This disclosure is in the field of apparatuses, systems, and methods intended to mix or homogenize a fluid containing a gas phase and a liquid phase.
Devices such as gas-liquid multiphase flow pumps are susceptible to malfunctioning under slug flow conditions. These conditions occur when long gas pockets are produced in the flow upstream of the multiphase pump and the multiphase fluid becomes segregated by the pockets into “slugs” of liquid and gas.
Under these conditions the pumps run “dry”, without sufficient liquid, which can result in pump overheating and seizing thus leading to failure. A need exists for apparatuses, systems, and methods that ensure liquid flow in the pump at all times, which avoids overheating of the pump and related problems.
Embodiments of a novel Flow Conditioning System (“FCS”) of this disclosure may be used for homogenizing a fluid containing a gas phase and a liquid phase. In some embodiments the FCS may be applied to a fluid containing one or more hydrocarbons. The FCS may be located where appropriate, including subsea. The FCS may be used for homogenizing slug flow, characterized by highly concentrated liquid followed by a long gas pocket. In embodiments, the FCS may be composed of an outer shroud pipe section, into which a concentric perforated smaller pipe is inserted at the top. The inlet slug flow regime is changed at the shroud whereby the slugs and gas pockets are broken, transitioning to well-mixed flow regimes, such as bubbly flow or continuous churn flow. The bubbly or continuous churn flow that occur in the shroud section are forced to pass through the perforations of the perforated smaller pipe, which promote a more thorough mixing of the phases upstream of devices such as multiphase pumps.
Referring first to
By way of a non-limiting example, in an experimental embodiment used for testing, an FCS 10 of this disclosure was constructed using a 0.076 m ID transparent PVC pipe, including an inlet 19 (0.5 m long) and a vertical mixing shroud section 11 (1.4 m in length). The FCS inlet 19 was connected to a horizontal 0.05 m ID upstream feed pipe 33. In this example, DI>DF (0.076 m to 0.05 m). A larger inlet diameter DI (about 1.5 times that of the feed pipe diameter DF) was used to reduce the gas phase velocity and help mixing of the phases in the mixing shroud section 11.
The length L of the mixing shroud section 11 may be obtained based on the study of Taitel et al. (1986) for determining the maximum entry region length (LE) to sustain churn flow, as given by
where D is the inner diameter DM of the mixing shroud section, VM is the mixture velocity, and g is the gravitational acceleration. See Taitel, Y. and Dukler, A. E.: “A Model for Predicting Flow Regime Transition in Horizontal and Near Horizontal Gas-Liquid Flow,” AIChE J., vol. 22, no. 1, pp. 47-55, 1976. According to this study, if the actual vertical pipe length L is less than LE, churn flow (ideal for better mixing of gas and liquid phases) will occur in the entire pipe, otherwise, slug flow will occur.
Continuing with the same example as above,
By way of a non-limiting example, a 0.038 m ID 0.05 m long vertical perforated pipe section 23 is inserted into a vertical mixing shroud section 11 from the top 17 of the FCS 10, which in turn is connected to the vertical outlet 15, upstream of the multiphase pump P. The FCS includes a 0.076 m horizontal inlet 19 connected to a 0.05 m ID horizontal feed pipe 33, with sections 11, 23, and 15 arranged concentric to the vertical centerline 45 of the FCS 10. The inlet diameter of the pump P is the same as that of diameter do of the outlet 15. The length L of the vertical mixing shroud section 11 was calculated using Eq. 1 above, where L=LE. The vertical perforated pipe section 23 includes perforations 27 having a uniform diameter of 0.005 m each, with a ratio of 0.2 between the total perforated area to the total surface area of the pipe section 23.
The total perforated area in this example is equal to the cross-sectional area of the vertical pipe section 23. If the total area of the perforations is increased more than the cross-sectional area of the perforated pipe 23, the perforations 27 can promote uneven flow in the vertical perforated pipe section 23 due to improper mixing or churning of liquid and gas since the gas has a higher tendency to escape than does the liquid. This uneven flow could be severely felt in cases where a gas pocket follows a liquid slug thereby resulting in improper mixing (i.e., liquid not being retained in the upper part 25) and thus leading to failure of multiphase pump. If the total area of the perforations is less than that of the cross-sectional area of the perforated pipe 23, excessive pressure drop is created across the perforations 27.
