Accuracy analysis of the optimal separable approximation method of one-way wave migration  

单程波最优化可分近似偏移方法精度分析(英文)

作　　者：杜淑媛[1,2] 陈景波[2] 刘洪[2] 

机构地区：[1]中国科学院研究生院,北京100049 [2]中国科学院地质与地球物理研究所中国科学院油气资源研究重点实验室,北京100029

出　　处：《Applied Geophysics》2011年第4期328-336,371,372,共11页应用地球物理（英文版）

基　　金：sponsored by the National Natural Science Foundation of China (Nos. 40774069 and 40974074);the State Key Program of National Natural Science of China (No. 40830424);the National 973program (No. 007209603)

摘　　要：An approximation for the one-way wave operator takes the form of separated space and wave-number variables and makes it possible to use the FFT, which results in a great improvement in the computational efficiency. From the function approximation perspective, the OSA method shares the same separable approximation format to the one-way wave operator as other separable approximation methods but it is the only global function approximation among these methods. This leads to a difference in the phase error curve, impulse response, and migration result from other separable approximation methods. The difference is that the OSA method has higher accuracy, and the sensitivity to the velocity variation declines with increasing order.单程波算子的可分近似形式是关于空间变量和波数变量的函数,这使得快速傅里叶变换的利用成为可能,从而极大提高了计算效率。从函数近似的角度来看,最优可分近似方法与其他几种可分近似方法一样都具有单程波算子可分表达的形式,但最优可分近似方法是其中唯一的函数整体近似的方法,这就造成了该方法在相位误差曲线、脉冲响应、模型偏移结果上表现出与其他可分近似方法不一样的特征:该方法精度较高,且随着阶数的增大,对速度变化的敏感度降低。

关 键 词：one-way wave operator MIGRATION separable approximation optimal separable approximation 

分 类 号：P631.4[天文地球—地质矿产勘探]