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  Reverse-time migration for post-stack seismic data in anisotropic media is implemented using the finite-element method.As an accurate digital method,the finite-element method is flexible for dealing with complicated geological structures,inner and man-made boundaries despite its intensive computation.Applying it in reverse-time migration may produce accurate images for anisotropic media.To eliminate man-made boundary reflections,the absorbing boundary condition for anisotropic elastic waves is also studied.An efficient and stable absorbing boundary scheme is presented combining a discrete transparent boundary condition with an attenuation boundary condition.……