On commutativity of Backus and Gazis averages
classification
⚛️ physics.geo-ph
keywords
averagebackuscommutegazisaveragescasescommutativityeffective-medium
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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.
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