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Research Article | Open Access

Generalization of Snell's Law for the propagation of acoustic waves in elliptically anisotropic media

Luis M. Pedruelo-González( ), Juan L. Fernández-Martínez
Group of Inverse Problems, Optimization and Machine Learning, Department of Mathematics, Universidad de Oviedo, Oviedo, Spain
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Abstract

In seismic data processing, both in inversion (Inverse Processing) and modeling (Direct Processing), it is essential to consider anisotropy to unravel the geological structure of the subsoil. Besides, in most cases, the macroscopic model of anisotropy in 2D seismic surveys is elliptical and weak, with ratios of anisotropy close to one. Therefore, it is crucial to have at disposal the analytical formulas for acoustic wave propagation in elliptical anisotropic media. We presented the generalization of the Snell's Law for the case of acoustic wave propagation in elliptically anisotropic media. The generalization of the Snell's Law for acoustic anisotropic media had different applications in digital processing, raytracing, and acoustic inversion to properly consider elliptical anisotropy.

CLC number: 86-XX

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AIMS Mathematics
Pages 14997-15007

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Cite this article:
Pedruelo-González LM, Fernández-Martínez JL. Generalization of Snell's Law for the propagation of acoustic waves in elliptically anisotropic media. AIMS Mathematics, 2024, 9(6): 14997-15007. https://doi.org/10.3934/math.2024726

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Received: 02 January 2024
Revised: 13 April 2024
Accepted: 19 April 2024
Published: 25 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)