UNIVERSIDAD DE CHILE FACULTAD DE CIENCIAS FÍSICAS Y MATEMÁTICAS DEPARTAMENTO DE INGENIERÍA DE MINAS
METODOLOGÍA PARA PARA LA DETERMINACIÓN DE LEY DE CORTE INCORPORANDO LA CINÉTICA DE LIXIVIACIÓN
MEMORIA PARA OPTAR AL TÍTULO DE INGENIERO CIVIL DE MINAS
DIEGO IGNACIO CASTILLO HIDALGO
PROFESOR GUÍA: JULIÁN ORTÍZ CABRERA
MIEMBROS DE LA COMISIÓN: BRUNO BEHN THEUNE ANTONIO COUBLE CERVIÑO CERVIÑO
SANTIAGO DE CHILE ABRIL 2010
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DIAS A@OS FACTOR REC? /8FACTOR 263 1 1)(( :1? :1? 263 1 1)(( 62? 62? 365 1 1)(( 52):? 65? 63< 2 ()<2 13)6? 365 1 1)(( 1? 2:? 3( 2 ()<2 :? 1(<5 3 ():5 ,? 1,6( , (): 2?
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FASE F(3 F(, F(5 F(6 F(: F(< F1( F11 F12 F13 F1, F15 F16 F1 F1: TOTAL
SULFUR CT? OXIDO CT MIXTO CT? ROMOS CT? ROMLC CT? H-P CT? GRAVA LASTR TOTAL 6,: 1):6 2< ()<1 8 <2 ():, 8 8 6< 8 8 8 8 8 .3( ()<6 ,,( 1):, 1.3( 2)56 616 ():3 <11 ()65 2.,, ()3 8 2.3 15.3< 1(.:2 1)15 1.,( 1)23 1.,< 1)2< 6 ()5: 2.6: ()2< 2.31 (),1 8 1.5: 2(.3: 22.,< ()<< 3.3< 1)2( 2.:6 1)1, 1.62 ()55 6.6, ()32 ,.25 (),1 :.2: 21.:5 1.,1 ,.(3 (): 1.,2 1)6 :6< 1)< 2( ()51 2.5, ()25 52( (),5 16.36 5.<( 32.3: 16.6 ()<3 2.(, 1)5: 2.,5 1)36 3.32 ()5, :.26 ()26 5.23 ()36 2(.2< 2,.,2 :2.2 12.5 ():5 ,.5, ():, 3.61 1)(5 3.3< (), 11.(< ()21 3.,2 ()35 31.,2 1(.,< :(.55 2,.,, 1)(, 5: ()<< 1. 1)1: 2.32 ()6( 6.2 ()25 ,.31 (),2 ,<.<1 1<.<( 1(<.<: <.:2 1)2 1., ()<2 ,.2 1)36 5< ()< .5( ()26 1,2 (), :(.<2 ,.25 1(:.<< 11.1< 1),2 6< ()56 2.5< 1)(2 2.(1 ()3 3.3 ()2( <21 ()6( 2:.3< 3.(2 52.55 2:.56 1)(1 <:2 ()5 2.11 ():, 2.1, ()55 ,.5, ()26 6.25 (),5 :.:: <.1, 1,1.63 16.36 1)21 56< ()6: 1.,1 ():5 1.:( ()5 ,.23 ()3( 2.:( ()51 ,5.13 .: :(.1( 26.12 ()63 1.3 ():< 2.<( ()<: .(( ()3, 12.<( ()1< .3: ()31 <.2 23.6< 16(.6: 1(.12 ()6( 21( ()3< 5<6 (),( ,.5< (),3 ,.:2 ()1 6.,( ()35 35.,6 1,.(, 6.26 8 8 13.26 ()5: : (),: 2.2< ()26 ,.:6 ()21 2.6, ()33 ,.<< 1,.1 112.:6 21,.,6 ()<: 1<.12 1)(< 2:.35 1)2( 32.56 (),: :1.,< ()2, ,<.15 ()3< 55:.35 163.1< 1.1,6.6<
T"b(" )3 T'ne(",es 4 (e4es "#u"(es+
