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众所周知,用傅里叶共轭代替横坐标或坐标系时,波动方程偏移一般更为简单。本文利用这一概念,对两种实际偏移方案作了发展。第一种方案扩展了克雷尔伯特的有限差分法,在较大倾角和较高频率时,大大降低了与该方法通常有关的波散问题;第二种方案是在共轭空间用纯标量波动方程,实现傅里叶时空变换,这种方法可消除(相当于假频的)全部波散。第二种方法似乎特别适用于三维偏移和三维迭加前偏移。
It is well-known that when the Fourier conjugate is used instead of an abscissa or coordinate system, the wave equation shifts are generally simpler. This article uses this concept to develop two practical offset schemes. The first solution extends Kleelbert’s finite difference method, which greatly reduces the wave-scattering problems that are usually associated with this method at larger angles of inclination and higher frequencies. The second option is to use purely conjugate space Scalar wave equation, the realization of Fourier space-time transform, this method can eliminate (equivalent to the aliasing) all the wave. The second method seems to be particularly suitable for 3D offsets and 3D pre-stack offsets.