Propagation of torsional wave in a non-homogeneous crustal layer over a dry sandy mantle

Kundu, Santimoy; Saha, Anup; Gupta, Shishir; Manna, Santanu

doi:10.1007/s11012-015-0176-2

Cited by 8 publications

(4 citation statements)

References 27 publications

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“…Recently, some research articles on the propagation of surface wave in dry sandy medium have been studied by Kundu et al. [12], Pal & Ghorai [13] and Dey et al. [14].…”

Section: Introductionmentioning

confidence: 99%

“…The value of Young's modulus E when compared with modulus of rigidity μ 2 is much greater in sandy medium than a solid material. Recently, some research articles on the propagation of surface wave in dry sandy medium have been studied by Kundu et al [12], Pal & Ghorai [13] and Dey et al [14]. Generally, the interfaces between two layers of the Earth's interior structure can neither be perfectly flat nor in a regular shape to a certain extent.…”

Section: Introductionmentioning

confidence: 99%

“…12 , Γ 22 , T 12 , T 22 , T 32 and T 42 are given in appendix A. Equations (4.3) and (4.4) are the dispersion and absorption equations for the propagation of SH-waves in an elastic medium with void pores bounded by upper corrugated boundary surface and lower planar boundary surface sandwiched between two dissimilar half-spaces.…”

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confidence: 99%

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

2017

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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.

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“…Recently, some research articles on the propagation of surface wave in dry sandy medium have been studied by Kundu et al. [12], Pal & Ghorai [13] and Dey et al. [14].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2017

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“…They have observed that the velocity of the surface wave increases with the increasing magnitude of inhomogeneity. In addition to that, many studies have been conducted over various types of variation on the propagation of wave through heterogeneous media (Abd-Alla et al, 2011;Wei et al, 1998;Kakar, 2015b;Wang et al, 2017;Srivastava et al, 2019;Kundu et al 2015;Anderson, 1962).…”

Section: Introductionmentioning

confidence: 99%

Study of Love-type wave vibrations in double sandy layers on half-space of viscoelastic

Kumhar¹,

Kundu²,

Maity³

et al. 2019

MMMS

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Purpose The purpose of this paper is to examine the dependency of dispersion and damping behavior of Love-type waves on wave number in a heterogeneous dry sandy double layer of finite thickness superimposed on heterogeneous viscoelastic substrate under the influence of hydrostatic initial stress. Design/methodology/approach The mechanical properties of the material of both the dry sandy layers vary with respect to a certain depth as quadratic and hyperbolic function, while it varies as an exponential function for the viscoelastic semi-infinite medium. The method of the separation of variables is employed to obtain the complex frequency equation. Findings The complex frequency equation is separated into real and imaginary components corresponding to dispersion and damping equation. After that, the obtained result coincides with the pre-established classical equation of Love wave, as shown in Section 5. The response of all mechanical parameters such as heterogeneities, sandiness, hydrostatic stress, thickness ratio, attenuation and viscoelasticity on both the phase and damped velocity against real wave number has been discussed with the help of numerical example and graphical demonstrations. Originality/value In this work, a comparative study clarifies that the Love wave propagates with higher speed in an isotropic elastic structure as compared to the proposed model. This study may find its applications in the investigation of mechanical behavior and deformation of the sedimentary rock.

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Case Wise Study of Heterogeneity on the Traversal Characteristics of Torsional Surface Waves

Kumari

Kundu

2020

Mathematical Modelling and Scientific Computing With Applications

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Propagation of torsional wave in a non-homogeneous crustal layer over a dry sandy mantle

Cited by 8 publications

References 27 publications

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

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

Study of Love-type wave vibrations in double sandy layers on half-space of viscoelastic

Case Wise Study of Heterogeneity on the Traversal Characteristics of Torsional Surface Waves

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