E" *"( #+! +$&i)$ !+$+ %!&,%+$+3 !+ )!&i% &$(+i)!%()$ " &," $%/ )! *"(ii&%3 +! *%!+!( &$(i(,&i'(8 M+!;!"#+ T+# 1((
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EMANEJO MOVIMIENT O C&T? R
G!:1&#' <3 F&$u!" )8 M'-&m&en' %e( /("n b"se+
M$58 Mi( R!/(!<$ OIDO C,T MITO C,T SULFURO C,T ROM
C,T O%! T$ C%,+6!% C,T
1
2
3000
3000
0
23 182 310 280 13000 18 113 08 203000 18
3000 0 3 32 310 182 18 130 18 18 13000 13000 1821 08 30 10301 08 081 203000 203000 182 180
H
3000 31 31 13 232 3 180 08 3 2302 18 181 13000 13000 181 18 3 31 080 082 203000 203000 18 182
03000 0
3 08 2311 08 13000 08 32 082 203000 08
PERIODO
3000 31 23 08 32 08 13000 182 31 08 203000 1811
3000 3000 32 08 232 080 13000 181 1231 082 203000 180
10
11
12
1
> 30 3000 3000 23000 0 20 3 3 10312 > 232 2 2 > 1800 1800 08 1800 > 30 220 13 2 > 182 182 180 180 13000 130 131 1301 10312 08 181 08 08 080 > 321 3201 130 3 > 081 08 0820 08 203000 203000 203000 203000 10312 08 181 080 08 080
T"b(" ))3 P("n m&ne!' b"se+
9+ E("b'!"#&*n %e /e!1&( %e %&s"n#&" " '%'s ('s %es&n's+ E( !+ !* +! *%$&!)! !"#$%% *% &) +!>#(&$ ,( *!%i" )! )i+(&i &) )!+i($ *$+i#"!8 D! !+ /(!% +! *$)%9 &$($&!% " )i+(&i !& 4,! 6 )!+)! ,( #(&$ !( *%i&,"% &,"4,i!% )! "$+ )!+i($+ *$+i#"!+8 C$( !""$ ))$ ,( *!%i" )! 5!"$&i)) )!" &/i'( *$)%!/$+ $#!(!% "+ 6$%+ (!&!+%i+ *% %!&$%%!% !" *!%i"8 P% " !"#$%&i'( )! !+! *!%i"3 +! *%$&!)i' &%!% %/$+ )i5i)i)$+ !( i(!%i$% /i( !!%i$% /i(8 L$+ %/$+ +$&i)$+ " i(!%i$% /i( +$(: &&!+$ " #(&$3 %/* +?i&6#&@+8 P% !" &+$ )!" !!%i$% /i(3 !(!/$+ "$+ )!+i($+ *$+i#"!+: 6i*'-!($3 #$)!%$ ($%!3 +$&@3 &6(&)$ ROM8
F&$u!" 3 V&s" $ene!"( %e (" m&n" #'n ('s %es&n's %e m"e!&"( /'s&b(e+
C$( "$+ *!%i"!+ &%!)$+ &$($&i) " )i+(&i +$&i) &) *!%i"3 +! *%$&!)! &"&,"% "+ 6$%+ !( %!&$%%!% !" &i&"$3 5"! )!&i% !( i% &%-)$ )!+)! !" #(&$ 6+ !" )!+i($ &$%%!+*$()i!(! !( %!-%!+% 5&7$ " $%i-!(8 P% )!+%%$""% !" &9"&,"$3 !" *!%i" )! 5!"$&i))!+ *% !" &/i'( CAT C +! $#i!(! )!+)! "+ #+!+ )!" L$20108
+>!44= ; INTERIOR MINA EXTERIOR MINA BOTADEROS CURVAS BAJANDO SUBIENDO T"b(" ).3 Pe!1&( %e Ve('#&%"%es %e( #"m&*n CAT 2C+
VACI 25)( ,5)( 25)( 2()( 3)( 26),
LLEN 25)( 2)( 25)( 2()( 21), 11)5
U( !
