Abstract The density of a radially inhomogeneous unbounded space is derived as function form. Harmonic dynamics stress the medium with circular cavity investigated by complex variable method. governing equation under incident SH waves in expressed Helmholtz coefficient. It equivalently transformed into standard conformal transformation Then, fields can be proposed. results indicate that changes...

A problem of reflection and transmission of a plane shear wave incident at a corrugated interface between transversely isotropic inhomogeneous and visco-elastic half-spaces is investigated. Applying appropriate boundary conditions and using Rayleigh’s method of approximation expressions for reflection and transmission coefficients are obtained for the first and second order approximation of the...

A “spectral gap mapping theorem”, which characterizes exponential dichotomy, is proven for a general class of semilinear hyperbolic systems of PDEs in a Banach space X of continuous functions. This resolves a key problem on existence and smoothness of invariant manifolds for semilinear hyperbolic systems. The system is of the following form: For 0 < x < l and t > 0 (SH)  ∂ ∂t u(t, x...

Paper presents the generation and implementation of various types of earthquake sources in a 2D finite difference grid. The procedure used for computing dislocations on the fault plane is identical to both well known kinematic and dynamic models, since it was calculated by solving the equation of motion taking into account the stress drop and the shear strength of the fault. This scheme is supe...

It is important for interpretation of the seismic responses of a sedimentary basin to distinguish S and surface waves on strong-motion seismograms. A vertical array analysis method that decomposes S and surface waves from a set of surface and borehole seismic records (horizontal components) is proposed. Each of horizontal components of the array records assumed to consist of S wave and only one...

In this paper the methods for representation theorem coupling of finite-element or finite difference calculations and propagator matrix method calculations (Harkrider) are developed. The validity and accuracy of the resulting hybrid method are demonstrated. The resulting hybrid technique can be used to study the propagation of any phase that can be represented in terms of an SH mode sum seismog...

The surface acoustic waves-based (SAW) sensors and the quartz crystal microbalance (QCM) are widely employed for the ultrasensitive surface mass detection in volatile organic compounds and air quality control measurements. In ‘wet’’ conditions, the linear relation (Sauerbrey) between the rigidly attached small amount of deposited mass (the principle of a quartz microbalance) can be violated in ...

Abstract. In this paper, a two-parameter discrete Gaussian beam summation is described and then applied to SH seismic waves in a layer over a half space. For this case the exact solution for the wide-angle reflection and head wave is known by the summation of plane waves or from the modified-Cagniard method. Using Gaussian beam summations over a single angle parameter, the wide-angle reflection...

This paper reviews recent work, much of it unpub~shed, on the effects of anisotropy on seismic waves, and lays the theoretical background for some of the other papers in this number of the Geophysical Journal. The propagation of both body and surface waves in anisotropic media is fundamentally different from their propagation in isotropic media, although the differences in behaviour may be comp...

The seismic moment and source orientation of the 8 November 1980 Eureka, California, earthquake (Ms = 7.2) are determined using long-period surface and body wave data obtained from the SRO, ASRO, and IDA networks. The favorable azimuthal distr ibution of the recording stations allows a well-constrained mechanism to be determined by a simultaneous moment tensor inversion of the Love and Rayleigh...