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Mathematical Models for the Integrity Control of the Linear Parts of Gas Mains

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We formulate boundary-value problems modeling gas flows in long pipelines for different conditions of external control. By using the data of monitoring of the parameters of flow at the entrance of the pipeline and at its exit and the solutions of formulated problems obtained on the basis of these data, we propose criteria for the integrity of pipeline. We separately consider the case where additional empirical data on the parameters of flow at intermediate points are available. We discuss the possibility of application of the accumulated results for the development of new methods and systems aimed at controlling the integrity of gas pipelines.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    V. F. Chekurin

  2. Lviv Polytechnic National University, Lviv, Ukraine

    О. М. Khymko

Authors
  1. V. F. Chekurin
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  2. О. М. Khymko
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Correspondence to О. М. Khymko.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 4, pp. 139–149, October–December, 2020.

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Chekurin, V.F., Khymko, О.М. Mathematical Models for the Integrity Control of the Linear Parts of Gas Mains. J Math Sci 273, 1051–1062 (2023). https://doi.org/10.1007/s10958-023-06564-1

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  • DOI: https://doi.org/10.1007/s10958-023-06564-1

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