Page 437 - Air and Gas Drilling Manual
P. 437

.
                                             ,
                                      p
                                       a2
                                            p
                                      P
                                               144
                                             a2
                                              ,
                                      P a2  2 022 9 psia  2     Chapter 9: Aerated Fluid Drilling    9-41
                                            291 298 lb/ft abs
                                       a2
                                   Substituting the values of  ˙ w , Q g, Q m, P g, P a1, P a2, T g, T av2, D 2, D 3, f a2, and g
                                                       t
                               into the left side of Equation 6-74 gives
                                   ,
                                !  291 298
                                #
                                #                           dP
                                #                                                  2    350
                                #                                 39 190 3 .  0 426
                                                                    ,
                                                                            .
                                #           34 15         0 021      P
                                              .
                                                          .
                                ∀ 268 632              1
                                         ,
                                       39 190 3 .
                                   ,
                                                           .
                                                                             .
                                                                   .
                                                0 426     747    % 0 668  2  0 552  2  &
                                                 .
                                          P                    4

                               Substituting the values of H 1 and H 2 into the right side of Equation 6-74 gives
                                       6 650 350
                                        ,
                                              1 dh  350
                                       6 650
                                        ,
                               As can be seen in the above, the right and left hand sides of Equation 6-74 yield the
                               same answer.  This shows that the upper limit pressure is correct.
                                 Openhole Section of the Annulus (7,000 ft to 10,000 ft)
                                   The  third  annulus  section  increment  is  denoted  by  the  length  H 3.    The
                               temperature at the bottom  of the length H 3 in  the openhole annulus  section  of  the
                               borehole (bottom of the drill pipe body lumped geometry), T 3, is
                                      T 3  T r  001 ( H 1  H 2  H )
                                                 .
                                                                3
                                                                  ,
                                      T 3  T r  0 01 6 650  350  2 375)
                                                 .
                                                     ,
                                                    (
                                      T 3  598 16.˚R
                               The average temperature of this openhole annulus section H 3  is
                                             T 2  T 3
                                      T av3
                                               2
                                      T av3  586 29.˚R
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