Abstract:For underlying lower-velocity layers shielded by high-velocity layers, the wide-angle seismic exploration is effective seismic exploration approach. But under the wide-angle condition, the phase difference exists between the reflected and incident waves,making the reflection coefficients complex and the feature of wave dynamics very complicated, bringing difficulty to identification, processing and interpretation of practical seismic data. In the conditions that the elastic parameters of medium λ,μ and σ are determined,wave velocity and dense of medium relatively change, the paper, coming from the Zoeppritz equation, uses the method of numeric simulation to simulate the propagation rule of supercritical seismic waves, which showed,when P-wave incident angles are equal to or great than critical angle, the properties of wave change, the reflection coefficients become complex, which made receiving of reflections on surface difficult,but the transmitted S-wave has strong energy that can be used for detection of information in underlying low-velocity layers shielded by high-velocity layers. It is proved, by using 4-order NMO formula with anisotropic parameters (Alkhalifah method, Hake formula and Castle formula) to carry out correction for seismic data with large offsets, the corrected effects of high-order NMO formula with anisotropic parameters are obviously superior to that of ordinary NMO formula at large offsets