Determining finite difference weights for the acoustic wave equation by a new dispersion-relationship-preserving method

作者：Liang, Wenquan^*; Wang, Yanfei; Yang, Changchun

来源：Geophysical Prospecting, 2015, 63(1): 11-22.

DOI：10.1111/1365-2478.12160

• Acoustic wave equation
• Dispersion
• Modelling

Numerical simulation of the acoustic wave equation is widely used to theoretically synthesize seismograms and constitutes the basis of reverse-time migration. With finite-difference methods, the discretization of temporal and spatial derivatives in wave equations introduces numerical grid dispersion. To reduce the grid dispersion effect, we propose to satisfy the dispersion relation for a number of uniformly distributed wavenumber points within a wavenumber range with the upper limit determined by the maximum source frequency, the grid spacing and the wave velocity. This new dispersion-relationship-preserving method relatively uniformly reduces the numerical dispersion over a large-frequency range. Dispersion analysis and seismic numerical simulations demonstrate the effectiveness of the proposed method.

• 出版日期2015-1
• 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