note for directional drilling calculation

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  • 8/15/2019 Note for Directional Drilling Calculation

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    Katm pcbkkekd iar hermgteakbc hreccekd

    gbcgucbteak

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    2 | ̂ b d m

    Iukhbfmktbc ai pcbkkekd hermgteakbc wmccoarm

    ^cbkkekd

    ^cbkkekd wmcc es b tbsl tjbt ekvacvms fbky hesgepcekms, pmapcm dmkmrbccy

    bssufm tjbt pcbkkmh hermgteakbc wmccs rmquerm akcy b imw dmafmtry

    gbcgucbteaks bs bk bhheteakbc bhhetevm ai gaffak tbsls, out bcfast mvmry

    bspmgt ek tjm pcbkkekd ai wmccs biimgtmh wjmk b hermgteakbc wmccs pcbkkmh

    Ecustrbteak 2.>

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    ? | ̂ b d m

    Tmcc ^raiecms bkh Xmrfekacady

    Xa ibgecetbtm ukhmrstbkhekd ai tjm praiecm typm Hermgteakbc wmccs jach bkh Hrap

    Ouech omttmr lkawk bs tjm "W" wmcc efbdms gbk ibgecetbtm tjm eccustrbteak 2.>

    - Legl ai ^aekt (LA^) es tjm omdekkekd ai Wmgteak Ouech up, Ouech up tjm

    Wmgteak aitmk hmsedkmh ak Ouech-up _btm (O]_) ta aotbek b gakstbkt

    bkdcm hrecc jacms brm mxpmgtmh ar tjm mkh ai tjm Ouech tjm tbrdmt

    cagbteak (MAO).

    - O]_ usubccy spmgeiemh ek hmdrmms pmr jukhrmh immt ("/ 2>> it) wjegj

    ibgecetbtms tjm gbcgucbteak ai tjm gjbkdm ek bkdcm ek tjm Fmbsurm Hmptj(FH) wjegj es omekd hreccmh, tjm jacm ar tjm ekgcekbteak bkdcms brm

    bcwbys spmgeiemh ek hmdrmms iraf vmrtegbc wmcc oarm, tjm hermgteak ar

    Bzefutj iraf wmccs ek fmkteakmh wetj rmdbrh ta b iemch usubccy trum

    kartj, tjm cagbteak ai b paekt ek tjm wmcc es dmkmrbccy sjawk ek b

    Gbrtmsebk hmdrmms wetj tjm red bs b cagbteak hmtmrfekbkt.

    - Xrum Ymrtegbc Hmptj es usubccy sjawk bs b vmrtegbc hestbkgm omcaw tjm

    red.- Mkh ai Ouech (MAO) es hmiekmh oy gaarhekbtms bkh XYH, MAO

    spmgeiegbteak bcsa gaktbeks tjm bkdcm bkh hermgteak ai tjm wmcc bt tjbt

    paekt, tjm prapmr bkdcm bkh hermgteak es grugebc ek mkbocms b tbrdmt wbs

    aotbekmh, bcsa kmmhmh ta pmkmtrbtm pby zakm bt tjm aptefuf bkdcm ta

    tjm kmmhs prahugteak.

    - Hmpbrturm ar Ymrtegbc Wmgteak es tjm hestbkgm omtwmmk twa paekts ek tjm

    survmy tjbt pra`mgtmh ekta tjm jarezaktbc pcbkm< Hmpbrturm es tjmhestbkgm omtwmmk twa paekts ai tjm pra`mgtmh survmy cagbteaks ek tjm

    jarezaktbc pcbkm.

    - Xbkdmkt Wmgteak sjawk bitmr tjm Ouech smgteak, tjm usmiuckmss ai tjm

    tbkdmkt es ta lmmp tjm bkdcm bkh hermgteak uktec tjm tbrdmt es rmbgjmh,

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    7 | ̂ b d m

    tjm Wmgteak Hrap efbdms brm sjawk bs tjm mkh ai tjm tbkdmkt, tjm

    usmiuckmss ai Wmgteak Hrap usubc ta pcbgm tjm wmccs hreccmh ek tjm

    rmsmrvaer wetj b fbxefuf aremktbteak wetj rmdbrh ta pmrfmboecety

    iarfbteaks ar ek-setu iarfbteak prmssurm< bs bk bctmrkbtevm, jarezaktbc

    mxpbkseak gbk om pmriarfmh ek gbsms wjmrm tjmrm es b cat pby zakm

    vmrtegbc irbgturm ar wja jbvm tjm patmktebc ai dbs ar wbtmr gakekd,

    ibgtar ek tjm hmsedk ai tjm wmcc es tjm lmy ta tjm hmsedk gafpcmteak bkh

    rmsmrvaer hrbekbdm bs wmcc bs iurtjmr prahugteak, ek jarezaktbc wmccs.

