Study of frequency domain full waveform inversion based on Huber norm and L-BFGS algorithm |
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| Authors: | WEI Yajie HAN Liguo DUAN Chaoran WANG Hongye GUO Kun |
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| Institution: | College of Geo- Exploration Science and Technology，Jilin University，Changchun 130026，China |
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| Abstract: | Full waveform inversion (FWI) is a high resolution inversion method，which can reveal detailed in- formation of the structure and lithology under complex geological background． It is limited by many kinds of noi- ses when the method applied to the real seismic data． Based on Huber function criterion，the objective function combinates the anti- noise of L 1 norm and the stability of L 2 norm in theory，the authors derive the gradient for- mula of the Huber function by using L- BFGS algorithm for FWI． The new method is proved by synthetic seismic data with the Gaussian noise and the impulse noise． Numerical test results show that L- BFGS algorithm is ap- plied to the frequency domain FWI with the convergence speed and high calculation accuracy，and can effec- tively reduce computer memory usage; and the Huber function is more robust and stable than L 2 norm even with the noises． |
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| Keywords: | full waveform inversion Huber function L-BFGS algorithm anti-noise |
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