMCL^V/ J/10

MMMCL^VI/ 24/4W

MMMCL^VII/ B0MMMCL^VIII/ 1MMMCLÎ^/ 16/J0MMMCL^^/ 1W/B0MMMCL^Î/ 0/60MMMCL^ÎI/ J/40MMMCL^ÎII/ 24/00

MMMCL^ÎV/ B0MMMCL^^V/ 1MMMCL^^VI/ 14/J0MMMCL^^VII/ 1W/J

0MMMCL^^VIII/ 0/10MMMCL^Î^/ J/J0

MMMCL^^^/ 22/B

MMMCL^^Î/ B0MMMCL^^ÎI/ 1MMMCL^^ÎII/ 1J/J0MMMCL^^ÎV/ 1W/6

0MMMCL^^^V/ 0/20MMMCL^^^VI/ J/0

MMMCL^^^VII/ 22/0B

MMCL^^^VIII/ B0MMMCL^^Î^/ 1MMMC^C/ 1B/J0MMMC^CI/ 1W/1

0MMMC^CII/ 0/20MMMC^CIII/ J/0

MMMC^CIV/ 21/4J

MMMC^CV/ B0MMMC^CVI/ 1MMMC^CVII/ 1/J0MMMC^CVIII/ 1W/0

0MMMC^CI^/ 0/10MMMCC/ B/00

MMMCCI/ 20/J

MMMCCII/ B0MMMCCIII/ 1MMMCCIV/ 1W/J0MMMCCV/ 1/0

MMMCCVI/ 0/10MMMCCVII/ B/10MMMCCVIII/ 1/W



9


MMMCCI^/ B0MMMCC^/ 1MMMCCÎ/ 1/J0MMMCCÎI/ 1/B

0MMMCCÎII/ 0/60MMMCCÎV/ B/40

MMMCC^V/ 1/B

MMMCC^VI/ B0MMMCC^VII/ 1MMMCC^VIII/ 20/J0MMMCCÎ^/ 1/J

0MMMCC^^/ 0/10MMMCC^Î/ B/J0

MMMCC^ÎI/ 1/02

MMMCC^ÎII/ B0MMMCC^ÎV/ 1MMMCC^^V/ 21/J0MMMCC^^VI/ 1/6

0MMMCC^^VII/ 0/20MMMCC^^VIII/ B/0MMMCC^Î^/ 1W/0

MMMCC^^^/ B0MMMCC^^Î/ 1MMMCC^^ÎI/ 22/J0MMMCC^^ÎII/ 1/1

0MMMCC^^ÎV/ 0/20MMMCC^^^V/ B/0

MMMCC^^^VI/ 1W/40

MMCC^^^VII/ 600MMMCC^^^VIII/ JMMMCC^^Î^/ 2/J0MMMCC^L/ 1B/J

0MMMCC^LI/ 0/B0MMMCC^LII/ /J0

MMMCC^LIII/ 1B/6B

MMMCC^LIV/ 600MMMCC^LV/ JMMMCC^LVI/ 62/J0MMMCC^LVII/ 1J/W

0MMMCC^LVIII/ 0/0MMMCC^LI^/ W/20

MMMCCL/ 1J/14

MMMCCLI/ 600MMMCCLII/ JMMMCCLIII/ 6/J0MMMCCLIV/ 1J/6

0MMMCCLV/ 0/J0MMMCCLVI/ W/0

MMMCCLVII/ 16/2

MMMCCLVIII/ 600MMMCCLI^/ JMMMCCL^/ 42/J0MMMCCLÎ/ 14/

0MMMCCLÎI/ 0/40MMMCCLÎII/ /10MMMCCLÎV/ 12/WJ

MMMCCL^V/ 600MMMCCL^VI/ JMMMCCL^VII/ 4/J0MMMCCL^VIII/ 14/6

0MMMCCLÎ^/ 0/B0MMMCCL^^/ /0

MMMCCL^Î/ 12/2J

MMMCCL^ÎI/ 600MMMCCL^ÎII/ JMMMCCL^ÎV/ J2/J0MMMCCL^^V/ 16/

0MMMCCL^^VI/ 0/40MMMCCL^^VII/ 10/10

MMMCCL^^VIII/ 11/J4

MMCCL^Î^/ 600MMMCCL^^^/ JMMMCCL^^Î/ J/J0MMMCCL^^ÎI/ 16/4

0MMMCCL^^ÎII/ 0/J0MMMCCL^^ÎV/ 10/B0

MMMCCL^^^V/ 11/0B

MCCL^^^VI/ 600MMMCCL^^^VII/ JMMMCCL^^^VIII/ B2/J0MMMCCL^^Î^/ 16/0

0MMMCC^C/ 0/40MMMCC^CI/ 11/00

MMMCC^CII/ 10/JB

MMMCC^CIII/ 600MMMCC^CIV/ JMMMCC^CV/ B/J0MMMCC^CVI/ 12/B0MMMCC^CVII/ 0/40MMMCC^CVIII/ 11/40MMMCC^CI^/ 10/16

MMMCCC/ 600MMMCCCI/ JMMMCCCII/ 2/J0MMMCCCIII/ 12/1

0MMMCCCIV/ 0/J0MMMCCCV/ 11/0

MMMCCCVI/ /WJMMMCCCVII/ 600MMMCCCVIII/ JMMMCCCI^/ /J0MMMCCC^/ 11/0MMMCCCÎ/ 0/40MMMCCCÎI/ 12/60MMMCCCÎII/ /J2

MMMCCCÎV/ B00MMMCCC^V/ 10MMMCCC^VI/ W/J0MMMCCC^VII/ 11/00MMMCCC^VIII/ 0/0MMMCCCÎ^/ 16/00MMMCCC^^/ W/1

MMMCCC^Î/ B00MMMCCC^ÎI/ 10MMMCCC^ÎII/ /J0MMMCCC^ÎV/ 10/4

0MMMCCC^^V/ 0/B0MMMCCC^^VI/ 16/B0

MMMCCC^^VII/ W/6MCCC^^VIII/ B00MMMCCC^Î^/ 10MMMCCC^^^/ 10/J0MMMCCC^^Î/ /J0MMMCCC^^ÎI/ 0/0MMMCCC^^ÎII/ 14/J0MMMCCC^^ÎV/ W/0

MMCCC^^^V/ B00MMMCCC^^^VI/ 10MMMCCC^^^VII/ 11/J0MMMCCC^^^VIII/ W/W0MMMCCC^^Î^/ 0/0MMMCCC^L/ 1J/20MMMCCC^LI/ /B

MMMCCC^LII/ B00MMMCCC^LIII/ 10MMMCCC^LIV/ 12/J0MMMCCC^LV/ W/40MMMCCC^LVI/ 0/40MMMCCC^LVII/ 1J/B0MMMCCC^LVIII/ /64MMCCC^LI^/ B00MMMCCCL/ 10MMMCCCLI/ 16/J0MMMCCCLII/ /J0MMMCCCLIII/ 0/0MMMCCCLIV/ 1B/J0MMMCCCLV/ /20MMMCCCLVI/ B00MMMCCCLVII/ 10MMMCCCLVIII/ 14/J0MMMCCCLI^/ B/W0MMMCCCL^/ 0/0MMMCCCLÎ/ 1/20MMMCCCLÎI/ /00MMCCCLÎII/ B00MMMCCCLÎV/ 10MMMCCCL^V/ 1J/J0MMMCCCL^VI/ B/60MMMCCCL^VII/ 0/J0MMMCCCL^VIII/ 1/0MMMCCCLÎ^/ B/4MMCCCL^^/ B00MMMCCCL^Î/ 10MMMCCCL^ÎI/ 1B/J0MMMCCCL^ÎII/ J/W0MMMCCCL^ÎV/ 0/J0MMMCCCL^^V/ 1W/20MMMCCCL^^VI/ B/J2

MCCCL^^VII/ B00MMMCCCL^^VIII/ 10MMMCCCL^Î^/ 1/J0MMMCCCL^^^/ 4/60MMMCCCL^^Î/ 1/J0MMMCCCL^^ÎI/ 1/0MMMCCCL^^ÎII/ B/BBMCCCL^^ÎV/ B00MMMCCCL^^^V/ 10MMMCCCL^^^VI/ 1W/J0MMMCCCL^^^VII/ 6/0MMMCCCL^^^VIII/ 0/B0MMMCCCL^^Î^/ 20/60MMMCCC^C/ B/J0MMMCCC^CI/ B00MMMCCC^CII/ 10MMMCCC^CIII/ 1/J0MMMCCC^CIV/ 6/00MMMCCC^CV/ 0/0MMMCCC^CVI/ 21/00MMMCCC^CVII/ B/6WMCCC^CVIII/ B00MMMCCC^CI^/ 10MMMCD/ 20/J0MMMCDI/ 2/B0MMMCDII/ 0/40MMMCDIII/ 21/40MMMCDIV/ B/1

