| 多电极成像测井反演问题的数学模型和数学方法 |
| |
| 引用本文： | 谭永基,张建峰,李晶,储昭坦,谢树棋.多电极成像测井反演问题的数学模型和数学方法[J].高校应用数学学报(A辑),2000,15(3):317-325. |
| |
| 作者姓名： | 谭永基 张建峰 李晶 储昭坦 谢树棋 |
| |
| 作者单位： | 1. 复旦大学数学所,上海,200433
2. 江汉油田测井研究所,湖北,433123 |
| |
| 基金项目： | 中国科学院资助项目，19971022， |
| |
| 摘 要： | 多电极成像测井是一种新的电阻率测井技术，这一测井技术的电极系中包含有多个测量电极，可提供较多的测量信息，从而有助于用较高的分辨率确定地层电阻率参数。本文对这个问题建立了数学模型，且运用非线性优化等数学方法对多电极成像测井反演问题提出了数值求解方法。并利用一些数值结果证实了这些算法的有效性。
|
| 关 键 词： | 多电极成像测井 电阻率测井 反演问题 数学模型 |
| 文章编号： | 1000-4424(2000)03-0317-09 |
| 修稿时间： | 1998-11-17 |
MATHEMATICAL MODELING AND METHOD FOR MULTI-ELECTRODE IMAGERY WELL-LOGGINGS |
| |
| Tan Yongji,zhang Jianfeng,Li Jing,Chu Zhaotan,Xie Shuqi.MATHEMATICAL MODELING AND METHOD FOR MULTI-ELECTRODE IMAGERY WELL-LOGGINGS[J].Applied Mathematics A Journal of Chinese Universities,2000,15(3):317-325. |
| |
| Authors: | Tan Yongji zhang Jianfeng Li Jing Chu Zhaotan Xie Shuqi |
| |
| Institution: | Tan Yongji
,zhang Jianfeng
,Li Jing
(Mathematlcal Institute of Fudan Univ.,Shanghai 200433,China)Chu Zhaotan
,Xie Shuqi
(Jianghan,Well-logging Institute,Hubei 433123,China) |
| |
| Abstract: | The multi- electrode well- loggings problem is formulated into an inverse problem for a boundary value problem of quasi- harmonic equation with equi- valued boundary conditions.By least- squares fitting of the resistivity,this problem turns into an optimization problem which is solved by quasi- Newtonian technique.By use of adjoin- state method to calculate the gradient of the objective function,the computing time is reduced efficiently.Some numerical results show that this algorithm is accurate and effective. |
| |
| Keywords: | Inverse Problem Optimization Algorithm Imagery Well-logging Adjoint state Method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
