A new staggered grid finite difference scheme optimised in the space domain for the first order acoustic wave equation

作者：Liang, Wenquan; Wu, Xiu; Wang, Yanfei^*; Cao, Jingjie; Wu, Chaofan; He, Baoqing

来源：Exploration Geophysics, 2018, 49(6): 898-905.

DOI：10.1071/EG17088

• acoustic wave equation
• finite difference scheme
• finite difference time domain
• numerical dispersion
• staggered grid

Staggered grid finite difference (FD) methods are widely used to synthesise seismograms theoretically, and are also the basis of reverse time migration and full waveform inversion. Grid dispersion is one of the key problems for FD methods. It is desirable to have a FD scheme which can accelerate wave equation simulation while still preserving high accuracy. In this paper, we propose a totally new staggered grid FD scheme which uses different staggered grid FD operators for different first order spatial derivatives in the first order acoustic wave equation. We determine the FD coefficient in the space domain with the least-squares method. The dispersion analysis and numerical simulation demonstrated the effectiveness of the proposed method.

• 出版日期2018
• 单位龙岩学院; 中国科学院地质与地球物理研究所兰州油气资源研究中心; 中国科学院地质与地球物理研究所