发布时间：2025-04-30

论文名称：TIime-space Domain High-order Staggered- grid Finite Difference Method for Porous Media

发表刊物：Journal of Porous Media

摘要：Finite difference methods have been used extensively in seismic modeling. However, these methods generally suffer from
numerical dispersion problems. In a porous medium, the numerical dispersion becomes even worse for the presence of
three different waves. Traditionally, the finite difference coefficients of spatial derivatives are designed in the space do-
main. In this paper, we develop a high-order staggered-grid finite difference (SFD) method, in which the finite difference
coefficients are calculated in both time and space domains. Based on the dispersion relation for the minimum velocity
in a porous medium, the SFD coefficients can be derived using a Taylor expansion. During this procedure, we propose
an efficient algorithm to compute SFD coefficients by efficiently solving the Vandermonde matrix when the order of
accuracy is large. Dispersion analysis indicates that the time-space domain SFD method has better accuracy compared
to the conventional SFD method; this proposed method also works better on the minimum velocity than the other two
velocities in porous media. The numerical results show that the time-space domain SFD method can significantly re-
duce the numerical dispersion of the slow P wave and the proposed method with large time step retains nearly the same
accuracy as the conventional SFD method with small time step.

合写作者：Yijie Zhang, Jinghuai Gao

卷号：17(9)

页面范围：785-795

是否译文：否

发表时间：2014-03-27