Novel first-order <i>k</i>-space formulations for wave propagation by asymmetrical factorization of space-wavenumber domain wave propagators

Geophysics - Tập 87 Số 6 - Trang T417-T433 - 2022
Hongyu Zhou1, Yang Liu2, Jing Wang1, Yuanyuan Ma3
1State Key Laboratory of Petroleum Resources and Prospecting and CNPC Key Laboratory of Geophysical Prospecting, China University of Petroleum (Beijing), Beijing, China.
2State Key Laboratory of Petroleum Resources and Prospecting and CNPC Key Laboratory of Geophysical Prospecting, Beijing, China and China University of Petroleum (Beijing), Karamay Campus, Karamay, Xinjiang, China. (corresponding author)
3University of Calgary, calgary, Alberta, canada

Tóm tắt

Wave-equation simulation based on the k-space method produces nearly dispersion-free wavefields and enhances simulation stability. However, for simulation in heterogeneous media, the conventional first-order k-space method requires many mixed-domain operators, which are the most expensive part of the wave-extrapolation process. We have analyzed and summarized the problem of the conventional k-space method as symmetrical factorization of the wave propagators. Based on this analysis, we develop a novel asymmetrical factorization-based k-space method that can significantly reduce the number of mixed-domain operators without compromising modeling accuracy. By using this method, the number of mixed-domain operators is reduced by half, and thus, the computational cost decreases significantly. Furthermore, we have compared our method to the conventional pseudospectral method. The comparison finds that, at comparable accuracy, our method is more efficient due to its ability to use a larger time step. Acoustic and elastic examples demonstrate the correctness and effectiveness of our method.

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Geophysics

Tập 87 Số 6

T417-T433

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