Free-surface boundary condition in finite-difference elastic wave modeling
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Title
- Free-surface boundary condition in finite-difference elastic wave modeling
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Author(s)
- Min, DJ; Shin, C; Yoo, HS
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Alternative Author(s)
- 민동주; 유해수
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Publication Year
- 2004-02
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Abstract
- We design a new frequency-domain, finite-difference approach, based on a displacement formulation, which correctly describes the stress-free conditions at a free surface. In the conventional, displacement-based finite-difference method, we assign both displacements and material properties such as density and Lame constants to nodal points (a node-based grid set), whereas in our new finite-difference method, displacements are still defined at nodal points but material properties within cells (a cell-based grid set). In our new finite-difference technique using the cell-based grid set, stress-free conditions at the free surface are described by the changes in the material properties without any additional stress-free boundary condition. By conducting accuracy tests, we confirmed that the new second-order finite differences formulated in the cell-based grid set generate numerical solutions compatible with analytic solutions within the range of errors determined by dispersion analysis; the new, cell-based, weighted-averaging finite-difference method also yields better solutions than the old, node-based, weighted-averaging finite-difference method. The cell-based finite-difference method does not violate the reciprocity.
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ISSN
- 0037-1106
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URI
- https://sciwatch.kiost.ac.kr/handle/2020.kiost/5304
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DOI
- 10.1785/0120020116
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Bibliographic Citation
- BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA, v.94, no.1, pp.237 - 250, 2004
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Publisher
- SEISMOLOGICAL SOC AMER
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Subject
- FREQUENCY-DOMAIN; SYNTHETIC SEISMOGRAMS; HETEROGENEOUS MEDIA; TOPOGRAPHY; PROPAGATION; SCHEME; COMPUTATION; SIMULATION; OPERATORS
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Type
- Article
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Language
- English
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Document Type
- Article
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