基于自聚焦技术的探地雷达分层介质距离偏移成像方法

    A Layered Medium Range Migration Imaging Algorithm Based on Self-focusing Technology for Ground Penetrating Radar

    • 摘要: 传统距离偏移(RM)算法基于单一均匀介质假设,难以适用于探地雷达(GPR)常见的分层介质场景,在实际应用中准确获取偏移速度模型存在较大困难。针对上述问题,文中提出了一种基于自聚焦技术的GPR分层介质RM成像方法。该算法在频率―波数域通过波场相位延拓,处理电磁波在分层界面造成的电磁波传播路径偏折,将上层波场向下延拓至各层分界面,进而对各层实施RM成像,实现分层介质内目标回波能量的精准聚焦。在此基础上引入自聚焦技术,综合利用图像熵、对比度、高阶量与平均强度量四项评价指标估计探测场景相对介电常数,以此构建高精度偏移速度模型,进一步改善成像质量。仿真与实测结果表明,文中所提方法在分层介质场景可实现目标反射波精准归位,能量聚焦清晰,在相对介电常数估计准确性与分层介质成像精度方面具有显著优势。

       

      Abstract: Traditional range migration (RM) algorithms are based on the assumption of a homogeneous medium, making them unsuitable for layered medium scenarios in ground penetrating radar (GPR) applications. Moreover, accurately obtaining the migration velocity model in practical applications faces significant challenges. To address these issues, a layered medium RM imaging algorithm based on self-focusing technology for GPR is proposed in this paper. The algorithm adopts wavefield phase continuation in the frequency-wavenumber domain to handle electromagnetic wave path bending at layered interfaces, extrapolating the wavefield from the upper medium to each layer boundary, followed by layer RM imaging to achieve precise focusing of target energy in layered medium. On this basis, a self-focusing technique is introduced to estimate the relative permittivity of the detection region by comprehensively utilizing four evaluation metrics: image entropy, contrast, higher-order moments, and average intensity measure, thereby obtaining an accurate migration velocity model and improving imaging precision. Results of simulation and measurement demonstrate that the proposed method achieves accurate relocation of target reflected waves and clear energy focusing in layered medium scenarios, and has distinct advantages in both relative permittivity estimation accuracy and layered medium imaging precision.

       

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