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Tackling the non-linearity problem in GPR waveform inversion

机译:解决GPR波形反演中的非线性问题

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Crosshole radar tomography is a non-invasive tool used in diverse geological, hydrogeological and engineering investigations. Conventional tomograms provided by standard ray-based techniques have limited resolution. Higher resolution radar tomograms can be derived by using full-waveform inversion schemes. However, despite the theoretical improvement in resolution, convergence problems can arise in the application of full-waveform schemes due to the ill-posed nature of the inverse problem and the high non-linearity of the relationship between the model parameters and the scattered fields (i.e. the forward problem). We present here a new inversion scheme that starts with a low-pass filtered version of the radargrams and progressively expands the frequency bandwidth as the iterations proceed, thus reducing the likelihood of the inversion getting trapped in a local minimum. The benefits over standard full-waveform time- domain inversion are demonstrated by means of three synthetic examples.
机译:井间雷达层析成像是一种用于多种地质,水文地质和工程研究的非侵入性工具。由基于标准射线的技术提供的常规断层图具有有限的分辨率。可以通过使用全波形反演方案来获得更高分辨率的雷达X线断层图。然而,尽管理论上分辨率有所提高,但由于反问题的不适定性以及模型参数与散射场之间的关系具有很高的非线性,因此在全波形方案的应用中可能会出现收敛问题(即正向问题)。我们在这里提出一种新的反演方案,该方案以雷达图的低通滤波版本开始,并随着迭代的进行逐渐扩展频率带宽,从而降低了反演陷入局部最小值的可能性。通过三个综合实例证明了优于标准全波形时域反演的优势。

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