1252106377BHA Design

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COPYRIGHT 1990 MITCHELL ENGINEERING, PO BOX 1492. GOLDEN, CO, 80402, USA (303) 273 3744

Bottom Hole Assembly Design and Usage

GRADE YIELD

Jar Triggering Load

D 60,000

E 75,000

6,000

ft Length of Pipe G 105,000

5

in Pipe OD N 80,000

4.276

in Pipe ID S 135,000

S

API Grade of Pipe (D,E,G,N,S,X) X 95,000

21

ppf W eight of Pipe

20

% % W ear of Pipe

135,000

psi API Unit Yield Strength of the Pipe

90

ft Length of Collars

136.3

ppf W eight of Drill Collars

7.75

in Collar OD

448,604

lbs W orking Tensile Strength

3

in Collar ID

112,919

lbs Bouyed W eight of the String Above the Jars

12

ppg Mud W eight

335,685

lbs Maximum Triggering Load

15

in^2 Seal Area of Jar

15,000

lbs Pump Extending Force

1,000

psi Assistance Pressure for Jars

448,604

lbs Maximum Load W ITHOUT Hydraulic Assistance

433,604

lbs Maximum Load W ITH Hydraulic Assistance

Mechanical Properties of the B.H.A.

Air Weight and Bouyed Weight of the B.H.A.

8

in Collar OD or Side Length,S

3

in Collar ID

N

Is(Are) the Collar(s) Square ?

146.9

ppf W eight per Foot of Drill Collars

26.5

ft Length of Collars

3,891.5

lbs W eight of Drill Collars

16

ppg Mud W eight - Outside

110.9

ppf Bouyed W eight per Foot of Drill Collars

16

ppg Mud W eight - Inside

2,940.1

lbs Bouyed W eight of Drill Collars

(2)

3.00E+07

psi Modulus of Elasticity

197.1

in^4 Resistance to Axial Bending

394.2

in^4 Resistance to Torsion

0.275589877

in Sag (Resistance to Sag)

0.635577836

° Droop (Resistance to Droop)

Tapered B.H.A.

6

in Pipe OD

4.276

in Pipe ID

8

in Collar OD

3

in Collar ID

15.74 in³ Section Modulus of Pipe

49.27 in³ Section Modulus of Collars

3.13 Section Modulus Ratio of Collars to Pipe

YES

SHOULD CONNECTION BE MADE ??

Wall Forces

Wall Force in Doglegs

5

in Pipe OD

4.276

in Pipe ID

21

ppf W eight of Pipe

30

ft Length of a Joint of Pipe

8

in Collar OD

3

in Collar ID

500

ft Length of Collars

146.9

ppf W eight of Collars

14,000

ft Drilling Depth

203,261

lbs Tension in the Drillpipe

11

ppg Mud W eight

TENSION

1.85

°/100' Dogleg Severity

1968.9

lbs W all Force

2,000

ft Depth of Dogleg

2,500

ft Depth of Interest

YES

IS W EAR ACCEPTABLE ??

50,000

lbs W eight on Bit

(3)

50

° Slant Angle

9.9

ppf Bouyed W eight of Pipe

17

ppg Mud W ieght - Outside

7.6

ppf W all Force per Foot

8.4

ppg Mud W eight - Inside

228.1

lbs W all Force per Joint of Pipe

Centrifugal Force

91

R.P.M. Rotary Speed

163.9

ppf W all Force per Foot

17.5

in Hole Diameter

Torsional Damping - The Fly Wheel Effect

Collars Currently In The Hole

8

in Collar OD or Side Length,S

3

in Collar ID

N

Are the Collars Square ?

400

ft Length of Collars

394.2

in^4 Resistance to Torsion (Polar Moment of Inertia)

40

R.P.M. Current Rotary Speed

79.8

Dampening Variable [DV]

Collars To Be Added To The Hole

11

in Collar OD or Side Length,S

3

in Collar ID

N

Are the Collars Square ?

180

ft Length of Collars 1,429.4 in^4 Resistance to Torsion (Polar Moment of Inertia)

3

R.P.M. New Rotary Speed 9.8 Dampening Variable [DV]

89.5

Total Dampening

Torque Of A Spinning B.H.A.

9.5

in Collar OD or Side Length,S [Of Collars In Hole]

2.75

in Collar ID [Of Collars In Hole]

N

Are the Collars Square ?

300

ft Length of Collars

360

R.P.M. Current Rotary Speed

794.0

in^4 Resistance to Torsion (Polar Moment of Inertia)

227,250

lbs-ft Torque Transmitted To The Bit

(4)

Torsional Bucking Of A B.H.A. And Drillpipe

5

in Pipe OD

4.276

in Pipe ID

10,000

ft Length of Pipe

21

ppf W eight of Pipe

8

in Collar OD or Side Length,S

3

in Collar ID

N

Are the Collars Square ?

