航空重力测量数据向下延拓的正则化算法及其谱分解  

Regularization Methods and Spectral Decomposition for the Downward Continuation of Airborne Gravity Data

作　　者：王兴涛[1] 石磐[1] 朱非洲[1] 

机构地区：[1]西安测绘研究所,陕西西安710054

出　　处：《测绘学报》2004年第1期33-38,共6页Acta Geodaetica et Cartographica Sinica

摘　　要：基于Poisson积分方程,提出了以地面重力观测值作为控制并顾及外区影响的向下解析延拓数学模型,推导了向下解析延拓的谱分解式,在频域内分析了造成向下延拓结果不稳定的原因,进而给出了向下延拓的正则化算法,并讨论了向下延拓中的地形影响。通过对我国首次航空重力测量试验数据的处理表明,提出的方法可获得稳定、精确的向下延拓结果。On the basis of Poisson's integral formula and considering the effect of outer zone, a mathematic model merging surface and airborne data is given. The spectral decomposition formulae of downward continuation are derived. In spectrum domain the reasons causing unstability of downward continued results are analyzed and a computation method of regularization is presented. The terrain effect in downward continuation is discussed. Numerical computations with actual airborne gravimetric observations show that the results obtained by using the new downward continuation method are stable and accurate.

关 键 词：航空重力测量 向下延拓 正则化解 传感器 

分 类 号：P223.4[天文地球—大地测量学与测量工程]