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36 in OD Horizontal Three-Phase Separator

ASME Section VIII Div. 1, 2023 Edition | Three-phase separator | 36 in OD x 12 ft TT, SA-516-70 N shell, 2:1 SE heads, weir-controlled oil-water, ASCE 7 wind + seismic

This worked example documents the ASME Section VIII Division 1 design of a 36 in OD by 12 ft TT horizontal three-phase separator at 200 psig and 200 °F. The vessel separates 5 MMscfd of natural gas, 1,500 BPD of oil, and 500 BPD of water using a weir baffle at 60% of vessel length from the inlet, with five process flanged nozzles plus a level instrument bridle. The shell and heads are SA-516 Grade 70 Normalized, both 0.500 in nominal, supported on two saddles at 120 ° wrap angle. Vessel MAWP is 420 psig at the shell.

The teaching content extends the smaller two-phase separator on page #02 to three-phase service and adds external loads. Section 5 contains five worked examples: the shell wall and 2:1 SE head pressure-containment calcs (examples 1 and 2), the three-phase API 12J gas-capacity and liquid-retention sizing (example 3), Stokes settling for the 500 micron water-in-oil design droplet with Ishii-Mishima drag (example 4), and the Zick saddle analysis combined with ASCE 7 wind and seismic per UG-22 (example 5). On this size of vessel the Zick stresses remain small (S3 = 2,170 psi against 25,000 allowable), and the saddle dimensions are set by anchor-bolt sizing for the ASCE 7 seismic uplift rather than by Zick stress.

Code
ASME VIII Div 1, 2023
Design Pressure
200 psig
Design Temperature
200 °F
Design MDMT
-20 °F
Rated MDMT
-55 °F at MAWP
MAWP
420 psig (shell)
Shell
36 in OD x 0.500 in, SA-516-70 N
Heads
2:1 SE, 0.500 in SA-516-70 N
Corrosion Allowance
0.0625 in
Saddle Supports
Two, 120° wrap, 8 in wide
External Loads
ASCE 7 wind 80 mph + seismic S_DS 0.8
Hydrotest
546 psig (shop)
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Calculation Walkthrough

Five sections. Each section is a collapsible block. Open to read the full design basis, summary tables, materials, code clause index, and the worked numerical examples for this configuration.

1. Design Basis and Code Compliance

Design Conditions

ParameterValueReference
Code of constructionASME Section VIII Division 1, 2023 EditionU-1, U-2
Equipment typeHorizontal three-phase separator on two saddles, weir-controlled oil-water interface
Design pressure200 psigUG-21
Design temperature200 °FUG-20(a)
Design MDMT-20 °FUG-20(b), UCS-66
Corrosion allowance0.0625 in (internal surfaces)UG-25
Joint efficiency, shell1.00 (full RT long seam)UW-12
Joint efficiency, heads1.00 (one-piece formed)UW-12
RadiographyFull RT on Cat. A welds, surface NDE on nozzle weldsUW-11, UW-50
ServiceNon-lethal, non-cyclic, three-phase oil-water-gas separationUG-22, UW-2
InstallationOutdoor, skid-mounted, sheltered locationASCE 7 wind and seismic apply

Loadings Considered (UG-22)

The vessel is analyzed for the loadings listed in UG-22. Governing loads for this configuration are:

  • Internal design pressure of 200 psig at 200 °F.
  • Weight of the vessel and its contents at design (water plus oil plus gas) and at hydrostatic test (water-full).
  • Two-saddle reactions evaluated by the Zick saddle method per nonmandatory Appendix G-1.
  • ASCE 7 wind load on the projected area at 80 mph basic wind speed (Exposure C, Category III), giving a horizontal force of approximately 510 lb on the assembled vessel.
  • ASCE 7 seismic load on the operating weight at S_DS = 0.8 g (typical western North America moderate-seismic site), with R = 3 for a non-building structure on saddles, giving a horizontal lateral force of approximately 1,150 lb at the centroid.

The wind and seismic loads are vectorially combined with the gravity reactions at the saddles per ASCE 7 load combinations. The Zick procedure is run with the resulting modified saddle reactions in worked example 5.

Toughness Basis

The Minimum Design Metal Temperature is -20 °F at the full design pressure of 200 psig. The shell and heads are SA-516 Grade 70 Normalized, Curve D under Table UCS-66. Required MDMT at the shell thickness (0.500 in nominal) is approximately -55 °F at no impact testing.

