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针对地面激发-井中观测方式所得时间域谱激电响应开展研究.应用Gaver-Stehfest(G-S)逆拉氏变换法对Cole-Cole模型进行频率-时间转换,对比解析解与数字滤波解验证有效性,计算不同时刻和谱参数条件的极化电阻率;基于等效电阻率原理,采用有限差分法实现不同充电时刻地下激电场的数值模拟;建立含有典型极化体的三维地电模型,对不同参数条件的地-井方位观测方式所得时变响应进行正演模拟和视物性参数换算分析.结果表明:随时间变化的地-井观测响应及视电阻率、视充电率换算结果可反映目标体在不同观测时间的极化状态,不同谱参数的目标体所产生的时变响应存在差异;适当物性前提和观测条件下,通过时变响应曲线剖面和数值可识别不同类型极化体;改善观测条件可获得更强的异常响应,以更好的反映时间谱特征.
Aiming at the time-domain spectral response of the excitation-in-well observation, the Galer-Stehfest (GS) inverse Laplace transform is used to transform the Cole-Cole model from frequency to time, and the contrastive analytic solutions and digital filter solutions are validated , And calculate the polarization resistivity at different time and spectral parameters. Based on the equivalent resistivity theory, finite difference method is used to simulate the underground electric field at different charging times. A 3D geoelectric model with typical polarization body is established. The results show that the time-dependent ground-well observation response and apparent resistivity, apparent charge rate conversion results can reflect the target body In the polarization state at different observation times, the time-varying responses produced by the target with different spectral parameters are different; under the proper physical conditions and observation conditions, the different types of polarizers can be identified by the time-varying response curve sections and numerical values; Conditions can be more abnormal response, in order to better reflect the time spectrum characteristics.