OUTPUT HAULAGE PROFILE O># F13EXTH-P F13EXTREM F13EXTBN F13EXTST/ F13EXTHEAP F13EXTROM F13R1,5 F13R13( F13R115 F13R1(( F13R16:5 F13S16:5 F13R16( F13R1655 F13R16,( F13R1625 F13B1625 F13R161( F13B161( F13R15<5 F13B15<5 F13R15:( F13B15:( F13R1565 F13S1565 F13B1565 F13R155( F13B155( F13R1535 F13B1535
D!=#"> 6: 221: <<6 252 6,<( 5,1( 15, 15, 162 15: 16( 13< 16( 163 161 15( 6(, 152 5( 13 35 155 352 16, 11 2,6 13 365 153 1,,
DISTANCIA GLOBAL ; HORAS TOTALES PLAN SUBIEND BAJAND EMPT- LOAD TOTA 6: 8 8 15)( 25)1 ()(, 2.21 8 8 ,<)1 :1): ()(: :< 8 8 1)<: 3)3( ()(1 1.3 8 8 3:), 6,)1 ()1( 5.( 8 8 126): 211), ()3, ,.: 8 8 1(6)2 1)( ()2: 8 15, 15, ,)15 13)3 ()(2 8 15, 15, ,)1 13), ()(2 8 162 162 ,)3 1,)( ()(2 8 15: 15: ,)2: 13) ()(2 8 16( 16( ,)33 13)< ()(2 13< 8 8 6)< 6)< ()(1 8 16( 16( ,)32 13)< ()(2 8 163 163 ,),1 1,)2 ()(2 8 161 161 ,)36 1,)( ()(2 8 15( 15( ,)(, 13)( ()(2 ,6, 8 8 1:)5 1:)5 ()(, 8 152 152 ,)11 13)2 ()(2 5( 8 8 2()2 2()2 ()(, 8 13 13 ,)6: 15)( ()(2 35 8 8 1,)2 1,)2 ()(3 8 155 155 ,)1: 13), ()(2 352 8 8 1,)( 1,)( ()(3 8 16, 16, ,),2 1,)2 ()(2 11 8 8 :)5, :)5, ()(2 2,6 8 8 <):3 <):3 ()(2 8 13 13 ,)6< 15)( ()(2 365 8 8 1,)6 1,)6 ()(3 8 153 153 ,)13 13)3 ()(2 1,, 8 8 5) 5) ()(1
T"b(" )23 Re/'!e %e (" %&s"n#&" /'! !"m' 4 e( &em/' en 7'!"s "s'#&"%' en !e#'!!e!('+
D! !+ /(!% +! i!(! i()i5i),"i.)$ &) %/$ *% *$+!%i$%/!(! !"#$%% "+ %,+ #(&$>+!>)!+i($3 4,! !+ !" i(*, i(i&i" *% !" &9"&,"$ )!" &$+$ )! %(+*$%!8
9+ C:(#u(' %e( #'s' %e !"ns/'!e
D!(%$ )!" &9"&,"$ )! &$+$+3 !" !+,)i$ +! !($&%9 !( " )!!%/i(&i'( )! ,( (,!5$ &$+$ )! /i( 4,! !(- !( &$(+i)!%&i'( " )i+(&i 4,! )!#! %!&$%%!% !" #"$4,! *% +, *%$&!+/i!($8 E( " &,"i)) !" 5"$% )! C/ !% i<$ +'"$ !(7 ,( &$% )! <,+! )!*!()i!()$ )! " &$ " &," +! !(&$(%# !" #(&$3 "$ &," &"%/!(! &$(""!5 ,( +!+-$ 4,! +! *%!!()! )i+/i(,i%3 !+*!&7i&/!(! *% /!%i"!+ )! "!!+ /%-i("!+ "$+ &,"!+ *$% +, ,#i&&i'( !+*&i" )!(%$ )!" *i3 6%9 " )i!%!(&i !( +, )!+i($ i(" )! !(57$8
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ORIGEN FASE F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13
TONELAJES BANCO OXIDO SULFURO MIXTO ROM H-P LASTRE 1 8 8 8 8 8 8 16 8 8 8 8 8 8 1, 8 8 8 8 8 21: 13 8 8 8 8 8 ,.6,: 11 8 8 8 8 8 6.:2 1( 8 8 8 8 8 5.:<< 16: 8 8 8 8 8 ,.,21 16 8 8 8 8 8 ,.63: 165 8 8 8 8 8 ,.,2, 16, 8 8 363 3.3: 8 5<3 162 8 2( 1.,5 2.53 8 8 161 8 2.3< 1.2: 16: 8 8 15< 8 3. 2< 15< 8 8 15: 8 2. 8 5< 23< 8 156 8 1.,6 8 (1 66< 8 155 8 1.65 8 <1 5:5 8 153 8 ,3( 8 3<2 ,: 8 152 15(
T"b(" )93 T'ne(",es /'! b"n#' se/"!"%' /'! &/' %e m"e!&"(?
