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.
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.
| Parameter | Value | Reference |
|---|---|---|
| Code of construction | ASME Section VIII Division 1, 2023 Edition | U-1, U-2 |
| Equipment type | Horizontal three-phase separator on two saddles, weir-controlled oil-water interface | |
| Design pressure | 200 psig | UG-21 |
| Design temperature | 200 °F | UG-20(a) |
| Design MDMT | -20 °F | UG-20(b), UCS-66 |
| Corrosion allowance | 0.0625 in (internal surfaces) | UG-25 |
| Joint efficiency, shell | 1.00 (full RT long seam) | UW-12 |
| Joint efficiency, heads | 1.00 (one-piece formed) | UW-12 |
| Radiography | Full RT on Cat. A welds, surface NDE on nozzle welds | UW-11, UW-50 |
| Service | Non-lethal, non-cyclic, three-phase oil-water-gas separation | UG-22, UW-2 |
| Installation | Outdoor, skid-mounted, sheltered location | ASCE 7 wind and seismic apply |
The vessel is analyzed for the loadings listed in UG-22. Governing loads for this configuration are:
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.
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.
The shop hydrostatic test follows UG-99(b):
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.
| Component | Material | t_req (in) | t_avail (in) | MAWP (psig) | Clause |
|---|---|---|---|---|---|
| Cylindrical shell | SA-516 Gr 70 N | 0.177 | 0.375 | 420 | UG-27(c)(1) |
| 2:1 ellipsoidal heads (each) | SA-516 Gr 70 N | 0.176 | 0.388 | 439 | UG-32(d) |
| Cl 300 RFWN flanges (6) | SA-105 | standard | standard | 720 | UG-44, B16.5 Gp 1.1 |
| NPS 6 inlet, NPS 4 gas outlet | SA-106 Gr B | < 0.05 | > 0.25 | matches shell | UG-27(c)(1), UG-45 |
| NPS 3 oil and water outlets | SA-106 Gr B | < 0.05 | > 0.20 | matches shell | UG-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.
Per UG-16(b), the minimum required thickness is 0.0625 in. All components meet UG-16(b) by a wide margin.
| Component | Calc Stress at 546 psig (psi) | 0.9 × S_y at 70 °F (psi) | Status |
|---|---|---|---|
| Shell, UG-99 Note 35 | 25,860 | 32,400 (SA-516-70 N) | PASS |
| Heads | 24,820 | 32,400 | PASS |
| Component | Specification | S at 200 °F (psi) | UCS-66 Curve | Form |
|---|---|---|---|---|
| Shell | SA-516 Grade 70, normalized | 20,000 | D | 0.500 in plate, rolled and welded long seam |
| Heads (2 ea) | SA-516 Grade 70, normalized | 20,000 | D | 2:1 ellipsoidal, one-piece formed, 0.500 in nominal |
| Weir baffle (internal) | SA-516 Grade 70, normalized | 20,000 | n/a | 0.250 in plate, partial-height weir at 60% of vessel length from inlet |
| Nozzle necks | SA-106 Grade B, seamless | 17,100 | B | NPS 6 / 4 / 3 Sch 80 pipe |
| Flanges | SA-105 | 17,500 | B | ASME B16.5 RFWN Class 300, all six process nozzles |
| Saddles | SA-36 plate | n/a | n/a | 120 ° wrap, 8 in saddle width, two skid-mounted |
| Anchor brackets | SA-516 Grade 70 plate | n/a | n/a | Four anchor brackets at each saddle, sized for ASCE 7 seismic uplift |
| Tag | Function | Size and Class | Location | Weld |
|---|---|---|---|---|
| N1 | Process inlet (3-phase mixture) | NPS 6 Cl 300 RFWN, Sch 80 neck | Shell, top, inlet end | Full pen + fillet per UW-16(f) |
| N2 | Gas outlet | NPS 4 Cl 300 RFWN, Sch 80 neck | Shell, top, outlet end (downstream of mist extractor) | Full pen + fillet per UW-16(f) |
| N3 | Oil outlet (downstream of weir) | NPS 3 Cl 300 RFWN, Sch 80 neck | Shell, bottom, outlet end | Full pen + fillet per UW-16(f) |
| N4 | Water outlet (boot, upstream of weir) | NPS 3 Cl 300 RFWN, Sch 80 neck | Shell, bottom, midspan | Full pen + fillet per UW-16(f) |
| N5 | Pressure relief (PSV) | NPS 2 Cl 300 RFWN, Sch 80 neck | Shell, top | Full pen + fillet per UW-16(f) |
| N6 | Level instrument bridle | NPS 1 Cl 6000 threaded coupling | Head, oil side and water side | Full 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.
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.
