arXiv:2512.08284physics.geo-phcs.CV2025-12

通过自增强机制动态优化网络输入,提升地震反演精度与稳定性。

Self-Reinforced Deep Priors for Reparameterized Full Waveform Inversion

  • 用反馈迭代更新网络参数和输入,实现自适应结构增强
  • 合成与实测数据验证,分辨率更高、深度穿透更强
  • 无需手动选频段和时窗,简化反演流程,适合复杂地质

全波形反演(FWI)是高分辨率地下成像的常用方法,但其强非线性常导致收敛至局部极小值。基于深度图像先验的重参数化FWI(DIP-FWI)利用神经网络的谱偏差和隐式正则化,可避免局部极小值并重建更符合地质规律的速度模型。然而,现有DIP-FWI通常固定使用随机初始输入,未能利用网络输入与输出间的映射关系。在复杂地质条件下,输入信息不足会加剧反问题的病态性,引发伪影和重构不稳定。为此,本文提出自增强型DIP-FWI(SRDIP-FWI),通过引导算法在每轮迭代中交替更新网络参数与输入,利用当前输出反馈实现自适应结构增强与正则化,有效缓解了反演病态性。进一步分析了网络谱偏差在多尺度速度建模中的作用。合成测试与野外陆地数据应用表明,相比多尺度FWI,SRDIP-FWI在分辨率、精度和深度穿透能力上均有提升。更重要的是,该方法无需人工选择频率带或时间窗,显著简化了反演流程。整体上,本方法为准确构建地下速度模型提供了一种新颖、自适应且鲁棒的框架。

原文摘要 · Abstract (English)

Full waveform inversion (FWI) has become a widely adopted technique for high-resolution subsurface imaging. However, its inherent strong nonlinearity often results in convergence toward local minima. Recently, deep image prior-based reparameterized FWI (DIP-FWI) has been proposed to alleviate the dependence on massive training data. By exploiting the spectral bias and implicit regularization in the neural network architecture, DIP-FWI can effectively avoid local minima and reconstruct more geologically plausible velocity models. Nevertheless, existing DIP-FWI typically use a fixed random input throughout the inversion process, which fails to utilize the mapping and correlation between the input and output of the network. Moreover, under complex geological conditions, the lack of informative prior in the input can exacerbate the ill-posedness of the inverse problem, leading to artifacts and unstable reconstructions. To address these limitations, we propose a self-reinforced DIP-FWI (SRDIP-FWI) framework, in which a steering algorithm alternately updates both the network parameters and the input at each iteration using feedback from the current network output. This design allows adaptive structural enhancement and improved regularization, thereby effectively mitigating the ill-posedness in FWI. Additionally, we analyze the spectral bias of the network in SRDIP-FWI and quantify its role in multiscale velocity model building. Synthetic tests and field land data application demonstrate that SRDIP-FWI achieves superior resolution, improved accuracy and greater depth penetration compared to multiscale FWI. More importantly, SRDIP-FWI eliminates the need for manual frequency-band selection and time-window picking, substantially simplifying the inversion workflow. Overall, the proposed method provides a novel, adaptive and robust framework for accurate subsurface velocity model reconstruction.

地震反演深度先验自增强多尺度建模

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