基于Sinc插值与相关谱的纵横波速度比扫描方法

在多分量地震技术中，准确地求取出纵、横波速比（γ）是多分量资料处理、反演、解释各环节中的一个重要步骤。由于地下同一层位具有相同的波阻抗比，因此该层位的反射纵波和反射转换波相互关联，纵横波速比与时间比存在相互转化关系。基于Sinc插值算法与相关系数谱分析的纵横波速比扫描方法是通过设置一系列γ，利用Sinc插值算法将纵波拉伸后与转换波进行互相关，当互相关系数达到最大时即可求出相应的γ。理论数据和实际资料的测试，验证了该方法的有效性、准确性和实用性。

P-wave to S-wave Velocity Ratio Scanning Method Based on the Sinc Interpolation and Correlation Spectrum

In the multi-component seismic technique, accurate extraction of the P-wave to S-wave velocity ratio (γ) is an important step in multi-component data processing, inversion, and interpretation. As the wave impedance ratio for the same underground layer is the same, the reflected P-wave and reflected converted wave are interrelated at this layer. The P-wave to S-wave velocity ratio and time ratio can be mutually converted. In the P-wave to S-wave velocity ratio scanning method based on the sinc interpolation algorithm and correlation coefficient spectrum analysis, a series is set, and the sinc interpolation algorithm is used to cross-correlate the stretched P-wave with the converted wave. When the cross-correlation coefficient reaches its maximum value, the corresponding ratio can be obtained. The effectiveness, accuracy, and practicality of this method are verified through testing with both theoretical and actual data.