    XYH pcbgmfmkt wecc fekefezm tjm prahugteak ai dbs ar wbtmr gakekd, ek

    iarfbteak wetj b vmrtegbc irbgturm wjmrm tjm irbgturm wauch praobocy jmcp tjm

    icaw ai jyhragbroaks, tjm hermgteak ai tjm trb`mgtary ai wmccs ek tjm rmsmrvaer

    gbk om smcmgtmh iar guttekd fuctepcm irbgturms, bctmrkbtevmcy, gbk bcsa om

    pcbgmh ak tjm hermgteak ai tjm wmcc trb`mgtary ta bvaeh tjm brmbs ai ibuct wjegj

    es mxpmgtmh ta bccaw fedrbteak ai wbtmr, aptefbc pcbgmfmkt ai wmccs hreccmh ek

    tjm rmsmrvaer wecc rmsuct ek fbxefuf prahugteak bkh es b daah ierst stmp ek

    tjm pcbkkekd ai wmccs

    ^cbkkekd Hermgteakbc wmccs wetj b sekdcm mqubteak

    Ektmrpacbteak gbcgucbteak sjaws tjm pcbkkekd ai hermgteakbc wmccs es vmry

    heiieguct omgbusm et rmquerms b cat ai sefecbretems bs wmcc bs tjm usm ai tjm

    Ouech-up gjbrt, ta ibgecetbtm pcbkkekd Hermgteakbc wmccs gbk om usmh ta

    gbcgucbtm tjm mqubteak Teddeks jach Ekgcekbteak

    Iedurm 2.> gbk mxpcbek tjm typm ai hermgteakbc wmccs ek tjm dmafmtry bkh

    vbreaus pbrbfmtmrs gbk om hmtmrfekmh usekd tjm sefecbrety ai tjm dmafmtry

    pbrbfmtmrs brm0

    ---------------------------------------------------------------------------------------------------------------------- (2.2)

    ................................................................................................................................................. (2.?)

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    8 | ̂ b d m

    ........................................................................................................................................... (2.7)

    .......................................................................................................................... (2.8)

    ...................................................................................................................................... (2.=)

    , - ...................................................................................................................... (2.9)

    > 2 ........................................................................................................................... (2.4)Iraf tjes mqubteak hevehm ekta

    Xypm Ouech bkh jach trb`mgtary

    Xjes typm es tjm fast gaffak typm ai hermgteakbc wmccs wjmrm tjmrm es akcy

    akm garkmr ai tjm mstbocesjfmkt (r 2 ), bkh tjmk tjm bkdcm es fbektbekmh ekarhmr ta bgjemvm b prmhmtmrfekmh tbrdmt paseteak bcakd tjm Hmpbrturm (HM^ 7 )

    Eccustrbteak ? ouech bkh jach typm

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    = | ̂ b d m

    Xjm gbcgucbteaks brm hakm ak tjes typm brm0

    - Gbcgucbteak ai tjm eketebc trb`mgtary bkdcm iarfbteak (r 2 )

    Xjes gbcgucbteak ekvacvms hmtmrfekekd tjm Legl ai ^aekt (LA^) wetj

    Ouech-up rbtm tjbt jbs ommk pcbkkmh.

    - Ouech up tjm cmkdtj ai tjm trb`mgtary gbcgucbteak smgteak

    ouech up tjm cmkdtj ai tjm trb`mgtary gbcgucbteak smgteak es ektmkhmh tjbt

    tjm wmcc jbs hermgteak rmfbeks ak tbrdmt sa tjbt tjm iekbc bkdcm (r tbrdmt )

    gbk om iarfmh.

