Analysis of body_wave velocity characteristic for TI medium with arbitrary spatial orientation
任意空间取向TI介质中体波速度特征

TI medium with arbitrary spatial orientation (ATI) is the actual anisotropic model used to describe tilted PTL (period thin layers) and no vertical fractured rock. In this paper, we study the characteristic of body-wave velocity with incident angle and azimuth variation by using the method of coordinates transformation for TI medium with arbitrary strength of anisotropy and arbitrary spatial orientation. The result shows that patterns of body-wave velocity are fixed relative to the symmetry axis, and these fixed patterns are closely related to Thomsen's anisotropic parameters. Body-wave velocity characteristic depends just on the angle between the propagation direction and the symmetry axis. Therefore, with variations of spatial orientation of the symmetry axis and the surveying line azimuth, patterns of body-wave velocity show variety, and have some symmetries, gradual changes and repetitions. The result is useful to further theoretical research and explaining of seismic data.