Systems analysis and algorithms for calculation of the complex index of shock-vibration impact of the gas flows on the walls of complex technological pipelines

A systematic analysis of complex indices of high and low pressure pulse impact on the standard components of complex technological pipelines (CTP) was carried out. To evaluate the effects of vibration and shock impact on the walls of CTP four classes of complex factors were offered: hydrodynamic, statistical, fractal-geometric and amplitude-frequency. Using system analysis methodology and continuous wavelet transform of time-series of gas flow pressure impact on the pipeline tee-node had been studied. Owing to it, sixteen turbulent structures of different scale were found. System analysis of approximations and details of the discrete wavelet transform (DWT) of time-series of gas flow pressure let to reveal that the mean, median and mean-square values of the low-frequency components is almost two times higher than similar values of high-frequency components of the DWT, which means that low-frequency components of pressure shocks represent more danger to pipeline than similar high-frequency components. It was also found that the standard deviation of the low-frequency components of the DWT is less than similar high-frequency values, which means that the low-frequency pulsations are more localized and have a more pointed impact on the pipeline and so represent more danger for the pipeline integrity.