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| 面波频散反演的数值模拟 | |
| 引用本文： | 李平,许厚泽,卢造勋,熊熊.面波频散反演的数值模拟[J].大地测量与地球动力学,2000,20(1):22-29. |
| 作者姓名： | 李平 许厚泽 卢造勋 熊熊 |
| 作者单位： | 1. 中国科学院测量与地球物理研究所,武汉,430077;辽宁省地震局,沈阳,110031 2. 中国科学院测量与地球物理研究所,武汉,430077 3. 辽宁省地震局,沈阳,110031 |
| 基金项目： | 国家自然科学基金;49734150,49674220; |
| 摘 要： | 大量的数值模拟表明,SVD和LSQRD在面波频散网格反演两步法中的应用效果都很好.但SVD可以用分辨矩阵、信息矩阵和协方差矩阵对解估计进行数学上客观有效的评价;而对于大型稀疏方程组的求解,LSQRD确是一种内存需求小、计算速度快以及分辨抗噪能力都较强的算法 .在现有计算机运算速度较快、内存可以扩充较大的条件下,实测数据量不很大时,应采用SVD算法进行线性反演. |
| 关 键 词： | 面波频散 反演 SVD算法 LSQRD算法 分辨 |
| 修稿时间： | 1999-02-24 |
NUMERICAL SIMULATION FOR INVERSION OF SURFACE WAVE DISPERSION |
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| Li Ping,Hsu Houtze,Lu Zaoxun,Xiong Xiong.NUMERICAL SIMULATION FOR INVERSION OF SURFACE WAVE DISPERSION[J].Journal of Geodesy and Geodynamics,2000,20(1):22-29. | |
| Authors: | Li Ping Hsu Houtze Lu Zaoxun Xiong Xiong |
| Abstract: | A lot of numerical simulations indicate that both SVD and LSQRD are very effectively applied to inversion of surface wave dispersion. Using SVD method through resolution matrix,information matrix and covariance matrix,the solutions can be evaluated mathematically, objectively and effectively, while LSQRD is more useful to solve a large sized sparse linear system because if has high efficiency in computation and strong noise abatement and needs small store spaces, so that SVD algorithm should be adopted in inversion of linear system under fast computations and big store spaces of present computers if the quantity of data is not too large. |
| Keywords: | surface wave dispersion inversion SVD algorithm LSQRD method resolution |
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