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    基于改进S变换与二维整形正则化的Q值计算及储层预测

    Q-Value Estimation and Reservoir Prediction Based on an Improved S-Transform and 2-D Shaping Regularization

    • 摘要: 地下介质的品质因子Q是衡量地震波能量衰减特性的关键参数,对储层预测、油气资源评价及地下构造成像具有重要意义。谱比法是目前获取Q值的常用方法之一。然而,传统谱比法在低信噪比和非平稳信号的情况下对Q值的获取精度显著降低,很难应用于储层预测。为解决这些问题,提出一种基于改进S变换与整形正则化相结合的Q值估算方法。首先,利用改进S变换引入的非线性窗函数缩放因子,获取目标信号的高精度时频谱。然后,将谱比法中的除法转换为一个类反演问题,依据整形正则化的思想构建一个二维的三角平滑算子,在空间与频率两个方向上施加连续性先验约束,通过多次迭代抑制随机噪声与离散异常,最终得到精度高且稳定的Q值。含噪模型测试表明,该方法在低信噪比环境下仍能保持稳定求解;实际地震数据的应用结果表明,该方法计算的Q值与含水饱和度曲线吻合良好,准确识别出致密砂岩薄储层。因此,该方法为低信噪比条件下的品质因子提取、储层预测提供了一套可靠、高效的技术手段。

       

      Abstract: The quality factor Q of subsurface media is a critical parameter that characterizes the attenuation of seismic wave energy and plays a pivotal role in reservoir prediction, hydrocarbon resource evaluation, and subsurface structural imaging. Although the spectral-ratio method is a standard approach for Q estimation, its accuracy degrades significantly at low signal-to-noise ratio (SNR) and nonstationary signals, limiting its applicability in reservoir characterization. To address these challenges, we propose a novel Q-estimation method that integrates an improved S-transform (IST) with shaping regularization. First, we obtained a high-precision time-frequency spectrum of the target signal by introducing a nonlinear window function scaling factor into the IST. Subsequently, we reformulated the division operation inherent in the spectral ratio method as a quasi-inversion problem. Based on the principles of shaping regularization, a two-dimensional triangular smoothing operator was constructed to impose continuous prior constraints in both the spatial and frequency domains. Through iterative optimization, random noise and discrete anomalies were effectively suppressed, yielding high-precision and stable Q estimates. Tests on noisy synthetic models demonstrated that the proposed method maintains stability even in low-SNR environments. Application to field seismic data further revealed that the estimated Q values correlated well with the water-saturation curves, successfully identifying thin, tight sandstone reservoirs. Consequently, this method provides a reliable and efficient technical solution for quality factor extraction and reservoir prediction under low-SNR conditions.

       

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