Abstract
We studied finite-element-method-based two-dimensional frequency-domain acoustic FWI under rugged topography conditions. The exponential attenuation boundary condition suitable for rugged topography is proposed to solve the cutoff boundary problem as well as to consider the requirement of using the same subdivision grid in joint multifrequency inversion. The proposed method introduces the attenuation factor, and by adjusting it, acoustic waves are sufficiently attenuated in the attenuation layer to minimize the cutoff boundary effect. Based on the law of exponential attenuation, expressions for computing the attenuation factor and the thickness of attenuation layers are derived for different frequencies. In multifrequency-domain FWI, the conjugate gradient method is used to solve equations in the Gauss–Newton algorithm and thus minimize the computation cost in calculating the Hessian matrix. In addition, the effect of initial model selection and frequency combination on FWI is analyzed. Examples using numerical simulations and FWI calculations are used to verify the efficiency of the proposed method.
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Zhang Qian-Jiang received his M.S. (2011) in Earth Exploration and Information Technology from China University of Petroleum (Beijing). He is presently a Ph.D. candidate in Geological Resources and Geological Engineering at Central South University. His main interests are forward modeling and inversion of seismic and electromagnetic data.
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Zhang, QJ., Dai, SK., Chen, LW. et al. Two-dimensional frequency-domain acoustic full-waveform inversion with rugged topography. Appl. Geophys. 12, 378–388 (2015). https://doi.org/10.1007/s11770-015-0510-4
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DOI: https://doi.org/10.1007/s11770-015-0510-4