| 无单元法用于地震波波动方程模拟与成像 |
| |
| 引用本文： | 贾晓峰,胡天跃,王润秋.无单元法用于地震波波动方程模拟与成像[J].地球物理学进展,2006,21(1):0-0. |
| |
| 作者姓名： | 贾晓峰 胡天跃 王润秋 |
| |
| 作者单位： | 1. 北京大学地球与空间科学学院,北京,100871
2. 石油大学(北京)资源与信息学院,北京,102200 |
| |
| 基金项目： | 国家自然科学基金项目(40574050,40274041,40521002)资助 |
| |
| 摘 要： | 波动方程方法是解决地震正反演问题的基本工具之一.无单元法作为一种新兴的偏微分方程数值计算方法,已经在材料力学、热传导等领域取得了显著的成功.由于抛弃了单元的概念及采用滑动最小二乘的拟合方法,使得无单元法具有前处理简单、精度高、独立变量解高次连续等优点.本文首先介绍无单元法求解波动方程的原理,指出影响其精度的主要因素.在算例的基础上详细讨论了无单元法用于实际波动问题的效果,并进一步尝试利用无单元法进行地震波数值模拟和反演成像的研究.模型计算的结果表明,无单元法能够较好的处理地震模拟和成像问题,精度和稳定性是令人满意的.
|
| 关 键 词： | 无单元法 滑动最小二乘 地震波模拟和成像 精度 |
| 文章编号： | 1004-2903（2006）01-0011-07 |
| 收稿时间： | 2005-03-10 |
| 修稿时间： | 2005-06-20 |
Wave equation modeling and imaging by using element-free method |
| |
| JIA Xiao-feng,HU Tian-yue,WANG Run-qiu.Wave equation modeling and imaging by using element-free method[J].Progress in Geophysics,2006,21(1):0-0. |
| |
| Authors: | JIA Xiao-feng HU Tian-yue WANG Run-qiu |
| |
| Institution: | 1. Departmentof Geophysics,Peking University,Beijing 100871,China; 2. Schoolof Resources and Information Technology, University of Petroleum ,Beijing 102200,China |
| |
| Abstract: | Wave equation method is one of the fundamental techniques for seismic modeling and imaging.In this paper we discuss a rather new numerical method-the Element-Free Method(EFM),which has demonstrated quite successful in elasticity,heat conduction and fatigue crack growth problems.The key point of this method is the absence of elements,which means potential cost savings.Besides,the Moving Least Squares(MLS) approximation in the EFM design leads to high accuracy and smooth derivatives.The basic principle and a simple example of vibrant film are discussed in details in this paper.Finally,some more examples will be given to show the good performance of EFM in seismic modeling and imaging problems. |
| |
| Keywords: | element-free method moving least squares seismic modeling and imaging accuracy |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《地球物理学进展》浏览原始摘要信息 |
| 点击此处可从《地球物理学进展》下载免费的PDF全文 |
|
