在瞬变电磁勘探中,矩形回线的场响应不存在解析解。以往主要使用圆回线近似模拟矩形回线装置。为此,分别从两种源激发的一次场和地表感应的二次场的角度,分析圆回线近似模拟矩形回线可能带来的误差;尤其是对于二次场的计算,圆回线内场的计算采用超几何分布函数,矩形回线场以一定的比例系数作为控制因子进行电偶极子叠加计算。给出两种源框内场分布对比结果,增加了对圆回线和矩形回线装置的场分布的定量认识。
Rectangular-loop has been used widely for its easy arrangement. However, there is no analytic solution for rectangular loop Traditionally, the response of rectangular loop is calculated by circular loop. This paper analyzes the error which may be caused by th simulation for rectangular loop by circular loop in the light of primary field and induced secondary field. Especially, the secondary fie of circular-loop and rectangular-loop is calculated by means of hyper-geometric distribution function and superposed electric-dipole whose superposition principle is controlled by superposition coefficient. Lastly, this paper presents the comparison result, which e hances the quantitative understanding of this simulation.