| 二维视电阻率断面的快速最小二乘反演 |
| |
| 引用本文： | 张大海,王兴泰.二维视电阻率断面的快速最小二乘反演[J].物探化探计算技术,1999,21(1):2-13. |
| |
| 作者姓名： | 张大海 王兴泰 |
| |
| 作者单位： | 长春科技大学 |
| |
| 摘 要： | 快速最小二乘反演是以平滑限定的最小二乘方法为基础，是对二维视电阻率断面进行反演的一种方法。反演过程不需要提供初始模型，在首次迭代时使用一均匀介质地下模型作为初始模型，该模型的视电阻率偏导数值可以用解析法得到。在后面的迭代中，使用了拟牛顿法去修改每一次迭代的偏导数矩阵，避免了偏导数矩阵的直接计算，从而减少了计算时间和存储空间。同时运用牛顿矩阵校正技术解最小二乘方程组也减少了大量的计算时间。总之，该方
|
| 关 键 词： | 电阻率 层析成像 偏导数矩阵 最小二乘反演 |
RAPID LEAST-SQUARES INVERSION OF 2-D APPARENT RESISTIVITY PSEUDOSECTION |
| |
| Zhang Dahai,Wang Xingtai.RAPID LEAST-SQUARES INVERSION OF 2-D APPARENT RESISTIVITY PSEUDOSECTION[J].Computing Techniques For Geophysical and Geochemical Exploration,1999,21(1):2-13. |
| |
| Authors: | Zhang Dahai Wang Xingtai |
| |
| Institution: | Changchun University of Science and Technology |
| |
| Abstract: | Rapid least squares inversion is based on the smoothness constrained least square methods. In the first iteration, a homogeneous earth model is used as the starting model. Its apparent resistivity partial derivative values can be calculated analytically. For subsequent iteration, a quasi Newton method is used to estimate the partial derivatives so as to avoid the direct caculation of the partial derivatives and reduce a lot of the computing time and memory space. At the same time, the time taken to solve the system of normal equations for the least square method is also reduced by using matrix updating techniques associated with Broyden's quasi Newton method. Overall, this technique has many advantages, for example, fastness, free of configurement manner etc. |
| |
| Keywords: | resistivity tomography partial derivatives matrix quasi Newton method rapid least square inversion |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
