A Study on Propagation of Waves in a Transversely Isotropic Poroelastic Layer Bounded between Two Viscous Liquids

Nageswaranath, C.; Syed, Ahmed Shah; Modem, Ramesh; Mangipudi, Venkata Ramanamurthy

doi:10.4236/oja.2019.91001

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…Wave propagation through porous rocks is a topic of interest in geophysics because it can reveal details about the https://www.indjst.org/ fluid content and soil composition. (1) discussed Love waves in a transversely isotropic poroelastic layer bounded between two distinct viscous fluids. (2) studied radial vibrations in a composite poroelastic cylindrical shell filled with fluids internally and externally.…”

Section: Introductionmentioning

confidence: 99%

Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

Nageswaranath¹,

Kumar²,

Elangovan³

2023

IJST

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Objectives:The present work investigates the propagation of love waves in an isotropic poroelastic layer that is bounded by an inhomogeneous orthotropic half-space and a transversely isotropic elastic half-space. The transversely isotropic poroelastic layer and elastic half-space are taken as initially stressed. Methods: Using Biot's theory, the equations of motion for poroelastic layers are derived. The dispersion equation for phase velocity has been derived analytically. Findings: The effect of initial stresses of both elastic half-space and layer is observed. Also, the dispersion equation is derived for poroelastic layer and elastic layer as particular cases. Numerical work has been carried out and results are presented graphically. Novelty: The propagation of Love waves at the boundary between two elastic substances has received a lot of attention. Present study deals with three solid structures, a layer bounded between two half-spaces.

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Section: Introductionmentioning

confidence: 99%

Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

Nageswaranath¹,

Kumar²,

Elangovan³

2023

IJST

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Initial stress and heterogeneity effects on torsional waves in dry sand half-space between reinforced half-space and poroelastic medium

Poonem

Gurijala

Ala

et al. 2021

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PurposeThe purpose of this paper is to investigate the effect of initial stress and heterogeneity on the propagation of torsional waves in dissipative medium. The problem consists of dry sand poroelastic half-space embedded between heterogeneous self-reinforced half-space and poroelastic medium. The frequency equation is derived in the framework of Biot's theory with some variants.Design/methodology/approachTorsional wave propagation in dry sand poroelastic half-space embedded between self-reinforced half-space and poroelastic medium. All the constituents here are assumed to be dissipative, heterogeneous and initial stressed.FindingsPhase velocity and attenuation are computed against wavenumber for various values of self-reinforcement parameter, inhomogeneity parameter and initial stress. Particular cases are discussed in absence of dissipation. The numerical results are presented graphically.Originality/valueInitial stress and heterogeneity effects on torsional waves in dry sand half-space between reinforced half-space and poroelastic medium are investigated. The frequency equation is derived, and which intern gives the phase velocity and attenuation coefficient for various values of initial stress, self-reinforcement parameter and heterogeneity parameter. From the numerical results, it is clear that as wavenumber varies phase velocity and attenuation are periodic in nature for all the cases. Particular cases are discussed in absence of dissipation. This kind of analysis can be extended to any elastic solid by taking magnetic, thermo and piezoelectric effects into account.

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Analysis of Longitudinal Guided Wave Propagation in a Liquid-Filled Pipe Embedded in Porous Medium

Han

et al. 2021

Applied Sciences

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To study the leakage situation of a liquid-filled pipe in long-term service, a model of a liquid-filled pipe embedded in an infinite porous medium as well as in a finite porous medium is designed. The principal motivation is to perform detailed quantitative analysis of the longitudinal guided wave propagating in a liquid-filled pipe embedded in a saturated porous medium. The problems of pipeline leakage and porosity as well as the media outside the pipe are solved to identify the characteristics of the guided wave in a more practical model. The characteristics of the guided wave are investigated theoretically and numerically, with special emphasis on the influence of porous medium parameters on the dispersion properties. Assuming the pipe is a cylindrical shell buried in an isotropic, homogeneous, and porous medium, the dispersion equations are established based on the elastic-dynamic equations and the modified Biot liquid-saturated porous theory. The characteristics of dispersion, time-domain waveform and attenuation curves varying with porous medium parameters, wrapping layer material, and thickness, are all analyzed. The increase in porosity decreases the partial mode phase velocity in the liquid-filled pipe embedded in the finite porous medium. The characteristics of attenuation are in good agreement with the dispersion curves and the time-domain waveform results.

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A Study on Propagation of Waves in a Transversely Isotropic Poroelastic Layer Bounded between Two Viscous Liquids

Cited by 3 publications

References 11 publications

Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

Initial stress and heterogeneity effects on torsional waves in dry sand half-space between reinforced half-space and poroelastic medium

Analysis of Longitudinal Guided Wave Propagation in a Liquid-Filled Pipe Embedded in Porous Medium

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