Mathematical Modeling of Seismodynamics of an Extended Pipeline in Liquefiable Soil

The problem of the impact of a longitudinal non-stationary seismic wave on an underground extended pipeline is considered, taking into account the destruction of soil structure and its transition to a liquefied state. On the basis of experimental data, it is assumed that when the value of shear stress at the pipeline-soil contact points is exceeded, structural destruction of soil begins. After completion of the destruction process, the soil passes into a liquefied state, determined by the coefficient of dynamic viscosity. The statement of the problem is math-ematically formulated for a piecewise linear approximation of the law of soil interaction with the pipeline. The problems are solved by the explicit finite differences method. In the interaction model during the transition from one state to another, iterative refinement of the solution to the problem is performed. The analysis of the results obtained is conducted and the influence of structural destruction and soil liquefaction on the wave process in the pipeline is shown.

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