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STANDARD HANDBOOK OF PETROLEUM & NATURAL GAS ...

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Downhole Motors 895<br />

3000<br />

.-<br />

n<br />

v)<br />

a<br />

U<br />

v)<br />

0 2000<br />

-I<br />

a<br />

L.<br />

3<br />

v)<br />

v)<br />

2<br />

a 1000<br />

-<br />

c m<br />

0<br />

!-<br />

0<br />

q (QPm)<br />

Figure 4-208. 6-in. liner, total pressure loss vs. flowrate, Example 4.<br />

(Courtesy Smith International, Inc.)<br />

the allowable maximum pressure for the particular liner size. The vertical<br />

straight line is the allowable maximum volumetric flowrate for the particular<br />

liner size. Only circulation flowrates that are in the lower left quadrant of the<br />

figures are practical. The highest circulation flowrate (which produces the<br />

highest positive displacement motor horsepower) is found in Figure 4-209, the<br />

6%-in. liner. The optimal circulation flow rate is 348 gal/min.<br />

Positive Displacement Motor Performance. Using the positive displacement<br />

motor performance data in Table 4-114 and the scaling relationships in Equations<br />

4-168 through 4-170, the performance graph for the positive displacement<br />

motor operating with a circulation flowrate of 348 gal/min can be prepared.<br />

This is given in Figure 4-213.<br />

Bit Nozzle Sizes. The pressure loss through the bit must be 500 psi with a<br />

circulation flowrate of 348 gal/min with 11.6-lb/gal mud weight. The pressure<br />

loss through a roller rock bit with three nozzles is (see the section titled “Drilling<br />

Bits and Downholes Tools”)<br />

(rex1 continued on page 898)

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