400

ft Length of Collars

100

R.P.M. Current Rotary Speed

0

lbs Axial Load On Pipe (- = Compression)

-40,000

lbs Axial Load On Collars (- = Compression)

14.3

in^4 Resistance to Axial Bending (Pipe)

28.5

in^4 Resistance to Torsion (Pipe)

146.9

ppf W eight per Foot of Drill Collars

58,740.0

lbs W eight of Drill Collars

197.1

in^4 Resistance to Axial Bending (Collars)

394.2

in^4 Resistance to Torsion (Collars)

1,867.8

lbs-ft Buckling Torque of the Pipe

UNDEFINED

lbs-ft Buckling Torque of the Collars

-0.293397869

lbs Value of Axial Load on Pipe for Zero B.T.

-2,532.8

lbs Value of Axial Load on Collars for Zero B.T.

4,231.2

lbs-ft Torque Placed On Drillpipe By Collars

Buckling By Rotational Drag

^^^^^Uses Pipe And Collar Data From Example Above ^^^^^

440

Volts Voltage Across Motor

150

Amps Amperes Consumed

92

% Electrical Efficiency

95

% Mechanical Efficiency of Rotary System

80

R.P.M. Drill Pipe Rotational Speed

(5)

75

% % of Rotational Drag Created by B.H.A.

5,076.2

lbs-ft Drillpipe Torque by Rotary System

3,807.1

lbs-ft Torque Created By B.H.A.

(6)

Critical Buckling Loads

5

in Pipe OD

3

in Pipe ID

0

ppg Mud W eight

1

st Order of Buckling (1,2)

80.13

f (Order Coefficient for Buckling)

1.000

Bouyancy Factor

4,153.4

lbs Critical Buckling Load

Weight on Drill Bit In Vertical And Inclined Holes

36

in Hole Diameter

146.9

ppf W eight per Foot of Drill Collars

5

in Pipe OD

13,217

lbs W eight of Drill Collars

4.276

in Pipe ID

0.827

Bouyancy Factor

21

ppf W eight of Pipe

121.5

ppf Bouyed W eight per Foot of Drill Collars

9,000

ft Length of Pipe

10,934

lbs Bouyed W eight of Drill Collars

8

in Collar OD or Side Length,S

1,093

lbs Bouyed W eight of Stabilizers

3

in Collar ID

10,416

lbs Available W eight from Collars & Stabilizers

N

Is(Are) the Collar(s) Square ?

8,253

lbs Available W eight from the Drillpipe

90

ft Length of Collars

18,669

lbs Total W eight Available

3

Number of Stabilizers (Same Size as Collars)

3

ft Length of Each Stabilizer

11.3

ppg Mud W eight - Outside

11.3

ppg Mud W eight - Inside

30

° Hole Inclination

Critical Rotary Speeds Of B.H.A.

8

in Collar OD or Side Length,S

146.9

ppf W eight per Foot of Drill Collars

3

in Collar ID

73,425

lbs W eight of Drill Collars

N

Is(Are) the Collar(s) Square ?

2.31

Hz Longitudinal Frequency

(7)

500

ft Length of Collars

46.2

R.P.M. Critical Longitudinal Rotary Speed

50

R.P.M. Rotary Speed

5.33

Hz Torsional Frequency

1

Order of Harmonic (1,3,5...)

106.5

R.P.M. Critical Torsional Rotary Speed

Y

Is The Bit A Tri-Cone ?

2.5

Hz Frequency Of Bit

Y

Is There A Shock Sub On The B.H.A. ?

40,000

lbs/in Enter Spring Constant For Shock Sub

Critical Rotary Speeds Of The Drillpipe

5

in Pipe OD

4.276

in Pipe ID

21

ppf W eight of Pipe

7,500

ft Length of Pipe

30

ft Langth Between Tool Joints

241.6

R.P.M. Critical Nodal Rotary Speed

34.4

R.P.M. Critical Longitudinal Rotary Speed

Fatigue Of Drillpipe

GRADE YIELD D 60,000 E 75,000

5

in Pipe OD G 105,000

4.276

in Pipe ID N 80,000

21

ppf W eight of Pipe S 135,000

14,000

ft Length of Pipe X 95,000

S

API Grade of Pipe (D,E,G,N,S,X)

30

ft Distance Between Joints

135,000

psi API Unit Yield Strength of the Pipe

8

in Collar OD or Side Length,S

5.275

in² Cross Sectional Area Of Drillpipe

3

in Collar ID

146.9

ppf W eight per Foot of Drill Collars

N

Is(Are) the Collar(s) Square ?

0.827

Bouyancy Factor

300

ft Length of Collars

333,723

lbs W eight Of String Below Dogleg

42

ft Length of Tools In Hole

276,097

lbs Bouyed W eight Of String Below Dogleg

30000000

psi Modulus Of Elastisity

52,345

psi Bouyant Tensile Stress In The Drillpipe [Teff]

(8)

11.3

ppg Mud W eight - Outside

14.269

in^4 Cross-Sectional Moment Of Inertia Of Drillpipe

11.3

ppg Mud W eight - Inside

0.0254

K

5

°/100' Dogleg Severity

12,780

psi Maximum Permissible Bending Stress [Grade E & S]

500

ft Depth Of Dogleg

2.56

°/100' Maximum Permissible Dogleg Severity [Fatigue]

2,000

lbs Maximum Lateral Tooljoint Force

1.38

°/100' Maximum Permissible Dogleg Severity [W ear]

Figure

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