Abstract

Wellbore pressure gradient in gas wells is significant in designing deliquification technologies and optimizing production. At present, no model has yet to be established specifically for gas wells at a wide gas flowrate range. When calculating pressure gradient in a specific gas field, engineers must evaluate these widely used models and get the best performance model at a certain range. To establish a more comprehensive model in horizontal gas wells, an experimental study was conducted to investigate the flow behavior of liquid-gas two-phase flow at different gas and liquid velocities and inclined angles in a 50 mm visual pipe. The evaluation of these widely used models against the experimental data shows that no model can predict liquid holdup at different gas velocity ranges, and huge deviations due to several reasons can be observed. After conducting a comprehensive analysis, a new liquid holdup correlation was proposed based on the Mukherjee–Brill model by correlating from the experimental results, which have parametric ranges closer to the production of gas wells. This new model adopts a new dimensionless gas velocity number to characterize flow similarities and better scale up pressure from the experiment to the gas wells. By validating against experimental data and field data, the results indicate that the new two-phase flow model has stable performance and can accurately predict pressure gradients at different ranges of pressure and gas/liquid velocities.

References

1.
Ballesteros
,
M.
,
Ratkovich
,
N.
, and
Pereyra
,
E.
,
2020
, “
Analysis and Modeling of Liquid Holdup in Low Liquid Loading Two-Phase Flow Using Computational Fluid Dynamics and Experimental Data
,”
ASME J. Energy Resour. Technol.
,
143
(
1
), p.
012105
.
2.
Zhu
,
J.
,
Zhu
,
H.
,
Zhao
,
Q.
,
Fu
,
W.
,
Shi
,
Y.
, and
Zhang
,
H. Q.
,
2019
, “
A Transient Plunger Lift Model for Liquid Unloading From Gas Wells
,”
International Petroleum Technology Conference
,
Beijing, China
,
Mar. 26–28
.
3.
Coutinho
,
R. P.
,
Tornisiello
,
L.
, and
Waltrich
,
P. J.
,
2020
, “
Experimental Investigation of Vertical Downward Two-Phase Flow in Annulus
,”
ASME J. Energy Resour. Technol.
,
142
(
7
), p.
072102
.
4.
Zhu
,
H.
,
Zhu
,
J.
,
Lin
,
Z.
,
Zhao
,
Q.
,
Rutter
,
R.
, and
Zhang
,
H. Q.
,
2021
, “
Performance Degradation and Wearing of Electrical Submersible Pump (ESP) With Gas-Liquid-Solid Flow: Experiments and Mechanistic Modeling
,”
J. Petrol. Sci. Eng.
,
200
, p.
108399
.
5.
Tong
,
Z.
,
Zhao
,
G.
, and
Wei
,
S.
,
2017
, “
A Novel Intermittent Gas Lifting and Monitoring System Toward Liquid Unloading for Deviated Wells in Mature Gas Field
,”
ASME J. Energy Resour. Technol.
,
140
(
5
), p.
052906
.
6.
Duns
,
H.
, Jr.
, and
Ros
,
N. C. J.
,
1963
, “
Vertical Flow of Gas and Liquid Mixtures in Wells
,”
6th World Petroleum Congress
,
Frankfurt am Main, Germany
,
June 19–26
.
7.
Hagedorn
,
A. R.
, and
Brown
,
K. E.
,
1965
, “
Experimental Study of Pressure Gradients Occurring During Continuous Two-Phase Flow in Small-Diameter Vertical Conduits
,”
J. Petrol. Technol.
,
17
(
4
), pp.
475
484
.
8.
Aziz
,
K.
,
Govier
,
G. W.
, and
Fogarasi
,
M.
,
1972
, “
Pressure Drop in Wells Producing Oil and Gas
,”
J. Can. Pet. Technol.
,
11
(
3
), pp.
38
48
.
9.
Hasan
,
A. R.
, and
Kabir
,
C. S.
,
1988
, “
A Study of Multiphase Flow Behavior in Vertical Wells
,”
SPE Prod. Eng.
,
3
(
2
), pp.
263
272
.
10.
Tengesdal
,
,
Kaya
,
A. S.
, and
Sarica
,
C.
,
1999
, “
Flow-Pattern Transition and Hydrodynamic Modeling of Churn Flow
,”
SPE J.
,
4
(
04
), pp.
342
348
.
11.
Liu
,
Y.
,
Tong
,
T. A.
,
Ozbayoglu
,
E.
,
Yu
,
M.
, and
Upchurch
,
E.
,
2020
, “
