Elastic and attenuative effects play a major role in the determination of wave amplitudes and phases observed at seismic sensors. Viscoelastic full-waveform inversion (FWI) has the potential to recover much of the information content of measured seismic data by simultaneously accounting for these effects. However, the frequency variations and phase information present in viscoelastic FWI introduce new challenges to the inversion, especially through their impact on interparameter crosstalk. Crosstalk is typically characterized through analysis of the radiation patterns of point scatterers; however, the point scatterer model is not well suited to viscoelastic FWI because (1) attenuation introduces a significant potential for crosstalk between variables distant from one another in space and (2) interpreting the effect of frequency and phase dependence on the radiation patterns of point scatterers is not straightforward. We have introduced and examined a numerical approach for assessing the viscoelastic crosstalk modes expected for a given parameterization, optimization strategy, and acquisition geometry based on differencing various synthetic inversion results. With this approach, we have characterized the viscoelastic crosstalk for a typical parameterization for several possible acquisition geometries. Of particular note is the strong tendency for $Q$ variables to leak into elastic variables from which they are spatially separated.

中文翻译：

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粘弹性全波形反演中空间分离未知数之间的参数串扰和泄漏

弹性和衰减作用在确定地震传感器处观察到的波幅和相位方面起主要作用。粘弹性全波形反演（FWI）有可能通过同时考虑这些影响来恢复已测地震数据的大部分信息内容。但是，粘弹性FWI中存在的频率变化和相位信息给反演提出了新的挑战，特别是通过它们对参数间串扰的影响。串扰通常通过分析点散射体的辐射图来表征。然而，点散射体模型不适用于粘弹性FWI，因为（1）衰减会在空间上彼此远离的变量之间产生很大的串扰潜力，并且（2）解释频率和相位对点散射体辐射方向图的影响是不简单。我们已经引入并检查了一种数值方法，用于基于给定的各种合成反演结果来评估给定参数化，优化策略和采集几何形状所需的粘弹性串扰模式。通过这种方法，我们已经针对几种可能的采集几何结构的典型参数化特征化了粘弹性串扰。特别值得注意的是 我们已经引入并检查了一种数值方法，用于基于给定的各种合成反演结果来评估给定参数化，优化策略和采集几何形状所需的粘弹性串扰模式。通过这种方法，我们已经针对几种可能的采集几何体的典型参数化特征化了粘弹性串扰。特别值得注意的是 我们已经引入并检查了一种数值方法，用于基于给定的各种合成反演结果来评估给定参数化，优化策略和采集几何形状所需的粘弹性串扰模式。通过这种方法，我们已经针对几种可能的采集几何体的典型参数化特征化了粘弹性串扰。特别值得注意的是$问$ 变量泄漏到弹性变量中，并在空间上与它们分离。