Page 490 - Air and Gas Drilling Manual
P. 490

w ˙
                                             g
                                      Q
                                       g
                                             g
                                             .
                                            1 456              Chapter 10: Stable Foam drilling    10-15
                                      Q
                                       g
                                             .
                                            0 0659
                                                  3
                                      Q g   22 11 ft /sec
                                             .
                                      q g  Q 60
                                            g
                                            ,
                                      q  g  1 327 acfm
                                   With the above values, Equation 10-1 can be used to  obtain by trial and  error
                               the bottomhole pressure.  Equation 10-1 is rearranged in the form
                                          T av    P bh
                                   Q g  P g    ln         g  H   w ˙ w  w ˙ s  H  P bh  P bp  Q w
                                          T       P
                                           g       bp
                               In the above, P s has been replaced by P bp,  ˙ w  replaced by  ˙ w ,  and Q f replaced by
                                                                             w
                                                                 f
                               Q w.
                                   All values in the above equation are known except for bottomhole pressure P bh.
                               The  value of P bh must  be obtained by a trial and  error  process.    The  bottomhole
                               pressure is assumed to be
                                      p    547  psig
                                       bh
                               or

                                                    .
                                      p bh  547   12 685
                                               .
                                      p     559 685 psia
                                       bh
                                      P bh  p bh  144
                                      P     (559 .685 144
                                                  )
                                       bh
                                                     2
                                      P     80 595 lb/ft abs
                                              ,
                                       bh
                                   Substituting the values of H,  ˙ w ,  ˙ w ,  g, Q g, Q w, P g, P bp, P bh, T g,  and T av into
                                                              s
                                                          w
                               the above equation yields
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