Time-Frequency Domain Multi-Scale Full Waveform Inversion Based On Adaptive Non-Stationary Phase Correction

Author(s):  
Y. Hu ◽  
L. Han ◽  
P. Zhang ◽  
Q. Ge
2019 ◽  
Vol 16 (6) ◽  
pp. 1017-1031 ◽  
Author(s):  
Yong Hu ◽  
Liguo Han ◽  
Rushan Wu ◽  
Yongzhong Xu

Abstract Full Waveform Inversion (FWI) is based on the least squares algorithm to minimize the difference between the synthetic and observed data, which is a promising technique for high-resolution velocity inversion. However, the FWI method is characterized by strong model dependence, because the ultra-low-frequency components in the field seismic data are usually not available. In this work, to reduce the model dependence of the FWI method, we introduce a Weighted Local Correlation-phase based FWI method (WLCFWI), which emphasizes the correlation phase between the synthetic and observed data in the time-frequency domain. The local correlation-phase misfit function combines the advantages of phase and normalized correlation function, and has an enormous potential for reducing the model dependence and improving FWI results. Besides, in the correlation-phase misfit function, the amplitude information is treated as a weighting factor, which emphasizes the phase similarity between synthetic and observed data. Numerical examples and the analysis of the misfit function show that the WLCFWI method has a strong ability to reduce model dependence, even if the seismic data are devoid of low-frequency components and contain strong Gaussian noise.


2020 ◽  
Vol 178 ◽  
pp. 104078
Author(s):  
Khiem T. Tran ◽  
Trung Dung Nguyen ◽  
Dennis R. Hiltunen ◽  
Kenneth Stokoe ◽  
Farnyuh Menq

2021 ◽  
Author(s):  
Jinwei Fang ◽  
Qingchen Zhang ◽  
Jun Zhang ◽  
Shengdong Liu ◽  
Bo Wang ◽  
...  

2011 ◽  
Vol 8 (4) ◽  
pp. 303-310 ◽  
Author(s):  
Jian-Yong Song ◽  
Xiao-Dong Zheng ◽  
Zhen Qin ◽  
Ben-Yu Su

Geophysics ◽  
2013 ◽  
Vol 78 (6) ◽  
pp. R249-R257 ◽  
Author(s):  
Maokun Li ◽  
James Rickett ◽  
Aria Abubakar

We found a data calibration scheme for frequency-domain full-waveform inversion (FWI). The scheme is based on the variable projection technique. With this scheme, the FWI algorithm can incorporate the data calibration procedure into the inversion process without introducing additional unknown parameters. The calibration variable for each frequency is computed using a minimum norm solution between the measured and simulated data. This process is directly included in the data misfit cost function. Therefore, the inversion algorithm becomes source independent. Moreover, because all the data points are considered in the calibration process, this scheme increases the robustness of the algorithm. Numerical tests determined that the FWI algorithm can reconstruct velocity distributions accurately without the source waveform information.


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