Noise Attenuation of Marine Seismic Data with a 2-D Wavelet Transform

2-D 웨이브릿 변환을 이용한 해양 탄성파탐사 자료의 잡음 감쇠

  • Published : 2008.11.30


Seismic data is often contaminated with high-energy, spatially aliased noise, which has proven impractical to attenuate using Fourier techniques. Wavelet filtering, however, has proven capable of attacking several types of localized noise simultaneously regardless of their frequencies. In this study a 2-D stationary wavelet transform is used to decompose seismic data into its wavelet components. A threshold is applied to these coefficients to attenuate high amplitude noise, followed by an inverse transform to reconstruct the seismic trace. The stationary wavelet transform minimizes the phase-shift errors induced by thresholding that occur when the conventional discrete wavelet transform is used.


  1. Sergio L.M. Freire and Tad J. Ulrych, "Application of SVD to vertical seismic profiling", Geophysics, Vol. 53, No. 6, pp. 778-785, 1988
  2. C.H. Hemon and D. Mace, "Use of the K-L transform in seismic data processing", Geophysical Prospecting, Vol. 26, No. 3, pp. 600- 626, 1978
  3. I.F. Jones and S. Levy, "S/N ratio enhancement in multichannel seismic data via K-L transform", Geophysical Prospecting, Vol. 35, No. 1, pp. 12-32, 1987
  4. 과학기술처, "한반도 주변해역 해저퇴적물의 음향학적 특성연구(II)", 해양연구원 연구보고서, 1990
  5. Juliette W. Ioup and George E. Ioup, "Noise removal and compression using a wavelet transform", 1998 Expanded Abstracts, Society of Exploration Geophysicists, 1998
  6. Xiaogui Miao and Scott Cheadle, "Noise attenuation with Wavelet transforms", 1998 Expanded Abstracts, Society of Exploration Geophysicists, 1998
  7. R. Zhang and T.J. Ulrych, "Physical wavelet frame denoising", Geophysics, Vol. 68, No. 1, pp. 225 -231, 2003
  8. S. Mallat, "A theory for multiresolution signal decomposition: the wavelet representation," IEEE Pattern Anal. and Machine Intell., Vol. 11, No. 7, pp. 674-693, 1989
  9. J.C. Pesquet, H. Krim, H. Carfatan, "Time-invariant orthonormal wavelet representations," IEEE Trans. Sign. Proc., Vol. 44, No. 8, pp. 1964-1970, 1996