Discrete visco-elastic lattice methods for seismic wave propagation

Dispersion analysis and computational efficiency of elastic lattice methods for seismic wave propagation

Discrete particle methods or elastic lattice methods represent a 3D elastic solid by a series of interconnected springs arranged on a regular lattice. Generally, these methods only consider nearest neighbour interactions, i.e. they are first-order in space. These interconnected springs interacted through a force term (Hooke’s Law for an elastic body), which when viewed on a macroscopic scale pr...

Wave Propagation Approach to Fluid Filled Submerged Visco-Elastic Finite Cylindrical Shells

Multi-layer orthotropic finite cylindrical shells with a viscoelastic core in contact with fluids are gaining increasing importance in engineering. Vibrational control of these structures is essential at higher modes. In this study, an extended version of the wave propagation approach using first-order shear deformation theory of shell motion is employed to examine the free vibration of damped ...

Sweeping Preconditioners for Elastic Wave Propagation with Spectral Element Methods

We present a parallel preconditioning method for the iterative solution of the time-harmonic elastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In particular, the method leverages perfectly matched layer boundary conditions to efficiently approximate the Schur complement matrices of a block LDL factorization. Both sequential and parallel versions ...

Surface Wave Propagation in Non Homogeneous, General Magneto-Thermo, Visco-Elastic Media

The aim of the present paper is to investigate the surface waves in a non-homogeneous, isotropic, visco-elastic solid medium of nth order including time rate of strain. The theory of generalized surface waves has firstly been developed and then it has been employed to investigate particular cases of waves, viz., Stonely and Rayleigh, Love type. The wave velocity equations have been obtained for...

Fundamentals of Seismic Wave Propagation