Page 498 - Air and Gas Drilling Manual
P. 498

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                                 Surface Return Flow Line sec  Chapter 10: Stable Foam drilling    10-23
                                   The calculation procedure must be initiated with the known back pressure in  the
                               surface return flow line.  It is assumed that the foam will  exit the well annulus and
                               enter the surface return flow line at the surface geothermal temperature of 44.74˚F  (or
                               504.41  R).    It is  further assumed  that  the  temperature  of  the  foam  in  the  surface
                               return flow line does not  change as it  flows through the return flow  line  (i.e.,  the
                               steel surface return flow line will  be at nearly the surface geothermal temperature at
                               steady state flow conditions).  Equation 6-102 can be altered to  allow its  application
                               to horizontal flow in the surface return flow line.  This altered equation is
                                       P s  dP    L s
                                                     dl                                 (10-4)
                                            P
                                         B ()     0
                                       P g  s
                               where
                                                                                        2 !
                                                                       P g  T r
                                                                                Q g  Q m
                                                  w ˙ t          f sr  P    T g
                                    P
                                 B ()                                                    ∀
                                  s
                                            P g  T r           2 gD sr          2
                                                     Q g  Q m               4  D sr
                                            P    T g
                                                                                         #
                                                                                      2
                                 and   P  is the pressure at the entrance of the surface return flow line (lb/ft , abs),
                                     sr
                                     f  is the Fanning friction factor for flow in the surface return flow line,
                                     sr
                                     D  is the inside diameter of the surface return flow line (ft),
                                      sr
                                     L  is the length of the surface return flow line (ft).
                                      sr
                                   In  order  to  obtain  the  approximate  value  of  the  Fanning  friction  factor  for
                               Equation 10-4, it is necessary to  estimate the Reynolds number and, thus,  the flow
                               conditions inside the surface return flow line.  This  is  accomplished by determining
                               the Reynolds number near the exit end just  upstream of the back pressure valve.   It
                               is assumed this Reynolds number approximates the flow conditions throughout the
                               flow line.
                                   The inside diameter of the surface return flow line,  D , is
                                                                         sr
                                             .
                                      d  sr  5 625 inches
                                             .
                                            5 625
                                      D sr
                                             12
                                      D sr  0 469 ft
                                             .
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