metodos ingenieria

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    UNIVERSIDAD NACIONAL JORGE BASADRE

    GROHMANN

    FACULTAD DE INGENIERIA CIVIL, ARQUITECTURA Y 

    GEOTECNIA

    ESCUELA PROFESIONAL DE INGENIERIA GEOLOGICA –GEOTECNIA

    PRACTICA Nº 01

    CORRELACION ENTRE PERMEABILIDAD Y POROSIDAD

    MEDIANTE REGRESION SIMPLE

    AUTORES:

    Marusia Cruz

    Die! Ta"ur

     #$!%a&$a% Fer%'%(ez

    DOCENTE:

    P$) D) E(*i% Pi%!

    +01,

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    +

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    I%&r!(u--i.%La /ereai2i(a( 3 /!r!si(a( s!% /r!/ie(a(es (e u% a&eria24 e% es&e

    -as! (e r!-as ! sue2!s) P!r!si(a( re/rese%&a 2a -a%&i(a( (e es/a-i! e%&re2as /ar&5-u2as 3 u3 2ia(! se e%-ue%&ra 2a Pereai2i(a( 6ue es u%ae(i(a (e 2a "a-i2i(a( -!% 6ue e2 aua se (es/2aza a &ra78s (e es!s

    es/a-i!s) E2 !9e&i7! es (e e%-!%&rar u%a -!rre2a-i.% e(ia%&e e2 A%'2isis (eReresi.% Si/2e4 e&ra3e%(! (a&!s (e u%a Tesis 22aa(a: INTERPRETACIONY CORRELACION DE REGISTROS GEOFISICOS EN SONDEOS DE CAPTACION

    DE AGUAS SUBTERRANEAS PARA LA CARACTERIZACION HIDROGEOLOGICA Y 

    LA GESTION DE LA EXPLOTACION, APLICADA AL NOROESTE DE LA CUENCA

    DE MADRID.

    1) O9e&i7!)• E%-!%&rar e2 !(e2! 6ue e9!r (es-ria 2a re2a-i.% e%&re 2a

    /ereai2i(a( 3 2a /!r!si(a( e(ia%&e e2 8&!(! (e Reresi.% Si/2e)

    1)1Me&!(!2!5a)

    E2 siuie%&e i%"!re se as. e% (!s &i/!s (e i%7es&ia-i.%: Des-ri/&i7a 3Bi2i!r';-a) Rea2iza%(! e% 2a /ar&e Des-ri/&i7a 2a re-!/i2a-i.% e

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    i%&er/re&a-i.% (e (a&!s (e 2a &esis =INTERPRETACION Y CORRELACION DEREGISTROS GEOFISICOS EN SONDEOS DE CAPTACION DE AGUAS

    SUBTERRANEAS PARA LA CARACTERIZACION HIDROGEOLOGICA Y LA

    GESTION DE LA EXPLOTACION, APLICADA AL NOROESTE DE LA CUENCA DE

    MADRID” tomando omo t!ma !nt"a# #o$ dato$ o%t!n&do$ d! Pereai2i(a(

    3 P!r!si(a( e% u% s!%(e!4 es&!s "uer!% a/2i-a(!s Reresi.% Li%ea2 /arae%-!%&rar 2a -!rre2a-i.% e%&re s5) E% 2a /ar&e Bi2i!r';-a4 -!%su2&a%(! -!%2ir!s4 &esis e i%&er%e& s!re e2 &ea)

    +) As/e-&!s &e.ri-!s)

    A -!%&i%ua-i.% /rese%&are!s -!%-e/&!s "u%(ae%&a2es re2a-i!%a(!s a2/rese%&e &raa9!)

    +)1Pereai2i(a()

     Pr!/ie(a( (e 2!s &erre%!s /!r!s!s 3 /erea2es (e (e9ar /asar e2 aua"'-i2e%&e siuie%(! 2as 2e3es $i(r!s&'&i-as) Es 2a -a%&i(a( (e aua 6ue (e9a/asar u%a r!-a a &ra78s (e u%a se--i.% '(o#)m*t"&a+  e% u% &ie/!(e&eri%a(!) >D'7i2a4 +011?

