Generally, the layer medium are viscous.Due to absorption affect, seismic wave energy,especially high- frequency energy be absorbed and attenuated in downward propagation, reflection wave signal frequency bands be narrowed. For compensated those absorbed energy, the paper, adopt viscosity wave equation wave field continuation method, used to carry out energy compensation researching, and obtained better effect. At first, the paper from viscosity wave equation wave field continuation function theory, derived wave field continuation function stability condition;Secondly,author test the method availability;Finally, through forward simulation test, proved absorption and compensation method based on viscosity wave equation can carry on very well compensation of energy attenuation, improved processing effect.