HHD Design Project

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    Kwesi Wells 1406940

    HORIZONTALDIRECTIONAL

    DRILLING DESIGN

    PROJECT 16CIVE 609

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    TABLE O CONTENTS1!0 P"#$e%& Des%"i'&i#(!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! )

    )!0 Re*e"e(%e+ D#%,-e(&s!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! .

    .!0 Desi/( C"i&e"i (+ Ass,-'&i#(s!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!.4!0 Desi/( e&2#+#l#/3!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!.

    !0 R#+ 53 R#+ Pl(!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4

    6!0 DR Sele%&i#(!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 6

    !0 B#"e C#(s&",%&i#( e&2#+#l#/3!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

    7!0 D"ill l,i+ (/e-e(&!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

    9!0 T##li(/ sele%&i#(!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 9

    10!0 C#(%l,si#(!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 10

    11!0 Re*e"e(%es!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 10

    11!0 A''e(+i8!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 11

    LIST O TABLE

    T5le 1 P"#$e%& S'e%i%&i#(s (+ G,i+eli(es!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)

    T5le ): A(/les (+ R+i,s #* C,";&,"e G,i+eli(es!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4

    T5le . Si-,l&i#( Res,l&s *#" O'e"&i#(l L#+s!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6

    T5le 4: Si-,l&i#( Res,l&s *#" I(s&ll&i#( L#+s!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

    T5le Res,l&s #* I-'%& #* R#lle"s (+ Blls& #( P,ll5%< l#+s *#" .0= Pi'e DR 9!

    T5le 6: D"ill Ri/ Re%#--e(+e+ S'e%i%&i#(s!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9

    1

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    1!0 P"#$e%& Des%"i'&i#(T2e '"#$e%& e(&ils &2e +esi/( #* *#," 2,(+"e+ >400? -e&e"s #* Hi/2 De(si&3

    P#l3e&23le(e >HDPE? 'i'e *#" sewe" ''li%&i#( ;i H#"i@#(&l Di"e%&i#( D"illi(/

    >HDD?! W#"10?+3s w2ile -#5ili@&i#( (+ +e-#5ili@&i#( is es&i-&e+ & ;e >? +3s! Desi/(s

    we"e %#-'le&e+ -&%2 &2e s'e%i%&i#(s (+ /e#&e%2(i%l i(*#"-&i#( '"#;i+e+

    53 &2e %lie(& i( T5le 1!0!

    BORE PATH CHARACTERISTICSPi'e S,"*%e Le(/&2 >-e&"es? 400

    De'&2 #* C#;e" >-e&"es? 10O,&si+e Di-e&e" >i(%2es? .0

    DRILL ROD CHARACTERISTICS

    D"ill R#+ Di-e&e" >i(%2es? 1!6)R#+ Le(/&2s >*ee&? 10GEOTECHNICAL INFORMATION

    SCS S#il T3'e Sil& >? LN#! #* L3e"s 1

    De'&2 >-e&"es? )0!00D"3 S#il (i& Wei/2& >-e&"es? 6 -

    EXISTING UTILITIESGs Li(e Di-e&e" .0 70 - *"#- 'i'e e(&"3 '#i(& - 5el#w

    /"#,(+ le;elReF,i"e+ %le"(%e 1

    W&e" Li(e Di-e&e" .4 1)0 - *"#- 'i'e e(&"3 '#i(& 7- 5el#w

    /"#,(+ le;elReF,i"e+ %le"(%e 1

    Table 1 Project Specifcations and Guidelines

    )!0 Re*e"e(%e+ D#%,-e(&s

    All +esi/( w#"

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    1! ASTS 196)11 S&(+"+ G,i+e *#" se #* 8iH#"i@#(&l Di"e%&i#(l

    D"illi(/ *#" Pl%e-e(& #* P#l3e&23le(e Pi'e #* C#(+,i& (+e" O5s&%les

    I(%l,+i(/ Ri;e" C"#ssi(/s!)! Pls&i%sPi'e I(s&i&,&e H(+5##< C2'&e" 1) H#"i@#(&l Di"e%&i#( D"illi(/

    .!0 Desi/( C"i&e"i (+ Ass,-'&i#(s

    1! N# li;e l#+s (+ i(&e"(l '"ess,"e we"e %#(si+e"e+!)! Desi/( li*e %3%le #* 'i'e is *&3 >0? 3e"s!.! R+i,s #* C,";&,"e s2#,l+ 5e -#"e &2( 1)00 OD #* +"ill "#+!4! B#"e O,&si+e Di-e&e" Pi'e OD 1)! Bi(/2- #+el ws ,se+ %l%,l&e ((,l" *"i%&i#( '"ess,"e l#ss!6! %" #* S*e&3 )! Pi'e #+,l,s #* Els&i%i&3 )7)00 'si7! S*e W#"

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    9! Re%#--e(+ (+ sele%& EF,i'-e(& (+ T##li(/!

