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

Jin Qian; Shiguo Wu; Ruofei Cui

doi:10.1007/s00343-013-2074-6

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

Updated：2023-05-16

- Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for marine seismic reflection modeling
- Journal of Oceanology and Limnology Vol. 31, Issue 1, Pages: 169-177(2013)
- Affiliations：
  
  1. Key Laboratory of Marine Geology and Environment Institute of Oceanology Chinese Academy of Sciences
  2. School of Resource and Geoscience China University of Mining and Technology
- Author bio：
- Funds：
- DOI：10.1007/s00343-013-2074-6
  CLC：
- Online First：16 January 2013，
  
  Published：2013
- Accepted：
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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
DOI：

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 DOI：

摘要

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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Keywords

references

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