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On constraints imposed on a transversely isotropic elasticity tensor

2019/04/02 by Filip P. Adamus, Adamus, Filip P., Izabela Kudela +1
Earth and Planetary Sciences · Engineering · #FOS: Physical sciences #Geophysics (physics.geo-ph) #Geophysics and Sensor Technology #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis

paper · pdf · doi:10.48550/arxiv.1904.01707

openalex publication_date 2019/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss several physical constraints imposed on elasticity parameters of a transversely isotropic (TI) tensor. There are three types of restrictions we investigate; a fundamental one of stability conditions, and two additional ones, commonly considered in seismology. The first commonly considered restriction comes from an assumption of a wave with a greater speed in the horizontal than vertical direction. The second constitute the assumption that quasi-P wave is faster than quasi-S waves. We show several numerical examples to examine how these restrictions affect a TI tensor with known values of certain elasticity constants that could be acquired from the vertical or horizontal measurements.

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