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In this paper, acoustic and pseudo-acoustic wave equations in vertical transverse isotropic media (VTI), developed by Tariq Alkhalifah (Alkhalifah, 2000), Klíe and Toro (Klíe and Toro, 2001) and Linbin Zhang (Zhang et al., 2005) are investigated. It is emphasized<br>that the study seeks the understanding of the nature of wave propagation, related to those approaches as well as the phenomena that control it and its limitations. The seismic modeling is applied in order to illustrate the differences among the presented equations.