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Staggered-Grid Finite Difference Method with Variable-Order Accuracy for Porous Media
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The 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, and low-order finite difference operators are adopted for high-velocity regions.
Dispersion analysis and modeling results demonstrate that the proposed SFD method can decrease computational costs without reducing accuracy.
American Psychological Association (APA)
Gao, Jinghuai& Zhang, Yijie. 2013. Staggered-Grid Finite Difference Method with Variable-Order Accuracy for Porous Media. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031698
Modern Language Association (MLA)
Gao, Jinghuai& Zhang, Yijie. Staggered-Grid Finite Difference Method with Variable-Order Accuracy for Porous Media. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1031698
American Medical Association (AMA)
Gao, Jinghuai& Zhang, Yijie. Staggered-Grid Finite Difference Method with Variable-Order Accuracy for Porous Media. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031698
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031698