ANALYSIS OF SIMPLIFIED GAS TRANSPORTATION MODELS. CALCULATION OF THE GAS LEAK LOCATION IN A PIPELINE

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2022-01-01 DOI:10.21638/11701/spbu10.2022.205

G. Kurbatova, E. Vinogradova, V. A. Klemeshev

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Abstract

An approach to a simplified calculation of the characteristics of a steady gas flow through a pipeline is proposed. In this approach, the pressure is calculated using an isothermal model; the temperature analysis is reduced to a cubic equation solving. A simple analytical gas leak point coordinate dependence on the pressure and gas flow values is obtained at outlet from the pipeline. The result of comparison of calculations for the general and simplified models of gas flow in pipelines is presented. A criterion has been determined for the fulfillment of which it is permissible to use a simplified approach to calculating the gas characteristics and the leak point coordinates. Using an example of practical interest, the high accuracy of the calculation according to the proposed approach of both pressure and temperature in the flow and the gas leak coordinate in the pipeline is demonstrated.

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简化气体输运模型分析。管道气体泄漏位置的计算

提出了一种简化计算管道中稳定气体流动特性的方法。在这种方法中，压力是使用等温模型计算的;温度分析可简化为三次方程求解。在管道出口处得到了与压力和气体流量值相关的简单解析气体泄漏点坐标。给出了管道内气体流动的一般模型和简化模型的计算结果比较。已经确定了一个标准，允许使用一种简化的方法来计算气体特性和泄漏点坐标。算例表明，该方法能同时计算管道内的压力、温度和气体泄漏坐标，具有较高的计算精度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.