Automatic computation of moment magnitudes for small earthquakes and the scaling of local to moment magnitude

Geophysical Journal International

Volumn 183, Issue 1, 2010, Pages 407-420

  Edwards, Benjamin ^a   Allmann, Bettina ^a   Fäh, Donat ^a   Clinton, John ^a  

^a Schweiz Erdbebendienst   (Switzerland)

Author keywords

Earthquake ground motions; Earthquake source observations; Fourier analysis; Inverse theory; Seismic attenuation

Indexed keywords

ANDERSONS; COMPUTATION OF MOMENTS; EARTHQUAKE GROUND MOTIONS; EARTHQUAKE SOURCE OBSERVATIONS; INVERSE THEORY; LINEAR SCALING; LOW STRESS; MOMENT MAGNITUDES; MOMENT TENSORS; POLYNOMIAL FORM; REAL-TIME SOLUTIONS; SCALING RELATIONS; SEISMIC ATTENUATION; SPECTRAL FITTING; SPECTRAL TECHNIQUES; STOCHASTIC SIMULATIONS; SWITZERLAND; SYNTHETIC DATA; XML DATABASE;

DROPS; FOURIER ANALYSIS; OPTIMIZATION; STOCHASTIC MODELS;

EARTHQUAKES;

BOOTSTRAPPING; EARTHQUAKE MAGNITUDE; GROUND MOTION; INVERSE ANALYSIS; MOMENT TENSOR; NUMERICAL MODEL; OPTIMIZATION; SEISMIC ATTENUATION; SEISMIC MOMENT; SEISMIC SOURCE; SEISMOLOGY;

SWITZERLAND;

EID: 78349241479     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2010.04743.x     Document Type: Article

References (66)

