2006年11月
Distances for the solutions of stress tensor inversion in relation to misfit angles that accompany the solutions
GEOPHYSICAL JOURNAL INTERNATIONAL
- ,
- 巻
- 167
- 号
- 2
- 開始ページ
- 933
- 終了ページ
- 942
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1111/j.1365-246X.2006.03188.x
- 出版者・発行元
- WILEY-BLACKWELL PUBLISHING, INC
The misfit angles between observed and theoretical slip directions are important in evaluating the reliability of the solution to a stress tensor inversion. The distance between stress tensors is also essential for evaluating the resolution of a method of separating stresses from heterogeneous fault-slip data. Here, we define 'angular stress distance' for this purpose. This new method has the attribute of improved distance measurements compared with existing methods. The value of angular stress distance is equivalent to a number of important properties. First, the distance between the correct and optimal stresses for a data set approximates the mean misfit angle. Secondly, when we evaluate the dispersion of reduced stress tensors obtained via a bootstrap or other resampling technique, the value of the dispersion evaluated with the mean distance of the tensors from the optimal solution is approximately equal to the noise level of the data. Thirdly, the distance is equal to the Lode angle difference of the stresses if they have common principal orientations. We demonstrate that stresses cannot share common principal axes if their distance is greater than a certain threshold value. The relationships among the distances that have been proposed for reduced stress tensors are also discussed.
- リンク情報
- ID情報
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- DOI : 10.1111/j.1365-246X.2006.03188.x
- ISSN : 0956-540X
- Web of Science ID : WOS:000241766800038