    +)1)1 U%i(a(es)

    La @/ereai2i(a( i%&r5%se-a@ se i(e e% -+ ! +) La u%i(a( (eri7a(a (e 2aLey de Darcy es e2 (ar-34 3 $ai&ua2e%&e se u&i2iza e2 i2i(ar-3:

    C!%7ersi.%:

    La /ereai2i(a( (e Dar-3 se i(e4 e% -ai!4 e% u%i(a(es (e 7e2!-i(a(:-seu%(! ! seu%(!) >Me%(!za4 1?

    +)1)+ De&eri%a-i.% (e 2a Pereai2i(a()

    E% e2 2a!ra&!ri!4 2!s a%'2isis (e %-2e!s r!-!s!s -!%22e7a% a 2a es&ia-i.%(e 2a /ereai2i(a( $a-ie%(! /asar u% "2ui(! (e 7is-!si(a( -!%!-i(a a&ra78s (e2 %-2e!4 -u3as (ie%si!%es A 3 L &ai8% s!% -!%!-i(as) Lue! se(e&eri%a 2a &asa (e "2u9! 3 e2 ra(ie%&e (e /resi.% P)

    E/erie%&!s rea2iza(!s -!% u%a ra% 7arie(a( (e 256ui(!s (i"ere%&esi%(i-a% 6ue 2a =Le3 (e Dar-3 /ue(e ser e%era2iza(a -!! se ues&ra a-!%&i%ua-i.%: 

    ,

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    D!%(e H es 2a /ereai2i(a( i%&r5%se-a4 (P(L re/rese%&a e2 ra(ie%&e (e/resi.% 6ue /eri&e e2 !7iie%&! (e2 "2ui(! 3 es 2a 7is-!si(a( (e2 is!)

    Cua%(! 2a r!-a es&' -!/2e&ae%&e sa&ura(a -!% u% s!2! ui(!4 se $a2a (e/ereai2i(a( as!2u&a (e2 sis&ea4 2a -ua2 &e%(r' e2 is! 7a2!r4i%(e/e%(ie%&ee%&e (e 2a %a&ura2eza (e2 ui(!)M's a%4 /ara (!s ues&ras r!-!sas (e (ie%si!%es iua2es 6ue -!%&e%a%e2 is! &i/! (e ui(! 3 se e%-ue%&re% a9! 2a isa &e/era&ura 3 e2is! ra(ie%&e (e /resi.%4 2a &asa (e u9! (e/e%(e %i-ae%&e (e 2a/ereai2i(a(4 $a-i8%(!se a3!r a2 aue%&ar es&a 2&ia) P!r e%(e4 se%Me%(!za >1?: =La /ereai2i(a( es e2 "a-&!r -2a7e e i%(i-a&i7! (e 2a-!%(u-&i7i(a( (e ui(! e% 2as r!-as)

    La /ereai2i(a( es &ai8% u%a /r!/ie(a( a%is.&r!/a (e2 e(i! /!r!s!4/!r 2! &a%&! /ue(e 7ariar e% "u%-i.% a 2a (ire--i.% a 2a -ua2 es e(i(a) La/ereai2i(a( $!riz!%&a2 (e2 3a-iie%&! >J$? se !&ie%e a /ar&ir (e %-2e!s&!a(!s e% (ire--i.% /ara2e2a a2 u9! (e ui(!s (e%&r! (e (i-$! 3a-iie%&!4

    ie%&ras 6ue 2a /ereai2i(a( 7er&i-a2 >J7? se i(e e% %-2e!s &!a(!s/er/e%(i-u2are%&e res/e-&! a 2a (ire--i.% (e2 u9! >Curs! (e Pr!/ie(a(es(e 2a R!-a Ya-iie%&!4 U%i7ersi(a( Ce%&ra2 (e Ke%ezue2a4 Pr!") %e2 DaSi27a4 +011?)