    !0 R#+ 53 R#+ Pl(I( *#ll#wi(/ 5es& '"%&i%es &2e (/le (+ e8is& (/les we"e sele%&e+ e(s,"e

    li-i&e+ s&"ess w#,l+ 5e i(+,%e+ +,"i(/ %#(s&",%&i#(! T2e 5#"e w#,l+ 5e i(i&i&e+,si(/ ( e(&"3 (/le #* ei/2& >7? +e/"ees (+ 5e %#-'le&e+ wi&2 ( e8is& (/le #*

    &e( >10? +e/"ees! T2is '"#+,%e+ "es#(5le e(&"3 (+ e8is& "+i,s #* %,";&,"es #*

    10)6 (+ 6 -e&e"s "es'e%&i;el3! All &2ese '"-e&e"s -e& &2e i(+,s&"3

    "e%#--e(+&i#(s s s2#w( i( &2e T5le )!0:

    Bore Parameters Recommendations Acta! Desi"nE(&"3 A(/le Al'2 10 7E8is& E(&"3 Be& 71 10

    R+i,s #* C,";&,"e E(&"3

    >-e&e"s?

    0 10)6

    R+i,s #* C,";&,"e E8is&

    >-e&e"s?

    0 6

    Table 2: Angles and Radius o Curvature Guidelines

    4

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    T2e "#+ 53 "#+ 'l( ws &2e( +"*&e+ ,si(/ &2ese e8is& (+ e(&"3 (/les! A +"*& 'l#&

    is '"ese(&e+ 5el#w i( i/,"e 1!

    0 )00 400 600 700 1000 1)00 1400

    40

    .

    .0

    )

    )0

    1

    10

    0

    ROD BM ROD PLAN

    DISTANCE >EET?

    DEPTH >EET?

    Figure 1: Rod b Rod Plan Plot

    A &l (,-5e" #* 1.) "#+s w#,l+ 5e "eF,i"e+ *"#- '"#$e%&! De&il %##"+i(&es *#"

    e%2 "#+ "e '"ese(&e+ i( A''e(+i8 #* &2is "e'#"&! All i+e(&ie+ #5s&%les we"e

    ;#i+e+ (+ %le"(%es "es'e%&e+! T2e 5#"e '&2 ",(s & les& 70 *ee& *"#- &2e /s

    li(e (+ 1 *ee& *"#- &2e w&e" li(e! iel+ i(*#"-&i#( s2#,l+ 5e %#("-e+ 5e*#"e

    %&,l i(s&ll&i#( %#--e(%es! T#&l le(/&2 #* 5#"e ws -i(&i(e+ & 1.1) *ee&

    >400 -e&e"s?

    L4469!7 *& L.466!. *&

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    6!0 DR Sele%&i#(Wi&2 &2e 5#"e (/les %#("-e+ &2e (e8& '2se ws sele%& &2e #'&i-,- 'i'e DR!

    T2is +esi/( w#,l+ i(%#"'#"&e &2"ee >.? C#ll'se? 170

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    P!!0ac*

    Stress $(si&

    ned

    Co!!a(se

    Stren"t)

    $(si&

    !. 47!0 Pss )!6 Pss9!0 9!0 Pss .4!11 Pss11! .)!0 Pss 16!7 il1.!0 906!0 Pss !77 il

    Table %: Si"ulation Results or &nstallation $oads

    1All#w5le 8i-,- P,ll5%< S&"ess ws se& & 110 'si)i(i-,- ,(%#(s&"i(e+ %#ll'se s&"e(/&2 )1!.. 'si >PD?

    (+e" i(s&ll&i#( l#+s DR !. (+ 9!0 'e"*#"-e+ e8%elle(& i( 5#&2 s%e("i#s! W2ile

    DR 11! (+ 1.!0 5#&2 'sse+ &2e ',ll5%< l#+s &es& 5,& *ile+ &2e ,(%#(s&"i(e+

    %#ll'se s&"e(/&2 &es&! T2e (l +e%isi#( ws '"#%ee+ wi&2 DR 9!0 si(%e i& w#,l+

    5e &2e esie" 'i'e w#"< wi&2 (+ less %#s&l3! ,"&2e" (l3sis w#,l+ 5e +#(e

    #5se";e i&s 'e"*#"-(%e ,(+e" +ie"e(& %#(s&",%&i#( -e&2#+#l#/ies!

