Page 203 - Air and Gas Drilling Manual
P. 203

Chapter 5: Shallow Well Drilling Applications    5-45
                                                                         516
                                                                . )
                                                                           .37
                                                                                    
                                                                                   
                                      P in  =      (, 7 474 ) 2  + ( , 9 592 ) (516 37  2     e   )  2  (. 0 019 ) ( , 2 400 )  −  1       . 05
                                                            2
                                                                ) ( , 2 400
                                                             (. 0 019
                                                          e   516 .37              
                                                                                   
                                                                                   
                                                     2
                                      P in  = 21 350 lb/ft abs
                                             ,
                                            P in
                                      p in  =
                                            144
                                      p in  = 148 3 psia
                                              .
                                   The above  pressure  is  the  approximate  injection  pressure  into  the  top  of  the
                               inside of the drill string.  Again, these calculations have been carried out  neglecting
                               the drill collar outside and inside diameters.  Also, the calculations have ignored the
                               existence of a blooey line type structure.  These minor losses are not  important for
                               shallow drilling  operations.   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  less  than  the  capability  of  this
                               reciprocating piston compressor (i.e., 350 psig), therefore, the compressor is  capable
                               of  producing  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 4,000 ft surface elevation.  The prime mover for
                               this compressor is a diesel fueled, turbocharged, Caterpillar Model D353 with a peak
                               output of 270 horsepower at 1,000 rpm (at API standard conditions).  The theoretical
                                              ˙
                               shaft horsepower,  W ,  required  by  each  of  the  two  compressors  is  obtained  from
                                               s
                               Equation 4-35.  Equation 4-35 becomes
                                                            , 1 400 
                                                                          04
                                                   (.685 )               (. )   
                                                    12
                                                                      . 
                                            2
                                            () ( . ) 4      2       148 3  ()( . )  
                                               1
                                                                          21
                                                                            4
                                       ˙
                                      W =                                     − 1
                                        s
                                             (.)       229 .17      12 .685   
                                              04
                                                                                
                                       ˙
                                      W = 114 .1
                                        s
                               The mechanical efficiency, ε , is
                                                    v
                                      ε m  = 090
                                            .
                               From Equation 4-37, the first stage compression ratio of the compressor is
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