Statistical applications to second-rank tensors in magnetic fabric analysis

Geophysical Journal International

Volumn 142, Issue 2, 2000, Pages 527-538

  Owens, W H ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Laboratory measurement; Magnetic susceptibility; Statistical methods

Indexed keywords

MAGNETIC FIELD; MAGNETIC PROPERTY; MAGNETIC SUSCEPTIBILITY;

EID: 0033944742     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.2000.00174.x     Document Type: Article

References (24)

1. Bouchez, J.L., 1997. Granite is never isotropic: an introduction to AMS studies of granitic rocks, in Granite: from Segregation of Melt to Emplacement Fabrics, pp. 95-112, eds Bouchez, J.L., Hutton, D.H.W. & Stephens, W.E., Kluwer, Dordrecht.
2. Chambers, J.M., Cleveland, W.S., Kleiner, B. & Tukey, P.A., 1983. Graphical Methods for Data Analysis, Wadsworth International Group, Belmont, Ca.
3. Constable, C., 1992. Reply, J. geophys. Res., 97, 13 997-13 998.
4. Constable, C. & Tauxe, L., 1990. The Bootstrap for magnetic susceptibility tensors, J. geophys. Res., 95, 8383-8395.
5. Efron, B. & Tibshirani, R.J., 1993. An Introduction to the Bootstrap, Chapman & Hall, New York.
6. Girdler, R.W., 1961. The measurement and computation of magnetic susceptibility of rocks, Geophys. J. R. astr. Soc., 5, 34-44.
7. Henry, B. & Le Goff, M., 1995. Application de l'extension bivariate de la statistique Fisher aux données d'anisotropie de susceptibilité: intégration des incertitudes de mesure sur l'orientation des directions principales, C. R. Acad. Sci. Paris, 320, serie IIa, 1037-1042.
8. Hext, G.R., 1963. The estimation of second-order tensors, with related tests and designs, Biometrika, 50, 353-373.
9. Jelínek, V., 1977. The Statistical Theory of Measuring Anisotropy of Magnetic Susceptibility of Rocks and its Application, Geofyzika, Brno.
10. Jelínek, V., 1978. Statistical processing of anisotropy of magnetic susceptibility measured on groups of specimens, Studia Geoph. Geod., 22, 50-62.
11. Johnson, R.A. & Wichern, D.W., 1988. Applied Multivariate Statistical Analysis, 2nd edn, Prentice Hall, Englewood Cliffs, NJ.
12. Kent, J.T., 1982. The Fisher-Bingham distribution on the sphere, J. R. Statist. Soc. B, 44, 71-80.
13. Kligfield, R., Lowrie, W. & Dalziel, I.W.D., 1977. Magnetic susceptibility anisotropy as a strain indicator in the Sudbury Basin, Ontario, Tectonophysics, 40, 287-308.
14. Lienert, B.R., 1991. Monte Carlo simulation of errors in the anisotropy of magnetic susceptibility: a second-rank symmetric tensor, J. geophys. Res., 96, 19 539-19 544.
15. Owens, W.H., 1974. Mathematical model studies on factors affecting the magnetic anisotropy of deformed rocks, Tectonophysics, 24, 115-131.
16. Owens, W.H., 2000. Error estimates in the measurement of anisotropic susceptibility, Geophys. J. Int., 142, 516-526 (this issue).
17. Owens, W.H. & Bamford, D., 1976. Magnetic, seismic and other anisotropic properties of rock fabrics, Phil. Trans. R. Soc. Lond., A., 283, 55-68.
18. Owens, W.H. & Rutter, E.H., 1978. The development of magnetic susceptibility anisotropy through crystallographic preferred orientation in a calcite rock, Phys. Earth planet. Inter., 16, 215-222.
19. Press, W.H., Flannery, B.P., Teukolsky, S.A. & Vetterling, W.T., 1986. Numerical Recipes, Cambridge University Press, Cambridge.
20. Richter, C. & van der Pluijm, B.A., 1994. Separation of paramagnetic and ferrimagnetic susceptibilities using low temperature magnetic susceptibilities and comparison with high field methods, Phys. Earth planet. Inter., 82, 113-123.
21. Ringrose, T.J. & Benn, D.I., 1997. Confidence regions for fabric shape diagrams, J. struct. Geol., 19, 1527-1536.
22. Rochette, P., 1987. Magnetic susceptibility of the rock matrix related to magnetic fabric studies, J. struct. Geol., 9, 1015-1020.
23. Rochette, P., Jackson, M. & Aubourg, C., 1992. Rock magnetism and the interpretation of anisotropy of magnetic susceptibility, Rev. Geophys., 30, 209-226.
24. Tarling, D.H., 1966. The magnetic intensity and susceptibility distributions in some Cenozoic and Jurassic basalts, Geophys. J. R. astr. Soc., 11, 423-432.