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在频率较低和忽略电磁效应的情况下,利用广义等效介质激电(GEMTIP)模型,实现了一种频率域中地井、井地2.5维复电阻率有限体积正演计算方法。从地井、井地电位满足的边值问题出发,将GEMTIP模型的频率响应引入到地电模型中,推导出有限体积各控制容积所满足的离散方程式;利用预处理迭代算法对大型稀疏线性方程组进行求解,通过对比两层大地模型的数值解与解析解,验证该算法的正确性;最后构建若干个典型多相态复合地电模型进行试算,并且在一定频段内计算所得场值异常分布明显。结果表明,联合地井、井地装置对基于GEMTIP模型的异常体探测是有效的。
Under the condition of low frequency and ignoring the electromagnetic effect, a generalized equivalent dielectric medium (GEMTIP) model is used to realize the finite volume forward modeling of well and well 2.5-D complex resistivity in frequency domain. Based on the boundary value problem of ground well and well ground potential, the frequency response of GEMTIP model is introduced into the geoelectric model to derive the discrete equations satisfied by the finite volume and control volume. The preconditioned iterative algorithm is used to solve the large sparse linear equations Finally, we build a number of typical multiphase composite geoelectric model for trial calculation, and in a certain frequency band calculated the value of the abnormal distribution of the field obvious. The results show that the combination of well-well and well-well device is effective for detecting abnormal body based on GEMTIP model.