石油物探2024，Vol.63Issue(4)：778-789,12.DOI:10.12431/issn.1000-1441.2024.63.04.007
基于Sigmod数据规则化的2-Wasserstein全波形反演方法
2-Wasserstein full waveform inversion method based on Sigmod data regularization
摘要
Abstract
As an effective method to address the cycle skip problem in traditional full waveform inversion(FWI),2-Wasserstein distance-based FWI(OT-FWI)typically requires appropriate data regularization.Therefore,the Sigmoid function is introduced for data regularization in OT-FWI to form the Sigmoid-based OT-FWI method.The Sigmoid function constrains the data within a spe-cific range by mapping the portions below zero into the values close to zero.Compared to common data regularization methods like affine scaling and exponential normalization,the Sigmoid function can better utilize the information of phases below zero in seismic data to further enhance inversion accuracy.A test using a 1D Ricker wavelet demonstrates that the Sigmoid regularization-based method can effectively enhance the convexity of the objective function and increase low-frequency information in the conjugate sources.Testing with synthetic model data and seismic data acquired in an exploration area in Eastern China shows that this ap-proach,compared to conventional data regularization methods,can further improve the accuracy of model inversion.关键词
全波形反演/波动方程/最优运输理论/2-Wasserstein距离Key words
full waveform inversion/wave equation/optimal transport theory/2-Wasserstein distance分类
天文与地球科学引用本文复制引用
孔庆丰..基于Sigmod数据规则化的2-Wasserstein全波形反演方法[J].石油物探,2024,63(4):778-789,12.基金项目
国家科技重大专项课题(2016ZX05047-002)和中国石化股份有限公司科技攻关项目(P20055-2)共同资助.This research is financially supported by the National Science & Technology Major Project(Grant No.2016ZX05047-002)and the SINOPEC Sci-ence & Technology Major Project(Grant No.P20055-2). （2016ZX05047-002）