MMMCDV/ B00MMMCDVI/ 10MMMCDVII/ 21/J0MMMCDVIII/ 2/40MMMCDI^/ 0/20MMMCD^/ 21/B0MMMCDÎ/ J/B

MMMCDÎI/ B00MMMCDÎII/ 10MMMCDÎV/ 22/J0MMMCD^V/ 2/10MMMCD^VI/ 0/60MMMCD^VII/ 21/0MMMCD^VIII/ J/WMMMCDÎ^/ B00MMMCD^^/ 10MMMCD^Î/ 26/J0MMMCD^ÎI/ 1/0MMMCD^ÎII/ 0/20MMMCD^ÎV/ 22/10MMMCD^^V/ J/JW



0


MMMCD^^VI/ B00MMMCD^^VII/ 10MMMCD^^VIII/ 24/J0MMMCD^Î^/ 1/J0MMMCD^^^/ 0/40MMMCD^^Î/ 22/J0MMMCD^^ÎI/ J/4JMMCD^^ÎII/ B00MMMCD^^ÎV/ 10MMMCD^^^V/ 2J/J0MMMCD^^^VI/ 1/20MMMCD^^^VII/ 0/60MMMCD^^^VIII/ 22/W0MMMCD^^Î^/ J/61

MMMCD^L/ B00MMMCD^LI/ 10MMMCD^LII/ 2B/J0MMMCD^LIII/ 0/W0MMMCD^LIV/ 0/40MMMCD^LV/ 26/20MMMCD^LVI/ J/20MMMCD^LVII/ B00MMMCD^LVIII/ 10MMMCD^LI^/ 2/J0MMMCDL/ 0/J0MMMCDLI/ 0/60MMMCDLII/ 26/J0MMMCDLIII/ J/0W

MMMCDLIV/ B00MMMCDLV/ 10MMMCDLVI/ 2W/J0MMMCDLVII/ 0/60MMMCDLVIII/ 0/20MMMCDLI^/ 26/0MMMCDL^/ 4/JMMMCDLÎ/ B00MMMCDLÎI/ 10MMMCDLÎII/ 2/J0MMMCDLÎV/ 0/10MMMCDL^V/ 0/20MMMCDL^VI/ 26/0MMMCDL^VII/ 4/W2

MMCDL^VIII/ B00MMMCDLÎ^/ 10MMMCDL^^/ 60/J0MMMCDL^Î/ 0/00MMMCDL^ÎI/ 0/10MMMCDL^ÎII/ 24/00MMMCDL^ÎV/ 4/BW&&#D'JJ6.

a> 'a 6elocidad de infiltración =f>&&&#D'JJ6!.

&&&#D'JJ6!!. f =1

2∗S∗t

−1

2 + K

MMMCDL^^VIII/ D+'3e!

- S 9$@me%$# 3e'#m&'3# 3#$*&+'- *#'3,*%&;&33 =&3$@,)&* 3e) ,e)#7 ;e)#*&33

&'%'%@'e- % %&em9# 3e3e e) &'&*&# 3e) $&e.#

MMMCDL^ I^/ De$$#))'3# ) (+$m,) 3e ) ;e)#*&33 3e &'(&)%$*&+'

&&&#D'JJJ. X =t −1

2 ; %=1

2∗S ; H L

&&&#D'JJJ!. f = %X +'

&&&#D'JJJ!!. iem$o9cumulad

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&&&#D'JJJ!!!.&&&#D'JJJ!6. L 6elocidad de!nfiltración!nstantánea

=cm?min>MMMCDL^^^V/ 0MMMCDL^^^VI/ -MMMCDL^^^VII/ -

MMMCDL^^^VIII/ 0/J0MMMCDL^^Î^/ 1/41

42MMMCD^C/ 2/000

MMMCD^CI/ 1/00MMMCD^CII/ 1/00

00MMMCD^CIII/ 1/J00

MMMCD^CIV/ 1/J0MMMCD^CV/ 0/W1

BJMMMCD^CVI/ 1/166

MMMCD^CVII/ 2/00MMMCD^CVIII/ 0/0

1MMMCD^CI^/ 1/000

MMMD/ 2/J0MMMDI/ 0/B6

2JMMMDII/ 0/20

MMMDIII/ 6/00MMMDIV/ 0/J

4MMMDV/ 0/W66



1


MMMDVI/ 6/J0MMMDVII/ 0/J6

4JMMMDVIII/ 0/W00

MMMDI^/ 4/J0MMMD^/ 0/4

14MMMDÎ/ 0/BB

MMMDÎI/ J/J0MMMDÎII/ 0/42

B4MMMDÎV/ 0/B6B

MMMD^V/ B/J0MMMD^VI/ 0/6

22MMMD^VII/ 0/JWJ

MMMD^VIII/ /J0MMMDÎ^/ 0/6B

J1MMMD^^/ 0/J20

MMMD^Î/ W/J0

MMMD^ÎI/ 0/64

60MMMD^ÎII/ 0/41

MMMD^ÎV/ /J0MMMD^^V/ 0/62

44MMMD^^VI/ 0/4J6

MMMD^^VII/ 10/J0MMMD^^VIII/ 0/60

WBMMMD^Î^/ 0/46W

MMMD^^^/ 11/J0MMMD^^Î/ 0/2

4MMMD^^ÎI/ 0/42B

MMMD^^ÎII/ 12/J0MMMD^^ÎV/ 0/2W2WMMMD^^^V/ 0/40W

MMMD^^^VI/ 16/J0MMMD^^^VII/ 0/2

22MMMD^^^VIII/ 0/400

MMMD^^Î^/ 14/J0MMMD^L/ 0/2B

2BMMMD^LI/ 0/6

MMMD^LII/ 1J/J0MMMD^LIII/ 0/2J

40MMMD^LIV/ 0/6BW

MMMD^LV/ 1B/J0MMMD^LVI/ 0/24

B2MMMD^LVII/ 0/6JW

MMMD^LVIII/ 1/J0MMMD^LI^/ 0/26

0 MMMDL/ 0/646

MMMDLI/ 1W/J0MMMDLII/ 0/26

2JMMMDLIII/ 0/660

MMMDLIV/ 1/J0MMMDLV/ 0/22

BJMMMDLVI/ 0/62W



2


MMMDLVII/ 20/J0MMMDLVIII/ 0/22

0MMMDLI^/ 0/61

MMMDL^/ 21/J0MMMDLÎ/ 0/21

JMMMDLÎI/ 0/612

MMMDLÎII/ 22/J0MMMDLÎV/ 0/21

0WMMMDL^V/ 0/60

MMMDL^VI/ 2/J0MMMDL^VII/ 0/1

0MMMDL^VIII/ 0/26

MMMDLÎ^/ 62/J0MMMDL^^/ 0/1

J4MMMDL^Î/ 0/2J2

MMMDL^ÎI/ 6/J0

MMMDL^ÎII/ 0/1B

66MMMDL^ÎV/ 0/262

MMMDL^^V/ 42/J0MMMDL^^VI/ 0/1J

64MMMDL^^VII/ 0/214

MMMDL^^VIII/ 4/J0MMMDL^Î^/ 0/14

J1MMMDL^^^/ 0/204

MMMDL^^Î/ J2/J0MMMDL^^ÎI/ 0/16

W0MMMDL^^ÎII/ 0/12

MMMDL^^ÎV/ J/J0MMMDL^^^V/ 0/161MMMDL^^^VI/ 0/1W4

MMMDL^^^VII/ B2/J0MMMDL^^^VIII/ 0/12

BJMMMDL^^Î^/ 0/1B

MMMD^C/ B/J0MMMD^CI/ 0/12

1MMMD^CII/ 0/1B

MMMD^CIII/ 2/J0MMMD^CIV/ 0/11

4MMMD^CV/ 0/1B4

MMMD^CVI/ /J0MMMD^CVII/ 0/11

6BMMMD^CVIII/ 0/1J

MMMD^CI^/ W/J0MMMDC/ 0/10

BMMMDCI/ 0/14

MMMDCII/ /J0MMMDCIII/ 0/10

16MMMDCIV/ 0/16

MMMDCV/ 10/J0MMMDCVI/ 0/0

B4MMMDCVII/ 0/16J





4


MMMDCLI^/ 2W/J0MMMDCL^/ 0/0J

0MMMDCLÎ/ 0/0W2

MMMDCLÎI/ 2/J0MMMDCLÎII/ 0/0J

W0MMMDCLÎV/ 0/0W0

MMMDCL^V/ 60/J0MMMDCL^VI/ 0/0J

0MMMDCL^VII/ 0/0W

&&&D#'J6!!!.&&&D#'J!J.

