Tarea 8 simulación numérica yacimientos

Embed Size (px)

Citation preview

  • 7/24/2019 Tarea 8 simulacin numrica yacimientos

    1/6

    UNIVERSIDADNACIONAL

    AUTNOMADE MXICO

    FACULTAD DEINGENIERA

    T a r e a 8: Creacin de a!!a dedi"#ri$%cin & !ec#%ra de ar#'c%!(

    SimulacinNumrica deYacimientosGrupo 3

    Profesor:Dr. Victor HugoArana rti!

    Alumno:"o#as ro!co $iguelAle#andro

  • 7/24/2019 Tarea 8 simulacin numrica yacimientos

    2/6

    In#r(d%ccin:La "(!%cin n%)rica de !a" ec%aci(ne" de *%+( de *%id(" en edi(" ,(r("("c(n"i"#e en ($#ener %na re,re"en#acin a,r(-iada de !a" ec%aci(ne"di.erencia!e" en ,%n#(" e",ec'/c(" de! e",aci( & de! #ie,(0

    E! d(ini( de! ,r($!ea1 en %n e",aci( & #ie,(1 "e "e2en#a ( di"cre#i3a4 "e2enera a"' %na a!!a de c5!c%!(1 c(n"#i#%ida de ce!da" & n(d("1 d(nde "e($#iene !a "(!%cin en e#a,a" "%ce"i6a" de #ie,(0

    De"arr(!!( de! #ea:E-i"#en $5"icaen#e d(" #i,(" de a!!a" en !a "i%!acin n%)rica:

    a7 Ma!!a" de n(d(" di"#ri$%id("$7 Ma!!a" de $!(%e" cen#rad("

    L(" n(d(" & !(" $!(%e"1 ( ce!da"1 a "% 6e3 ,%eden "er di"#ri$%id(" de anera%ni.(re ( n( %ni.(re0

    La" a!!a" n( %ni.(re" "(n nece"aria" c%and(: Se "i%!an ,r($!ea" c(n re2i(ne" %e e-,erien#an ca$i(" .%er#e"

    en !a ,re"in & en !a" "a#%raci(ne"1 a !( !ar2( de! #ie,( 9c(ni/cacin de*%id("1 re,re"en#acin de ac%'.er("1 e#c07

    Se #ienen &aciien#(" 2e(!2icaen#e c(,!e+(" 9ar%i#ec#%rac(,!e+a1 .a!!a"1 ac%aien#("1 e#c07

    Ma!!a" de N(d(" Di"#ri$%id("En %n &aciien#( !inea! de !(n2i#%d L1 & 5rea #ran"6er"a! a! *%+( A1 %na a!!a den(d(" di"#ri$%id(" %ni.(reen#e "e c(n"#r%&e c(!(cand( ,rieraen#e !("n(d(" de !a" .r(n#era" de! &aciien#( & en#re e!!(" "e di"#ri$%&en1 c(ne",aciaien#( %ni.(re1 e! re"#( de !(" n(d("0 Una 6e3 de/nida !a ,("icin de!(" n(d("1 "e ,r(cede a de/nir !a ,("icin de !a" .r(n#era" de !a" ce!da"1 en e!,%n#( edi( en#re !(" n(d("0

    Si e! #(#a! de "%" n(d(" e" I & "% e",aciaien#( e" -1 e"#e ;!#i( e" de/nid(c((:

    xi=

    L

    I1

    En !a" .r(n#era" e! 6(!%en de !a" ce!da" e" !a i#ad de! 6(!%en de !a" ce!da"in#erna"1 e"#( e":

  • 7/24/2019 Tarea 8 simulacin numrica yacimientos

    3/6

    V ri={ A x i i=1,IA x

    ii=2,3, , I1

    C(n"iderand( !( an#eri(r1 !a ,("icin de !(" n(d(" e":x

    i

    =(i1 ) xi

    i=1,2, . , I

    La ,("icin de !a .r(n#era de !a" ce!da" e":

    xi+

    1

    2

    =( i12 ) x i i=1,2, , I

    Ma!!a Uni.(re de

    Se c(n"#r%&en "i#%and( ce!da" de #aa( %ni.(re en e! &aciien#( &%$icand( ,("#eri(ren#e !(" n(d(" en e! cen#r( de cada %na de e!!a"0

    Si e! #(#a! de "%" n(d(" e" I & "% e",aciaien#( e" -1 e"#e ;!#i( e" de/nid(c((:

    xi=

    LI1

    E! 6(!%en de cada ce!da e" id)n#ic( ,ara #(d(" !(" $!(%e":V r

    i=A x

    ii=1,2,3, , I

    La ,("icin de !(" n(d(" 9cen#r( de !a ce!da7 e":

    xi=(i12 ) x i i=1,2, , I

    = !a" ,("ici(ne" de !a" .r(n#era" de cada ce!da "er5n:x

    i+i x

    ii=1,2, , I

    >ar#e ?: >re2%n#a" "($re !a !ec#%ra@%) e" !a Si%!acin N%)rica de =aciien#(" 9SN=7B

  • 7/24/2019 Tarea 8 simulacin numrica yacimientos

    4/6

    En 2enera! !a "i%!acin "e re/ere a !a re,re"en#acin de a!2;n ,r(ce"( &a "eac(n %n (de!( #eric( ( .'"ic(0 C(( e"#%dian#e" de in2enier'a ,e#r(!erade$e(" en.(carn(" en e! de"arr(!!( & %"( de (de!(" %e de"cri$an !aac#i6idad de! &aciien#( $a+( di.eren#e" c(ndici(ne" (,era#i6a"0

