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STANDARD HANDBOOK OF PETROLEUM & NATURAL GAS ...

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HP, = 217( -) 1421<br />

2842<br />

Downhole Motors 873<br />

= 108.5<br />

and from Equation 4-149 for the 14-lb/gal mud weight<br />

HP, = 108.5( $)<br />

= 152<br />

Pressure Drop. Table 4-110 shows that the 212-stage turbine motor has a<br />

pressure drop of 1,324 psi for the circulation flowrate of 400 gal/min and a<br />

mud weight of 10 lb/gal. The pressure drop for the 106 stage turbine motor<br />

should be roughly proportional to the length of the motor section (assuming<br />

the motor sections are nearly the same in design). Thus the pressure drop in the<br />

106-stage turbine motor should be proportional to the number of stages.<br />

Therefore, the pressure drop should be<br />

= 662 psi<br />

and from Equation 4-151 for the 14-lb/gal mud weight<br />

Ap = 662( s)<br />

= 927 psi<br />

The last column in Tables 4-110 and 4-111 show the thrust load associated<br />

with each circulation flowrate (Le., pressure drop). This thrust load is the result<br />

of the pressure drop across the turbine motor rotor and stator blades. The<br />

magnitude of this pressure drop depends on the individual internal design<br />

details of the turbine motor (i.e., blade angle, number of stages, axial height of<br />

blades and the radial width of the blades) and the operating conditions. The<br />

additional pressure drop results in thrust, T (lb), which is<br />

T = xriAp (4-1 52)<br />

Example 2<br />

A 6$-in. outside diameter turbine motor (whose performance data are given in<br />

Tables 41 10 and 41 11) is to be used for a deviation control direction dritling operation.<br />

The motor will use a new 8-$-in. diameter diamond bit for the drilling<br />

operation. The directional run is to take place at a depth of 17,552 ft (measured

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