Numerical solution of problem of longitudinal vibration of underground pipeline by the method of finite differences

This paper analyzes the dynamic response of a wave propagating to soil horizontally through pipe. That is, state considers linear viscoelastic model interaction "pipe-soil" system. problem is solved using numerical method differential equations. The longitudinal in ground taken as sinusoid. And also, article, we will compare comparative analysis results for some values coefficients elasticity and viscosity taste, propagation velocity, pulse duration. In current flow system, reflections waves an underground pipeline at boundaries pipeline, usually soils. leads change shape value which can double. coefficient system contact attenuation front pipeline. For soils with viscous more than 100 kN·s/m 2 , this may lead complete bursts ratio steps along coordinate time equal obtaining that coincide exact nature.