    @C( e" c(n"iderada !a Ec%acin de ara %n e%i,( de c,%#(1 e! #ie,( re%erid( ,ara %na de#erinada"i%!acin de &aciien#("1 de,ende ,rinci,a!en#e de! n;er( de ce!da" & e!n;er( de i#eraci(ne"0E! #ie,( re%erid( ,ara cada i#eracin e" ,r(,(rci(na! a! n;er( de a!!a"0D($!ar e! n;er( de a!!a" "i2ni/ca d%,!icar e! n;er( de #ie,( de c,%#(0

    @C%5!e" "(n !(" ,a"(" %e "e iden#i/can en !a SN=BDe",%)" de "e!ecci(nar e! #i,( de (de!( ,ara e"#%diar1 e! "i2%ien#e ,a"( e"di6idir e! &aciien#( en %n n;er( de ce!da"0 De",%)" !a" c(ndici(ne" de *%+(a!reded(r de! ,er'e#r( "(n e"#a$!ecida"0 N(ra!en#e !(" !'i#e" de!&aciien#( "e c(n"ideran "e!!ad(" ,er( e! *%+( de en#rada ( de "a!ida ade#erinada ,re"in de$e "er #a$i)n e",eci/cada0E! "i2%ien#e ,a"( e" a"i2nar a cada ce!da ,r(,iedade" de r(ca1 2e(e#r'a1di"#ri$%cin inicia! de *%id( & ,r(,iedade" de *%id(0

    @C%5!e" "(n !(" #i,(" de "i%!ad(re"BL(" #i,(" de "i%!ad(re" "e $a"an en e! n;er( de dien"i(ne"0 E! (de!( ded(" dien"i(ne" e" e! %e "e %"a 5" c(;nen#e0E-i"#en di.eren#e" 2e(e#r'a" den#r( de! (de!( de d(" dien"i(ne"1 e! 5",(,%!ar e" e! de 2e(e#r'a (ri3(n#a! 9-H&71 e! 6er#ica! 9-H37 & e! radia! 92H370

    Ta$i)n ,%eden "er c!a"i/cad(" de ac%erd( a! #i,( de &aciien#( ( e! ,r(ce"(%e "e in#en#e "i%!ar0 >(r e+e,!( 2a"1 acei#e ne2r(1 2a" c(nden"ad(1 e-i"#en#i,(" de "i%!ad(re" ,ara %na1 d(" & #re" .a"e" a%n%e nin2%n( de e"#(""i%!ad(re" n( ,%eden inc!%ir !a .%er3a 2ra6i#aci(na! ( ca,i!ar0

  • 7/24/2019 Tarea 8 simulacin numrica yacimientos

    5/6

    N( e" "%/cien#e "e!ecci(nar e! "i%!ad(r re",ec#( a "%" dien"i(ne"1 e!"i%!ad(r de$e #a$i)n re,re"en#ar e! #i,( de idr(car$%r( & !a" .a"e" de!*%id( ,re"en#e"0

    @C%5! e" e! ,r(,"i#( de !a SN=BE! ,r(,"i#( ,rinci,a! de !a Si%!acin de =aciien#(" e" e! de ,redecir !a

    can#idad de idr(car$%r(" rec%,era$!e" $a+( di.eren#e" c(ndici(ne" de(,eracin ( di.eren#e" )#(d(" de ,r(d%ccin0

    @%) enci(na e! ar#'c%!( acerca de! a+%"#e de i"#(ria de ,r(d%ccinBSi !a in.(racin e"#5 inc(,!e#a ( e" "(",ec("a1 !(" "i%!ad(re" ,%eden "er%"ad(" ,ara c(,arar "eiHc%a!i#a#i6aen#e !(" re"%!#ad(" de (,erar e!&aciien#( $a+( di.eren#e" c(ndici(ne"0 Dad( e"#e ca"(1 !a ,reci"in de!"i%!ad(r ,%ede "er a+%"#ada %#i!i3and( !a i"#(ria de ,r(d%ccin0

    Re"%!#ad(":

    A,)ndicec!("e a!!4c!c4c!ear a!!4

    da#("LJK?0K0K84 %nidade" en e#r(" 97D&J4D3J4

    Ia-J4AJD&D34.(riJ:Ia-4 c(n#9i7Ji4 D-9i7JL9Ia-H74 -9i7J9iH7D-9i74 &9i7J9iH?7D-9i74

  • 7/24/2019 Tarea 8 simulacin numrica yacimientos

    6/6

    end.(riJ:Ia- &97J99iH?7D-9i77H??0??4end

    .(riJ?:9Ia-H74 Vr9i7JAD-9i74endVr97JAD-9i7?4Vr9Ia-7J9AD-9i7?74.,rin#.9N(0 de N(d( P# D- P# >("icin N(d( P# >("icin Fr(n#era P# V(!%enCe!da P# Pn7

    .(riJ:Ia- .,rin#.9i P# P# ?0?. P# P# . P# P# . P# P# ?0?. P# P# Pn1000

    c(n#9i71D-9i71-9i71&9i71Vr9i774end

    Re.erencia":Ode 9?70 Re"er6(ir Si%!a#i(nQ a# i" i#B (%rna! (. >e#r(!e% Tecn(!(2&1 9K8KH

    K887