Page 488 - Air and Gas Drilling Manual
P. 488

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                                      D
                                        p
                                    The estimated drilling rate of penetration is  60 ft/hr.  The weight rate of flow
                               of solids,  ˙ w , from the advance of the drill bit is
                                        s   0 375 ft           Chapter 10: Stable Foam drilling    10-13
                                       ˙ w      D  2  62 .4  S                          (10-2)
                                       s         h      s
                                             4             (60 ) (60 )
                                       ˙ w       . 0 656  2  62 .4  . 2 7  60
                                       s
                                             4                   60  60
                                       ˙ w  . 0 949 lb/sec
                                       s
                                   Although the non-friction solution is less complex than the friction solution,  it
                               is still necessary to use trial and error to obtain the value of the incompressible fluid
                               (in this example fresh water with surfactant) volumetric flow rate required to yield an
                                                                                            3
                               annulus bottomhole kinetic energy per unit  volume  of  approximately  3.0  ft-lb/ft .
                               Also,  the bottomhole  foam quality must  be greater than 0.60.    Note that since the
                               surface foam quality is  defined as 0.98,  the volumetic fow rate of the compressible
                               gas (air) is defined when the incompressible fluid is defined.
                                   It is  assumed that the volumetric flow rate of water (with surfactant),  q w,  into
                               the top of the inside of the drill string is
                                      q  w  84 0 gal/min
                                             .
                               The volumetric flow rate of water, Q w, in consistent units is
                                            84 0  231
                                              .
                                      Q w       3
                                             12   60
                                                  3
                                             .
                                      Q w   0 187 ft /sec
                               The specific weight of the incompressible fluid is

                                            62 4 lb/ft 3
                                             .
                                       w
                               The weight rate of flow of the incompressible fluid is
                                       ˙ w    Q
                                       w     w  w
                                       ˙ w w  (62 4   )
                                              . ) ( . 0 187
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