| 积分法三维电阻率成像 |
| |
| 引用本文： | 底青云,王妙月.积分法三维电阻率成像[J].地球物理学报,2001,44(6):843-851. |
| |
| 作者姓名： | 底青云 王妙月 |
| |
| 作者单位： | 中国科学院地质与地球物理研究所,北京,100101 |
| |
| 基金项目： | 九五国家重点科技攻关资助项目 ( 96 -91 4 -0 4 -0 2 )，院重点资助项目 (KZ95 2 -S1 -4 1 1 ) |
| |
| 摘 要： | 二维或是三维电阻率反演成像研究,最关键的环节是在反演系数矩阵即敏感矩阵(或雅可比矩阵)的求取上.本文从微分方程的积分解出发,推导了表达式极为简单的三维雅可比系数矩阵,构造了成像方程.根据反演方程系数的稀疏特征,采用改进的降维高斯赛德尔迭代法来求解该反演方程,并通过内外迭代的结合,对大型稀疏欠定方程能很快收敛,得到可靠的解答.合成数据模型结果及实际资料的成像结果表明积分法不但实现起来极容易,成像结果的精度也相当高.
|
| 关 键 词： | 积分法 雅可比矩阵 三维电阻率成像 |
| 文章编号： | 0001-5733(2001)06-0843-09 |
| 收稿时间： | 2000-09-14 |
3-D RESISTIVITY TOMOGRAPHY BY INTEGRAL METHOD |
| |
| DI QING,YUN\ WANG MIAO,YUE.3-D RESISTIVITY TOMOGRAPHY BY INTEGRAL METHOD[J].Chinese Journal of Geophysics,2001,44(6):843-851. |
| |
| Authors: | DI QING YUN\ WANG MIAO YUE |
| |
| Institution: | Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100101, China |
| |
| Abstract: | The key point of 2 D or 3 D resistivity tomography imaging is to get elements of sentivity matrix or Jacobi matrix. In this paper, based on integrated solution of differential equation, we derived simple and analytical expression of elements of sentivity matrix and formed imaging equations. According to sparse feature of the matrix, we use Gauss Sadel resolution method to solve such equations and use inner and outer iteration and multi curent poles techniques to improve the quality of image of resistivity structures. The model and field data results indicate that the method presented here is easy and the result resolution is high. |
| |
| Keywords: | Integral method Jacobi matrix 3 dimension resistivity tomography |
| 本文献已被 CNKI 维普 万方数据 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 |