Testing by the inventors has shown that the bottom 29 of the vertical perforated pipe section 23 should be a closed bottom end and not an open end. Testing has also shown that extension of the vertical pipe section 23 further downwards below the inlet to the vertical mixing shroud section 11—that is, below the horizontal center line 35—with or without the presence of a perforated section, did not enhance the performance. This finding is unexpected and surprising because it is in contradiction to the teaching of US2010/0147773 A1 to Kouba et al., which recommends the bottom of the perforated concentric pipe to be open and its length extended to the bottom of the vertical pipe (e.g., below the center line 35 toward or to the bottom 13 of the pipe section 11).
Experimental data were acquired with the example FCS in order to evaluate its performance. Various combinations of superficial gas and liquid velocities were selected as a test matrix to ensure slug flow in the 0.05 m ID horizontal feed pipe 33.
However, when an FCS 10 of this disclosure is utilized on the flow experimental data show that, under all the operational flow conditions, the flow pattern in the FCS vertical outlet pipe 15 is either churn flow or bubbly flow. The experimental flow pattern observations are plotted in
As shown in
In this study, the churn flow pattern is divided into two sub-patterns: periodic churn flow and continuous churn flow (see
Proper operation of the FCS 10 depends on the existing flow pattern in the vertical outlet pipe 15 upstream of the pump. Mechanistic models are presented below for flow pattern predictions, which may be used for design and scale-up purposes. Two models are presented for the predictions of the transition between the bubbly flow and churn flow, as well as the transition between periodic churn flow and continuous churn flow, as described as below.
Bubbly Flow—Churn Flow Transition:
At relatively low superficial gas velocities, as described above, low concentration bubbles occur that behave as rigid spheres with no collisions and coalescence. With increasing the gas velocity, the bubble concentration increases, with bubble deformation, thereby promoting bubble coalescence and formation of larger bubbles, leading to churn flow. Thus, the transition between the bubbly flow and churn flow is based on bubble packing concept.
According to Radovicich et al., bubble collision frequency depends on gas void fraction “α”, which increases significantly when the void fraction reaches 0.2. See Radovicich, N. A. and Moissis, R.: “The Transition from Two-Phase Bubble Flow to Slug Flow”, MIT Report 7-7673-22, 1962. On the other hand, the observed maximum gas void fraction under bubbly flow is α=0.3. For purposes of this disclosure, the criterion used for the transition between bubbly flow and churn flow is when the gas void fraction reaches 0.3. This transition boundary is developed next.
The slip velocity, Vs, between the gas and liquid phase is defined as
VS=VG−VL (2)
where VG and VL are the actual gas and liquid velocities, respectively, which are given by
In above equations, VSG is the superficial gas velocity, and VSL is the superficial liquid velocity. It follows
VS=mV0∞(1−α)n-1 (5)
where m and n are empirical coefficients and V0∞ is the bubble rise velocity, which is determined according to Jamialahmadi et al.
See Jamialahmadi, M. and Muller-Steinhagen, H.: Effect of Superficial Gas Velocity on Bubble Size, Terminal Bubble Rise Velocity and Gas Hold-Up in Bubble Columns, J. Developments in Chemical Engineering and Mineral Processing, Vol. 1, pp. 16-31 (1992).
The variables V0∞,S and V0∞ are expressed, respectively, by
In the above equations, ρL, ρG and μL, μG are the liquid and gas densities and liquid and gas viscosities, respectively, g is the acceleration due to gravity, σ is the surface tension and db is the bubble diameter. In this study, db is determined as given by Jamialahmadi et al., namely,
where, dp is the diameter of each perforation. Using α=0.3 and substituting Eqs. (3) through (9) into the Eq. (2) results in an equation for the prediction of transition boundary between bubbly flow and churn flow. See Jamialahmadi, M. and Muller-Steinhagen, H.: “Effect of Alcohol, Organic Acid and Potassium Chloride Concentration on Bubble Size, Bubble Rise Velocity and Gas Hold-up in Bubble Columns”, Chem. Eng. J., 50, pp. 47-56, 1992.
