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1-D复地震道分析概念容易引申到 2-D。2-D 的瞬时振幅和相位是标量,而 2-D 瞬时频率和带宽为垂直于局部波前的矢量,每一矢量是由一个数值和一个倾角所确定。两个独立的瞬时倾角测量值对应于瞬时视相速度和群速度。按照f-k或2-D正弦假频滤波的准则,对陡反射倾角的瞬时倾角假频滤波,2-D频率和带宽适合于偏移资料,而1-D频率和带宽适合于未偏移资料。用比1-D少得多的计算量可有效地计算出2-D希尔伯特变换和2-D复地震道属性。在3-D情况下,振幅和相位仍是标量,但频率和带宽是具有大小、倾角和方位的3-D矢量。
The concept of 1-D complex seismic traces is easily extended to 2-D. The instantaneous amplitude and phase of 2-D are scalar while the 2-D instantaneous frequency and bandwidth are vectors perpendicular to the local wave front, each vector being determined by a value and an inclination. The two independent instantaneous dip measurements correspond to instantaneous vise and swarm speeds. The 2-D frequency and bandwidth are suitable for offset data and the 1-D frequency and bandwidth are suitable for unbiased data, in accordance with the f-k or 2-D sine-aliasing filter criteria for instantaneous dip-dip filtering of steep bounce angles. The 2-D Hilbert transform and 2-D complex trace properties are efficiently calculated with much less computation than 1-D. In the 3-D case, the amplitude and phase are still scalar, but the frequency and bandwidth are 3-D vectors of size, tilt and orientation.