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Low‐frequency wave propagation in periodically layered media
Author(s) -
Roganov Yuriy,
Stovas Alexey
Publication year - 2012
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.2011.01028.x
Subject(s) - anisotropy , series (stratigraphy) , dispersion (optics) , wave propagation , logarithm , propagator , optics , mathematical analysis , physics , geology , computational physics , mathematics , paleontology , quantum mechanics
ABSTRACT In this paper, we consider wave propagation in a layered medium. Using the Baker‐Campbell‐Hausdorff series, we expand the logarithm of a propagator matrix in series of frequency. The series coefficients allow us to extend the effective Backus medium for low frequencies. The proposed technique is applied to vertical propagation in a periodically layered and binary medium as well as for a gradient medium. The velocity dispersion equations are derived for these media. We also consider the layered medium with monoclinic anisotropy. We illustrate the accuracy of the proposed method on synthetic and well‐log data.