Transition Between Periodic Churn and Continuous Churn Flow
Wallis developed a semi-empirical correlation to predict the transition to flooding and flow reversal. See Wallis, G. B.: “One-Dimensional Two-Phase Flow”, New York: McGraw-Hill, 1969. This correlation predicts the onset of countercurrent flow between the gas and liquid phases as follows:
√{square root over (VSG*)}+√{square root over (VSL*)}=C (10)
where the dimensionless variables VSG* and VSL* are given, respectively, by
This correlation is used in this study to predict the transition between continuous churn flow (where the liquid phase flows mainly upwards) to periodic churn flow (where the liquid phase flows downwards also), assigning a value of C=1.65.
Embodiments of an FCS system of this disclosure, and method for its use may include the following designs or configurations.
1. A flow conditioner 10 configured for mixing a fluid containing a gas-phase and a liquid-phase, the flow conditioner 10 comprising: a vertically oriented outer shroud section 11 having an entry region length “LE” and an inner diameter “DI”, the vertically oriented outer shroud section 11 including a closed bottommost bottom end 13; a vertically oriented outlet 15 arranged concentric to, and located at an uppermost upper end 17 of, the vertically outer shroud section 11, the vertically oriented outlet 15 having an inner diameter “do”; the vertically outer shroud section 11 further comprising an inlet 19 having a same, or substantially same, inner diameter “DM” as the inner diameter DI outer shroud section 11 and connected to a lower half 21 of the outer shroud section 11; and a vertically oriented pipe 23 arranged concentric to, and housed within an upper half 25 of the vertically oriented outer shroud section 11 and connected to the vertically oriented outlet 15, the vertically oriented pipe 23 having a length “l” including perforations 27, an inner diameter “d”, and a closed bottommost bottom end 29, the perforations 27 having a diameter “dp”; wherein LE is a total vertical distance between the uppermost upper end 17 of the vertically oriented shroud section 11 and a centerline 35 of the inlet 19; and wherein DM>d; and wherein d=do.
2. The flow conditioner 10 of example 1, wherein a total perforated area of the vertically oriented pipe 23 is in a range of 0.95 to 1.05 of a total cross section area of the vertically oriented outlet 15.
3. The flow conditioner 10 of example 2, wherein the total perforated area of the vertically oriented pipe 23 is equal to the total cross section area of the vertically oriented outlet 15.
4. The flow conditioner 10 according to any of the preceding examples, wherein a ratio of a total perforated area of the vertically oriented pipe 23 to a total surface area of the vertically oriented pipe 23 is in a range of 0.1 to 0.3.
5. The flow conditioner 10 of example 4, wherein the ratio is 0.2.
6. The flow conditioner 10 according to any of the preceding examples, wherein dp is sized to create, for the gas phase, a predetermined bubble diameter “db”.
7. The flow conditioner 10 of example 6, 0.0045 m≤dp≤0.0055 m.
8. The flow conditioner 10 of example 7, dp=0.005 m
9. The flow conditioner 10 according to any of the preceding examples, wherein the entry region length LE is a length preselected to provide churn flow of the fluid along a vertical distance beginning at the intersection of the centerline 35 of the inlet 19 and the central vertical axis to the vertically oriented outlet 15, where
where D is the diameter of the vertically oriented outer shroud section 11, VM is the mixture velocity, and g is gravitational acceleration.
10. The flow conditioner 10 according to any of the preceding examples, wherein ¼LE≤l≤½ LE.
11. The flow conditioner according to any of the preceding examples, wherein the inlet 19 includes an end 31 configured for connection to a feed pipe 33 having a predetermined inner diameter “DF”.
12. The flow conditioner 10 of example 11, wherein D≥DF.
13. The flow conditioner 10 of example 11 wherein D>DF.
14. The flow conditioner 10 according to any of the preceding examples, wherein the inlet 19 is selected from the group consisting of a horizontally oriented inlet and a downward inclined inlet.
15. The flow conditioner 10 of any of the preceding examples, further comprising:
a multi-phase pump connected to the outlet.
