| 各向异性介质弹性波传播的三维不规则网格有限差分方法 |
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| 引用本文： | 孙卫涛,杨慧珠.各向异性介质弹性波传播的三维不规则网格有限差分方法[J].地球物理学报,2004,47(2):332-337. |
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| 作者姓名： | 孙卫涛 杨慧珠 |
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| 作者单位： | 清华大学工程力学系,北京,100084;清华大学计算机科学与技术系,北京,100084;清华大学工程力学系,北京,100084 |
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| 基金项目： | 中国石油天然气集团公司基金资助 ( 2 0 0 2CXKF 4) |
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| 摘 要： | 提出一种新的三维空间不规则网格有限差分方法，模拟具有地形构造的非均匀各向异性介质中弹性波传播过程. 该方法通过具有二阶时间精度和四阶空间精度的不规则交错网格差分算子来近似一阶弹性波动方程，与多重网格不同，无需在精细网格和粗糙网格间进行插值，所有网格点上的计算在同一次空间迭代中完成. 针对具有复杂物性参数和复杂几何特征的地层结构，使用精细不规则网格处理粗糙界面、断层和空间界面等复杂几何构造, 理论分析和数值算例表明，该方法不但节省了大量计算机内存和计算时间，而且具有令人满意的稳定性和精度.
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| 关 键 词： | 地震波 不规则网格 有限差分 各向异性介质 |
| 文章编号： | 0001-5733(2004)02-0332-06 |
| 收稿时间： | 2002-11-28 |
| 修稿时间： | 2003-8-26 |
A 3-D FINITE DIFFERENCE METHOD USING IRREGULAR CRIDS FOR ELASTIC WAVE PROPAGATION IN ANISOTROPIC MEDIA |
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| SUN Wei-Tao,YANG Hui-Zhu.A 3-D FINITE DIFFERENCE METHOD USING IRREGULAR CRIDS FOR ELASTIC WAVE PROPAGATION IN ANISOTROPIC MEDIA[J].Chinese Journal of Geophysics,2004,47(2):332-337. |
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| Authors: | SUN Wei-Tao YANG Hui-Zhu |
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| Institution: | 1.Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China 2 Department of Computer Science & Technology, Tsinghua University, Beijing 100084,China |
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| Abstract: | This paper presents a new 3D finite-difference (FD) method using spatially irregular grids to simulate elastic wave propagation in heterogeneous anisotropic media with topographic structures. The method approximates the first-order elastic wave equations by the finite difference operators on irregular grids with second-order time precise and fourth-order spatial precise. Unlike the multi-grid scheme, this method has no interpolation between the fine and coarse grids. All grids are computed at the same spatial iteration. Complicated geometrical structures like rough submarine interfaces, faults and nonplanar interfaces are treated with fine irregular grids. Theoretical analysis and numerical simulations show that this method saves considerable memory and computing time, at the same time, has satisfactory stability and accuracy. The proposed scheme is more efficient than conventional methods in simulating seismic wave propagation in complex topographic structures. |
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| Keywords: | Seismic wave Irregular grid Finite difference Anisotropy media |
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