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 英文篇名：Determination on the implicit finite-difference operator based on optimization method in time-space domain中文刊名：石油物探英文刊名：Geophysical Prospecting for Petroleum作者：梁文全 ; 王彦飞 ; 杨长春英文作者：Liang Wenquan ; Wang Yanfei ; Yang Changchun ; College of Resource Engineering ; Longyan University ; Key Laboratory of Petroleum Resources Research ; Institute of Geology and Geophysics ; Chinese Academy of Sciences中文关键词：声波数值模拟 ; 数值频散 ; 隐格式有限差分 ; 时间-空间域 ; 信赖域优化方法英文关键词：acoustic wave numerical simulation ; grid dispersion ; implicit finite difference scheme ; time-space domain ; trust region optimization出版日期：2015-05-25机构：龙岩学院资源工程学院;中国科学院地质与地球物理研究所中国科学院油气资源研究重点实验室;年：2015期：03出版单位：石油物探

Numerical simulation of acoustic wave equation is the basis of the reverse time migration and full waveform inversion.With some stability conditions,grid dispersion often exists because of the discretization of the time and the spatial derivatives in the wave equation.How to suppress the grid dispersion is therefore a key problem for finite difference approaches.Finite-difference scheme of partial differential equations are either explicit or implicit.Implicit finite difference scheme can suppress the grid dispersion further.Meanwhile,a new finite difference stencil was proposed to increase the time step while preserving the accuracy by previous researchers.Therefore,we propose to determine the optimal implicit finite difference operators in time-space domain with a new finite difference stencil.Dispersion analysis and seismic numerical simulation demonstrate that the accuracy of acoustic wave numerical simulation and the computation efficiency can be improved by the method.

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