    - Jach tjm cmkdtj trb`mgtary gbcgucbteak tjm gbcgucbteak ai pbtj cmkdtj ai

    tefm tjm jach es sa tjbt hreccekd gbk om gbcgucbtmh gbrmiuccy sa tjbt tjm

    gast ekvacvmh gbk om fekefezmh.

    - Gbcgucbteak ai Hmpbrturm (HM^7) tjm gbcgucbteak es ektmkhmh ta iekh aut

    jaw ibr b tbrdmt ai hreccekd tjm eketebc paseteak.

    Ouech jach bkh hrap trb`mgtary

    Hermgteakbc wmccs ai tjes typm es quetm heiieguct omgbusm kat akcy fbektbektjm bkdcm iarfmh bcakd tjm jach, out bcsa gjbkdm tjm obgl bkdcm Jach tjm

    garkmr Hrap tjmk fbektbek et uktec et rmbgjms tjm tbrdmt paseteak bcakd tjm

    Hmpbrturm (HM^ 8 ), usubccy usmh wjmk haekd tjes typm ai sbct hafm hreccekd

    brmb ar bvaeh iesj (sehm trbglekd)

    Xjm gbcgucbteaks brm hakm ak tjes typm brm0

    - Ouech bkdcm gbcgucbteak (r 2 )

    Xjes gbcgucbteak ekvacvms hmtmrfekekd tjm legl ai paekt (LA^) wetjOuech-up rbtm tjbt jbs ommk pcbkkmh

    - Ouech up tjm cmkdtj ai tjm trb`mgtary gbcgucbteak smgteak

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    9 | ̂ b d m

    Ouech up tjm cmkdtj ai tjm trb`mgtary gbcgucbteak smgteak es ektmkhmh tjbt

    tjm wmcc jbs hermgteak rmfbeks ak tbrdmt sa tjbt tjm iekbc bkdcm (r tbrdmt )

    gbk om iarfmh

    - Jach tjm cmkdtj trb`mgtary gbcgucbteak

    Xjm gbcgucbteak ai pbtj cmkdtj ai tefm tjm jach es sa tjbt hreccekd gbk om

    gbcgucbtmh gbrmiuccy sa tjbt tjm gast ekvacvmh gbk om fekefezmh

    - Hrap bkdcm gbcgucbteak (r ? )

    Bkdcm gbcgucbteak es hakm omgbusm tjm wmccs brm mxpmgtmh ta bvaeh tjm

    praocmfs tjbt mxest ek tjm pragmss ai hreccekd bs wmcc bs bvaehekd tjm

    dmacadegbc praocmf

    - Gbcgucbteak ai Hmpbrturm (HM^8)

    Xjm gbcgucbteak es ektmkhmh ta iekh aut jaw ibr b tbrdmt ai hreccekd tjm

    eketebc paseteak

    Eccustrbteaks 7 ouech jach bkh hrap

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    4 | ̂ b d m

    Bitmr b wmcc es gafpcmtmh pcbkkmh tjm kmxt stmp es tjm efpcmfmktbteak ai

    survmys ak hreccekd trb`mgtary tjbt jbs ommk iarfmh, tjm pragmss es ektmkhmh

    ta fekefezm tjm passeoecety ai b fessmh tbrdmt ai tjm eketebc pcbk hum ta

    praocmfs bresekd ek tjm pragmss ai hreccekd bs tjm prmsmkgm ai ibucts ek tjm

    brmb tjbt gbusms tjm wmcc trb`mgtary gjbkdmh scapm bkh paseteak ai Kartjekd,

    Mbstekd bkh Bzefutj

    Wurvmy

    Wurvmy ak hermgteakbc hreccekd es ta gafpbrm tjm pcbkkmh trb`mgtary ta tjm

    pbtj es iarfmh< tjmrmiarm tjmrm brm safm pbrbfmtmrs ek tjm survmy wjegj es

    usmh bs rmimrmkgm ekgcuhm0

    - Xjm hmptj ai vmrtegbc wmccs (XYH)

    - Xjm scapm ai tjm trb`mgtary (Ekgcekms)

    - Gaarhekbtms kartj (Kartj)

    - Gaarhekbtms mbst (Mbst)

    - Hermgteak ai tjm trb`mgtary iarfmh (Bzefutj)

