Theory of efficient array observations of microtremors with special reference to the SPAC method

Exploration Geophysics

Volumn 37, Issue 1, 2006, Pages 73-85

  Okada, Hiroshi ^a  

^a NONE   (Japan)

Author keywords

Bessel functions; Efficient circular array; Microtremor method; Rayleigh waves; SPAC coefficient

Indexed keywords

EID: 85009348435     PISSN: 08123985     EISSN: 18347533     Source Type: Journal    
DOI: 10.1071/EG06073     Document Type: Article

References (47)

1. Aki, K., 1957, Space and time spectra of stationary stochastic waves, with special reference to microtremors: Bulletin of the Earthquake Research Institute, 35, 415-456.
2. Aki, K., 1965, A note on the use of microseisms in determining the shallow structures of the earth's crust: Geophysics, 30, 665-666.
3. Aki, K., Tsujiura, M., Hori, M., and Goto, K., 1958, Spectral study of near earthquake waves (1): Bulletin of the Earthquake Research Institute, 36, 71-98.
4. Arfken, G.B., and Weber, H.J., 2001, Mathematical Methods for Physicists (5th edition): Academic Press.
5. Apostolidis, P., Raptakis, D., Roumelioti, Z., and Pitilakis, K., 2004, Determination of S-wave velocity structure using microtremors and spac method applied in Thessaloniki (Greece): Soil Dynamics and Earthquake Engineering, 24, 49-67.
6. Asten, M.W., 2003, Lessons from alternative array design used for high-frequency microtremor array studies: In Earthquake Risk Mitigation, Wilson, J.L., Lam, N.K., Gibson, G.M., and Butler, B., Proceedings of a Conference of the Australian Earthquake Engineering Society, Melbourne, Paper No. 14.
7. lh Geophysical Conference and Exhibition, Australian Society of Exploration Geophysicists, Extended Abstracts.
8. Asten, M.W., 2005, On bias and noise in passive seismic data from finite circular array data processed using SPAC methods: (preprint).
9. Asten, M.W., and Henstridge, J.D., 1984, Array estimators and the use of microseisms for reconnaissance of sedimentary basins: Geophysics, 49, 1828-1837.
10. Asten, M.W., Dhu, T., and Lam, N., 2004, Optimised array design for microtremor array studies applied to site classification; observations, results and future use: Conference Proceedings of the 13th World Conference of Earthquake Engineering, Paper 2903.
11. Capon, J., 1969, High-resolution frequency-wavenumber spectrum analysis: Proceedings of the Institute of Electrical and Electronics Engineers, 57, 1408-1418.
12. Chatfield, C., 1989, The Analysis of Time Series, an Introduction, 4th edition: Chapman and Hall.
13. Cho, I., Tada, T., and Shinozaki, Y., 2004, A new method to determine phase velocities of Rayleigh waves from microseisms: Geophysics, 69, 1535-1551.
14. Chouet, B., De Luca, G., Milana, G., Dawson, P., Martini, M., and Scarpa, R., 1998, Shallow velocity structure of Stromboli Volcano, Italy, derived from small- aperture array measurements of Strombolian tremor: Bulletin of the Seismological Society of America, 88, 653-666.
15. Henstridge, J.D., 1979, A signal processing method for circular arrays: Geophysics, 44, 179-184.
16. Hidaka, E., 1985, Phase velocity of Rayleigh waves and S-wave velocity distribution estimated from long-period microtremors: M.Sc. thesis (unpublished), Hokkaido University.
17. Horike, M., 1985, Inversion of phase velocity of long-period microtremors to the S-wave-velocity structure down to the basement in urbanized areas: Journal of Physics of the Earth, 33, 59-96.
18. Hough, S.E., Seeber, L., Rovelli, A., Malagnini, L., DeCesare, A., Selveggi, G., and Lerner-Lam, A., 1992, Ambient noise and weak-motion excitation of sediment resonances: Results from the Tiber Valley, Italy: Bulletin of the Seismological Society of America, 82, 1186-1205.
19. Kudo, K., Kanno, T., Okada, H., Ozel, O., Erdik, M., Sasatani, T., Higashi, S., Takahashi, M., and Yoshida, K., 2002, Site specific issues for strong ground motions during the Kocaeli, Turkey Earthquake of August 17, 1999, as inferred from array observations of microtremors and aftershocks: Bulletin of the Seismological Society of America, 92, 448-465.
20. Lacoss, R…, Kelly, E.J., and Toksoz, M.N., 1969, Estimation of seismic noise structure using arrays: Geophysics, 34, 21-38.
21. Malagnini, L., Rovelli, A., Hough, S.E., and Seeber, L., 1993, Site amplification estimates in the Garigliano Valley, central Italy, based on dense array measurements of ambient noise: Bulletin of the Seismological Society of America, 83, 1744-1755.
22. Matsuoka, T., Umezawa, N., and Makishima, H., 1996, Experimental studies on the applicability of the spatial autocorrelation method for estimation of geological structures using microtremors: Butsuri Tansa, 49, 26-41.
23. Matsuoka, T., and Shiraishi, H., 2002, Application of an exploration method using microtremor array observations for high resolution surveys of deep geological structures in the Kanto plains - Estimation of 3-D S-wave velocity structure in the southern part of Saitama prefecture: Butsuri Tansa, 55, 127-143.
