The propagation and attenuation of pressure waves in highly dispersed gas–liquid flows are investigated in this work, and an indirect measurement method is proposed to assess the attenuation coefficient in short pipelines. Additionally, a mechanistic acoustic energy dissipation model is derived from the oscillatory solutions of one-dimensional (1D) nondimensionalized mass and momentum equations to facilitate the interpretation of the results. Tests were performed on a 1500 m long, 50 mm internal diameter pipeline in which pressure disturbances were induced by suddenly opening leak valves. The results are consistent and in good agreement with the proposed attenuation model (±10% for 103 < Re < 104), therefore validating the proposed model and indirect measurement method.

References

1.
Sim
,
S.
,
Cole
,
I. S.
,
Choi
,
Y.-S.
, and
Birbilis
,
N.
,
2014
, “
A Review of the Protection Strategies Against Internal Corrosion for the Safe Transport of Supercritical CO2 Via Steel Pipelines for CCS Purposes
,”
Int. J. Greenhouse Gas Control
,
29
, pp.
185
199
.
2.
Ferrante
,
M.
, and
Brunone
,
B.
,
2003
, “
Pipe System Diagnosis and Leak Detection by Unsteady-State Tests—1: Harmonic Analysis
,”
Adv. Water Resour.
,
26
(
1
), pp.
95
105
.
3.
Ferrante
,
M.
, and
Brunone
,
B.
,
2003
, “
Pipe System Diagnosis and Leak Detection by Unsteady-State Tests—2: Wavelet Analysis
,”
Adv. Water Resour.
,
26
(
1
), pp.
107
116
.
4.
Leinov
,
E.
,
Lowe
,
M. J. S.
, and
Cawley
,
P.
,
2015
, “
Investigation of Guided Wave Propagation and Attenuation in Pipe Buried in Sand
,”
J. Sound Vib.
,
347
, pp.
96
114
.
5.
Almeida
,
F. C. L.
,
Brennan
,
M. J.
,
Joseph
,
P. F.
,
Dray
,
S.
,
Whitfield
,
S.
, and
Paschoalini
,
A. T.
,
2014
, “
Measurement of Wave Attenuation in Buried Plastic Water Distribution Pipes
,”
J. Mech. Eng.
,
60
(5), pp.
298
306
.
6.
Boyd
,
J. W. R.
, and
Varley
,
J.
,
2001
, “
The Uses of Passive Measurement of Acoustic Emissions From Chemical Engineering Processes
,”
Chem. Eng. Sci.
,
56
(
5
), pp.
1749
1767
.
7.
Atkinson
,
C. M.
, and
Kytömaa
,
H. K.
,
1992
, “
Acoustic Wave Speed and Attenuation in Suspensions
,”
Int. J. Multiphase Flow
,
18
(
4
), pp.
577
592
.
8.
Chung
,
N. M.
,
Lin
,
W. K.
,
Pei
,
B. S.
, and
Hsu
,
Y. Y.
,
1992
, “
Sound Attenuation and Its Relationship With Interfacial Area Density in an Air-Water Two-Phase Bubbly Flow
,”
Flow Meas. Instrum.
,
3
(
1
), pp.
45
53
.
9.
Martins
,
C. S.
, and
Padmanabhan
,
M.
,
1979
, “
Pressure Pulse Propagation in Two-Component Slug Flow
,”
ASME J. Fluids Eng.
,
101
(
1
), pp.
44
52
.
10.
Nigmatulin
,
R. I.
,
1995
, “
Some Fundamentals and Applications, Paradoxes and Myths in Mechanics of Multiphase Flow
,”
Proceedings of the 2nd International Conference on Multiphase Flow, Vol. 1
, April 3–7, Kyoto, Japan.
11.
Xu
,
X. X.
, and
Gong
,
J.
,
2008
, “
A United Model for Predicting Pressure Wave Speeds in Oil and Gas Two-Phase Pipeflows
,”
J. Pet. Sci. Eng.
,
60
(
3–4
), pp.
150
160
.
12.
Huang
,
F.
,
Takahashi
,
M.
, and
Guo
,
L.
,
2005
, “
Pressure Wave Propagation in Air-Water Bubbly and Slug Flow
,”
Prog. Nucl. Energy
,
47
(
1–4
), pp.
648
655
.
13.
