二维波动方程地震偏移差分格式的稳定性

STABILITY OF DIFFERENCE SCHEME OF 2-D WAVE EQUATIQN MIGRATION

海洋地质综合研究大队

本文讨论了二维波动方程地震偏移差分解法中两个模型的差分格式的稳定性,其中Model-Ⅰ为小倾角偏移模型、Model-Ⅱ为大倾角偏移模型。两个模型差分化后的方程组,可应见快速追赶解法求解;讨论差分格式稳定性时,应用了矩阵特征值为模的方法。

In this paper, the stability of difference scheme to solve the 2-D wave equation for migration is examined with two models. Model- I is. for small dips while Model-Ⅱ , for big dips. The differencing coupled equations of the two models could be solved by the "fast pursuit method". In examining the stability of difference scheme, the eigenvalue of matrix was taken as the modulus.