超前探测巷道灾害性含导水构造的双频激电法

针对频率域煤巷超前探测灾害性含导水构造解析数学模型研究不足这一现状，基于空间电位拉氏方程和介质电阻率cole-cole模型，建立了煤巷超前探测灾害性含导水构造双频激电法的解析数学模型。通过模型分析，结果表明：双频激电法具有自动消除探测过程中对高低频电位相同干扰因素的影响，以及巷道空腔对探测结果的影响等优点；提出了利用所建解析数学模型，通过观测的视幅频率（PFE）数据快速确定灾害性含导水地质构造的厚度及其距掘进面的距离的方法。最后通过具体实施算例对所提方法进行了详细论证。

Dual-frequency induced polarization method for advanced detection on disastrous water-conducting or water-bearing structure in roadway

In order to overcome the problem with the inadequate study on frequency domain advanced detection on the disastrous water-conducting or water-bearing structure in roadway，a mathematical model of Dual-frequency induced polarization (IP) method was built based on the Laplace equation in spatial potential field and cole-cole model.Through model analysis，it manifests that the dual frequency IP method has the advantages of automatic elimination of the same interference factor for high and low frequency potential，and the influence of the tunnel cavity on the detection results.The thickness and position of water-conducting or water-bearing structure can be quickly obtained by PFE with the analytical model.Finally，a case study demonstrates the process of determining the thickness and position.