Abstract

Pressure gradient prediction is crucial in gas well analysis. The experiment is the most effective method of understanding the flow characteristics in horizontal gas wells. The greatest difference between experimental and high-pressure conditions is gas density, which could cause the established multiphase correlations unreliable when they are applied to high-pressure gas wells. Similarity numbers are widely employed in predicting flow behavior. Nevertheless, few studies focused on this area. In addition, gas wells are characterized as high gas–liquid ratio; the majority empirical correlations were developed for oil wells, which have more consideration in low gas–liquid ratio, influencing the precision of gas well models. An experimental examination of gas–liquid flow has been carried out in this study. First, the experimental test matrix was designed to meet each flow pattern. Next, the effect of gas velocity, liquid velocity, pipe diameter, water-cut, and inclined angle on liquid holdup was explored. Subsequently, the similarity numbers suggested have been investigated and assessed for pressure scaling up. Finally, a comprehensive model was established, which was developed to forecast pressure gradient in gas wells. Field data were supplied to assess the new correlation. The results demonstrated that the Duns–Ros and the modified Duns–Ros dimensionless numbers were improper for pressure scaling up, whereas the Hewitt–Robert Number performs best. Based on the field data, the new correlation with Hewitt–Robert Number was superior to extensively employed pressure drop correlations, showing that it can deal with predicting pressure gradient in gas wells.

