Page 178 - Air and Gas Drilling Manual
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5-20    Air and Gas Drilling Manual
                                   It is only necessary to obtain the approximate minimum volumetric flow rate for
                               a  drilling  operation.    The  borehole  is  never  drilled  with  only  the  minimum
                               volumetric  flow  rate.    Primary  compressor  units  have  fixed  volumetric  flow  rate
                               outputs  and  it  is  operationally  inefficient  to  vent  excess  compressed  air  to  the
                               atmosphere.    Erosion  of  the  drill  string  or  the  rock  formations  is  usually  not  a
                               consideration.   Therefore, compressor units  are  selected  to  give  a  total  volumetric
                               flow rate that exceeds the required minimum volumetric flow rate.
                                   Figure 5-2 gives the minimum  volumetric  flow  rates  of  air  for  a  4  3/4  inch
                               openhole borehole with a 2 3/8 inch drill  pipe.    The flow rate is  determined for the
                               maximum depth of the well which is 1,200 ft.  The annulus around the drill  collars
                               at the bottom  of the drill  string will  have higher air velocities than in  the annulus
                               around the drill pipe.  But this is a small effect.  Thus,  ignoring the drill  collars in
                               the drill  string when determining the  minimum  volumetric  flow  rate  for  the  well
                               geometry yields a value that is conservative (i.e., a value that is  slightly  higher than
                               the actual minimum  required).   Therefore, Figure 5-2 can be used to  determine the
                               approximate minimum volumetric flow rate of air for this example drilling operation.
                                   Since  the  figures  are  developed  assuming  sedimentary  rock,  the  drilling  rate
                               must be adjusted for drilling metamorphic rock.  Equation 5-4 shows that the weight
                               rate of flow of solid rock cuttings is linear with the specific gravity of the rock being
                               drilled.  The  metamorphic  rock  formations  to  be  drilled  have  an  average  specific
                               gravity of 3.0.  The adjusted drilling rate to compensate for the heavier rock type to
                               be drilled is (see Equation 5-4)

                                               30.  
                                      K a  = 30
                                               27.  
                                             .
                                      K a  = 33 3 ft/hr
                                   Using Figure 5-2, the approximate minimum volumetric flow rate for drilling  at
                               a depth of 1,200  ft for an adjusted drilling  rate of 33.3  ft/hr is  approximately  378
                               scfm.  This  is  the minimum  flow rate for sea level  air  (API  standard  conditions).
                               But the drilling location is at 6,000 ft above sea level and the day time  temperature
                               is 70˚ F.  Thus,  the above minimum  volumetric flow rate must  be adjusted for the
                               atmospheric conditions that exist at the drilling  location (i.e.,  to  obtain  the  actual
                               cubic feet per minute, acfm).  In Illustrative Example 5.1 the specific weight of air at
                                                                       3
                               API standard conditions was found to  be 0.0763  lb/ft .  Table 4-1 gives an average
                               atmospheric pressure of 11.769 psia for a surface location of 6,000 ft above sea level
                               (mid  latitudes  North  America)  (also  see  Appendix  D).    The  actual  atmospheric
                               pressure for the air at the drilling  location (that will  be utilized by the compressor),
                               P at, is

                                             .
                                      p at  = 11 769 psia
                                      P at  =  p 144
                                             at
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