桂林理工大学学报2024，Vol.44Issue(2)：225-231,7.DOI:10.3969/j.issn.1674-9057.2024.02.005
基于改进交错网格差分结构的地震波场正演模拟
Seismic wavefield forward simulation based on improved staggered grid finite difference stencil
摘要
Abstract
Finite difference(FD)discretization schemes are widely used in seismic wave numerical simulation.Compared with the conventional temporal second-order FD,temporal high-order FDs are more accurate and sta-ble.Implicit FD is more numerical than the explicit FD.Combining the advantages of temporal high-order meth-od and implicit FD,this paper develops an improved staggered grid FD(SFD)stencil to solve the three-dimen-sional first-order acoustic wave equation.In this approach,temporal high-order discretization is applied for com-pensating the accuracy of the conventional temporal second-order FD,and the spatial derivatives are approxima-ted by the implicit SFD.We further provide Taylor-expansion(TE)-based coefficients for temporal discretization scheme,and estimate implicit spatial coefficients using TE and least-square.Compared with the existing SFD methods,the improved method can adopt different grid intervals and diffrent operator lengths in different spatial directions.While ensuring simulation accuracy,it is more flexible.Numerical analyses and modeling examples have proven that the developed method can generate high-accuracy simulation results with shorter operator lengths.Therefore,it can be regeared as an effective tool for seismic wavefield simulation.关键词
数值模拟/波动方程/有限差分/矩形交错网格Key words
numerical simulation/wave equation/finite difference/rectangular grid分类
地质学引用本文复制引用
徐世刚,包乾宗,任志明..基于改进交错网格差分结构的地震波场正演模拟[J].桂林理工大学学报,2024,44(2):225-231,7.基金项目
国家自然科学基金项目(42004119) （42004119）
中央高校基本科研业务费专项(300102261306) （300102261306）
