球面波的平面波分解——Fourier—Hankel变换

PLANE-WAVE DECOMPOSITION OF THE SPHERICAL WAVEFIELD FOURIER-HANKEL TRANSFORM

为对地震波传播进行理论分析，或者把它应用于石油勘探中去，经典的方法是把球面、波场分解成平面波场（平面波分解）。完成这一平面波分解的数学工具是Fourier-Hankel变换。本文首先介绍了平面波分解在求解层状介质中点震源激发的地震波传播问题中的作用。继而介绍三种Hankel变换的数值计算方法及试验分析。

For theory of seismic wave propagation and application in the petroleum exploration,classical method is to do plane-wave decomposition of spherical wavefield. Mathematical tool to complete the plane-wave decomposition is Fourier-Hankel transformation. This paper deals with solution of seismic wave propagation in layered medium with point source using Hankel transform. And then, three kinds of numerical computational method of Hankel transform are introduced. Also the computational effect for these method are compared.