Wave equation modeling and imaging by using element-free method
Wave equation modeling and imaging by using element-free method
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发表时间：
2006
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通讯作者：
J. Xiaofeng;Hu Tianyue;Wang Runqiu
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作者：
J. Xiaofeng;Hu Tianyue;Wang Runqiu
波动方程方法是地震模拟和成像的基本技术之一。本文讨论了一种新的数值方法--无单元法。它在弹性、热传导和疲劳裂纹扩展问题中已取得了成功。这种方法的关键是不需要单元，这意味着潜在的成本节约。此外，无单元法的优点是它具有很高的计算精度和计算速度。在EFM设计中采用了移动最小二乘（MLS）近似，使其具有高精度和光滑的导数.本文详细讨论了该方法的基本原理和一个简单的振动膜例子.最后，本文还将通过一些实例来说明无单元法在地震建模和成像问题中的良好性能。
Wave equation method is one of the fundamental techniques for seismic modeling and imaging.In this paper we discuss a rather new numerical method-the Element-Free Method(EFM),which has demonstrated quite successful in elasticity,heat conduction and fatigue crack growth problems.The key point of this method is the absence of elements,which means potential cost savings.Besides,the Moving Least Squares(MLS) approximation in the EFM design leads to high accuracy and smooth derivatives.The basic principle and a simple example of vibrant film are discussed in details in this paper.Finally,some more examples will be given to show the good performance of EFM in seismic modeling and imaging problems.