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STANDARD HANDBOOK OF PETROLEUM & NATURAL GAS ...

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MWD and LWD 957<br />

FOIL GRID<br />

PATTERN<br />

TERMINAL<br />

WIRE<br />

I<br />

0 * fr<br />

INSULATING LAYER<br />

AND BONDING CEMENT<br />

<<br />

I<br />

NEUTRAL<br />

AXIS<br />

STRUCTURE<br />

UNDER<br />

BENDING<br />

Figure 4-259. Sketch of principle of glued foil strain gage transducers.<br />

1. weight on bit proper<br />

2. end effect due to the differential internal pressure in the drill collar<br />

3. hydrostatic pressure effects<br />

Hydraulic lift must also be taken into account when using diamond bits and<br />

PDC bits. The weight-on-bit varies between 0 and 100,000 lb or 0 and 50 tonforce.<br />

The end effect is due to the differential pressure between the drill collar<br />

internal pressure and the external hydrostatic pressure. This differential pressure<br />

acts on the sub internal cross-sectional area.<br />

Demonstration. The WOB sub internal diameter is 3.5 in.; the differential<br />

pressure is 1,000 psi; the downward force acting to elongate the sub is<br />

R<br />

F, = -(3.5)* x 1,000 = 9.621 lb<br />

4<br />

The hydrostatic pressure has two effects: an upward force acting on the wall<br />

cross-section of the sub, and a downward stress due to the lateral compression<br />

of the subwall.<br />

Demon8tratioff. The sub has an ID of 3.5 in. and OD of 6 in. The area of the<br />

wall is 18.65 in.* For a 10,000-ft well with a 10-lb/gal mud

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