单程波方程的高阶逼近

HIGHER APPROXIMATION OF ONE-WAY WAVE EQUATION

利用地震波场分裂技术对二维波动方程进行单程波分解 ,很容易求解波动方程 ,能够达到求解精度 ;对低阶微分方程组中的上行波方程进行 3种高阶逼近 ,可以实现大倾角以及任意倾角的偏移。该方法克服了小倾角差分偏移的各种困难 ,实现了快速、准确的地震资料偏移的高分辨率处理以及地震波传播的数值模拟。文中给出的上行波方程的 3种高阶逼近方程 ,是为了实现任意倾角的差分 ,具有计算方便、减少计算量等优点 。

This paper uses seismic wave field split technique to perform one way wave decomposition for 2D wave equation. It is easy to solve wave equation and reach the solutiom accuracy. Performing 3 kinds of high approximation on the upward traveling wave equation in low differential equation group can realize the migration of large dip and any dip. This method solves the shortcomings of small dip difference migration and realizes rapid and accurate high resolution process of seismic data migration and numerical simulation of seismic wave propagation. The 3 kinds of high approximation equation of upward traveling wave equation are used to realize the difference of any dip . they have the advantage of easy calculation and less calculation amount.