Modeling of Wave Propagation in a Blocky Medium with Thin Viscoelastic Interlayers in a Spatial Setting

A three-dimensional model of a blocky medium with elastic blocks and thin elastic andviscoelastic interlayers is considered. The interlayers are described by simplifieddifferential-difference relations. A numerical algorithm for solving dynamical problems based onsplitting method is presented. The results of simulation of wave propagation in blocky half-spaceare presented. We compare the behaviour of surface waves arising in a blocky layered medium andin a discrete periodic medium consisting of rigid masses connected to each other by elastic springs.Results of computations using the proposed model are in good agreement with the experimentaldata.