| 声波及弹性波地震模拟的无网格算法 |
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| 引用本文： | 贾晓峰,胡天跃,王润秋.声波及弹性波地震模拟的无网格算法[J].应用地球物理,2005,2(1):1-6. |
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| 作者姓名： | 贾晓峰 胡天跃 王润秋 |
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| 作者单位： | 北京大学地球与空间科学学院，北京大学地球与空间科学学院，石油大学(北京)资源与信息学院 北京 100871，北京 100871，北京 102249 |
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| 摘 要： | 波动方程方法是地震模拟和成像的基本方法之 一。本文利用无单元法(EFM)处理地震模拟中的 声波及弹性波波动方程。无单元法中没有单元的 概念,使节点完全摆脱了单元网格的束缚;此外, 采用滑动最小二乘(MLS)准则使得方程的解高次 连续。本文将分别针对声波方程和弹性波波动方 程详细讨论无单元法的原理及吸收边界问题。在 此基础上,通过几个叠前模型的试算验证无单元 法用于地震模拟的有效性。
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| 关 键 词： | 波动方程 无单元法 吸收边界条件 地震模拟 弹性波 |
| 收稿时间： | 10 November 2004 |
A meshless method for acoustic and elastic modeling |
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| Jia Xiaofeng,Hu Tianyue,Wang Runqiu.A meshless method for acoustic and elastic modeling[J].Applied Geophysics,2005,2(1):1-6. |
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| Authors: | Jia Xiaofeng Hu Tianyue Wang Runqiu |
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| Institution: | (1) School of Earth and Space Sciences, Peking University, 100871 Beijing, China;(2) School of Resources and Information Technology, University of Petroleum, 102249 Beijing, China |
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| Abstract: | Wave equation method is one of the fundamental techniques for seismic modeling and imaging. In this paper the element-free-method (EFM) was used to solve acoustic and elastic equations. The key point of this method is no need of elements, which makes nodes free from the elemental restraint. Besides, the moving-least-squares (MLS) criterion in EFM leads to a high accuracy and smooth derivatives. The theories of EFM for both acoustic and elastic wave equations as well as absorbing boundary conditions were discussed respectively. Furthermore, some pre-stack models were used to show the good performance of EFM in seismic modeling. |
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| Keywords: | wave equation element-free-method absorbing boundary condition seismic modeling and elastic wave |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
