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实际研究结果表明，地震反射序列的功率谱与频率的幂fα（f为频率）之间呈正比关系（即具有分形特征）。一般可简单地根据地震道的对数功率谱进行直线拟合，以求取功率谱指数α值，然而所得结果误差较大。本文对此方法作了进一步改进，提出了一种通过多次运用保持直线准则的平滑、拟合等手段，从地震记录的对数功率谱提取分形反射序列谱幂指数α的快速、有效的方法。合成地震记录的试算结果表明，此方法较之原方法精度提高几倍，相对误差由百分之几十减少到只有百分之几。
The actual research results show that the power spectrum of the seismic reflection sequence is proportional to the power fα (f is the frequency) of the frequency (ie, has a fractal characteristic). In general, the linear logarithm of the logarithmic power spectrum of the seismic trace can be simply used to obtain the power spectrum index α, however, the resulting error is relatively large. In this paper, the method is further improved, and a fast and effective method for extracting the spectral exponent α of the fractal reflection sequence from the log power spectrum of seismic records is proposed by means of multiple smoothing and fitting methods that maintain the straight line criterion . The test results of synthetic seismograms show that the accuracy of this method is several times higher than that of the original method and the relative error is reduced from tens of percent to only a few percent.