    Xjes pbrbfmtmr es tjm sbfm bs tjm pbrbfmtmrs usmh ek pcbkkekd tjm

    trb`mgtary ai b wmcc, omgbusm tjm iekbc rmsucts wmrm rmbh ek tjm trb`mgtary

    fbppekd tjm hmptj ai tjm wmccs brm vmrtegbc wmccs rbkdm ai Ymrtegbc Wmgteak

    Yemw bkh Wmgteak ek tjm kartj bkh mbst ak tjm ^cbk Yemw

    Xjmsm ievm pbrbfmtmrs brm gbcgucbtmh ek twa heiimrmkt survmy cagbteaks brm

    dmkmrbccy wetjek tjerty ar b jukhrmh ybrhs, tjm gbcgucbteak ai tjm boavm

    pbrbfmtmrs brm usmiuc ta lkaw jaw oed tjm gjbkdms tjbt aggur hurekd b

    smrems ai iarfbteaks tjraudj wjegj hreccekd mquepfmkt jbs ets awk gjbrbgtmr,

    sa tjm trb`mgtary hmicmgtmh iraf ets aredekbc pcbk bkh bccaw praocmfs sugj bs

    ekgrmbsm tjm ourhmk Hrbd, Lmy Wmttekds, hadcmd, ^epm Wteglekd bkh kat

    bgjemvekd tjm pcbkkmh tbrdmt paekt

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    : | ̂ b d m

    Bitmr tjm survmy hbtb aotbekmh bt twa stbteaks, tjmk tjm fbppekd aotbekmh wjecm tjm

    wmcc ek Wmgteak Yemw bkh ^cbk Yemw, iraf tjm paekt ai tjes cbst survmy wbs fbhm rm-

    pcbkkekd wjmk tjm trb`mgtary hmvebtms iraf tjm wmccs wjegj iarfmh tjm eketebc

    pcbkkekd sa tjbt praocmfs tjbt fedjt aggur ek hreccekd gbk om bvaehmh

    ek hermgteakbc hreccekd survmy tjmrm brm smvmrbc fmtjahs usmh brm0 tbkdmktebc,

    Bvmrbdm Bkdcm, Obcbkgm tbkdmktebc, Fmrgury, _bheus ai gurvbturm, Fekefuf ai

    gurvbturm

    bctjaudj tjm gurrmkt gbcgucbteak ai tjm survmy wecc om hakm usekd b gafputmr

    pradrbf out tjm obseg gbcgucbteak es tjm eketebc fmtjah tjbt jbs b jedj bggurbgy

    bfakd atjmr fmtjahs brm Fekefuf ai gurvbturm.

    Fekefuf gurvbturmFekefuf ai gurvbturm fmtjah es bcfast tjm sbfm bs tjm rbheus ai gurvbturm

    fmtjah oy bssufekd tjm wmcc oarm tjbt es iarfmh es bk brg omtwmmk tjm twa

    survmy paekts. Xjes fmtjah usms tjm sbfm mqubteak wetj akcy tbkdmktebc

    Obcbkgm mqubteak fuctepcemh oy b ibgtar hmsgreomh rbtea ai tjm brg iarfmh oy

    tjm wmccs hreccmh oy tjes fmtjah tjmrmiarm pravehms bk bggurbtm fmtjah ai

    hmtmrfekekd tjm paseteak ai oarmjacms, eccustrbteak 8 sjaws tjm obseg

    gbcgucbteaks usmh ek tjm gbcgucbteak ai fekefuf gurvbturm.

    Eccustrbteak 8 fmbsurmfmkt wetj fekefuf gurvbturm

    O

    B

    E2

    E?

    ο

    G

    Bgtubc bkh bssufmh wmcc gaursm

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    5 | ̂ b d m

    Gbcgucbteak Fekefuf ai gurvbturm tjbt faheiegbteak iraf tjm trb`mgtary

    Obcbkgm tbkdmktebc gaksehmrs oarmjacms es bcakd tjm cekm E 2 B + B E ? gbcgucbteak

    ai tjm rbtea ai ibgtars gjbkdmh tjm trb`mgtary E 2 O + O E ? wjegj es bk brg iraf

    tjm paekt, es fbtjmfbtegbccy sefecbr ta tjm rbheus ai gurvbturm ek tjm scapm

    gjbkdms akcy bt tjes fmtjah gakvmrtmh ekta rbhebks bkdcm.

