Seismic waves in a three-dimensional block medium

We study numerically the propagation of seismic waves in a three-dimensional block medium. The medium is modelled 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 a...

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Bibliographic Details
Published inProceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 472; no. 2192; p. 20160111
Main Author Aleksandrova, N. I.
Format Journal Article
LanguageEnglish
Published The Royal Society Publishing 01.08.2016
Subjects
Attenuation
Block Medium
Dampers
Half Space
Lamb
Lamb's Problem
Mathematical models
Numerical Simulation
Rayleigh Wave
Seismic waves
Springs
Vertical loads
Wave Motion
Wave propagation
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Summary:We study numerically the propagation of seismic waves in a three-dimensional block medium. The medium is modelled 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.
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ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2016.0111