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赵延文，聂在平，陈爱新．复杂介质环境中梯度电极系测井成像．测井技术，１９９８，２２（４）：２３７～２４０用变形玻恩迭代法处理了轴对称二维非均匀介质中梯度电极系测井数据的反演问题。在每次迭代过程中，采用了高效数值模式匹配的正演计算方法；利用其半解析的格林函数可半解析地求出格林函数的偏导数，并可以推导出离散非线性积分方程时积分运算的半解析表达式，大大提高了计算速度，改善了成像质量。
Zhao Yanwen, Nie Zaiping, Chen Aixin. Gradient electrode system logging imaging in complex media environment. LOGGING TECHNOLOGY, 1998,22 (4): 237-240 The inversion of logging data of gradient electrode system in an axisymmetric two-dimensional inhomogeneous medium is dealt with by the modified Bourdon iteration method. In each iteration, the forward calculation method of efficient numerical pattern matching is adopted. The semi-analytical Green’s function can be used to obtain the partial derivative of Green’s function semi-analytically and to derive the integral operation of discrete nonlinear integral equation Semi-analytical expressions, greatly improving the speed of calculation and improve the imaging quality.