A discontinuous collocated-grid implementation for high-order finite-difference modeling

A discontinuous collocated-grid implementation for high-order finite-difference modeling
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高阶有限差分建模的不连续并置网格实现

DOI:
10.1190/geo2015-0001.1
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发表时间:
2015-06
期刊:
影响因子:
3.3
通讯作者:
Yao, Zhen-Xing
Yao, Zhen-Xing
中科院分区:
地球科学2区
文献类型:
--
作者:
Fan, Na;Zhao, Lian-Feng;Gao, Ying-Jie;Yao, Zhen-Xing

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ABSTRACTThe discontinuous-grid method can greatly reduce the storage requirements and computational costs of finite-difference (FD) modeling for large-velocity-contrast models. However, traditional discontinuous-grid methods have to use interpolation when refining the wavefield in transition zones and would cause apparent artifacts. We have developed a new discontinuous collocated-grid scheme for high-order FD modeling. We refined the wavefield on a rotated coordinate system, where the interpolation is not required again. The horizontal and vertical spatial derivatives can be accurately converted into diagonal derivatives within the rotated coordinate system; thus, our scheme would be free of artifacts caused by improper interpolation. The ratio from coarse- to fine-grid spacing is restricted to 2n for our scheme, where n is a positive integer. Numerical experiments demonstrate that the proposed discontinuous collocated-grid scheme reduces the artificial reflections by about two orders of magnitude compar...
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