Reconditioning fault slip inversions via InSAR data discretization

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• 作者：Alon Ziv
• 关键词：Earthquake seismology ; Inversion ; Coseismic slip ; InSAR
• 刊名：Journal of Seismology
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：20
• 期：4
• 页码：1123-1129
• 全文大小：1,690 KB
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geophysics and Geodesy
  Structural Geology
  Hydrogeology
  Geotechnical Engineering
  
• 出版者：Springer Netherlands
• ISSN：1573-157X
• 卷排序：20

文摘

A major difficulty in inverting geodetic data for fault slip distribution is that measurement errors are mapped from the data space onto the solution space. The amplitude of this mapping is sensitive to the condition number of the inverse problem, i.e., the ratio between the largest and smallest singular value of the forward matrix. Thus, unless the problem is well-conditioned, slip inversions cannot reveal the actual fault slip distribution. In this study, we describe a new iterative algorithm that optimizes the condition of the slip inversion through discretization of InSAR data. We present a numerical example that demonstrates the effectiveness of our approach. We show that the condition number of the reconditioned data sets are not only much smaller than those of uniformly spaced data sets with the same dimension but are also much smaller than non-uniformly spaced data sets, with data density that increases towards the model fault.