摘要
利用体积分方程法模拟电偶源激发时均匀导电半空间频率域三维电磁响应.讨论了张量格林函数的计算,对于需要计算三重积分的张量格林函数电荷项一次部分,应用一种差分近似的方法求解,这种方法在保证计算精度的同时更加便于计算机实现;采用二次剖分的算法解决了计算张量格林函数时的奇异值问题;计算含有贝塞尔函数的积分项时,利用一种结合连分式展开的高斯求积代替常规的快速汉克尔变换方法,在确保正确计算的同时提高了计算精度.
3-D electromagnetic responses of the electric dipole can be modeled in homogeneous half-space by using volume integral equation method. The calculation of tensor Green＇s functions is discussed. We adopt difference approximate method for the charge primary part of tensor Green＇s functions. This method can not only ensure the calculation accuracy but also is more convenient for computation. Secondly the algorithm of secondary division can solve singular problem in calculation of tensor Green＇s functions. Using the Gaussian quadrature and continued fraction the integral with Bessel function is calculated.
出处
《地球物理学进展》
CSCD
北大核心
2006年第2期386-390,共5页
Progress in Geophysics
基金
国土资源部重点科技项目(20010212)资助
关键词
体积分方程法
三维电磁响应
张量格林函数
电偶源
volume integral equation method, tensor Green＇s function, 3-D EM responses, electric dipole
