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电偶极子切分算法研究
引用本文:胡瑞华,林君,孙彩堂,刘长胜,周逢道.电偶极子切分算法研究[J].物探化探计算技术,2014(4):389-393.
作者姓名:胡瑞华  林君  孙彩堂  刘长胜  周逢道
作者单位:吉林大学仪器科学与电气工程学院;
基金项目:国家自然科学基金仪器专项(40727002);国家级基金(OSR-02-01);吉林大学农学部基金(4305050102RV)
摘    要:电偶源是研究电磁法探测原理中常被使用的一种主动源。在实际工作中,常采用供电导线向大地发射电流,当发射端与接收点距离远大于供电导线两极长度时,才可将供电导线看作是电偶极子。但在很多情况下并不满足此条件,使基于电偶极子的场计算公式不再适用,因此正反演中需要先将长导线源切分成若干个电偶极子,然后对各偶极子的场响应进行叠加。对此,这里研究并实现了将长导线源切分成多个电偶极子的算法,以二分法为原理的递归切分算法切分出的电偶极子数目相对较多;以穷举法为原理的切分算法在穷举步长较小(如0.1m)时能较准确地切分出电偶极子的位置。两种算法都可应用于长导线源正反演场的计算。

关 键 词:长导线源  电偶极子  切分算法  二分法  穷举法

Research on electric dipole segmentation algorithm
HU Rui-hua,LIN Jun,SUN Cai-tang,LIU Chang-sheng,ZHOU Feng-dao.Research on electric dipole segmentation algorithm[J].Computing Techniques For Geophysical and Geochemical Exploration,2014(4):389-393.
Authors:HU Rui-hua  LIN Jun  SUN Cai-tang  LIU Chang-sheng  ZHOU Feng-dao
Institution:(College of Instrument Science and Electrical Engineering, Jilin University, Changchun 130061, China)
Abstract:Electric dipole is a positive electrical current source which is usually used to research principles on electromagnetic prospecting method.We often introduce the power supply wire to transmit current towards the ground in actual jobs.When the distance between the transmitter and the receiver is far larger than the length of the power supply wire,which can be regarded as electric dipole.Howere,the condition of the power supply wire being electric dipole is not be satisfied in many case.This leads to formulas of calculating fields based on the electric dipole not be applicable.In this case,long wire source needs to be cut some electric dipoles,then to add every dipole's response.To solve the problem,the paper studied and realized algorithms to segment long wire source into some electric dipoles.The more electric dipoles can be got when to use the recursion algorithm based on the principle of binary search,the more accuracy positions of electric dipoles can be found when to use the algorithm based on exhaustion method if a smaller step chosen (for instance 0.1 meters).Both of the two algorithms can be applied for the calculating fields of long wire source in the forward and the inversion.
Keywords:long wire source  electric dipole  segmentation method  binary search  exhaustion method
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