| 交错网格高阶差分法三维弹性波数值模拟 |
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| 引用本文： | 夏凡,董良国,马在田.交错网格高阶差分法三维弹性波数值模拟[J].应用地球物理,2004,1(1). |
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| 作者姓名： | 夏凡 董良国 马在田 |
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| 作者单位： | 同济大学教育部海洋地质重点实验室 上海200092
(夏凡，董良国)，同济大学教育部海洋地质重点实验室 上海200092(马在田) |
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| 摘 要： | 本文应用交错网格高阶有限差分方法模拟弹性波在三维各向同性介质中的传播。采用时间上二阶、空间上高阶近似的交错网格高阶差分公式求解三维弹性波位移-应力方程,并在计算边界处应用基于傍轴近似法得到的三维弹性波方程吸收边界条件。在此基础上进行了三维盐丘地质模型的地震波传播数值模拟试算。试算结果表明该方法模拟精度高,在很大程度上减小了数值频散,绕射波更加丰富,而且适用于介质速度具有纵向变化和横向变化的情况。
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| 关 键 词： | 数值模拟 交错网格 弹性波 |
The Numerical Modeling of 3-D Elastic Wave Equation Using a High-Order,Staggered-Grid,Finite Difference Scheme |
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| Xia Fan,Dong Liangguo,and Ma Zaitian .Laboratory of Marine Geology,MOE,Tongji University,Shanghai ,China..The Numerical Modeling of 3-D Elastic Wave Equation Using a High-Order,Staggered-Grid,Finite Difference Scheme[J].Applied Geophysics,2004,1(1). |
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| Authors: | Xia Fan Dong Liangguo and Ma Zaitian Laboratory of Marine Geology MOE Tongji University Shanghai China |
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| Affiliation: | Xia Fan1,Dong Liangguo1,and Ma Zaitian1 1.Laboratory of Marine Geology,MOE,Tongji University,Shanghai 200092,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, tempo- ral- 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 re- sults 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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| Keywords: | numerical modeling staggered-grid and elastic wave |
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