    La Fiura 1)1 i2us&ra 2!s -!%-e/&!s (e /ereai2i(a( $!riz!%&a2 >J$? 3/ereai2i(a( 7er&i-a2 >J7? as!-ia(as a %-2e!s r!-!s!s &!a(!s e% u%3a-iie%&! $!!8%e!)

    Fiura 1)1) Pereai2i(a( $!riz!%&a2 >J$? 3 /ereai2i(a( 7er&i-a2 >J7?as!-ia(as a %-2e!s r!-!s!s) >M!(i;-a(! (e2 Curs! (e Pr!/ie(a(es (e 2aR!-a Ya-iie%&!4 U%i7ersi(a( Ce%&ra2 (e Ke%ezue2a4 Pr!") %e2 Da Si27a4+011 DaSi27a4 +011?)La /ereai2i(a( i%&r5%se-a es "u%-i.% (e2 &aa! (e 2!s /!r!s e% e2se(ie%&! %! -!%s!2i(a(!)

    De a-uer(! a Es/i%!za >+00,?:

    Mie%&ras 's /e6ue! es e2 &aa! (e 2!s se(ie%&!s4 's ra%(e es e2

    'rea su/er;-ia2 e% -!%&a-&! -!% e2 aua -!%&e%i(a e% 2!s /!r!s) Es&eaue%&! e% e2 'rea su/er;-ia2 /r!7!-a u% i%-ree%&! e% 2a resis&e%-ia

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    "ri--i!%a2 a2 u9!4 2! 6ue (isi%u3e 2a /ereai2i(a( i%&r5%se-a) E%se(ie%&!s ie% (is&riui(!s >es (e-ir %! $!!8%e!s? 2a /ereai2i(a(i%&r5%se-a es /r!/!r-i!%a2 a2 &aa! re/rese%&a&i7! (e2 se(ie%&!)

     Ta2a 1)1) Ka2!res &5/i-!s (e /ereai2i(a( i%&r5%se-a 3 -!%(u-&i7i(a($i(r'u2i-a e% se(ie%&!s %! -!%s!2i(a(!s) >T!a(! (e Es/i%!za4 +00,?)

    +)+P!r!si(a()

    Es 2a re2a-i.% eis&e%&e e%&re e2 7!2ue% (e 2!s i%&ers&i-i!s /!r!s!s 3 e27!2ue% (e 2a r!-a ! sue2!) La /!r!si(a( se e/resa sie/re e% /!r-e%&a9e)Eis&e% r!-as /!r!sas 3 /erea2es e% e2 -as! (e 2as "rae%&arias 3 %!/erea2es e% e2 -as! (e 2as 7!2-'%i-as 2'7i-as 3 2as ar-i22as) >D'7i2a4 +011?

    +)+)1 U%i(a(es)

    Si 2!s /!r!s 3 ;suras (e u% a&eria2 ra%u2ar se (e"!rara% $as&a 6ue

    (esa/are-iera%4 a2 ser es&e s!e&i(! a u%a ra% /resi.% $i(r!s&'&i-a4 se!&e%(r5a u% s.2i(! i(ea2 (e%!i%a(! a&riz r!-!sa) P!r 2! &a%&!4 e27!2ue% &!&a2 (e 2a r!-a es&' -!/ues&! /!r 2a sua e%&re e2 7!2ue% (e/!r!s 3 e2 7!2ue% (e 2a a&riz4 &a2 -!! se ues&ra e% 2a siuie%&ee/resi.%:

