高分辨率滤波算子在小波域中的提取

Obtaining the high-resolution filter operator in wavelet domain.

常规提高分辨率的地震处理方法中 ,反褶积算子局部化特征差 ,影响了算子的频率。小波变换中 ,小波函数具有非常好的局部化特征。小波变换分频处理地震资料 ,也可以得到较好的高分辨率资料 ,但是分频处理地震资料的时间较反褶积方法长。本文基于小波域分频处理方法 ,提出了一种在小波域中的时间域和频率域构造类似于反褶积算子的滤波算子 ,并且推导出了适应于高分辨率地震资料处理的导数小波函数 ,在时间域采用反褶积方法处理高分辨地震资料。实际资料的应用证明 ,这是一种快速小波分频处理方法 ,并且该方法在理论上是正确的 ,实际应用上是成功的。

In ordinary seismic processing methods for resolution improvement, deconvo-lution operator has poor part characteristics, thus influencing the ope rator frequen-cy. In wavelet transform, wavelet function has very good part charact eristics. Fre-quency-division data processing in wavelet transform also brings quite good high resolution data, but it needs more time than deconvolution method does. On the basis of frequency-division processing method in wavelet domain, a new technique is put forward, which involves 1) designing filter operators equivalent to deconvolution operator in time and frequency domains in wavelet transform, 2) obtaining derivative wavelet function that is suitable to high-resolution seismic data processing, and 3) processing high resolution seismic data by deconvolution method in time domain. Real application result proves that this is a fast wavelet frequency-division processing technique, and it is correct in theory and feasible in real application.