TY - JOUR

T1 - АНАЛИЗ УПРОЩЕННЫХ МОДЕЛЕЙ ТРАНСПОРТИРОВКИ ГАЗА. РАСЧЕТ МЕСТОПОЛОЖЕНИЯ УТЕЧКИ ГАЗА В ТРУБОПРОВОДЕ

AU - Курбатова, Галина Ибрагимовна

AU - Виноградова, Екатерина Михайловна

AU - Клемешев, Владимир Алексеевич

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - analytical calculation of pressure

KW - coordinates of the leak

KW - mathematical model

KW - natural gas flow

KW - simplifications

KW - temperature

UR - http://www.scopus.com/inward/record.url?scp=85139010102&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/43b0f875-8789-320f-932f-d5a1a27c0ee5/

U2 - 10.21638/11701/spbu10.2022.205

DO - 10.21638/11701/spbu10.2022.205

M3 - статья

VL - 18

SP - 239

EP - 252

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 2

ER -