2D Laplace–Fourier domain acoustic wave equation modeling with an optimal finite-difference method  

优化的Laplace-Fourier域二维声波方程有限差分正演模拟方法

作　　者：Wang Jing-Yu Fan Na Chen Xue-Fei Zhong Shou-Rui Li Bo-Yu Li Dan Zhao Gang 王婧羽;范娜;陈雪菲;钟守睿;李博煜;李丹;赵刚(油气资源与勘探技术教育部重点实验室(长江大学),武汉430100;长江大学地球物理与石油资源学院,武汉430100)

机构地区：[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

出　　处：《Applied Geophysics》2025年第1期119-131,234,共14页应用地球物理(英文版)

基　　金：National Natural Science Foundation of China(no.41604037);Natural Science Foundation of Hubei Province(no.2022CFB125);Open Fund of Key Laboratory of Exploration Technologies for Oil and Gas Resources(Yangtze University);Ministry of Education(no.K2021-09);College Students'Innovation and Entrepreneurship Training Program(no.2019053)。

摘　　要：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 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 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.Laplace-Fourier域有限差分正演模拟是Laplace-Fourier域全波形反演的重要基础,优化的正演模拟方法能够提高反演的速度和精度。基于Laplace-Fourier域二维声波方程,采用一种十分灵活的具有中心对称的有限差分模板,利用数值相速度和衰减速度的Laplace-Fourier域频散分析方法,本文发展了一种优化的Laplace-Fourier域声波方程有限差分正演模拟方法。将此优化方法应用于标准的9点格式、空间不连续变网格有限差分正演的7点格式和9点格式中,计算其优化系数,数值实验表明此优化算法不仅具有较高的精度,可以适应不同纵横比的网格,且算子模板的灵活性使其能应用到不连续变网格模拟中以减少计算成本。

关 键 词：Laplace-Fourier domain 2D acoustic wave equation finite difference and optimization coefficients 

分 类 号：O17[理学—数学]