S! &$($&! !" &$% )! &%- )! ,( &/i'( CAT C3 *%$5!(i!(! )! "+ #+! )!" LOA20103 4,! !+ )! 22 $(!")+8 L &(i)) )! &i&"$+ (!&!+%i$+ *$% i*$ )! /i(!%" +,%-! )! " )i5i+i'( )!" $(!"
ORI$N
FASE
BANC
F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13
'(P
15 16( 1,5 13( 115 1(( 16:5 16( 1655 16,( 1625 161( 15<5 15:( 1565 155( 1535
8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
'(P
&T+ O,
'(P
8 8 8 8 8 8 8 8 8 8 :: 1(.,: 16.53 12.1: 6.,2 .2 1.::
8 8 8 8 8 8 8 8 8 1.5< 6.3: 5.6, 12: 8 8 8 8
CICLO RO* &T+
RO*
8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1.5<, 8 1,.:3 6.3:< :: 11.11 5.6,2 1(.,: 3 12: 16.53 6< 8 12.1: 3.32 8 6.,2 3.( 8 .2 ,.(2 8 1.:: 1.1
8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
RO*
RO*
8 8 8 8 8 8 8 8 8 8 :: 1(.,: 16.53 12.1: 6.,2 .2 1.::
8 8 8 8 8 8 8 8 8 1.5< 6.3: 5.6, 12: 8 8 8 8
L &T R
' YP '
8 8 8 8 <5: 8 2(.3: 8 2<.<, 8 25.: 8 1<.3: 8 2(.3, 8 1<.,( 8 2.6( 8 8 8 8 8 8 8 8 1.(, 8 2.<3 8 2.56 8 212
8 8 ()16 ()16 ()1 ()1 ()1: ()1 ()1 ()1 ()2( ()2( ()2( ()1< ()2( ()2( ()1:
'OR(& POR CICLO & T+ RO * -N ' YP
8 8 ()2( ()2( ()2( ()2( ()22 ()2( ()2( ()2( ()2, ()2, ()23 ()23 ()2, ()23 ()21
8 8 ()3( ()3( ()3( ()3( ()32 ()3( ()3( ()3( ()3, ()3, ()33 ()33 ()3, ()33 ()31
8 8 ()(6 ()(6 ()(6 ()(6 ()( ()(6 ()(6 ()(6 ()(< ()1( ()(< ()(< ()1( ()(< ()(
T"b(" )<3 Nme!' %e #&#('s /'! b"n#' "s'#&"%' " un &/' %e m"e!&"(+
C$(i(,()$ &$( !" &9"&,"$3 " !(!% " &(i)) )! &i&"$+ (!&!+%i$+ *$% $%$ ")$ "+ 6$%+ +$&i)+ !( %!&$%%!% &) &i&"$3 +! *,!)! &$($&!% "+ 6$%+ $"!+ (!&!+%i+ *% /$5!% !+! /!%i"8 E( " +i-,i!(! #" $#+!%5/$+ " &(i)) )! 6$%+ 4,! +! %!4,i!%!( *% /$5!% ,( i*$ )! /!%i" ,( )!+i($ *%i&,"%8 A)!/9+ +! *%!&i !" &$+$ )! %(+*$%! +$&i)$8 ORI$N F&
F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13 F13
'OR(& TOT(L& ( C(D( D&TINO POR *INTYP
-NC '(P
15 16( 1,5 13( 115 1(( 16:5 16( 1655 16,( 1625 161( 15<5 15:( 1565 155( 1535
8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
'(P
8 8 8 8 8 8 8 8 8 8 1: 2.1, 3.23 2.35 1.3( 1.,2 332
'(P
8 8 8 8 8 8 8 8 8 26, 1.2: 1.15 25 8 8 8 8
&T+ O,
8 8 8 8 8 8 8 8 8 323 1.52 1.36 3( 8 8 8 8
&T+
RO*
8 8 8 8 8 8 8 8 8 8 21 2.5, 3.:5 2.:( 1.5, 1.6< ,(3
8 8 8 8 8 8 8 8 8 ,., 3.5 251 231 1.(< 1.(, 1.33 536
RO*
8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
RO*
8 8 8 8 8 8 8 8 8 8 3( 3.5 5.,: ,.(1 2.1 2.,1 5:<
RO*
8 8 8 8 8 8 8 8 8 ,:1 2.15 1.<2 ,2 8 8 8 8
CO&TO TRN&PORT
L&TR ' YP ' P
&T+
RO *
8 8 8 8 8 8 8 8 8 8 55 8 8 8 8 1.1 8 8 8 8 1.5 8 8 8 8 1.5( 8 8 8 8 1.,( 8 8 8 8 1.1: 8 8 8 8 1.1, 8 8 8 8 152 8 ()11 ()13 ()2( 8 8 ()13 ()16 ()22 8 8 ()13 ()16 ()22 8 8 ()13 ()15 ()22 8 2(2 ()13 ()15 ()22 8 5<, ()13 ()16 ()22 8 5(3 ()13 ()15 ()22 8 3 ()12 ()1, ()21
-N
'YP
8 8 ()(, ()(, ()(, ()(, ()(5 ()(, ()(, ()(, 8 8 8 8 8 8 8
8 8 8 8 8 8 8 8 8 8 8 8 8 ()13 ()13 ()13 ()12
T"b(" )3 C's' %e !"ns/'!e /'! b"n#' "s'#&"%' " un &/' %e m"e!&"(+
C#! +!"% "+ 2 &$/*$(!(!+ )! !+! &$+$8 P$% ,( ")$ !+9 +$&i)$ " &(i)) )! $(!"
