note for directional drilling calculation
TRANSCRIPT
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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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........................................................................................................................................... (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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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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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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8/15/2019 Note for Directional Drilling Calculation
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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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8/15/2019 Note for Directional Drilling Calculation
19/22
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8/15/2019 Note for Directional Drilling Calculation
20/22
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