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Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for marine seismic reflection modeling

  • Geology
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Abstract

Seismic wave modeling is a cornerstone of geophysical data acquisition, processing, and interpretation, for which finite-difference methods are often applied. In this paper, we extend the velocity-pressure formulation of the acoustic wave equation to marine seismic modeling using the staggered-grid finite-difference method. The scheme is developed using a fourth-order spatial and a second-order temporal operator. Then, we define a stability coefficient (SC) and calculate its maximum value under the stability condition. Based on the dispersion relationship, we conduct a detailed dispersion analysis for submarine sediments in terms of the phase and group velocity over a range of angles, stability coefficients, and orders. We also compare the numerical solution with the exact solution for a P-wave line source in a homogeneous submarine model. Additionally, the numerical results determined by a Marmousi2 model with a rugged seafloor indicate that this method is sufficient for modeling complex submarine structures.

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Authors and Affiliations

  1. Key Laboratory of Marine Geology and Environment, Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China

    Jin Qian  (钱进) & Shiguo Wu  (吴时国)

  2. School of Resource and Geoscience, China University of Mining and Technology, Xuzhou, 221116, China

    Ruofei Cui  (崔若飞)

Authors
  1. Jin Qian  (钱进)
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  2. Shiguo Wu  (吴时国)
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  3. Ruofei Cui  (崔若飞)
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Corresponding author

Correspondence to Jin Qian  (钱进).

Additional information

Supported by the National Natural Science Foundation of China (Nos. 41206043, 40930845), the Open Foundation of Key Laboratory of Marine Geology and Environment of Chinese Academy of Sciences (No. MGE2011KG07), the Knowledge Innovation Program of Chinese Academy of Sciences (No. KZCX2-YW-229), and the National Basic Research Program of China (973 Program) (No. 2009CB219505)

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Qian, J., Wu, S. & Cui, R. Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for marine seismic reflection modeling. Chin. J. Ocean. Limnol. 31, 169–177 (2013). https://doi.org/10.1007/s00343-013-2074-6

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  • DOI: https://doi.org/10.1007/s00343-013-2074-6

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