Article : Signal reconstruction of surface waves on SASW measurement using Gaussian Derivative wavelet transform
Authors : Yamasaki, K.Department of Earth and Planetary Sciences, Faculty of Science, Kobe University, Nada, Kobe, Japan, firstname.lastname@example.org, Teisseyre, R.Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, email@example.com, Herak, M.University of Zagreb, Faculty of Science and Mathematics, Department of Geophysics, Zagreb, Croatia, firstname.lastname@example.org, Rosyidi, S. A. P.Department of Civil Engineering, Muhammadiyah University of Yogyakarta, Yogyakarta, Indonesia, email@example.com,
Abstract : Surface wave method consists of measurement and processing of the dispersive Rayleigh waves recorded from two or more vertical transducers. The dispersive phase data are inverted and the shear wave velocity versus depth is obtained. However, in case of residual soil, the reliable phase spectrum curve is difficult to be produced. Noises from nature and other human-made sources disturb the generated surface wave data. In this paper, a continuous wavelet transform based on mother wavelet of Gaussian Derivative was used to analyze seismic waves in different frequency and time. Time-frequency wavelet spectrum was employed to localize the interested seismic response spectrum of generated surface waves. It can also distinguish the fundamental mode of the surface wave from the higher modes of reflected body waves. The results presented in this paper showed that the wavelet analysis is able to determine reliable surface wave spectrum of sandy clayey residual soil.
Bibliography : Daubechies, I. (1992), Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, New York.
Farge, M. (1992), Wavelet transform and their application to turbulence, Ann. Rev. Fluid Mech. 24, 395-457
Foufoula-Georgiou, E., and P. Kumar (1995), Wavelets in Geophysics, Academic Press, San Diego.
Ganji, V., N. Gucunski, and S. Nazarian (1998), Automated inversion procedure for spectral analysis of surface waves, J. Geotech. Geoenviron. Engrg. 124, 8, 757-770.
Heisey, J.S., K.H. Stokoe II, and A.H. Meyer (1982), Moduli of pavement system from spectral analysis of surface wave, Transportation Res. Rec. 852, 22-31.
Jones, R.B. (1958), In-situ measurement of the dynamic properties of soil by vibration methods, Geotechnique 8, 1, 1-21.
Kaiser, G. (1994), A Friendly Guide to Wavelets, Birkhäuser, Boston.
Li, Y., and D. Tang (2005), Background noise identification and attenuation Rusing point receiver seismic data, SEG Expanded Abstracts 24, 2205-2208.
Liu, P.C. (1995), Wavelet spectrum analysis and ocean wind waves. In: E. Foufoula-Georgiou and P. Kumar (eds.), Wavelets in Geophysics, Academic Press, San Diego, 151-166.
Mallat, S. (1989), A theory for multiresolution signal decomposition: The wavelet representation, IEEE Trans. Pattern Anal. 11, 674-693.
Meyers, S.D., B.G. Kelly, and J.J. O’Brien (1993), An introduction to wavelet analysis in oceanography and meteorology: With application to the dispersion of Yanai waves, Monthly Weath. Rev. 121, 2858-2866.
Nazarian, S. (1984), In situ determination of elastic moduli of soil deposits and pavement systems by spectral-analysis-of-surface-wave method, Ph.D. Dissertation, The University of Texas at Austin.
Nazarian, S., and K.H. Stokoe II (1986), In situ determination of elastic moduli of pavement systems by Spectral-Analysis-of-Surface-Wave method (theoretical aspects), Research Report 437-2, Center of Transportation Research. Bureau of Engineering Research, The University of Texas at Austin.
Soman, K.P., and K.I. Ramachandran (2005), Insight into Wavelets from Theory to Practice, Prentice-Hall, India.
Stokoe II, K.H., S.G. Wright, J.A. Bay, and J.M. Röesset (1994), Characterization of geotechnical sites by SASW method. In: R.D. Woods (ed.), Geophysical Characterization of Sites, ISSMFE Techn. Comm. 10, Oxford Publishers, 15-25.
Torrence, C., and G.P. Compo (1998), A practical guide to wavelet analysis, Bull. Am. Meteor. Soc. 79, 1, 61-78.
Wang, B., and Y. Wang (1996), Temporal structure of the Southern Oscillation as revealed by waveform and wavelet analysis, J. Climate 9, 1586-1598.
Weng, H., and K.M. Lau (1994), Wavelets, period doubling and time-frequency localization with application to organization of convection over the tropi cal western Pacific, J. Atmos. Sci. 51, 2523-2534,
Qute : Yamasaki, K. ,Teisseyre, R. ,Herak, M. ,Rosyidi, S. A. P. ,Rosyidi, S. A. P. , Signal reconstruction of surface waves on SASW measurement using Gaussian Derivative wavelet transform. Acta Geophysica Vol. 57, no. 3/2009