The Born approximation in the problem of elastic wave scattering by a spherical inhomogeneity in

Gurevich, Boris; Sadovnichaja, Ada P.
September 1992
Applied Physics Letters;9/14/1992, Vol. 61 Issue 11, p1275
Academic Journal
Applies the Born approximation to the problem of elastic wave scattering by a spherical inhomogeneity in a fluid-saturated porous medium. Use of the low-frequency version of the Biot's theory; Dependence of the results on the ratio of slow compressional wave wavelength to size inhomogeneity; Calculation of the compressional wave attenuation.


Related Articles

  • Effective constants for wave propagation through partially saturated porous media. Berryman, James G.; Thigpen, Lewis // Applied Physics Letters;4/15/1985, Vol. 46 Issue 8, p722 

    The multipole scattering coefficients for elastic wave scattering from a spherical inhomogeneity in a fluid-saturated porous medium have been calculated. These coefficients may be used to obtain estimates of the effective macroscopic constants for long-wavelength propagation of elastic waves...

  • Propagation of Longitudinal Elastic Waves in a Fluid-Saturated Porous Medium with Spherical Inclusions. Markov, M. G. // Acoustical Physics;Dec2005 Supplement, Vol. 51, pS115 

    The Frenkel–Biot theory is used to study the propagation of a longitudinal harmonic wave of the first kind in an isotropic porous matrix with inclusions contrasting in elastic properties and hydrodynamic permeability. The generation of elastic waves of the second kind at the boundaries of...

  • Elastic wave attenuation in rocks containing fluids. Berryman, James G. // Applied Physics Letters;9/8/1986, Vol. 49 Issue 10, p552 

    The low-frequency limit of Biot’s theory of fluid-saturated porous media predicts that the coefficients for viscous attenuation of shear waves and of the fast compressional wave are proportional to the fluid permeability. Although the observed attenuation is generally in qualitative...

  • Scattering by a spherical inhomogeneity in a fluid-saturated porous medium. Berryman, James G. // Journal of Mathematical Physics;Jun85, Vol. 26 Issue 6, p1408 

    A fast compressional wave incident on an inhomogeneity in a fluid-saturated porous medium will produce three scattered elastic waves: a fast compressional wave, a slow compressionaI wave, and a shear wave. This problem is formulated as a multipole expansion using Biot's equations of...

  • Scattering of Elastic Waves by a Rectangular Crack in a Thick-Walled Anisotropic Solid. Boström, Anders; Grahn, Tomas; Niklasson, A. Jonas // AIP Conference Proceedings;2003, Vol. 657 Issue 1, p64 

    The scattering of elastic waves by a rectangular crack in a half-space of arbitrary anisotropy is considered. The scattering problem is formulated as a hypersingular integral equation for the crack-opening-displacement by means of the half-space Green’s tensor, which is solved by...

  • Transient Scattering of Resonance Radiation in a Two-Level System. Panteleev, A. A.; Roerich, Vl. K.; Starostin, A. N. // Journal of Experimental & Theoretical Physics;Feb2003, Vol. 96 Issue 2, p222 

    A new method is developed for the description of transfer and scattering of a time-dependent laser pulse, which is based on a hierarchy of Bogoliubov-Bom-Green-Kirkwood-Yvone (BBGKY) equations for reduced density matrices. The systems of equations are obtained for the atomic and photon density...

  • Improved Born approximation for scattering of radiation in a granular medium. Matzler, Christian // Journal of Applied Physics;6/1/1998 Part 1 of 2, Vol. 83 Issue 11, p6111 

    Looks at a study which formulated an enhanced Born approximation for the electromagnetic radiation's volume scattering and absorption, using a granular medium of small grains with large dielectric contrast. Assumption that the medium's permittivity is given by the effective-medium theory of...

  • Low field electron mobility in 6H-SiC. Dhar, Subhabrata; Ghosh, Subhasis // Journal of Applied Physics;12/1/2000, Vol. 88 Issue 11, p6519 

    Experimental and theoretical studies of temperature and doping dependencies of electron mobility in 6H-SiC are reported. Low field electron mobility has been calculated by iterative technique and compared with experimental data. The following scattering mechanisms, i.e., impurity, polar optical...

  • Small angle scattering from porous mass fractal solids. McMahon, Phillip; Snook, Ian // Journal of Chemical Physics;8/8/1996, Vol. 105 Issue 6, p2223 

    The small angle scattering of radiation or particles from many porous solids may be described in terms of fractal geometry. To date most examples have been surface fractals but a few studies have suggested that some porous solids may be mass fractals. We give a derivation of the scattering law...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics