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STANDARD HANDBOOK OF PETROLEUM & NATURAL GAS ...

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Drill String: Composition and Design 745<br />

P = (418700)' - 3<br />

[ ( 8.542<br />

Due to the safety factor of 2.0 the tensile load capacity of the drill pipe is<br />

398432/2 = 199,216 lb.<br />

Example<br />

Calculate the maximum value of a rotary torque that may be applied to the drill<br />

pipe as specified in Example 5 if the actual working tension load P = 300,000 lb.<br />

(For instance, pulling and trying to rotate a differentially stuck drill string.)<br />

Solution<br />

From Equation 4-58, the magnitude of rotary torque is<br />

so<br />

(418,700' - 300,000)2<br />

4.4074 3<br />

= 353,571 in-lb or 29,464 ft-lb<br />

Caution: No safety factor is included in this example calculation. Additional<br />

checkup must be done if the obtained value of the torque is not greater than<br />

the recommended makeup torque for tool joints.<br />

During normal rotary drilling processes, due to frictional pressure losses, the<br />

pressure inside the drill string is greater than that of the outside drill string.<br />

The greatest difference between these pressures is at the surface.<br />

If the drill string is thought to be a thin wall cylinder with closed ends, then<br />

the drill pipe pressure produces the axial stress and tangential stress given by<br />

the following formulas:<br />

(For stress calculations, the pressure loss in the annulus may be ignored.)<br />

0, =<br />

'dpDdp<br />

4t<br />

(4-59)<br />

2t<br />

(4-60)<br />

where oa = axial stress in psi<br />

ot = tangential stress in psi<br />

PdP = internal drill pipe pressure in psi<br />

t = wall thickness of drill pipe in psi<br />

Ddp = outside diameter of drill pipe in in.

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