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最大熵反褶积(伯格反褶积)方法可以求取反射系数或提取地震子波进一步作最小平方反褶积,提高地震记录分辨率。 本文简述了此方法的原理和计算的递推公式,利用理论合成记录计算了当子波是不同相位性质时,伯格反射系数的提取。计算结果表明,对不同相位性质的子波,要取不同方向的预测误差,当子波是最小相位时,伯格反射系数应取正向预测误差e_t~(+),当子波是最大相位时,伯格反射系数取反向预测误差e_t~(-),当子波是混合相位时,伯格反射系数要取正、反向预测误差的线性组合 ζt=αe_t~(+)+(1-α)e_t~(-) α值在0～1之间并从理论上推导了最大相位和最小相位情况下的公式。进一步利用不同方向的预测误差输出与地震记录作互相关,求出不同相位的地震子波。
The maximum entropy deconvolution (Bogle deconvolution) method can obtain the reflection coefficient or extract seismic wavelet to further make the least squares deconvolution, and improve the resolution of seismic recording. In this paper, the principle of the method and the recursive formula of the calculation are briefly described. By using theoretical synthesis records, the Burg reflection coefficients are extracted when the wavelet is of different phase. The calculation results show that the prediction errors of different directions should be taken in different phases, and when the wavelet is the minimum phase, the Bore reflection coefficient should be the forward prediction error e_t ~ (+). When the wavelet is the maximum phase , The Bogle reflection coefficient takes the reverse prediction error e_t ~ (-). When the wavelet is a mixed phase, the Bogle reflection coefficient should be positive and the linear combination of the backward prediction errors ζt = αe_t ~ (+) + (1 -α) e_t ~ (-) α is between 0 and 1, and the formulas of maximum phase and minimum phase are derived theoretically. Further use of the prediction error output in different directions and the seismic record for cross-correlation, find the different phases of seismic wavelet.