Non-stationary processes in the gas transmission systems at compressor stations shut-down

Abstract

There are presented results of analytical studies of the nature and duration of non-stationary processes in complex gas
transmission systems caused by the shut-down mode of individual compressor stations. A mathematical model of the gas pipeline
has been made, taking into account the influence of compressor stations on the basis of classical gas flow and continuity
equations using the Dirac source functions. Realization of the created mathematical model by application of the Fourier and
Laplace integral transforms allowed to obtain a dependence in the analytical form, reflecting the nature of the oscillation in time
of the mass flow of gas in the initial and final sections of the gas pipeline. The constructed graphical dependences of the trend in
the performance of the gas transportation system at its beginning and at the end showed the effect of placing the compressor
station in the gas transportation system, in particular its serial number on the route number, on the nature of the non-stationary
process caused by its stop, in particular, the duration of non-stationarity. The results obtained and the final conclusions will be
useful in forecasting the operating modes of gas transmission systems, especially when they are not fully loaded.