基于磁偶极子的频率域电磁系统几何误差分析

发布时间：2019-03-09 18:10

【摘要】：基于磁偶极子模型的频率域电磁法仪器在进行大地探测的过程中,由于收发线圈的安装误差、晃动以及材料的几何形变等因素影响,收发线圈的位置及姿态角发生变化,从而产生几何误差,而几何误差的定量分析对频率域电磁法仪器在制作、野外实验操作以及校正方面均具有很强的指导意义。本文根据误差来源的不同,将几何误差分为一次场误差和二次场误差两类;通过引入一次场张量矩阵和二次场张量矩阵,基于均匀大地模型正演得到9种线圈架构接收线圈接收到的一次场及二次场,并以微分的方式定量地分析了9种线圈架构收发线圈位置及姿态角变化引起几何误差的变化特征。对9种线圈架构的几何误差分析可知:在几何形变引入的一次场误差中,仅有PERyz、PERzy线圈架构不包含位置变化的一次项误差,仅有VCA、VCP及HCP线圈架构不包含姿态角变化的一次项误差;在几何形变引入的二次场误差中,PERzx、PERxz线圈架构最大,而VCA、VCP及HCP线圈架构受高度及收发距变化的影响很大,需要实时测量并进行校正,VCP线圈架构受收发距变化以及姿态角变化的影响最小。
[Abstract]:The frequency domain electromagnetism instrument based on the magnetic dipole model changes the position and attitude angle of the receiving and receiving coil due to the installation error of the receiving and receiving coil, the sloshing and the geometric deformation of the material in the course of geodetic detection. The quantitative analysis of geometric error is of great significance to the manufacture, field operation and correction of the frequency domain electromagnetism instrument, and the quantitative analysis of the geometric error is of great significance to the manufacture, field experiment operation and correction of the electromagnetic instrument in the frequency domain. According to the different sources of errors, the geometric errors are divided into two types: the primary field error and the quadratic field error. By introducing the primary field tensor matrix and the quadratic field tensor matrix, the primary and secondary fields received by nine coil structures receiving coils are obtained based on the forward modeling of the uniform geodetic model. The geometric errors caused by the change of position and attitude angle of nine kinds of coil structures are analyzed quantitatively by differential method. The geometric error analysis of nine kinds of coil structures shows that among the primary field errors introduced by geometric deformation, only the PERyz,PERzy coil architecture does not contain the first term error of the position change, and only the VCA, coil architecture contains the first term error of the position change. The VCP and HCP coil structures do not contain the first term error of attitude angle change. Among the quadratic field errors introduced by geometric deformation, the PERzx,PERxz coil architecture is the largest, while the VCA,VCP and HCP coil structures are greatly affected by the changes in height and transceiver distance, so they need to be measured and corrected in real time. The VCP coil architecture is the least affected by the change of transceiver distance and attitude angle.
【作者单位】：中国科学院电子学研究所;中国科学院电磁辐射与探测技术重点实验室;中国科学院大学;
【基金】：国家重大科研装备研制项目(ZDYZ2012-1-03-05)~~
【分类号】：P631.325

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