0.0E*00 5.0E$01 1.0E*00 1.5E*000.000

0.500

1.000

1.500

2.000

2.500

%&'( ) 1.44' $ 0R+ ) 1

;elo$idad de nl!ra$ion 0$#8#in

!<0=%5 0#in<1

;el% de inl!ra$ion 0$#8#in

&&&D#'JJ.

&&&D#'JJ!. f L 1.43<3 t −1

2 , @.@@1

&&&D#'JJ!!.&&&D#'JJ!!!.

&&&D#'JJ!6. #om$aración y cálculo de la velocidad de infiltracióncon la formula determinada

&&&D#'JJ6. 6elocidad de!nfiltración =cm?ora>

&&&D#'JJ6!. 6elocidad de!nfiltración#alculada=cm?ora>

MMMDCL^^VII/ - MMMDCL^^VIII/ -MMMDCL^Î^/ 2/000 MMMDCL^^^/ 2/066MMMDCL^^Î/ 1/J00 MMMDCL^^ÎI/ 1/46

MMMDCL^^ÎII/ 1/166 MMMDCL^^ÎV/ 1/16MMMDCL^^^V/ 1/000MMMDCL^^^VI/ 1/01B



5


MMMDCL^^^VII/ 0/20MMMDCL^^^VIII/ 0/0MMMDCL^^Î^/ 0/W66 MMMDC^C/ 0/W2

MMMDC^CI/ 0/W00 MMMDC^CII/ 0/BWMMMDC^CIII/ 0/BB MMMDC^CIV/ 0/BMMMDC^CV/ 0/B6B MMMDC^CVI/ 0/B12

MMMDC^CVII/ 0/JWJ MMMDC^CVIII/ 0/JB6MMMDC^CI^/ 0/J20 MMMDCC/ 0/J24

MMMDCCI/ 0/41 MMMDCCII/ 0/42MMMDCCIII/ 0/4J6 MMMDCCIV/ 0/4BBMMMDCCV/ 0/46W MMMDCCVI/ 0/446

MMMDCCVII/ 0/42B MMMDCCVIII/ 0/426MMMDCCI^/ 0/40W MMMDCC^/ 0/40BMMMDCCÎ/ 0/400 MMMDCCÎI/ 0/60

MMMDCCÎII/ 0/6 MMMDCCÎV/ 0/6MMMDCC^V/ 0/6BW MMMDCC^VI/ 0/6B4

MMMDCC^VII/ 0/6JW MMMDCC^VIII/ 0/6J6MMMDCCÎ^/ 0/646 MMMDCC^^/ 0/646MMMDCC^Î/ 0/660 MMMDCC^ÎI/ 0/666

MMMDCC^ÎII/ 0/62W MMMDCC^ÎV/ 0/62JMMMDCC^^V/ 0/61 MMMDCC^^VI/ 0/61

MMMDCC^^VII/ 0/612MMMDCC^^VIII/ 0/60MMMDCC^Î^/ 0/60 MMMDCC^^^/ 0/602MMMDCC^^Î/ 0/26 MMMDCC^^ÎI/ 0/26

MMMDCC^^ÎII/ 0/2J2MMMDCC^^ÎV/ 0/2J1

MMMDCC^^^V/ 0/262MMMDCC^^^VI/ 0/264

MMMDCC^^^VII/ 0/214MMMDCC^^^VIII/ 0/220MMMDCC^^Î^/ 0/204 MMMDCC^L/ 0/20W

MMMDCC^LI/ 0/12 MMMDCC^LII/ 0/1WMMMDCC^LIII/ 0/1W4 MMMDCC^LIV/ 0/1WMMMDCC^LV/ 0/1B MMMDCC^LVI/ 0/1W1

MMMDCC^LVII/ 0/1B MMMDCC^LVIII/ 0/14MMMDCC^LI^/ 0/1B4 MMMDCCL/ 0/1BW

MMMDCCLI/ 0/1J MMMDCCLII/ 0/1B2MMMDCCLIII/ 0/14 MMMDCCLIV/ 0/1J6

MMMDCCLV/ 0/16 MMMDCCLVI/ 0/14JMMMDCCLVII/ 0/16J MMMDCCLVIII/ 0/16WMMMDCCLI^/ 0/12 MMMDCCL^/ 0/162MMMDCCLÎ/ 0/122 MMMDCCLÎI/ 0/12B

MMMDCCLÎII/ 0/120 MMMDCCLÎV/ 0/122MMMDCCL^V/ 0/11 MMMDCCL^VI/ 0/11

MMMDCCL^VII/ 0/112 MMMDCCL^VIII/ 0/114MMMDCCLÎ^/ 0/10 MMMDCCL^^/ 0/110MMMDCCL^Î/ 0/111 MMMDCCL^ÎI/ 0/10

MMMDCCL^ÎII/ 0/10WMMMDCCL^ÎV/ 0/104

MMMDCCL^^V/ 0/10BMMMDCCL^^VI/ 0/101MMMDCCL^^VII/ 0/106MMMDCCL^^VIII/ 0/0



6


MMMDCCL^Î^/ 0/0 MMMDCCL^^^/ 0/0MMMDCCL^^Î/ 0/0BMMMDCCL^^ÎI/ 0/04

MMMDCCL^^ÎII/ 0/06MMMDCCL^^ÎV/ 0/02MMMDCCL^^^V/ 0/01MMMDCCL^^^VI/ 0/00

MMMDCCL^^^VII/ 0/0WMMMDCCL^^^VIII/ 0/0WMMMDCCL^^Î^/ 0/0W MMMDCC^C/ 0/0W

MMMDCC^CI/ 0/0WJ MMMDCC^CII/ 0/0WJMMMDCC^CIII/ 0/0W2 MMMDCC^CIV/ 0/0W4MMMDCC^CV/ 0/0W0 MMMDCC^CVI/ 0/0W2

MMMDCC^CVII/ 0/0WMMMDCC^CVIII/ 0/0W1&&&D##J#!J.

MMMDCCC/

&&&D###!.&&&D###!!.

b> 'amina !nfiltrada acumulada =F>

&&&D###!!!. F L 7 t 1

2 R t H

MMMDCCCIV/ De ) e*,*&+' 3e ) ;e)#*&33 3e &'(&)%$*&+'

&&&D###6.

%=1

2

∗S

; 1.43<3 L

1

2

∗S



7


&&&D###6!. 7 L 2.<E))&&&D###6!!.&&&D###6!!!. H L ; H L , @.@@1

&&&D###!J.

&&&D###J. F L 2.<E)) t

1

2

@.@@1t&&&D###J!.

&&&D###J!!.&&&D###J!!!.&&&D###J!6. #om$aración y cálculo de la lámina de infiltración con

la formula determinada

MMMDCCC^V/ T&em9# A*,m,)3#

M&'

MMMDCCC^VI/ I'(&)%$*&+' A*,m,)3

*m

MMMDCCC^VII/ I'(&)%$*&+' A*,m,)3C)*,)3

*mMMMDCCC^VIII/ 0MMMDCCCÎ^/ 0/00MMMDCCC^^/MMMDCCC^Î/ 0/J0MMMDCCC^ÎI/ 1/00MMMDCCC^ÎII/ 1/01

MMMDCCC^ÎV/ 1/00MMMDCCC^^V/ 1/J0MMMDCCC^^VI/ 1/46MMMDCCC^^VII/ 1/J0MMMDCCC^^VIII/ 1/0MMMDCCC^Î^/ 1/B0MMMDCCC^^^/ 2/00MMMDCCC^^Î/ 2/00MMMDCCC^^ÎI/ 2/062

MMMDCCC^^ÎII/ 2/J0MMMDCCC^^ÎV/ 2/60MMMDCCC^^^V/ 2/22MMMDCCC^^^VI/ 6/00MMMDCCC^^^VII/ 2/J0MMMDCCC^^^VIII/ 2/4WWMMMDCCC^^Î^/ 6/J0MMMDCCC^L/ 2/W0MMMDCCC^LI/ 2/BW

