Page 237 - Air and Gas Drilling Manual
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Chapter 5: Shallow Well Drilling Applications    5-79
                               leading to the top of the borehole annulus and the vent line leading from the top  of
                               the  drill  string.    These  losses  are  not  important  for  shallow  drilling  operations
                               (Chapter 8 calculation examples will  consider these losses which become important
                               for deep boreholes).  Therefore, the above pressure slightly  underestimates the actual
                               pressure that is seen at the pressure gauge just  downstream of the compressor.   The
                               above injection pressure is significantly less than the capability of this  reciprocating
                               piston  compressor  (i.e.,  1,000  psig),  therefore,  the  compressor  is  capable  of
                               producing  the  above  injection  pressure  (the  maximum  pressure  capability  of  a
                               reciprocating piston compressor is not derated with surface location elevation as long
                               as the prime mover has the power necessary to produce the required pressure).
                                   The last criteria to check is whether the prime mover of this  primary compressor
                               unit has the power to operate at the 2,000 ft surface elevation.  The prime mover for
                               this compressor is a diesel fueled, turbocharged, Caterpillar Model D398 with a peak
                               output  of  760  horsepower  at  900  rpm  (at  API  standard  conditions).    The
                               reciprocating piston  compressor is  not  limited  by its  maximum  pressure  capability
                               but  more  by  the  prime  mover  capability  to  produce  the  power  required  by  the
                                                                       ˙
                               compressor shaft.  The theoretical shaft horsepower,  W ,  required by  the compressor
                                                                       s
                               is obtained from Equation 4-35a.  Equation 4-35a becomes
                                                                          04
                                                                         (. )
                                                    13
                                            4
                                            () ( . ) (.662 ) (1 200 )      34 .9    ()( . )   
                                                           ,
                                               1 4
                                                                         41
                                                                           4
                                      W =                                    − 1
                                       ˙
                                        s
                                             (.)       229 .17     13 .662   
                                              04
                                                                               
                                       ˙
                                      W = 69 .4
                                        s
                               The mechanical efficiency, ε , is
                                                    m
                                      ε m  = 090
                                            .
                               The first stage compression ratio of the compressor is
                                                  1
                                      r =   34 9 .   4
                                       s
                                             .
                                            13 662 
                                      r = 126.
                                       s
                               The  volumetric  efficiency  (only  for  the  reciprocating  piston  compressor),  ε , is
                                                                                          v
                               determined  from  Equation  4-38.    The  compressor  clearance  volume  ratio,  c, is
                               assumed to be 0.06.  Equation 4-38 becomes
                                                             1    
                                      ε  = 096 1  − (006   .     − 1
                                               
                                            .
                                                     .
                                                         
                                       v                ) (126 )14 .   
                                                                  
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