Theoretical surface motion for pulse transmission through transversely isotropic elastic structures is computed by Fourier inversion of the product of the Fourier transform of an input pulse, complex transfer coefficients for anisotropic structures, and a seismograph system response. Introduction of anisotropy causes subtle changes in the angles of refraction and shifts in arrival times of different phases as intuitively expected from Snell's law. Computations suggest no obvious criteria for recognizing anisotropy from surface motion.