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The volume is also calculated by multiplying the volumetric flow rate by
            the retention time; therefore,

                          5:61  ft 3            3
                 V o ¼ Q o           t o min  ft
                        24   60 min
                          5:61  ft 3            3
                 V w ¼ Q w           t w min   ft
                         24   60 min
            Then,
                                    3
                 V o þ V w ¼ 3:896   10 ðQ o t o þ Q w t w Þ             ð25Þ
            From Eqs. (24) and (25), we obtain
                           2                         3
                 ðH o þ H w ÞD ¼ 8:576ðQ o t o þ Q w t w Þ  in:          ð26Þ
            In summary then, the diameter and seam-to-seam length of vertical three-
            phase separators are determined as follows:

                 1. Determine the minimum diameter that satisfies the water
                    droplets settling constraint from Eq. (22).
                 2. Determine the minimum diameter that satisfies the gas capacity
                    constraint from Eq. (23).
                 3. The larger of the two minimum diameters determined in steps 1
                    and 2 is then considered as the minimum allowable vessel
                    diameter.
                 4. For various values of diameter larger than the minimum
                    allowable vessel diameter, use Eq. (26) to determine combina-
                    tions of diameters and liquid heights.
                 5. For each combination, determine the seam-to-seam length from
                    the following:

                 For D > 36 in.
                          1
                     L s ¼  ðH o þ H w þ D þ 40Þ  ft                     ð27Þ
                          12
                 For D < 36 in.
                          1
                     L s ¼  ðH o þ H w þ 76Þ  ft                         ð28Þ
                          12
            Example 2
            Determine the diameter and seam-to-seam length of a three-phase vertical
            separator for the following operating conditions:
                 Oil production rate:   6000 BPD
                 Water production rate:  3000 BPD






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