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Mathematical modeling of the flow in a pipeline with a leak

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  • Sun, Liang

Abstract

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.

Suggested Citation

  • Sun, Liang, 2012. "Mathematical modeling of the flow in a pipeline with a leak," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(11), pages 2253-2267.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:11:p:2253-2267
    DOI: 10.1016/j.matcom.2012.06.007
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    References listed on IDEAS

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    1. Lin, Kang & Holbert, Keith E., 2009. "Applying the equivalent pi circuit to the modeling of hydraulic pressurized lines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2064-2075.
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    Cited by:

    1. Szoplik, Jolanta & Stelmasińska, Paulina, 2019. "Analysis of gas network storage capacity for alternative fuels in Poland," Energy, Elsevier, vol. 172(C), pages 343-353.
    2. Szoplik, Jolanta, 2016. "Improving the natural gas transporting based on the steady state simulation results," Energy, Elsevier, vol. 109(C), pages 105-116.
    3. Liu, Shengli & Liang, Yongtu, 2021. "Statistics of catastrophic hazardous liquid pipeline accidents," Reliability Engineering and System Safety, Elsevier, vol. 208(C).

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