计算阵列感应测井响应的积分方程法

开发了积分方程法计算阵列感应测井仪器各子阵列在轴对称二维地层模型中的响应。积分方程法的计算区域只是二维电导率异常剖面而不是整个剖面，可以大大提高计算精度。以纵向成层地层作为背景地层(即原状地层)，以所推导的纵向成层背景地层的Green函数为基础，考虑到模型中存在井眼和侵入带的情况，采用积分方程计算出接收线圈在这种地层模型中的感应电动势和实、虚部视电导率。

ltegel equation method of calculating array induction logging response

An integral equation method is developed in this paper, by which the response of every single array of array induction logging apparatus is calculated in the cylindrically symmetric 2D formation model. The computational region of integral equation method is only the 2D conductivity abnormal section not the whole section, and the computational accuracy is greatly enhanced. Longitudinal bedded formation is regarded as background formation, Greens function deduced of longitudinal bedded background formation is looked on as foundation, consider that there are borehole and invaded zone in the model, induced electromotive force and real conductivity, virtual conductivity of receiver coils are calculated in the model by using integral equation.