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魏宝君，张中庆，张庚骥．用迭代反演算法进行二维井间电磁成像．测井技术，１９９８，２２（６）：４０７～４１１提出了一种基于逐次逼近解法的迭代反演算法对井间地层电导率的构造进行成像。该方法应用一阶Ｂｏｒｎ近似将积分方程线性化，得到对电导率分布的初始估计，在迭代反演中应用高阶Ｂｏｒｎ近似对井间地层电导率构造作更精确的估计。数值计算结果表明，这种迭代反演算法与基于Ｂｏｒｎ近似、二阶Ｂｏｒｎ近似和扩展Ｂｏｒｎ近似的反演算法相比提高了成像分辨率，而计算效率相当。应用该方法还可以对井间电导率分布进行二次成像。
Wei Baojun, Zhang Zhongqing, Zhang Gengji. Iterative inversion algorithm for two - dimensional crosswell electromagnetic imaging. Logging Technology, 1998,22 (6): 407 ~ 411 An iterative inversion algorithm based on successive approximation method is proposed to image the structure of conductivity between wells. In this method, the first-order Born approximation is used to linearize the integral equation to obtain an initial estimate of the conductivity distribution. A high-order Born approximation is used to estimate the conductivity of the crosswell formation in the iterative inversion more accurately. The numerical results show that this iterative inversion algorithm improves the imaging resolution compared with the inversion algorithm based on Born approximation, second-order Born approximation and extended Born approximation, and the computational efficiency is comparable. This method is also used to secondarily image the crosswell conductivity distribution.