Two Phase Pipeline Example

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Two Phase Pipeline Example. Ref.: Brill &amp; Beggs, Two Phase Flow in Pipes, 6 th Edition, 1991. Chapter 3. Two Phase Flow Example 1: Description. P 2. d 1 , L 1. D Z 1. P 1.

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Two Phase PipelineExample

Ref.: Brill & Beggs, Two Phase Flow in Pipes, 6th Edition, 1991. Chapter 3.

Two Phase FlowExample 1: Description

P2

d1 , L1

DZ1

P1

• For the above two-phase pipeline, calculate the exit pressure (P2) based on the Beggs and Brill equation. Compare the manual calculation results with Hysys software results (using Pipe Segment and Pipesys) .
• Feed specifications:
• T1 = 60 oF, P1 = 1000 psia, qgtsc= 50 MMscfd, qosc=100000 bbl/day, γgt= 0.7896, γo = 31.3 oAPI,
• Pipeline specifications:
• L1 = 900 ft, ΔZ1 = 10 ft, d1= 12 in nominal (Mild Steel, Schedule 40), T2 = 60 oF
Two Phase FlowExample 1: Description

For using compositional model (in Hysys), the following analysis of produced oil and gas at standard conditions are exist:

Two Phase FlowExample 1: solution

In hand calculation, a single segment with Pav= P1 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 γgdneeds a try and error, based on these equations:

Therefore:

Two Phase FlowExample 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:

Two Phase FlowExample 1: solution

Therefore, the two-phase no slip properties can be calculated as follows:

Flow regimes:

Liquid Hold and ρs:

Two Phase FlowExample 1: solution