TSVD用于航空重力向下延拓Poisson积分反问题  

Application of TSVD Method to the Poisson Integral Inverse Problem in Downward Continuation for Airborne Gravity Data

作　　者：赵俊 ZHAO Jun(Xi＇an Technique Center of Surveying and Mapping,Xi＇an 710054,China;State Key Laboratory of Geodesy and Earth＇s Dynamics,Wuhan 430077,China)

机构地区：[1]西安测绘总站,陕西西安710054 [2]大地测量与地球动力学国家重点实验室,湖北武汉430077

出　　处：《测绘与空间地理信息》2018年第11期5-8,共4页Geomatics & Spatial Information Technology

基　　金：大地测量与地球动力学国家重点实验室开放基金项目(SKLGED2017-3-2-E);地理信息工程国家重点实验室开放基金项目(SKLGIE2015-M-1-2;SKLGIE2016-M-3-2)资助

摘　　要：航空重力向下延拓的Poisson积分问题为反问题,通常为一个不适定问题。为了解决解算结果的不稳定性,本文引入求解病态性问题方程的TSVD方法,并比较了截断参数选取方法——L曲线法和GCV方法。最后,基于EGM2008地球重力场模型仿真实验数据,计算结果表明:TSVD方法获得了良好的延拓效果,并优于相应的Tikhonov正则化方法,验证了TSVD应用于航空重力向下延拓的可行性。The poisson integral inverse problem of downward continuation for airborne gravity data is an ill-posed problem. In order to overcome the instability for computing, the paper introduces the TSVD method to eliminate the illness. The L-curve and GCV method for determining the regularization parameter has been compared in terms of stability and effectiveness. At last, making using of the EGM2008 earth gravity model for simulating the experimental data, the numerical results show that the TSVD method perform very well and is superior to the Tikhonov regularization method so that the feasibility of TSVD method for downward continuation for airborne gravity data is confirmed.

关 键 词：航空重力 向下延拓 正则化 TSVD 

分 类 号：P231[天文地球—摄影测量与遥感]