吉林大学学报(地球科学版) ›› 2017, Vol. 47 ›› Issue (4): 1255-1267.doi: 10.13278/j.cnki.jjuese.201704301
李光1,2,3, 渠晓东1,2,3, 黄玲1,2, 方广有1,2
Li Guang1,2,3, Qu Xiaodong1,2,3, Huang Ling1,2, Fang Guangyou1,2
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。
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