基频、占空比和波形重复对 TEM 响应的影响:深埋导体模型的启示

GEOPHYSICS Pub Date : 2024-04-10 DOI:10.1190/geo2023-0671.1
Jianhui Li, Yao Wang
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摘要

在瞬态电磁(TEM)方法中,磁场及其时间导数的记录数据受到发射电流波形的影响。这些波形的特征参数包括接通、稳定和关断阶段的持续时间,以及基频、占空比和波形重复。全波形效应包括在 TEM 响应中观察到的所有抵消效应,这些效应是由于使用了步进关闭或步进开启波形以外的波形而产生的。为了解决这些复杂问题,我们开发了一种用于 TEM 方法的三维正向建模求解器,能够计算 TEM 响应,同时考虑到基频、占空比和波形重复等实际波形。通过使用深埋水平和垂直导体模型进行数值实验,研究了这些参数对磁场及其时间导数的影响。结果表明,随着波形周期的增加,在本研究提出的模型中,对于电导率为 1000 S/m 或更高的完美导体,磁场的探测和分辨能力有显著提高。然而,磁场时间导数的改进却微乎其微。有趣的是,磁场及其时间导数的改善并没有随着导体电导率的增加而呈现一致的趋势。此外,在磁场及其时间导数数据中还发现了一种新的等效现象。结果还表明,随着波形重复次数的增加或占空比的减小,在一个周期内的两个关断时间阶段所记录的 TEM 响应之间的差异会逐渐减小。然而,随着波形重复次数的增加或占空比的降低,全波形对 TEM 响应的影响变得更加明显,尤其是对磁场的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Effects of base frequency, duty cycle, and waveform repetition on TEM responses: Insights from models of a deep-buried conductor
In transient electromagnetic (TEM) methods, the recorded data for both the magnetic field and its time derivative are influenced by the waveforms of the transmitting current. These waveforms are characterized by parameters such as the durations of the turn-on, steady, and turn-off stages, as well as the base frequency, duty cycle, and waveform repetition. The full-waveform effects encompass all counteracting effects observed in TEM responses that arise from using a waveform other than a step-off or step-on waveform. To address these complexities, a 3D forward-modeling solver was developed for TEM methods, capable of calculating TEM responses while considering realistic waveforms with considerations for base frequency, duty cycle, and waveform repetition. The effects of these parameters on the magnetic field and its time derivative were investigated through numerical experiments using models involving deep-buried horizontal and vertical conductors. The results indicated that as the waveform period increases, there is a significant improvement in the detection and discrimination capability of the magnetic field for perfect conductors with a conductivity of 1000 S/m or higher in the models presented in this study. However, the improvement in the time derivative of the magnetic field is minimal. Interestingly, the improvement in both the magnetic field and its time derivative does not show a consistent trend as the conductor conductivity increases. In addition, a novel equivalence phenomenon was uncovered in both the magnetic field and its time derivative data. The results also suggested that as the number of waveform repetitions increases or the duty cycle decreases, the discrepancies between the recorded TEM responses at the two off-time stages within a single period gradually diminish. However, the influence of the full waveform on the TEM responses becomes more pronounced with an increasing number of waveform repetitions or a decrease in the duty cycle, especially for the magnetic field.
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