Page 85 - Handbook Of Multiphase Flow Assurance
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80                             4.  Hydraulic and thermal analysis

                                 40
                                       V SL  =0.9 m/s,  V SG  =0.2 m/s
                                 35

                                 30
                               Pressure, [psia]  25
                                 20

                                 15
                                                                         No Modification
                                 10                                      Modification One
                                                                         Modification Two
                                  5
                                                                         Modification 3
                                  0
                                   0     50     100    150    200    250    300    350
                                                          Time, [s]
                 FIG. 4.6  Effect of flowline arrangement on backpressure fluctuations.

                   Besides severe slugging or liquid loading control, the method may be extended to optimize
                 gas lift effectiveness as in riser-based gas lift systems. Method may help extend production of
                 tiebacks with terrain slugs or declining and water-producing fields by recovering loaded up
                 production stopped by severe slugging. Method may help reduce slug vibration by breaking
                 large slugs into smaller ones, or to homogenize multiphase flow at subsea boosting pump
                 intake. With no moving parts or electronics, the method is expected to have higher reliability.


                 Multiphase flow liquid holdup—Vertical vs horizontal
                   In steady state operation the holdup averaged over large length does not change in ver-
                 tical or horizontal flow, however local holdup can change in slug or churn flow. Multiple
                 correlations have been developed to calculate the liquid holdup value in either vertical or
                 horizontal configuration. Liquid holdup and entrainment in vertical flow are related to the
                 liquid loading of wells.
                   A correlation developed by Turner et al. (1969) based on Hinze (1955) flow equations by
                 balancing gravity and drag forces acting on a droplet and updated by Coleman et al. (1991)
                 allows one to estimate the minimum gas velocity in a well at which liquid entrainment will
                 be sufficient to lift the liquids to surface. The Turner correlation was found to have a closer
                 match to field data in Marcellus shale (Child and Brauer, 2017). It may be used with well-
                 head pressures over 1000 psi or 70 bar to find the minimum gas velocity u in feet per second
                 to lift water or oil.

                                                      1        1
                                                     σ 4  (ρ  − ρ G ) 4
                                             u = 1 912   L
                                                 .
                                                           1
                                                          ρ G 2
                   The density of gas is proportional to pressure, and densities of liquid may be assumed
                           3
                                              3
                 as 45 lb m /ft  for oil and 67 lb m /ft  for salt water. As the typical surface tension for gas-oil is
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