过套管电阻率测井的地层电阻率快速反演算法

发布时间：2018-05-15 12:02

本文选题：过套管电阻率测井 + Jacobi矩阵　；参考：《地球物理学报》2016年06期

【摘要】：过套管电阻率测井是通过测量套管壁电势实现测量地层的视电阻率,基于传输线方程理论,针对层状地层,给出了套管壁电势、电流对地层横向电阻导数的微分方程(称Jacobi矩阵微分方程)及边界条件;利用Jacobi矩阵微分方程边值问题导出了过套管电阻率测井反演地层参数的Jacobi矩阵系数的解析表示,利用Marquardt方法实现了过套管测井的地层电阻率反演;通过计算对Jacobi矩阵的特性进行了探讨,并获得了较快的计算速度(因为Jacobi矩阵是用解析解表示的),反演结果与地层模型取得了较好的逼近.本文实现了过套管电阻率测井地层参数的Jacobi系数矩阵的快速计算及地层电阻率反演,为进一步开展电阻率测井数据处理提供了理论依据和快速反演算法.
[Abstract]:Through casing resistivity logging, the apparent resistivity of stratum is measured by measuring the potential of casing wall. Based on the theory of transmission line equation, the potential of casing wall is given for stratified formation. The differential equation (called Jacobi matrix differential equation) and boundary condition of the derivative of electric current to the lateral resistance of formation, the analytical expression of Jacobi matrix coefficient for inversion of formation parameters by using the Jacobi matrix differential equation boundary value problem is derived. The inversion of formation resistivity through casing logging is realized by using Marquardt method, and the characteristics of Jacobi matrix are discussed by calculation. The fast calculation speed is obtained (because the Jacobi matrix is represented by analytical solution, and the inversion result is approximated to the formation model). In this paper, the fast calculation of Jacobi coefficient matrix and inversion of formation resistivity of casing resistivity logging are realized, which provides theoretical basis and fast inversion algorithm for further development of resistivity logging data processing.
【作者单位】：北京印刷学院;中国科学院地质与地球物理研究所;
【基金】：北京市自然科学基金重点项目B类(KZ201510015015);北京市自然科学基金(4142016) 北京市教委项目(KM201510015009,KM201410015006,PXM2016_014223_000025)资助
【分类号】：P631.811

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