arXiv:2604.04107cs.LGphysics.geo-ph2026-04

神经网络能学会地震波的物理敏感性,不只当黑箱预测器。

Physical Sensitivity Kernels Can Emerge in Data-Driven Forward Models: Evidence From Surface-Wave Dispersion

  • 用自动微分对比神经网络梯度与理论敏感核,验证物理结构可学习
  • 在多个周期范围内,模型梯度复现了主要深度依赖的物理结构
  • 适合做反演与不确定性分析,但训练数据分布会影响结果可靠性

数据驱动的神经网络在地球物理学中越来越多地被用作代理正向模型,但尚不清楚它们仅学习数据映射还是也捕捉了底层物理敏感性结构。本文通过表面波频散测试该问题,比较神经网络代理模型的自动微分梯度与理论敏感核,发现学习到的梯度在广泛周期范围内能恢复物理敏感核的主要深度依赖结构。这表明神经代理模型可学习具有物理意义的微分信息,而非纯粹的黑箱预测器。同时,训练分布中的强结构先验会引入系统性偏差。结果表明,神经正向代理模型可为反演和不确定性分析提供有用物理信息,同时明确了其微分结构保持物理一致性的条件。

原文摘要 · Abstract (English)

Data-driven neural networks are increasingly used as surrogate forward models in geophysics, but it remains unclear whether they recover only the data mapping or also the underlying physical sensitivity structure. Here we test this question using surface-wave dispersion. By comparing automatically differentiated gradients from a neural-network surrogate with theoretical sensitivity kernels, we show that the learned gradients can recover the main depth-dependent structure of physical kernels across a broad range of periods. This indicates that neural surrogate models can learn physically meaningful differential information, rather than acting as purely black-box predictors. At the same time, strong structural priors in the training distribution can introduce systematic artifacts into the inferred sensitivities. Our results show that neural forward surrogates can recover useful physical information for inversion and uncertainty analysis, while clarifying the conditions under which this differential structure remains physically consistent.

神经网络地震反演物理感知敏感性分析

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