2D Laplace–Fourier domain acoustic wave equation modeling with an optimal finite-difference method
Wang Jing-Yu, Fan Na*, Chen Xue-Fei, Zhong Shou-Rui, Li Bo-Yu, Li Dan, Zhao Gang
1. Key Laboratory of Exploration Technologies for Oil and Gas Resources (Yangtze University), Ministry of Education,
Wuhan 430100, China.
2. College of Geophysics and Oil Resources, Yangtze University, Wuhan 430100, China.
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 effi ciency and accuracy of FWI. A fl exible 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 fi nally 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.
Fund: 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).
Corresponding Authors: Fan Na (Email: fanna@yangtzeu.edu.cn).
E-mail: fanna@yangtzeu.edu.cn
About author: 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.Email: fanna@yangtzeu.edu.cn
Cite this article:
. 2D Laplace–Fourier domain acoustic wave equation modeling with an optimal finite-difference method[J]. APPLIED GEOPHYSICS, 2025, 22(1): 119-131.
2025, Vol. 22 