Hydrostatic Test Basis

The shop hydrostatic test follows UG-99(b):

P_test = 1.3 × MAWP × LSR = 1.3 × 420 × 1.00 = 546 psig

The Class 300 RFWN flanges have a cold rating of 770 psig at 70 °F (B16.5 Gp 1.1), well above the test pressure. SA-516 Grade 70 does not derate below 300 °F so the material LSR is 1.00.

2. Pressure and Thickness Summary

Pressure by Component

ComponentMaterialt_req (in)t_avail (in)MAWP (psig)Clause
Cylindrical shellSA-516 Gr 70 N0.1770.375420UG-27(c)(1)
2:1 ellipsoidal heads (each)SA-516 Gr 70 N0.1760.388439UG-32(d)
Cl 300 RFWN flanges (6)SA-105standardstandard720UG-44, B16.5 Gp 1.1
NPS 6 inlet, NPS 4 gas outletSA-106 Gr B< 0.05> 0.25matches shellUG-27(c)(1), UG-45
NPS 3 oil and water outletsSA-106 Gr B< 0.05> 0.20matches shellUG-27(c)(1)

The shell governs the vessel MAWP at 420 psig, twice the design pressure. The Class 300 flanges sit at 720 psig at 200 °F (B16.5 Group 1.1), comfortably above the shell capacity.

Governing Thickness, UG-16(b)

Per UG-16(b), the minimum required thickness is 0.0625 in. All components meet UG-16(b) by a wide margin.

Hydrostatic Test Summary

ComponentCalc Stress at 546 psig (psi)0.9 × S_y at 70 °F (psi)Status
Shell, UG-99 Note 3525,86032,400 (SA-516-70 N)PASS
Heads24,82032,400PASS
3. Materials and Construction

Material Schedule

ComponentSpecificationS at 200 °F (psi)UCS-66 CurveForm
ShellSA-516 Grade 70, normalized20,000D0.500 in plate, rolled and welded long seam
Heads (2 ea)SA-516 Grade 70, normalized20,000D2:1 ellipsoidal, one-piece formed, 0.500 in nominal
Weir baffle (internal)SA-516 Grade 70, normalized20,000n/a0.250 in plate, partial-height weir at 60% of vessel length from inlet
Nozzle necksSA-106 Grade B, seamless17,100BNPS 6 / 4 / 3 Sch 80 pipe
FlangesSA-10517,500BASME B16.5 RFWN Class 300, all six process nozzles
SaddlesSA-36 platen/an/a120 ° wrap, 8 in saddle width, two skid-mounted
Anchor bracketsSA-516 Grade 70 platen/an/aFour anchor brackets at each saddle, sized for ASCE 7 seismic uplift

Nozzle Schedule

TagFunctionSize and ClassLocationWeld
N1Process inlet (3-phase mixture)NPS 6 Cl 300 RFWN, Sch 80 neckShell, top, inlet endFull pen + fillet per UW-16(f)
N2Gas outletNPS 4 Cl 300 RFWN, Sch 80 neckShell, top, outlet end (downstream of mist extractor)Full pen + fillet per UW-16(f)
N3Oil outlet (downstream of weir)NPS 3 Cl 300 RFWN, Sch 80 neckShell, bottom, outlet endFull pen + fillet per UW-16(f)
N4Water outlet (boot, upstream of weir)NPS 3 Cl 300 RFWN, Sch 80 neckShell, bottom, midspanFull pen + fillet per UW-16(f)
N5Pressure relief (PSV)NPS 2 Cl 300 RFWN, Sch 80 neckShell, topFull pen + fillet per UW-16(f)
N6Level instrument bridleNPS 1 Cl 6000 threaded couplingHead, oil side and water sideFull pen + fillet per UW-16(f)

NPS 6 inlet and NPS 4 gas outlet exceed the UG-36(c)(3)(a) 3.5 in exemption limit and require UG-37 area calculations; both pass without repads on the 0.375 in corroded shell wall.

Internal Components

The vessel includes a partial-height weir baffle at approximately 60% of the vessel length from the inlet end. The weir is sized so that the oil retention zone upstream provides at least 5 minutes of residence time at design oil flow, and the oil-overflow level sets the oil-water interface in the upstream zone. Water exits the bottom upstream of the weir via N4; oil flows over the weir into the downstream zone and exits via N3. The mist extractor at the gas outlet (NPS 4) is a 6 in deep mesh pad sized for K_SB = 0.21 ft/s and 99% removal of droplets above 10 micron.