    !0 B#"e C#(s&",%&i#( e&2#+#l#/3Die"e(& i(s&ll&i#( -e&2#+#l#/ies ws e8'l#"e+ l##< & &2e i-'%& #( &2e

    ',ll5%< l#+s #( .0 'i'e DR 9!0! T2e i(s&ll&i#( w#,l+ 5e %#(si+e"e+ i(

    *#ll#wi(/ *#," s%e("i#s:

    1! N# R#lle"s (+ N# Blls&)! Wi&2 R#lle"s (+ (# Blls&.! Wi&2 R#lle"s (+ 5lls&4! N# R#lle"s (+ wi&2 5lls&

    All s%e("i#s we"e ",( i( &2e si-,l&i#( /e& &2e 5es& -e&2#+#l#/3 5e ,se+ *#"

    i(s&ll&i#(! T2e "es,l&s "e '"ese(&e+ 5el#w i( T5le 5el#w:

    Pi(e

    Sections

    No Ro!!ers

    and No

    Ba!!ast $!0s&

    ,it) Ro!!ers

    and No

    Ba!!ast $!0s&

    ,it) Ro!!ers

    and Ba!!ast

    $!0s&

    No Ro!!ers

    and 1it)

    Ba!!ast $!0s&TA 9.64 169 169 9.64TB 1)944 066 41466 994TC 14.9 111) 967 7996TD 171.. 147117 6947 96.

    Table ' Results o &"pact o Rollers and (allast on Pullbac) loads or !*+ Pipe ,R -

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    si(/ %#(s&",%&i#( -e&2#+#l#/3 wi&2 "#lle" (+ 5lls& &2e les& -#,(& #*

    ',ll5%< l#+ #( &2e 'i'e #%%,""e+! T2e 5lls& %#(si+e"e+ +,"i(/ +esi/( ws w&e"!

    T2e #'&i#( #* &2e 5lls& %( 5e %2(/e+ i* +esi"e+ 5,& %l%,l&i#(s w#,l+ 5e

    "ew#"

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    9!0 T##li(/ sele%&i#(A +"ill "i/ -&%2i(/ &2e 5el#w s'e%i%&i#(s s2#,l+ 5e ,se+ +,"i(/ &2e i(s&ll&i#(

    s&/e:

    Parameters Recommended Ri"

    S(eci3cations

    Ma/imm Limits

    T2",s& P,ll5%< >l5s? 100000 700008 D"illi(/ P"ess,"e >'si? 1100 'si

    8i-,- P,-' C'%i&3 l#w

    >L-i(?

    70 6

    Table .: ,rill Rig Reco""ended Specifcations

    A s'e%il "eF,es& w#,l+ 2;e 5e -+e si(%e -#s& #* &2e -e+i,- "i/s "e

    #,&&&e+ wi&2 )0 *ee& "#+s (+ . 4 i(%2es +"ill "#+s! Si(%e &2e '"#$e%& %lls *#" 10

    *ee& "#+s (+ 1!6)! A s'e%il #,&&&i(/ w#,l+ 2;e 5e +#(e -&%2 &2e

    '"#$e%& "eF,i"e-e(&s! A "e%#--e(+e+ +"ill "i/ *#" &2e $#5 is Ve"-ee" D1008140

    1! T2is "i/ w#,l+ 5e 5le -ee& &2e '"#$e%& "eF,i"e-e(&s! T2is -e+i,- "i/ -,s&

    5e ,se+ i( ss#%i&i#( wi&2 "#lle"s (+ 5lls& #" #(l3 5lls& #(l3! I* &2ese i+s "e

    (#& /#i(/ 5e ,se+ l"/e" "i/ w#,l+ 5e (ee+e+!

    S,'e"e-e"s +esi/( -#+el s2#,l+ 5e ,se+ s &2is w#,l+ ll#w e8%e'&i#(l -i8i(/

    %&i#(! T2is &3'e #* "e-e" %#,l+ 5e ,se+ #( Ve"-ee" D1008140! N# i(&e/"&i#('"#5le-s s2#,l+ #%%,"! Als# "eF,i"e+ "e-i(/ si@es "e ;il5le #( &2e -"

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    10!0 C#(%l,si#(T2e '"#$e%& %#,l+ 5e e8e%,&e+ wi&2i( 1 +3s ,si(/ '"#+,%& 'i'e #* .0 OD & DR

