f-x域算子外推去噪技术研究

A technique for noise elimination using operator extrapolation in f-x domain

在对f-x域预测滤波去噪技术深入研究的基础上，本文提出产工域算子外推去噪技术。f-x域算子外推去噪技术的假设前提和数学原理与f-x域预测滤波去噪技术大致相同。不同之处是它利用了有效反射信号和线性（或近似线性）干扰波的道间时差及能量的差异，以及有效信号同相轴的所有频率成分具有相同时差的假设条件，运用信噪比较高的中频段频率成分外推来求取高、低频带的预测算子。利用求得的预测算子进行预测滤波去噪处理，可使掺杂在有效地震反射数据中的随机噪声和线性（或近似线性）干扰波同时得到压制，同时还能使有效信号的高频成分得到较好的保护。

Abstract: A new technique for noise elimination using operator extrapolation in f-x do-main has been put forward on the basis of detailed analysis of the technique for noise elimination using prediction filtering in fx domain. Its presumptive premiseand mathematic principle are nearly the same as those of the latter one. Its only dif-ference to this latter one is that high S/N contents in mid frequency band are ex-trap0lated to obtain prediction operators of high and low frequency bands, by usingintertrace time (or energy ) difference between useful reflection and linear (0rquasi linear ) noise, and by taking the presumption that all frequency contents ofuseful signal event have equal time difference. The application of these derived pre-diction operators to prediction-filtering noise elimination suppresses the random andlinear (or quasi linear ) noises which mingle in useful seismic waves, but protectsuseful high-frequency seismic signals.