An Improved Drift-Flux Correlation for Gas-Liquid Two-Phase Flow in Horizontal and Vertical Upward Inclined Wells
,”
J. Petrol. Sci. Eng.
,
195
, p.
107881
.
12.
Beggs
,
D. H.
, and
Brill
,
J. P.
,
1973
, “
A Study of Two-Phase Flow in Inclined Pipes
,”
J. Pet. Technol.
,
25
(
5
), pp.
607
617
.
13.
Mukherjee
,
H.
, and
Brill
,
J. P.
,
1983
, “
Liquid Holdup Correlations for Inclined Two-Phase Flow
,”
J. Pet. Technol.
,
22
(
3
), pp.
1003
1008
.
14.
Ansari
,
A. M.
,
Sylvester
,
N. D.
,
Sarica
,
C.
,
Shoham
,
O.
, and
Brill
,
J. P.
,
1994
, “
A Comprehensive Mechanistic Model for Upward Two-Phase Flow in Wellbores
,”
SPE Prod. Fac.
,
9
(
2
), pp.
143
151
.
15.
Taitel
,
Y.
,
Barnea
,
D.
, and
Dukler
,
A. E.
,
1980
, “
Modelling Flow Pattern Transitions for Steady Upward Gas–Liquid Flow in Vertical Tubes
,”
AIChE J.
,
26
(
3
), pp.
345
354
.
16.
Barnea
,
D.
,
1987
, “
A Unified Model for Predicting Flow-Pattern Transitions for the Whole Range of Pipe Inclinations
,”
Int. J. Multiph. Flow.
,
13
(
1
), pp.
1
12
.
17.
Zhang
,
H. Q.
,
Wang
,
Q.
,
Sarica
,
C.
, and
Brill
,
J. P.
,
2003
, “
Unified Model for Gas-Liquid Pipe Flow Via Slug Dynamics—Part 1: Model Development
,”
ASME J. Energy Resour. Technol.
,
125
(
4
), pp.
266
273
.
18.
Zhang
,
H. Q.
,
Wang
,
Q.
,
Sarica
,
C.
, and
Brill
,
J. P.
,
2003
, “
Unified Model for Gas-Liquid Pipe Flow Via Slug Dynamics–Part 2: Model Validation
,”
ASME J. Energy Resour. Technol.
,
125
(
4
), pp.
274
283
.
19.
Pagan
,
E.
,
Williams
,
W. C.
,
Kam
,
S.
, and
Waltrich
,
P. J.
,
2017
, “
A Simplified Model for Churn and Annular Flow Regimes in Small- and Large-Diameter Pipes
,”
Chem. Eng. Sci.
,
162
, pp.
309
321
.
20.
Daraboina
,
N.
,
Chi
,
Y.
,
Sarica
,
C.
,
Pereyra
,
E.
, and
Scott
,
S. L.
,
2018
, “
Effects of High Pressure on the Performance of Existing Two-Phase Flow Models in Wellbores
,”
SPE Annual Technical Conference and Exhibition
,
Dallas, TX
,
Sept. 24–26
.
21.
Shadloo
,
M. S.
,
Rahmat
,
A.
,
Karimipour
,
A.
, and
Wongwises
,
S.
,
2020
, “
Estimation of Pressure Drop of Two-Phase Flow in Horizontal Long Pipes Using Artificial Neural Networks
,”
ASME J. Energy Resour. Technol.
,
142
(
11
), p.
112110
.
22.
Liu
,
Y.
,
Luo
,
C.
,
Zhang
,
L.
,
Wu
,
P.
,
Zhao
,
Y.
, and
Wang
,
L.
,
2020
, “
Experimental Investigation of the Surfactant Effect on Liquid Removal in Vertical Pipes
,”
J. Petrol. Sci. Eng.
,
185
, p.
106660
.
23.
Xie
,
C.
,
Liu
,
Y. H.
,
Li
,
X. P.
,
Wang
,
G. B.
,
Wang
,
Q. H.
, and
Zeng
,
F. H.
,
2021
, “
Numerical and Orthogonal Study on Optimization Analysis of Structure Parameters of Bubble Breaker for Electrical Submersible Pump System
,”
ASME J. Energy Resour. Technol.
,
144
(
1
), p.
012108
.
24.
Gray
,
H. E.
,
1974
, “
Vertical Flow Correlation in Gas Wells
,”
User’s Manual for API 148 Subsurface Controlled Safety Valve Sizing Computer Program, Appendix B.
25.
Orkiszewski
,
J.
,
1967
, “
Predicting Two-Phase Pressure Drops in Vertical Pipe
,”
J. Pet. Technol.
,
19
(
6
), pp.
829
838
.
26.
Rendeiro
,
C. M.
, and
Kelso
,
C. M.
,
1988
, “
An Investigation to Improve the Accuracy of Calculating Bottomhole Pressures in Flowing Gas Wells Producing Liquids
,”
Proceedings of Permian Basin Oil and Gas Recovery Conference
,
Midland, TX
,
Mar. 10–11
.
27.
Govier
,
G. W.
, and
Fogarasi
,
M.
,
1975
, “
Pressure Drop In Wells Producing Gas And Condensate
,”
J. Can. Pet. Technol.
,
14
(
4
), pp.
28
41
.
28.
Liao
,
K. G.
,
2007
, “
Study on Flow Pattern and Pressure Drop Models of Gas-Water Two-Phase Pipe Flow in 930m Experiment Well
,”
Dissertation
,
Southwest Petroleum University
,
Chengdu, China
, pp.
53
56
.
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