Simplified algorithms for calculating double-couple rotation

Geophysical Journal International

Volumn 171, Issue 1, 2007, Pages 411-418

  Kagan, Yan Y ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Earthquake source mechanism; Fault plane solutions; Inverse problem; Seismic moment; Seismotectonics; Statistical methods

Indexed keywords

ALGORITHM; EARTHQUAKE MECHANISM; FAULT PLANE; FOCAL MECHANISM; INVERSE PROBLEM; SEISMIC MOMENT; SEISMOTECTONICS; STATISTICAL ANALYSIS;

EID: 35248879622     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2007.03538.x     Document Type: Article

References (24)

1. Aki, K. & Richards, P., 2002. Quantitative Seismology, 2nd edn, University Science Books, Sausalito, Calif., 700 pp.
2. Altmann, S.L., 1986. Rotations, Quaternions and Double Groups, Clarendon Press, Oxford, pp. 317.
3. Bird, P. & Kagan, Y.Y., 2004. Plate-tectonic analysis of shallow seismicity: Apparent boundary width, beta, corner magnitude, coupled lithosphere thickness, and coupling in seven tectonic settings, Bull. seism. Soc. Am., 94(6), 2380-2399 (plus electronic supplement).
4. Bressan, G., Bragato, P.L. & Venturini, C., 2003. Stress and strain tensors based on focal mechanisms in the seismotectonic framework of the Friuli-Venezia Giulia region (Northeastern Italy), Bull. seism. Soc. Am., 93(3), 1280-1297.
5. Ekström, G., Dziewonski, A.M., Maternovskaya, N.N. & Nettles, M., 2005. Global seismicity of 2003: Centroid-moment-tensor solutions for 1087 earthquakes, Phys. Earth planet. Inter., 148(2-4), 327-351.
6. Frohlich, C., 1992. Triangle diagrams: Ternary graphs to display similarity and diversity of earthquake focal mechanisms, Phys. Earth planet. Inter., 75, 193-198.
7. v, Seismol. Res. Lett., 67(1), 16-24.
8. Frohlich, C., 2006. Deep Earthquakes, Cambridge University Press, New York, 573 pp.
9. Frohlich, C. & Davis, S.D., 1999. How well constrained are well-constrained T, B, and P axes in moment tensor catalogs? J. geophys. Res., 104, 4901-4910.
10. Hanson, A.J., 2005. Visualizing Quaternions, Elsevier, San Francisco, Calif., pp. 498.
11. Jost, M.L. & Herrmann, R.B., 1989. A student's guide to and review of moment tensors, Seismol. Res. Lett., 60(2), 37-57.
12. Kagan, Y.Y., 1982. Stochastic model of earthquake fault geometry, Geophys. J. R. astr. Soc., 71(3), 659-691.
13. Kagan, Y.Y., 1991. 3-D rotation of double-couple earthquake sources, Geophys. J. Int., 106(3), 709-716.
14. Kagan, Y.Y., 2000. Temporal correlations of earthquake focal mechanisms, Geophys. J. Int., 143(3), 881-897.
15. Kagan, Y.Y., 2003. Accuracy of modern global earthquake catalogs, Phys. Earth planet. Inter., 135(2-3), 173-209.
16. Kagan, Y.Y., 2005. Double-couple earthquake focal mechanism: Random rotation and display, Geophys. J. Int., 163(3), 1065-1072.
17. Kagan, Y.Y., 2006. Why does theoretical physics fail to explain and predict earthquake occurrence? in Lecture Notes in Physics, Vol. 705, pp. 303-359, eds Bhattacharyya, P. & Chakrabarti, B.K., Springer Verlag, Berlin-Heidelberg. http://scec.ess.ucla.edu/~ykagan/ india_index.html
18. Kagan, Y.Y. & Jackson, D.D., 2000. Probabilistic forecasting of earthquakes, Geophys. J. Int., 143(2), 438-453.
19. Kuipers, J.B., 2002. Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality, Princeton Univ. Press., Princeton, 400 pp.
20. Matsumoto, T., Ito, Y., Matsubayashi, H. & Sekiguchi, S., 2006. Spatial distribution of F-net moment tensors for the 2005 West Off Fukuoka Prefecture Earthquake determined by the extended method of the NIED F-net routine, Earth Planet. Space, 58(1), 63-67.
21. Okal, E.A., 2005. A re-evaluation of the great Aleutian and Chilean earthquakes of 1906 August 17, Geophys. J. Int., 161(2), 268-282.
22. Pondrelli, S., Salimbeni, S., Ekström, G., Morelli, A., Gasperini, P. & Vannucci, G., 2006. The Italian CMT dataset from 1977 to the present, Phys. Earth planet. Inter., 159, 286-303.
23. Pujol, J. & Herrmann, R.B., 1990. A student's guide to point sources in homogeneous media, Seismol. Res. Lett., 61(3-4), 209-224.
24. Snoke, J.A., 2003. FOCMEC: FOcal MEChanism determinations, International Handbook of Earthquake and Engineering Seismology, eds Lee, W.H.K., Kanamori, H., Jennings, P.C. & Kisslinger, C., Academic Press, San Diego, Chapter 85.12. http://www.geol.vt.edu/outreach/vtso/focmec/