| 张剑锋.一种弹性波反演的快速迭代解法[J].计算力学学报,1993,10(3): |
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| 一种弹性波反演的快速迭代解法 |
| A Fast Iterative Algorithm for Solving Elastic Waveform Inversion |
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| DOI：10.7511/jslx19933047 |
| 中文关键词: 弹性波反演,有限元法,振型分解法,快速迭代解法 |
| 英文关键词:elastic waveform inversion , finite element method, mode decomposition method, fast iterative algorithm |
| 基金项目:国家自然科学基金 |
| 张剑锋 |
| 大连理工大学工程力学系 大连 |
| 摘要点击次数: 1235 |
| 全文下载次数: 2 |
| 中文摘要: |
| 本文研究弹性波反演的数值解法,通过求低频响应值的残差最小和利用有限元及振型分解法计算弹性波正问题的低频响应值,给出了一种弹性波反演的快速迭代解法。该算法允许引入反演参数的约束条件,计算效率很高;尽管一般只能得到弹性波反问题的近似解,但收敛性很好,因此可应用于为其它弹性波反演解法提供较好的初始值。 |
| 英文摘要: |
| In this paper the numerical solution on elastic waveform inversion is studied and a fast iterative algorithm is achieved by minimizing residuals of low-frequency responses and calculating low-frequency responses of elastic wave propagation with finite element method and mode decomposition method ,forwhich the constrains on parameters of the inverse problem can be introduced and the computation is efficient with good convergence. Generally only approximate solutions of the inverse problem can be obtained with the algorithm present here,but its solution can be taken as well initial background values of other elastic waveform inversion solution methods. |
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