    9! A -e+i,- "i/ %#,l+ 5e ,se+ wi&2 &2e ssis&(%e #* "#lle"s (+ 5lls&s %2ie;e

    &2is 5#"e! T2is w#,l+ "e+,%e &2e i(s&ll&i#( %#s&! T2e +esi/( s2#,l+ 5e 'ee""e;iewe+ 5e*#"e (l ''"#;l is %#(s&",%&i#( %#--e(%es! All #w(e"s #* 5,"ie+

    'i'eli(es s2#,l+ 5e i(*#"-e+ #* &2e i-'e(+i(/ w#"

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    11!0 A''e(+i8

    ROD B4 ROD CORDINATES FOR ENTIRE BOREPATH

    11

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    Table/: ,rill

    Rig

    1)

    Rod

    Nm0er

    An"!e Radians X

    Coordinate

    s

    4

    Coordinate

    s0!000 10!000 0!1 9!747 1!.6

    1!000 9!. 0!10 19!04 .!4)7

    )!000 9!44 0!16 )9!67 !04

    .!000 9!)11 0!161 .9!4.9 6!64

    4!000 7!947 0!16 49!.1 7!).0

    !000 7!674 0!1) 9!)0) 9!40

    6!000 7!4)1 0!14 69!09 11!)04

    !000 7!17 0!14) 7!99. 1)!6).7!000 !79 0!1.7 77!799 1.!99

    9!000 !6.) 0!1.. 97!710 1!.)

    10!000 !.69 0!1)9 107!) 16!60

    11!000 !106 0!1)4 117!61 1!744

    1)!000 6!74. 0!119 1)7!9 19!0.6

    1.!000 6!9 0!11 1.7!14 )0!171

    14!000 6!.16 0!110 147!4. )1!)7)

    1!000 6!0. 0!106 17!.9 ))!..6

    16!000 !90 0!101 167!.46 ).!.4

    1!000 !) 0!096 17!.00 )4!.0717!000 !)64 0!09) 177!) )!))6

    19!000 !001 0!07 197!)19 )6!09

    )0!000 4!.7 0!07. )07!17 )6!9).

    )1!000 4!44 0!07 )17!1 )!0.

    ))!000 4!)11 0!04 ))7!1)7 )7!4.7

    ).!000 .!947 0!069 ).7!104 )9!1)6

    )4!000 .!67 0!064 )47!07. )9!69

    )!000 .!4)) 0!060 )7!06 .0!.66

    )6!000 .!19 0!0 )67!00 .0!91

    )!000 )!796 0!01 )7!0. .1!4)))7!000 )!6.. 0!046 )77!0) .1!771

    )9!000 )!.69 0!041 )97!017 .)!)9

    .0!000 )!106 0!0. .07!01) .)!66)

    .1!000 1!74. 0!0.) .17!006 .)!974

    .)!000 1!70 0!0)7 .)7!00. ..!)60

    ..!000 1!.1 0!0). ..7!000 ..!479

    .4!000 1!04 0!017 .4!997 ..!6.

    .!000 0!91 0!014 .!99 ..!711

    .6!000 0!)7 0!009 .6!99 ..!90.

    .!000 0!)64 0!00 .!99 ..!90

    .7!000 0!001 0!000 .7!99 ..!90

    .9!000 0!000 0!000 .9!99 ..!90

    40!000 0!000 0!000 40!99 ..!90

    41!000 0!000 0!000 41!99 ..!90

    4)!000 0!000 0!000 4)!99 ..!90

    4.!000 0!000 0!000 4.!99 ..!90

    44!000 0!000 0!000 44!99 ..!90

    4!000 0!000 0!000 4!99 ..!90

    46!000 0!000 0!000 46!99 ..!90

    4!000 0!000 0!000 4!99 ..!90

    47!000 0!000 0!000 47!99 ..!90

    49!000 0!000 0!000 49!99 ..!90

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    Reco""ended Specifcations

    BORE

    PLAN

    CALCUATTIONS

    1.

    INPUT DATA

    Bore S(ecs Meters Feet

    Pi'e S,"*%e Le(/&2

    >-?

    400 1.1)

    De'&2 #* C#;e" >-? 10 .9.!O,&si+e Di-e&e"

    >i(%2?.0 0!6)

    D"ill R#+ OD >i(%2es? 1!6) 0!041)

    D"ill R#+ L >i(%2es? 10

    An"!es De"rees Radians

    B#"e E8i& A(/le >Al'2? 7 0!1.96.

    B#"e E(&"3 A(/le >Be&? 10 0!14.

    OUTPUT DATAR+i,s #* C,";&,"e

    Pi'e E(&"3 >-? Ri( 10)!76974

    Pi'e E8i& >-? R#,& 66!61)

    Pi'e Se%&i#(s Le(/&2s >-? Le(/&2s >*ee&?

