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Full-waveform inversion of triplicated data using a normalized-correlation-coefficient-based misfit function

机译:使用基于归一化相关系数的失配函数对三重数据进行全波形反演

摘要

In seismic full-waveform inversion (FWI), the choice of misfit function determines what information in data is used and ultimately affects the resolution of the inverted images of the Earth's structure. Misfit functions based on traveltime have been successfully applied in global and regional tomographic studies. However, wave propagation through the upper mantle results in multiple phases arriving at a given receiver in a narrow time interval resulting in complicated waveforms that evolve with distance. To extract waveform information as well as traveltime, we use a misfit function based on the normalized correlation coefficient (CC). This misfit function is able to capture the waveform complexities in both phase and relative amplitude within the measurement window. It is also insensitive to absolute amplitude differences between modeled and recorded data, which avoids problems due to uncertainties in source magnitude, radiation pattern, receiver site effects or even miscalibrated instruments. These features make the misfit function based on normalized CC a good candidate to achieve high-resolution images of complex geological structures when interfering phases coexist in the measurement window, such as triplication waveforms. From synthetic tests, we show the advantages of this misfit function over the cross-correlation traveltime misfit function. Preliminary inversion of data from an earthquake in Northeast China images a sharper and stronger amplitude slab stagnant in the middle of the transition zone than FWI of cross-correlation traveltime.
机译:在地震全波形反演(FWI)中,失配函数的选择决定了数据中使用了哪些信息,并最终影响了地球结构倒像的分辨率。基于旅行时间的错配功能已成功应用于全球和区域层析成像研究。但是,通过上地幔的波传播会导致多个相位以狭窄的时间间隔到达给定的接收器,从而导致复杂的波形随距离而变化。为了提取波形信息以及行程时间,我们使用了基于归一化相关系数(CC)的失配函数。该失配功能能够捕获测量窗口内相位和相对幅度的波形复杂度。它还对建模数据和记录数据之间的绝对幅度差异不敏感,从而避免了由于源震级,辐射方向图,接收器站点效应甚至仪器校准错误而引起的问题。这些特征使基于归一化CC的失配函数成为在测量窗口中共存干扰相(例如三重波形)时获得复杂地质结构的高分辨率图像的良好候选者。从综合测试中,我们证明了这种失配函数相对于互相关旅行时间失配函数的优势。东北地震数据的初步反演表明,过渡带中间停滞的振幅平板比互相关旅行时间的FWI更陡峭和更强。

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