In seismic waveform inversion, the reconstruction of the subsurface properties is usually carried out using approximative wave propagation models to ensure computational efficiency. The viscoelastic nature of the subsurface is often unaccounted for, and two popular approximations--the acoustic and linearized Born inversion--are widely used. This leads to reconstruction errors since the approximations ignore realistic (physical) aspects of seismic wave propagation in the heterogeneous earth. In this study, we show that the Bayesian approximation error approach can be used to partially recover from errors, addressing elastic and viscous effects in acoustic Born inversion for viscoelastic media. The results of numerical examples indicate that neglecting the modelling errors induced by the approximations results in very poor recovery of the subsurface velocity fields.

中文翻译：

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一种改进粘弹性介质地震数据声波波恩波形反演的基于贝叶斯的方法

在地震波形反演中，地下特性的重建通常使用近似的波传播模型进行，以确保计算效率。地下的粘弹性性质通常无法解释，两种流行的近似值——声学和线性化伯恩反演——被广泛使用。这会导致重建错误，因为近似忽略了异质地球中地震波传播的现实（物理）方面。在这项研究中，我们表明贝叶斯近似误差方法可用于从误差中部分恢复，解决粘弹性介质声波恩反演中的弹性和粘性效应。