MMMDCCC^LII/ 4/J0MMMDCCC^LIII/ 6/00MMMDCCC^LIV/ 6/04

MMMDCCC^LV/ J/J0MMMDCCC^LVI/ 6/J0MMMDCCC^LVII/ 6/6BWMMMDCCC^LVIII/ B/J0MMMDCCC^LI^/ 6/W0MMMDCCCL/ 6/BB0MMMDCCCLI/ /J0MMMDCCCLII/ 6/0MMMDCCCLIII/ 6/61

MMMDCCCLIV/ W/J0MMMDCCCLV/ 4/00MMMDCCCLVI/ 4/1WJMMMDCCCLVII/ /J0MMMDCCCLVIII/ 4/60MMMDCCCLI^/ 4/424MMMDCCCL^/ 10/J0MMMDCCCLÎ/ 4/B0MMMDCCCLÎI/ 4/BJ0

MMMDCCCLÎII/ 11/J0MMMDCCCLÎV/ 4/0MMMDCCCL^V/ 4/WBBMMMDCCCL^VI/ 12/J0MMMDCCCL^VII/ J/10MMMDCCCL^VIII/ J/06MMMDCCCLÎ^/ 16/J0MMMDCCCL^^/ J/40MMMDCCCL^Î/ J/21MMMDCCCL^ÎI/ 14/J0MMMDCCCL^ÎII/ J/J0MMMDCCCL^ÎV/ J/4B2

MMMDCCCL^^V/ 1J/J0MMMDCCCL^^VI/ J/0MMMDCCCL^^VII/ J/B4MMMDCCCL^^VIII/ 1B/J0MMMDCCCL^Î^/ J/0MMMDCCCL^^^/ J/W2BMMMDCCCL^^Î/ 1/J0MMMDCCCL^^ÎI/ B/00MMMDCCCL^^ÎII/ J/

MMMDCCCL^^ÎV/ 1W/J0MMMDCCCL^^^V/ B/10MMMDCCCL^^^VI/ B/1BWMMMDCCCL^^^VII/ 1/J0MMMDCCCL^^^VIII/ B/40MMMDCCCL^^Î^/ B/662

MMMDCCC^C/ 20/J0MMMDCCC^CI/ B/J0MMMDCCC^CII/ B/42MMMDCCC^CIII/ 21/J0MMMDCCC^CIV/ B/0MMMDCCC^CV/ B/B4WMMMDCCC^CVI/ 22/J0MMMDCCC^CVII/ B/0MMMDCCC^CVIII/ B/W00MMMDCCC^CI^/ 2/J0MMMCM/ /J0MMMCMI/ /J1J

MMMCMII/ 62/J0MMMCMIII/ W/20MMMCMIV/ W/1B

MMMCMV/ 6/J0MMMCMVI/ W/0MMMCMVII/ W/0MMMCMVIII/ 42/J0MMMCMI^/ /10MMMCM^/ /664



8


MMMCMÎ/ 4/J0MMMCMÎI/ /0MMMCMÎII/ /WBJMMMCMÎV/ J2/J0MMMCM^V/ 10/10MMMCM^VI/ 10/6B

MMMCM^VII/ J/J0MMMCM^VIII/ 10/B0MMMCMÎ^/ 10/W4MMMCM^^/ B2/J0MMMCM^Î/ 11/00MMMCM^ÎI/ 11/60W

MMMCM^ÎII/ B/J0MMMCM^ÎV/ 11/40MMMCM^^V/ 11/4MMMCM^^VI/ 2/J0MMMCM^^VII/ 11/0MMMCM^^VIII/ 12/14MMMCM^Î^/ /J0MMMCM^^^/ 12/60MMMCM^^Î/ 12/JW4MMMCM^^ÎI/ W/J0MMMCM^^ÎII/ 16/00MMMCM^^ÎV/ 16/6BMMMCM^^^V/ /J0MMMCM^^^VI/ 16/B0MMMCM^^^VII/ 14/10J

MMMCM^^^VIII/ 10/J0MMMCM^^Î^/ 14/J0MMMCM^L/ 14/W0JMMMCM^LI/ 11/J0MMMCM^LII/ 1J/20MMMCM^LIII/ 1J/46

MMMCM^LIV/ 12/J0MMMCM^LV/ 1J/B0MMMCM^LVI/ 1B/116MMMCM^LVII/ 16/J0MMMCM^LVIII/ 1B/J0MMMCM^LI^/ 1B/2W

MMMCML/ 14/J0MMMCMLI/ 1/20MMMCMLII/ 1/621MMMCMLIII/ 1J/J0MMMCMLIV/ 1/0MMMCMLV/ 1/W6MMMCMLVI/ 1B/J0MMMCMLVII/ 1W/20MMMCMLVIII/ 1W/44MMMCMLI^/ 1/J0MMMCML^/ 1/0MMMCMLÎ/ 1W/WJMMMCMLÎI/ 1W/J0MMMCMLÎII/ 20/60MMMCMLÎV/ 1/J0MMMCML^V/ 1/J0MMMCML^VI/ 21/00MMMCML^VII/ 20/01B

MMMCML^VIII/ 20/J0MMMCMLÎ^/ 21/40MMMCML^^/ 20/J11MMMCML^Î/ 21/J0MMMCML^ÎI/ 21/B0MMMCML^ÎII/ 20/4

MMMCML^ÎV/ 22/J0MMMCML^^V/ 21/0MMMCML^^VI/ 21/4BMMMCML^^VII/ 26/J0MMMCML^^VIII/ 22/10MMMCML^Î^/ 21/2WMMMCML^^^/ 24/J0MMMCML^^Î/ 22/J0MMMCML^^ÎI/ 22/6W0

MMMCML^^ÎII/ 2J/J0MMMCML^^ÎV/ 22/W0MMMCML^^^V/ 22/W26MMMCML^^^VI/ 2B/J0MMMCML^^^VII/ 26/20MMMCML^^^VIII/ 26/2JMMMCML^^Î^/ 2/J0MMMCM^C/ 26/J0MMMCM^CI/ 26/BW2

MMMCM^CII/ 2W/J0MMMCM^CIII/ 26/0MMMCM^CIV/ 24/100MMMCM^CV/ 2/J0MMMCM^CVI/ 26/0MMMCM^CVII/ 24/J11

MMMCM^CVIII/ 60/J0MMMCM^CI^/ 24/00MMMM/ 24/14&&&&!.



9


&&&&!!.

&&&&!!!.&&&&!6.&&&&6.

&&&&6!.&&&&6!!.&&&&6!!!.&&&&!J.&&&&J. &Q/D/ D( P''!P7 P9*9 (' #!'!D*/&&&&J!.

&&&&J!!. !nter valode

&edición=seg>

&&&&J!!!. !nter valode

&edición=min>

&&&&J!6. iem$o

9cumulado=&in>

&&&&J6. 'ecturasParciales=cm>

&&&&J6!. !nfiltración

Parcial =cm>

&&&&J6!!. !nfiltración

9cumulada=cm>

&&&&J6!!!. 6eloci

dadde

!nfiltración

=cm?ora>

MMMMÎ^/ 0MMMM^^/ 0/00MMMM^Î/ 0/00MMMM^ÎI/ 1/J0MMMM^ÎII/ 0/00MMMM^ÎV/ 0MMMM^^V/MMMM^^VI/ 60MMMM^^VII/ 0/J0MMMM^^VIII/ 0/J0MMMM^Î^/ 1B/20MMMM^^^/ 1/60MMMM^^Î/ 1/60MMMM^^ÎI/ 1JB/00

MMMM^^ÎII/ 60MMMM^^ÎV/ 0/J0MMMM^^^V/ 1/00MMMM^^^VI/ 1J/60MMMM^^^VII/ 0/0MMMM^^^VIII/ 2/20MMMM^^Î^/ 162/00MMMM^L/ 60MMMM^LI/ 0/J0MMMM^LII/ 1/J0MMMM^LIII/ 14/J0MMMM^LIV/ 0/W0MMMM^LV/ 6/00MMMM^LVI/ 120/00

MMMM^LVII/ 60MMMM^LVIII/ 0/J0MMMM^LI^/ 2/00MMMML/ 16/0MMMMLI/ 0/B0MMMMLII/ 6/B0MMMMLIII/ 10W/00



00


MMMMLIV/ 60MMMMLV/ 0/J0MMMMLVI/ 2/J0MMMMLVII/ 16/60MMMMLVIII/ 0/B0MMMMLI^/ 4/20MMMML^/ 100/W0MMMMLÎ/ 60MMMMLÎI/ 0/J0MMMMLÎII/ 6/00MMMMLÎV/ 12/0MMMML^V/ 0/B0MMMML^VI/ 4/W0MMMML^VII/ B/00

