In this work we deduce an explicit Sommerfeld-type radiation condition able to prove uniqueness for the problem of outgoing wave propagation in isotropic elastic half-spaces with free boundary condition. The expression is obtained by a rigorous asymptotic analysis of the Green’s function associated with this problem. Observe that this is an exterior problem with unbounded frontier. The main dif...

An infinite row of periodically spaced, identical rigid circular cylinders is excited by an acoustic line source, which is parallel to the generators of the cylinders. A method for calculating the scattered field accurately and efficiently is presented. When the cylinders are sufficiently close together, Rayleigh–Bloch surface waves, which propagate energy to infinity along the array are excite...

Abstract. The Benjamin-Feir instability describes the instability of a uniform oscillatory wave train in an irrotational flow subject to small perturbation of wave number, amplitude and frequency. Their instability analysis is based on the perturbation around the second order Stokes wave which satisfies the dynamic and kinematic free-surface boundary conditions up to the second order. In the sa...

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...

The present paper is dealing with the propagation of Rayleigh surface waves in a homogeneous transversely isotropic medium .This thermo-dynamical analysis is carried out in the context of three-phase-lags thermoelasticity model. Three phase lag model is very much useful in the problems of nuclear boiling, exothermic catalytic reactions, phonon-electron interactions, phonon scattering etc. The n...

It is shown that the dispersive Rayleigh wave propagating around a concave cylindrical surface is substantially less attenuated by fluid loading than the corresponding wave on a flat surface. First, the analytical solution for vertically polarized shear wave scattering from a fluid-filled cylindrical cavity is formulated in the time domain, then the signal of interest is gated out and spectrum ...

1. Abstract In order to predict strong earthquake ground motion, it is inevitable to construct a relevant subsurface structure model, especially S-wave velocity structure of the site of consideration. Inversion analysis with micro-tremor observation is frequently used to acquire S-wave velocity structure due to its convenience and inexpensiveness. Usually inversion analysis is carried out for e...

12 [1] We perform ambient noise tomography of China using data from the China National Seismic Network 13 and surrounding global and regional stations. For most of the station pairs, we retrieve good Rayleigh 14 waveforms from ambient noise correlations using 18 months of continuous data at all distance ranges 15 across the entire region (over 5000 km) and for periods from 70 s down to about 8 ...

In this paper, a review of the methodology for the computation of transmission and reflection coefficients for the surface waves, propagated through a vertical contact, will be presented and discussed. The surface-wave transmission and reflection coefficients will be obtained using a simple method. This method will be very briefly described and compared with a more sophisticate method, obtainin...