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Q ‐anisotropy in finely‐layered media
Author(s) -
Picotti Stefano,
Carcione José M.,
Santos Juan E.,
Gei Davide
Publication year - 2010
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2009gl042046
Subject(s) - anisotropy , lossy compression , generalization , wavelength , physics , frequency domain , computational physics , mathematical analysis , wave propagation , harmonic , quality (philosophy) , geology , optics , acoustics , computer science , mathematics , quantum mechanics , artificial intelligence
Finely layered media behaves as an anisotropic medium at long wavelengths. If the constituent media are anelastic, Q ‐anisotropy of qP, qSV and SH waves can be described by a generalization of Backus averaging to the lossy case. To test the theory, we introduce a novel method to obtain the complex and frequency‐dependent stiffnesses from numerical simulations of oscillatory (harmonic) tests based on a space‐frequency domain finite element method. We apply the methodology to a periodic sequence of shale and limestone and compute the quality factor and wave velocities as a function of frequency and propagation direction.
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