① 中国石油大学(北京) CNPC物探重点实验室,北京 102249;
② 吉林大学地探学院波动理论与成像技术实验室,吉林 长春 130026;
③ 中海石油(中国)有限公司天津分公司,天津 300462;
4 北京市昌平区府学路18号中国石油大学234信箱,102249
Numeric simulation and precision analysis of acoustic equation by 2.5D Fourier transform
Li Fang1,4, Cao Si-yuan1, Sun Jian-guo2, and Yao Jian3
1. CNPC Key Lab of Geophysical Prospecting, China University of Petroleum, Beijing City 102249, China;
2. Lab of Wave Theory and Imaging Technology, College of GeoExploration Science and Technology of Jilin University, Changchun City, Jilin Province, 130026, China;
3. Tianjing Branch of CNOOC, Tianjing City, 300452, China
Abstract：On the basis of predecessor studies, the paper presented high-order finite-difference algorithm by 2.5D Fourier transform, deduced stability condition of 2.5D high-order difference operator, in which the precision analysis of 2.5D Fourier transform was highlighted, qualitatively analyzed the possible factors affecting the precision of 2.5D Fourier high-order finite-difference numeric solution and acquired the basic principle of modeling parameters selection ensuring the numeric solution of 2.5D finite-difference algorithm to approach the 3D analytic solution. The numeric simulation showed that under the appropriate constraint of limitation of max wavelength value, the usage of variable wavelength step and high-order difference operator are able to ensure the 2.5D numeric solution to meet the requirement of numeric simulation of 3D seismic wavefield. The algorithm is characterized by correct modeling results, high precision and economizing computational cost, which is very suitable to deal with large-scale seismic exploration issue.
李芳, 曹思远, 孙建国, 姚健. 2.5D傅氏变换法声波方程数值模拟及精度分析[J]. 石油地球物理勘探, 2009, 44(3): 276-281.
Li Fang, Cao Si-yuan, Sun Jian-guo, and Yao Jian. Numeric simulation and precision analysis of acoustic equation by 2.5D Fourier transform. OGP, 2009, 44(3): 276-281.
