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Staggered-Grid Finite DifferenceMethod with Variable-Order Accuracy for PorousMedia

发布时间:2025-04-30  点击次数:

发布时间:2025-04-30

论文名称:Staggered-Grid Finite DifferenceMethod with Variable-Order Accuracy for PorousMedia

发表刊物:Mathematical Problems in Engineering

摘要:Te numerical modeling of wave field in porous media generally requires more computation time than that of acoustic or elastic
media. Usually used finite difference methods adopt finite difference operators with fixed-order accuracy to calculate space
derivatives for a heterogeneous medium. A finite difference scheme with variable-order accuracy for acoustic wave equation has
been proposed to reduce the computation time. In this paper, we develop this scheme for wave equations in porous media based
on dispersion relation with high-order staggered-grid finite difference (SFD) method. High-order finite difference operators are
adopted for low-velocity regions, andlow-order finite difference operators are adopted for high-velocity regions. Dispersionanalysis
andmodeling results demonstrate that the proposed SFDmethod can decrease computational costs without reducing accuracy.

合写作者:Yijie Zhang, Jinghuai Gao

卷号:2013

页面范围:157071

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发表时间:2013-04-07

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