On commutativity of Backus and Gazis averages
Geophysics
2016-01-13 v1
Abstract
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 over a symmetry group, do not commute, in general. They commute in special cases, which we exemplify.
Keywords
Cite
@article{arxiv.1601.02969,
title = {On commutativity of Backus and Gazis averages},
author = {David R. Dalton and Michael A. Slawinski},
journal= {arXiv preprint arXiv:1601.02969},
year = {2016}
}