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STANDARD HANDBOOK OF PETROLEUM & NATURAL GAS ...

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838 Drilling and Well Completions<br />

Ap, = [( (1.6)(468.42) (3)(0.729)+1<br />

3.826 )( (4NO.729)<br />

= 94.32 psi<br />

(0.43)( 5000)<br />

(300)( 3.826)<br />

Flow inside the drill collars<br />

It is easy to check that the flow is turbulent and thus Equation 4-114 is chosen<br />

to calculate the pressure loss Ap2.<br />

AP2 =<br />

(7.7 x 10~5)(100~8)(27)0~2(280)'~8(500) = 243.23psi<br />

(2. 25)4.8<br />

Annulus flow around the drill collars<br />

To calculate the critical velocity, Equation 4-1 11 was used<br />

] I/(% 0.729) [<br />

2.4 (2)(0.729)+1] 0.721y(2-0.729)<br />

(3.878)( lo4 )(O. 433)<br />

vc=[ 10 8.5 -6.75 (3)(0.729)<br />

= 441.79ftJmin = 7.36ftJs<br />

Since v < vc, the flow is laminar and Equation 4-109 is chosen to calculate<br />

the pressure loss Ap,.<br />

[(2.4)(25.92)(2)(0.729)+ 1<br />

*" = (8.5-6.75) (3)(0.729)<br />

= 32.27 psi<br />

10.729<br />

(0.433)500<br />

(300)(8.5- 6.75)<br />

Annulus flow around the drill pipe in the open hole section<br />

It is found from Equation 4-111 that the flow is laminar, thus Equation 4109<br />

can be used<br />

[ (2.4)( 131.87) (2)(0.729) + 1<br />

= (8.5 - 4.5) (3)(0.729)<br />

= 9.51 psi<br />

0.729<br />

(0.433)lOOO<br />

(300)(8.5 - 4.5)<br />

Annulus flow around the drill pipe in a cased section<br />

It is found from Equation 4-111 that the flow is laminar, thus Equation 4-109<br />

can be used.

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