| 瞬变电磁法矩形线圈自感的精确表达式 |
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| 引用本文： | 李文尧. 瞬变电磁法矩形线圈自感的精确表达式[J]. 地质与勘探, 2010, 46(1): 160-164 |
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| 作者姓名： | 李文尧 |
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| 作者单位： | 昆明理工大学地球科学系,昆明,650093 |
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| 摘 要： | 在瞬变电磁法(TEM)中,矩形线圈的自感参数主要用于局部导体晚期瞬变电磁场的等效计算和接收线圈固有过渡过程计算以及瞬变电磁仪器研制。目前,在瞬变电磁法教科书中,单匝矩形线圈自感计算公式都是近似的。本文通过积分方法,推导出了长方形及正方形单匝线圈自感的精确表达式以及正方形单匝线圈自感的近似计算公式。经计算,目前使用的近似公式与精确公式相比误差很大,当回线边长为5m时,误差最小为-39.2%,最大为238.85%;当回线边长为200m时,误差最小为-58.87%,最大为219.33%。本文推导的单匝正方形线圈自感近似公式与精确公式相比误差很小,当回线边长为5m时,误差为0.4%;当回线边长200m时,误差为0.26%。
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| 关 键 词： | 矩形线圈 自感 精确表达式 瞬变电磁法(TEM) |
| 收稿时间： | 2009-10-10 |
| 修稿时间： | 2009-11-13 |
Accurate Formula of Self-inductance Coefficient of Rectangular Coilin Transient Electromagnetic Methods |
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| LI Wen yao. Accurate Formula of Self-inductance Coefficient of Rectangular Coilin Transient Electromagnetic Methods[J]. Geology and Prospecting, 2010, 46(1): 160-164 |
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| Authors: | LI Wen yao |
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| Affiliation: | The Department of Geoscience in Kunming University of Science and Technology;Kunming 650093 |
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| Abstract: | In Transient electromagnetic methods(TEM),the self-inductance coefficient of rectangular coil has been applied to the equivalent method calculation of transient electromagnetic field late induced by partial conductive ore bodies and the calculation of natural transient process for receiving coil and the developing of TEM instruments.But,there are only several approximate formulas in current TEM textbooks.This paper has deduced the accurate formula of self-inductance coefficient for rectangular coil in singl... |
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| Keywords: | rectangular coil self-inductance accurate formula TEM |
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