A note on Rayleigh wave velocity in saturated soils with compressible constituents

2001 ◽  
Vol 38 (6) ◽  
pp. 1360-1365 ◽  
Author(s):  
Jun Yang
Keyword(s):  
Rayleigh Wave ◽  
Wave Velocity ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Theory Of Elasticity ◽  
Saturated Soil ◽  
Saturated Soils ◽  
Engineering Practice ◽  
Soil Medium ◽  
Rayleigh Wave Velocity

The problem of Rayleigh waves in a semi-infinite saturated soil medium is reconsidered in this study, with the purpose of clarifying existing confusion and limitations of available studies. By employing Biot's general formulation, which takes into account not only the compressibility of the solid and fluid constituents but also the viscous dissipation due to fluid flow, the secular equation for Rayleigh waves is rigorously derived and the velocity of Rayleigh waves is computed for several typical types of saturated soils. The results show that the velocity of Rayleigh waves in general is independent of frequency in the frequency range actually employed in engineering practice and is only slightly less than the shear wave velocity. The results confirm that current understanding of Rayleigh wave velocity achieved based on the classical theory of elasticity is acceptable and indicate that some results in the literature are incorrect.Key words: Rayleigh wave velocity, saturated soil, porous media, wave propagation, analytical method.

Propagation of Rayleigh Waves in Magneto-Elastic Media

1992 ◽  
Vol 59 (4) ◽  
pp. 812-818 ◽  
Author(s):  
Jong S. Lee ◽  
Elizabeth N. Its
Keyword(s):  
Magnetic Fields ◽  
Rayleigh Wave ◽  
Wave Velocity ◽  
Magnetic Permeability ◽  
Rayleigh Waves ◽  
Elastic Half Space ◽  
Elastic Materials ◽  
Elastic Parameters ◽  
Rayleigh Wave Velocity ◽  
Nondestructive Measurements

Propagation of Rayleigh waves in a perfectly conducting elastic half-space in the presence of magnetic fields is considered for a possible application in nondestructive measurements of mechanical and/or electromagnetic parameters in electromagnetic materials. In particular, the dependence of Rayleigh wave velocity on magnetic and elastic parameters of the conducting medium in tangentially and normally oriented primary magnetic fields is investigated. Numerical results for three elastic materials with different elastic parameters are presented for a range of magnetic permeability. It is shown that the effect of magnetic fields render the medium essentially anisotropic and that the magnetic permeability of the medium and the orientation of the primary magnetic field strongly affect the Rayleigh wave velocity field.

scholarly journals Improved approximations for the Rayleigh wave velocity in [-1, 0.5]

2008 ◽  
Vol 30 (4) ◽  
Author(s):  
Pham Chi Vinh ◽  
Peter G. Malischewsky
Keyword(s):  
Rayleigh Wave ◽  
Least Squares ◽  
Wave Velocity ◽  
Secular Equation ◽  
High Accuracy ◽  
Method Of Least Squares ◽  
Rayleigh Wave Velocity ◽  
Maximum Percentage ◽  
Order Polynomial ◽  
Very High

In the present paper we derive improved approximations for the Rayleigh wave velocity in the interval \(\nu  \in \) [−1, 0.5] using the method of least squares. In particular: (i) We create approximate polynomials of order 4, 5, 6 whose maximum percentage errors are 0.035 %, 0.015 %, 0.0083 %, respectively. (2i) Improved approximations in the form of the inverse of polynomials of order 3, 5 are also established. They are approximations with very high accuracy. (3i) By using the best approximate second-order polynomial of the cubic power in the space \(C\)[0.474572, 0.912622], we derive an approximation that is the best, so far, of the approximations obtained by approximating the secular equation.

Deep structure of the Iberian Peninsula determined by Rayleigh wave velocity inversion

1992 ◽  
Vol 108 (1) ◽  
pp. 71-88 ◽  
Author(s):  
J. Badal ◽  
V. Corchete ◽  
G. Payo ◽  
F. J. Serón ◽  
J. A. Canas ◽  
...  
Keyword(s):  
Rayleigh Wave ◽  
Iberian Peninsula ◽  
Wave Velocity ◽  
Deep Structure ◽  
Velocity Inversion ◽  
Rayleigh Wave Velocity

Rayleigh wave propagation at the boundary surface of dry sandy ($SiO_2$) thermoelastic solids

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Shishir Gupta ◽  
Rishi Dwivedi ◽  
Smita Smita ◽  
Rachaita Dutta
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Rayleigh Wave ◽  
Penetration Depth ◽  
Dispersion Equation ◽  
Half Space ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Rayleigh Surface Wave ◽  
Content Type

Purpose The purpose of study to this article is to analyze the Rayleigh wave propagation in an isotropic dry sandy thermoelastic half-space. Various wave characteristics, i.e wave velocity, penetration depth and temperature have been derived and represented graphically. The generalized secular equation and classical dispersion equation of Rayleigh wave is obtained in a compact form. Design/methodology/approach The present article deals with the propagation of Rayleigh surface wave in a homogeneous, dry sandy thermoelastic half-space. The dispersion equation for the proposed model is derived in closed form and computed analytically. The velocity of Rayleigh surface wave is discussed through graphs. Phase velocity and penetration depth of generated quasi P, quasi SH wave, and thermal mode wave is computed mathematically and analyzed graphically. To illustrate the analytical developments, some particular cases are deliberated, which agrees with the classical equation of Rayleigh waves. Findings The dispersion equation of Rayleigh waves in the presence of thermal conductivity for a dry sandy thermoelastic medium has been derived. The dry sandiness parameter plays an effective role in thermoelastic media, especially with respect to the reference temperature for η = 0.6,0.8,1. The significant difference in η changes a lot in thermal parameters that are obvious from graphs. The penetration depth and phase velocity for generated quasi-wave is deduced due to the propagation of Rayleigh wave. The generalized secular equation and classical dispersion equation of Rayleigh wave is obtained in a compact form. Originality/value Rayleigh surface wave propagation in dry sandy thermoelastic medium has not been attempted so far. In the present investigation, the propagation of Rayleigh waves in dry sandy thermoelastic half-space has been considered. This study will find its applications in the design of surface acoustic wave devices, earthquake engineering structural mechanics and damages in the characterization of materials.

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