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BAKER HUGHES - Drilling Fluids Reference Manual

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HYDRAULICS<br />

2.<br />

V<br />

0.408( 375 )<br />

a = ---------------------------------- = 1.12 ft/ sec<br />

12.515 2 – 4.5 2<br />

Find the power law constants n and K.<br />

θ 600 = 83<br />

θ 300 = 51<br />

θ 3 = 5<br />

• Inside drillpipe and drill collar<br />

n = 3.3<br />

p 2<br />

• Annulus<br />

θ600<br />

log--------- = 3.32log<br />

83<br />

----- = 0.70<br />

51<br />

θ 300<br />

5.11 × θ<br />

K 600<br />

p = --------------------------<br />

1022 n p<br />

=<br />

5.11<br />

---------------------- × 83<br />

= 3.32<br />

1022 0.70<br />

3. Find the effective viscosity.<br />

θ300<br />

n a = 0.5 log --------- = 0.5 log<br />

51<br />

----- = 0.50<br />

5<br />

• Drillpipe<br />

θ 3<br />

5.11<br />

K × θ300<br />

a = ------------------------- = ----------------------<br />

5.11 × 51<br />

= 11.53<br />

511 n a<br />

511 0.50<br />

μe p<br />

=<br />

100K p<br />

96V<br />

------------ p<br />

D<br />

n p – 1<br />

=<br />

100 3.32 ( )<br />

96<br />

----------------------- ( 10.45 ) 0.70 – 1<br />

= 62.45 c p<br />

3.826<br />

• Drill collar<br />

μ ep<br />

= 100( 3.32<br />

96 19.34<br />

) ------------------------ ( ) 0.70 – 1<br />

= 47.34 cp<br />

2.8125<br />

• Annulus of drill collar and open hole<br />

144V<br />

μ e a<br />

100K a<br />

a ------------------ n a – 1<br />

=<br />

D 2 – D 1<br />

=<br />

100 11.53 ( )<br />

-----------------------------<br />

144( 3.40)<br />

0.50 – 1<br />

= 84.43 cp<br />

9.875 – 7.25<br />

• Annulus of drillpipe and open hole<br />

μ e a<br />

= 100( 11.53<br />

144 1.98<br />

) -------------------------- ( )<br />

0.50 – 1<br />

= 158.31 cp<br />

9.875 – 4.5<br />

• Annulus of drillpipe and casing<br />

μ e a<br />

= 100( 11.53)<br />

-----------------------------<br />

144( 1.12)<br />

0.50 – 1<br />

= 257.03 cp<br />

12.515 – 4.5<br />

<strong>BAKER</strong> <strong>HUGHES</strong> DRILLING FLUIDS<br />

REFERENCE MANUAL<br />

REVISION 2006 9-31

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