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

作者：Qian Jin^*; Wu Shiguo; Cui Ruofei

来源：Chinese Journal of Oceanology and Limnology, 2013, 31(1): 169-177.

DOI：10.1007/s00343-013-2074-6

• marine seismic reflection modeling
• stability condition
• dispersion relation
• staggered grid finite-difference

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.

• 出版日期2013-1
• 单位中国矿业大学（北京）; 中国科学院海洋研究所