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This paper discusses important aspects and new developments of the stress inversion methodology as the critical evaluation and interpretation of the results. The problems of data selection and separation into subsets, choice of optimization function, and the use of non-fault structural elements in stress inversion (tension, shear and compression fractures) are examined. The classical Right Dihedron method is developed in order to estimate the stress ratio\n            <jats:italic>R<\/jats:italic>\n            , widen its applicability to compression and tension fractures, and provide a compatibility test for data selection and separation. A new Rotational Optimization procedure for interactive kinematic data separation of fault-slip and focal mechanism data and progressive stress tensor optimization is presented. The quality assessment procedure defined for the World Stress Map project is extended in order to take into account the diversity of orientations of structural data used in the inversion. The range of stress regimes is expressed by a stress regime index\n            <jats:italic>R\u2019<\/jats:italic>\n            , useful for regional comparisons and mapping. All these aspects have been implemented in a computer program TENSOR, which is introduced briefly. The procedures for determination of stress tensor using these new aspects are described using natural sets of fault-slip and focal mechanism data from the Baikal Rift Zone.\n          <\/jats:p>","DOI":"10.1144\/gsl.sp.2003.212.01.06","type":"journal-article","created":{"date-parts":[[2008,4,30]],"date-time":"2008-04-30T18:44:41Z","timestamp":1209581081000},"page":"75-100","source":"Crossref","is-referenced-by-count":373,"title":["New aspects of tectonic stress inversion with reference to the TENSOR program"],"prefix":"10.1144","volume":"212","author":[{"given":"D.","family":"Delvaux","sequence":"first","affiliation":[{"name":"Royal Museum for Central Africa, Department of Geology-Mineralogy\rB-3080 Tervuren, Belgium"},{"name":"Vrije University\rAmsterdam, The Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"B.","family":"Sperner","sequence":"additional","affiliation":[{"name":"Geophysical Institute, Karlsruhe University\rHertzstrasse 16, 76187 Karlsruhe, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1881","published-online":{"date-parts":[[2003,7,28]]},"reference":[{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/0191-8141(89)90034-5"},{"key":"e_1_2_1_3_1","first-page":"1213","article-title":"Inversion directe et recherche 4-D: comparaison physique et math\u00e9matique de deux m\u00e9thodes de d\u00e9termination des tenseurs des pal\u00e9ocontraintes en tectonique de failles","volume":"312","author":"Angelier J.","year":"1991","unstructured":"Angelier J. 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