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Optimization of acquisition setup for cross-hole GPR full-waveform inversion using checkerboard analysis

机译:使用棋盘格分析优化跨孔GPR全波形反演的采集设置

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Tomographic inversions of cross-hole ground-penetrating radar provide images of electromagnetic properties of the shallow subsurface and are used in a wide range of applications. Whereas the resolutions of ray-based methods like first-arrival traveltime and first-cycle amplitude tomography are limited to the scale of the first Fresnel zone, full-waveform inversions incorporate precise forward modelling using the full recorded signal for a solution of Maxwell's equation, which results in sub-wavelength resolutions. In practice, the method can be time-consuming in data acquisition and expensive in computational costs. To overcome these expenses, a semi-reciprocal acquisition setup with a reduced number of transmitters and an interchange of transmitter and receiver boreholes instead of a one-sided equidistant setup in either borehole yielded promising results. Here, this optimized, semi-reciprocal acquisition setup is compared to a dense, equidistant, one-sided acquisition setup measured at the field site Krauthausen, Germany. The full-waveform inversion results are evaluated using the checkerboard test as a capable resolution analysis tool to determine resolvabilities. We introduced also a new method of time-zero correction by a cross-correlation of a zero-offset profile with corresponding horizontal traces of each multi-offset gather. The obtained experimental results from Krauthausen combined with the checkerboard analysis indicate the main three-permittivity layers that correspond with different porosities. Also fine-layered structures within these main layers were reliably imaged. We conclude that the use of the semi-reciprocal setup is optimum for acquisition speed, inversion speed and obtained permittivity inversion results. Our results indicate that conductivity results are better for denser transmitter-receiver setups.
机译:跨孔地面穿透雷达的层析成像反演可提供浅层地下电磁特性的图像,并被广泛应用。尽管基于射线的方法(如首次到达的行进时间和第一周期振幅层析成像)的分辨率仅限于第一菲涅耳区的范围,但全波形反演结合了精确的正向建模,使用完整记录的信号求解麦克斯韦方程,产生亚波长分辨率。实际上,该方法在数据获取中可能是耗时的,而在计算成本方面可能是昂贵的。为了克服这些费用,采用减少发射器数量和互换发射器和接收器钻孔的半对等采集设置,而不是在任一钻孔中进行单侧等距设置,都可产生可喜的结果。在此,将这种优化的,半互惠的采集设置与在德国Krauthausen现场测量的密集,等距,单侧采集设置进行了比较。使用棋盘格测试作为功能强大的分辨率分析工具来评估全波形反演结果,以确定分辨率。我们还通过零偏移曲线与每个多偏移道集的相应水平轨迹的互相关,介绍了一种零时校正的新方法。从克劳特豪森获得的实验结果结合棋盘格分析表明,对应于不同孔隙率的主要三层介电常数。这些主层中的精细层结构也得到了可靠的成像。我们得出结论,对于测量速度,反演速度和获得的介电常数反演结果,半互易设置的使用是最佳的。我们的结果表明,电导率结果对于较密集的发射器-接收器设置更好。

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