Page 424 - Air and Gas Drilling Manual
P. 424

9-28    Air and Gas Drilling Manual
                                                      lb sec
                                            0 000000251
                                            .
                                       g
                                                         2
                                                        ft
                               Using Equation 1-2, the density of the gas,   g , is
                                            0 0659
                                             .
                                       g
                                              .
                                            32 2
                                                   lb sec  2
                                           0 002046
                                            .
                                       g               4
                                                      ft
                               From Equation 9-7, the kinematic viscosity of the gas,   g  , is
                                            .
                                           0 000000251
                                       g
                                             0 002046
                                              .
                                                   ft 2
                                            .
                                           0 000123
                                       g
                                                   sec
                                   The kinematic viscosity of the aerated drilling  fluid (the mixture of the drilling
                               mud  and  the  compressed  air)  can  be  approximated  with  an  average  kinematic
                               viscosity  term.    This  average  kinematic  viscosity  term  can  be  approximated  by
                               weight averaging the separate viscosities with the weight rates of flow of the separate
                               fluids.  Therefore, the average kinematic viscosity at the exit end of the surface return
                               flow line,   sr , is
                                           w ˙  g  g  w ˙  m  m
                                                                                        (9-12)
                                       sr
                                              w ˙  g  w ˙  m
                               The average kinematic viscosity at the exit end of the surface return flow line,   , is
                                                                                         sr
                                                  0
                                            ( .282 )( .000123 )  (31 .92 )( .0002691 )
                                                                    0
                                            1
                                       sr
                                                       . 1 282  31 .92
                                                    2
                                            0 000263 ft /sec
                                             .
                                       sr
                                   The average velocity of  the  aerated  drilling  fluid  (the  mixture  of  the  drilling
                               mud and the compressed air) as the mixture exits the end of the surface return flow
                               line into the atmosphere,  V , is
                                                   sr
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