한국지구물리탐사학회:학술대회논문집
- 한국지구물리탐사학회 2007년도 공동학술대회 논문집
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- Pages.329-336
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- 2007
향상된 슈도-헤시안 행렬을 이용한 탄성파 완전 파형역산
Frequency domain elastic full waveform inversion using the new pseudo-Hessian matrix: elastic Marmousi-2 synthetic test
- Choi, Yun-Seok (School of Civil, Urban and Geosystem Engineering, Seoul Nation University) ;
- Shin, Chang-Soo (School of Civil, Urban and Geosystem Engineering, Seoul Nation University) ;
- Min, Dong-Joo (Korea Ocean Research and Development Institute)
- 발행 : 2007.06.07
초록
For scaling of the gradient of misfit function, we develop a new pseudo-Hessian matrix constructed by combining amplitude field and pseudo-Hessian matrix. Since pseudo- Hessian matrix neglects the calculation of the zero-lag auto-correlation of impulse responses in the approximate Hessian matrix, the pseudo-Hessian matrix has a limitation to scale the gradient of misfit function compared to the approximate Hessian matrix. To validate the new pseudo- Hessian matrix, we perform frequency-domain elastic full waveform inversion using this Hessian matrix. By synthetic experiments, we show that the new pseudo-Hessian matrix can give better convergence to the true model than the old one does. Furthermore, since the amplitude fields are intrinsically obtained in forward modeling procedure, we do not have to pay any extra cost to compute the new pseudo-Hessian. We think that the new pseudo-Hessian matrix can be used as an alternative of the approximate Hessian matrix of the Gauss-Newton method.
키워드