Determining subsurface properties is of fundamental importance in exploration seismic imaging. Poroelasticity theory provides an opportunity to extract quantitative fluid- and attenuation-dependent properties from seismic data. Following Pratt’s frequency-domain full-waveform-inversion (FWI) procedure and extending the basic FWI equations from the elastic case to the poroelastic case, we implement poroelastic FWI (PFWI) of fluid-saturated porous media. By analysing the sensitivity kernels of poroelastic parameters, we explain the reason why some parameters are more difficult to recover than others. We also show the analytical and numerical radiation patterns based on which we predict the trade-offs among parameters. In numerical experiments, we invert two models to demonstrate the feasibility and effectiveness of the proposed PFWI and to verify our predictions about trade-offs for two-parameter PFWI. Finally, we discuss the various factors that influence the inversion results.

中文翻译：

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流体饱和多孔弹性介质中的频域全波形反演

确定地下性质在勘探地震成像中至关重要。孔隙弹性理论为从地震数据中提取与流体和衰减相关的定量特性提供了机会。遵循Pratt的频域全波形反演（FWI）程序并将基本FWI方程从弹性情况扩展为多孔弹性情况，我们实现了流体饱和多孔介质的多孔弹性FWI（PFWI）。通过分析多孔弹性参数的敏感性核，我们解释了为什么某些参数比其他参数更难恢复的原因。我们还显示了分析和数值辐射图，以此为基础我们可以预测参数之间的折衷。在数值实验中 我们将两个模型进行倒置，以证明所提出的PFWI的可行性和有效性，并验证我们对两参数PFWI的权衡取舍的预测。最后，我们讨论了影响反演结果的各种因素。