Based on a single SLS isotropic media theory, we deduce the second-order quasi-differential equation and extend it to develop viscoacoustic reverse time migration algorithm for VTI medium. Our method use the pseudo-spectral method to calculate numerical simulation. We introduce a regularization operator to eliminate high frequency instability caused by the backward propagation. In the meantime we build a stable reverse time propagator to achieve the amplitude compensating reverse time migration for viscoacoustic VTI medium. The imaging result of HESS model suggests that the viscoacoustic VTI RTM method proposed in this paper compensates the loss of seismic energy and corrects the anistropic effect on seismic propagation. So we get accurate and reliable amplitude-preserving imaging section.


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