地球与行星物理论评（中英文）2025，Vol.56Issue(3)：264-277,14.DOI:10.19975/j.dqyxx.2024-030
航空重力异常数据稳定高精度向下延拓方法研究
Study on the stable and high-precision downward extension method of airborne gravity anomaly data
摘要
Abstract
The essence of the downward continuation of airborne gravity anomalies is to solve the first kind of Fredholm integral equation,which is an ill-posed problem.Stable and high-precision downward continuation meth-ods have always been a research hotspot in this field.This research has been conducted on data expansion to sup-press edge effects and enhance computational efficiency through the use of the fast Fourier transform.To increase the depth of downward continuation,improve stability,and enhance continuation accuracy,six downward continu-ation methods—the integral iterative method,Tikhonov regularization iterative method,Barzilai-Borwein(BB)method,iterative least squares method,semi-iterative method,and conjugate gradient normal residual(CGNR)method—were comparatively analyzed using simulated and actual airborne gravity anomaly data.The results indi-cated that the BB method has the fastest convergence rate under the ideal condition of no noise in the data,with a low initial mean square error of continuation and high accuracy,thus showing a clear advantage.The iterative least squares method is insufficiently stable.The Tikhonov regularization iterative method produces an increase in error before reaching a stable continuation state,and it has a relatively high initial mean square error with a continuation effect that is generally similar to that of the other methods.After adding noise to the simulated data,the improved CGNR method showed the best noise suppression effect.Moreover,this method is capable of achieving stable downward continuation in the process of actual data continuation,with a continuation accuracy that is superior to that of the other five methods.关键词
航空重力数据/向下延拓/频率域/共轭梯度法向残差法/积分迭代法Key words
airborne gravimetric data/downward continuation/frequency domain/conjugate gradient normal residual method/integral iterative method分类
地球科学引用本文复制引用
柯宝贵,赵予菲,徐凡凡,赵翠,李泰航..航空重力异常数据稳定高精度向下延拓方法研究[J].地球与行星物理论评（中英文）,2025,56(3):264-277,14.基金项目
中央级公益性科研院所基本科研业务费(AR2404) （AR2404）
北京联合大学科研资助项目(ZK20202204)Supported by the Basic Research Fund for Central Public Research Institutes(Grant No.AR2404),and the Academic Research Projects of Beijing Union University(Grant No.ZK20202204) （ZK20202204）
