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《Progress in Geophysics》 2007-03
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High precision finite difference operators for qP wave equation in VTI media

WU Guo-chen,LIANG Kai(College of Geo-Resources and Information,China University of Petroleum(East China),Dongying 257061,China)  
Finite-difference method for wave equation is widely implemented in seismic wavefield numerical simulation.Finite-difference method has inherent numerical dispersion,which reduces the accuracy and resolution of seismic wavefield simulation.In order to decrease the numerical dispersion of conventional finite-difference operators,we present high precision finite-difference operators of qP wave equation in frequency–space domain for seismic wavefield numerical simulation in VTI media,and obtain the optimal coefficients of high precision finite-difference operators according to the Gauss-Newton method in optimization theory.We analyze dispersion relation accuracy of normalized phase velocity using conventional finite-difference operators and high precision optimal finite-difference operators separately,and do finite-difference numerical simulation for qP wave in homogenous isotropic media and VTI media.The results of dispersion relation accuracy analysis and numerical simulation indicate that optimal finite-difference operators have high precision in wavefield numerical simulation,and can efficiently decrease the numerical dispersion in conventional finite-difference numerical simulation,and improve accuracy of the finite-difference operators,which can provide the foundation of qP wave simulation in frequency–space domain in VTI media.
【CateGory Index】: P631.4
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