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...
متن کاملWaves in stratified viscoelastic media with microstructure
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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A study is made of the propagation of time-harmonic magneto-thermoviscoelastic plane waves in a homogeneous electrically conducting viscoelastic medium of Kelvin-Voigt type permeated by a primary uniform external magnetic field when the entire medium rotates with a uniform angular velocity. The generalized thermoelasticity theory of type II (Green and Naghdi model) is used to study the propagat...
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...
متن کاملConstitutive model and wave equations for linear, viscoelastic, anisotropic media
Rocks are far from being isotropic and elastic. Such simplifications in modeling the seismic response of real geological structures may lead to misinterpretations, or even worse, to overlooking useful information. It is useless to develop highly accurate modeling algorithms or to naively use amplitude information in inversion processes if the stress-strain relations are based on simplified rheo...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 1971
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.1971.tb01841.x