    Bs cakd bs tjmrm es ka gjbkdm ek Bzefutj oarmjacm, tjm mqubteak _bheus ai

    gurvbturm bkh fekefuf gurvbturm wecc devm tjm sbfm rmsucts, out ei tjmrm brm

    gjbkdms Bzefutj tjmk tjmrm wecc om gjbkdms ek tjm gbcgucbteak. Fekefuf

    gurvbturm gbcgucbteaks bssufm tjbt tjm brg es tjm sjartmst pbtj ta hrecc wmccs

    ta fmmt ak tjm smgakh paekt ai tjm survmy ak b sfbcc scapm wetj Bzefutj

    gjbkdms brm cbrdm, tjm sjartmst hestbkgm passeocm wecc rmsuct ek hmgrmbsmh

    scapm ai tjm wmccs bkh hmicmgteak, tjes es b praocmf omgbusm tjm fmtjah hams

    kat tblm ekta bggaukt tjm fekefuf ai gurvbturm gjbkdms tect bkh Bzefutj

    smpbrbtmcy bs es hakm _bheus ai gurvbturm gbcgucbteak fmtjah

    Xjm mqubteak usmh ek tjes fmtjah brm0

    XYH Gjbkdm

    ........................................................................................ (?.2)Kartj gjbkdm

    .............................................................. (?.?)

    Mbst gjbkdm

    ................................................................ (?.7)

    * , -+ ......................................................... (?.8)

    . / ............................................................................................................. (?.=)./ ........................................................................................................................ (?.9)

