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  • 1
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 103 (1990), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The propagation of the elastic waves in a cylindrical bore through a liquid-saturated porous solid of infinite extent is discussed. The velocity dispersion equation appropriate to the surface wave propagation in a liquid-filled porous solid containing an empty bore is derived. The surface wave which is analogous to a Rayleigh wave at a plane boundary of liquid-saturated porous solid will be dispersive. The case of a liquid-filled bore is also discussed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 105 (1991), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The problem of reflection and transmission of a plane periodic wave incident on the loosely bonded interface between an elastic solid and a liquid-filled porous solid is discussed with the assumption that the interface behaves like a dislocation which preserves the continuity of stress allowing a finite amount of slip. It is further assumed that the normal displacement is continuous and the shearing stress is proportional to the velocity of slip. Energy ratios are computed numerically for a particular model and are plotted for different degrees of bonding. The results for a welded contact and a smooth interface are obtained as particular cases. It is found that there is a dissipation of energy at a loosely bonded interface except for normal and grazing angles of incidence.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 147 (1996), S. 515-536 
    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
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 135 (1991), S. 383-400 
    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
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  • 5
    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
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  • 6
    ISSN: 1420-9136
    Keywords: Propagation ; poroelastic ; viscosity ; anelasticity, dissipation, interstitial fluid, energy, parfition ; initial stress
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Biot's theory is employed to study the reflection and transmission ofSH waves in a sandy layer lying over a fluid-saturated porous solid half-space. The entire medium is considered under constant initial stress. Effects of sandiness, initial stress, anelasticity and viscosity of the interstitial fluid on the partitioning of energy are studied. In the presence of initial stress the incident wave starts attenuating when incider beyond a certain angle (depending upon the amount of initial stress), even if the medium is perfectly clastic. Anelasticity of the solid layer results in the dissipation of energy during transmission. The direction of attenuation vector of incident wave affects the dissipation energy to a large extent. Effect on partitioning of energy reverse at incidence after the critical angle. A complete account of energy returmed back to the underlying half-space and that which is dissipated in the overlying layer has been discussed analytically as well as numerically.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 138 (1992), S. 249-266 
    ISSN: 1420-9136
    Keywords: Poroelastic ; viscous liquid ; dissipative ; frequency viscosity ; Poiseuille flow ; Bessel-Kelvin functions ; porosity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract A general solution of Biot's field equations governing small motions of a porous solid saturated by viscous liquid is employed to study the reflection and refraction at the interface between an elastic solid and a liquid-saturated porous solid. The incident wave is assumed to be plane and homogeneous, propagating through the isotropic elastic solid. The poroelastic solid is considered to be a dissipative one. Amplitude and energy ratios are computed numerically for a particular model. With first-order corrections for the porosity of solid and viscosity of liquid, the limiting cases of low and high frequencies are computed.
    Type of Medium: Electronic Resource
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