Page 613 - Air and Gas Drilling Manual
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particularly the case when drilling at shallow depth with  high  volumetric flow rates
                               of air or gas.  At shallow  depth  the  bottomhole  annulus  pressure  is  low  and  the
                               turbine must be choked in order to limit the torque and power in the gear box and at
                               the drill bit.            Chapter 11: Specialized Drilling Equipment    11-51
                                   Illustrative  Example  11.3  Determine  the  injection  pressure  and  resulting
                               compressor  fuel  consumption  when  a  Rift  Pneumatics  Model  650,  6  1/2  inch
                               outside diameter, downhole pneumatic turbine motor is utilized to drill the openhole
                               interval from 7,000 ft to 10,000 ft of the Illustrative Example 8.3  series in  Chapter
                               8.    The gear box  for  this  motor  has  a  112.5  to  1  reduction  ratio.    The  positive
                               displacement motor is  to  use a 7  7/8 inch tri-cone roller cutter drill  bit  to  drill  at
                               10,000  ft.    It  is  required  that  the  downhole  motor  develop  approximately  28
                               horsepower when drilling  under  load.    In  the  Illustrative  Example  8.3  series  two
                               semi-trailer mounted Dresser Clark  Model  CFB-4,  four-stage,  reciprocating  piston
                               compressors where selected.  Each of these compressors where driven by a Caterpillar
                               Model D398 diesel fueled prime mover.  These two compressor units provide a total
                               of 2,400 acfm to the borehole.   The drilling  location is  at 4,000  ft above sea level.
                               The annulus solution given in Illustrative Example 8.3b will  be used as the starting
                               point for this example.
                                   Figure 11-14 shows the power performance plot  of the Model 650,  6 1/2  inch
                               outside diameter, downhole pneumatic turbine  motor  actuated  with  a  flow  rate  of
                               2,400 acfm (at a surface location of 4,000 ft, i.e., 2.635 lb/sec).  In order to  obtain a
                               28 horsepower output  at the drive shaft, the  governor  is  set  to  give  a  drive  shaft
                               speed of about 40 rpm.  This would limit  the turbine rotor speed to  4,500  rpm.    It
                               should be noted that a higher weight rate of flow of air or gas will  result in  a larger
                               power parabola than that shown in  Figure 11-14.    The  larger  power  parabola  will
                               have  a  higher  peak  power  (that  occurs  at  a  higher  drill  bit  speed)  and  a  higher
                               theoretical runaway speed (where there is no load on the motor).    Likewise, a lower
                               weight rate of flow of air or gas will result in a smaller power parabola.
                                   In Illustrative Example 8.3b  the bottomhole annulus pressure  was  determined.
                               This annulus bottomhole pressure was found to be

                                      p a5  204 5 psia
                                               .
                                      P a5  p a5  144

                                                     2
                                              ,
                                      P     29 448 lb/ft abs
                                       a5
                                 Using the downhole pneumatic turbine motor to  drill  the borehole does not  alter
                               the annulus solution  obtained in  Illustrative Example 8.3b.   However, it  will  alter
                               the pressure calculations from the bottom  of the annulus to  the top  of the inside of
                               the drill string (the injection pressure).
                                 Drill Bit Open Orifices
                                   The downhole pneumatic turbine motor is  being used to  drill  a deep borehole.
                               Therefore, the bottomhole pressure is  high  and drill  bit  nozzles  are  not  needed  to
                               choke the motor.  The inside diameter of the open orifices, D o, is
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