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    基于熵优化的多重同步挤压广义S变换的TK主能量提取方法研究

    Teager-Kaiser dominant energy extraction method based on entropy-optimized multisynchrosqueezing generalized S-transform

    • 摘要: 地震信号时频信息的有效表达与高精度刻画,对地震资料处理及解释工作至关重要。传统时频分析方法普遍存在分辨率不足的问题,而同步挤压理论的提出有效改善了这一局限。其中,多重同步挤压方法通过对原始时频谱迭代执行多次同步挤压变换,具备比传统同步挤压算法更高的分析精度。为此,本文提出基于广义 S 变换的多重同步挤压变换算法,并引入熵优化准则实现时窗参数的自适应优化。同时,将该算法应用于地震资料的Teager-Kaiser主能量属性提取,用于储层预测研究。合成信号测试结果表明,本文算法不仅具有优异的时频表达能力,还可实现信号重构。即便在含噪声情况下,仍能对有效信号的时频分布进行有效表达。在部分Marmousi2模型的属性提取测试中发现,基于本文算法计算的Teager-Kaiser主能量属性对储层的刻画较为精准。最后,将本文所提方法应用于某工区二维剖面的储层预测,结果进一步验证了该方法具备较好的储层刻画能力,可为油气勘探中的储层识别提供可靠技术支撑。

       

      Abstract: High-quality representation and precise characterization of the time-frequency (TF) information in seismic signals are crucial for seismic data processing and interpretation. Traditional TF analysis methods generally suffer from insufficient resolution, while synchrosqueezing theory has effectively mitigated this limitation. Notably, the multisynchrosqueezing transform achieves higher precision than conventional synchrosqueezing algorithms by iteratively applying the synchrosqueezing operation to the original TF spectrum. To this end, this paper proposes a multisynchrosqueezing transform algorithm based on the generalized S-transform, where an entropy criterion is introduced to adaptively optimize the time window. The proposed algorithm is applied to extract Teager-Kaiser (TK) dominant energy attributes from seismic data for reservoir prediction. Results from synthetic signal tests show that the proposed method not only exhibits excellent TF representation capability but also enables signal reconstruction. Even under noise contamination, it can still effectively characterize the TF distribution of the effective signals. A Marmousi2 model test demonstrates a strong correlation between reservoir properties and the TK dominant energy attributes derived using the proposed method. Application results from 2D field data further validate its effectiveness in reservoir characterization, thus providing reliable technical support for reservoir identification in hydrocarbon exploration.

       

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