Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

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.

Love waves in a layer with void pores over a microstructural couple stress substrate with corrugated boundary surfaces

“…11a, b. Behaviour of phase velocity for corrugation parameter for cases 1 and 2 is in agreement with the results presented by [30].…”

“…Thus, uneven interfacial surfaces between distinct layers must be taken into account to replicate earth's interior in a mathematical formulation of a problem concerned with seismic waves [28,29] and these uneven interfaces can be rectangular, parabolic or corrugated in nature. In one such study, Pandit et al [30] discussed SH wave propagation in a sinusoidal corrugated elastic layer with void pores which is sandwiched between two dissimilar half spaces. They presented the impacts of various parameters such as corrugated boundary surfaces and sandiness parameter on the dispersion of SH waves.…”

“…The dispersion of waves depends on the specific material, through which they propagate, the interfacial conditions between layers of different types of materials and upon various length scale parameters defining the properties of the materials. Love waves are studied [7] in a layered medium consisting surface layer described using couple stress theory [16] lying over classical linear elastic half space, and a separate literature is available related to the study of SH waves in a sinusoidal corrugated elastic layer with void pores bounded by two half spaces [30]. To the best of author's knowledge, no results are available in the literature related to the study of Love waves in a sinusoidal corrugated elastic layer with void pores attached to a microstructural half space.…”

Assessment of dynamic material properties of intact rocks using seismic wave attenuation: an experimental study

“…Various techniques are currently being used, and attenuation of seismic waves is a non-destructive technique [ 14 ] that can be used to investigate the mechanical properties of reservoir rocks as well as other substances [ 15 ]. Biwa [ 14 ] has studied the attenuation of waves in fibre-reinforced viscoelastic composites and found that when the wavelength is larger than the fibre radius, the attenuation coefficient is small compared with the viscoelastic matrix.…”

“…Moreover, Pandit et al . [ 15 ] have characterized the wave attenuation in an elastic medium with voids and concluded that in elastic mediums with voids more than one wavefront might exist. Seismic waves can be used to investigate the mechanical properties of the reservoir rock as well as to identify the optimal drilling locations [ 16 , 17 ].…”