Electromagnetic modeling of three-dimensional bodies in layered earths using integral equations
Electromagnetic modeling of three-dimensional bodies in layered earths using integral equations
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DOI：
10.1190/1.1441562
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发表时间：
1983-12
期刊：
影响因子：
3.3
通讯作者：
P. Wannamaker;G. W. Hohmann;W. SanFilipo
中科院分区：
文献类型：
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作者：
P. Wannamaker;G. W. Hohmann;W. SanFilipo
我们提出了一种基于积分方程方法的算法来模拟层状地球中三维体的电磁响应。不均匀性被用脉冲基函数近似的等效电流分布所取代。利用适合于层状土的格林函数的电张量构造矩阵方程，求解各单元的矢量电流。随后，通过对散射电流上的电和磁张量格林函数进行积分，得到了散射场。张量格林函数的有效求值是减少计算时间的主要考虑因素。我们发现，定义二次格林函数的六个电汉克尔变换和五个磁汉克尔变换的制表和插值优于使用线性滤波器的任何直接汉克尔变换计算。对细长三维（3-D）物体和二维（2-D）物体的响应进行了比较。
We have developed an algorithm based on the method of integral equations to simulate the electromagnetic responses of three‐dimensional bodies in layered earths. The inhomogeneities are replaced by an equivalent current distribution which is approximated by pulse basis functions. A matrix equation is constructed using the electric tensor Green’s function appropriate to a layered earth, and it is solved for the vector current in each cell. Subsequently, scattered fields are found by integrating electric and magnetic tensor Green’s functions over the scattering currents. Efficient evaluation of the tensor Green’s functions is a major consideration in reducing computation time. We find that tabulation and interpolation of the six electric and five magnetic Hankel transforms defining the secondary Green’s functions is preferable to any direct Hankel transform calculation using linear filters. A comparison of responses over elongate three‐dimensional (3-D) bodies with responses over two‐dimensional (2-D) bodie...