地震学报（英文版）2008，Vol.21Issue(4)：370-379,10.
Exact traveltime computation in multi-layered transversely isotropic media with vertical symmetry axis
Exact traveltime computation in multi-layered transversely isotropic media with vertical symmetry axis
摘要
Abstract
An approach to calculate the accurate ray paths and travelfimes in multi-layered VTI media (transversely isotropic media with a vertical symmetry axis) is proposed. The expressions of phase velocity, group velocity and Snell's law used for computation are all explicit and exact. The calculation of ray paths and traveltimes for a given ele- mentary wave is equivalent to that of a transmission problem which is much easier to be treated with the formulae proposed. In the section of numerical examples, the processes of implementation are described at length using a multi-arrival example and a head-wave example. Lastly, the exact and approximate traveltime curves for the same elementary wave are calculated from the exact formulae and Thomsen's approximations, respectively. The com- parison of the curves reveals the increase of errors arising from the repeated use of approximations and indicates the limited applicable range of approximations. It is emphasized that one should keep in mind the applicable range of an approximation when using it.关键词
Snell's law/VTI media/anisotropy/transverse isotropy/ray tracing/traveltimeKey words
Snell's law/VTI media/anisotropy/transverse isotropy/ray tracing/traveltime分类
天文与地球科学引用本文复制引用
TANG Wei,LI Lei..Exact traveltime computation in multi-layered transversely isotropic media with vertical symmetry axis[J].地震学报（英文版）,2008,21(4):370-379,10.基金项目
National Natural Science Fundation of China (40674023). （40674023）
