中国石油大学学报（自然科学版）2026，Vol.50Issue(1)：35-44,10.DOI:10.3969/j.issn.1673-5005.2026.01.004
基于Fourier近似Wasserstein距离的隐式全波形反演方法
Implicit full waveform inversion utilizing Fourier-approximated Wasserstein distance
摘要
Abstract
Full-waveform inversion(FWI),as a high-resolution subsurface imaging technique,still faces several challenges in practical applications,including missing low-frequency data,cycle skipping,and noise contamination.To address these issues,this study proposes an implicit FWI method based on the Fourier-approximated Wasserstein distance.At the objective function level,a low-frequency-enhanced objective function is constructed using a Fourier approximation,exploiting the bounded relationship between the Wasserstein distance and Fourier coefficients.By weighting and enhancing the low-wavenu-mber components of seismic data,the proposed objective function improves the recovery of background velocity,thereby ef-fectively mitigating the cycle-skipping problem.At the model reparameterization level,a neural network with sinusoidal acti-vation functions is introduced to provide an implicit representation of the velocity model.Its continuous high-dimensional mapping capability replaces the traditional discrete grid-based representation,increasing the degrees of freedom in model rep-resentation while implicitly introducing smoothness constraints into the inversion process through the parameterization.Three representative models-Marmousi,Marmousi2,and SEG Salt-are employed to evaluate the performance of the proposed method under various challenging conditions,including missing low frequencies,linear initial models,noisy data,and strong scatter-ing media.The results demonstrate that,even under complex scenarios such as poor initial models,low-frequency deficien-cy,noise interference,and strong scattering,the proposed method exhibits strong robustness and favorable convergence be-havior,effectively alleviating cycle skipping and significantly improving inversion accuracy.关键词
地震成像/全波形反演/Wasserstein距离/模型重参数化/Fourier变换/周期跳跃Key words
seismic imaging/full-waveform inversion/Wasserstein distance/model reparameterization/Fourier transform/cycle-skipping分类
天文与地球科学引用本文复制引用
陈星铨,黄兴国,王乃建,雷云山,许银坡..基于Fourier近似Wasserstein距离的隐式全波形反演方法[J].中国石油大学学报（自然科学版）,2026,50(1):35-44,10.基金项目
国家自然科学基金项目(42374149) （42374149）
深地国家科技重大专项(2024ZD1002907) （2024ZD1002907）