1. Abercrombie, R.E., 1997. Near surface attenuation and site effects from comparison of surface and deep borehole recordings, Bull. seism. Soc. Am., 87, 731-744.
2. Abercrombie, R.E. & Leary, P.C., 1993. Source parameters of small earthquakes recorded at 2.5 km depth, Cajon Pass, southern California: implications for earthquake scaling, Geophys. Res. Lett., 20, 1511-1514.
3. Aki, K. & Richards, P., 1980. Quantitative Seismology, W.H. Freeman, New York.
4. Allmann, B.P. & Shearer, P.M., 2007. Spatial and temporal stress drop variations in small earthquakes near Parkfield, California, J. geophys. Res., 112, B04305, doi:.
5. Allmann, B.P. & Shearer, P.M., 2009. Global variations of stress drop for moderate to large earthquakes, J. geophy. Res., 114, B01310, doi:.
6. Anderson, J.G. & Hough, S.E., 1984. A model for the shape of the Fourier amplitude spectrum of acceleration at high frequencies, Bull. seism. Soc. Am., 74, 1969-1993.
7. Atkinson, G.M. & Boore, D.M., 1995. Ground-motion relations for eastern North America, Bull. seism. Soc. Am., 85, 17-30.
8. Baer, M. et al., 2007. Earthquakes in Switzerland and surrounding regions during 2006, Eclogae Geologicae Helvetiae, 100(3), 517-528.
9. Bay, F., Fäh, D., Malagnini, L. & Giardini, D., 2003. Spectral shear-wave ground-motion scaling in Switzerland, Bull. seism. Soc. Am., 93, 414-429.
10. Bay, F., Wiemer, S., Fäh, D. & Giardini, D., 2005. Predictive ground motion scaling in Switzerland: best estimates and uncertainties, J. Seismol., 9, 223-240.
11. Ben-Zion, Y. & Zhu, L., 2002. Potency-magnitude scaling relations for Southern California earthquakes with 1.0 < ML < 7.0, Geophys. J. Int., 148, F1-F5.
12. Bernardi, F., Braunmiller, J., Kradolfer, U. & Giardini, D., 2004. Automatic regional moment tensor inversion in the European-Mediterranean region, Geophys. J. Int., 157, 703-716.
13. Bommer, J.J., Stafford, P.J., Alarcon, J.E. & Akkar, S., 2007. The influence of magnitude range on empirical ground-motion prediction, Bull. seism. Soc. Am., 97, 2152-2170.
14. Boore, D., 2003. Simulation of ground motion using the stochastic method, Pure appl. Geophys., 160(3-4), 635-676.
15. Boore, D.M. & Boatwright, J., 1984. Average body-wave radiation coefficients, Bull. seism. Soc. Am., 74, 1615-1621.
16. Boore, D.M. & Joyner, W.B., 1997. Site amplifications for generic rock sites, Bull. seism. Soc. Am., 87, 327-341.
17. -2 source model to observed response spectra in western North America: trade-offs between δσ and κ, Bull. seism. Soc. Am., 82, 1956-1963.
18. Braunmiller, J., Deichmann, N., Giardini, D. & Wiemer, S.; and the SED Magnitude Working Group, 2005. Homogeneous moment-magnitude calibration in Switzerland, Bull. seism. Soc. Am., 95, 58-74.
19. Brune, J.N., 1970. Tectonic stress and the spectra of seismic shear waves from earthquakes, J. geophys. Res., 75, 4997-5010.
20. Brune, J.N., 1971. Correction: tectonic stress and the spectra of seismic shear waves from earthquakes, J. geophys. Res., 76, 5002.
21. Clinton, J.F., Hauksson, E. & Solanki, K., 2006. An evaluation of the SCSN moment tensor solutions: robustness of the M-w magnitude scale, style of faulting, and automation of the method, Bull. seism. Soc. Am., 96, 1689-1705.
22. Cotton, F., Pousse, G., Bonilla, F. & Scherbaum, F., 2008. On the discrepancy of recent European ground-motion observations and predictions from empirical models: analysis of KiK-net accelerometric data and point-sources stochastic simulations, Bull. seism. Soc. Am., 98, 2244-2261.
23. Deichmann, N., 2006. Local magnitude, a moment revisited, Bull. seism. Soc. Am., 96, 1267-1277.
24. Dreger, D.S., 2003. TDMT_INV: time domain seismic moment tensor INVersion, Int. Handbook Earthq. Eng. Seismol., 81B, 1627.
25. Drouet, S., Chevrot, S., Cotton, F. & Souriau, A., 2008. Simultaneous inversion of source spectra, attenuation parameters, and site responses: application to the data of the French accelerometric network, Bull. seism. Soc. Am., 98, 198-219.
26. Drouet, S., Cotton, F. & Souriau, A., 2005. Attenuation, seismic moments, and site effects for weak motion events. Application to the Pyrenees, Bull. seism. Soc. Am., 95, 1731-1748.
27. Edwards, B., 2008. On the use of micro-earthquakes to predict strong ground-motion, PhD thesis, University of Liverpool.
28. Edwards, B. & Rietbrock, A., 2009. A comparative study on attenuation and source-scaling relations in the Kanto, Tokai, and Chubu regions of Japan, using data from Hi-Net and Kik-Net, Bull. seism. Soc. Am., 99, 2435-2460, doi:.
29. Edwards, B., Rietbrock, A., Bommer, J.J. & Baptie, B., 2008. The acquisition of source, path and site effects from micro-earthquake recordings using Q tomography: application to the UK, Bull. seism. Soc. Am., 98, 1915-1935.
30. Eshelby, J.D., 1957. The determination of an elastic field of an ellipsoidal inclusion and related problems, Proc. R. Soc. Lond. A, 241, 376-396.
31. Fäh, D. et al., 2003a. Earthquake Catalogue Of Switzerland (ECOS) and the related macroseismic database, Eclogae Geologicae Helvetiae, 96, 219-236.
32. Fäh, D., Kind, F. & Giardini, D., 2003b. Inversion of local S-wave velocity structures from average H/V ratios, and their use for the estimation of site-effects. J. seismol., 7, 449-467.
33. W based earthquake catalogue for central, northern and northwestern Europe using a hierarchy of magnitude conversions, J. Seismol., 7, 507-531.
