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Retention Time Constraint
            The separator size must provide sufficient space for the oil and water such
            that each phase is retained within the separator for the desired retention time.
            The assumption that the liquid will occupy half of the separator volume,
            which was used for two-phase separators, is also used here. However, in the
            present case, both oil and water occupy that volume. Therefore, the volume
            occupied by the liquid phase (both oil and water), V l , in a separator having a
            diameter, D (in.), and effective length, L (ft), is given by

                             D    2
                 V l ¼ 0:5      L     ft 3
                         4  12
                                          3
            Because 1 barrel (bbl) ¼ 5.61  ft ,
                               4
                                  2
                 V l ¼ 4:859   10 D L   bbl                              ð14Þ
            The volume of separator occupied by oil, V o , is the product of the oil flow
            rate, Q o , and the oil retention time, t o .If Q o is in barrels per day (BPD)
            and t o is in minutes, then

                       t o Q o
                 V o ¼          bbl                                      ð15Þ
                     24   60
            Similarly, the volume of separator occupied by water, V w , is the product of
            the water flow rate, Q w , and water retention time, t w :

                       t w Q w
                 V ¼            bbl                                      ð16Þ
                  w
                      24   60
            Because V l ¼ V o þ V w ,
                           4  2   Q o t o þ Q w t w
                 4:859   10 D L ¼
                                    24   60
            Therefore,
                  2                          2
                 D L ¼ 1:429ðQ o t o þ Q w t w Þ  in: ft                 ð17Þ
            Again, using diameters smaller than the maximum diameter determined
            from the above water droplet settling constraint, Eq. (12) is used to
            determine possible diameter and length combinations that satisfy the
            retention time constraint.
                 The procedure for determining the diameter and length of a three-phase
            horizontal separator can, therefore, be summarized in the following steps:
                 1. Determine the value of A w /A from Eq. (11).
                 2. Use Figure 6 to determine the value of H o /D for the calculated
                    value of A w /A.






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