石油地球物理勘探2026，Vol.61Issue(2)：390-399,10.DOI:10.13810/j.cnki.issn.1000-7210.20250164
基于射线束的海森矩阵高效计算方法及成像域最小二乘偏移
A ray-beam-based method for efficient Hessian matrix computation and least-squares migration in image domains
摘要
Abstract
Least-squares migration(LSM)is an extension of classical migration methods within an inversion framework.Its core principle is to achieve high-resolution imaging of subsurface media by compensating for the effects of the Hessian matrix.However,the large size and sparse nature of the full Hessian matrix make it diffi-cult to compute and characterize effectively,which constitutes an obstacle to the practical application of LSM.This paper first introduces an analytical representation of the Hessian matrix under the Born approximation.Given the sparsity of the Hessian matrix,an efficient approximation is performed using point spread functions(PSFs),and it is emphasized that traveltime calculation is key to constructing the Hessian matrix.Subsequently,a ray-beam-based traveltime calculation method is introduced to complete ray-beam-based PSF calculations.Fi-nally,the calculated PSFs are applied to the conventional migration results via the data-driven,high-dimen-sional image-domain deconvolution,thereby realizing image-domain LSM.Ray-beam-based PSF calculation can effectively avoid the traveltime interpolation issues associated with central-ray methods,and its calculational ef-ficiency is significantly higher than that of PSF calculation methods based on forward modeling and migration.Numerical experiments and field data processing results validate the effectiveness of the proposed method.关键词
最小二乘偏移/旅行时计算/点扩散函数/射线束/成像域Key words
least-squares migration/traveltime calculation/point spread function(PSF)/ray beam/image domain分类
天文与地球科学引用本文复制引用
晁吉荣,刘少勇,Aminou Issoufou,顾汉明,范国栋..基于射线束的海森矩阵高效计算方法及成像域最小二乘偏移[J].石油地球物理勘探,2026,61(2):390-399,10.基金项目
本项研究受中国石油科技创新基金项目"数据驱动的多源多尺度信息融合反演成像方法研究"(2024DQ02-0138)和国家自然科学基金项目"多源多尺度信息融合框架下地震波阻抗反演成像"(42374139)联合资助. （2024DQ02-0138）
