Abstract
This theoretical work reports the dispersion and absorption characteristics of horizontally polarized shear wave (SH-wave) in a corrugated medium with void pores sandwiched between two dissimilar half-spaces. The dispersion and absorption equations have been derived in a closed form using the method of separation of variables. It has been established that there are two different kinds of wavefronts propagating in the proposed media. One of the wavefronts depends on the modulus of rigidity of elastic matrix of the medium and satisfies the dispersion equation of SH-waves. The second wavefront depends on the changes in volume fraction of the pores. Numerical computation of the obtained relations has been performed and the results are depicted graphically. The influence of corrugation, sandiness on the phase velocity and the damped velocity of SH-wave has been studied extensively.
Highlights
In the last few decades, the studies on propagation of shear wave (SH-wave) through isotropic media have been of outstanding attention, as it served to analyse the Earth’s interior structure
— The phase velocity of SH-waves decreases with increase in wavenumber. — The damped velocity of SH-waves increases gradually with wavenumber and thereafter attenuates in high range of wavenumber. — With the increase of sandiness parameter, the dispersion and absorption curves shift downwards
This trend shows that the phase and damped velocities of SH-waves decrease with the increase of sandiness parameter
Summary
In the last few decades, the studies on propagation of shear wave (SH-wave) through isotropic media have been of outstanding attention, as it served to analyse the Earth’s interior structure. Vishwakarma et al [10] discussed the influence of the rigid boundary on the Love wave propagation in an elastic layer with void pores It has been observed by many articles that the materials of various layers under the surface of the Earth are not always elastic or isotropic. To the best of the authors’ knowledge, there are no analytical results available in the literature for the SH-wave propagation in a sinusoidally corrugated elastic medium with void pores lying between two dissimilar half-spaces. This motivates us to examine the influence of corrugated boundary surfaces and sandiness parameter on the propagation of SH-waves in the proposed media. It is shown that there is a possibility of propagation of SH-waves in two different wavefronts, one of the wavefronts is associated with the elasticity of the medium and the other wavefront is associated with the changes in void’s volume fraction
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