长方体全张量磁梯度的两种正演公式对比  

Comparison of two forward modeling formulas for full tensor magnetic gradient of cuboid

作　　者：钟炀 管彦武[1] 石甲强 肖锋[1] ZHONG Yang;GUAN Yan-wu;SHI Jia-qiang;XIAO Feng(College of Geo-exploration Science and Technology,Jilin University,Changchun 130026,China)

机构地区：[1]吉林大学地球探测科学与技术学院

出　　处：《世界地质》2019年第4期1073-1081,1090,共10页World Geology

基　　金：国家重点研发计划项目(2017YFC0602000)

摘　　要：全张量磁梯度测量是当前航空磁测的一个重要发展方向。正演是反演的基础,而长方体又是地下空间剖分的基本单元,故其正演公式具有重要的理论意义。笔者从前人给出的东南下坐标系和北东下坐标系的两种磁场三分量理论表达式出发,分别推导了长方体全张量磁梯度的计算公式。理论模型的两种正演结果对比表明,两种公式的计算结果完全相同,但北东下坐标系更实用。该坐标系下的长方体全张量磁梯度理论表达式更加简洁,文中相同模型体的正演节省约10%的时间。Full tensor magnetic gradient( FTMG) measurement is an important development direction of aeromagnetic measurement.Forward modeling is the foundation of inversion and the cuboid is the basic unit of underground space.So its forward modeling formula plays an important theoretical role.In this paper,the formulas for calculating the full tensor magnetic gradient of cuboids are derived based on two three-component magnetic field theoretical expressions which are in the east-south-down and the north-east-down coordinate system respectively.The comparison results of the theoretical model show that the calculation results of the two formulas are identical.However,the north-east-down coordinate system is more practical.The full tensor magnetic gradient formula of the cuboid under this coordinate system is more concise and saves about 10% of the time in the forward modeling of the same model.

关 键 词：全张量磁梯度 长方体 正演公式 

分 类 号：P631.222[天文地球—地质矿产勘探]