The Electromagnetic Response of a Conductive Inhomogeneity in a Layered Earth
The Electromagnetic Response of a Conductive Inhomogeneity in a Layered Earth
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DOI：
10.1190/1.2035909
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发表时间：
1976-12
期刊：
影响因子：
3.3
通讯作者：
J. Lajoie;G. West
中科院分区：
文献类型：
--
作者：
J. Lajoie;G. West
建立了一个数值模型来计算水平分层导电环境中有限薄导电板附近的三维电磁场。电磁源是一个矩形环路。将该问题表示为板中电场的积分方程组。然而，为了避免某些数值困难，实际的工作变量是一对标量势，它们表示平板中无散度和无旋度的电流，其值在矩形网格的结点处是已知的。然后将基本积分方程化成一组可用数值求解的线性方程组，模拟的情况是对图拉姆法的模拟。模型为导电半空间中的浅板和深板，导电层下绝缘主岩中的深板，导电层下导电主岩中的深板。在所有情况下，车牌的顶部都与外墙分离。
A numerical model has been constructed to determine the three‐dimensional electromagnetic fields in the vicinity of a finite, thin, conductive plate buried in a horizontally stratified, conductive environment. The EM source is a rectangular loop. The problem is formulated as an integral equation for the electric field in the plate. However, to avoid certain numerical difficulties, the actual working variables are a pair of scalar potentials which represent divergence‐free and curl‐free current flows in the plate, and whose values are known at the nodes of a rectangular grid. The basic integral equation is then reduced to a set of linear equations which can be solved numerically.The cases modeled are a simulation of the Turam method. The models were a shallow plate and a deep plate in a conductive half‐space, a deep plate in an insulating host rock under a conductive layer, and a deep plate in a conductive host rock under a conductive layer. In all cases, the top of the plate was separated from the overbur...