Effect of undulation on SH-wave propagation in corrugated magneto-elastic transversely isotropic layer

2016 ◽  
Vol 24 (3) ◽  
pp. 200-211 ◽  
Author(s):  
Abhishek Kumar Singh ◽  
Kshitish Ch. Mistri ◽  
Tanupreet Kaur ◽  
A. Chattopadhyay
Keyword(s):  
Wave Propagation ◽  
Transversely Isotropic ◽  
Isotropic Layer ◽  
Sh Wave ◽  
Transversely Isotropic Layer

scholarly journals The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110414
Author(s):  
Fatimah Salem Bayones ◽  
Nahed Sayed Hussein ◽  
Abdelmooty Mohamed Abd-Alla ◽  
Amnah Mohamed Alharbi
Keyword(s):  
Wave Propagation ◽  
Dispersion Relation ◽  
Dispersion Equation ◽  
Initial Stress ◽  
Transversely Isotropic ◽  
Wave Number ◽  
Isotropic Layer ◽  
Rigid Foundation ◽  
Type Wave ◽  
Transversely Isotropic Layer

Introduction: In this paper, a mathematical model of Love-type wave propagation in a heterogeneous transversely isotropic elastic layer subjected to initial stress and rotation of the resting on a rigid foundation. Frequency equation of Love-type wave is obtained in closed form. The material constants and initial stress have been taken as space dependent and arbitrary functions of depth in the respective media. Objectives: The dispersion equation is determined to study the effect of different types of parameters such as inhomogeneity, initial stress, rotation, wave number, the phase velocity on the Love-type wave propagation. Methods: The analytical solution has been obtained, we have used the separation of variables, method and the numerical solution using the bisection method implemented in MATLAB. Results: We present a general dispersion relation to describe the impacts as the propagation of Love-type waves in the structures. Numerical results analyzing the dispersion equation are discussed and presented graphically. Moreover, the obtained dispersion relation is found in well agreement with the classical case in isotropic and transversely isotropic layer resting on a rigid foundation. Finally, some graphical presentations have been made to assess the effects of various parameters in the plane wave propagation in elastic media of different nature.

Effect of anisotropy on Love wave propagation

1968 ◽  
Vol 58 (1) ◽  
pp. 259-266
Author(s):  
Janardan G. Negi ◽  
S. K. Upadhyay
Keyword(s):  
Wave Propagation ◽  
Frequency Dependence ◽  
Characteristic Frequency ◽  
Love Wave ◽  
Transversely Isotropic ◽  
Frequency Equation ◽  
Isotropic Case ◽  
Rigid Base ◽  
Isotropic Layer ◽  
Transversely Isotropic Layer

abstract A study on Love wave propagation in a transversely isotropic layer with stress free upper surface and underlying rigid base, is presented. The characteristic frequency equation is obtained and frequency dependence of the velocity parameters for different modes is analysed in detail. Several distinctive propagation phenomena which differ considerably from those in isotropic case are listed below:

scholarly journals Study of Axi-Symmetric Vibrations in a Micropolar Transversely Isotropic Layer

2019 ◽  
Vol 24 (2) ◽  
pp. 259-268
Author(s):  
R.R. Gupta ◽  
R.R. Gupta
Keyword(s):  
Wave Propagation ◽  
Isotropic Medium ◽  
Lamb Waves ◽  
Transversely Isotropic ◽  
Isotropic Layer ◽  
Transversely Isotropic Medium ◽  
Symmetric Wave ◽  
Special Cases ◽  
Secular Equations ◽  
Transversely Isotropic Layer

Abstract The present investigation deals with the propagation of circular crested Lamb waves in a homogeneous micropolar transversely isotropic medium. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and microrotation are computed numerically for magnesium as a material and the dispersion curves, amplitudes of displacements and microrotation for symmetric and skew-symmetric wave modes are presented graphically to evince the effect of anisotropy. Some special cases of interest are also deduced.

The effect of transverse isotropy on isotropic traveltime inversion of vertical seismic profile data—A modeling study

Geophysics ◽  
1990 ◽  
Vol 55 (9) ◽  
pp. 1235-1241 ◽  
Author(s):  
Jan Douma
Keyword(s):  
Transverse Isotropy ◽  
Transversely Isotropic ◽  
Anisotropic Media ◽  
Vertical Axis ◽  
Seismic Profile ◽  
Isotropic Layer ◽  
Low Velocity ◽  
Traveltime Inversion ◽  
Axis Of Symmetry ◽  
Transversely Isotropic Layer

Traveltime inversion of multioffset VSP data can be used to determine the depths of the interfaces in layered media. Many inversion schemes, however, assume isotropy and consequently may introduce erroneous structures for anisotropic media. Synthetic traveltime data are computed for layered anisotropic media and inverted assuming isotropic layers. Only the interfaces between these layers are inverted. For a medium consisting of a horizontal isotropic low‐velocity layer on top of a transversely isotropic layer with a horizontal axis of symmetry (e.g., anisotropy due to aligned vertical cracks), 2-D isotropic inversion results in an anticline. For a given axis of symmetry the form of this anticline depends on the azimuth of the source‐borehole direction. The inversion result is a syncline (in 3-D a “bowl” structure), regardless of the azimuth of the source‐borehole direction for a vertical axis of symmetry of the transversely isotropic layer (e.g., anisotropy due to horizontal bedding).

Sign in / Sign up

Export Citation Format

Share Document