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STANDARD HANDBOOK OF PETROLEUM & NATURAL GAS ...

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956 Drilling and Well Completions<br />

6 ft per 3,000 ft drilled at no deviation to 24 ft per 3,000 ft drilled at 55" of<br />

deviation. The reference position is given by the inertial Ferranti platform FINDS<br />

[lll]. A large dispersion is noted on the 102 wells surveyed.<br />

When the borehole is vertical and a kickoff must be done, a mud motor and<br />

bent sub are generally used. To orient the bent sub in the target direction, the<br />

gravity toolface is undetermined according to Equation 4-176. Up to about 5"<br />

or 6" of deviation the magnetic tool face is used. The magnetic tool face is the<br />

angle between the north vertical plane and the plane defined by the borehole<br />

(vertical) and the mud motor or lower part of the bent sub if the bent sub is<br />

located below the mud motor. After reaching 5" or 6" of inclination the surface<br />

computer is switched to the gravity tool face mode.<br />

Drilling Parameters<br />

The main drilling parameters measured downhole are:<br />

weight-on-bit<br />

torque<br />

bending moment<br />

mud pressure<br />

mud temperature<br />

Strain gages are usually used for the first four measurements.<br />

Strain Gages. Strain gages are used to measure the strain or elongation caused<br />

by the stress on a material. They are usually made of a thin foil grid laid on a<br />

plastic support as shown in Figure 4-259. They are the size of a small postal<br />

stamp and are glued to the structure to be stressed.<br />

The sensitive axis is along the straight part of the conducting foil. When<br />

elongated, this conducting foil increases in resistance. The change in resistance<br />

is very low. Two gages are usually used and mounted in a Wheatstone bridge.<br />

Two more gages not submitted to the strain are also used to compensate for<br />

temperature variation. The change in resistance for one gage is given by<br />

F*R.o<br />

AR = (4-192)<br />

E<br />

where AR = resistance change in R<br />

F = gage factor<br />

R = gage resistance in R<br />

E = Young modulus in psi or Pa<br />

o = stress in psi or Pa<br />

Demonstfation. The gage is a platinum gage with F = 4, R = 50 a. The structure<br />

measured is steel with E = 30 x lo6 psi. If the stress is 1000 psi, the resistance<br />

change is<br />

AR = 0.0067 R<br />

For constantan, the gage constants are usually F = 2, R = 100 R.<br />

Weightsn-Bit. Weight-on-bit is usually measured with strain gages attached to<br />

a sub subjected to axial load. The axial load is composed of three parts:

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