Abstract
Although full waveform inversion in the frequency domain can overcome the local minima problem in the time direction, such problem still exists in the space direction because of the media subsurface complexity. Based on the optimal steep descent methods, we present an algorithm which combines the preconditioned bi-conjugated gradient stable method and the multi-grid method to compute the wave propagation and the gradient space. The multiple scale prosperity of the waveform inversion and the multi-grid method can overcome the inverse problems local minima defect and accelerate convergence. The local inhomogeneous three-hole model simulated results and the Marmousi model certify the algorithm effectiveness.
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This research was supported by the China State Key Science and Technology Project on Marine Carbonate Reservoir Characterization (No. 2011ZX05004-003), the Basic Research Programs of CNPC during the 12th Five-Year Plan Period (NO.2011A-3603), the Natural Science Foundation of China (No.41104066), and the RIPED Young Professional Innovation Fund (NO.2010-13-16-02, 2010-A-26-02).
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Song, JY., Zheng, XD., Qin, Z. et al. Multi-scale seismic full waveform inversion in the frequency-domain with a multi-grid method. Appl. Geophys. 8, 303–310 (2011). https://doi.org/10.1007/s11770-011-0304-2
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DOI: https://doi.org/10.1007/s11770-011-0304-2