21 citations · 58 across the 29 of their papers we have counts for
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Numerical examination of commutativity between Backus and Gazis et al. averages
David R. Dalton, Michael A. Slawinski
Dalton and Slawinski (2016) show that, in general, the Backus (1962) average and the Gazis et al. (1963) average do not commute. Herein, we examine the extent of this noncommutativ…
Forward problem for Love and quasi-Rayleigh waves: Exact dispersion relations and their sensitivities
David R. Dalton, Michael A. Slawinski, Piotr Stachura +1
We examine two types of guided waves: the Love and the quasi-Rayleigh waves. Both waves propagate in the same model of an elastic isotropic layer above an elastic isotropic halfspa…
On closest isotropic tensors and their norms
Tomasz Danek, Andrea Noseworthy, Michael A. Slawinski
An anisotropic elasticity tensor can be approximated by the closest tensor belonging to a higher symmetry class. The closeness of tensors depends on the choice of a criterion. We c…
On commutativity of Backus and Gazis averages
David R. Dalton, Michael A. Slawinski
We show that the Backus (1962) equivalent-medium average, which is an average over a spatial variable, and the Gazis et al. (1963) effective-medium average, which is an average ove…
On Backus average for generally anisotropic layers
Len Bos, David R. Dalton, Michael A. Slawinski +1
In this paper, following the Backus (1962) approach, we examine expressions for elasticity parameters of a homogeneous generally anisotropic medium that is long-wave-equivalent to…
On Backus average for oblique incidence
David R. Dalton, Ayiaz Kaderali
We postulate that validity of the Backus (1962) average, whose weights are layer thicknesses, is limited to waves whose incidence is nearly vertical. The accuracy of this average d…