한국지구물리탐사학회:학술대회논문집

Korean Society of Earth and Exploration Geophysicists (한국지구물리·물리탐사학회)
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Frequency Domain Waveform Inversion Using $l_1$ -norm

$l_1$-norm을 이용한 주파수 영역 파형역산

  • Pyun, Suk-Joon (Computational Science & Technology Program, Seoul National Univ.) ;
  • Shin, Chang-Soo (Energy System Engineering Dept., Seoul National Univ.)
  • 편석준 (서울대학교 계산과학협동과정) ;
  • 신창수 (서울대학교 에너지시스템공학부)
  • Published : 2007.06.07
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Abstract

A robust objective function in the frequency domain is applied to the acoustic full waveform inversion. The proposed objective function is defined as $l_1$-norm of residual wavefields in the frequency domain. Generally, the full waveform inversion is extremely sensitive to a number of factors such as parameterization, initial model, noise and so on. The numerical tests were performed for checking the sensitivity to attenuation and several noises. For the comparison with other objective functions, the conventional least-squares method and the logarithmic method were tested under the same condition. The synthetic data examples show that the proposed algorithm is more robust than the well-known methods.

Keywords