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    2> | ̂ b d m

    Fbppekd

    Akgm tjm survmy hbtb aotbekmh tjraudj tjm gbcgucbteak, tjm Gcasurm bkh

    Hermgteak gbcgucbteak bppcy ta lkaw jaw fugj trb`mgtary hermgteak bkh

    tjm hermgteak tjbt jbs ommk iarfmh iar cbtmr hmpegtmh ek tjm fbp tjm hermgteak

    ai Kartj-Mbst ar tjm ^cbk Yemw, out et kmmhs ta om

    hakm gbcgucbteaks Ymrtegbc Wmgteak ta fbp tjm hermgteak

    ai Xrum Ymrtegbc hmptj ai Ymrtegbc Wmgteak iarfmh omgbusm ai

    tjm iarfbteak ar Wmgteak Yemw, gbcgucbteaks brm bcsa ekgarparbtmh ekta

    tjm survmy es b hadcmd

    Gcasurm bkh Hermgteak

    tjm gcasurm es hmiekmh bs b "strbedjt cekm, ek tjm jarezaktbc pcbkm gaktbekekd

    tjm cagbteak ai b rmgmkt survmy hbtb hrbwk iraf tjm cagbteak ai tjm uppmr

    suribgm uktec tjm iekbc cagbteak survmy" Gcasurm cekm bs sjawk ek eccustrbteak

    =. Et gbk om sbeh, Gcasurm es tjm sjartmst hestbkgm omtwmmk tjm cagbteak ai tjm

    suribgm bkh tjm jarezaktbc pra`mgteak ai tjm cbst paekt ai tjm

    survmy Gcasurm es bcwbys b strbedjt cekm omgbusm b strbedjt cekm es tjm sjartmst

    hestbkgm omtwmmk twa paekts gbk bcsa om sbeh gcasurm es tjm pacbr

    gaarhekbtms bt tjm paekt ai tjm survmy tjbt wbs appasmh

    oy tjm Kartj bkh Mbst ekta cakdetuhm gaarhekbtms. Tjmk tjm smt gcasurm, tjm

    hermgteak fust om pravehmh iar wetjaut hermgteak, tjm obseg paekt ek tjm iemch

    ai jarezaktbc wmccs gbk om bkywjmrm ek b gergcm wetj b hestbkgm mqubc ta tjm

    hestbkgm Gcasurm gergcm, tjm hestbkgm bkh hermgteak iraf tjm oattaf ai tjm

    wmcc gcasurm es hmtmrfekm paseteak bdbekst tjm suribgm cagbteak, hestbkgm bkh

    hermgteak gbcgucbtmh Gcasurm oy tjm iaccawekd

    mqubteak bssufekd zmra immt gaarhekbtms ai wmccs hreccmh iraf tjm

    Kartj bkh zmra immt iraf tjm Mbst, ei tjm gaarhekbtms ai oarmjacms es kat zmra

    tjmk tjm ektmrpacbteak gbk om pmriarfmh ta hmtmrfekm tjm gcasurm

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    22 | ̂ b d m

    K a r t

    j g a a r h e k b t m

    Mbst gaarhekbtm

    Ymrtegbc Wmgteak

    Gcasurm Hestbkgm

    Ymrtegbc Wmgteak

    Bzefutj

    Ymrtegbc

    Gcasurm Bzefutj

    . / ...................................................................................... (?.4)

    ∐ ......................................................................... (?.:)

    Eccustrbteak = heiimrmkgm omtwmmk gcasurm hestbkgm bkh vmrtegbc smgteak ak

    jarezaktbc vemw

    Ymrtegbc Wmgteak

    Ymrtegbc Wmgteak es tjm jarezaktbc hestbkgm ai wmccs hreccmh ek b

    pbrtegucbr iemch bkh es

    hrbwk tectmh tawbrhs Xrum Ymrtegbc Hmptj. Tjmk cekm hrbwk vmrtegbc wmccs hrecc

    mh ak Wmgteak partrbymh Xrum Ymrtegbc Hmptj, hestbkgm gcasurm gbk kat om

    hmsgreomh bggurbtmcy hum ta iemch gcasurm (Gcasurm Hermgteak), vmrtegbc

    efbdm ai tjm wmccs hreccmh tjmrm ek tjm iemch. Eccustrbteak =

    drbpjegbccy sjaws tjm heiimrmkgm omtwmmk gcasurm

    hestbkgm bkh Ymrtegbc Wmgteak, b hestbkgm ai Gcasurm bkh Ymrtegbc Wmgteak wecc

    om tjm sbfm ei tjm hermgteak ai gcasurm es mqubc ta tjm iemch

    ai Ymrtegbc Wmgteak. Ymrtegbc Wmgteak Bzefutj Bzefutj es usubccy gjasmk bs tjm

    cagbteak ai tjm suribgm ta tjm tbrdmt paseteak. Ei tjmrm brm fbky

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    2? | ̂ b d m

    tbrdmts bkh gjbkdms ek tjm Bzefutj brm rmquermh ta bgjemvm

    mbgj tbrdmt, Ymrtegbc Wmgteak Bzefutj usubccy gjasmk bs tjm suribgm

    cagbteak ta tjm paekt ai mbgj tbrdmt, gbcgucbtmh iraf

    tjm Ymrtegbc Wmgteak Gcasurm Hestbkgm bkh Hermgteak. Xjm mqubteak iar

    gbcgucbtekd tjm Ymrtegbc Wmgteak es bs iaccaws0

    ............................................................................ (?.5)^raocmf wetj Ymrtegbc Wmgteak kmdbtevm vbcum

    Ymrtegbc smgteak es tjm jarezaktbc hestbkgm ai wmccoarm tjbt favms ek tjm

    hermgteak ai tjm tbrdmt pmr mbgj stbteak ar ek tatbc. Iar ekstbkgm, ek tjm iedurm

    omcaw, vmrtegbc smgteak es tjm hestbkgm iraf survmy ta survmy paekt bkh et―s

    fmbsurmh ek tjm sbfm hermgteak ai tjm vmrtegbc smgteak hermgteak.

    Eccustrbteak 9 gjbkdms vbcum ai vmrtegbc smgteak

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    27 | ̂ b d m

    Xjm twa ibgtars tjbt biimgt vmrtegbc smgteak brm bs iaccaws0

    2. Xjm Ekgrmfmktbc jarezaktbc hespcbgmfmkt ( JH)

    ?. Ymrtegbc smgteak hermgteak (YWH) es tjm bzefutj tjbt es usmh ta rmimrmkgm

    ta tjm vmrtegbc smgteak. Karfbccy, YWH es tjm bzefutj ai tjm cbst tbrdmt.

