全波动方程有限差分法倾角时差校正

Full Wave-equatin Finite-difference Dip Moveout

首先从倾角时差极正（DMO）微笑响应方程出发，导出了共偏移距地震剖面DMO波动方程，在浮动坐标系中，该方程化为一个只与炮检距有关而与速度无关的二阶偏微分方程，用时间步长上的分裂方法对此方程进行分裂，获得了以地面观测波场为这值，最大记录时间波场为初值的波动方程波场外推法DMO的定解问题.由于时间步长上的分裂方法没有任何近似，所以理论上讲能适应任何倾角反射波的成像，同时由于采用浮动坐标变换，波场只需延拓到t＝τ，处即可以成像，这样和其他波场外推法DMO相比计算量也减少了一半.

The common offset dip moveout(DMO) equation is derived in the paper based on DMO smile response curve. In the floating coordinate, the DMO equation is changed into a two order partial differential equation. Because we solve the DMO equation by time splitting algorithm, so the reflections with any dips can be theoretically focused well, meanwhile, the calculation is reduced by a hall as comped with other wavefield continuahon DMO methods. In the end, it gives DMO wavelet responses and qualitative analysis of the calculation accuracy of our method.