21 citations · 58 across the 29 of their papers we have counts for
17 papers · 1 filter
Selecting velocity models using Bayesian Information Criterion
Tomasz Danek, Bartosz Gierlach, Ayiaz Kaderali +2
We present a strategy for selecting the values of elasticity parameters by comparing walk-away vertical seismic profiling data with a multilayered model in the context of Bayesian…
On Christoffel roots for nondetached slowness surfaces
Len Bos, Michael A. Slawinski, Theodore Stanoev
The only restriction on the values of the elasticity parameters is the stability condition. Within this condition, we examine Christoffel equation for nondetached slowness sur…
On orthogonal transformations of Christoffel equations
Len Bos, Michael A. Slawinski, Theodore Stanoev +1
The purpose of this paper is to prove the equivalenceunder rotations of distinct termsof different forms of a determinantal equation that appears in the studies of wave propa…
On the Backus average of layers with randomly oriented elasticity tensors
Len Bos, Michael A. Slawinski, Theodore Stanoev
As shown by Backus (1962), the average of a stack of isotropic layers results in a transversely isotropic medium. Herein, we consider a stack of layers consisting of a randomly ori…
On effects of inhomogeneity on anisotropy in Backus average
Filip P. Adamus, Ayiaz Kaderali, Michael A. Slawinski +1
In general, the Backus average of an inhomogeneous stack of isotropic layers is a transversely isotropic medium. Herein, we examine a relation between this inhomogeneity and the st…
On Backus average in modelling guided waves
David R. Dalton, Thomas B. Meehan, Michael A. Slawinski
We examine the Backus average of a stack of isotropic layers overlying an isotropic halfspace to examine its applicability for the quasi-Rayleigh and Love wave dispersion curves, b…
On Pareto Joint Inversion of guided waves
Adrian Bogacz, David R. Dalton, Tomasz Danek +2
We use the Pareto Joint Inversion, together with the Particle Swarm Optimization, to invert the Love and quasi-Rayleigh surface-wave speeds, obtained from dispersion curves, in ord…
On commutativity and near commutativity of translational and rotational averages: Analytical proofs and numerical examinations
Len Bos, David R. Dalton, Michael A. Slawinski
We show that, in general, the translational average over a spatial variable---discussed by Backus \cite{backus}, and referred to as the equivalent-medium average---and the rotation…
Statistical and numerical considerations of Backus-average product approximation
Len Bos, Tomasz Danek, Michael A. Slawinski +1
In this paper, we examine the applicability of the approximation, , within Backus (1962) averaging. This approximation is a cruci…
Sensitivity of Love and quasi-Rayleigh waves to model parameters
David R. Dalton, Michael A. Slawinski, Piotr Stachura +1
We examine the sensitivity of the Love and the quasi-Rayleigh waves to model parameters. Both waves are guided waves that propagate in the same model of an elastic layer above an e…
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…
On symmetries of elasticity tensors and Christoffel matrices
Andrej Bóna, Çağri Diner, Mikhail Kochetov +1
We prove that the symmetry group of an elasticity tensor is equal to the symmetry group of the corresponding Christoffel matrix.