    Xjm sefpcm fbtjmfbtegs bs Bvmrbdm Bkdcm Fmtjah gbcgucbteak hmfakstrbtms

    tjm rmcbteaksjep ai tjm YW bs omcaw0

    YW 0 Ymrtegbc Wmgteak

    YWH 0 Ymrtegbc Wmgteak Hermgteak

    Bzefutj bvd 0 Bvmrbdm Bzefutj omtwmmk ? paekts (Bz2 + Bz?) ô?

    JH 0 Hmctb Jarezaktbc Hespcbgmfmkt

    Ek arhmr ta dmt tjm ^asetevm Ymrtegbc Wmgteak ar Pmra Ymrtegbc Wmgteak, b wmcc

    pbtj fust jbvm heiimrmkgm ai bkdcm omtwmmk YWH bkh Bzefutj bvd, (YWH ‗ Bzefutj bvd), wetjek b rbkdm ai +5> ta -5> hmdrmm. Ak tjm atjmr jbkhs, tjm

    kmdbtevm Ymrtegbc Wmgteak gbk aggur omgbusm tjm heiimrmkgm ai bkdcm omtwmmk

    YWH bkh Bzefutj bvd, (YWH ‗ Bzefutj bvd), es aut ai rbkdm ai +5> ta -5>

    hmdrmm BPE.

    Hadcmd smvmrety

    Hadcmd smvmrety es tjm gbcgucbteak ai tjm bfaukt ai gjbkdm

    ek bkdcm (Ekgcekbteak), bkh hermgteak (Bzefutj) ai hrecc

    jacms, typegbccy sjawk ek hmdrmms pmr 2>> immt ai pbtj cmkdtj

    Hadcmd smvmrety wecc ekgrmbsm ei tjm bkdcm bkh hermgteak gjbkdms aggur

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    28 | ̂ b d m

    ek tjm sjart trbgl bkh gjbkdekd rbpehcy, tjm fbdketuhm

    ai tjm hadcmd smvmrety gbk om gbcgucbtmh usekd tjm iaccawekd mqubteak0

    ./ * ⌀ ⌌ + ..... (?.?2)

    Hadcmd smvmrety es kat rmbccy b praocmf ek hermgteakbc hreccekd, out wecc om

    gaksehmrmh ak guttekd trbkspart bkh wmcc gcmbk up. ^raocmfs bssagebtmh wetj

    tjm hadcmd es tjm drmbtmr tarqum bkh hrbd tjm hadcmd wecc cmbh

    ta drmbtmr tarqum bkh hrbd, Hrecc Wtrekd wecc mxpmremkgm b sfbcc tarqum ai

    tjm hadcmd bs hreccekd, omgbusm tjm gaccbr ek tmkseak mxgmpt

    ek jarezaktbc wmccs bkh wmccs wetj jedj scapm out wjmk haekd treppekd bkh

    rmbfekd, tjm tarqum wecc om mvmk drmbtmr omgbusm

    tjm gaccbr omgafms tmksm bkh bhh ta tjm avmrbcc strmss ai tjm hrecc strekd

    Ek jarezaktbc wmccs ar wmccs wetj b jedj scapm, tjm tarqum fby om sfbcc wjmk

    tjm speks ak tjm oattaf ai tjm wmcc, bttmkteak sjauch om iagusmh ak bk

    efpartbkt gjbkdm ek tjm scapm ar hermgteak ai tjm wmcc, omgbusm

    tjm Oattaf Jacm Bssmfocy fby om tawbrh tjm oattaf ai tjm wmcc out wecc

    kat om rmbppaektmh oy hadcmd bkh gbusm praocmfs ek

    hreccekd, tjmrmiarm, tjm survmy gbcgucbtmh tjm vbcum ai hadcmd smvmrety omgafm

    sa efpartbkt ta hmtmrfekm wjmtjmr tjm Oattaf Jacm Bssmfocy jbs ommk

    smttekd stecc bocm ta om bppaektmh bitmr b gjbkdm ai hermgteak

    bkh scapm brm efpartbkt

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    2= | ̂ b d m

    Gbsm Wtuhy pcbkkekd bkh survmy hermgteakbc wmcc

    B hermgteakbc trb`mgtary wecc om bppcemh ek aec wmcc ta pravehm omttmr rmsmrvaer

    hrbekbdm ak b ibuct wetj hbtb bgquerm bs smmk omcaw, pcmbsm gbcgucbtm tjmwmcc pcbkkekd<

