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Optimization method of fi rst-arrival waveform inversion based on the L-BFGS algorithm 认领 引用 被引量：1
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作者 Zhang Kai Xu Xin +3 位作者 Liu Hong-Xing Xu Yi-Peng Li Zhen-Chun Jiang Ping 《Applied Geophysics》 SCIE CSCD 2021年第4期515-524,593,594,共10页
The fi rst arrival waveform inversion(FAWI)has a strong nonlinearity due to the objective function using L2 parametrization.When the initial velocity is not accurate,the inversion can easily fall into local minima.In ... The fi rst arrival waveform inversion(FAWI)has a strong nonlinearity due to the objective function using L2 parametrization.When the initial velocity is not accurate,the inversion can easily fall into local minima.In the full waveform inversion method,adding a cross-correlation function to the objective function can eff ectively reduce the nonlinearity of the inversion process.In this paper,the nonlinearity of this process is reduced by introducing the correlation objective function into the FAWI and by deriving the corresponding gradient formula.We then combine the first-arrival wave travel-time tomography with the FAWI to form a set of inversion processes.This paper uses the limited memory Broyden-Fletcher-Goldfarb-Shanno(L-BFGS)algorithm to improve the computational effi ciency of inversion and solve the problem of the low effi ciency of the FAWI method.The overthrust model and fi eld data test show that the method used in this paper can eff ectively reduce the nonlinearity of inversion and improve the inversion calculation effi ciency at the same time. 展开更多
关键词 first-arrival travel-time tomography first-arrival waveform inversion cross-correlation objective function L-BFGS algorithm
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Study of frequency domain full waveform inversion based on Huber norm and L-BFGS algorithm 认领 引用
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作者 WEI Yajie HAN Liguo +2 位作者 DUAN Chaoran WANG Hongye GUO Kun 《Global Geology》 2014年第4期238-242,共5页
Full waveform inversion( FWI) is a high resolution inversion method,which can reveal detailed information of the structure and lithology under complex geological background. It is limited by many kinds of noises when ... Full waveform inversion( FWI) is a high resolution inversion method,which can reveal detailed information of the structure and lithology under complex geological background. It is limited by many kinds of noises when the method applied to the real seismic data. Based on Huber function criterion,the objective function combinates the anti-noise of L1 norm and the stability of L2 norm in theory,the authors derive the gradient formula 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 applied to the frequency domain FWI with the convergence speed and high calculation accuracy,and can effectively reduce computer memory usage; and the Huber function is more robust and stable than L2 norm even with the noises. 展开更多
关键词 full waveform inversion Huber function L-BFGS algorithm anti-noise
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