反褶积与信噪比的关系研究

在地震资料数字处理中 ,分辨率与信噪比是一对相互制约的矛盾 ,为了在反褶积处理过程中控制信噪比 ,从理论上分析了反褶积后剖面信噪比降低的原因 .以不同相位子波为例 ,从时间域出发 ,利用最小平方反滤波原理计算出反褶积算子 ,并验证了反褶积后剖面信噪比的降低是受反子波能量的影响 .为了兼顾分辨率和信噪比 ,进而分析讨论了反褶积中的白噪化问题 ,提出可以用加入白噪的方法来控制信噪比 ,但白噪不易加入过大 ,否则 ,由于加入白噪后求出的反子波不再是原来子波的逆 ,从而又将影响剖面分辨率的提高

Study on the Relationship Between Deconvolution and Signal-to-Noise Ratio

After seismic record is deconvoluted, its resolution is decreased. In order to control profile signal-to-noise ratio in the processing of deconvolution, the cause is analyzed in theory why the signal-to-noise ratio is decreased after deconvolution. Some different phase wavelets are taken as examples, their deconvolution operators were calculated based on the principle of minimal-square-deconvolution. It is proven that the signal-to-noise ratio is controlled by the energy of the inverse wavelet after deconvolution, and the greater the energy, the more the signal-to-noise ratio is decreased. It is put forward that the drop of the signal-to-noise ratio can be controlled by adding white noise. But the white noise is can't be added too much, otherwise the increase of the signal-to-noise ratio is limited because the inverse wavelet obtained after the white noise is added is not the inverse of the original wavelet.