Numerical modeling of seismic wavefields in transversely isotropic media with a compact staggered-grid finite difference scheme

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Abstract To deal with the numerical dispersion problem, by combining the staggered-grid technology with the compact finite difference scheme, we derive a compact staggered-grid finite difference scheme from the first-order velocity-stress wave equations for the transversely isotropic media. Comparing the principal truncation error terms of the compact staggered-grid finite difference scheme, the staggered-grid finite difference scheme, and the compact finite difference scheme, we analyze the approximation accuracy of these three schemes using Fourier analysis. Finally, seismic wave numerical simulation in transversely isotropic (VTI) media is performed using the three schemes. The results indicate that the compact staggered-grid finite difference scheme has the smallest truncation error, the highest accuracy, and the weakest numerical dispersion among the three schemes. In summary, the numerical modeling shows the validity of the compact staggered-grid finite difference scheme.

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	DU Qi-Zhen
	LI Bin
	HOU Bo

Key words： transversely isotropic medium compact staggered-grid the first-order velocity-stress wave equations numerical dispersion wave field simulation

Received: 2008-07-26;

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This work is supported by the National High-Tech Research and Development Program of China (Grant No. 2006AA06Z202), the Open Fund of the Key Laboratory of Geophysical Exploration of CNPC (Grant No. GPKL0802) and the Graduate Student Innovation Fund of China University of Petroleum (East China) (Grant No. S2008-1), and the Program for New Century Excellent Talents in University (Grant No .NCET-07-0845).

Cite this article:

DU Qi-Zhen,LI Bin,HOU Bo. Numerical modeling of seismic wavefields in transversely isotropic media with a compact staggered-grid finite difference scheme[J]. APPLIED GEOPHYSICS, 2009, 6(1): 42-49.

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