On the dispersion equation of Love waves in a porous layer

1986 ◽  
Vol 58 (3-4) ◽  
pp. 125-136 ◽  
Author(s):  
A. Chattopadhyay ◽  
M. Chakraborty ◽  
V. Kushwaha
Keyword(s):  
Dispersion Equation ◽  
Porous Layer ◽  
Love Waves

The effect of boundaries on wave propagation in a liquid-filled porous solid: IX. Love waves in a porous internal stratum

1965 ◽  
Vol 55 (5) ◽  
pp. 919-923
Author(s):  
H. Deresiewicz
Keyword(s):  
Wave Propagation ◽  
Phase Velocity ◽  
Dispersion Equation ◽  
Porous Layer ◽  
Shear Waves ◽  
Love Waves ◽  
Porous Solid ◽  
Transverse Waves ◽  
Phase Velocities ◽  
Impermeable Layer

abstract The dispersion equation in the second approximation for small porosity is deduced for the problem of transverse waves in a porous layer separating two impermeable elastic half-spaces, and the expression for the dissipation per cycle displayed. It is shown that Love waves can be propagated in a porous layer only with phase velocities smaller than that of body shear waves in either of the half-spaces, whereas in an impermeable layer Love waves may exist having phase velocity equal to that of body shear waves in one of the half-spaces.

The effect of boundaries on wave propagation in a liquid-filled porous solid: II. Love waves in a porous layer

1961 ◽  
Vol 51 (1) ◽  
pp. 51-59
Author(s):  
H. Deresiewicz
Keyword(s):  
Wave Propagation ◽  
Phase Velocity ◽  
Viscous Liquid ◽  
Porous Layer ◽  
Unit Volume ◽  
Transcendental Equation ◽  
Love Waves ◽  
Wave Number ◽  
Velocity Of Propagation ◽  
Approximate Scheme

Abstract The transcendental equation is derived relating frequency and phase velocity of propagation of Love waves in a porous layer containing a viscous liquid. This equation, being complex, can be satisfied only if the wave number of the motion is complex, indicating that the disturbance is dissipative. The general expression being intractable analytically, an approximate scheme is employed to determine the phase velocity and measure of dissipation valid for porous materials in which the mass (per unit volume of aggregate) of the interstitial liquid is smaller than that of the solid.

Love waves and primary stress

1975 ◽  
Vol 65 (5) ◽  
pp. 1481-1486
Author(s):  
A. J. Willson
Keyword(s):  
Dispersion Equation ◽  
Half Space ◽  
Nonlinear Elasticity ◽  
Love Waves ◽  
Primary Stress ◽  
Combined Action

Abstract The influence of primary stress upon the propagation of Love waves in a welded layer and half-space is examined by means of the theory of nonlinear elasticity. It is shown that the dispersion equation for this case can be cast into the form appropriate in the absence of stress, provided certain rescaling substitutions are employed. The possibility that additional instabilities are introduced through the combined action of primary stress and surface and interfacial continuity requirements is discounted.

Propagation of Love waves in a fluid-saturated porous layer lying beteen two elastic half-spaces

1964 ◽  
Vol 54 (6A) ◽  
pp. 1767-1770
Author(s):  
M. K. Paul
Keyword(s):  
Porous Layer ◽  
Intermediate Layer ◽  
Love Wave ◽  
Love Waves ◽  
Saturated Porous Layer

abstract Propagation of Love waves in a fluid saturated porous layer lying between two elastic half-spaces has been considered in this note. It has been found that in the case of small porosity factor, the wavelength of the Love wave propagated in a fluid saturated porous layer increases or decreases in comparison with the case of elastic intermediate layer according as the density of the solid is greater or less than that of the fluid filling the pores.

scholarly journals Love Waves in a Pre-Stressed Fiber-Reinforced Medium Rest upon a Monoclinic Half-Space

2020 ◽  
Vol 9 (3) ◽  
pp. 1680-1685
Keyword(s):  
Dispersion Equation ◽  
Compressive Stress ◽  
Half Space ◽  
Anisotropy Parameter ◽  
Dispersion Curves ◽  
Love Waves ◽  
Initial Stresses ◽  
Tabular Form ◽  
Fiber Reinforced ◽  
Waves Propagation

Love waves in a pre-stressed fiber-reinforced medium lying above a monoclinic half-space have been investigated. Upper surface of fiber reinforced layer remains stress free and interface of half space and layer satisfies continuity conditions .The dispersion equation for Love waves propagation has been derived. Effect of anisotropy parameter of half space and initial stresses of reinforced layer on Love waves propagation have been observed from dispersion curves. Some particular cases have also been developed by using the dispersion equation. Further, the range of the existence of Love waves is calculated. The cut-off periods for three nodes of Love waves with variation of anisotropy parameter and compressive stress are presented in tabular form

scholarly journals Influence of Poroelasticity of the Surface Layer on the Surface Love Wave Propagation

2018 ◽  
Vol 85 (5) ◽  
Author(s):  
Adil El Baroudi
Keyword(s):  
Wave Propagation ◽  
Surface Layer ◽  
Phase Velocity ◽  
Dispersion Equation ◽  
Love Wave ◽  
Wave Attenuation ◽  
Love Waves ◽  
Velocity Variation ◽  
Fluid Viscosity ◽  
Benchmark Solutions

This work presents a theoretical method for surface love waves in poroelastic media loaded with a viscous fluid. A complex analytic form of the dispersion equation of surface love waves has been developed using an original resolution based on pressure–displacement formulation. The obtained complex dispersion equation was separated in real and imaginary parts. mathematica software was used to solve the resulting nonlinear system of equations. The effects of surface layer porosity and fluid viscosity on the phase velocity and the wave attenuation dispersion curves are inspected. The numerical solutions show that the wave attenuation and phase velocity variation strongly depend on the fluid viscosity, surface layer porosity, and wave frequency. To validate the original theoretical resolution, the results in literature in the case of an homogeneous isotropic surface layer are used. The results of various investigations on love wave propagation can serve as benchmark solutions in design of fluid viscosity sensors, in nondestructive testing (NDT) and geophysics.

scholarly journals Love wave in porous layer under initial stress over heterogeneous elastic half-space under gravity and initial stress

2021 ◽  
Vol 60 (3) ◽  
pp. 193-210
Author(s):  
Asit Kumar Gupta ◽  
Anup Kumar Mukhopadhyay ◽  
Santimoy Kundu ◽  
Pulak Patra
Keyword(s):  
Free Boundary ◽  
Initial Stress ◽  
Half Space ◽  
Porous Layer ◽  
Elastic Half Space ◽  
Love Waves ◽  
Initial Stresses ◽  
Rigid Boundary ◽  
Free Surfaces ◽  
Phase Velocities

In the present paper, effect of initial stresses and gravity on the propagation of Love waves has been studied in porous layer surface over a heterogeneous half-space. We have considered two types of boundary on free surfaces: (a) rigid boundary and (b) traction free boundary. The propagation of Love waves has been investigated under assumed media in both the cases of boundary and discusses a comparison study of two cases. The dispersion equations and phase velocities have been obtained in both the cases. The numerical calculations have been done and presented graphically. This study of Love waves in the assumed medium reveals that the presence of initial stress in the half-space and absence of initial stress in the layer, the displacement of phase velocity in rigid boundary  is more than the traction free boundary.

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