Page 234 - Air and Gas Drilling Manual
P. 234

5-76    Air and Gas Drilling Manual
                                              .
                               This is the pressure at the bottom of the inside of the drill string just  above the drill
                               bit.    p ai  = 37 7 psia
                                   With the large center opening in the drill bit, the pressure change in  the air flow
                               from the bottom of the annulus to the bottom of the inside of the drill  string (inside
                               the drill  bit) is  assumed to  be  negligible.    The  inside  of  the  bottom  of  the  drill
                               string at the drill bit is assumed to  have the same pressure as that at the bottom  of
                               the annulus.  Thus,
                                              .
                                      p bh  = 37 7 psia
                                      P bh  =  p bh  144
                                                    2
                                      P bh  = 5 421 lb/ft abs
                                             ,
                                   The annulus of this  borehole is  approximated by the diameter  of  the  borehole
                               (drill bit  diameter) and the outside diameter of the drill  pipe.    The  210  ft  of  drill
                               collars is ignored.  The drill pipe is API 5  1/2 inch,  24.70  lb/ft  nominal,  IEU, FH,
                               Grade E drill pipe (see Table B-4).  The outside diameter of the drill pipe, D p, is

                                      d  p  = 550 inches
                                            .
                                            d p
                                      D  =
                                        p
                                            12
                                             .
                                      D p  = 0 458 ft
                                   The injection pressure, P in, into the top of the annulus space is determined from

                                                        2  aH    05 .
                                                           a
                                              2  +  2  e   T av  
                                              P bh  b T av    −  1   
                                                   a
                                                                
                                      P in  =       2  aH                            (5-16)
                                                       a         
                                                   e  T av       
                                                                 
                                                                 
                               where
                                           S g
                                      a a  =                                           (5-17)
                                            R
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