中国石油大学学报（自然科学版）2017，Vol.41Issue(6)：64-70,7.DOI:10.3969/j.issn.1673-5005.2017.06.007
一种基于动态目标泛函的全波形反演多解性评估方法
Multi-solution analysis of full waveform inversion based on dynamic misfit function
摘要
Abstract
Full wave-form inversion ( FWI) is one of the most promising velocity model building tools for its high precision and resolution which theoretically can utilize all the information carried by seismic record. However, because of the multi-solution property of the geophysical inversion problem and the limitation of the quality of seismic data, FWI can only generate one of the local optimize solutions which partly explain the seismic data. The analysis of the inversion result and the multi-solution proper-ty is one of the key problems in geophysical inversion. In order to mitigate the computational burden and strict application con-ditions in conventional result analysis methods, we introduce a dynamic function to analyze the multi-solution property of FWI. The technique designed for generating multiple solutions is based on the modification of objective function using the information of the previous results. The searching for a new model is achieved by adding a feedback term which creates a local maximum at each point in parameter space filled with previously computed models. For the model where the objective function defines a lo-cal maximum, the gradient is randomly perturbed to create a family of distinct solutions which helps evaluate the model where poorly illuminated by seismic data. The application on the sea model verifies that the method is efficient in terms of analyzing the inversion results of conventional FWI while keeping the accuracy. The merit of the proposed method is that it only needs to produce a relatively small ensemble of solutions, since each model will substantially differ from all others to the extent permitted by the data and the computational burden compared with the traditional method is significantly reduced.关键词
全波形反演/多解性/目标泛函/可靠性评估Key words
full waveform inversion/multi-solution/objective function/reliability analysis分类
天文与地球科学引用本文复制引用
黄建平,崔超..一种基于动态目标泛函的全波形反演多解性评估方法[J].中国石油大学学报（自然科学版）,2017,41(6):64-70,7.基金项目
山东省重大创新工程(2017CXGC1608,2017CXGC1602) （2017CXGC1608,2017CXGC1602）
中国科学院战略性先导科技专项(XDA14010303) （XDA14010303）
国际合作重点项目(41720104006) （41720104006）
国家油气重大专项课题(2016ZX05006-004,2016ZX05014001,2016ZX05002) （2016ZX05006-004,2016ZX05014001,2016ZX05002）
