中国石油大学学报（自然科学版）2026，Vol.50Issue(1)：55-64,10.DOI:10.3969/j.issn.1673-5005.2026.01.006
弹性波紧致有限差分数值模拟及逆时偏移
Elastic wave forward modeling and reverse time migration via compact finite-difference method
摘要
Abstract
To improve the accuracy of seismic wave numerical simulation and elastic reverse time migration(ERTM),this pa-per develops a staggered-grid compact finite difference(CFD)scheme for solving the first-order stress-velocity elastic wave e-quations in two-dimensional isotropic media.Through theoretical derivation,the difference coefficients,dispersion characteris-tics,and stability conditions of the proposed scheme are obtained,and a comparative analysis is performed with conventional fi-nite difference(FD)schemes of the same order.The results demonstrate that,in the high-wavenumber range,the CFD scheme achieves significantly higher accuracy than same-order FD schemes and effectively suppress numerical dispersion.Notably,e-ven low-order CFD schemes can outperform high-order FD schemes in terms of accuracy.Although the stability condition of same-order CFD schemes is more restrictive(allowing a slightly smaller maximum time step),their ability to suppress numeri-cal dispersion is particularly pronounced in marine seismic models with low-velocity seawater layers,substantially improving the simulation accuracy of key wavefield components such as reflected waves.The seismic records generated using the CFD scheme based on the Marmousi model show markedly reduced dispersion,and the imaging results are closer to the reference standard.These results demonstrate the applicability of the CFD scheme to high-precision seismic wave simulation and ERTM,providing an effective solution for accurate seismic data processing in complex marine environments.关键词
海上地震勘探/紧致有限差分/正演模拟/弹性波逆时偏移Key words
offshore seismic exploration/compact finite difference/forward modeling/elastic reverse time migration分类
天文与地球科学引用本文复制引用
李三福,张健男,胡兵,孙德辉,陈亮,路依霖..弹性波紧致有限差分数值模拟及逆时偏移[J].中国石油大学学报（自然科学版）,2026,50(1):55-64,10.基金项目
国家自然科学基金面上项目(42374164) （42374164）
山东省创新团队及人才计划类项目(tstp20230615) （tstp20230615）
