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频率域井地电磁方法是指在井中供以交流电在地面接收电磁响应的一类电磁勘探方法。本文提出一种层状介质模型的井地电磁响应的推导方法,首先推导地表水平电偶极源在层状介质中垂向电磁场的响应公式,再沿垂直导线方向进行积分,根据互换原理得到地下垂直有限长导线电流源的井地电磁响应的解析公式。对于地下层状介质中任意深度和长度的垂直有限长线电流源的井地电磁响算法应该均可计算,在保证计算精度的前提下,具有计算量小、计算速度快的优点。论文给出采用不同方法计算均匀半空间模型的井地电磁响应的模拟结果的验证及计算精度和计算速度的对比,算例结果表明利用互换原理推导的井地电磁响应公式正确。
Frequency domain well to electromagnetic method refers to a well in the well to receive electromagnetic response on the ground by electromagnetic AC electromagnetic prospecting method. This paper presents a derivation method of well electromagnetic response in layered media model. Firstly, the response formula of vertical electromagnetic field in layered media is deduced, and then integrated along the vertical conductor direction, according to the exchange principle Analytical formula of well electromagnetism response in underground vertical limited finite wire current source. The well-ground EM algorithm with vertical finite length current source of any depth and length in layered media can be calculated. With the premise of ensuring the accuracy of calculation, it has the advantages of low computational complexity and high computational speed. In the paper, the simulation results of well electromagnetic response calculated by different methods and the comparison of calculation accuracy and calculation speed are given. The calculation results show that the formula of well electromagnetic response is derived by the principle of interchangeability.