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《Progress In Geophysics》 2005-01
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Analysis of numerical dispersion in wave-field simulation

WU Guo-chen 1, 2 , WANG Hua-zhong 1 (1. Laboratory of Marine Geology under Education Ministry, Tongji University, Shanghai 200092, China; 2. College of Earth Resource and Information, University of Petroleum, Dong Ying 257061, China)  
It is well known that finite-difference simulation of elastic wave equation is very important for us to recognize the regular pattern in propagation of seismic wave、perform research of seismic attributes、implement geological interpretation of seismic data and develop the resources of the earth. Although they have been widely implemented for wave extrapolation in modeling and migration, finite-difference schemes for numerically solving the wave equation suffer from undesirable ripples, so-called numerical dispersion. The numerical dispersion interferes with the seismic modeling seriously and decreases the precision of simulation. Here, we discuss what causes numerical dispersion in simulation of elastic wave in TI media according to high-order finite-difference method of staggered grid and present method and strategy to suppress finite-difference errors. For eliminating the numerical dispersion of simulation, we can use high-order finite-difference equation instead of low-order finite-difference equation to improve the precision of simulation; through using the dispersion relation of TI media, finite-difference operators are implemented with correction; the flux-corrected transport (FCT) method, commonly used in hydrodynamics for conservative equations, can then be used in solving elastic wave equations of TI media; for avoiding both space-grid dispersion and time-grid dispersion, is high-order finite-difference operator applied not only to space differentials but also to time differentials.
【CateGory Index】: P631.4
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