The wedge model is commonly used to study the limits of seismic resolution where conventionally the thickness of sub‐resolution seismic layers can be determined from thin layer tuning curves. Tuning curves relate the layer temporal thickness to the wavelet frequency, but, to our knowledge, no systematic study has been done to date of the effects of velocity dispersion and attenuation on tuning. In this work, we study the tuning properties of a thin layer dispersing according to the standard linear solid model. We show that the first tuning curve is sensitive to the attenuation, relative polarity and magnitude of the two reflection coefficients at the top and base of the layer. We provide an analytic formula for the upper bound in the mismatch between the elastic and dispersive tuning curves. We conclude that highly attenuative thin layers can appear thicker or thinner than they actually are depending on polarity and relative magnitude of reflection coefficients at the layer interfaces. Our results are particularly relevant in the quantification of CO₂ where knowledge of the temporal thickness of CO₂ layers is reliant on their tuning curves.

中文翻译：

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分散薄层的地震调谐

楔形模型通常用于研究地震分辨率的极限，在常规情况下，亚分辨率地震层的厚度可以从薄层调谐曲线确定。调谐曲线将层的时间厚度与小波频率相关联，但是据我们所知，迄今为止，尚未进行系统研究来研究速度色散和衰减对调谐的影响。在这项工作中，我们根据标准线性固体模型研究了薄层分散体的调谐特性。我们表明，第一调谐曲线对层的顶部和底部的两个反射系数的衰减，相对极性和大小敏感。我们为弹性和色散调整曲线之间的不匹配上限提供了一个解析公式。我们得出的结论是，高度衰减的薄层可能会比实际看起来更厚或更薄，这取决于层界面处的极性和反射系数的相对大小。我们的结果与CO的定量分析特别相关_在图2中，CO ₂层的时间厚度的知识依赖于它们的调谐曲线。