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1 Petroleum Engineering 406 Lesson 20 Directional Drilling (continued)

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Ouija Board Calculations for directional Drilling.

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Page 1: Tech Drilling Directional Drilling

1

Petroleum Engineering 406

Lesson 20

Directional Drilling

(continued)

Page 2: Tech Drilling Directional Drilling

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Lesson 17- Directional Drilling cont’d

Tool-Face Angle Ouija Board Dogleg Severity Reverse Torque of Mud Motor Examples

Page 3: Tech Drilling Directional Drilling

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Homework:

READ: Applied Drilling Engineering”, Chapter 8

(to page 375)

Page 4: Tech Drilling Directional Drilling

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Fig. 8. 30: Graphical Ouija Analysis.

Solution Tool Face ()

Page 5: Tech Drilling Directional Drilling

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Fig. 8. 30: Graphical Ouija Analysis.

Solution Tool Face ()

Initial Inclination = 16o

GIVEN:

= 16o

= 12o

= 12o

= ? o

= ? o

New Inclination - 12o

= 12o

Over one drilled interval (bit run)

Page 6: Tech Drilling Directional Drilling

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Fig. 8.33

Basis of chart construction is a trigonometric relationship illustrated by two intersecting planes

= dogleg angle

Page 7: Tech Drilling Directional Drilling

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Problem 1

Determine the new direction () for a whipstock set at 705 m with a tool-face setting of 450 degrees right of high side for a course length of 10 m.

The inclination is 70 and the direction is N15W. The curve of the whipstock will cause a total angle change of 30/30 m.

Page 8: Tech Drilling Directional Drilling

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Problem 1

= 7o (inclination)

= 345o (azimuth)

= 45o (tool face angle)

L = 10 m (course length)

= 3o/ 30 m (dogleg severity)

= ? o

= 45o

Page 9: Tech Drilling Directional Drilling

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Solution to Problem 1, part 1

I. Use Equation 8.43 to calculate .

The dogleg severity,

o1m30

m103

i

L

)i(L

Page 10: Tech Drilling Directional Drilling

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Solution to Problem 1, part 2

2. Use Equation 8.42 to calculate the direction change.

New direction =3450 +5.30 = 350.30 = N9.7W

cos cos tansin

sintantan arc

45cos7cos1tan7sin

45sin1tantan 1

3.5092027.0tan 1

Page 11: Tech Drilling Directional Drilling

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Problem 2

Determine where to set the tool face angle, for a jetting bit to go from a direction of 100 to 300 and from an inclination of 30 to 50. Also calculate the dogleg severity, assuming that the trajectory change takes 60 ft.

= 3

= 10

Find ft 60 L

30

5

N

N

and

Page 12: Tech Drilling Directional Drilling

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Solution to Problem 2, part 1

1. Find using Equation 8.53

o1

ooooo1

NN1

4097.2999116.0cos

3cos5cos3sin5sin20coscos

coscossinsincoscos

Page 13: Tech Drilling Directional Drilling

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Solution to Problem 2, part 2

2. Now calculate from equation 8.48.

o1 15.457052.0cos

oo

ooo1

4097.2sin3sin

5cos4097.2cos3coscos

sinsin

coscoscoscos N1

Page 14: Tech Drilling Directional Drilling

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Solution to Problem 2, part 3

3. The dogleg severity,

= 4.01o / 100 ft

Alternate solution: Use Ouija Board

10060

4097.2(i)

L

o

Page 15: Tech Drilling Directional Drilling

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Fig. 8.31: Solution to Example 8.6.

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Problem 3Determine the dogleg severity following a jetting run where the inclination was changed from 4.3o to 7.1o and the direction from N89E to S80E over a drilled interval of 85 feet.

