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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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Authors and Affiliations

  1. School of Earth Resource and information, China University of petroleum (East China), Dongying, 257061, China

    Qizhen Du, Bin Li & Bo Hou

  2. CNPC Key Laboratory of Geophysical Exploration, China University of petroleum (Beijing), Beijing, 102202, China

    Qizhen Du, Bin Li & Bo Hou

Authors
  1. Qizhen Du
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  2. Bin Li
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  3. Bo Hou
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Corresponding author

Correspondence to Qizhen Du.

Additional information

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).

Du Qizhen, see biography and photo in the APPLIED GEOPHYSICS December 2008 issue, p 293.

Li Bin is a graduate in the School of Earth Resource and Information, China University of Petroleum (East China). He received a bachelor’s degree in Information and Computing Science from China University of Petroleum (East China) in 2006. Now his research work is the propagation theory of seismic waves.

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Du, Q., Li, B. & Hou, B. Numerical modeling of seismic wavefields in transversely isotropic media with a compact staggered-grid finite difference scheme. Appl. Geophys. 6, 42–49 (2009). https://doi.org/10.1007/s11770-009-0008-z

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  • DOI: https://doi.org/10.1007/s11770-009-0008-z

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