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  • Rayleigh waves  (1)
  • Surface waves  (1)
  • Viscoelastic porous solid  (1)
  • frequency equation  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Rayleigh wave dispersion equation for a layered spherical earth with exponential function solutions in each shell (1996)
    Springer
    Pure and applied geophysics 147 (1996), S. 515-536 
    Details
    ISSN: 1420-9136
    Keywords: Spherical earth ; heterogeneous shells ; Rayleigh waves ; dispersion equation ; decoupling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract We consider the second-order differential equations ofP-SV motion in an isotropic elastic medium with spherical coordinates. We assume that in the medium Lamé's parameters λ, μ ∞r p and compressional and shear-wave velocities α, β ∞r, wherer is radial distance. With this regular heterogeneity both the radial functions appearing in displacement components satisfy a fourth-order differential equation which provides solutions in terms of exponential functions. We then consider a layered spherical earth in which each layer has heterogeneity as specified above. The dispersion equation of the Rayleigh wave is obtained using the Thomson-Haskel method. Due to exponential function solutions in each layer, the dispersion equation has similar simplicity, as in a flat-layered earth. The dispersion equation is further simplified, whenp=−2. We obtain numerical results which agree with results obtained by other methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00878842
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  • 2
    Electronic Resource
    Electronic Resource
    Surface wave propagation in a transversely isotropic elastic layer overlying a liquid saturated porous solid half-space and lying under the uniform layer of liquid (1990)
    Springer
    Pure and applied geophysics 133 (1990), S. 523-539 
    Details
    ISSN: 1420-9136
    Keywords: Surface waves ; transversely isotropic ; liquid saturated porous solid ; dispersion ; Rayleigh type waves ; nondissipative porous media ; frequency equation ; phase velocity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Dispersion of Rayleigh-type surface wave is studied in a homogeneous transversely isotropic elastic layer overlying a nondissipative liquid-saturated porous solid half-space and lying under a uniform layer of homogeneous liquid. The frequency equation in the form of ninth-order determinant is obtained. Special cases have been deduced by reducing the depth of the layers to zero and by changing the transverse isotropic layer to an isotropic layer. Dispersion curves for the phase velocity have been plotted for a particular model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00878003
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  • 3
    Electronic Resource
    Electronic Resource
    Seismic wave propagation in a viscoelastic porous solid saturated by viscous liquid (1991)
    Springer
    Pure and applied geophysics 135 (1991), S. 383-400 
    Details
    ISSN: 1420-9136
    Keywords: Viscoelastic porous solid ; dissipative ; frequency ; reflection coefficients ; attenuation ; saturated ; viscous ; Poiseuille
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract A general solution is deduced of the differential equations describing the propagation of elastic waves in a dissipative liquid-filled viscoelastic porous solid. The velocities of three existing waves have been expressed in convenient form using the moduli of the solid phase and by introducing the frequency-dependent equivalent mass densities. The solution is then used to examine some of the phenomena which arise when each of the three-body waves, in turn, are incident on a traction-free plane boundary. Analytic expressions for the reflection coefficients are obtained. Numerical calculations have been made, for a particular model, in case of incidentP I wave. Effect of viscoelasticity and viscosity on the reflection coefficients has also been exhibited.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00879471
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