| 高精度频率域弹性波方程有限差分方法及波场模拟 |
| |
| 引用本文： | 殷文,印兴耀,吴国忱,梁锴.高精度频率域弹性波方程有限差分方法及波场模拟[J].地球物理学报,2006,49(2):561-568. |
| |
| 作者姓名： | 殷文 印兴耀 吴国忱 梁锴 |
| |
| 作者单位： | 1.中国石油大学(华东)地球资源与信息学院，山东东营 257061 2 同济大学教育部海洋地质重点实验室，上海 200092 |
| |
| 基金项目： | 国家863高科技发展计划项目（2002AA614010-6）资助. |
| |
| 摘 要： | 有限差分方法是波场数值模拟的一个重要方法,但常规的有限差分法本身存在着数值频散问题，会降低波场模拟的精度与分辨率，为了克服常规差分算子的数值频散，本文采用25点优化差分算子，再根据最优化理论求取的优化系数，建立了频率空间域中弹性波波动方程的差分格式；为了消除边界反射，引入最佳匹配层，构造了各向同性介质中弹性波方程在不同边界和角点处的边界条件. 最后由弹性波波动方程和边界条件，通过频率域有限差分法，分别利用不同震源对弹性波在均匀各向同性介质、层状介质及凹陷模型中的传播过程进行了数值正演模拟，得到了单频波波场、时间切片和共炮点道集，为下一步的研究工作（如成像、反演）提供了研究基础.
|
| 关 键 词： | 正演模拟 优化差分算子 最佳匹配层 |
| 文章编号： | 0001-5733（2006）02-0561-08 |
| 收稿时间： | 2005-03-21 |
| 修稿时间： | 2005-03-212005-07-25 |
The method of finite difference of high precision elastic wave equations in the frequency domain and wave_field simulation |
| |
| YIN Wen,YIN Xing-Yao,WU Guo-Chen,LIANG Kai.The method of finite difference of high precision elastic wave equations in the frequency domain and wave_field simulation[J].Chinese Journal of Geophysics,2006,49(2):561-568. |
| |
| Authors: | YIN Wen YIN Xing-Yao WU Guo-Chen LIANG Kai |
| |
| Institution: | 1.College of Earth Resource and Information, University of Petroleum, Shandong Dongying 257061, China 2 Laboratory of Marine Geology under Education Ministry, Tongji University, Shanghai 200092, China |
| |
| Abstract: | The finite difference which is widely applied in seismic wave forward modeling, excursion and imaging, is an important method of wave-field numerical simulation. However, the routine finite difference has the problem of numerical dispersion which reduces precision and resolution of wave-field simulation. In order to overcome the numerical dispersion of routine finite-difference operators, 25-point optimized finite-difference operators are applied, and get the optimized coefl3cient on the basis of the optimization theory and establish a finite-difference format of elastic wave equations in the frequency-space domain. We introduce perfectly matched layer to attenuate the refection of the artificial boundary, and construct boundary and corner point conditions of elastic wave equations in isotropy media. Finally, according to elastic wave equations and boundary conditions, we respectively use different sources to implement simulation of elastic wave propagation in a homogenous isotropy medium, layered medium and a depression model with the frequency-domain finite-difference method. And a monochromatic wave field, time snapshot and common-shot point gathers are obtained, making the foundation for seismic imaging and inversion study. |
| |
| Keywords: | Forward modeling Optimized finite-difference operators Perfectly matched layer |
| 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 |
