克雷尔伯特方程反演试验

参照克雷尔伯特方程反演算法中由地表观测记录计算地下介质速度关于深度变化率β(M)的闭形解公式，直接由β(M)的积分方程利用傅里叶变换和插值法，导出一种便于应用的算法。由于β(M)在反射界面上呈δ函数形状，从而可以通过β(M)的输出来确定反射面的位置。在二维情况下，通过若干个由克希霍夫积分公式合成的理论剖面进行速度反演的试算，结果表明速度反演法亦能较好地实现反射界面的偏移归位，而且具有计算速度快的优点。

The experiment on Claerbout equation inversion

Referring to the closed solution formula used to calculate vertical velocity gradient from surface seismic data in J,F,Claerbout equarion inversion algorithm, we can directly derive a simple algorithm from integral. equation by means of Fourier transform and interpolation. Because the parameter is a d function on reflectors, the reflector can be positioned from the output.The velocity inversion of several theoretical sections synthesized by Kirchhoff integral formulas shows that the velocity inversion method also can make seismic migration both good and fast.