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9-8    Air and Gas Drilling Manual
                               9.3  Minimum  Volumetric  Flow  Rates
                                   Most aerated drilling operations are planned with a constant volumetric flow rate
                               of incompressible drilling fluid and only the volumetric flow rate of the compressed
                               gas is allowed to vary.  The volumetric flow rate of gas is  usually increased as the
                               depth  is  increased  in  order  to  maintain  the  same  aerated  fluid  properties  in  the
                               annulus  column.    The  drill  pipe  injection  technique  requires  that  both  the
                               incompressible  drilling  fluid  injection  and  the  compressible  gas  injection  be
                               suspended when connections and trips  are made.   Similarly,  the  annulus  injection
                               technique requires that the incompressible drilling fluid injection be suspended when
                               connections  and  trips  are  made.    Further,  the  cleaning,  lifting,  and  suspension
                               capabilities of the incompressible drilling mud is in general independent of the depth
                               of drilling.    Conversely, the cleaning and lifting  capabilities of compressed gas are
                               dependent of the depth  of  drilling.    Also,  it  must  be  noted  that  compressed  gas
                               drilling fluids have little  or no suspension capabilities.  Therefore, when designing
                               an  aerated  drilling  fluid,  the  injected  compressed  gas  should  not  be  assumed  to
                               contribute to  bottomhole cleaning, lifting,  and  suspension  of  rock  cuttings  in  the
                               annulus.  The additional cleaning and lifting properties of the compressed gas to  the
                               aerated drilling fluid should be considered as a bonus.   This  argument requires that
                               the incompressible drilling fluid properties and circulation characteristics be designed
                               to  provide  the  aerated  drilling  operations  with  stand-alone  cleaning,  lifting,  and
                               suspension capabilities of the rock cuttings in the annulus.
                                 9.3.1 Discussion of Theories
                                   There are a variety of minimum volumetric flow rate theories which can be used
                               to  design incompressible drilling  fluid properties and  circulation  characteristics  for
                               direct circulation drilling  operations [10 to  12].  In  order  to  formulate  a  workable
                               procedure  for  determining  the  minimum  volumetric  flow  rates  of  incompressible
                               drilling fluid and compressed gas to  a borehole, the primary operational reasons for
                               using aerated fluid drilling should be reviewed.  These reasons are; 1) to  control loss
                               of  circulation  drilling  situations,  and  2)  to  facilitate  underbalanced  drilling
                               operations.  Although aerated fluid drilling  will  generally improve some important
                               drilling  parameters, for example penetration rate  and  openhole  wall  stability,  it  is
                               usually  not  possible  to  optimize  all  these  parameters  and  still  successfully
                               accomplish  the  primary  mission  of  either  loss  of  circulation  control,  or
                               underbalanced drilling.
                                   For  aerated  drilling  applications  the  minimum  volumetric  flow  rate  will  be
                               determined using a rather simple,  straight-forward procedure which requires that the
                               circulating incompressible fluid be capable, on its  own,  of maintaining a minimum
                               concentration of rock cuttings in  the largest annulus section of the well [13].  This
                               requires that the average velocity of the fluid,  V f, in  the largest annulus section  be
                               the sum  of the critical concentration velocity, V c, and the terminal velocity,  V t, of
                               the average size rock cutting particle in the incompressible drilling fluid.
                                   Thus, the average fluid velocity in the annulus, V f, is

                                      V    V    V                                        (9-1)
                                       f    c    t
                               where V f is the incompressible drilling fluid (ft/sec),
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