地震反射资料构造成像的高阶差分方法

High-order difference method for structure image of seismic reflection data

本文研究了构造与波速成像中波动方程逼近的几种高价差分方法，论证了其计算稳定性条件，分析了频散误差。在差分逼近中引入了自由系数节点，从而提高了计算的稳定性。理论分析表明，在构造与波速成像中采用高阶差分方法，可以减小频散误差、提高计算效率与计算精度、获得满意的效果。

I describe some high-order difference methods for wave equation approximation in structure and velocity images,point out their stability conditions and analyse the frequency dispersion error, Free coefficient nodes are used in difference approximation to improve computation stability. It is theoretically shown that the application of high-order difference method in structure and velocity images decreases frequency dispersion error,but improves effect and accuracy of computation,resulting in satisfactory effect.