As with vertical two-phase separators, a minimum diameter must be maintained to assure adequate gas capacity. In addition, vertical threephase separators must maintain a minimum diameter to allow the 500 micron water droplets to settle. The height of the three-phase separator is determined from retention time considerations.

*Gas Capacity*

The gas capacity constraints provide the following formula

*Settling*

The requirement for settling water droplets from the oil requires that the following equation must be satisfied:

*Retention Time*

*Seam-to-Seam Length and Slenderness Ratios*

As in the case of a vertical two-phase separator, the seam-to-seam length (Lss) can be approximated from the geometry once h0 and hw are chosen. For screening purposes it can be assumed that Lss is the larger of the two values in the following equations:

where d is the minimum diameter for gas capacity.

Any d larger than that calculated by Equation 5-9 and 5-10 and that satisfies Equation 5-12 is acceptable. Diameter should be chosen with slenderness ratios less than 4. Most vertical three-phase separators have slenderness ratios on the order of 1.5 to 3 to keep within reasonable height restrictions.

**Procedure for Sizing Three-Phase, Vertical Separators**