1. Solve by calculation.

2. Solve using Ragland diagram

L = 85 ft oN

o

oN

o

100 89

7.1 3.4

= 7.1 - 4.3 = 2.8. = 100 - 89 = 11

Page 17: Tech Drilling Directional Drilling

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Solution to Problem 3, part 1

1. From Equation 8.55

2/1

2221

2

1.73.4sin

2

11sin

2

8.2sinsin2

2/1

N2221

2sin

2sin

2sinsin2

= 3.01o

Page 18: Tech Drilling Directional Drilling

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Solution to Problem 3, part 1

1. From Equation 8.43

the dogleg severity,

10085

01.3(i)

L

feet 100/5.3 o

Page 19: Tech Drilling Directional Drilling

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Solution to Problem 3, part 2

2. Construct line of length (4.3o)

Measure angle (11o )

Construct line of length N (7.1o)

Measure length (Measure angle ) 4.3

7.111o

Ragland Diagram

Page 20: Tech Drilling Directional Drilling

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Some Equations to Calculate

)coscossinsincos(cos arc NN

NN sinsincossinsincoscos

Eq. 8.53

Eq. 8.54

2

sin2

sin2

sinsin arc 2 N222

Eq. 8.55

Page 21: Tech Drilling Directional Drilling

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Overall Angle Change and Dogleg Severity

Equation 8.51 derived by Lubinski is used to construct Figure 8.32,

a nomograph for determining

the total angle change and

the dogleg severity, .

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Fig. 8.32: Chart for determining dogleg severity

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= 11o

= 5.7o

= 2.8o

= 3o

= 3.5o/100 ft

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= 11o

= 5.7o

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= 2.8o

= 3o

Page 26: Tech Drilling Directional Drilling

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= 3o

= 3.5o/100 ft

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= 11o

= 5.7o

= 2.8o

= 3o

= 3.5o/100 ft

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Problem 4 - Torque and Twist1.Calculate the total angle change of 3,650

ft. of 4 1/2 inches (3.826 ” ID) Grade E 16.60 #/ft drill pipe and 300 ft. of 7” drill collars (2 13/16” ID) for a bit-generated torque of 1,000 ft-lbf. Assume that the motor has the same properties as the 7” drill collars. Shear modules of steel, G = 11.5*106 psi.

2. What would be the total angle change if 7,300 ft. of drill pipe were used?

Page 29: Tech Drilling Directional Drilling

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Solution to Problem 4

From Equation 8.56,

gdrillstrinBHAmotorM GJ

ML

GJ

ML

GJ

ML

44444 in22.19826.35.432

IDOD32

J Pipe, for

444 in 6.229813.2732

J Collars, for

Page 30: Tech Drilling Directional Drilling

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Solution to Problem 4, cont.

o

44

2

pipecollarsM

2.137rad

deg180rad 394.2

radians 394.288.278,268.15001043.0

in22.19

in12650,3

in6.229

in12300

inlbf

105.11

ftin

12lbs.ft000,1

J

L

J

L

G

M

radians

Page 31: Tech Drilling Directional Drilling

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Solution to Problem 4, cont.

If Length of drillpipe = 7,300 ft.,

M = 0.001043 15.68+2*2278.88]

= 4.77 radians * rad

deg180

oM 3.273 ~ 3/4 revolution!

137.2

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Example 8.10

Design a kickoff for the wellbore in Fig. 8.35.

From Ouija Board,

= S48W = 228o N = N53W = 307o

= 2o L = 150 ft N = 6o

= 79o Find and

Page 33: Tech Drilling Directional Drilling

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Fig. 8.36: Solution for Example 8.10.

Where to Set the Tool Face

High Side

Present Direction

High Side

New Direction

Page 34: Tech Drilling Directional Drilling

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Dogleg Severity

From Equation 8.43

the dogleg severity,

100150

8.5(i)

L

feet 100/87.3 o

Page 35: Tech Drilling Directional Drilling

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Fig. 8.36: Solution

for Example

8.10.

307o

With jetting bit: 325o345o

228o

M = 20o

Page 36: Tech Drilling Directional Drilling

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Fig. 8.36: Solution for Example 8.10.

Where to Set the Tool Face

High Side

Present Direction

New Direction

Tool Face Setting Compensating for Reverse

Torque of the Motor

High Side