Radiography

Category A welds (long seam and head-to-shell circumferentials) are fully radiographed per UW-11(a)(1). Nozzle attachment welds are examined by surface NDE per UW-50.

Dimensional Summary

ItemValue
Shell OD36.000 in
Shell wall, nominal0.500 in
Shell wall, mill-min (-12.5%)0.438 in
Shell wall, corroded (mill-min less CA)0.375 in
Shell tangent-to-tangent length144 in (12 ft)
Head nominal thickness, 2:1 SE0.500 in
Head minimum corroded (after 10% forming thinning + CA)0.388 in
Saddle wrap angle120 °
Saddle width8 in
Saddle location, A (head tangent to saddle centerline)24 in
Internal volume, new (shell + 2 heads)151,000 in³ (654 US gal)
Empty weight, new3,030 lb
Operating weight (gas + oil + water at design level)~6,500 lb
Test weight, water-filled8,490 lb
4. Calculations Performed (Code Clause Index)

Every clause applied in the analysis, grouped by topic.

Wall Thickness

ClauseComponentUse
UG-16(b)AllMinimum required thickness floor of 0.0625 in
UG-23AllAllowable stress tables, S-values at design temperature
UG-25AllCorrosion allowance, 0.0625 in
UG-27(c)(1)Cylindrical shell, nozzle necksInternal pressure, circumferential stress
UG-32(d)2:1 ellipsoidal headsInternal pressure on 2:1 SE heads, K = 1.00

Nozzle Reinforcement and Standard Fittings

ClauseUse
UG-36(c)(3)(a)Exempts NPS 3, 2, 1 nozzles from UG-37; NPS 6 and NPS 4 require UG-37 (both PASS without repad)
UG-37Area replacement on NPS 6 inlet and NPS 4 gas outlet
UG-44ASME B16.5 RFWN Cl 300 flanges accepted at 720 psig at 200 °F
UG-45Nozzle minimum-thickness check on each neck

Supports and External Loads

ReferenceUse
UG-22Loadings considered: pressure, weight (operating, test), saddle reactions, wind, seismic
Appendix G-1 (nonmandatory)Zick saddle analysis (S1, S2, S3, S4, S5) with combined wind and seismic reactions
ASCE 7-22 Ch. 26-30Wind load on the projected area, 80 mph basic wind speed, Exposure C, Risk Category III
ASCE 7-22 Ch. 13, 15Seismic load on operating weight, R = 3 for non-building structure on saddles

Three-Phase Separation Sizing

ReferenceUse
API 12JThree-phase separator sizing, gas capacity (Souders-Brown), liquid retention time, weir design
Stokes settling (with Ishii-Mishima drag correction)Water-in-oil and oil-in-water droplet rise/settle velocity for the 100 micron design droplet
GPSA Section 7Liquid-liquid retention-time targets (5 min oil residence, water rinse, mist extractor sizing)

The complementary three-phase separator sizing tool at /engineering/separator-3phase/ runs the same correlations interactively.

Welds, Toughness, Test, Marking

ClauseUse
UW-9 / UW-11(a)(1) / Table UW-12Cat. A and Cat. C weld design and joint efficiency E = 1.00
UW-15 / UW-16 / UW-50Nozzle attachment welds and NDE
UCS-66 / UCS-66.1MDMT qualification (no UCS-66.1 credit taken)
UG-99(b) / Note 35Hydrotest at 1.3 × MAWP = 546 psig, stress at test under 0.9 S_y
UG-116 / UG-118 / UG-120(c)Nameplate, location, U-1A data report
5. Worked Examples (Numerical)

Five worked examples. The pressure-containment calcs (shell and head) are similar to the smaller separator on page #02. The three-phase sizing and the Zick analysis with wind and seismic are the new content.

Example 1. Shell Wall Thickness, UG-27(c)(1)

Required thickness of the SA-516 Grade 70 Normalized cylindrical shell at 200 psig and 200 °F.

SymbolValueSource
P200 psigDesign pressure
R17.625 inInside radius, corroded: (36 - 2 × 0.375) / 2
S20,000 psiSA-516 Gr 70 at 200 °F
E1.00Full RT long seam, Table UW-12
UG-27(c)(1): t = P R / (S E - 0.6 P) t = 200 × 17.625 / (20,000 - 120) t = 3,525 / 19,880 t = 0.1773 in

Required thickness with CA is 0.240 in. Mill-minimum supplied is 0.438 in (0.500 nominal less 12.5%), corroded to 0.375 in. PASS with 0.135 in margin. Shell MAWP at corroded thickness 0.375 in is 420 psig.

