交错网格在伪谱法弹性波场数值模拟中的应用

2012年 51卷 第No. 5期
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Application of staggered grids in elastic wavefield modeling by pseudo-spectral method
1.中国地质大学(北京)能源学院,北京100083;2.中国石化国际石油勘探开发有限公司,北京100083;3.中原油田社
会统筹中心,河南濮阳457001;4.中原油田消防支队应急救援九大队,河南濮阳457001;5.中原石油化工有限责任公
司,河南濮阳457001
Wu Baonian,College of Resources,China University of Geosciences (Beijing),Beijing 100083,China
为消除伪谱法弹性地震波场数值模拟中因数值计算产生的干扰伪波,分析了伪谱法弹性波场数值计算产生干
扰伪波的原因,提出在伪谱法弹性波场数值模拟时引入交错网格,采用中心网格和交错网格联合计算的方式(即:采
用交错网格计算一阶导数,采用中心网格计算二阶导数)来克服波场计算过程中的数值振荡现象。模型计算结果表
明,该方法可以有效消除伪谱法模拟波场中的干扰伪波,使波场计算值稳定、准确、可靠。
In order to eliminate the interfere pseudo-wave caused by numerical computation in the elastic wavefield modeling by
pseudo-spectral method,we analyzed the reasons leading to the phenomena,and introduced staggered grids into elastic
wavefield modeling by pseudo-spectral method.The numerical oscillation in wavefield modeling is overcome by joint
computation of central grids and staggered grids (first-order spatial derivative is calculated by staggered grids and second-
order spatial derivative is calculated by central grids).Model testing result indicates that the method can effectively remove
the interfere pseudo-wave and make the modeling result stable,accurate and reliable.
波场模拟; 伪谱法; 交错网格; 弹性波动方程;
 wavefield modeling; pseudo-spectral method; staggered grids; elastic wave equation;
10.3969/j.issn.1000-1441.2012.05.003