2018arXiv (Cornell University)Open access

On inhomogeneity parameters for Backus average

Filip P. Adamus, Kaderali, Ayiaz

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Abstract

In this paper, we discuss five parameters that indicate the inhomogeneity of a stack of parallel isotropic layers. We show that, in certain situations, they provide further insight into the intrinsic inhomogeneity of a Backus medium, as compared to the Thomsen parameters. Additionally, we show that the Backus average of isotropic layers is isotropic if and only if $γ=0$. This is in contrast to parameters $δ$ and $ε$, whose zero values do not imply isotropy.

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In this paper, we discuss five parameters that indicate the inhomogeneity of a stack of parallel isotropic layers. We show that, in certain situations, they provide further insight into the intrinsic inhomogeneity of a Backus medium, as compared to the Thomsen parameters. Additionally, we show that the Backus average of isotropic layers is isotropic if and only if $γ=0$. This is in contrast to parameters $δ$ and $ε$, whose zero values do not imply isotropy.

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Available abstract

In this paper, we discuss five parameters that indicate the inhomogeneity of a stack of parallel isotropic layers. We show that, in certain situations, they provide further insight into the intrinsic inhomogeneity of a Backus medium, as compared to the Thomsen parameters. Additionally, we show that the Backus average of isotropic layers is isotropic if and only if $γ=0$. This is in contrast to parameters $δ$ and $ε$, whose zero values do not imply isotropy.

Key concepts: Isotropy, Stack (abstract data type), Contrast (vision), Physics, Zero (linguistics), Geometry, Mathematics, Computer science

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