Q-anisotropy in finely-layered media

Statistics – Computation

Scientific paper

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Computational Geophysics: Numerical Solutions (4255), Computational Geophysics: Modeling (1952, 4255), Physical Properties Of Rocks: Wave Attenuation, Computational Geophysics: Model Verification And Validation

Scientific paper

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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