Example 2. 2:1 SE Head Thickness, UG-32(d)

SymbolValueSource
P200 psigDesign pressure
D35.250 inInside diameter at the head skirt (shell ID, corroded)
S20,000 psiSA-516 Gr 70 at 200 °F
E1.00One-piece formed head
K1.002:1 ellipsoidal aspect ratio
UG-32(d): t = P D K / (2 S E - 0.2 P) t = 200 × 35.250 × 1.00 / (40,000 - 40) t = 7,050 / 39,960 t = 0.1764 in

Required thickness with CA is 0.239 in. Head supplied nominal 0.500 in, formed-corroded min 0.388 in. PASS with 0.149 in margin. Head MAWP at 0.388 in is 439 psig.

Example 3. Three-Phase Separation Sizing, Gas Capacity and Liquid Retention

The vessel is sized to accept 5 MMscfd of natural gas (S.G. 0.65) with 1,500 BPD oil and 500 BPD water at design conditions. The sizing follows API 12J for horizontal three-phase separators.

Gas capacity (Souders-Brown)

SymbolValueSource
K_SB0.21 ft/sSouders-Brown K-factor for a 6 in mesh pad at the gas outlet
ρ_L52.0 lb/ft³Oil density at 200 °F, 0.83 S.G.
ρ_V0.78 lb/ft³Gas density at 200 psig and 200 °F (SG 0.65)
Maximum vapor velocity (Souders-Brown): v_max = K_SB × √((ρ_L - ρ_V) / ρ_V) v_max = 0.21 × √((52.0 - 0.78) / 0.78) v_max = 0.21 × √(65.7) v_max = 0.21 × 8.11 v_max = 1.70 ft/s

The gas-phase cross section above the high oil liquid level is approximately 35% of the vessel cross-section. Available area is 0.35 × π/4 × (36/12)² = 2.47 ft². Maximum gas flow is 2.47 ft² × 1.70 ft/s × 3,600 s/h = 15,100 ft³/h actual. Convert to standard cubic feet using P_design at the gas density correction: 15,100 ft³/h × (214.7 / 14.7) × (520 / 660) = 174,000 scf/h = 4.2 MMscfd. Below the 5 MMscfd target by 16%, so the gas outlet area is undersized or the K_SB must be reduced. WARN. The fix in a real design is either to raise the operating level so that less liquid volume is held and more gas headroom is available, or to add a vane-pack mist extractor with K_SB = 0.35 ft/s.

Liquid retention (5 min oil, 3 min water rinse)

SymbolValueSource
Q_oil1,500 BPD = 0.146 ft³/sDesign oil flow
Q_water500 BPD = 0.0487 ft³/sDesign water flow
t_oil5 min = 300 sOil retention target (typical light oil)
t_water3 min = 180 sWater rinse target
Required oil retention volume: V_oil = Q_oil × t_oil = 0.146 × 300 = 43.7 ft³ Required water rinse volume: V_water = Q_water × t_water = 0.0487 × 180 = 8.76 ft³ Total liquid volume required: 52.5 ft³

The vessel's available liquid volume below the 60% level is approximately 60 ft³ (60% of 100 ft³ total internal volume), so the retention requirements are met. The weir is positioned at 60% of vessel length from the inlet to give the oil 5 min of residence in the upstream zone.

Example 4. Stokes Settling for the Water-in-Oil Droplet Cut Size

Per API 12J the design droplet size for water-in-oil separation is 500 micron (0.5 mm). The Stokes settling velocity is computed with a small Ishii-Mishima drag correction for non-spherical droplets.

SymbolValueSource
d_p0.0016 ft (500 μm)API 12J design droplet for water-in-oil
ρ_water62.0 lb/ft³Water density at 200 °F
ρ_oil52.0 lb/ft³Oil density at 200 °F
μ_oil2.5 cP = 0.00168 lb/(ft·s)Oil viscosity at 200 °F
g32.2 ft/s²Gravity
Stokes settling velocity (water droplet in oil): v_s = g (ρ_water - ρ_oil) d_p² / (18 μ_oil) v_s = 32.2 × (62.0 - 52.0) × (0.0016)² / (18 × 0.00168) v_s = 32.2 × 10 × 0.00000256 / 0.03024 v_s = 0.000824 / 0.03024 v_s = 0.0273 ft/s

The water droplet settles at 0.0273 ft/s. For a 36 in (3 ft) vessel with the oil-water interface at midplane, the maximum distance a droplet must traverse is approximately 12 in (1 ft) from top of oil pad to interface. Time to traverse: 1 / 0.0273 = 36.6 s. Available oil retention time is 5 min = 300 s. PASS with very large margin; the oil retention is governed by interfacial coalescence and rag-layer formation, not by Stokes settling of the design droplet.

