A new approach of the approximation for the ray velocity curve of transversely i
sotropic media is presented and the meaning of the anelliptic term is examined f
or the two approximations
which were previously introduced by Muir (1985) and Byun et al. (1989).
Compared with stacking velocity obtained by simple hyperbolic velocity analysis
,
the additional parameters estimated by the non-hyperbolic method contain more ph
ysically meaningful geologic information regarding the anisotropy of the subsurf
ace.
Synthetic {\P}-wave model experiments demonstrate that the non-hyperbolic moveou t formulas yield an excellent fit to time-distance curves over a wide range of r ay angles. Consequently, the measurement parameters are shown to reflect adequately the cha racteristics of velocity dependence on ray angle i.e. velocity anisotropy.