Tech Drilling DirDrilling3

8/9/2019 Tech Drilling DirDrilling3

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1

Petroleum Engineering 406

Lesson 20

Directional Drilling

(continued)



2

Lesson 17

- Directional Drilling cont’d

Tool-Face Angle

Ouija Board

Dogleg Severity

Reverse Torue o! "ud "otor

#$a%&les



3

Homework:

R#AD'

A&&lied Drilling #ngineering *+a&ter ,

(to &age ./)



5

Fig , 0' 1ra&+ical Ouija Analysis

Solution Tool Face (γ )

nitial nclination 3 45o

G!E":

α 3 45o

∆ε 3 42

o

αΝ 3 42o

γ

# $

o

β # $o

6 e 7 n c l i n a t i o n - 4 2

o

∆ε 3 1%o

Over one drilled interval (8it run)



6

Fig ,

Basis o! c+artconstruction is a

trigono%etric

relations+i&illustrated 8y t7o

intersecting

&lanes

β

β 3 dogleg angle

α

ε

α

Ν



7

9ro8le% 4

Deter%ine t+e ne7 direction (ε

) !or a

7+i&stoc: set at .0/ % 7it+ a tool-!ace

setting o! ;/0 degrees rig+t o! +ig+ side

!or a course lengt+ o! 40 %

T+e inclination is .0 and t+e direction is

64/< T+e curve o! t+e 7+i&stoc: 7ill

cause a total angle c+ange o! 0 &0 %



8

9ro8le% 4

α 3 .o (inclination)

ε 3 ;/o (a=i%ut+)

γ 3 ;/o (tool !ace angle)

L 3 40 % (course lengt+)

δ 3 o> 0 % (dogleg severity)

ε

Ν

# $ o

γ

= 45o



10

Solution to 9ro8le% 4 &art 2

2 ?se #uation ,;2 to calculate t+edirection c+ange

6e7 direction 3;/0'/0 3 /00# 6@.<

γ αβ+α

γ β=ε∆

coscostansin

sintantanarc

;/cos.cos4tan.sin

;/sin4tantan 4

+=ε∆ −

-/[email protected] 4 ≅=ε∆ −



11

9ro8le% 2

Deter%ine 7+ere to set t+e tool !ace angle!or a jetting 8it to go !ro% a direction o!

400 to 00 and !ro% an inclination o! 0 to /0

Also calculate t+e dogleg severity assu%ingt+at t+e trajectory c+ange ta:es 50 !t

α 3

ε 3 40

Find !t50 L

-0

/

6

6

=

=ε

=α

and

ε



12


4 Find β using #uation ,/

[ ]

[ ]

o4

ooooo4

664

;[email protected]@@@4450cos

-cos/cos-sin/sin20coscos

coscossinsincoscos

≅=

+=

αα+ααε∆=β

−

−

−



13


2 6o7 calculate γ !ro% euation ,;,

o4 4/;/.0/20cos ==γ −

−

=γ −

oo

ooo4

;[email protected]

/cos;[email protected]

cos

βαα−βα=γ −

sinsincoscoscoscos 64



15

Fig ,4' Solution to #$a%&le ,5



16

9ro8le% Deter%ine t+e dogleg severity !ollo7ing a

jetting run 7+ere t+e inclination 7as c+anged

!ro% ;o to .4oand t+e direction !ro% 6,@#

to S,0# over a drilled interval o! ,/ !eet

4 Solve 8y calculation

2 Solve using Ragland diagra%

L 3 ,/ !t o

6

o

o

6

o

400 ,@

.4 -;

=ε=ε=α=α

∆α 3 .4 - ; 3 2, ∆ε 3 400 - ,@ 3 44



17

Solution to 9ro8le% &art 4

4 Fro% #uation ,//

2>4

2224

2

40.-0;sin

2

44sin

2

,02sinsin2

++=β −

2>4

62224

2

sin

2

sin

2

sinsin2

α+αε∆+

α∆=β −

β

3 04o



18


4 Fro% #uation ,;

t+e dogleg severity

400

,/

04-(i)

L

∗=β

=δ

!eet400>/- o=δ



19


2 *onstruct line o! lengt+ α +4(,o

"easure angle ε +11o )

*onstruct line o! lengt+ α" (.4o)

"easure lengt+ β

("easure angleγ

);

.444

o

Ragland Diagra%β



20

So%e #uations to *alculate β

)coscossinsincos(cosarc 66 αα+ααε∆=β

66sinsincossinsincoscos αα−α∆+ααε∆=β

# ,/

# ,/;

α+α

ε∆+

α∆=β

2sin

2sin

2sinsinarc2 6222

# ,//



21

Overall Angle *+ange and

Dogleg Severity

#uation ,/4 derived 8y Lu8ins:i is used to

construct Figure ,2

a no%ogra&+ !or deter%ining

t+e total angle c+ange β

andt+e dogleg severity δ



22

Fig ,2' *+art!or deter%ining

dogleg severity



24

∆ε 3 44o

(α+αΝ)/2

3 /.

o



25

αΝ − α 3 2,o

β 3 o



26

β 3 o

δ 3 /o>400 !t



28

9ro8le% ; - Torue and T7ist4*alculate t+e total angle c+ange o! 5/0

!t o! ; 4>2 inc+es (,25 D) 1rade #

4550 >!t drill &i&e and 00 !t o! . drill

collars (2 4>45 D) !or a 8it-generated

torue o! 4000 !t-l8! Assu%e t+at t+e%otor +as t+e sa%e &ro&erties as t+e .

drill collars S+ear %odules o! steel 1 3

44/406

&si2 <+at 7ould 8e t+e total angle c+ange i!

.00 !t o! drill &i&e 7ere usedC



29

Solution to 9ro8le% ;

Fro% #uation ,/5

gdrillstrinBA%otor

"

1E

"L

1E

"L

1E

"L

+

+

=θ

( ) ( ) ;;;;;in224@,25-/;

-2DOD

-2E9i&e!or =−

π=−

π=

( ) ;;; in522@,4-2.-2

E*ollars!or =−π

=



30

Solution to 9ro8le% ; cont

[ ]o

;;

2

&i&ecollars

"

24-.rad

deg4,0rad-@;2

radians-@;2,,2.,25,4/0040;-0

in224@

in425/0-

in522@in42-00

in

l8! 40/44

!t

in42l8s!t0004

EL

EL

1"

=π

∗=θ∴

=+=

∗+∗

∗

∗

=

+

=θ∴ radians



31

Solution to 9ro8le% ; cont

! Lengt+ o! drill&i&e 3 .00 !t

θ.3 00040; [4/5,222.,,,G

3 ;.. radians rad

deg4,0

π

o

" -2.-=θ H >; revolutionI

4.2



34

Dogleg /eerit

Fro% #uation ,;

t+e dogleg severity

4004/0

,/(i)

L∗=

β=δ

!eet400>,.- o=δ



36

Fig ,5' Solution !or #$a%&le ,40

<+ere to Set t+e Tool Face

ig+

Side

9resent

Direction

6e7Direction

Tool Face

Setting*o%&ensating !or Reverse

Torue o! t+e "otor

ig+Side

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