Abstract
Laplace-Fourier (L-F) domain finite-difference (FD) forward modeling is an important foundation for L-F domain full-waveform inversion (FWI). An optimal modeling method can improve the efficiency and accuracy of FWI. A flexible FD stencil, which requires pairing and centrosymmetricity of the involved gridpoints, is used on the basis of the 2D L-F domain acoustic wave equation. The L-F domain numerical dispersion analysis is then performed by minimizing the phase error of the normalized numerical phase and attenuation propagation velocities to obtain the optimization coefficients. An optimal FD forward modeling method is finally developed for the L-F domain acoustic wave equation and applied to the traditional standard 9-point scheme and 7- and 9-point schemes, where the latter two schemes are used in discontinuous-grid FD modeling. Numerical experiments show that the optimal L-F domain FD modeling method not only has high accuracy but can also be applied to equal and unequal directional sampling intervals and discontinuous-grid FD modeling to reduce computational cost.
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Acknowledgment
This work was supported by the National Natural Science Foundation of China (no. 41604037), Natural Science Foundation of Hubei Province (no. 2022CFB125), the Open Fund of Key Laboratory of Exploration Technologies for Oil and Gas Resources (Yangtze University), Ministry of Education (no. K2021-09) and College Students’ Innovation and Entrepreneurship Training Program (no. 2019053).
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Jing-Yu Wang received her Bachelor’s degree in Geophysics from Yangtze University in 2022. Currently she is pursuing a Master’s degree at Chiba University. She focuses on the study of seismicity.
Na Fan received the B.S. degree in geophysics from Wuhan University, Wuhan, China, in 2010, and the Ph.D. degree from the Institute of Geology and Geophysics, Chinese Academy of Science, Beijing, China, in 2015. She is currently an Associate Professor at the Yangtze University, Wuhan. Her research interests include seismic data processing, forward modeling, inversion, and imaging.
Xue-Fei Chen received her Ph.D. degree from Chengdu University of Technology. She is currently a Lecturer at the Yangtze University. Her major is exploration and information technology, and her main research interests are reservoir prediction and geological interpretation.
Shou-Rui Zhong obtained a Bachelor’s degree in Geophysics from Yangtze University in 2021 and is currently pursuing a Master’s degree in Solid Earth Geophysics at China University of Geosciences (Wuhan) with a research focus on ambient noise seismology.
Bo-Yu Li obtained his Bachelor’s degree in Geophysics from Yangtze University in 2021. His major is geophysics, and his main research interests are rock physics and seismic exploration.
Dan Li obtained her Bachelor’s degree in Geophysics from Yangtze University in 2022. Currently she is pursuing a Master’s degree at China University of Geosciences (Beijing). Her major is earth exploration and information technology, and main research interest is seismic data processing.
Gang Zhao received his Bachelor’s degree in Geophysics from Yangtze University in 2022. He currently works for Henan Oilfield Branch of China Petroleum and Chemical Corporation.
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Wang, JY., Fan, N., Chen, XF. et al. 2D Laplace-Fourier domain acoustic wave equation modeling with an optimal finite-difference method. Appl. Geophys. (2023). https://doi.org/10.1007/s11770-023-1009-z
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DOI: https://doi.org/10.1007/s11770-023-1009-z