Transient electromagnetic field computations for polygonal loops on layered earths
Transient electromagnetic field computations for polygonal loops on layered earths
复制标题
DOI：
10.1190/1.1442345
复制
发表时间：
1987-06
期刊：
影响因子：
3.3
通讯作者：
A. Raiche
中科院分区：
文献类型：
--
作者：
A. Raiche
利用基于偶极子-偶极子响应函数的嵌套插值方法，计算了层状地面上大型多边形发射环的瞬变电磁响应（dB/dt的垂直分量和水平分量）。垂直磁偶极子的频域场使用Gaver - Stehfest方法对选定的Hankel变换变量值进行逆变换到时域。插值后，结果是反汉克尔变换（对选定的距离值）使用数字滤波器。在距离上的插值允许在一个或多个发射环的面积上对偶极子响应进行积分。随着时间的推移，内插得到阶跃电流响应，而阶跃电流响应又与发送端-接收器特性进行卷积，从而得到系统响应。这种方法可以鲁棒地计算几个发射回路（具有不同的信号参数）和几个接收器位置，所需的时间比一个lo所需的时间多一点。
The transient electromagnetic response (vertical and horizontal components of dB/dt) of a large polygonal transmitting loop on a layered earth is calculated using a nested interpolation scheme based on the dipole‐dipole response function. The frequency‐domain field of a vertical magnetic dipole is inverse Laplace transformed into the time domain, for selected values of the Hankel transform variable, using the Gaver‐Stehfest method. After interpolation, the result is inverse Hankel transformed (for selected values of distance) using digital filters. Interpolating over distance allows integration of the dipole response over the area of one or more transmitting loops. An interpolation over time gives the step‐current response, which in turn is convolved with the transmitter‐receiver characteristics to yield the system response. This method allows robust calculation of several transmitting loops (with different signal parameters) and several receiver positions in little more time than that required for one lo...