MMMML^VIII/ 60MMMMLÎ^/ 0/J0MMMML^^/ 6/J0MMMML^Î/ 12/00MMMML^ÎI/ 0/0MMMML^ÎII/ J/J0MMMML^ÎV/ 4/2MMMML^^V/ 60MMMML^^VI/ 0/J0MMMML^^VII/ 4/00MMMML^^VIII/ 11/60MMMML^Î^/ 0/0MMMML^^^/ B/20MMMML^^Î/ 6/00

MMMML^^ÎI/ 60MMMML^^ÎII/ 0/J0MMMML^^ÎV/ 4/J0MMMML^^^V/ 10/B0MMMML^^^VI/ 0/0MMMML^^^VII/ B/0MMMML^^^VIII/ 2/00MMML^^Î^/ 60MMMM^C/ 0/J0MMMM^CI/ J/00MMMM^CII/ 10/00MMMM^CIII/ 0/B0MMMM^CIV/ /J0MMMM^CV/ 0/00MMMM^CVI/ B0MMMM^CVII/ 1/00MMMM^CVIII/ B/00MMMM^CI^/ /60MMMMC/ 0/0MMMMCI/ W/20MMMMCII/ W2/00

MMMMCIII/ B0MMMMCIV/ 1/00MMMMCV/ /00MMMMCVI/ W/B0MMMMCVII/ 0/0MMMMCVIII/ W/0MMMMCI^/ B/2MMMMC^/ B0MMMMCÎ/ 1/00MMMMCÎI/ W/00MMMMCÎII/ /0MMMMCÎV/ 0/0MMMMC^V/ /B0MMMMC^VI/ 2/00

MMMMC^VII/ B0MMMMC^VIII/ 1/00MMMMCÎ^/ /00MMMMC^^/ /40MMMMC^Î/ 0/J0MMMMC^ÎI/ 10/10MMMMC^ÎII/ B/66MMMMC^ÎV/ B0MMMMC^^V/ 1/00MMMMC^^VI/ 10/00MMMMC^^VII/ B/0MMMMC^^VIII/ 0/0MMMMC^Î^/ 10/W0MMMMC^^^/ B4/W0MMMMC^^Î/ B0MMMMC^^ÎI/ 1/00MMMMC^^ÎII/ 11/00MMMMC^^ÎV/ B/20MMMMC^^^V/ 0/J0MMMMC^^^VI/ 11/60MMMMC^^^VII/ B1/B4

MMMC^^^VIII/ B0MMMMC^^Î^/ 1/00MMMMC^L/ 12/00MMMMC^LI/ J/B0MMMMC^LII/ 0/B0MMMMC^LIII/ 11/0MMMMC^LIV/ J/J0MMMMC^LV/ B0MMMMC^LVI/ 1/00MMMMC^LVII/ 16/00MMMMC^LVIII/ J/10MMMMC^LI^/ 0/J0MMMMCL/ 12/40MMMMCLI/ J/26

MMMMCLII/ B0MMMMCLIII/ 1/00MMMMCLIV/ 14/00MMMMCLV/ 4/B0MMMMCLVI/ 0/J0MMMMCLVII/ 12/0MMMMCLVIII/ JJ/2MMMMCLI^/ B0MMMMCL^/ 1/00MMMMCLÎ/ 1J/00MMMMCLÎI/ 4/60MMMMCLÎII/ 0/60MMMMCLÎV/ 16/20MMMMCL^V/ J2/W0

MMMMCL^VI/ B0MMMMCL^VII/ 1/00MMMMCL^VIII/ 1B/00MMMMCLÎ^/ 6/0MMMMCL^^/ 0/40MMMMCL^Î/ 16/B0MMMMCL^ÎI/ J1/00MMMMCL^ÎII/ B0MMMMCL^ÎV/ 1/00MMMMCL^^V/ 1/00MMMMCL^^VI/ 6/B0MMMMCL^^VII/ 0/60MMMMCL^^VIII/ 16/0MMMMCL^Î^/ 4/0BMMMMCL^^^/ B0MMMMCL^^Î/ 1/00MMMMCL^^ÎI/ 1W/00MMMMCL^^ÎII/ 6/60MMMMCL^^ÎV/ 0/60MMMMCL^^^V/ 14/20MMMMCL^^^VI/ 4/66MMCL^^^VII/ B0MMMMCL^^^VIII/ 1/00MMMMCL^^Î^/ 1/00MMMMC^C/ 2/0MMMMC^CI/ 0/40MMMMC^CII/ 14/B0MMMMC^CIII/ 4B/11MMMMC^CIV/ B0MMMMC^CV/ 1/00MMMMC^CVI/ 20/00MMMMC^CVII/ 2/J0MMMMC^CVIII/ 0/40MMMMC^CI^/ 1J/00MMMMCC/ 4J/00

MMMMCCI/ B0MMMMCCII/ 1/00MMMMCCIII/ 21/00MMMMCCIV/ 2/00MMMMCCV/ 0/J0MMMMCCVI/ 1J/J0MMMMCCVII/ 44/2MMMMCCVIII/ B0MMMMCCI^/ 1/00MMMMCC^/ 22/00MMMMCCÎ/ 1/B0MMMMCCÎI/ 0/40MMMMCCÎII/ 1J/0MMMMCCÎV/ 46/6BMMMMCC^V/ B0MMMMCC^VI/ 1/00MMMMCC^VII/ 26/00MMMMCC^VIII/ 1/60MMMMCCÎ^/ 0/60MMMMCC^^/ 1B/20MMMMCC^Î/ 42/2B

MMMMCC^ÎI/ B0MMMMCC^ÎII/ 1/00MMMMCC^ÎV/ 24/00MMMMCC^^V/ 1/00MMMMCC^^VI/ 0/60MMMMCC^^VII/ 1B/J0

MMMMCC^^VIII/ 41/2JMMMCC^Î^/ B0MMMMCC^^^/ 1/00MMMMCC^^Î/ 2J/00MMMMCC^^ÎI/ 0/0MMMMCC^^ÎII/ 0/60MMMMCC^^ÎV/ 1B/W0MMMMCC^^^V/ 40/62MMCC^^^VI/ B0MMMMCC^^^VII/ 1/00MMMMCC^^^VIII/ 2B/00MMMMCC^^Î^/ 0/60MMMMCC^L/ 0/40MMMMCC^LI/ 1/20MMMMCC^LII/ 6/BMMMCC^LIII/ B0MMMMCC^LIV/ 1/00MMMMCC^LV/ 2/00MMMMCC^LVI/ 0/00MMMMCC^LVII/ 0/60MMMMCC^LVIII/ 1/J0MMMMCC^LI^/ 6W/W&&&&##'.&&&&##'!.

&&&&##'!!.&&&##'!!!.

6elocidad de !nfiltración

&&&&##'!6. f =

1

2∗S∗t

−1

2

+ K

MMMMCCLV/ D+'3e!

- S 9$@me%$# 3e'#m&'3# 3#$*&+'

- *#'3,*%&;&33 =&3$@,)&* 3e) ,e)#7 ;e)#*&33

&'%'%@'e- % %&em9# 3e3e e) &'&*&# 3e) $&e.#

MMMMCCLVI/ De$$#))'3# ) (+$m,) 3e ) ;e)#*&33 3e &'(&)%$*&+'

&&&&##'6!!. X =t

−1

2

;

%=1

2∗S

; H L



01


&&&&##'6!!!. f = %X +'

