Locating leakage in pipelines based on the adjoint equation of inversion modeling

Chang Chang; Xiangli Li; Lin Duanmu; Hongwei Li; Wenbin Zhou

doi:10.1016/j.heliyon.2023.e17270

Locating leakage in pipelines based on the adjoint equation of inversion modeling

Chang Chang
, Xiangli Li (Lead / Corresponding author)
, Lin Duanmu
, Hongwei Li
, Wenbin Zhou (Lead / Corresponding author)

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

142 Downloads (Pure)

Abstract

This paper presents an adjoint method for locating potential leakage in a single-phase fluid pipeline based on the analytic solution of inversion modeling. By studying the mechanism of pipeline leakage pressure, the adjoint equation based on the governing equation of transient flow is established in the single-liquid phase aspect using inverse adjoint theory and sensitivity analysis method. The inverse transient adjoint equation is primarily derived from the single linear fluid pipeline in the semi-infinite domain. The Laplace method is then used to obtain an analytical solution that determines the location of pipeline leakage. The experimental results indicate that the analytic solution can quickly and accurately judge the leakage location of the pipeline. Furthermore, it presents a new approach to engineering applications, such as gas-liquid two-phase flow complex pipe networks, etc.

Original language	English
Article number	e17270
Number of pages	12
Journal	Heliyon
Volume	9
Issue number	6
Early online date	14 Jun 2023
DOIs	https://doi.org/10.1016/j.heliyon.2023.e17270
Publication status	Published - Jun 2023

Keywords

Pipeline leakage
Inversion modeling
Sensitivity analysis
Adjoint equation

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10.1016/j.heliyon.2023.e17270Licence: CC BY-NC-ND

Final Published VersionFinal published version, 2.35 MBLicence: CC BY-NC-ND

Cite this

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title = "Locating leakage in pipelines based on the adjoint equation of inversion modeling",

abstract = "This paper presents an adjoint method for locating potential leakage in a single-phase fluid pipeline based on the analytic solution of inversion modeling. By studying the mechanism of pipeline leakage pressure, the adjoint equation based on the governing equation of transient flow is established in the single-liquid phase aspect using inverse adjoint theory and sensitivity analysis method. The inverse transient adjoint equation is primarily derived from the single linear fluid pipeline in the semi-infinite domain. The Laplace method is then used to obtain an analytical solution that determines the location of pipeline leakage. The experimental results indicate that the analytic solution can quickly and accurately judge the leakage location of the pipeline. Furthermore, it presents a new approach to engineering applications, such as gas-liquid two-phase flow complex pipe networks, etc.",

keywords = "Pipeline leakage, Inversion modeling, Sensitivity analysis, Adjoint equation",

author = "Chang Chang and Xiangli Li and Lin Duanmu and Hongwei Li and Wenbin Zhou",

note = "Funding Information: This study was supported by the National Natural Science Foundation of China (Grant No. 52078097). Copyright: {\textcopyright} 2023 The Authors. Published by Elsevier Ltd.",

year = "2023",

month = jun,

doi = "10.1016/j.heliyon.2023.e17270",

language = "English",

volume = "9",

journal = "Heliyon",

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T1 - Locating leakage in pipelines based on the adjoint equation of inversion modeling

AU - Chang, Chang

AU - Li, Xiangli

AU - Duanmu, Lin

AU - Li, Hongwei

AU - Zhou, Wenbin

PY - 2023/6

Y1 - 2023/6

N2 - This paper presents an adjoint method for locating potential leakage in a single-phase fluid pipeline based on the analytic solution of inversion modeling. By studying the mechanism of pipeline leakage pressure, the adjoint equation based on the governing equation of transient flow is established in the single-liquid phase aspect using inverse adjoint theory and sensitivity analysis method. The inverse transient adjoint equation is primarily derived from the single linear fluid pipeline in the semi-infinite domain. The Laplace method is then used to obtain an analytical solution that determines the location of pipeline leakage. The experimental results indicate that the analytic solution can quickly and accurately judge the leakage location of the pipeline. Furthermore, it presents a new approach to engineering applications, such as gas-liquid two-phase flow complex pipe networks, etc.

AB - This paper presents an adjoint method for locating potential leakage in a single-phase fluid pipeline based on the analytic solution of inversion modeling. By studying the mechanism of pipeline leakage pressure, the adjoint equation based on the governing equation of transient flow is established in the single-liquid phase aspect using inverse adjoint theory and sensitivity analysis method. The inverse transient adjoint equation is primarily derived from the single linear fluid pipeline in the semi-infinite domain. The Laplace method is then used to obtain an analytical solution that determines the location of pipeline leakage. The experimental results indicate that the analytic solution can quickly and accurately judge the leakage location of the pipeline. Furthermore, it presents a new approach to engineering applications, such as gas-liquid two-phase flow complex pipe networks, etc.

KW - Pipeline leakage

KW - Inversion modeling

KW - Sensitivity analysis

KW - Adjoint equation

UR - https://www.scopus.com/pages/publications/85161994319

U2 - 10.1016/j.heliyon.2023.e17270

DO - 10.1016/j.heliyon.2023.e17270

M3 - Article

C2 - 37383185

SN - 2405-8440

VL - 9

JO - Heliyon

JF - Heliyon

IS - 6

M1 - e17270

ER -

Locating leakage in pipelines based on the adjoint equation of inversion modeling

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