采用有限体积法实现了点源二维地电断面地一井、井一地激发极化法数值模拟。从电位满足的边值问题出发,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,尔后,通过对比两层大地模型的数值解与解析解验证了所编制程序的正确性,最后采用两种常规观测装置进行视电阻率/视极化率的正演,计算结果表明,联合井一地、地一井装置的激发极化测井对异常体的探测是有效的,视极化率的异常幅度较视电阻率大,并且异常体的垂向分辨率优于水平方向的分辨率。
The finite volume method is adopted to numerically simulate the point source in two-dimensional geoelectric section surface-to- borehole and borehole-to-surface induced po- larization method. Starting from the boundary value problem of potential, the discrete e- quations, matching each control volume for finite volume, can be derived. The pretreat- ment of iterative algorithm is used to solve the large sparse system of linear equations, and then, the forward modeling program is verified by comparison with the two analytic layers of earth model. Finally, two kinds of conventional observation device are employed to cal- culate the apparent resistivity and apparent polarizability, which show that the borehole-to- surface and surface-to-borehole device of induced polarization log is effective for detecting the abnormal body. The anomaly amplitude of apparent polarizability is larger than that of apparent resistivity, and the vertical resolution of abnormal body is also better than that of horizontal resolution.