Two Phase Pipeline Example Ref Brill Beggs Two
Two Phase Pipeline Example Ref. : Brill & Beggs, Two Phase Flow in Pipes, 6 th Edition, 1991. Chapter 3.
Two Phase Flow Example 1: Description P 2 d 1 , L 1 DZ 1 P 1 For the above two-phase pipeline, calculate the exit pressure (P 2) based on the Beggs and Brill equation. Compare the manual calculation results with Hysys software results (using Pipe Segment and Pipesys). Feed specifications: T 1 = 60 o. F, P 1 = 1000 psia, qgtsc= 50 MMscfd, qosc =100000 bbl/day, γgt = 0. 7896, γo = 31. 3 o. API, Pipeline specifications: L 1 = 900 ft, ΔZ 1 = 10 ft, d 1= 12 in nominal (Mild Steel, Schedule 40), T 2 = 60 o. F 2
Two Phase Flow Example 1: Description For using compositional model (in Hysys), the following analysis of produced oil and gas at standard conditions are exist: Distillation Curve and Density (o. API=31. 3) Light Ends Analysis Produced Gas at S. C. Liquid Vol. % Cut Temp, o. F Density, o. API Components Liquid Vol. % Components Mole, % 2. 85 145 ---- N 2 0. 0013 N 2 6. 8311 3. 83 167 57. 7 H 2 S 0. 014 H 2 S 1. 3467 5. 63 212 56. 4 CO 2 0. 0037 CO 2 0. 9777 7. 33 257 55. 4 C 1 0. 0733 C 1 72. 8749 10. 03 302 52. 3 C 2 0. 0803 C 2 7. 5713 13. 43 347 47. 8 C 3 0. 1307 C 3 2. 9463 18. 53 392 42. 6 i-C 4 0. 4177 i-C 4 2. 9119 24. 43 437 39. 2 n-C 4 0. 3947 n-C 4 1. 8989 34. 23 482 35. 8 i-C 5 0. 9029 i-C 5 1. 2841 44. 93 527 33. 0 n-C 5 0. 7487 n-C 5 0. 8183 C 6+ 0. 5388 Properties of C 6+ : Molecular Weight = 89. 53, Density = 55. 49 o. API, N. Boiling point = 210 o. F 3
Two Phase Flow Example 1: solution In hand calculation, a single segment with Pav= P 1 was used (for first iteration). I didn’t find any reliable correlation for calculation of dissolved gas specific gravity, and therefore the specific gravity of free gas was selected from HYSYS software at input conditions: γgf = 0. 6397 Calculation of Rs and γgd needs a try and error, based on these equations: Therefore: 4
Two Phase Flow Example 1: solution Volume flow rate of free gas at inlet conditions can be calculated with using Bg: Viscosity of oil and gas and surface tension between them can be calculated as: 5
Two Phase Flow Example 1: solution Therefore, the two-phase no slip properties can be calculated as follows: Flow regimes: Liquid Hold and ρs: 6
Two Phase Flow Example 1: solution Pressure gradient due to friction: Outlet pressure: 7
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