基于PEEC法的磁共振测井探头射频线圈电磁参数计算
作者:
作者单位:

重庆大学电气工程学院 重庆

基金项目:

国家自然科学基金资助项目(52077023)


Design of Magnetic Resonance Logging Probe Based on the Method of Partial Element Equivalent Circuit
Author:
Affiliation:

School of Electrical Engineering,Chongqing University,Chongqing,P. R. China

Fund Project:

Supported by the National Natural Science Foundation of China (Grant No. 52077023)

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    摘要:

    射频线圈交流阻抗的准确计算是优化磁共振测井探头性能的关键,由于探头线圈为柔性印刷电路板结构,厚度与外围尺寸跨度大,且与磁芯材料复合使用,难以采用传统有限元方法求解。针对射频线圈电磁参数计算精度低的情况,基于部分元等效电路法,提出了引入磁化强度变量的电磁建模方法;结合四面体网格剖分与矢量基函数离散,准确模拟不规则探头结构;建立磁芯材料的等效电路模型,进一步推导了线圈-磁芯复合结构的部分元等效电路网络。在0.1 ~ 2?MHz频率范围内进行数值仿真与实验验证,结果表明,射频线圈交流电阻和电抗计算误差分别小于5.10 %和3.24 %,与实测结果保持一致;与Q3D仿真结果对比,交流电阻计算误差降低30 %,验证了该模型对不规则几何形状的线圈-磁芯复合结构具有较高精度,为复杂磁共振测井探头的电磁性能建模与优化提供了可靠支撑。

    Abstract:

    Accurate calculation of the alternating-current (AC) impedance of radio-frequency (RF) coils is essential for optimizing the performance of magnetic resonance logging probes. The flexible printed circuit board structure of the probe coil, characterized by a large disparity between thickness and lateral dimensions and its integration with magnetic core materials, makes it difficult to apply conventional finite element methods effectively. To address the low accuracy in electromagnetic parameter computation, a modeling approach based on the partial element equivalent circuit (PEEC) method was proposed by introducing magnetization strength as a key variable. Tetrahedral mesh discretization and vector basis functions were used to accurately model the irregular probe structure. An equivalent circuit model of the magnetic core was established, and the PEEC network of the coil-core composite structure was subsequently derived. Numerical simulations and experimental validations were conducted over the frequency range of 0.1 ~ 2?MHz. The results show that the calculation errors of AC resistance and reactance are less than 5.10 % and 3.24 %, respectively, and are consistent with measured values. Compared with Q3D simulation results, the resistance error was reduced by 30 %, confirming that the proposed model achieves high accuracy in simulating irregular coil-core composite structures and provides reliable support for electromagnetic modeling and performance evaluation of complex magnetic resonance logging probes.

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  • 收稿日期:2025-02-13
  • 最后修改日期:2025-04-30
  • 录用日期:2025-04-30
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