34. Grünthal, G., Wahlström, R. & Stromeyer, D., 2009. The unified catalogue of earthquakes in central, northern, and northwestern Europe (CENEC)-updated and expanded to the last millennium Source, J. Seismol., 13, 517-541.
35. Gutenberg, B. & Richter, C.F., 1954. Seismicity of the Earth and Associated Phenomena, 2nd edn, Princeton University Press, Princeton, New Jersey Kanamori and Jennings, 1978.
36. Hanks, T.C., 1982. Fmax, Bull. seism. Soc. Am., 72, 1867-1880.
37. Hanks T.C. & Boore, D., 1984. Moment-magnitude relations in theory and practice, J. geophys. Res., 89, 6229-6235.
38. Hanks, T.C. & Kanamori, H., 1979. A moment magnitude scale. J. geophys. Res., 84(B5), 2348-2350.
39. Ide, S., Beroza, G.C., Prejean, S.G. & Ellsworth, W.L., 2003. Apparent break in earthquake scaling due to path and site effects on deep borehole recordings, J. geophy. Res., 108, B5, 2271.
40. Kisslinger C., 1980. Evaluation of S to P amplitude ratios for determining focal mechanisms from regional network observations, Bull. seism. Soc. Am., 70, 999-1014.
41. Kisslinger C., Bowman, R. & Koch, K., 1981. Procedures for computing focal mechanisms from local (SV/P) data, Bull. seism. Soc. Am., 71, 1719-1729.
42. Kradolfer, U., 1984. Magnitudenkalibrierung von Erdbebenstationen in der Schweiz, Diploma thesis ETH Zurich.
43. Lees, J.M. & Park, J., 1995. Multiple-taper spectral analysis: a stand-alone C subroutine, Comput. Geosci., 21, 199-236.
44. Madariaga, R., 1976. The dynamics of an expanding circular fault, Bull. seism. Soc. Am., 66, 639-666.
45. Malagnini, L., Herrmann, R.B. & Koch, K., 2000. Regional ground-motion scaling in central Europe, Bull. seism. Soc. Am., 90, 1052-1061.
46. Mayeda, K. & Malagnini, L., 2010. Source radiation invariant property of local and near-regional shear-wave coda: application to source scaling for the M-w 5.9 Wells, Nevada sequence, Geophys. Res. Lett., 37, L07306, doi:.
47. Mayeda, K. & Walter, W.R., 1996. Moment, energy, stress drop, and source spectra of western United States earthquakes from regional coda envelopes, J. geophys. Res., 101, 11195-11208.
48. Miller, S.A., Ben-Zion, Y. & Burg, J.-P., 1999. A three-dimensional fluid controlled earthquake model: behaviour and implications, J. geophys. Res., 104, 10621-10638.
49. BSSC, Building Seismic Safety Council, 2003. The 2003 NEHRP Recommended provisions for new buildings and other structures, Part 1: provisions (FEMA 450),.
50. Newmark, N.M., & Hall, W.J., 1982. Earthquake Spectra and Design, Monograph prepared for Earthquake Engineering Research Institute, Berkeley, California.
51. Ottemöller, L., 2002. Lg wave Q tomography in Central America, Geophys. J. Int., 150, 295-302.
52. Ottemöller, L. & Havskov, J., 2003. Moment magnitude determination for local and regional earthquakes based on source spectra, Bull. seism. Soc. Am., 93, 203-214.
53. Park, J., Lindberg, C.R. & Vernon, F.L., 1987. Multitaper spectral analysis of high frequency seismograms, J. geophys. Res., 92, 12675-12684.
54. Poggi, V., Edwards, B. & Fäh, D., 2010. Derivation of a reference shear-wave velocity model from empirical site amplification, Bull. seism. Soc. Am., in press, doi:.
55. Pozo, R., 2004. Template numerical toolkit, [online]. Available at: (May 2009).
56. Press, W.H., Teukolsky, S.A., Vetterling, W.T. & Flannery, B.P., 1997. Numerical Recipes in C: The Art of Scientific Computing, 2nd edn, Cambridge University Press, pp. 278-281, 288-290, 417-424, and 515-518.
57. Raoof, M., Herrmann, R.B. & Malagnini, L., 1999. Attenuation and excitation of three component ground motion in southern California, Bull. seism. Soc. Am., 89, 888-902.
58. Renault, P., Heuberger, S. & Abrahamson, N.A., 2010. PEGASOS Refinement Project: an improved PSHA for Swiss nuclear power plants, in Proceedings of 14ECEE- European Conference of Earthquake Engineering, Ohrid, Republic of Macedonia, Paper ID 991.
59. Rietbrock, A. 2001. P wave attenuation structure in the fault area of the 1995 Kobe earthquake, J. geophys. Res., 106, 4141-4154.
60. Sonley, E. & Abercrombie, R.E., 2006. Effects of methods of attenuation correction on source parameter determination, in Earthquakes: Radiated Energy and the Physics of Faulting. Geophys. Monogr. Ser., Vol. 170, pp. 91-97, eds Abercrombie, R.E., McGarr, A., Kanamori, H. & Di Toro, G., American Geophysical Union, Washington, D.C.
61. Steidl, J.H., Tumarkin, A.G. & Archuleta, R.J., 1996. What is a reference site?, Bull. seism. Soc. Am., 86, 1733-1748.
62. Uhrhammer, R.A. & Collins, E.R., 1990. Synthesis of Wood Anderson seismograms from broadband digital records, Bull. seism. Soc. Am., 80, 702-716.
63. Viegas, G., Abercrombie, R.E. & Kim, W.-Y., 2010. The 2002 M5 Au Sable Forks, NY, earthquake sequence: source scaling relationships and energy budget. J. geophys. Res., 115, B07310, doi:.
64. Wessel, P. & Smith, W.H.F., 1991. Free software helps map and display data. EOS Trans. Am. geophys. Un., 72, 441, 445-446.
65. Wessel, P. & Smith, W.H.F., 1998. New, improved version of the Generic Mapping Tools Released, EOS Trans. Am. geophys. Un., 79, 579.
66. Woessner, J. & Wiemer, S., 2005. Assessing the quality of earthquake catalogues: estimating the magnitude of completeness and its uncertainty, Bull. seism. Soc. Am., 95, 684-698.