Reflection full-waveform inversion using a modified phase misfit function
Cui Chao1,2, Huang Jian-Ping1,2, Li Zhen-Chun1,2, Liao Wen-Yuan3, and Guan Zhe4
1. School of Geosciences, China University of Petroleum (East China), Qingdao 266580, China.
2. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266071, China.
3. Department of Mathematics and Statistics, University of Calgary, Alberta, Canada T2N1N4.
4. Department of Earth Science, Rice University, Houston, Texas, 77005, Unite States.
Abstract：
Reflection full-waveform inversion (RFWI) updates the low- and high-wavenumber components, and yields more accurate initial models compared with conventional full-waveform inversion (FWI). However, there is strong nonlinearity in conventional RFWI because of the lack of low-frequency data and the complexity of the amplitude. The separation of phase and amplitude information makes RFWI more linear. Traditional phase-calculation methods face severe phase wrapping. To solve this problem, we propose a modified phase-calculation method that uses the phase-envelope data to obtain the pseudo phase information. Then, we establish a pseudophase-information-based objective function for RFWI, with the corresponding source and gradient terms. Numerical tests verify that the proposed calculation method using the phase-envelope data guarantees the stability and accuracy of the phase information and the convergence of the objective function. The application on a portion of the Sigsbee2A model and comparison with inversion results of the improved RFWI and conventional FWI methods verify that the pseudophase-based RFWI produces a highly accurate and efficient velocity model. Moreover, the proposed method is robust to noise and high frequency.
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2017, Vol. 14 
