【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。更多还原

【Abstract】 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.更多还原