Page 507 - Air and Gas Drilling Manual
P. 507

10-32    Air and Gas Drilling Manual
                                 Cased Section of the Annulus (Surface to 7,000 ft)
                                   The  first  annulus  section  increment  is  denoted  by  the  length  H 1.    The
                               temperature at the bottom  of the length H 1 in  the cased annulus section (bottom of
                               the drill pipe body lumped geometry), T 1, is
                                                 .
                                      T 1  T r  001  H 1
                                                   (
                                                 .
                                      T    T    0 01 6 650)
                                                     ,
                                       1    r
                                              .
                                      T 1  570 91˚R
                               The average temperature of this cased annulus section H 1 is
                                            T r  T 1
                                      T
                                       av1
                                               2
                                      T av1  537 66˚R
                                               .
                                   In  order  to  obtain  the  approximate  value  of  the  Fanning  friction  factor  for
                               Equation 6-88, it is necessary to  estimate the Reynolds number and, thus,  the flow
                               conditions  in  the  cased  annulus  section  along  H 1.    This  is  accomplished  by
                               determining  the  Reynolds  number  at  the  exit  end  of  this  annulus  section  and
                               assuming this  Reynolds number approximates  the  flow  conditions  throughout  the
                               annulus section.
                                   Using Equation 4-11, the approximate specific weight of the gas as it  exits this
                               cased annulus section and starts into the Tee is determined from P Tee.  This is
                                             (,   .  )  (  .
                                              7 303 1 1 0)
                                       ga1
                                               .
                                                      .
                                             ( 53 36) ( 537 66)
                                             0 271 lb/ft  3
                                             .
                                       ga1
                               The volumetric flowrate of the gas as it  exits this  cased annulus section and  starts
                               into the Tee is
                                             w ˙  g
                                      Q
                                       ga1
                                              ga1
                                              .
                                             1 821
                                      Q
                                       ga1
                                             0 271
                                              .
                                                  3
                                      Q      671 ft /sec
                                              .
                                       ga1
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