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针对矩形大定源介绍了一种层状导电模型瞬变电磁响应的快速计算方法.其基本思想是,将大定源同线源用较少的有限大小方形回线叠加.在频率域,该叠加过程导出矩形大定源回线模型响应可以表示为一个标准的Hankel积分,叠加效应仅仅是相应Bessel函数的空间积分过程.瞬变电磁响应可以利用余弦变换由频率域响应获得.均匀半空间模型计算结果和解析解较为吻合,层状模型模拟结果符合物理规律,不同测点位置感应电动势的视电阻率具有很好的一致性.新方法误差只是来源于圆回线对小方形回线的等效误差.与均匀半空间解析结果比较,只用16个方形回线等效,相对误差就可以小于10~(-3).
Aiming at the rectangular fixed source, a fast method to calculate the transient electromagnetic response of the layered conductive model is introduced. The basic idea is to superimpose the source of the fixed source with less finite square of the size in the frequency domain Superposition process derivation Rectangular large fixed-source return model response can be expressed as a standard Hankel integral, superposition effect is only the corresponding Bessel function of spatial integration process Transient electromagnetic response can be obtained by the frequency domain response to the cosine transform Homogeneous half-space model The calculated results are in good agreement with the analytical solutions, and the simulation results of layered model are in accordance with the laws of physics. The apparent resistivities of the induced electromotive force at different measuring points are in good agreement. The error of the new method is only from the circular loop to the small square loop Compared with the results of uniform half-space analysis, the equivalent error can be less than 10 ~ (-3) using only 16 square loop lines.