基于L1正则化的地震谱反演方法

Seismic spectral-inversion technique based on L1-norm regulation method

将L1正则化方法应用到地震谱反演的实现中,验证了谱反演方法在拓宽频谱宽度、提高分辨率上的可行性。对谱反演中L1正则化解的稀疏性和应用矩形窗造成结果不稳定的现象做了详细讨论,提出自动选择窗口长度进行谱反演的算法模式,并基于该模式对地震模型进行了试算。该方法有效地拓宽了数据的频谱宽度,提高了反射地震勘探的精度,为薄层的识别和更加复杂的地震勘探提供了一种新的思路。

Ll-norm regulation method is applied in the seismic spectral-inversion technique, which verified the feasibility in broadens spectral range and increased resolution of seismic data. Besides, the sparsity of Ll-norm regulation solution and the instability by using rectangular window have been discussed in detail. The authors pres- ent an algorithm of auto-picking window length to do the calculation, and calculate one seismic trace model by the algorithm. Spectral-inversion technique effectively broadens spectral range and increases resolution of the reflection survey, and provides a new thinking in recognizing thin layers and more complicate seismic survey.