Parallel Technologies in Unsteady Problems of Soil Dynamics

Abstract

The paper focuses on parallel technologies in numerical modeling of unsteady soil dynamics for the trenchless technology of well construction. The consolidated cores being formed at the pulse pressing of a hollow pipe into the soil is a feature of the trenchless technology used for underground pipeline laying. In contrast to the soil that is simulated as a granular medium, the consolidated core is simulated as a porous medium due to its shear stresses. The equations of granular medium dynamics are approximated by a completely implicit scheme following the finite volume method, while the equations of porous medium dynamics are approximated by an explicit scheme based on the WENO-Runge-Kutta method. Very fast processes of forming and breaking a consolidated plug require using an explicit scheme. Nonlinear models of porous core medium and models of granular soil medium involve thermal processes and are thermodynamically compatible. In this work, we examine the patterns and efficiency of a parallel algorithm in reference to the used differential approximation methods of the equations describing the continuous heterophase media mechanics.