Acoustic wave equation modeling based on implicit finite difference operators in the time-space domain

作者：Chen Dong^*; Liang Wen-Quan; Xin Wei^*; Yang Chang-Chun

来源：Acta Geophysica Sinica, 2016, 59(4): 1491-1497.

DOI：10.6038/cjg20160429

• Acoustic wave equation modeling
• Time-space domain
• Implicit finite difference formulation
• Dispersion relationship

Numerical simulation of acoustic wave equation is widely used to synthesize seismograms theoretically, and is also the basis of reverse time migration. With some stability conditions, dispersion often appears when time and the spatial derivatives in the wave equation are gridded. How to suppress such grid dispersion is therefore a key problem for finite difference approaches. Finite-difference formulations of partial differential equations are either explicit or implicit. Implicit formulations can suppress the grid dispersion further and the stability condition is better. Therefore, we propose to satisfy the time-space domain dispersion relationship in a proper range of frequencies. Dispersion analysis and seismic numerical simulation demonstrate the effectiveness of the proposed method.

• 出版日期2016-4
• 单位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