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在传统的有限差分法中,由于忽略了波场对深度方向的高次导数,因而未能实现全波动的正演。本文根据差分波动理论提出一种共轭模型正演方法。考虑二维问题的波数方程,对给定的初始波数给出一个共轭波数,就可以将一个全波数方程分成两个共轭的波数方程,分别求解这两个方程,便可得到波场P。在CYBER720计算机上对地质模型试算的结果表明,共轭正演方法的信噪比较高,能明显地反映波场的动力学特征,是一种切实可行的方法。
In the traditional finite difference method, full-wave forward modeling can not be achieved due to ignoring the high-order derivative of the wave field in the depth direction. In this paper, we propose a forward method of conjugate model based on the theory of differential fluctuation. Considering the wave number equation of two-dimensional problem, given a conjugate wave number for a given initial wave number, a full wave number equation can be divided into two conjugate wave number equations. Solving these two equations separately yields the wave field P . The results of the trial calculation of the geological model on the CYBER720 computer show that the conjugate forward method has a high signal-to-noise ratio and can clearly reflect the dynamic characteristics of the wave field. It is a feasible method.