8 8 ()16 ()16 ()1 ()1 ()1: ()1 ()1 ()1 ()2( ()2( ()2( ()1< ()2( ()2( ()1:
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HEAP STOC ROM BN H -P ()(, ()15 ()11 ()16 ()(5 ()(5 ()15 ()12 ()15 ()(5 ()(5 ()16 ()12 ()1 ()(5 ()( ()15 ()15 ()16 ()( ()(6 ()16 ()1, ()1< ()(5 ()(: ()13 ()16 ()1, ()(: ()(: ()11 ()16 ()11 ()(: ()1( ()12 ()16 ()11 ()1( ()13 ()15 ()22 ()(, ()13 ()13 ()13 ()2( ()12 ()13 ()12 ()13 ()1< ()(< ()12 ()13 ()21 ()21 ()( ()13 ()13 ()15 ()21 ()(< ()13 ()1< ()21 ()1, ()12 ()1< ()1( ()15 ()16 ()12 ()1(
F(, F(5 F(6 F(: F(< F1( F11 F12 F13 F1, F15 F16 F1 F1: PROMEDIO
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9+ E,em/(' %e -"('!&;"#&*n %e( b('5ue
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FASE F(6 F(6 F(6 F(6
BANC CT CS TON MX 15:( SULFUR ()55 ()11 1,.<, 15:( MIXTO ()<( (),2 15.1 15:( OXIDO 1)(1 ()2 1,.6, 15:( LASTR ()( ()(1 13.,6
B 36.55 1(,.65 1:2., 8
B+; ,(.51 :1.:< <1.25 8
B=1 2. :<.3, 162.2 8
B=# D=#!"+ 12.5: B+; 12. B 12.33 B 8 B+#4
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P% " !"#$%&i'( )!" *"( )! *%$),&&i'( +! *%$&!)i' ,i"i.% ,( +$?%! )! *"(ii&&i'( /i(!%8 L$+ i(*,+ i(-%!+% +$( !" /$)!"$ )! #"$4,!+3 "$+ &$+$+ )! /i( +!-=( )!+i($ *% &) #"$4,!3 "$+ @>&$% 4,! &=( !( ",-% )! "+ %!&,*!%&i$(!+3 "+ %!+%i&&i$(!+ -!$;&(i&+ $)$+ "$+ *%9/!%$+ !&$('/i&$+ )!!%/i()$+ !( !" *,($ 828 L+ %!+%i&&i$(!+ &$(+i)!%% )!(%$ )!" *"( +$( !" /$5i/i!($ $" )! /9i/$100 M " $3 "i/!(&i'( " &6(&)$ )! 20 M3 "i/!(&i'( )! 'i)$+ )! M /i!(%+ !i+ /i(!%"8
9+) V"('!&;"#&*n em/'!"( %e( /("n
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INGRESOS C+=#+ M!" C+=#+ P+> COSTOS BENEFICIO B#+# B4=>
11:)< 122)2 2:)3 8 ,()< 8 8 8 0 0 0 ::)2( 0 0 0 0 0 0 0 0 0
P!+4 2 3 8 8 8 8 8 8 3): 8 8 8 1<)1 8
8 8 8 8 8
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0 0 8 0 8 0 8 0
0 0 0 0 0
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COSTO BENEFICIO VAN
1
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2
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8
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8 8
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5
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ROM OXIDO SULFUR O CT? OX CT ? SUL CT? ROM
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