用相位感应测井数据反演地层电阻率和介电常数  

Inversion of resistivity and permittivity using phase induction logging data

作　　者：邓小波[1] 聂在平[1] 赵延文[1] 杨峰[1] 

机构地区：[1]电子科技大学电子工程学院,成都610054

出　　处：《地球物理学报》2006年第2期604-608,共5页Chinese Journal of Geophysics

基　　金：国家自然科学基金项目(10176006);教育部科学技术研究重点项目(01154)资助.

摘　　要：基于相位感应测井的两个接收线圈获取的总场相位差和幅度比曲线,在二维轴对称非均匀介质中同时反演地层电阻率和介电常数.通过相位差和幅度比测井曲线提取地层纵向边界位置的初始值,利用测井响应方程和变分原理建立反演方程,然后采用共轭梯度(CG)法进行求解.对多层地层的电阻率、介电常数和纵向边界位置进行整体反演,模拟计算结果表明了方法的可行性.An inverse method is presented to inverse the permittivity dimensional axisymmetric inhomogeneous media. The measured data and resistivity of the formation in a twoof phase induction logging is the phase difference and amplitude ratio of the two receiving coils. The initial value of the formation geometrical parameter is determined by phase difference and amplitude ratio logging curves. The inverse equation is derived by the logging response equation and the variation principle. The conjugate gradient （CG） method is used to solve this inverse equation. Simultaneous inversion is performed to obtain the resistivity, permittivity and geometrical parameter of the multi-layer formation. The numerical results show that this method is effective.

关 键 词：变分原理 相位感应测井 数值模式匹配 反演 

分 类 号：P631[天文地球—地质矿产勘探]