Low-frequency layer-induced dispersion in a weak-contrast vertically heterogeneous orthorhombic medium
Y. Roganov, A. Stovas and V. Roganov
Journal name: Geophysical Prospecting
Issue: Vol 67, No 9, November 2019 pp. 2269 - 2279
Info: Article, PDF ( 2.19Mb )
In this paper, we consider wave propagation in a periodically layered medium with orthorhombic symmetry. The weak-contrast approximation is utilized to derive the low-frequency dispersion in effective properties for P, S1 and S2 waves. We show that the dispersion term for all effective properties is controlled by the second-order contrasts in elastic properties from the layers.We also compute the sensitivity matrices for second- and fourth-order coefficients from eigenvalues of frequency-dependent system matrix associated with kinematic parameters for individual wave modes.