| The Numerical Modeling of 3-D Elastic Wave Equation Using a High-Order,Staggered-Grid, Finite Difference Scheme |
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| 作者姓名： | XiaFan DongLiangguo MaZaitian |
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| 作者单位： | LaboratoryofMarineGeology,MOE,TongjiUniversity,Shanghai200092,China. |
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| 摘 要： | This article provides the application of the high-order, staggered-grid, finite-difference scheme to model elastic wave propagation in 3-D isotropic media. Here, we use second-order, temporal-and high-order spatial finite-difference formulations with a staggered grid for discretization of the 3-D elastic wave equations of motion. The set of absorbing boundary conditions based on paraxial approximations of 3-D elastic wave equations are applied to the numerical boundaries. The trial resuits for the salt model show that the numerical dispersion is decreased to a minimum extent, the accuracy high and diffracted waves abundant. It also shows that this method can be used for modeling wave propagation in complex media with the lateral variation of velocity.
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| 关 键 词： | 数字模拟 栅格 有限差分法 弹性波 地震勘探 |
| 收稿时间： | 28 April 2004 |
The numerical modeling of 3-D elastic wave equation using a high-order,staggered-grid,finite difference scheme |
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| XiaFan DongLiangguo MaZaitian.The Numerical Modeling of 3-D Elastic Wave Equation Using a High-Order,Staggered-Grid, Finite Difference Scheme[J].Applied Geophysics,2004,1(1):38-41. |
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| Authors: | Xia Fan Dong Liangguo Ma Zaitian |
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| Institution: | (1) Laboratory of Marine Geology, MOE, Tongji University, 200092 Shanghai, China |
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| Abstract: | This article provides the application of the high-order, staggered-grid, finite-difference scheme to model elastic wave propagation
in 3-D isotropic media. Here, we use second-order, temporal- and high-order spatial finite-difference formulations with a
staggered grid for discretization of the 3-D elastic wave equations of motion. The set of absorbing boundary conditions based
on paraxial approximations of 3-D elastic wave equations are applied to the numerical boundaries. The trial results for the
salt model show that the numerical dispersion is decreased to a minimum extent, the accuracy high and diffracted waves abundant.
It also shows that this method can be used for modeling wave propagation in complex media with the lateral variation of velocity.
Party presented at the CPS/SEG Beijing 2004 International Geophysical Conference, March 31–April 3, 2004.
THE AUTHORS
Xia Fan received BS (2000) in applied geophysics from Tongji University, and now as a PhD student at Tongji University. His research
interests include seismic wave propagation and imaging.
Dong Liang-Guo received a PhD (2003) in solid geophysics from Tongji University. He is an associate professor at Tongji University. His
research interests include seismic wave propagation and seismic processing.
Ma Zai-Tian a Member of Chinese Academy of Science and a well-known geophysicist and professor in Geophysics Department, School of Ocean
& Earth Science, Tongji University. The research that he has led on the theory of seismic migration, data processing and physical
modeling have made systematic contributions to the applied geophysics, especially to the modern seismic method and technology
in energy exploitation and development. His achievements in the theory and application of seismic migration have become known
internationally. |
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| Keywords: | numerical modeling staggered-grid and elastic wave |
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