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基于U-Net模型的矿井电阻率反演方法研究

Research on mine electrical resistivity inversion method based on U-Net model

  • 摘要: 针对矿井电阻率反演中传统方法依赖初始模型、边界模糊及现有深度学习反演存在伪影干扰的问题,提出物理约束的U-Net反演方法。该方法融合电性敏感特性与深度聚焦机制,基于U-Net网络的多尺度特征融合架构构建加权交叉熵损失函数,通过编码器—解码器跳跃连接实现异常体与背景场的电性差异强化; 基于三类典型异常体定义电阻率分布的参数化空间,采用有限元法对6 000组模型进行正演计算,通过偶极—偶极装置获取视电阻率剖面数据,构建地质模型—电性响应匹配数据集并用于监督学习训练。实验结果表明:该方法Dice系数为0.950±0.018,单次反演耗时由传统最小二乘反演方法的65.2 s降至1.0 s,效率提升98.5%。通过物理先验与深度学习的协同优化,为煤矿水害隐蔽致灾体精准探测提供了解决方案。

     

    Abstract: To address the limitations of traditional resistivity inversion methods in mining scenarios—including initial model dependency, boundary ambiguity, and artifacts present in existing deep learning-base inversion approaches—this study proposes a physics-constrained U-Net inversion method. By integrating electrical sensitivity characteristics and depth focusing mechanisms, the method constructs a weighted cross-entropy loss function based on U-Net's multi-scale feature fusion architecture. Enhanced encoder-decoder skip connections are employed to amplify resistivity contrasts between anomalies and background fields. A parameter space for resistivity distribution was defined based on three types of typical anomalous bodies, and forward modeling was performed on 6 000 models using the finite element method. Dipole-dipole array configurations were applied to acquire apparent resistivity profiles, establishing a geoelectric model-response paired dataset for supervised training. Experimental results demonstrate a Dice coefficient of 0.950±0.018 and a reduction in inversion time from 65.2 s (least-squares method) to 1.0 s per instance, improving computational efficiency by 98.5%. The synergistic optimization of physical priors and deep learning provides an effective solution for precise detection of hidden water-conducting structures in coal mine hazard prevention.

     

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