中国石油大学学报（自然科学版）2017，Vol.41Issue(6)：71-79,9.DOI:10.3969/j.issn.1673-5005.2017.06.008
优化的时空域等效交错网格有限差分正演模拟
Forward modeling by optimized equivalent staggered-grid finite-difference method for time-space domain
摘要
Abstract
Optimized finite-difference ( FD) coefficients can effectively suppress numerical dispersion errors ( phase velocity errors) in seismic wave modeling. Most optimized FD schemes used to solve seismic wave equation suppress only spatial but not temporal dispersion errors. In this paper, we develop an optimized FD scheme with high spatial and temporal accuracy for numerical scalar-wave modeling based on equivalent staggered grids. The final aim of optimized FD coefficients is to reduce phase velocity errors. We design an objective function for minimizing relative temporal and spatial dispersion errors of waves propagating in all directions. In addition, Newton method is applied to quickly solve this nonlinear problem. Dispersion anal-ysis has demonstrated that space dispersion easily appear in the low-velocity media, while time dispersion has more probabili-ty to occur in the high-velocity media. Modeling tests indicate that the proposed method ensures high accuracy not only in the time domain but also in the space domain. Compared with the traditional methods, the proposed method can improve numeri-cal accuracy without sacrificing computation efficiency.关键词
数值频散/时空优化差分系数/等效交错网格/地震波/正演模拟/牛顿法Key words
numerical dispersion/time-space domain optimized finite-difference operators/equivalent staggered grid finite-difference/seismic wave/forward modeling/Newton method分类
天文与地球科学引用本文复制引用
雍鹏,黄建平,李振春,李庆洋,刘培君,杨明伟,袁双齐,任英俊..优化的时空域等效交错网格有限差分正演模拟[J].中国石油大学学报（自然科学版）,2017,41(6):71-79,9.基金项目
山东省重大创新工程(2017CXGC1608,2017CXGC1602) （2017CXGC1608,2017CXGC1602）
中国科学院战略性先导科技专项(XDA14010303) （XDA14010303）
国际合作重点项目(41720104006) （41720104006）
国家油气重大专项课题(2016ZX05006-004,2016ZX05014001,2016ZX05002) （2016ZX05006-004,2016ZX05014001,2016ZX05002）
中央高校基本科研业务费专项(R1701023A) （R1701023A）
