Several previous studies have proved the effectiveness of the CNN-UM solution of isotropie elastic wave equations. Most crustal rocks of interest to exploration geophysics are either inherently anisotropic or behave as anisotropic materials when probed by seismic waves. This paper describes modeling of wave propagation in transversely isotropic media. Numerical methods which are based on finitedifference (FD) techniques (in time and space) were not efficient when applied to realistic 3D models, because they require enormous computer memory and power. This work investigates the simulation speedup of FD techniques by CNN-UM architecture. Unfortunately the huge number of spacedependent equations and the low computational precision do not make it possible to utilize the huge computing power of the analogue VLSI CNN-UM chips so the FPGA based Falcon emulated digital CNN-UM architecture is used to implement our solution.