Page 241 - Air and gas Drilling Field Guide 3rd Edition
P. 241

232     CHAPTER 9 Aerated Fluids Drilling




                             Equation (9-7) can be solved by trial and error. The value of q g is selected and
                           _ w g determined from
                                                         _ w g ¼ g Q g :
                                                              g
                          Substituting the values of H, _ w f ; _ w g ; _ w s ; Q f ,P s ,P bh ,T g , and T av into Equation
                          (9-7), a value of Q g can be determined. The trial and error process is carried
                          out until the right side and the left side equal each other. This gives an air
                          volumetric flow rate of
                                                                   3
                                                   Q g ¼ 6:617 actual ft =sec:
                          The air volumetric flow rate in field units is
                                                       q g ¼ 6:617Þ 60Þ
                                                           ð
                                                                ð
                                                       q g ¼ 397 acfm
                          or
                                                       q g ¼ 353 scfm:



                          SI Units
                                                                                 2
                          Table 5-1 gives an average atmospheric pressure of 8.749 N/cm abs for a surface
                          location of 1219.1 m above sea level (also see Appendix B). The actual atmo-
                          spheric pressure for the air at the drilling location (used by the compressor) is
                                                                  2
                                                   P at ¼ 8:749 N=cm abs
                                                   P at ¼ P at 10000
                                                                   2
                                                   P at ¼ 87490:0N=m abs:
                          The actual atmospheric temperature of the air at the drilling location (used by the
                          compressor) is
                                                       t at ¼ 7:08 C

                                                      T at ¼ t at þ 273:15
                                                      T at ¼ 280:23 K:
                          Thus, P g and T g become
                                                                    2
                                                  P g ¼ P at ¼ 8:749 N=cm abs
                                                  T g ¼ T at ¼ 280:23 K:

                          Using Equation (4-11), the specific weight of the gas entering the compressor
                          is

                                                                 ð
                                                         ð 87490:0Þ 1:0Þ
                                                     g ¼
                                                      g
                                                               ð
                                                         ð 29:31Þ 280:23Þ
                                                                  2
                                                     g ¼ 10:652 N=m :
                                                      g
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