![]() ![]() Sato K (2006) Incorporation of incomplete fault-slip data into stress tensor inversion. Rakhmanov EA, Saff EB, Zhou YM (1994) Minimal discrete energy on the sphere. Otsubo M, Yamaji A, Kubo A (2008) Determination of stresses from heterogeneous focal mechanism data: an adaptation of the multiple inverse method. ![]() Orife T, Lisle RJ (2003) Numerical processing of palaeostress results. Nemcok M, Lisle RJ (1995) A stress inversion procedure for polyphase fault/slip data sets. C R Acad Sci 279:891–894įung YC (1965) Foundations of solid mechanics. Geol Mag 96(2):109–117Ĭarey ME, Brunier MB (1974) Analyse théorique et numérique d’un modèle mécanique élémentaire appliqué à l’étude d’une population de failles. Geophys J R Astron Soc 69(3):607–621īott MHP (1959) The mechanics of oblique slip faulting. Single-phase fault populations: a new method of computing the stress tensor. This fact is not convenient for fault-slip analysis dealing only with orientations.Īngelier J, Tarantola A, Valette B, Manoussis S (1982) Inversion of field data in fault tectonics to obtain the regional stress-1. The meaningless difference in non-dimensional shear stress magnitude was found to be incorporated into the value of stress difference. The present discovery is based on the analytical proportionality between the second invariant of stress tensor and the root mean square magnitude of shear stress for all orientation of fault planes. This study investigated the formula of stress difference and found the exact physical meaning, specifically the expected difference in shear stress vector which carries information on magnitude as well as direction. This measure corresponds to the expected difference in shear stress direction on a randomly oriented fault plane, which is, however, an approximation including several degrees of deviation. An estimator named the stress difference has been a practicable tool to measure the difference between stress solutions of inversion analysis. The advantages of this statistical expression of stress parameters are demonstrated using practical examples.Recent stress tensor inversion methods for fault-slip analysis are used to distinguish between multiple stress states to elucidate spatiotemporal change of the earth’s crustal tectonics. This procedure has been implemented for the three different methods for reconstructing the reduced stress tensors in Win-Tensor: PBT Right Dihedron and Rotational Optimisation. ![]() ![]() This way, the 4 dimensions of the reduced stress tensor are reduced to a two dimensional expression with is commonly used to depict the horizontal stress trajectories as in the World Stress Map project. For each possible reduced tensors, the horizontal paleostress directions (SHmax/SHmin) and regime (R') are computed and the related 1 sigma standard deviations determined. They are defined by combining the possible values of each individual stress axes (sigma 1, sigma 2, sigma 3) and the stress ratio R = (sigma2-sigma3)/(sigma1-sigma3). Computation of the standard deviations is based on the examination of all possible reduced stress tensors for a particular stress solution obtained from the inversion of fault-slip or focal mechanism data. The latter expresses the relative stress magnitudes and the nature of the vertical stress in a continuous scale, ranging from 1 to 3. Version 4.0 released in January 2012 provides as a new feature the standard deviation of the horizontal stress axes (SHmax/SHmin) and the stress regime Index R'. It was developed with a constant feed-back from the users and is regularly upgraded. The Win-Tensor program is an interactive computer program for fracture analysis and crustal stress reconstruction, freely distributed to the scientific and academic community and widely used by structural geologists. ![]()
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