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提出一种基于逐次逼近解法的选代反演算法，对并间地层电导率的构造进行成像．该方法用一阶Ｂｏｒｎ近似将积分方程线性化，得到对电导率分布的初始估计，在选代反演中用高阶Ｂｏｒｎ近似对井间地层电导率构造进行更精确的估计．应用该方法还可以对井间电子率分布进行二次成像，从而使成像分辨率更为准确．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，且计算效率相当．
An iterative approximation-based alternative inversion algorithm is proposed to image the formation of intercontinental conductivity. In this method, the first order Born approximation is used to linearize the integral equation to get an initial estimate of the conductivity distribution. In the alternative inversion, a higher-order Born approximation is used to estimate the conductivity of the crosswell formation more accurately. The method can also be used for secondary imaging of the crosswell electron density distribution, so that the imaging resolution is more accurate. 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 quite good.