Optimized difference coefficient of staggered compact finite difference scheme and 2D acoustic wave equation numerical simulation

被引：0
|
作者：
Wang Y. [1 ]
Wang P. [1 ]
Cai W. [1 ]
Gui Z. [1 ]
机构：
[1] Key Laboratory of Exploration Technologies for Oil and Gas Resources (Yangtze University), Ministry of Education, Wuhan, 430100, Hubei
来源：
Shiyou Diqiu Wuli Kantan/Oil Geophysical Prospecting | 2019年 / 54卷 / 05期
关键词：
Dispersion relation preservation; Numerical dispersion; Numerical simulation; Stability condition; Staggered compact finite difference;
D O I：
10.13810/j.cnki.issn.1000-7210.2019.05.011
中图分类号：
学科分类号：
摘要：
In this paper, we use the least square and Lagrange multiplier to perform difference coefficient optimization for the staggered compact finite difference scheme of first-order derivatives based on the idea of dispersion relationship preservation.Then, we analyze the optimized-scheme simulation accuracy, dispersion relation, and acoustic wave equation stability.The following understandings are obtained:A.For the same difference accuracy, the optimized staggered compact difference (OSCD) scheme uses two more nodes to calculate the first-order derivative than staggered compact difference (SCD) schemes; B.OSCD has a smaller truncation error and lower simulation dispersion than staggered difference (SD) schemes and SCD, so OSCD has higher calculation accuracy, and it is more suitable for coarse grid computing; C.For the same difference accuracy, the stability condition of OSCD for acoustic wave equation is slightly stricter than SD and SCD, and the applicable time grid size is slightly smaller.Wavefield numerical simulations of acoustic wave equation on uniform, horizontal-layered, and Marmousi models demonstrate that the proposed method is suitable for complex media and it has higher accuracy and efficiency. © 2019, Editorial Department OIL GEOPHYSICAL PROSPECTING. All right reserved.
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页码：1034 / 1045
页数：11
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