A Bayesian approach to determining and parametrizing earthquake focal mechanisms

Geophysical Journal International

Volumn 176, Issue 1, 2009, Pages 235-255

  Walsh, David ^a   Arnold, Richard ^a   Townend, John ^a  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

Dynamics and mechanics of faulting; Earthquake source observations; Fractures and faults; Mechanics, theory, and modelling; Probability distributions; Statistical seismology

Indexed keywords

BAYESIAN ANALYSIS; FOCAL MECHANISM; PARAMETERIZATION; PROBABILITY; SEISMIC DATA; SEISMIC VELOCITY; SEISMIC WAVE;

AUSTRALASIA; NEW ZEALAND; NORTH ISLAND; RAUKUMARA PENINSULA;

EID: 58149186647     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2008.03979.x     Document Type: Article

References (29)

1. Aki, K. & Richards, P.G., 2002. Quantitative Seismology, 2nd edn, University Science Books, Sausalito.
2. Arfken, G., 1985. Mathematical Methods for Physicists, 3rd edn, Academic Press Inc., San Diego.
3. Arnold, R. & Townend, J., 2007. A Bayesian approach to estimating tectonic stress from seismological data, Geophys. J. Int., 170, 1336-1356.
4. Bibby, H.M., Caldwell, T.G., Davey, F.J. & Webb, T.H., 1995. Geophysical evidence on the structure of the Taupo Volcanic Zone and its hydrothermal circulation, J. Volcanol. Geother. Res., 68, 29-58.
5. Brillinger, D.R., Udias, A. & Bolt, B.A., 1980. A probability model for regional focal mechanism solutions, Bull. seism. Soc. Am., 70, 149-170.
6. Clarke, D., 2008. Velocity modelling and earthquake relocation in the Rotorua and Kawerau geothermal areas, Taupo Volcanic Zone, New Zealand, Master's thesis, Victoria University of Wellington, New Zealand. URL: http://hdl.handle.net/10063/605.
7. De Natale, G., Ferraro, A. & Virieux, J., 1991. A probability method for local earthquake focal mechanisms, Geophys. Res. Lett., 18, 613-616.
8. Downs, T., 1972. Orientation Statistics, Biometrika, 59(3), 665-676.
9. Gelman, A., Carlin, J.B., Stern, H.S. & Rubin, D.B., 1995. Bayesian Data Analysis, Chapman & Hall/CRC, FL.
10. Hardebeck, J.L. & Shearer, P.M., 2002. A New Method for Determining First-Motion Focal Mechanisms, Bull. seism. Soc. Am., 92(6), 2264-2276.
11. Hurst, A.W., Bibby, H.M. & Robinson, R.R., 2002. Earthquake focal mechanisms in the central Taupo Volcanic Zone and their relation to faulting and deformation, NZ J. Geol. Geophys., 45, 527-536.
12. Khatri, C. & Mardia, K.V., 1977. The von Mises-Fisher matrix distribution in orientation statistics, J. R. Stati. Soc. Ser. B (Methodological), 39(1), 95-106.
13. Kissling, E., 1995. Velest User's Guide, Institute of Geophysics, ETH Zuerich.
14. Koev, P. & Edelman, A., 2006. The efficient evaluation of the hypergeometric function of a matrix argument, Math. Comput., 75(254), 833-846.
15. Lomax, A., Virieux, J., Volant, P. & Berge, C., 2000. Probabilistic earthquake location in 3D and layered models: Introduction of a Metropolis-Gibbs method and comparison with linear locations, in Advances in Seismic Event Location, pp. 101-134, eds Thurber, C. & Rabinowitz, N., Kluwer, Amsterdam.
16. Mardia, K.V. & Jupp, P.E., 2000. Directional Statistics, Wiley, Chichester.
17. Muirhead, R.J., 1982. Aspects of Multivariate Statistical Theory, Wiley, New York.
18. Rabinowitz, N. & Hofstetter, A., 1992. A rapid algorithm for estimating fault plane solution using polarity-amplitude data: application of a non-linear programming approach, Phys. Earth planet. Inter., 73, 239-254.
19. Rau, R., Wu, F. & Shin, T., 1996. Regional network focal mechanism determination using 3D velocity model and SH/P amplitude ratios, Bull. seism Soc. Am., 86, 1270-1283.
20. Reasenberg, P.A. & Oppenheimer, D., 1985. FPFIT, FPPLOT, and FPPAGE: fortran computer programs for calculating and displaying earthquake fault-plane solutions, Open-File Rep. 85-739, U.S. Geol. Surv.
21. Reyners, M. & McGinty, P., 1999. Shallow subduction tectonics in the Raukumara Peninsula, New Zealand, as illuminated by earthquake focal mechanisms, J. geophys. Res., 104, 3025-3034.
22. Reyners, M., Eberhart-Phillips, D. & Stuart, G., 1999. A three-dimensional image of shallow subduction: Crustal structure of the Raukumara Peninsula, New Zealand, Geophys. J. Int., 137, 873-890.
23. Robert, C. & Casella, G., 1999. Monte Carlo Statistical Methods, 1st edn, Springer-Verlag, New York.
24. Sivia, D., 1996. Data Analysis: A Bayesian Tutorial, 1st edn, Oxford University Press, Oxford, UK.
25. Snoke, J.A., 2003. International Handbook of Earthquake and Engineering Seismology (Chap. FOCMEC: FOcal MEChanism Determinations), pp. 1629-1630, Academic Press, San Dicgo.
26. Tarantola, A. & Valette, B., 1982. Inverse problems = quest for information, J. Geophys., 50, 159-170.
27. Udias, A., 1999. Principles of Seismology, Cambridge University Press, Cambridge, UK.
28. Walsh, D., 2008. Directional statistics, Bayesian methods of earthquake focal mechanism estimation, and their application to New Zealand seismicity data, Master's thesis, Victoria University of Wellington, New Zealand.
29. Zollo, A. & Bernard, P., 1991. Fault mechanisms from near-source data: Joint inversion of S polarizations and P polarities, Geophys. J. Int., 104, 441-451.