Surface Waves in Coated Anisotropic Medium Loaded With Viscous Liquid

1999 ◽  
Vol 67 (2) ◽  
pp. 262-266 ◽  
Author(s):  
T.-T. Wu ◽  
T. Y. Wu
Keyword(s):  
Surface Waves ◽  
Viscous Liquid ◽  
Half Space ◽  
Layered Medium ◽  
Wave Dispersion ◽  
Surface Wave Propagation ◽  
Acoustic Wave Sensor ◽  
Dispersion And Attenuation ◽  
Love Wave Dispersion ◽  
Layered Half Space

The development of micro-acoustic wave sensor in biosensing created the need for further investigations of the surface wave propagation in a viscous liquid loaded layered medium. In this paper, we employed the sextic formalism of surface waves to study the viscous effect on the dispersion and attenuation characteristics of surface waves in a viscous liquid loaded layered medium. The dispersion relation for the viscous liquid loaded single-layered anisotropic half-space is given. Numerical examples of the Rayleigh wave and Love wave dispersion for the cases of a Cu/Fe layered half-space (isotropic) and of a SiO2/Si layered half-space (anisotropic) loaded with viscous liquid are calculated and discussed. [S0021-8936(00)01902-4]

On the Viscous Models for Wave Propagation in Solid Loaded with Viscous Liquid

1999 ◽  
Vol 15 (3) ◽  
pp. 103-108
Author(s):  
M.-P. Chang ◽  
T.T. Wu
Keyword(s):  
Wave Propagation ◽  
Viscous Liquid ◽  
Wave Equations ◽  
Layered Medium ◽  
Viscous Liquids ◽  
Surface Wave Propagation ◽  
Stress Components ◽  
Viscous Models ◽  
Dispersion And Attenuation ◽  
Elastic Coefficients

AbstractRecently, in the fields of biosensing and nondestructive of materials, there are increasing interests on the investigations of the surface wave propagation in fluid loaded layered medium. Several different models for the elastic coefficients of viscous liquids are usually adopted in the investigations. The purpose of this paper is to study the variations of choosing different viscous liquid models on the dispersion and attenuation of waves in liquid loaded solids. In the paper, a derivation of the elastic coefficients of a viscous liquid based on the Stokes' assumption is given first. Then, for the hypothetical solid assumption of a viscous liquid, the associated wave equations and expressions of the stress components for different viscous liquid models utilized in the literatures are given. Finally, dispersion and attenuation of waves in a viscous liquid loaded A1 half space and a SiC plate immersed in a viscous liquid are calculated and utilized to discuss the differences among these four different models.

NUMERICAL SOLUTIONS FOR LOVE WAVE DISPERSION ON A HALF‐SPACE WITH DOUBLE SURFACE LAYER

Geophysics ◽  
1959 ◽  
Vol 24 (1) ◽  
pp. 12-29 ◽  
Author(s):  
James Dorman
Keyword(s):  
Surface Layer ◽  
Half Space ◽  
Crustal Structure ◽  
Love Wave ◽  
Numerical Solutions ◽  
Wave Dispersion ◽  
Columbia University ◽  
Period Equation ◽  
Double Surface ◽  
Love Wave Dispersion

The IBM 650 computer of the Watson Scientific Computing Laboratory, Columbia University, was programmed to obtain numerical solutions for the period equation for Love waves on a half‐space with a double surface layer. Solutions including higher modes for seven models of the continental crust‐mantle system are presented. This group of related cases shows that certain properties of the solutions are diagnostic of crustal structure. These relationships are illustrated graphically.

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