    L) E(&"3 14.!)4 469!7

    L4 E8i& 114!9 .!9

    L. H#"i@#(&l 14)!1 466!.

    T#&l 400!00 1.1)!00

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    EARTH LOAD CALCULATIONS

    INPUT DATA

    S#il L3e" 1!00

    De'&2 )0!00

    (i& Wei/2& #* S#il >+"3? >s&? >"#- G"'2? 0!7

    P#iss#( R&i# - 0!4

    DR 9!00

    OUTPUT DATA

    E"&2 L#+s

    W&e" P"ess,"e >'si? 40!06

    C#ll'se S&"e(/&2 >

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    INPUTS 5ARIABLES

    OD >i(%2es? .0!000

    DR 9!000

    E"&2 P"ess,"e >'si? )7)00

    #+,l,s #* Els&i%i&3 >'? 194!4.)W&e" De(si&3 >l5s*&.? 6)!400

    P#iss#( R&i# 0!40

    R+i,s #* C,";&,"e Pi'e E(&"3 >-? 10)!7

    R+i,s #* C,";&,"e Pi'e E8i& >-? 66!61

    (i& Wei/2& #* G"#,(+ W&e"

    >-? 0!6)OD >--? 6)!000

    E"&2 P"ess,"e >'si? )0!467

    W&e" De(si&3 >l5si(.? 0!0.6

    &2i%i(%2? .!...

    &2i%--? 74!66

    #-e(& #* i(e"&i >i(%2.? .!076

    R+i,s #* C,";&,"e Pi'e E(&"3

    >i(%2es?

    40.77!79

    R+i,s #* C,";&,"e Pi'e E8i&>i(%2es?

    )747!70

    @ 0!00000)0791.).)C#(s&(& A 0!66

    C#(s&(& B 0!)6

    OUTPUTS

    E"&2 L#+ Dee%&i#( 0!04

    B,#3(& Dee%&i#( 0!00)46

    Reiss(e" Ee%& 0!000001.9061110991190

    Ne& Dee%&i#( !7)

    All#w5le Ri(/ Dee%&i#( !0

    1

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    ,ALL COMPRESSI5E STRESS CALCULATIONS

    16

    In(ts 5aria0!es

    E"&2 P"ess,"e >i(%2es? .0

    DR 9

    & >i(%2es? .!.........C#(;e"si#(s (+ C#(s&(&s

    E"&2 P"ess,"e >'s*? )94!.711)1

    Ot(ts

    Wll C#-'"essi;e S&"ess >'si? 9)!1066004

    All#w5le C#-'"essi;e S&"ess >'si? 110

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    1

    PULLBAC6 LOAD CALCULATIONS

    I(',&s V"i5les -e&"es *ee&

    L1 >-? 60 196!704

    L) >-? 14.!).94477 469!941

    .1L. >-? 14)!1 466!4..1

    6.L4 >-? 114!9 .!96

    0De'&2 #* C#;e" >-? 10 .)!7074

    OD >i(%2es? .0 6)DR 9

    B#"e E8i& A(/le

    >Al'2?

    0!1.96)6.4

    B#"e E(&"3 A(/le

    >Be&?

    0!14.)9)

    V >(# "#lle"s? 0!

    V >"#lle"s? 0!1

    V5 0!.

    W&e" De(si&3

    >l5si(.?

    0!0.61))9 0!0000097

    1

    Pi .!14)S!G #* Pi'e M 0!9

    S!G #* ,+ Sl,""3

    M5

    1!

    S!G #* Blls& l,i+>w&e"? M%

    1

    C#(;e"si#(s (+

    C#(s&(&sW >l5*i(? 9!6.90)90) 1!676)7.0

    07

    W >l5**&? 11!6.07.47

    N# Blls&

    W5 >l5si(? )7!64.76

    W5 >l5s*&? .44!09)4.)

    Wi&2 Blls& >lle+?

    W5 >l5si(? 1.!))414161

    W5 >l5s*&? 17!6796994

    O,&',&s N# R#lle"s N#Blls&

    R#lle"s N# Blls&

    R#lle"s Blls&

    N# R#lle"s Blls&

    T 9.6.!41 1696!)) 1696!)) 9.6.!41

    T5 1)94.!47 06!6 4146!7 994.!

    T% 14.7!41 1111!46 967!11 799!0

    T+ 171.)!0 14711!0) 694! 96)!6.

    H3+"#

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    UNCONSTRAINED COLLAPSE STRENGTH CALCULATIONS

    Unit ,ei")t o7 Md $*N8m.& '9:;'Psi? )1!..0).

    17

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    DRILL FLUID CALCULATIONS

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