Seismic wave propagation in an anisotropic media with complex subsurface geology produces reflected as well as a diffracted wave. Which contains useful information regarding the subsurface geometry and velocity information. We develop vertical transverse isotropy (VTI) wave modeling algorithm based on the low-rank technique which is fast and stable to study the wave propagation behavior. This paper shows the significance of incorporating anisotropy into the seismic exploration data which is proven on different data set. We develop a VTI wave modeling algorithm based on the low-rank technique which is fast and stable to study the wave propagation behavior. The results demonstrate the wave propagation including VTI provides better signal imaging in case of lateral positioning of seismic events which are necessary for prospect evaluation. Copyright 2020, International Petroleum Technology Conference.