三维f-x,y域随机噪音衰减

Attenuation of random noise in(f-x,y) domain

本文提出一种新的三维去噪法方──三维随机噪音衰减（3－DRNA）。该法假设反射波同相轴在局部为平面，因而在f-x，y域空间的所有方向上，同一频率成分的信号均具有可预测的特点。这样便可以采用多道复数最小平方原理，求出一个矩形预测滤波算子，达到去噪的目的。通过理论试验及实际资料的处理，表明这种三维去噪方法明显好于常规二维f-x域预测去噪（2－DRNA）方法。因为该法能充分利用三线信息、完整地保留构造形态，去噪能力更有效。去噪后，断点清晰、波形自然、无相干蚯蚓化等现象。

3D random noise attenuation (3D RNA) ,a new 3D noise removal,is put forward here. Its presumptive prerequisite is that partial reflection event is in plane so that the signals at the same frequency are predictable in all directions in (f- x,y) do main. As a result,noise removal can be achieved by determining a rectangular predictive filtering operator with the use of the least-square principle of multitrace complex number.Theoretical and real processing data show that this 3D method is much better than usual predictive noise attenuation (2D RNA) in f-x domain. This method is very effective on noise attenuation because it makes full use of 3D information and shows complete geological structure. Such noise removal brings the seismic data which exhibit clear fault points and spontaneous wave forms, without coherent earthworm phenomenon.