In this article,under the assumption of weak anisotropy and weak attenuation, we present approximate solutions of anisotropic complex velocities and quality-factors for Kelvin visco-elastic transverse isotropy（KEL-VTI） media,based on the complex physical parameter matrix.Also,combined with the KEL-VTI media model,the propagation characteristics of the qP-,qS V-,and qSH-wave phases and energies are discussed.Further, we build a typical KEL-VTI media model of the Huainan coal mine to model the wave propagation.The numerical simulation results show that the PP- and PSV-wave theoretical wave-fields are close to the wave-fields of three-component P- and converted-waves acquired in the work area.This result proves that the KEL-VTI media model gives a good approximation to this typical coalfield seismic-geologic conditions and is helpful to the study of attenuation compensation of multi-component seismic data.
