On the Backus average of layers with randomly oriented elasticity tensors
Geophysics
2018-04-20 v1
Abstract
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 oriented anisotropic elasticity tensor, which-one might expect-would result in an isotropic medium. However, we show-by means of a fundamental symmetry of the Backus average-that the corresponding Backus average is only transversely isotropic and not, in general, isotropic. In the process, we formulate, and use, a relationship between the Backus and Gazis et al. (1963) averages.
Keywords
Cite
@article{arxiv.1804.06891,
title = {On the Backus average of layers with randomly oriented elasticity tensors},
author = {Len Bos and Michael A. Slawinski and Theodore Stanoev},
journal= {arXiv preprint arXiv:1804.06891},
year = {2018}
}