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为了研究聚焦型激发极化测井方法， 利用恒稳场和似稳场本质上类似于静电场的特征， 从而应用电流密度连续性方程和电位的连续性等条件建立了直流环源的多层径向阶跃媒质电场的数理模型。首先用等效电阻率法给出了全空间激发极化电位分布的解析表达式， 然后建立了一次场和激发极化总场的微分方程及其边界条件。进而利用有限元法直接求出激发极化电场分布的数值解。
In order to study the focus-induced polarization logging method, the steady-state field and the quasi-stationary field are similar in nature to those of the electrostatic field. Therefore, by using the current density continuity equation and the continuity of potential, Mathematical Model of Radial Stepped Electric Field. Firstly, the analytical expression of the full-field polarization potential distribution is given by the equivalent resistivity method. Then, the differential equations of the first field and the total excited polarization field and their boundary conditions are established. Then the numerical solution of the excitation polarization field distribution is obtained directly by the finite element method.