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JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 109, B07301, doi:10.1029/2003JB002883, 2004

Information passage from acoustic impedance to seismogram: Perspectives from wavelet-based multiscale analysis

Chun-Feng Li

Ministry of Education Laboratory of Marine Geology, Tongji University, Shanghai, China


Abstract

Traditional seismic interpretation of surface seismic data is focused primarily on seismic oscillation. Rich singularity information carried by, but deeply buried in, seismic data is often ignored. We show that wavelet-based singularity analysis reveals generic singularity information conducted from acoustic impedance to seismogram. The singularity exponents (known as Hölder exponent α) calculated from seismic data are independent of amplitude and robust to phase changes and noises. These unique properties of α offer potentially important application in many fields, especially in studying seismic data interpretation, processing, inversion, and wave attenuation.

Received 8 November 2003; accepted 29 April 2004; published 2 July 2004.

Keywords: singularity analysis; synthetic seismogram; wavelet transform.

Index Terms: 0902 Exploration Geophysics: Computational methods, seismic; 0910 Exploration Geophysics: Data processing; 0994 Exploration Geophysics: Instruments and techniques; 3250 Mathematical Geophysics: Fractals and multifractals; 9810 General or Miscellaneous: New fields (not classifiable under other headings).

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Citation: Li, C.-F. (2004), Information passage from acoustic impedance to seismogram: Perspectives from wavelet-based multiscale analysis, J. Geophys. Res., 109, B07301, doi:10.1029/2003JB002883.