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High-order Staggered-grid Finite Difference Numerical Modeling for P-SV Wave Propagation in Heterogeneous Transversely Isotropic Media

HUANG Yi-jian(College of Geology Engineering and Geomatics,Changan University,Xi′an 710054,China)  
A set of stagger-grid finite-difference operations with 4-order temporal accuracy and high order spatial accuracy to one-order velocity-stress P-SV wave equations is presented in heterogeneous transversely isotropic(TI) media.First using the one-order velocity-stress P-SV wave equations,the first and third order temporal derivatives of particle velocity/stress are transformed into spatial derivatives of stress/particle velocity,thus only two former time-step wave fields are needed to compute wave fields for the current time step with the 4-order temporal accuracy finite-differente approximation.Then the high-order spatial finite-difference approximation is used to improve numerical modeling precise.High consistency between the modeling vertical seismic profiles(VSP) records and the field ones demonstrates well feasibility of the present technique.
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