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.
| Item | Value |
|---|---|
| Shell OD | 36.000 in |
| Shell wall, nominal | 0.500 in |
| Shell wall, mill-min (-12.5%) | 0.438 in |
| Shell wall, corroded (mill-min less CA) | 0.375 in |
| Shell tangent-to-tangent length | 144 in (12 ft) |
| Head nominal thickness, 2:1 SE | 0.500 in |
| Head minimum corroded (after 10% forming thinning + CA) | 0.388 in |
| Saddle wrap angle | 120 ° |
| Saddle width | 8 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, new | 3,030 lb |
| Operating weight (gas + oil + water at design level) | ~6,500 lb |
| Test weight, water-filled | 8,490 lb |
Every clause applied in the analysis, grouped by topic.
| Clause | Component | Use |
|---|---|---|
| UG-16(b) | All | Minimum required thickness floor of 0.0625 in |
| UG-23 | All | Allowable stress tables, S-values at design temperature |
| UG-25 | All | Corrosion allowance, 0.0625 in |
| UG-27(c)(1) | Cylindrical shell, nozzle necks | Internal pressure, circumferential stress |
| UG-32(d) | 2:1 ellipsoidal heads | Internal pressure on 2:1 SE heads, K = 1.00 |
| Clause | Use |
|---|---|
| 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-37 | Area replacement on NPS 6 inlet and NPS 4 gas outlet |
| UG-44 | ASME B16.5 RFWN Cl 300 flanges accepted at 720 psig at 200 °F |
| UG-45 | Nozzle minimum-thickness check on each neck |
| Reference | Use |
|---|---|
| UG-22 | Loadings 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. 26-30 | Wind load on the projected area, 80 mph basic wind speed, Exposure C, Risk Category III |
| ASCE 7-22 Ch. 13, 15 | Seismic load on operating weight, R = 3 for non-building structure on saddles |
| Reference | Use |
|---|---|
| API 12J | Three-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 7 | Liquid-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.
| Clause | Use |
|---|---|
| UW-9 / UW-11(a)(1) / Table UW-12 | Cat. A and Cat. C weld design and joint efficiency E = 1.00 |
| UW-15 / UW-16 / UW-50 | Nozzle attachment welds and NDE |
| UCS-66 / UCS-66.1 | MDMT qualification (no UCS-66.1 credit taken) |
| UG-99(b) / Note 35 | Hydrotest 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 |
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.
Required thickness of the SA-516 Grade 70 Normalized cylindrical shell at 200 psig and 200 °F.
| Symbol | Value | Source |
|---|---|---|
| P | 200 psig | Design pressure |
| R | 17.625 in | Inside radius, corroded: (36 - 2 × 0.375) / 2 |
| S | 20,000 psi | SA-516 Gr 70 at 200 °F |
| E | 1.00 | Full RT long seam, Table UW-12 |
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.
| Symbol | Value | Source |
|---|---|---|
| P | 200 psig | Design pressure |
| D | 35.250 in | Inside diameter at the head skirt (shell ID, corroded) |
| S | 20,000 psi | SA-516 Gr 70 at 200 °F |
| E | 1.00 | One-piece formed head |
| K | 1.00 | 2:1 ellipsoidal aspect ratio |
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.
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.
| Symbol | Value | Source |
|---|---|---|
| K_SB | 0.21 ft/s | Souders-Brown K-factor for a 6 in mesh pad at the gas outlet |
| ρ_L | 52.0 lb/ft³ | Oil density at 200 °F, 0.83 S.G. |
| ρ_V | 0.78 lb/ft³ | Gas density at 200 psig and 200 °F (SG 0.65) |
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.
| Symbol | Value | Source |
|---|---|---|
| Q_oil | 1,500 BPD = 0.146 ft³/s | Design oil flow |
| Q_water | 500 BPD = 0.0487 ft³/s | Design water flow |
| t_oil | 5 min = 300 s | Oil retention target (typical light oil) |
| t_water | 3 min = 180 s | Water rinse target |
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.
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.
| Symbol | Value | Source |
|---|---|---|
| d_p | 0.0016 ft (500 μm) | API 12J design droplet for water-in-oil |
| ρ_water | 62.0 lb/ft³ | Water density at 200 °F |
| ρ_oil | 52.0 lb/ft³ | Oil density at 200 °F |
| μ_oil | 2.5 cP = 0.00168 lb/(ft·s) | Oil viscosity at 200 °F |
| g | 32.2 ft/s² | Gravity |
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.
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.
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.
| Symbol | Value |
|---|---|
| L | 144 in |
| R | 17.75 in (mean radius) |
| H | 8.81 in (2:1 head depth) |
| A | 24 in (head tangent to saddle) |
| θ | 120 ° |
| t | 0.375 in (shell corroded) |
| Q (test) | 4,250 lb per saddle |
| Zick stress | Calculated (psi) | Allowable (psi) | Status |
|---|---|---|---|
| S1, longitudinal bending at midspan | 113 | 20,000 (S) | PASS |
| S1, longitudinal bending over saddle | 275 | 20,000 (S) | PASS |
| S2, tangential shear at saddle | 410 | 16,000 (0.8 S) | PASS |
| S3, circumferential bending at saddle horn | 2,170 | 25,000 (1.25 S) | PASS |
| S4, additional stress in head as stiffener (A < R/2 satisfied) | n/a | 1.25 S | PASS |
| S5, ring compression at saddle horn | 1,150 | 10,000 (0.5 S_y) | PASS |
| Seismic axial stress added to S1 over saddle (P/A from 4,400 lb at saddle x 0.5) | 105 | included in S1 envelope | PASS |
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).
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.