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In this paper, we examine the applicability of the approximation, fg‾≈f‾g‾ $\overline{f g}\approx \overline{f}\,\overline{g}$, within Backus (J. Geophys. Res. 67(11):4427–4440, 1962) averaging. This approximation is a crucial step in the method proposed by Backus (J. Geophys. Res. 67(11):4427–4440, 1962), which is widely used in studying wave propagation in layered Hookean solids. According to this...
In this paper, following the Backus (in J. Geophys. Res. 67(11):4427–4440, 1962) approach, we examine expressions for elasticity parameters of a homogeneous generally anisotropic medium that is long-wave-equivalent to a stack of thin generally anisotropic layers. These expressions reduce to the results of Backus (1962) for the case of isotropic and transversely isotropic layers.In the over half-a-century...
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