Uniform distribution of points on a hypersphere for improving the resolution of stress tensor inversion

Exhaustive grid search is a preferred method to determine the optimal solutions for stress tensor inversion because the object function can have multiple peaks. This study developed a uniform computational grid of normalised stress tensors. We designed the grid by using the reformulated parameter sp...

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Bibliographic Details
Published in:Journal of structural geology 2006-06, Vol.28 (6), p.972-979
Main Authors: Sato, Katsushi, Yamaji, Atsushi
Format: Article
Language:English
Subjects:
Fault-slip analysis
Grid search
Hypersphere
Stress tensor inversion
Uniform distribution
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Summary:Exhaustive grid search is a preferred method to determine the optimal solutions for stress tensor inversion because the object function can have multiple peaks. This study developed a uniform computational grid of normalised stress tensors. We designed the grid by using the reformulated parameter space, where normalised stress tensors correspond to points on the five-dimensional unit sphere. A computer-based procedure enabled us to arrange points on the sphere at approximately constant intervals. As a result, the new grid includes a greater number of triaxial stresses than axial stresses and their principal axes are uniformly distributed in physical space. An analysis of artificial fault-slip data using the multiple inverse method showed that the utilisation of the uniform grid enhanced the resolution in distinguishing stress tensors.
ISSN:0191-8141
1873-1201
DOI:10.1016/j.jsg.2006.03.007