用神经网络实现三维地震波速反演,兼顾主动与被动源数据,提升精度与效率。
Bayesian three-dimensional seismic travel-time tomography for active- and passive-source seismic data using physics-informed neural network

- 采用物理信息神经网络(PINN)构建无网格速度模型,实现高效贝叶斯推断。
- 在真实海陆数据上验证,能准确恢复地质构造并给出数据一致的不确定性图谱。
- 适用于地震监测与灾害评估,尤其适合大规模三维建模与存储受限场景。
利用主动源与被动源地震走时数据进行高精度三维地震波速建模,是地震活动监测与灾害评估的关键基础。由于走时反演本质上是病态逆问题,基于贝叶斯方法的不确定性量化对下游分析至关重要。然而,传统基于网格的三维贝叶斯反演面临维度灾难与严重计算瓶颈,导致大范围三维走时反演的严格不确定性量化长期未被探索。本文提出一种无网格的三维贝叶斯走时反演方法,结合物理信息神经网络(PINN)与神经网络表示的速度结构,通过函数空间粒子变分推断实现可处理且数据高效的贝叶斯推断。为高效融合被动源数据,我们采用解析边缘化处理,将不确定的震源参数视为无关参数,并在后处理中完成被动源重定位。通过合成实验验证了该方法在三维问题上的能力。进一步应用于日本南海海槽近岸海域的海洋主动源调查与天然地震真实数据集。其概率性三维集成模型成功揭示关键地质特征,并提供与数据一致的不确定性分布。后验震源位置主要垂直移动10-15公里,与先前重定位结果一致。此外,神经网络表示大幅降低整个速度模型集合的存储需求,凸显所提框架的可扩展性与数据效率。
原文摘要 · Abstract (English)
Accurate 3D seismic velocity modeling through seismic travel-time tomography using both active- and passive-source data provides critical underpinning models for seismicity monitoring and hazard assessment. Because travel-time tomography is an inherently ill-posed inverse problem, UQ of the estimated models using Bayesian methods is also important for reliable downstream interpretations and analyses. However, Bayesian inference for 3D tomography based on conventional grid-based representations faces the ``curse of dimensionality'' and severe computational bottlenecks. Consequently, rigorous Bayesian UQ for margin-wide 3D travel-time tomography has remained largely unexplored. In this study, we propose a meshless 3D Bayesian travel-time tomography method that combines PINNs with a neural representation of the velocity structure, enabling tractable and data-efficient Bayesian inference through function-space particle-based variational inference. To efficiently integrate passive-source data into the Bayesian estimation of the velocity structure, we conduct analytical marginalization treating uncertain source parameters as nuisance parameters, with passive-source relocation carried out in post-processing. We validated the capability of our approach for 3D problems through synthetic experiments. Furthermore, we applied the method to a real-world dataset from marine active-source surveys and natural earthquakes off the Kii Peninsula, Nankai Trough. Our probabilistic 3D ensemble successfully resolves key geological features and provides data-consistent uncertainty maps. The posterior mean hypocenters shifted mainly in the vertical direction by 10-15 km, consistent with a previous relocation result. Finally, the neural representation drastically reduces storage requirements for the entire ensemble velocity model, highlighting the scalability and data efficiency of the proposed framework.
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