摘要
针对采用单发双收探头同时测量相位差和幅度比,测井响应与地层介电常数和电阻率两者都有关的电磁波测井资料反演问题,构造了其反演目标函数Jacobi矩阵J的快速算法.J直接给出了测井响应随地层参数变化的关系,利用J和它转置矩阵JT的有意义乘积J.JT和JT.J可以方便地对在非均质地层中测井响应特征和仪器的探测特性进行考察分析,为测井资料处理方法研究与仪器改进提供依据.
Since the most time-consumlng part of the inversion is the calculation of the Jacobi matrix, it is very important to perform these computations efficiently. In this paper, for the inversion problems of the electromagnetic wave logs which are the logging response （phase difference and amplitude ratio） dependent on both dielectric constant and conductivity in general, a fast algorithm of Jacobi matrix was advanced. The Jacobi matrix shows the change rate of a logging response to a formation parameter. With the Jacobi matrix J and its transpose J^T, we could define two significative matrix J- J^T and J^T. J. Based on J· J^T and J^T· J, the response characteristics and detecting characteristics of the electromagnetic wave logs in the 2-D inhomogenous formation can be understood. Especially the new knowledge could provide theoretically guidance to the inversion problems of the electromagnetic wave logs.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
2007年第2期642-650,共9页
Chinese Journal of Geophysics
基金
国家自然科学基金项目(49774241)
燕山大学博士基金项目(B121)资助
关键词
电磁波测井
反演
JACOBI矩阵
快速算法
特性分析
Electromagnetic wave logs, Inversion, Jacobi matrix, Fast algorithm, Characteristics analysis
