| 地震波正演模拟中无单元Galerkin法初探 |
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| 引用本文： | 王月英.地震波正演模拟中无单元Galerkin法初探[J].地球物理学进展,2007,22(5):1539-1544. |
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| 作者姓名： | 王月英 |
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| 作者单位： | 中国石油大学地球资源与信息学院,东营,257061 |
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| 摘 要： | 无单元Galerkin法作为一种新型有限元开始应用于地震勘探领域.地震波正演模拟结果的好坏取决于基函数类型、节点分布、节点编号方式、稳定条件以及边界条件等因素,通过对各个因素的分析可知:基函数的阶数越高,结果精度越高,但数据量和运算量就越大;不同的基函数联合使用时,会带来数值计算上的误差;节点可以不均匀分布,但必须满足空间采样要求;合理的节点编号有利于节约数据量和减少运算量;采用衰减边界条件,能有效克服无单元Galerkin法在边界上处理的难点.以上分析结果,对无单元Galerkin法在地震波正演模拟中的应用具有一定的指导意义.
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| 关 键 词： | 地震波正演 波动方程 无单元Galerkin法 影响因素 |
| 文章编号： | 1004-2903（2007）05-1539-06 |
| 收稿时间： | 2006-11-06 |
| 修稿时间： | 2007-04-22 |
Study of element-free galerkin method in the seismic forward modeling |
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| WANG Yue-ying.Study of element-free galerkin method in the seismic forward modeling[J].Progress in Geophysics,2007,22(5):1539-1544. |
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| Authors: | WANG Yue-ying |
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| Institution: | Faculty of Geo-Resource and Information, China University of Petroleum, Dongying 257061, China |
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| Abstract: | The Element-free Galerkin Method is applied in the geophysics as one Novel Finite Element.The result of the seismic forward modeling depends on some factors,such as the basis functions,the node distribution,the node numbering,the stabilization condition,the boundary condition,etc.Some conclusions are draw according to the analysis of the factors.The higher orders the basis functions are, the more the data and the calculation quantity are.The different base functions have the different characters,so there are calculational errors uniting the different base functions.The nodes can distribute irregularly,but they must satisfy the sampling theorem.And the rational numbering method of the nodes is beneficial to reduce the data and calculations.The damping boundary conditions overcome the difficulties of the Element-free Galerkin Method on boundaries.The results are good for the application of the Element-free Galerkin Method in the seismic forward modeling. |
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| Keywords: | seismic forward modeling wave equation element-free Galerkin method affecting factor |
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