拟合—差分法吸收边界全声波方程三维偏移

3-D migration using the full acoustic wave equation that involves fitting-difference method and absorptive boundary

本文从拟合法原理及其模式出发，独立地给出一个波动方程偏移数值方程。该数值方程既可以是三维的，也可以是二维的；既可以是有吸收边界的，又可以是无吸收边界的；既可用差分法也可以用拟合法实现，这只取决于方程内各项数值算子的系数如何填写。按照这个原则，本文对该方程设计了具有吸收边界条件的π／4坐标旋转方程拟合—差分法三维偏移及其算法程序。理论试算和实际资料的计算均取得了明显的效果。

A numerical equation for wave equation migration is derived from fitting methodprinciple and the pattern. This numerical equation may involves three dimension ortwo dimension,absorptive boundary or no absorptive boundary,difference method orfitting method,which on1y depends on the coefficients of numerical operators in theequation.According to this principle,we design 3-D migration and its algorithm by introducing the equation which underwent π/4 coordinate revolution and involves absorptive boundary condition and fitting-difference method. Both theoretical and real dataprocessing results show obviously good effect.