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

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