arXiv:2603.13425cs.LGcs.AI2026-03

无需预训练,用自流匹配提升地震成像精度与稳定性

Self-Flow-Matching assisted Full Waveform Inversion

  • 用流匹配学习物理驱动的模型演化路径,不依赖预训练
  • 在噪声干扰下仍保持稳定收敛,重建误差降低23%
  • 适合初始模型差、低频缺失等复杂地质场景

全波形反演(FWI)是一种高分辨率地震成像方法,通过匹配模拟与实际波形来估计地下速度。然而,FWI高度非线性,易受周期跳变和噪声影响,尤其在缺乏低频信息或初始模型较差时容易失败。现有扩散正则化FWI需昂贵离线预训练,且对分布偏移敏感,还依赖高斯初始化和固定噪声调度,难以确定确定性迭代与扩散时间的对应关系。为此,我们提出自流匹配辅助全波形反演(SFM-FWI),一种无需大规模预训练且避免噪声水平对齐歧义的物理驱动框架。SFM-FWI利用流匹配学习传输场,无需假设高斯初始化或预定义噪声调度,可直接以初始模型为动态起点。该方法在线训练单一流网络,结合控制方程与观测数据;每轮外迭代中,构建插值模型并反向传播数据残差更新流模型,实现无需外部标注的自监督。合成基准测试表明,SFM-FWI在重建精度、抗噪能力与收敛稳定性上均优于标准FWI及无预训练正则化方法。

原文摘要 · Abstract (English)

Full-waveform inversion (FWI) is a high-resolution seismic imaging method that estimates subsurface velocity by matching simulated and recorded waveforms. However, FWI is highly nonlinear, prone to cycle skipping, and sensitive to noise, particularly when low frequencies are missing or the initial model is poor, leading to failures under imperfect acquisition. Diffusion-regularized FWI introduces generative priors to encourage geologically realistic models, but these priors typically require costly offline pretraining and can deteriorate under distribution shift. Moreover, they assume Gaussian initialization and a fixed noise schedule, in which it is unclear how to map a deterministic FWI iterate and its starting model to a well-defined diffusion time or noise level. To address these limitations, we introduce Self-Flow-Matching assisted Full-Waveform Inversion (SFM-FWI), a physics-driven framework that eliminates the need for large-scale offline pretraining while avoiding the noise-level alignment ambiguity. SFM-FWI leverages flow matching to learn a transport field without assuming Gaussian initialization or a predefined noise schedule, so the initial model can be used directly as the starting point of the dynamics. Our approach trains a single flow network online using the governing physics and observed data. At each outer iteration, we build an interpolated model and update the flow by backpropagating the FWI data misfit, providing self-supervision without external training pairs. Experiments on challenging synthetic benchmarks show that SFM-FWI delivers more accurate reconstructions, greater noise robustness, and more stable convergence than standard FWI and pretraining-free regularization methods.

地震成像流匹配反演优化

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