Page 420 - Air and Gas Drilling Manual
P. 420

9-24    Air and Gas Drilling Manual
                               7,000  ft  to  10,000  ft  and  determine  the  derated  power  available  from  the  prime
                               mover.
                                 General Data
                                   The solution  to  a full friction aerated drilling  problem must  be carried  out  by
                               trial and error.  The trial and error technique requires the selection of the magnitude
                               of the volumetric flow rate of the compressed air, q g,  that will result in  a bottomhole
                               pressure in the annulus of 3,500 psig.  This trial and error technique further requires
                               that the upper limit  pressures in  each depth interval be selected so that  the  overall
                               interval  integrals  are  satisfied.    The  trial  and  error  q g  that  will  satisfy  these
                               limitations is
                                            ,
                                      q    1 168 acfm
                                       g
                               The volumetric flow rate of the compressed air, Q g, in consistent units is
                                            1 168
                                            ,
                                      Q g
                                             60
                                                 3
                                      Q g  19 47 ft /sec
                                             .
                                   Table 4-1 gives an  average  atmospheric  pressure  of  12.685  psia  for  a  surface
                               location  of  4,000  ft  above  sea  level  (mid  latitudes  North  America)  (also  see
                               Appendix D).   The actual atmospheric pressure  for  the  air  at  the  drilling  location
                               (that will be used by the compressor), P at, is

                                      p at  12 685 psia
                                             .
                                      P     p 144
                                       at    at
                                                     2
                                      P at  1 826 6 lb/ft abs
                                            ,
                                                .
                               The actual atmospheric temperature of the air at the  drilling  location  (that  will  be
                               used by the compressor), T at, is
                                      t at  60˚F

                                                   .
                                      T     t    459 67
                                       at   at
                                      T at  519 67.˚R

                               Thus, P g and T g become
                                                          2
                                      P g  P at  1 826 6 lb/ft abs
                                                 ,
                                                     .
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