在瞬变电磁的一维正演响应模拟中,常用的方法是先在频率域中求解,之后将结果转换到时间域。但该方法在晚期的计算精度通常不高,因此,使用5种频-时域转换方法(正、余弦变换的数值滤波算法,G-S逆拉普拉斯算法、正、余弦变换的折线逼近法)进行了计算,与解析解对比,得出余弦变换的数值滤波算法在晚期计算中精度最高的结论,并对这五种转换方法产生误差问题的原因进行了讨论和分析。本研究有利于瞬变电磁一维正演响应的高精度计算,使其在多维计算中得到更好的应用。
In the forward modeling of transient electromagnetic response,the commonly used method is to calculate the response in the frequency domain,and then the results were converted into the time domain. In this paper,five frequency-time conversion methods( Digital filtering algorithms of sine and cosine transform,G-S inverse Laplace algorithm,polygonal approximations method of sine and cosine transform) were used to conduct calculation. it is concluded that the digital filtering method based on cosine transform has the highest computing precision among these five methods,as shown by the comparison with the analytical algorithm,and the reasons of the error caused by these five kinds of conversion methods were discussed and analyzed,which is beneficial to the high precision calculation of one- dimensional forward modeling of transient electromagnetic response,so that these methods can be better applied to the calculation of multi-dimensional frequency-time conversion.