&&&&##'!J.&&&&##'J. J L

t

−1

2

&&&&##'J!. 6elocidad de !nfiltración

=cm?min>

MMMMCCLÎI/ - MMMMCCLÎII/ -MMMMCCLÎV/ 1/414MMMMCCL^V/ 2/B00MMMMCCL^VI/ 1/000MMMMCCL^VII/ 2/200

MMMMCCL^VIII/ 0/W1BMMMMCCLÎ^/ 2/000MMMMCCL^^/ 0/0MMMMCCL^Î/ 1/W00

MMMMCCL^ÎI/ 0/B62MMMMCCL^ÎII/ 1/BW0MMMMCCL^ÎV/ 0/JMMMMCCL^^V/ 1/B00MMMMCCL^^VI/ 0/J6JMMMMCCL^^VII/ 1/J1

MMMMCCL^^VIII/ 0/J00MMMMCCL^Î^/ 1/JJ0MMMMCCL^^^/ 0/41MMMMCCL^^Î/ 1/J66MMMMCCL^^ÎI/ 0/44MMMMCCL^^ÎII/ 1/J00

MMMMCCL^^ÎV/ 0/40WMMMMCCL^^^V/ 1/6BMMMMCCL^^^VI/ 0/6WMMMMCCL^^^VII/ 1/21

MMMMCCL^^^VIII/ 0/6J4MMMMCCL^^Î^/ 1/200MMMMCC^C/ 0/666MMMMCC^CI/ 1/122

MMMMCC^CII/ 0/61BMMMMCC^CIII/ 1/0W0MMMMCC^CIV/ 0/602MMMMCC^CV/ 1/02MMMMCC^CVI/ 0/2WMMMMCC^CVII/ 0/2

MMMMCC^CVIII/ 0/2MMMMCC^CI^/ 0/J4MMMMCCC/ 0/2BMMMMCCCI/ 0/21MMMMCCCII/ 0/2JWMMMMCCCIII/ 0/WW0

MMMMCCCIV/ 0/2J0MMMMCCCV/ 0/WJ0MMMMCCCVI/ 0/246MMMMCCCVII/ 0/W1W

MMMMCCCVIII/ 0/26BMMMMCCCI^/ 0/WMMMMCCC^/ 0/22MMMMCCCÎ/ 0/BW

MMMMCCCÎI/ 0/224MMMMCCCÎII/ 0/J0MMMMCCCÎV/ 0/21WMMMMCCC^V/ 0/6WMMMMCCC^VI/ 0/216MMMMCCC^VII/ 0/26

MMMMCCC^VIII/ 0/20MMMMCCCÎ^/ 0/04MMMMCCC^^/ 0/204MMMMCCC^Î/ 0/BWWMMMMCCC^ÎI/ 0/200MMMMCCC^ÎII/ 0/B2

MMMMCCC^ÎV/ 0/1BMMMMCCC^^V/ 0/BB2MMMMCCC^^VI/ 0/12MMMMCCC^^VII/ 0/B4W

&&&&###JJ6!!!.&&&&###JJ!J.



02


&&###JJJ.

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.60.0

0.5

1.0

1.5

2.0

2.5

3.0%&'( ) 1.78' * 0.46

R+ ) 0.92

;elo$idad de :nl!ra$ion 0$#8#in

,elo-id!d de Inltr!-ion &-//in( $ Line!r &,elo-id!d de Inltr!-ion &-//in( $(

! < 0=%5 0#in<1

elo$idad de :nl!ra$ion 0$#8#in

&&###JJJ!.

&&&&###JJJ!!. f =1.7831∗t −1

2 +0.4582

&&&&###JJJ!!!.

&&&&###JJJ!6.&&&&###JJJ6. #om$aración y cálculo de la velocidad de infiltración con la

formula determinada

&&&&###JJJ6!. 6elocidad de!nfiltración=cm?min>

&&&&###JJJ6!!. 6elocidad de!nfiltracióncalculada=cm?min>

MMMMCCC^^^VIII/ -MMMMCCC^^Î^/ -MMMMCCC^L/ 2/B00 MMMMCCC^LI/ 2/W0

MMMMCCC^LII/ 2/200MMMMCCC^LIII/ 2/241MMMMCCC^LIV/ 2/000MMMMCCC^LV/ 1/14

MMMMCCC^LVI/ 1/W00MMMMCCC^LVII/ 1/1MMMMCCC^LVIII/ 1/BW0MMMMCCC^LI^/ 1/JWB

MMMMCCCL/ 1/B00 MMMMCCCLI/ 1/4WWMMMMCCCLII/ 1/J1 MMMMCCCLIII/ 1/411

MMMMCCCLIV/ 1/JJ0 MMMMCCCLV/ 1/6J0MMMMCCCLVI/ 1/J66MMMMCCCLVII/ 1/2

MMMMCCCLVIII/ 1/J00 MMMMCCCLI^/ 1/2JBMMMMCCCL^/ 1/6B MMMMCCCLÎ/ 1/1WB

MMMMCCCLÎI/ 1/21MMMMCCCLÎII/ 1/162MMMMCCCLÎV/ 1/200MMMMCCCL^V/ 1/0W



03


MMMMCCCL^VI/ 1/122MMMMCCCL^VII/ 1/0J6MMMMCCCL^VIII/ 1/0W0MMMMCCCLÎ^/ 1/022

MMMMCCCL^^/ 1/02MMMMCCCL^Î/ 0/BMMMMCCCL^ÎI/ 0/2MMMMCCCL^ÎII/ 0/6

MMMMCCCL^ÎV/ 0/J4MMMMCCCL^^V/ 0/J6MMMMCCCL^^VI/ 0/21MMMMCCCL^^VII/ 0/6J

MMMMCCCL^^VIII/ 0/WW0MMMMCCCL^Î^/ 0/1MMMMCCCL^^^/ 0/WJ0MMMMCCCL^^Î/ 0/04

MMMMCCCL^^ÎI/ 0/W1WMMMMCCCL^^ÎII/ 0/W1MMMMCCCL^^ÎV/ 0/WMMMMCCCL^^^V/ 0/WWMMMMCCCL^^^VI/ 0/BWMMMMCCCL^^^VII/ 0/WB

MMMMCCCL^^^VIII/ 0/J0MMMMCCCL^^Î^/ 0/WJMMMMCCC^C/ 0/6WMMMMCCC^CI/ 0/W4

MMMMCCC^CII/ 0/26MMMMCCC^CIII/ 0/W6WMMMMCCC^CIV/ 0/04MMMMCCC^CV/ 0/W60MMMMCCC^CVI/ 0/BWWMMMMCCC^CVII/ 0/W22

MMMMCCC^CVIII/ 0/B2MMMMCCC^CI^/ 0/W1JMMMMCD/ 0/BB2 MMMMCDI/ 0/W0W

MMMMCDII/ 0/B4W MMMMCDIII/ 0/W01&&&&#D!6.

&&&&#D6.

&&&&#D6!. 'amina infiltrada acumulada

&&&&#D6!!. F L 7 t

1

2 R t H



04


MMMMCDVIII/ De ) e*,*&+' 3e ) ;e)#*&33 3e &'(&)%$*&+'

&&&&#D!J. %=1

2∗S ; 1.E<31 L

1

2∗S

&&&&#DJ. 7 L 3."))2

&&&&#DJ!.&&&&#DJ!!. H L ; H L @.4"<2&&&&#DJ!!!.

&&&&#DJ!6. F L 3."))2 t 1

2 [email protected]"<2t

&&&&#DJ6.&&&&#DJ6!. #om$aración y cálculo de la lámina de infiltración con la

formula determinada&&&&#DJ6!!.&&&&#DJ6!!!.

MMMMCDÎ^/ T&em9# A*,m,)3# M&'

MMMMCD^^/ I'(&)%$*&#' A*,m,)3 *m

MMMMCD^ I/ I'(&)%$*&#' A*,m,)3C)*,)3 *m

MMMMCD^ÎI/ 0/00MMMMCD^ÎII/ 0/00 MMMMCD^ÎV/ 0/00MMMMCD^^V/ 0/J0MMMMCD^^VI/ 1/60 MMMMCD^^VII/ 1/4

MMMMCD^^VIII/ 1/00MMMMCD^Î^/ 2/20 MMMMCD^^^/ 2/24MMMMCD^^Î/ 1/J0MMMMCD^^ÎI/ 6/00 MMMMCD^^ÎII/ 2/W

MMMMCD^^ÎV/ 2/00MMMMCD^^^V/ 6/B0 MMMMCD^^^VI/ 6/44MMMMCD^^^VII/ 2/J0MMMMCD^^^VIII/ 4/20 MMMMCD^^Î^/ 6/B

MMMMCD^L/ 6/00 MMMMCD^LI/ 4/W0 MMMMCD^LII/ 4/4B

MMMMCD^LIII/ 6/J0MMMMCD^LIV/ J/J0 MMMMCD^LV/ 4/4MMMMCD^LVI/ 4/00MMMMCD^LVII/ B/20 MMMMCD^LVIII/ J/40MMMMCD^LI^/ 4/J0 MMMMCDL/ B/0 MMMMCDLI/ J/W4

