Qs-Waves In A Vicinity Of The Axis Of Symmetry Of Homogeneous Transversely Isotropic Media.

We study propagation of the SV- and SH-waves,<br>generated by a concentrated force in unbounded<br>transversely isotropic (TI) homogeneous media,<br>in the direction close to the axis of symmetry of<br>the media. This problem in known in geophysics<br>as the problem of kiss singularity. Our approach is<br>based on numerical analysis of the high-frequency<br>asymptotics of the SV- and SH-waves in TI<br>media in a vicinity of the axis of symmetry,<br>recently obtained by Popov (2001). These<br>formulas provide smooth transition of the qSwavefield<br>from a vicinity of the axis, where ray<br>method fails, to the ray formulas for the SV- and<br>SH-waves, which are valid on some distance from the axis.<br>We present time-pulse propagation of the coupled<br>SV-and SH-waves and their splitting with<br>increasing of the distance to the symmetry axis. A<br>distortion of the initial time-pulse is observed.