Simulation of soil behavior under longitudinal motion of underground pipeline in one-dimensional statement

The process of shear interaction of an underground pipeline with soil is numerically modeled in a one-dimensional statement. The main attention is paid to the behavior of soil around the pipeline. The deformation characteristics of the pipeline are ignored. A technique for the numerical solution of a one-dimensional problem of soil behavior and shear wave propagation using the finite difference method was developed. The developed method of numerical research made it possible to take into account the nonlinear properties of soil strain and it was tested for elastic and viscoelastic simulation of soils. Numerical results were obtained for the shear wave propagation in elastic and viscoelastic soil under the longitudinal motion of an underground pipeline. The results obtained showed the attenuation of the wave parameters with distance from the cross section of the underground pipeline. The attenuation of waves with distance is justified by the dissipation of the deformation energy on an expanding cylindrical soil layer. In the case of viscoelastic soil, attenuation in time in fixed points of soil is also observed, the maximum shear stresses are reached near the contact surface of the underground pipeline, and in this area, an intensive decrease in the shear stress amplitude is observed.

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