| 二维波动方程约束反演的大范围收敛广义脉冲谱方法 |
| |
| 引用本文： | 冯国峰,韩波,刘家琦.二维波动方程约束反演的大范围收敛广义脉冲谱方法[J].地球物理学报,2003,46(2):265-270. |
| |
| 作者姓名： | 冯国峰 韩波 刘家琦 |
| |
| 作者单位： | 哈尔滨工业大学理学院数学系，哈尔滨 150001 |
| |
| 基金项目： | 国家自然科学基金项目 (1 9971 0 2 1 )，教育部博士专项基金项目 (1 9990 2 1 31 1 ) . |
| |
| 摘 要： | 针对二维波动方程，将大范围收敛的同伦 方法引入算子参数识别反演的过程，并结合求解不适定问题的Tikhonov正则化方法，设计了二维波动方程反演的大范围收敛广义脉冲谱方法，并利用测井资料进行了约束反演. 大量 的数值模拟结果以及抗噪实验均表明了方法的有效性.
|
| 关 键 词： | 二维波动方程反演 约束反演 广义脉冲谱方法 测井资料 |
| 文章编号： | 0001-5733(2003)02-0265-06 |
| 收稿时间： | 2001-9-14 |
| 修稿时间： | 2002-9-26 |
WIDELY CONVERGENT GENERALIZED PULSE SPECTRUM METHODS FOR 2-D WAVE EQUATION INVERSION |
| |
| FENG GUOFENG.WIDELY CONVERGENT GENERALIZED PULSE SPECTRUM METHODS FOR 2-D WAVE EQUATION INVERSION[J].Chinese Journal of Geophysics,2003,46(2):265-270. |
| |
| Authors: | FENG GUOFENG |
| |
| Institution: | Harbin Institute of Technology, Harbin 150001, China |
| |
| Abstract: | A Widely Convergent Generalized Pulse-Spectrum Technique (WCGPST) for 2-D wave equation is given in this paper, using widely convergent homotopy method applied to the inversion process of operator identification and Tikhonov regularization method for solving ill-posed problem. In order to improve the rate of analysis, the well log is introduced to the 2-D wave equation inversion. We combine constructed WCGPST with the Regularization-Gauss-Newton method. The 2-D wave equation inversion for two classes of point source and inhomogeneous medium is solved respectively. The corresponding numerical simulations indicate that the robustness of the methods is developed with the increase of the known information. |
| |
| Keywords: | 2-D wave equation inversion Constraint inversion Generalized pulse-spectrum technique Log well |
| 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 |