Example 5. Zick Saddle Analysis With ASCE 7 Wind and Seismic

The horizontal vessel rests on two saddles. Operating gravity weight gives a per-saddle reaction of 3,250 lb (W_op = 6,500 lb / 2 saddles). ASCE 7 wind and seismic lateral loads add a horizontal couple that modifies the vertical saddle reactions.

Wind load (ASCE 7)

q_z = 0.00256 × V² × K_z × K_zt × K_d q_z = 0.00256 × 80² × 1.04 × 1.00 × 0.85 q_z = 14.5 psf Projected area = 36 in × 144 in = 36 ft² Wind force F_w = q_z × A × G × C_f F_w = 14.5 × 36 × 0.85 × 0.7 F_w = 310 lb (horizontal, at the vessel centroid)

Seismic load (ASCE 7)

For non-building structure on saddles (Ch. 15.4): V = (S_DS / R) × I_e × W_op V = (0.8 / 3) × 1.25 × 6,500 V = 2,167 lb (horizontal, at the vessel centroid)

Seismic governs over wind by a factor of seven. The seismic horizontal force is combined with gravity per ASCE 7 load combinations; the worst-case saddle reaction is approximately 4,400 lb on the windward saddle and 2,100 lb on the leeward saddle, with each saddle also taking 1,100 lb of lateral shear.

Zick stresses at worst-case test condition (Q = 4,250 lb, hydrotest)

SymbolValue
L144 in
R17.75 in (mean radius)
H8.81 in (2:1 head depth)
A24 in (head tangent to saddle)
θ120 °
t0.375 in (shell corroded)
Q (test)4,250 lb per saddle
Zick S1 (longitudinal bending at midspan, Eq. 4): M_mid ≈ Q L / 4 × [(1 + 2(R² - H²)/L²) / (1 + 4H/(3L))] - Q A M_mid ≈ 4,250 × 144 / 4 × (1.018 / 1.082) - 4,250 × 24 M_mid ≈ 153,000 × 0.941 - 102,000 M_mid ≈ 144,000 - 102,000 M_mid ≈ 42,000 in-lb Shell section modulus: Z = π R² t = π × 17.75² × 0.375 = 371 in³ S1 = M_mid / Z = 42,000 / 371 = 113 psi (very low)
Zick stressCalculated (psi)Allowable (psi)Status
S1, longitudinal bending at midspan11320,000 (S)PASS
S1, longitudinal bending over saddle27520,000 (S)PASS
S2, tangential shear at saddle41016,000 (0.8 S)PASS
S3, circumferential bending at saddle horn2,17025,000 (1.25 S)PASS
S4, additional stress in head as stiffener (A < R/2 satisfied)n/a1.25 SPASS
S5, ring compression at saddle horn1,15010,000 (0.5 S_y)PASS
Seismic axial stress added to S1 over saddle (P/A from 4,400 lb at saddle x 0.5)105included in S1 envelopePASS

All five Zick stresses are well within allowables even at the modified saddle reactions from the ASCE 7 seismic combination. PASS. On this 36 in vessel the saddle dimensions are governed by the pad-and-clip fabrication detail rather than by stress, and the anchor bolts are sized for ASCE 7 seismic uplift (worst-case uplift at the leeward saddle is approximately 1,400 lb, well within the capacity of four 1/2 in anchor bolts).

About this example

36 in OD horizontal three-phase separators are the workhorse first-stage separation vessel in oil-field production batteries, removing free water and gas from the wellhead stream before the oil moves to a treater or heater-treater. The configuration uses a weir baffle to set the oil-water interface, three liquid retention zones (water rinse upstream, oil-and-water emulsion mid, oil downstream of the weir), and a mist-extractor pad at the gas outlet. The teaching value of the example is the chain from API 12J sizing through Stokes settling to UG-22 external loads, with the Zick saddle analysis shown as the pressure-vessel side of a vessel that is otherwise sized by process not structural requirements.

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Cyclogen5D · Calgary, Canada · ASME Section VIII Div. 1 design, FEA, and CFD for separation and pressure equipment. This page is a generic worked example for educational and reference use. Numerical values illustrate a typical configuration and should not be used as the basis for any built equipment. Project work is sealed under the engineering authority of the project of record.