    Hmpbrturm (HM^) 0 :>> f

    Xbrdmt Hmptj (XH) 0 7=72 f

    Ouech up _btm (Or) 0 7/7> f

    Ekgcekbteak 2 (E2) 0 >>

    Ekgcekbteak ? (E?) 0 ?>.24>

    - Hmptj ekgrmfmkt trb`mgtary (ΘFH)

    - XYH ekgrmfmkt trb`mgtary (ΘXYH)

    - Hespcbgmfmkt iraf tjm eketebc hrecc paekt (Θ HM^)

    - Hespcbgmfmkt (HM^ jach )

    - Hespcbgmfmkt ai trum vmrtegbc hmptj (XYH jach )

    - Legl ai paekt (LA^)

    Bkswmr

    - Hmptj ekgrmfmkt trb`mgtary (ΘFH)

    - XYH ekgrmfmkt trb`mgtary (ΘXYH)

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    29 | ̂ b d m

    - Hespcbgmfmkt iraf tjm eketebc hrecc paekt (Θ HM^)

    - Hespcbgmfmkt (HM^ jach )

    - Hespcbgmfmkt ai trum vmrtegbc hmptj (XYH jach )

    - Legl ai paekt (LA^)

    Tetj bhheteakbc hbtb omcaw, bcsa gbcgucbtm< Gcasurm hermgteak, gcasurm

    hestbkgm, bkh vmrtegbc smgteak.

    FH 0 27>> fFH

    Ekgcekbteak 0 = >

    Bzefutj 0 5 >

    XYH 0 2?55.58 fXYH

    K 0 ?.2= f

    M 0 >.78 f

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    24 | ̂ b d m

    - Gcasurm hermgteak

    ( ) ( )

    - Gcasurm hestbkgm

    ∐ ∐ - Ymrtegbc smgteak

    Tetj tjm hbtb omcaw pcmbsm ha survmy gbcgucbteak

    Fmbsurm Hmptj Ekgcekbteak Bzefutj

    ?>2?.4? 25.:8 22.7?

    ?>82.9> 25.5? :.7:

    Tetj IG0 2.>>>?5:=

    - Gbcgucbteak XYH ak hmptj ?>2?.4? fFH

    - Gbcgucbteak ai kartj hermgteak ak ?>2?.4? fFH

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    25 | ̂ b d m

    - Gbcgucbteak ai Kartj hermgteak ak ?>82.9> fFH

    - Gbcgucbteak ai Mbst hermgteak ak ?>82.9> fFH

    - Gbcgucbteak ai Gcasurm Hermgteak ak ?>82.9> fFH

    ( ) ( )

    - Gbcgucbteak ai Gcasurm hestbkgm ak ?>82.9> fFH

    ∐ ∐ - Gbcgucbteak ai Ymrtegbc Wmgteak ak ?>82.9> fFH

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    ?> | ̂ b d m

    - Gbcgucbteak ai Hadcmd smvmrety ak ?>82.9> fFH

    ./ * ⌀ ⌌ +

    ./ * ⌀ ⌌ +

    Wehmtrbglekd gbcgucbteak

    Gustafmrs wbkt b rm-pcbkkekd hum ta praocmfs ek tjm wmcc hreccekd pragmss,

    wetj tjm hbtb omcaw pcmbsm pcbkkekd tjm sehm trbgl legl ai paekt iar tjm wmcc

    Hbtb0

    Gaursm cmkdtj 0 7> fFH

    Xbrdmt Hmptj 0 74?= fXYHEkgcekbteak bt stbteak 2 0 ?2.9 >

    Ekgcekbteak bt stbteak ? 0 ??.7 >

    Hmsermh ekgcekbteak 0 ?2 >

    Bkswmr0

    - Gbcgucbteak ai XYH Jach Wehmtrbglekd

    - Gbcgucbteak ai ∉XYH

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    ?2 | ̂ b d m

    - Gbcgucbteak ai LA^ Wehmtrbglekd

    E Japm wecc kmvmr mxpmremkgms ta gbcgucbtm hermgteakbc hreccekd pcbkkekd

    bkh survmy wetj fbkubc gbcgucbteak, tjrmm wmcc et―s mkaudj iar fm !

    Fuite Djbzbce