MMMMCDLII/ J/00 MMMMCDLIII/ /J0 MMMMCDLIV/ B/2WMMMMCDLV/ B/00 MMMMCDLVI/ W/20 MMMMCDLVII/ /12

MMMMCDLVIII/ /00 MMMMCDLI^/ W/0 MMMMCDL^/ /6MMMMCDLÎ/ W/00 MMMMCDLÎI/ /B0 MMMMCDLÎII/ W/1

MMMMCDLÎV/ /00MMMMCDL^V/ 10/10 MMMMCDL^VI/ /4MMMMCDL^VII/ 10/00MMMMCDL^VIII/ 10/W0 MMMMCDLÎ^/ 10/22

MMMMCDL^^/ 11/00MMMMCDL^Î/ 11/60 MMMMCDL^ÎI/ 10/J

MMMMCDL^ÎII/ 12/00MMMMCDL^ÎV/ 11/0 MMMMCDL^^V/ 11/BWMMMMCDL^^VI/ 16/00MMMMCDL^^VII/ 12/40 MMMMCDL^^VIII/ 12/6MMMMCDL^Î^/ 14/00MMMMCDL^^^/ 12/0 MMMMCDL^^Î/ 16/0MMMMCDL^^ÎI/ 1J/00MMMMCDL^^ÎII/ 16/20 MMMMCDL^^ÎV/ 16/WMMMMCDL^^^V/ 1B/00MMMMCDL^^^VI/ 16/B0MMMMCDL^^^VII/ 14/4B

MMMMCDL^^^VIII/ 1/00MMMMCDL^^Î^/ 16/0 MMMMCD^C/ 1J/14MMMMCD^CI/ 1W/00MMMMCD^CII/ 14/20 MMMMCD^CIII/ 1J/W1

MMMMCD^CIV/ 1/00MMMMCD^CV/ 14/B0 MMMMCD^CVI/ 1B/4WMMMMCD^CVII/ 20/00MMMMCD^CVIII/ 1J/00 MMMMCD^CI^/ 1/14

MMMMD/ 21/00 MMMMDI/ 1J/J0 MMMMDII/ 1/MMMMDIII/ 22/00 MMMMDIV/ 1J/0 MMMMDV/ 1W/44



05


MMMMDVI/ 26/00 MMMMDVII/ 1B/20 MMMMDVIII/ 1/0MMMMDI^/ 24/00 MMMMD^/ 1B/J0 MMMMDÎ/ 1/6MMMMDÎI/ 2J/00 MMMMDÎII/ 1B/W0 MMMMDÎV/ 20/6MMMMD^V/ 2B/00 MMMMD^VI/ 1/20 MMMMD^VII/ 21/01

MMMMD^VIII/ 2/00 MMMMDÎ^/ 1/J0 MMMMD^^/ 21/B4&&&&DJJ!.

&&&&DJJ!!.

&&&DJJ!!!.&&&DJJ!6.

&&&&DJJ6.

&&&DJJ6!.&&&DJJ6!!.&&&DJJ6!!!.

&&&DJJ!J.&&&&DJJJ.

&&&DJJJ!.&&&DJJJ!!.&&&DJJJ!!!.&&&DJJJ!6.&&&DJJJ6.&&DJJJ6!.



06


&&DJJJ6!!.&&DJJJ6!!!.&&DJJJ!J.&&&&DJ'.

&&&&DJ'!.&&&&DJ'!!.

&&&DJ'!!!.&&&DJ'!6.

&&&&DJ'6.&&&DJ'6!.

6!!!. #/#'07!/(7 *(#/&(D9#!/(7-&&&DJ'6!!.&&&DJ'6!!!.

&&&&DJ'!J. #/#'07!/(7-

MMMMDL/ L e*,*&+' 3e ) ;e)#*&33 3e &'(&)%$*&+' #"%e'&3 9#$ e) m<%#3# 3e

#%&#; 7 3e ) 9# *&):'3$&* =e*= e' %&e$$7 e ,% e' *& %#3, %#%)&33 ',e%$# 3%# #"%e'&3# e' e) *m9#7 e 9,e3e#"e$;$ e% .$(&* 9.&' $$&"/

MMMMDLI/ De m'e$ &m&)$ ) )@m&' *)*,)3 *,m,)3 e ,%

%&(*%#$&me'%e ',e%$# 3%# 3e *m9#7 *#' ,' )&.e$##"$e)%# 3e ',e%$# 3%# 3e *m9#/

MMMMDLII/ P$ e) m<%#3# 3e )# *&)&'3$# 3e &'(&)%$*&+'7 #"e$;m# >,e

',e%$# 3%# #"%e'&3# e' *m9# '# e ,%' ) e*,*&+' 3e );e)#*&33 3e &'(&)%$*&+'7 *#m# ) e*,*&+' 3e ) )@m&' *,m,)37m" *)*,)37 e%# e 9,e3e 3e"e$ 3&(e$e'%e e$$#$e*#me%&3# e' e) m#me'%# 3e ) 9$@*%&*7 e$$#$e *#m#! e' ) %#m 3e3%#7 ) ,9e$(&*&e '# e%" m, 9)'37 ) *9 $")e e%"m, 9$#(,'37 e%*/

MMMMDLIII/ L e*,*&+' #"%e'&3 9$ ) ;e)#*&33 3e &'(&)%$*&+' 9$ e) 9## 3e

%&e$$ e!MMMMDLIV/ f =4.68+ (31−4.68 )∗e

−0.0157 t

MMMMDLV/ E% e*,*&+' '# e ,% m,*=# )# 3%# $e)e 9#$>,e e)'&;e) 3e $e9$ee'%%&;&33 (,e 3e $ 2 0/1W/

L e*,*&+' #"%e': 9$ ) )m&' &'(&)%$3 *,m,)3 e!

MMMMDLVI/

1−e¿¿

) =4.68∗t +1676.43∗¿



07


MMMMDLVII/ E% e*,*&+' '# e 9,3# *)*,)$ 9#$ m<%#3# 3e m:'&m#*,3$3# 9#$>,e '# e 9,3# )&'e)&$7 9#$ )# >,e e #"%,;# )&'%e.$$ ) e*,*&+' 3e ;e)#*&33 3e &'(&)%$*&+'/

L e*,*&+' #"%e'&3 9$ ) ;e)#*&33 3e &'(&)%$*&+' 9$ e) *&)&'3$#

&'(&)%$+me%$# e!MMMMDLVIII/ f =38.89+(154.955−38.89 )∗e

−0.155t

MMMMDLI / E% e*,*&+' e ,% )# 3%# $e)e 9#$>,e e) '&;e) 3e$e9$ee'%%&;&33 3e ) )&'e)&*&+' (,e 3e $ 2 0/B4/

L e*,*&+' #"%e': 9$ ) )m&' &'(&)%$3 *,m,)3 e!

MMMMDL^/

1−e¿¿

) =38.89

60 ∗t +

728.75

60 ∗¿

MMMMDLÎ/ E% e*,*&+' '# e 9,3# *)*,)$ 9#$ m<%#3# 3e m:'&m#*,3$3# 9#$>,e '# e 9,3# )&'e)&$7 9#$ )# >,e e #"%,;# )&'%e.$$ ) e*,*&+' 3e ;e)#*&33 3e &'(&)%$*&+'7 e 9#$ e# >,e '# e,% m,*=# )# 3%# 3e *m9#/

MMMMDLÎI/ L ;e)#*&33 3e &'(&)%$*&+' 3e%e$m&'3 *#' e) 9## &'(&)%$#me%$# %&e'e

e) m#3e)# ( 1/46W6 t −1

2 ` 0/001

L ;e)#*&33e 3e%e$m&'3 *#' e) 9## &'(&)%$#me%$# e' e) *m9#

*)*,)3 #' &m<%$&*# e' , .$(&* 9#$ )# %'%# e 9,e3e 3e*&$ >',e%$# m#3e)# e 3e*, )# e9e$&me'%# $e)&3# e' e) *m9#

L ;e)#*&33 3e &'(&)%$*&+' 3e%e$m&'3 *#' e) *&)&'3$# &'(&)%$#me%$#

%&e'e e) m#3e)# f =1.7831∗t −1

2 +0.4582

L ;e)#*&33e 3e%e$m&'3 *#' e) *&)&'3$# &'(&)%$#me%$# e' e) *m9#


L )m&' &'(&)%$3 *,m,)3 3e%e$m&'3 9#$ e) 9## &'(&)%$#me%$#

%&e'e e) m#3e)# F 2/WBB t 1

2 ` 0/001%

L )m&' &'(&)%$3 *,m,)3 *#' e) 9## &'(&)%$#me%$# e' e) *m9#


L )m&' &'(&)%$3 *,m,)3 3e%e$m&'3 9#$ e) 9## &'(&)%$#me%$#

%&e'e e) m#3e)# F 6/JBB2 t 1

2 `0/4JW2%



08


L )m&' &'(&)%$3 *,m,)3 *#' e) *&)&'3$# &'(&)%$#me%$# e' e) *m9#


MMMMDLÎII/MMMMDLÎV/

&&&&D'J6. *(#/&(D9#!/(7-&&&&D'J6!.

