Book review: Viscoelastic Waves and Rays in Layered Media
نویسندگان
چکیده
منابع مشابه
Plane waves in anisotropic viscoelastic media
Two concepts of plane waves in anisotropic viscoelastic media are studied. One of these concepts allows for the use of methods based on the theory of complete Bernstein functions. This allows for a deeper study of frequency-domain asymptotics of the attenuation function and timedomain regularity at the wavefronts. A relation between the direction of the energy flux density and the attenuation v...
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An extension of the O'Doherty and Anstey theory [R. F. O'Doherty and N. A. Anstey, Geophys. Prosp. 19, 430458 (1971)] is derived for waves in finely layered, anisotropic, viscoelastic media. Multiple scattering effects cause the direct wave to be delayed and broadened, subject to a deterministic integrodifferential delay equation. The kernel depends upon time-domain autocorrelations of reflecti...
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We study longitudinal elastic strain waves in a one-dimensional periodically layered medium, alternating between two materials with different densities and stress-strain relations. If the impedances are different, dispersive effects are seen due to reflection at the interfaces. When the stress-strain relations are nonlinear, the combination of dispersion and nonlinearity leads to the appearance...
متن کاملOscillatory numerical experiments in finely layered anisotropic viscoelastic media
A finely layered medium behaves as a homogeneous anisotropic medium at long wavelengths. When each layer is a transversely isotropic viscoelastic (TIV) medium, attenuation anisotropy can be described by a generalization of Backus averaging to the lossy case. We introduce a method to compute the complex and frequency-dependent stiffnesses of the equivalent viscoelastic, homogeneous, transversely...
متن کاملFinite Propagation Speed of Waves in Anisotropic Viscoelastic Media
Finite propagation speed properties in mathematical elastic and viscoelastic models are fundamental in many applications where the data exhibits propagating fronts. We note particularly that this property is observed in biomechanical imaging of tissue, in particular in the supersonic imaging experiment, and also in geophysics and ocean acoustics. With these applications in mind, noting that the...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 2021
ISSN: ['1365-246X', '0956-540X']
DOI: https://doi.org/10.1093/gji/ggab030