    La /!r!si(a( (e u% a&eria2 es u%a e(i(a (e 2a -a/a-i(a( (ea2a-e%aie%&! (e ui(!s 6ue /!see e2 is! 3 es&' (e;%i(a -!! 2are2a-i.% e%&re e2 7!2ue% &!&a2 !-u/a(! /!r 2!s /!r!s 3 e2 7!2ue% &!&a2 (e2

    s.2i(!4 2! 6ue se i2us&ra /!r e(i! (e 2a re2a-i.%:

    La /!r!si(a( (e u% a&eria2 es u%a e(i(a (e 2a -a/a-i(a( (ea2a-e%aie%&! (e ui(!s 6ue /!see e2 is! 3 es&' (e;%i(a -!! 2are2a-i.% e%&re e2 7!2ue% &!&a2 !-u/a(! /!r 2!s /!r!s 3 e2 7!2ue% &!&a2 (e2s.2i(!4 2! 6ue se i2us&ra /!r e(i! (e 2a re2a-i.%:

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    E2 7!2ue% (e es/a-i! (is/!%i2e /ara a2a-e%ar ui(! sie/re ser' e%!ra2 7!2ue% &!&a2 (e 2a r!-a4 /!r e%(e 2a /!r!si(a( es u%a "ra--i.%4e%era2e%&e e/resa(a e% &a%&! /!r u%!) N! !s&a%&e4 es u3 &i2 i2us&rar2a /!r!si(a( -!! u% /!r-e%&a9e (e2 7!2ue% &!&a2 (e 2a r!-a4 2! 6ue resu2&a(e u2&i/2i-ar 2a e-ua-i.% (e arria /!r 100) N! !s&a%&e4 es&a (e;%i-i.% %!ri%(a i%"!ra-i.% a-er-a (e 2a (is&riu-i.%4 i%&er-!%ei.% 3 &aa! (e2es/a-i! /!r!s! e% u%a r!-a4 2! 6ue i/2i-a 6ue (i"ere%&es &i/!s (e r!-as !e(i!s ra%u2ares /ue(e% &e%er /!r!si(a(es iua2es 34 a% as54 /rese%&ar/r!/ie(a(es "5si-as (i"ere%&es4 -!! 2a /ereai2i(a( >Me%(!za4 1?)

    Da(! 6ue 2a /!r!si(a( es u%a e(i(a (e 2a -a/a-i(a( (e a2a-e%aie%&!(e ui(!s (e u% sis&ea4 u%! (e 2!s /ar'e&r!s 's u&i2iza(!s /ara(e&eri%ar 2a -a2i(a( (e 2a r!-a 3a-iie%&! es4 /re-isae%&e4 2a /!r!si(a((e 2a isa) E% 2a Ta2a 1)+ se ues&ra 2a 7aria-i.% (e 2a -a2i(a( (e 2a r!-a3a-iie%&! e% "u%-i.% (e sus 7a2!res (e /!r!si(a()

     Ta2a 1)+) Ca2i(a( (e 2a r!-a 3a-iie%&! e% "u%-i.% (e su /!r!si(a()

    >M!(i;-a(! (e2 Curs! (e Pr!/ie(a(es (e 2a R!-a Ya-iie%&!4 U%i7ersi(a(Ce%&ra2 (e Ke%ezue2a4 %e2 Da Si27a4 +011?)

    +)

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    E2 ra(! (e2 /!2i%!i!  p   ( x)  se /ue(e es-!er /re7iae%&e -!%

    ase e% a2% resu2&a(! &e.ri-!4 a2u%a e/e-&a&i7a ! /!r 2a a/2i-a-i.% 6uese 2e /re&e%(a (ar a2 /!2i%!i!) E% -ua26uier -as! es&a!s =2ires (e e2eire2 ra(! 6ue /arez-a e9!r) E% u-$!s -as!s e2 ra(! ser' u%! 3 e2

    /!2i%!i! !&e%i(! se 22aar' 2a reca #$e %e&"r se a&$sa " 'a recade %(!i%"s c$adrad"s /ara 2a &a2a (e (a&!s)

    K!27ie%(! a 2a "u%-i.%a

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    Si e% 2as e-ua-i!%es a%&eri!res -a%-e2a!s e2 +4 (esarr!22a!s 2!s/ar8%&esis 3 usa!s 6ue

    O&e%e!s:

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    ( )( )   0xyxa.....xaxaa2aS

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    =−++++=∂

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    Es&e es u% SEN (e 1 e-ua-i!%es 2i%ea2es e% 2as 1 i%-.%i&as a 04 a14))4 a4 6ue se 22aa Sise%a de Ec$aci"!es N"r%a'es) Es&e sis&ea (ee-ua-i!%es %!ra2es se /ue(e es-riir e% "!ra si/2i;-a(a -!! siue:

    Es&as e-ua-i!%es se /ue(e% re/r!(u-ir a /ar&ir (e:

    Mu2&i/2i-a%(! a a!s 2a(!s /!r  x ji

    , j=0, 1, … , m ,

    Sua%(! s!re H

    >C$a/raCa%a2e4 +011?

    m0,1,....,. jconyxxan

    0k 

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    i   ==∑∑∑==

    +

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    ( )  k 

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    k m

    2

    k 2k 10k m  yxa,.....,xaxaax p   =+++=

     j

     jm

    k m

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    yxxa,.....,xaxaxa

    xyxxa,.....,xxaxxaxa

    =+++

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    m.,0,1,2,.... jconyxxa.....xaxaxam

    0k 

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    k 0   ==++++   ∑∑∑∑∑==

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    Gra;-! – 0r+? 3

    -!rre2a-i.%>r? &ie%(e% a 14 2! -ua2 si%i;-a 6ue e2 !(e2! es ./&i!)

    Gra;-! – 0,) Te%(e%-ia 2!ar5&i-a)C!! !ser7a!s e2 -!e;-ie%&e (e (e&eri%a-i.% >r+? 3 -!rre2a-i.% >r? es

    0)+,1+ 3 0),11 res/e-&i7ae%&e) Si%i;-a 6ue 2a &e%(e%-ia %! es 2aa(e-ua(a4 %! /!r sus 7aria2es) La e2e--i.% (e &e%(e%-ia "ue 2a i%-!rre-&a

    11

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    Gra;-! – 0) Reresi.% 2i%ea2)L!s -!e;-ie%&e (e (e&eri%a-i.% >r+? 3 -!rre2a-i.% >r? es&'% a2e9a(!s (e 1)L! 6ue si%i;-a 6ue 2a &e%(e%-ia e2ei(a /ara es&e -as! es 2a i%-!rre-&a)

    Gra;-! – 0) Reresi.% /!2i%!ia2 (e ra(! +)Nue7ae%&e 2!s -!e;-ie%&es (e (e&eri%a-i.% >r+? 3 -!rre2a-i.% >r? se

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    2a e/2!&a-i.%4 a/2i-a(a a2 %!r!es&e (e 2a -ue%-a (e Ma(ri()U%i7ersi(a( P!2i&8-%i-a (e Ma(ri()

    • D'7i2a Bura4 #!re >+011?: Di--i!%ari! Ge!2.i-!) INGEMMET)• Da Si27a R!(r5uez4 Me2ia Ree-a >+011?: A%'2isis (e 2as Re2a-i!%es

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     Ya-iie%&!) U%i7ersi(a( Ce%&ra2 (e Ke%ezue2a)Q) A%e! >W2&i!s &raa9!s s!re Pereai2i(a( 3 /!r!si(a()?

    • Da Si27a R!(r5uez4 Me2ia Ree-a >+011?: A%'2isis (e 2as Re2a-i!%esP!r!si(a( 3 Pereai2i(a( e% Se(ie%&!s N! C!%s!2i(a(!s)U%i7ersi(a( Si.% B!257ar)

    •  TABLA DE DATOS: SONDEO =SANTA ELENA – P!r!si(a( 7sPereai2i(a()

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