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Modeling Broadband Electromagnetic Induction Responses of 2-D Multilayered Structures

机译:二维多层结构的宽带电磁感应响应建模

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Dual-coil frequency-domain electromagnetic induction (EMI) systems are commonly used as detectors of buried metallic objects, but they are also increasingly used for environmental purposes such as detection of contaminant plumes and archaeological prospection. Usually, data are analyzed directly by visualizing the in-phase and quadrature components, and also by applying one-dimensional inversion methods. Besides, there exist three-dimensional (3-D) forward and inverse modeling codes based on finite-difference techniques, but these methods are not routinely applied because their computation cost for real geophysical situations is still too high. The computation cost is significantly lower for two-dimensional (2-D) structures since this problem is not 3-D but 2.5-D. Few 2.5-D methods have been published in the last years, based on finite-element techniques, but for the case of electric dipole sources. In this paper, the authors present a 2.5-D forward-modeling algorithm, based on Rayleigh–Fourier expansions, for calculating the response of 2-D multilayered earth with irregular boundaries to the magnetic-dipole sources. Using this code, the authors numerically simulated the dual-coil frequency-domain EMI response of a soil model that could be found in environmental research. They considered a buried nonmetallic object, conductive with respect to the host media, and calculated its response for different orientations of the transmitter and receiver coils. The best resolution for detecting and characterizing this object corresponded to the configuration in which the axes of the transmitter and receiver dipoles were parallel to the ground surface and perpendicular to the symmetry axis of the buried objects, and the axis of the instrument was parallel to that symmetry axis. Finally, the authors interpreted the field data from a profile exhibiting resistive anomalies, corresponding to underground contamination, by using their forward code and a trial-and-error procedure. This profile had been previously characterized through the inversion of dipole–dipole electrical data. They considered that result to select their starting multilayered model. They obtained a good correlation between the EMI data and the synthetic response of the final mu-ltilayered model. Besides, this model is consistent with the image of the electrical inversion. During the modeling process, the method showed to be practical and versatile and to have a good convergence.
机译:双线圈频域电磁感应(EMI)系统通常用作掩埋金属物体的检测器,但它们也越来越多地用于环境目的,例如检测污染物羽流和考古勘探。通常,通过可视化同相和正交分量以及应用一维反演方法直接分析数据。此外,还存在基于有限差分技术的三维(3-D)正向和反向建模代码,但是这些方法由于其在实际地球物理情况下的计算成本仍然很高而没有被常规应用。对于二维(2-D)结构,计算成本显着降低,因为此问题不是3-D,而是2.5-D。近年来,基于有限元技术的2.5-D方法很少公开,但对于电偶极子源而言。在本文中,作者提出了一种基于Rayleigh-Fourier展开的2.5维正向建模算法,用于计算具有不规则边界的二维多层地球对磁偶极子源的响应。使用该代码,作者在环境研究中对土壤模型的双线圈频域EMI响应进行了数值模拟。他们考虑了一个埋入的非金属物体,该物体相对于宿主介质具有导电性,并针对发射器和接收器线圈的不同方向计算了其响应。用于检测和表征此物体的最佳分辨率对应于以下配置:发射器和接收器偶极子的轴平行于地面并垂直于掩埋物体的对称轴,而仪器的轴则平行于对称轴。最后,作者通过使用他们的前向代码和反复试验程序,从表现出与地下污染相对应的电阻异常的剖面中解释了现场数据。以前通过偶极子-偶极子电数据的反演来表征该剖面。他们考虑了该结果,以选择其初始多层模型。他们在EMI数据和最终多层模型的综合响应之间获得了良好的相关性。此外,该模型与电反演的图像是一致的。在建模过程中,该方法显示出实用性和通用性,并且具有良好的收敛性。

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