Wang
,
H.
,
Priestman
,
G. H.
,
Beck
,
S. B. M.
, and
Boucher
,
R. F.
,
2000
, “
Measurement and Simulation of Pressure Wave Attenuation in Upward Air-Water Bubbly Flow
,”
Int. J. Heat Fluid Flow
,
21
(
1
), pp.
104
111
.
14.
Wylie
,
E. B.
,
Streeter
,
V. L.
, and
Suo
,
L.
,
1993
,
Fluid Transients in Systems
, Vol.
1
,
Prentice Hall
,
Englewood Cliffs, NJ
.
15.
Chaudhuri
,
A.
,
Osterhoudt
,
C. F.
, and
Sinha
,
D. N.
,
2012
, “
An Algorithm for Determining Volume Fractions in Two-Phase Liquid Flows by Measuring Sound Speed
,”
ASME J. Fluids Eng.
,
134
(
10
), p.
101301
.
16.
Barabanov
,
S. A.
, and
Glikman
,
B. F.
,
2009
, “
The Attenuation Coefficient of an Acoustic Wave Propagating in a Turbulent Flow in a Long Pipeline
,”
Acoust. Phys.
,
55
(
2
), pp.
170
177
.
17.
Press
,
W. H.
,
2007
,
Numerical Recipes: The Art of Scientific Computing
, 3rd ed.,
Cambridge University Press
, New York, p.
1235
.
18.
Meniconi
,
S.
,
Brunone
,
B.
,
Ferrante
,
M.
, and
Massari
,
C.
,
2014
, “
Energy Dissipation and Pressure Decay During Transients in Viscoelastic Pipes With an In-Line Valve
,”
J. Fluids Struct.
,
45
, pp.
235
249
.
19.
Wahba
,
E. M.
,
2008
, “
Modelling the Attenuation of Laminar Fluid Transients in Piping Systems
,”
Appl. Math. Modell.
,
32
(
12
), pp.
2863
2871
.
20.
Wahba
,
E. M.
,
2015
, “
On the Propagation and Attenuation of Turbulent Fluid Transients in Circular Pipes
,”
ASME J. Fluids Eng.
,
138
(
3
), p.
031106
.
21.
Martins
,
J. C.
, and
Seleghim
,
P. J.
,
2010
, “
Assessment of the Performance of Acoustic and Mass Balance Methods for Leak Detection in Pipelines for Transporting Liquids
,”
ASME J. Fluids Eng.
,
132
(
1
), p.
011401
.
22.
Pezzinga
,
G.
,
Brunone
,
B.
,
Cannizzaro
,
D.
,
Ferrante
,
M.
,
Meniconi
,
S.
, and
Berni
,
A.
,
2014
, “
Two-Dimensional Features of Viscoelastic Models of Pipe Transients
,”
ASCE J. Hydraul. Eng.
,
140
(
8
), p.
0401403
.
23.
Huan
,
H.-F.
,
Ghidaoui
,
M.
,
Lee
,
P. J.
, and
Tung
,
Y. K.
,
2010
, “
Unsteady Friction and Visco-Elasticity in Pipe Fluid Transients
,”
J. Hydraul. Res.
,
48
(
3
), pp.
354
362
.
24.
Churchill
,
S. W.
,
1977
, “
Friction-Factor Equation Spans All Fluid-Flow Regimes
,”
Chem. Eng.
,
84
(
24
), pp.
91
92
.
25.
Ishii
,
M.
, and
Zuber
,
N.
,
1979
, “
Drag Coefficient and Relative Velocity in Bubbly, Droplet and Particulate Flow
,”
AlChE J.
,
25
(
5
), pp.
843
854
.
26.
Falk
,
K.
,
1999
, “
Pressure Pulse Propagation in Gas-Liquid Pipe Flow, Modeling, Experiments and Field Testing
,” Ph.D. thesis, Norwegian University of Science and Technology, Trondheim, Norway.
27.
Ogilvie
,
J. F.
,
1984
, “
A Monte-Carlo Approach to Error Propagation
,”
Comput. Chem.
,
8
(
3
), pp.
205
207
.
28.
Lemmon
,
E. W.
,
Huber
,
M. L.
, and
McLinden
,
M. O.
,
2013
, “
NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 9.1
,” National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, MD.
You do not currently have access to this content.