中国石油大学学报（自然科学版）2026，Vol.50Issue(1)：23-34,12.DOI:10.3969/j.issn.1673-5005.2026.01.003
强剩磁条件的非凸优化反演方法研究
Study of non-convex optimization inversion method under strong remanent magnetization conditions
摘要
Abstract
Sparse inversion of the magnetic anomaly modulus is an effective approach for generating high-resolution remanent mag-netization models by essentially minimizing the L0 norm of the model.However,direct computation of the L0 norm is challenging,and traditional methods typically approximate it using convex surrogate functions.Although this enables stable gradient-based opti-mization,it makes effective control of the inverted model volume difficult.This paper proposes a magnetic anomaly modulus inver-sion optimization framework that integrates data misfit,model constraints,and explicit L0 norm constraints.An iterative hard thresholding approach is employed to achieve stable iterative estimation of the L0 norm,allowing for clear delineation of inversion model boundaries under strong remanent magnetization conditions while effectively controlling model scale.The effectiveness and stability of the proposed method are verified through theoretical model experiments.The method is further applied to the Yeshan ar-ea in Jiangsu Province,where a magnetic model of the mineralized body is constructed,providing scientific support for deep miner-al exploration.The results demonstrate that this method ensures accurate data fitting and achieves asymptotically linear convergence of model scale,yielding a well-defined remanent magnetization inversion model of the target volume.关键词
磁法勘探/剩余磁化强度/稀疏反演/L0范数/江苏冶山Key words
magnetic exploration/remanent magnetization/sparse inversion/L0 norm/Yeshan of Jiangsu Province分类
天文与地球科学引用本文复制引用
朱丹,曹丹平..强剩磁条件的非凸优化反演方法研究[J].中国石油大学学报（自然科学版）,2026,50(1):23-34,12.基金项目
国家自然科学基金面上项目(42474182) （42474182）
国家自然科学基金国家重大科研仪器研制项目(42327803) （42327803）
中央高校基本科研业务费专项资金资助项目(24CX06044A) （24CX06044A）
国家资助博士后研究人员计划(GZB20250122) （GZB20250122）