Se $e*#m&e'3 =*e$ m@ e'# e' 3&(e$e'%e %&9# 3e ,e)# 9$

, $e9e*%&;# $e*#'#*&m&e'%#/MMMMDL^VII/

E) %$"# 9$ e% 9$,e" 'e*e&% m,*= %e'*&+' 9#$ 9$%e 3e)

#9e$3#$ 9#$>,e 9,e3e 3$ $e,)%3# ()# >,e 9e$,3&*$: )#*@)*,)#/

MMMMDL^VIII/

Se $e*#m&e'3 e.,&$ $e)&'3# %$"# *#m# e%# 9,e%# >,e e3e ,m &m9#$%'*& 9$ e) e%,3&'%3#7 , (#$m*&+' 9$#(e&#')/MMMDLÎ^/

Se $e*#m&e'3 *#'%$,&$ m@ *&)&'3$# &'(&)%$#me%$# 9$ %e'e$ m#$

9$e*&&+' e' )# %$"# 3e &';e%&.*&+'/MMMMDL^^/MMMMDL^Î/

MMMMDL^ÎI/MMMMDL^ÎII/

!J. !'!/8*9F!9-&&&D'JJ!6.

OFICINA DEL REGANTE/ 2002/ C$*%e$&*&+' 3e ) &'(&)%$*&+'/MMMMDL^^V/ G#"&e$'# 3e A$.+'/ De9$%me'%# 3e A.$&*,)%,$7 E9/

MMMMDL^^VI/ =%%9!e"/ee3/*&*/e#(&*&'$e.'%e$&e.#2$,94/=%m) VÉLEZ7 M/7 VÉLEZ/7 5/ 2002/ C9:%,)# W! I'(&)%$*&+'/ U'&;e$&33

MMMMDL^^VII/ N*&#') 3e C#)#m"&7 U'&33 3e H&3$@,)&*/MMMMDL^^VIII/ =%%9!9#e&3#'/,')me3/e3,/*#m%e$&=&3$#)#.&/=%m)

C#)e.&# Fe3e$3# 3e I'.e'&e$# 3e A$>,&%e*%# 3e C#% R&*7S' 5#< - C#% R&*7 Ce'%$#m<$&*=%%9!/*(&/#$/*$3e*$.&'()&%$*&#'/93(

SIAR 7istema !nteractivo de 9$oyo al *iego; C#)#m"&7

&&&&D'JJ!J. =%%9!/&$/*)3#*9$#%#*#)#I'(&)%$*&#'a,e)#/93( P$#e*%#

F*,)%3 3e I'.e'&e$: F#$e%)7 U'&;e$&33 3e T)*7U'&;e$&33 N*&#') 3e C#)#m"&7 U'&33 3e H&3$@,)&*/

MMMMDL^^^/ =%%9!e&/,%)*/*)D#*93(P,")&**&#'em',)e*am#3,)#a*,$;a&'(&)%$*&#'/93(

Facultad de #iencias , 0dela* , &ontevideo , 0ruguay G"$&e) C#$*=/ =%%9!e3(#)#.&/(*&e'/e3,/,$*=&;#A.,K20e'K20e)K20,e)#/93(

Ve)*#7 L /5 1/ F:&* 3e) &%em ,e)# ., 9)'%/

GUROVICH7 L/ 1WJ/ F,'3me'%# 3&e# 3e &%em 3e $&e.#/ I'%&%,%# I'%e$me$&*'# 3e *##9e$*&+' 9$ ) .$&*,)%,$ CIIA/

http://www.monografias.com/trabajos34/el-trabajo/el-trabajo.shtml

http://www.monografias.com/trabajos14/deficitsuperavit/deficitsuperavit.shtml

http://www.monografias.com/trabajos11/norma/norma.shtml

http://web.eead.csic.es/oficinaregante/riego/a2/rsup4.html

http://poseidon.unalmed.edu.co/materias/hidrologia.html

http://www.cfia.or.cr/descargas/inflitracion.pdf

http://www.siar.cl/docs/protocolos/Infiltracion_suelo.pdf

http://www.siar.cl/proyecto/index.php

http://eias.utalca.cl/Docs/pdf/Publicaciones/manuales/c_modulo_curva_infiltracion.pdf


http://edafologia.fcien.edu.uy/archivos/Agua%20en%20el%20suelo.pdf


http://www.monografias.com/Agricultura_y_Ganaderia/index.shtml


http://www.monografias.com/trabajos34/el-trabajo/el-trabajo.shtml

http://www.monografias.com/trabajos14/deficitsuperavit/deficitsuperavit.shtml

http://www.monografias.com/trabajos11/norma/norma.shtml

http://web.eead.csic.es/oficinaregante/riego/a2/rsup4.html

http://poseidon.unalmed.edu.co/materias/hidrologia.html

http://www.cfia.or.cr/descargas/inflitracion.pdf

http://www.siar.cl/docs/protocolos/Infiltracion_suelo.pdf

http://www.siar.cl/proyecto/index.php








09


P$&me$ E3&*&+'7 S' 5#<7 C#% R&*/ C9:%,)# B/ 9/ 146-1BW/ OFICINA DEL REGANTE/ 2002/ C$*%e$&*&+' 3e ) &'(&)%$*&+'/ =%%9!9#e&3#'/,')me3/e3,/*#m%e$&=&3$#)#.&/=%m) =%%9!9#e&3#'/,')me3/e3,/*#m%e$&=&3$#)#.&/=%m) A")+' V@>,e7 V/7 e) $&e.# 9$&'*&9&# "@&*#/

R#"&'+'/ / bL# ,e)#b A")+' V@>,e7 V/7 e) $&e.# 9$&'*&9&# "@&*#/ R#"&'+'/ / bL# ,e)#b G#"&e$'# 3e A$.+'/ De9$%me'%# 3e A.$&*,)%,$7 E9/ =%%9!e"/ee3/*&*/e#(&*&'$e.'%e$&e.#2$,94/=%m) VÉLEZ7 M/7 VÉLEZ/7 5/ 2002/ C9:%,)# W! I'(&)%$*&+'/ U'&;e$&33 N*&#') 3e C#)#m"&7 U'&33 3e H&3$@,)&*/

MMMDL^^Î/

MMDL^^ÎI/

MMDL^^ÎII/

MMDL^^ÎV/

MMDL^^^V/

&&D'JJJ6!. 6!!!., 9(J/-&D'JJJ6!!.

MMMDL^^^VIII/

MMMMDL^^Î / C&)&'3$# I'(&)%$#me%$#

MMMMD^C/

http://www.monografias.com/trabajos901/nuevas-tecnologias-edicion-montaje/nuevas-tecnologias-edicion-montaje.shtml

http://www.monografias.com/trabajos6/cori/cori.shtml

http://www.monografias.com/trabajos6/etic/etic.shtml


http://www.monografias.com/trabajos6/hies/hies.shtml


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http://www.monografias.com/trabajos13/verpro/verpro.shtml

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http://www.monografias.com/trabajos5/laweb/laweb.shtml

http://www.monografias.com/trabajos13/verpro/verpro.shtml



10


MMMMD^CI/

MMMMD^CII/ C&)&'3$# I'(&)%$#me%$# &'%)3# 9$ ) 9$,e"e 3e &'(&)%$*&+' e' e) ,e)#

MMMMD^CIII/

MMMMD^CIV/ Me3&3 3e) %&em9# e) 3e*e'# 3e) ., e' e) *&)&'3$# &'(&)%$#me%$#



11


MMMMD^CV/

MMMMD^CVI/ P# I'(&)%$#me%$#

MMMMD^CVII/

MMMMD^CVIII/

MMMMD^CI / P# 3e &'(&)%$*&+' &'%)3 9$ ) 9$,e" 3e &'(&)%$*&+' 3e) ,e)#

MMMMDC/



12


MMMMDCI/

MMMMDCII/ Me3&3 3e) %&em9# e) 3e*e'# 3e) ., e' e) 9## &'(&)%$#me%$#

MMMMDCIII/

MMMMDCIV/

MMMMDCV/

C,I.