24. Matsushima, T. and Okada, H., 1989, A few remarks of the scheme of observation and analysis in estimating deep geological structures by using long-period microtremors: Geophysical Bulletin of Hokkaido University, 52, 1-10.
25. Matsushima, T. and Ohshima, H., 1989, Estimation of underground structures using long-period microtremors - Kuromatsunai Depression, Hokkaido: Butsuri Tansa, 42, 97-105.
26. Matsushima, T. and Okada, H., 1990, Determination of deep geological structures under urban areas: Butsuri Tansa, 43, 21-33.
27. Miyakoshi, K., Okada, H., Sasatani, T., Moriya, T., Ling, S., and Saito, S., 1994, Estimation of geological structure under ESG blind prediction test sites in Odawara city by using microtremors: Journal of the Seismological Society of Japan, 47, 273-285.
28. Miyakoshi, K., Okada, H., and Ling, S., 1996, Maximum wavelength possible to estimate phase velocities of surface waves in microtremors: Proceedings of the 94th SEGJ Conference, 178-182.
29. Morikawa, H., Sawada, S., and Akamatsu, J., 2004, A method to estimate phase velocities of Rayleigh waves using microseisms simultaneously observed at two sites: Bulletin of the Seismological Society of America, 94, 961-976.
30. Nguyen, F., Rompaey, V., Teerlynck, H., Van Camp, M., Jongmans, D., and Camelbeeck, T., 2004, Use of microtremor measurement for assessing site effects in Northern Belgium -interpretation of the observed intensity during the Ms=5.0 June 11 1938 earthquake: Journal of Seismology, 8, 41-56.
31. Okada, H., 1998, Microtremors as an exploration method: Geo-exploration Handbook, vol.2, Society of Exploration Geophysicists of Japan.
32. Okada, H., 2003, The Microtremor Survey Method (translated by Koya Suto): Geophysical Monograph Series, No.12, Society of Exploration Geophysicists.
33. Okada, H., and Sakajiri, N., 1983, Estimates of an S-wave velocity distribution using long-period microtremors: Geophysical Bulletin of Hokkaido University, 42, 119-143.
34. Okada, H., Matsushima, T., and Hidaka, E., 1987, Comparison of spatial autocorrelation method and frequency-wavenumber spectral method of estimating the phase velocity of Rayleigh waves in long-period microtremors: Geophysical Bulletin of Hokkaido University, 49, 53-62.
35. Okada, H., Matsushima, T., Moriya, T., and Sasatani, T., 1990, An exploration technique using long-period microtremors for determination of deep geological structures under urbanized areas: Butsuri Tansa, 43, 402-417.
36. Okada, H., Matsuoka, T., Shiraishi, H., and Hachinohe, S., 2003, Spatial autocorrelation algorithm for the microtremor survey method using semicircular arrays: Proceedings of the 109th SEGJ Conference, 183-186.
37. Priestley, M.B., 1981, Spectral Analysis and Time Series: Academic Press.
38. Roberts, J.C., and Asten, M.W., 2004, Resolving a velocity inversion at the geotechnical scale using the microtremor (passive seismic) survey method: Exploration Geophysics, 35, 14-18.
39. Roberts, J.C., and Asten, M.W., 2005, Estimating the shear velocity profile of Quaternary silts using microtremor array (SPAC) measurements: Exploration Geophysics, 36, 34-40.
40. Sasatani, T. (Head Investigator), 2000, Earthquake disaster evaluation based on estimation of deep underground structure and observation of strong ground motion in deep sedimentary basins: A Report of the Study on Fundamental Science with Grant-in-Aid for Scientific Research (B)(2) by the Ministry of Education, No. 10480090, 164pp.
41. Sasatani, T., Yoshida, K., Okada, H., Nakano, O., Kobayashi, T., and Ling, S., 2001, Estimation of deep subsurface structures and observation of strong ground motions in Sapporo urban districts: J. JSNDS, 20, 325-342.
42. Sheriff, R.E., and Geldart, L.P., 1983, Exploration Seismology, vol. 2: Cambridge University Press.
43. nd edition): Cambridge University Press.
44. Yaglom, A.M., 1962, An introduction to the theory of stationary random functions (translated and edited by R.A. Silverman): Dover Publications Inc.
45. Yamamoto, H., Iwamoto, K., Saito, T., and Yoshida, A., 1997, Discussion on sensor location in circular array for spatial autocorrelation method: Proceedings of the 96th SEGJ Conference, 444-447.
46. Yamanaka, H., Takemura, M., Ishida, H., Ikeura, T., Nozawa, T., Sasaki, T., and Niwa, M., 1994, Array measurements of long-period microtremors and estimation of S-wave velocity structure in the western part of the Tokyo metropolitan area: Journal of the Seismological Society of Japan, 47, 163-172.
47. Yamanaka, H., Sato, H., Kurita, K., and Seo, K., 1999, Array measurements of long- period microtremors in southwestern Kanto plain, Japan, - Estimation of S-wave profiles in Kawasaki and Yokohama cities: Journal of the Seismological Society of Japan, 51, 355-365.