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

OriginalPaper | Updated：2023-05-16

- Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for marine seismic reflection modeling
- Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for marine seismic reflection modeling
- 海洋湖沼学报（英文） 2013年31卷第1期页码：169-177
- 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：
  
  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)
- DOI：10.1007/s00343-013-2074-6
  中图分类号：
- 网络首发：2013-01-16，
  
  纸质出版：2013
- Accepted：
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Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for marine seismic reflection modeling[J]. 海洋湖沼学报（英文）, 2013,31(1):169-177.

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
Accuracy of the staggered-grid finite-difference method of the acoustic wave equation for marine seismic reflection modeling[J]. 海洋湖沼学报（英文）, 2013,31(1):169-177. DOI： 10.1007/s00343-013-2074-6.

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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references

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