Mathematical modeling of the flow in a pipeline with a leak

被引：40

作者：

Sun, Liang ^{[1
]}

机构：

[1] China Univ Petr, Coll Informat & Control Engn, Qingdao 266580, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2012年 / 82卷 / 11期

基金：

美国国家科学基金会;

关键词：

Pipeline; Mathematical modeling; Hydraulic-electric analogy; Leakage; Equivalent circuit; COMPRESSIBLE FLUIDS; RELEASE RATE; GAS; RUPTURE;

D O I：

10.1016/j.matcom.2012.06.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Pipeline leaks can lead to excessive economical loss as well as posing environmental hazards. Mathematical modeling of the flow in a pipeline with a leak can be used to evaluate the loss caused by a leak and provide a guide for pipeline operation as well as an aid for leak detection. The mathematical expressions describing the flow in a pipeline with a leak have been formulated. A new approach based on the analogy between pipeline and electric circuit has been proposed to solve these equations. In this approach, an equivalent circuit with a certain structure has been used to simulate the leaking pipeline and the flow characteristics of the pipeline end have been treated with approximation. The mathematical model of the pipeline with a leak has been developed with the solution of the equations. The model was verified by using an experimental gas pipeline and a real oil pipeline. The simulated results agreed well with the experimental recordings confirmed the accuracy of the models and the validity and efficiency of the proposed approach. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：2253 / 2267

页数：15

共 50 条

[31] An improved method of soil-gas sampling for pipeline leak detection: Flow model analysis and laboratory test [J].

Chen, Y. ;

Kuo, T. ;

Kao, W. ;

Tsai, J. ;

Chen, W. ;

Fan, K. .

JOURNAL OF NATURAL GAS SCIENCE AND ENGINEERING, 2017, 42 :226-231

[32] Gas pipeline leak noise measurements using optical fibre distributed acoustic sensing [J].

Muggleton, J. M. ;

Hunt, R. ;

Rustighi, E. ;

Lees, G. ;

Pearce, A. .

JOURNAL OF NATURAL GAS SCIENCE AND ENGINEERING, 2020, 78

[33] Energy Analysis for Transient-Leak Interaction and Implication to Leak Detection in Water Pipeline Systems [J].

Pan, Bin ;

Keramat, Alireza ;

Duan, Huan-Feng .

JOURNAL OF HYDRAULIC ENGINEERING, 2023, 149 (09)

[34] The leakage behavior of supercritical CO2 flow in an experimental pipeline system [J].

Xie, Qiyuan ;

Tu, Ran ;

Jiang, Xi ;

Li, Kang ;

Zhou, Xuejin .

APPLIED ENERGY, 2014, 130 :574-580

[35] Modeling pipeline corrosion under a disbonded coating under the influence of underneath flow [J].

Song, F. M. ;

Sridhar, N. .

CORROSION, 2008, 64 (01) :40-50

[36] Modified Flow Rate Algorithm for Leak Detection in Transient State from a Liquid Pipeline's Operating Point Change [J].

Ostapkowicz, Pawel ;

Turkowski, Mateusz ;

Bratek, Andrzej .

RECENT GLOBAL RESEARCH AND EDUCATION: TECHNOLOGICAL CHALLENGES, 2017, 519 :387-393

[37] On Mathematical Modeling of a Hypersonic Flow Past a Thin Wing with Variable Shape [J].

V. I. Bogatko ;

E. A. Potekhina .

Vestnik St. Petersburg University, Mathematics, 2021, 54 :395-399

[38] MATHEMATICAL-MODELING OF THE FLOW OF 4 FLUIDS IN A PACKED-BED [J].

YAGI, J .

ISIJ INTERNATIONAL, 1993, 33 (06) :619-639

[39] Pipeline leak location based on particle filter and compressed sensing [J].

He N. ;

Chen Y. ;

He L. ;

Jiang Y. .

Yi Qi Yi Biao Xue Bao/Chinese Journal of Scientific Instrument, 2019, 40 (12) :36-46

[40] Mathematical Modeling of a Self-Oscillating Catalytic Reaction in a Flow Reactor [J].

Peskov, N. V. ;

Slinko, M. M. .

KINETICS AND CATALYSIS, 2024, 65 (02) :211-218

← 1 2 3 4 5 →