Analysis of oscillation processes in a blocky medium by means of continuous models

Analysis of oscillation processes in a blocky medium is fulfilled using models, wherein elastic blocks interact via inter-layers with different mechanical properties. To describe wave processes, three different models are applied. First model considers elastic interaction between blocks; second one is the viscoelastic Pointing-Thomson model, that combines both Maxwell and Kelvin-Voigt models, and third one, named as the model with a rigid contact, excludes a possibility of blocks interpenetration. The dissipationless Ivanov scheme is applied in interlayers, while in blocks the Godunov gap decay scheme is used. It is shown that additional enclosing equations, which guarantee absence of energy dissipation in the Ivanov scheme, provide thermodynamic consistency of the model, meaning that the difference analogue of the energy conservation law for blocky structures is performed. Using the MPI technology, a parallel software is designed for simulation of the elastic waves propagation in a two-dimensional blocky medium.