Leaks in pipelines are unintentional releases of quantities of products from pipelines into the environment. Leaks contribute to the environmental pollution, promote corrosion and equipment failures, and produce instabilities in the pipeline operation and control. Pipeline leaks are commonly associated with third party damage, corrosion, equipment failures, and errors in pipeline design and operation. Being able to accurately detect the location of leaks is imperative. One objective of this paper is to develop a mathematical model that accounts for the behavior of pressure and flow-rate profiles in leaky pipeline systems. Such a mathematical model is needed to better understand the dynamic behavior of the pipeline and its characteristics and for the detection the leaks. The paper also involves computer simulation of pipeline conditions using the developed mathematical model and Kalman filtering technique. Leak localization is accomplished by scanning the pipeline from the inlet node to the outlet one to find the node at which the minimum residuals are obtained. Simulation results are reported to demonstrate the effectiveness of the proposed leak localization scheme.

References

References
1.
Pesta
,
T. J.
, and
Cassley
,
A.
, 1992, “
Leak Detection—A Regulatory Perspective
,”
Proceedings of the Offshore Mechanics and Arctic Engineering Conference
,
ASME
,
Calgary, Canada
, pp.
493
500
.
2.
Liou
,
J. C. P.
, and
Tian
,
J.
, 1995, “
Leak Detection-Transient Flow Simulation Approaches
,”
ASME J. Energy Resour. Technol.
,
117
, pp.
243
248
.
3.
Shields
,
D. N.
,
Ashton
,
S. A.
, and
Dalys
,
S.
, 2001, “
Robust Fault Detection Observers for Nonlinear Polynomial Systems
,”
Int. J. Syst. Sci.
,
32
(
6
), pp.
723
737
.
4.
Verde
,
C.
, 2001, “
Multi-Leak Detection and Isolation in Fluid Pipelines
,”
Control Eng. Pract.
,
9
, pp.
673
682
.
5.
Willsky
,
A. S.
, “
A Survey of Design Methods for Failure Detection in Dynamic Systems
,”
Automatica
,
12
, pp.
601
611
.
6.
Rougier
,
J.
, “
Probabilistic Leak Detection in Pipelines Using the Mass Imbalance Approach
,”
J. Hydraul. Res.
,
43
(
5
), pp.
556
566
.
7.
Yoon
,
M. S.
,
Mensik
,
M.
, and
Luk
,
W. Y.
, 1988, “
Canadian Pipeline Installs Leak-Detection System
,”
Oil Gas J.
,
86
, pp.
77
85
.
8.
Shabaik
,
H. E.
,
Khulief
,
Y. A.
, and
Hussaini
,
I.
, 2002, “
A Non-Linear Multiple State Estimation Scheme for Pipeline Leak Detection and Isolation
,”
J. Syst. Control Eng.
,
216
(
6
), pp.
497
512
.
9.
Khulief
,
Y. A.
, and
Shabaik
,
E. H. E.
, 2006, “
Laboratory Investigation of a Multiple-Model State Estimation Scheme for Detection and Isolation of Leaks in Pipeline Systems
,”
Proc. Inst. Mech. Eng., Part I: J. Syst. Control Eng.
,
220
(
1
), pp.
1
13
.
10.
Welch
,
G.
, 2003,
The Kalman Filter Learning Tool Dynamic and Measurement Models
,
University of North California
.
11.
Welch
,
G.
, and
Bishop
,
G.
, 2001,
An Introduction to the Kalman Filter
,
University of North California
.
12.
Levy
,
L. J.
, 1998, “
Innovation: The Kalman Filter: Navigation’s Integration Workhorse
,”
GPS World
,
8
(
9
), pp.
65
71
.
13.
Streeter
,
V. L.
, and
Wyile
,
E. B.
, 1998,
Fluid Mechanics
,
International 9th revised ed.
,
McGraw-Hill Higher Education
,
New York
.
14.
Liou
,
J. C. P.
, and
Tian
,
J.
, 1995, “
Leak Detection—Transient Flow Simulation Approaches
,”
ASME J. Energy Resour. Technol.
,
117
, pp.
243
248
.
15.
Gengel
,
Y. A.
, and
Cimbala
,
J. M.
, 2006,
Fluid Mechanics
,
McGraw-Hill Higher Education
,
New York
.
16.
Faragó
,
I.
, and
Palencia
,
C.
, 2002, “
Sharpening the Estimate of the Stability Constant in the Maximum-Norm of the Crank–Nicolson Scheme for the One-Dimensional Heat Equation
,”
Appl. Numer. Math.
,
42
(
1–3
), pp.
133
140
.
17.
Adeosun
,
T. A.
,
Olatunde
,
O. A.
,
Aderohunmu
,
J. O.
, and
Ogunjare
,
T. O.
, 2009, “
Development of Unsteady-State Weymouth Equations for Gas Volumetric Flow Rate in Horizontal and Inclined Pipes
,”
J. Nat. Gas Sci. Eng.
,
1
, pp.
113
117
.
You do not currently have access to this content.