• Title/Summary/Keyword: Gauss-Newton algorithm

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Time-domain Seismic Waveform Inversion for Anisotropic media (이방성을 고려한 탄성매질에서의 시간영역 파형역산)

  • Lee, Ho-Yong;Min, Dong-Joo;Kwon, Byung-Doo;Yoo, Hai-Soo
    • 한국지구물리탐사학회:학술대회논문집
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    • 2008.10a
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    • pp.51-56
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    • 2008
  • The waveform inversion for isotropic media has ever been studied since the 1980s, but there has been few studies for anisotropic media. We present a seismic waveform inversion algorithm for 2-D heterogeneous transversely isotropic structures. A cell-based finite difference algorithm for anisotropic media in time domain is adopted. The steepest descent during the non-linear iterative inversion approach is obtained by backpropagating residual errors using a reverse time migration technique. For scaling the gradient of a misfit function, we use the pseudo Hessian matrix which is assumed to neglect the zero-lag auto-correlation terms of impulse responses in the approximate Hessian matrix of the Gauss-Newton method. We demonstrate the use of these waveform inversion algorithm by applying them to a two layer model and the anisotropic Marmousi model data. With numerical examples, we show that it's difficult to converge to the true model when we assumed that anisotropic media are isotropic. Therefore, it is expected that our waveform inversion algorithm for anisotropic media is adequate to interpret real seismic exploration data.

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