Seismic waves in a three-dimensional block medium

Abstract

We study numerically the propagation of seismic waves in a three-dimensional block medium. The medium is modeled by a spatial lattice of masses connected by elastic springs and viscous dampers. We study Lamb's problem under a surface point vertical load. The cases of both step and pulse load are considered. The displacements and velocities are calculated for surface masses. The influence of the viscosity of the dampers on the attenuation of perturbations is studied. We compare our numerical results for the block medium with known analytical solutions for the elastic medium.

20 pages, 11 figures, 1 table and an electronic supplementary material which consists of 11 pages, 13 figures

References in corpus (2)

• The discrete Lamb problem: Elastic lattice waves in a block medium
• Asymptotic solution of the anti-plane problem for a two-dimensional lattice

Cited by in corpus (5)

• The propagation of transient waves in two-dimensional square lattices
• Pendulum waves on the surface of block rock mass under dynamic impact
• Effect of block medium parameters on energy dissipation
• Propagation of pendulum waves under deep-seated cord charge blasting in blocky rock mass
• Model of block media taking into account internal friction