Nonstationary current in a main gas pipeline at longitudinal seismic influence

Abstract

The nonstationary hydrodynamic processes in the linear part of main gas pipeline are considered that are caused by a flat longitudinal seismic wave, which propagates along the pipe axis without causing its displacement. Distribution of pressure along the piping line is defined by known pressure values at the ends of the pipeline. A representation of the simplified approximate analytical solution is proposed to the corresponding modernized system of equations in partial derivatives. The solution is based on application of operational calculus and perturbation methods.