三维感应视电导率推导与地层参数分析

The Apparent Conductivity Deduction and Formation Parameter Analyses in Three-dimensional(3D) Induction Logging

基于三维感应电各向异性测量原理,详细推导了三维感应三线圈系9个分量的视电导率,分析了三维感应测井仪在各向异性地层中对水平电导率、垂直电导率、倾角以及方位角等地层参数变化时的敏感性特性。应用MATLAB软件对不同地层参数的9个分量视电导率仿真并绘制2D等高线图,描述和分析其响应变化趋势,可得出三维感应测井仪对视电导率在倾角、方位角、水平电导率以及垂直电导率在任意倾角和任意方位角下的变化都是敏感的,交叉分量具有相同的响应关系。

Based on the electricity anisotropy measuring theory of three-dimensional （3D） induction, detailed are the apparent conductivities of 9 components in the three-coil system of the three-dimensional induction logging and analyzed are the sensitivity characteristics of 3D induction logging in anisotropic formations for changing formation parameters such as horizontal conductivity, vertical conductivity, dip and azimuth. Simulated are the apparent conductivities of the 9 components and the 2D contour line map is ploted with MATLAB software about different formations components. By describing and analyzing the response trend, it is found that 3D induction logging tool is very sensitive to the apparent conductivity changes in the dips, azimuths, horizontal conductivity and vertical conductivity, and the cross-components have the same response relations with the dips and azimuths.