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分形守恒定律是一种基于偏微分方程的滤波方法.方程最显著的特征是将互为矛盾的两项——分形反扩散项与经典的扩散项结合在一起.反扩散项起信号增强的作用,而去噪的作用在扩散项中体现.通过分形指数,扩散与反扩散的系数可实现滤波器的调节.本文应用这个新颖的滤波模型来实现地震资料中随机噪声的消减,同时又能增强有效的地震信号.方程的求解基于傅里叶变换.对合成地震记录的测试表明。本算法在不同强度的噪声环境中(信噪比为-5 dB至10 dB)都能很好地恢复同相轴,提高信噪比.通过对实际共炮点资料的处理结果表明,基于分形守恒定律的新滤波方法能有效的压制随机噪声并改善同相轴的连续性.
The law of fractal conservation is a filtering method based on partial differential equations.The most notable feature of the equation is the combination of two contradictory items - the fractal anti-diffusion term and the classical diffusion term. The anti-diffusion term functions as a signal enhancement , While the effect of denoising is reflected in the diffusion term.The filter can be adjusted by the fractal index, the coefficient of diffusion and anti-diffusion.This paper applies this novel filter model to reduce the random noise in seismic data and at the same time enhances Valid seismic signals The solution to the equation is based on the Fourier transform and tests on synthetic seismograms show. The proposed algorithm can recover the events well and improve the signal-to-noise ratio under different noise environments (signal to noise ratio of -5 dB to 10 dB) .According to the processing results of actual common shot data, The new law of filtering can effectively suppress the random noise and improve the continuity of the events.