Abstract：The finite difference methods based on acoustic or elastic wave equation are very useful tools for wave-field numerical modeling or VSP data synthesizing.However,usual finite difference methods for solving these equations cause severe numerical dispersion to reduce the resolution of resultant wave field when insufficient samplings are taken in one wavelength.FCT finite difference method for easy solving the second-order acoustic and elastic wave equations in anisotropic medium has been formed by combining the flux-corrected transport(FCT) technique in hydrodynamics with the finite difference method that is used to solve wave equation system in anisotropic medium;and it suppresses effectively the numerical dispersion which occurs in usual finite-difference numerical modeling.The wave field snapshot and three-component VSP data synthesizing in transversely isotropic medium show that the good combination of FCT technique with finite difference method can eliminate the false ripples due to nurnerieal dispersion in coarse grid,and suppress satisfactorily the numerical solution unstability caused by big gradient change,discontinuity and so on.