References

1.
Ballesteros
,
M.
,
Ratkovich
,
N.
, and
Pereyra
,
E.
,
2021
, “
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
,
H.
,
Zhu
,
J.
,
Rutter
,
R.
, and
Zhang
,
H.
,
2021
, “
Experimental Study on Deteriorated Performance, Vibration, and Geometry Changes of an Electrical Submersible Pump Under Sand Water Flow Condition
,”
ASME J. Energy Resour. Technol.
,
143
(
8
), p.
082104
.
3.
Luo
,
C. C.
,
Cao
,
Y. F.
,
Liu
,
Y. H.
,
Zhong
,
S. C.
,
Zhao
,
S. H.
,
Liu
,
Z. B.
,
Liu
,
Y. X.
, and
Zheng
,
D. Z.
,
2023
, “
Experimental and Modeling Investigation on Gas-Liquid Two-Phase Flow in Horizontal Gas Wells
,”
ASME J. Energy Resour. Technol.
,
145
(
1
), p.
013102
.
4.
Hewitt
,
G. F.
, and
Roberts
,
D. N.
,
1969
,
Studies of Two-Phase Flow Patterns by Simultaneous X-ray and Flast Photography, Harwell, UK
.
5.
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
, pp.
19
26
.
6.
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
.
7.
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
.
8.
Mukherjee
,
H.
, and
Brill
,
J. P.
,
1983
, “
Liquid Holdup Correlations for Inclined Two-Phase Flow
,”
J. Pet. Technol.
,
22
(
3
), pp.
1003
1008
.
9.
Olive
,
N. R.
,
Zhang
,
H.
,
Wang
,
Q.
,
Redus
,
C. L.
, and
Brill
,
J. P.
,
2003
, “
Experimental Study of Low Liquid Loading Gas-Liquid Flow in Near-Horizontal Pipes
,”
ASME J. Energy Resour. Technol.
,
125
(
4
), pp.
294
298
.
10.
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
.
11.
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
.
12.
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
.
13.
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
.
14.
Luo
,
C.
,
Zhang
,
L.
,
Liu
,
Y.
,
Zhao
,
Y.
,
Xie
,
C.
,
Wang
,
L.
, and
Wu
,
P.
,
2020
, “
An Improved Model to Predict Liquid Holdup in Vertical Gas Wells
,”
J. Petrol. Sci. Eng.
,
184
, p.
106491
.
15.
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
.
16.
Chokshi
,
R. N.
,
Schmidt
,
Z.
, and
Doty
,
D. R.
,
1996
, “
Experimental Study and the Development of a Mechanistic Model for Two-Phase Flow Through Vertical Tubing[C]
,”
SPE Western Regional Meeting
,
Anchorage, AK
,
May 22–25
, pp.
22
24
.
17.
Baker
,
O.
,
1953
, “
Design of Pipelines for the Simultaneous Flow of Oil and Gas
,”
Fall Meeting of the Petroleum Branch of AIME, FM
,
Dallas, TX
,
Oct. 19
.
18.
Mandhane
,
H. J. M.
,
Gregory
,
G. A.
, and
Aziz
,
K.
,
1974
, “
A Flow Pattern Map for Gas-Liquid Flow in Horizontal Pipes
,”
Int. J. Multiphas. Flow
,
1
(
4
), pp.
537
553
.
19.
Oshinowo
,
T.
, and
Charles
,
M. E.
,
1974
, “
Vertical Two-Phase Flow Part I. Flow Pattern Correlations
,”
Can. J. Chem. Eng.
,
52
(
1
), pp.
25
35
.
20.
Abdelsalam
,
A.
,
Cem
,
S.
, and
Eduardo
,
P.
,
2016
, “
New Dimensionless Number for Gas–Liquid Flow in Pipes
,”
Int. J. Multiphase Flow
,
81
, pp.
15
19
.
21.
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
.
22.
Gray
,
H. E.
,
1978
,
Vertical Flow Correlation in Gas Wells
, User’s Manual for API 148 Subsurface Controlled Safety Valve Sizing Computer Program, Appendix B, 2nd ed.,
American Petroleum Institute
,
Washington, DC
.
23.
Al-Sarkhi
,
A.
, and
Sarica
,
C.
,
2010
, “
Power-Law Correlation for Two-Phase Pressure Drop of Gas/Liquid Flows in Horizontal Pipelines
,”
SPE Projects, Facilities Construct.
,
5
(
4
), pp.
176
182
.
24.
Al-Sarkhi
,
A.
,
Duc
,
V.
,
Sarica
,
C.
, and
Pereryra
,
E.
,
2016
, “
Upscaling Modeling Using Dimensional Analysis in Gas–Liquid Annular and Stratified Flows
,”
J. Petrol. Sci. Eng.
,
137
, pp.
240
249
.
25.
Kovalev
,
A. V.
,
Yagodnitsyna
,
A. A.
, and
Bilsky
,
A. V.
,
2021
, “
Determination of the Transition Boundary Between Segmented and Continuous Flow Patterns in Microfluidic Liquid-Liquid Flows Using Dimensional Analysis
,”
Thermophys. Aeromech.
,
28
(
6
), pp.
827
833
.
26.
Zhang
,
L.
,
Luo
,
C.
,
Liu
,
Y.
,
Zhao
,
Y.
, and
Xie
,
C.
,
2021
, “
A Simple and Robust Model for Prediction of Liquid-Loading Onset in Gas Wells
,”
Int. J. Oil Gas Coal Technol.
,
26
(
3
), pp.
245
262
.
27.
Liu
,
Y.
,
Luo
,
C.
,
Zhang
,
L.
,
Liu
,
Z.
,
Xie
,
C.
, and
Wu
,
P.
,
2018
, “
Experimental and Modeling Studies on the Prediction of Liquid Loading Onset in Gas Wells
,”
J. Nat. Gas Sci. Eng.
,
57
, pp.
349
358
.
28.
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
.
29.
Zhao
,
J. Y.
,
2014
, “
Wave Behaviour in Vertical Multiphase Flow
,”
Dissertation
,
Imperial College London
,
London, UK
.
30.
Felizola
,
H.
,
1992
,
Slug Flow in Extended Reach Directional Wells
,
University of Tulsa, Fluid Flow Projects
,
Oklahoma
.
31.
Sutton
,
R. P.
,
Cox
,
S. A.
,
Lea
,
J. F.
, and
Rowlan
,
O. L.
,
2010
, “
Guidelines for the Proper Application of Critical Velocity Calculations
,”
SPE Prod. Oper.
,
25
(
2
), pp.
182
194
.
32.
Liao
,
K. G.
,
2007
, “
Study on Flow Pattern and Pressure Drop Models of Gas-Water Two-Phase Pipe Flow in 930 m Experiment Well
,”
Dissertation
,
Southwest Petroleum University
,
Chengdu, China
, pp.
53
56
.
33.
Govier
,
G. W.
, and
Fogarasi
,
M.
,
1975
, “
Pressure Drop in Wells Producing Gas and Condensate
,”
J. Can. Pet. Technol.
,
14
(
4
), pp.
28
41
.
34.
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
, pp.
321
330
.
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