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Free Water Knockout (FWKO) Sizing Calculator

Arnold-Stewart Settling + Retention per API 12J & ASME VIII

Size a free water knockout vessel instantly. Horizontal or vertical FWKO sizing using the Arnold-Stewart water-droplet settling relation together with retention-time volume per API 12J / GPSA. Includes Stokes' law settling velocity, ASME VIII Div 1 shell thickness, and API RP 14E nozzle-momentum check.

Flow Rates & Conditions

BOPD
50 – 50,000 BOPD typical
BWPD
0 – 100,000 BWPD typical
MMSCFD
Above 0.5 MMSCFD a 3-phase separator is preferred
psig
25 – 1,440 psig (sets ANSI class & wall thickness)
°F
60 – 200 °F typical (affects viscosity)

Fluid Properties

°API
10 – 60 °API; auto-suggests retention time
1.00 – 1.20 (1.07 brine default)
cP
Blank → computed via Beggs-Robinson (dead-oil) at T & °API
µm
500 µm typical FWKO; 200 µm conservative

Design Parameters

Horizontal preferred for high water cut
min
3 – 30 min; auto sets 5/10/20/30 by gravity band
min
3 – 10 min; auto sets 3/5/10 by gravity band
2.5 – 5.0; algorithm picks nearest standard diameter
in
1/8" typical CS, 0" for stainless
ASME VIII Div 1 Table UW-12

Calculated Sizing Outputs

Vessel:
Required diameter, selected standard ID, S/S length, L/D, governing case.
Settling:
Stokes Vt, rise time, oil viscosity used.
Shell:
Wall thickness (ASME VIII UG-27), empty weight, nozzle sizes.

Design Formulas

Stokes settling velocity (water droplet through oil):

Vt (ft/s) = 1.78 × 10−6 · dm2 · ΔSG / μo

dm in µm, μo in cP, ΔSG = SGw − SGo.

Settling constraint (horizontal, Arnold-Stewart):

d · Leff = 1000 · Qo · μo / (dm2 · ΔSG)

Retention constraint (volume, horizontal half-full):

d2 · Leff = 1.42 · (Qo · tr,o + Qw · tr,w)

Shell thickness (ASME VIII Div 1, UG-27):

t = P · R / (S · E − 0.6 · P) + CA

Retention time by API gravity:
• > 35° API: 5 min oil / 3 min water
• 25 – 35° API: 10 / 5
• 15 – 25° API: 20 / 10
• < 15° API: 30 / 10

Standard diameters (in): 24, 30, 36, 42, 48, 54, 60, 72, 84, 96, 120

Design Guidelines

When to use FWKO:
• High water cut (>50%) at the inlet
• Upstream of a heater treater or production separator
• Gas rate is small (≤ ~0.5 MMSCFD) — otherwise use a 3-phase separator

Orientation:
• Horizontal: long settling path, easy access — preferred for high BWPD
• Vertical: small footprint, simpler internals — preferred for very low GOR + high gas

Viscosity warning: If oil μ > 50 cP at operating T, consider a heater treater instead of a FWKO; the settling time grows linearly with μ.

L/D: Keep horizontal L/D between 2.5 and 5. Above 5 → split into parallel vessels or switch to vertical.

Frequently Asked Questions

What is a Free Water Knockout (FWKO)?

A Free Water Knockout (FWKO) is an upstream pressure vessel that separates free (unemulsified) water from a wellhead stream before it reaches a heater treater or production separator. It operates at wellhead pressure and is sized primarily for water-from-oil settling, not for gas-liquid separation.

How is a FWKO sized?

FWKO sizing checks two constraints: (1) the Arnold-Stewart water droplet settling constraint d × Leff = 1000·Qo·μo / (dm² · ΔSG), and (2) the retention-time volume constraint d² · Leff = 1.42·(Qo·to + Qw·tw). The controlling constraint sets the vessel diameter; ASME VIII Div 1 UG-27 sets shell thickness.

What droplet size should be used to design a FWKO?

500 µm is the common design droplet for FWKO water settling. A more conservative 200 µm is used when downstream oil specifications are tight or the inlet is foamy. Heater treaters use smaller design droplets (100–250 µm) because they break tighter emulsions.

When should a FWKO be used instead of a 3-phase separator?

A FWKO is preferred when the inlet stream has high water cut (>50%) and the downstream stage (heater treater or separator) is intended to handle only the oil plus small residual water. A single 3-phase separator combines gas/oil/water in one vessel and is preferred when gas flow is significant (>0.5 MMSCFD) or water cut is moderate.