| 非均匀介质电场的逐次逼近解法和直流电测井的几何因子 |
| |
| 引用本文： | 张庚骥.非均匀介质电场的逐次逼近解法和直流电测井的几何因子[J].地球物理学报,1980,23(2):183-196. |
| |
| 作者姓名： | 张庚骥 |
| |
| 作者单位： | 华东石油学院 |
| |
| 摘 要： | 本文讨论了介质不均匀性对场的相互作用,用微扰法求出了一系列修正项。这些修正项把均匀介质的电场逐步修改成非均匀介质的电场。随着所含修正项数的增多,所得结果逼近真实值的精度也增加,达到任何预先给定的标准。用一个其严格解已知的例子验证了本方法的正确性。定义几何因子为视电阻率对电导率的泛函微商。利用一级几何因子,我们推导出了径向和轴向几何因子。前者Roy和Dhar已经导出,与我们的结果差一常系数。轴向几何因子可用于直流电测井的数字解释。
|
| 关 键 词： | 几何因子 逐次逼近解法 非均匀介质 横向测井 极子 直流电 电场 简并 异侧 修正项 |
| 收稿时间： | 1978-08-29 |
SUCCESSIVE APPROXIMATION OF ELECTROSTATIC FIELD JN INHOMOGENEOUS MEDIUM AND THE GEOMETRICAL FACTORS OF ELECTRIC LOGGING |
| |
| Zhang Geng-ji.SUCCESSIVE APPROXIMATION OF ELECTROSTATIC FIELD JN INHOMOGENEOUS MEDIUM AND THE GEOMETRICAL FACTORS OF ELECTRIC LOGGING[J].Chinese Journal of Geophysics,1980,23(2):183-196. |
| |
| Authors: | Zhang Geng-ji |
| |
| Institution: | East China Petroleum Institute |
| |
| Abstract: | A successive approximation method solving electrostatic field of inhomogeneous medium is proposed, which yields results with increasing accuracy when the number of correction terms increases. The method is verified with a simple example. Geo-metrical factors are defined as the functional derivatives of apparent resistivity with rcspect to conductivity. As in induction logging, we derived radial and axial geo-metrical factors. The integrated radial geometrical factor plotted against L/d is the approximation of the departure curve. Comparasons between them are provided to show to what an extent the approximation is good. |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《地球物理学报》浏览原始摘要信息 |
| 点击此处可从《地球物理学报》下载免费的PDF全文 |
