用多分量感应资料快速重建层状地层的纵横向电阻率和水平界面深度  

Simultaneously Fast Reconstruction of Resistivities and Interfaces in Horizontally Stratified TI Formation by Using Multicomponent Induction Well Logging Data

作　　者：汪宏年[1] 商庆龙[1] 朱天竹[1] 李舟波[2] 

机构地区：[1]吉林大学物理学院,长春130012 [2]吉林大学地球探测科学与技术学院,长春130026

出　　处：《吉林大学学报（地球科学版）》2012年第4期900-905,913,共7页Journal of Jilin University：Earth Science Edition

基　　金：国家自然科学基金项目(40874058)

摘　　要：研究建立用多分量感应测井资料同时快速重建水平层状横向同性介质中横向与纵向电阻率和层界面深度的有效方法。首先,利用电磁场摄动方程、电导率函数与模型参数关系方程以及模式匹配算法得到电磁场并矢Green函数的半解析解,建立多分量感应测井响应的Frèchet导数矩阵的快速算法;在此基础上,借助于规范化处理和奇异值分解技术,给出同时反演水平层状地层中各个地层的纵、横向电阻率以及层界面深度的迭代过程,实现理论合成资料与输入资料的最佳拟合。数值计算证明,该反演算法能够取得较满意的反演效果。We advance an efficient method to simultaneously reconstruct the horizontal and vertical resistivities and the interface depth each bed in the horizontally stratified transversely isotropic （TI） formation from the multicomponent induction well logging （MCIL） data. We first give the perturbed equation of electromagnetic （EM） fields, relation of conductivity function to the model parameters and the semi analytic solutions of EM tensor Green function provided by the numerical mode matching method in the horizontally layered TI formation, and further set up a fast algorithm of Frechet derivatives of multicomponent induction logging response with respect to all the formation resistivities and interfaces. Then, by combination of normalization and singular value decomposition （SVD） technique, we advance an iterative method to simultaneously reconstruct both horizontal and vertical resistivities and interface per bed so that we realize the best fit of the input data with the modeling logs. Numerical tests validate the algorithm.

关 键 词：感应测井 Frèchet导数矩阵快速算法 各向异性地层电阻率和层界面的同时反演 

分 类 号：P631.81[天文地球—地质矿产勘探]