Capacitively Coupled Resistivity measurements to determine frequency-dependent electrical parameters in periglacial environment—theoretical considerations and first field tests
Capacitively Coupled Resistivity measurements to determine frequency-dependent electrical parameters in periglacial environment—theoretical considerations and first field tests
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电容耦合电阻率测量，以确定冰缘环境中频率相关的电参数——理论考虑和首次现场测试
DOI：
10.1093/gji/ggw178
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发表时间：
2016
影响因子：
2.8
通讯作者：
Hördt
中科院分区：
文献类型：
--
作者：
Przyklenk;Hördt
电容耦合电阻率（CCR）通常用于模拟直流电阻率测量，可以提供有关冰缘地区材料冰含量的重要信息。从理论上讲，CCR的应用可以通过分析幅度和相移谱来确定电学参数，即电阻率和介电常数。介电常数可能主导阻抗，特别是在冰缘地区或水文地质兴趣地区。然而，先前的理论工作表明，相移可能强烈依赖于电极在地面上的高度，这意味着电极高度必须以很高的精度知道才能确定介电常数。在这里，我们通过实验室测试测量、理论建模和分析反演的雅可比矩阵证明，如果电介电常数以典型的冰的方式依赖于频率，则对电极高度的灵敏度将大大降低。我们第一次使用了一种新型的宽带CCR设备“变色龙”进行现场测试，该测试位于祖格斯皮策峰下的一个山脊走廊。研究人员检查了一个永久被冰覆盖的隧道底部。为了反演实测光谱，采用三种不同的方式对电参数的频率依赖性进行了参数化：纯冰的Debye模型、纯冰的Cole-Cole模型和另外包括界面水的双Cole-Cole模型。从反演中获得的频率相关电阻率和介电常数谱，包括低频和高频极限，与文献中报道的实验室和现场测量结果相当吻合。
Capacitively Coupled Resistivity (CCR) is conventionally used to emulate DC resistivity measurements and may provide important information about the ice content of material in periglacial areas. The application of CCR theoretically enables the determination of both electrical parameters, that is, the resistivity and the electrical permittivity, by analysing magnitude and phase shift spectra. The electrical permittivity may dominate the impedance, especially in periglacial areas or regions of hydrogeological interest. However, previous theoretical work suggested that the phase shift may strongly depend on electrode height above ground, implying that electrode height must be known with great accuracy to determine electrical permittivity. Here, we demonstrate with laboratory test measurements, theoretical modelling and by analysing the Jacobian matrix of the inversion that the sensitivity towards electrode height is drastically reduced if the electrical permittivity is frequency dependent in a way that is typical for ice. For the first time, we used a novel broad-band CCR device ‘Chameleon’ for a field test located in one of the ridge galleries beneath the crest of Mount Zugspitze. A permanently ice covered bottom of a tunnel was examined. For the inversion of the measured spectra, the frequency dependence of the electrical parameters was parametrized in three different ways: A Debye Model for pure ices, a Cole–Cole Model for pure ices and a dual Cole–Cole Model including interfacial water additionally. The frequency-dependent resistivity and permittivity spectra obtained from the inversion, including low- and high-frequency limits, agree reasonably well with laboratory and field measurements reported in the literature.
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