用CNN自适应过滤模型参数和梯度,提升地面雷达全波形反演精度
GPR Full-Waveform Inversion through Adaptive Filtering of Model Parameters and Gradients Using CNN
- 在正演前嵌入CNN模块,对模型参数与梯度进行自适应滤波
- 通过端到端可微设计,有效抑制震源/接收点处的异常梯度值
- 适用于地质体特征清晰成像,尤其适合复杂介质反演任务
地面穿透雷达(GPR)全波形反演通过迭代优化地下介质模型以匹配完整波形信息。然而,基于波场外推得到的模型梯度常包含伪影或在震源与接收点处出现过大数值,导致反演模型对异常体表征模糊或引入虚假异常,难以获得准确结果。为此,本文提出一种新型全波形反演(FWI)框架,引入嵌入式卷积神经网络(CNN)对模型参数与梯度进行自适应滤波。具体地,将CNN模块嵌入正演计算之前,并确保整个反演流程保持可微性。该设计利用深度学习库的自动求导机制,使模型值在正向传播中通过CNN,梯度在反向传播中也经由CNN传递。实验表明,正向传播中滤波模型参数、反向传播中滤波梯度,可显著提升反演结果质量。
原文摘要 · Abstract (English)
GPR full-waveform inversion optimizes the subsurface property model iteratively to match the entire waveform information. However, the model gradients derived from wavefield continuation often contain errors, such as ghost values and excessively large values at transmitter and receiver points. Furthermore, models updated based on these gradients frequently exhibit unclear characterization of anomalous bodies or false anomalies, making it challenging to obtain accurate inversion results. To address these issues, we introduced a novel full-waveform inversion (FWI) framework that incorporates an embedded convolutional neural network (CNN) to adaptively filter model parameters and gradients. Specifically, we embedded the CNN module before the forward modeling process and ensured the entire FWI process remains differentiable. This design leverages the auto-grad tool of the deep learning library, allowing model values to pass through the CNN module during forward computation and model gradients to pass through the CNN module during backpropagation. Experiments have shown that filtering the model parameters during forward computation and the model gradients during backpropagation can ultimately yield high-quality inversion results.
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