16. The flow conditioner 10 according to any of the proceeding examples, further comprising:
a riser connected to the outlet.
17. The flow conditioner 10 according to any of the preceding examples, wherein the flow conditioner contains no moving parts.
18. The flow conditioner 10 according to any of the preceding examples, wherein the flow conditioner does not require a power supply.
19. A process for mixing a fluid containing a gas-phase and a liquid phase, the process comprising: routing the fluid through a flow conditioner 10 comprising: a vertically oriented outer shroud section 11 having an entry region length “LE” and an inner diameter “DM”, the vertically oriented outer shroud section 11 including a closed bottommost bottom end 13; a vertically oriented outlet 15 arranged concentric to, and located at an uppermost upper end 17 of the vertically oriented outer shroud section, the vertically oriented outlet 15 having an inner diameter “do”; the vertically oriented outer shroud section 11 further comprising an inlet 19 having a same inner diameter “DI” as the inner diameter DM of the vertically oriented outer shroud section 11 and connected to a lower half 21 of the vertically oriented outer shroud section 11; and; a vertically oriented pipe 23 arranged concentric to, and housed within an upper half 25 of, the vertically oriented outer shroud section 11 and connected to the vertically oriented outlet 15, the vertically oriented pipe 23 having a length “l” including perforations 27, an inner diameter “d”, and a closed bottommost bottom end 29, the perforations 27 having a diameter “dp”; wherein LE is a total vertical distance between the uppermost upper end 17 of the vertically oriented outer shroud section 11 and a centerline 35 of the inlet 19 where it intersects a shared vertically oriented centerline 45 of the vertically oriented outer shroud section 11, vertically oriented pipe 23, and vertically oriented outlet pipe 15; wherein D>d and d d; wherein after the routing, the gas-phase is more evenly distributed throughout the fluid than prior to the routing.
20. The process of example 19, wherein a total perforated area of the vertically oriented pipe 23 is in a range of 0.95 to 1.05 of a total cross section area of the vertically oriented outlet 15.
21. The process according to any of the preceding examples, wherein a ratio of a total perforated area of the vertically oriented pipe 23 to a total surface area of the vertically oriented pipe 23 is in a range of 0.1 to 0.3.
22. The process according to any of the preceding examples, wherein between the inlet 19 and the vertically oriented outlet 15 of the flow conditioner 10 the fluid transitions from predominantly slug flow to predominantly churn flow.
23. The process according to any of the preceding examples, wherein an average gas bubble diameter dp of the gas-phase at the vertically oriented outlet 15 is less than that at the inlet 19.
24. The process according to any of the preceding examples, wherein the fluid enters the inlet 19 from a feed pipe 33 connected to the inlet 19, the feed pipe having a predetermined inner diameter “DF”
25. The process of example 24, wherein D≥DF.
26. The process of example 24, wherein D>DF.
27. The process of according to any of the preceding examples, wherein the gas-phase, the liquid phase, or the gas and liquid phases include a hydrocarbon.
28. The process according to any of the preceding examples, further comprising:
29. The process of according to any of the preceding examples, wherein the flow conditioner is located subsea.
30. The process according to any of the preceding examples, wherein the inlet 19 is selected from the group consisting of a horizontally oriented inlet and a downward inclined inlet.
31. The process according to any of the preceding examples, wherein a multi-phase pump P is connected to the vertically oriented outlet 15.
32. The process according to any of the proceeding examples, wherein a riser connected to the vertically oriented outlet 15.
33. The process according to any of the proceeding examples, wherein the flow conditioner 10 contains no moving parts.
34. The process according to any of the proceeding examples, wherein the flow conditioner 10 does not require a power supply.
This application claims priority to, and the benefit of, U.S. 62/825,104 filed Mar. 28, 2019.
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Entry |
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Jamialahmadi et al, “EEffect of Superficial Gas Velocity on Bubble Size, Terminal Bubble Rise Velocity and Gas Hold-Up in Bubble Columns”, , pp. 16-31, vol. 1, No. 1, Publisher: Developments in Chemical Engineering (1992). |
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Number | Date | Country | |
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62825104 | Mar 2019 | US |