Inelastic attenuation characteristics of the layers cause the narrowness of middle and deep signal band, weakness of energy, and difficulty of imaging. It is therefore necessary to compensate the inelastic attenuation of the layers. Based on one-way wave equation, the authors use the complex velocity including quality factor and frequency substitutes for real velocity. Then through expansion viscous continuation operators using continued fraction in F-X domain, the authors obtain phase and compensate term, correct the error caused by continued fraction in F-K domain, and use gradually accumulate method to solve the irregular surface problem. This method could improve the imaging accuracy and compensate the amplitude and frequency attenuation effectively. Model trial and real data processing show that this method has certain adaptability and practicability.