基于广义补偿最小二乘法的航空重力向下延拓

摘要

Downward continuation of airborne gravity is ill-posed problem, as general compensated least squares solve this problem well. This paper studied general compensated least squares of semiparametric model in downward continuation of airborne gravity. Using Least squares,Tikhonov regulation and General compensated least squares, a simulated numerical experiment was designed based on EGM2008 Earth gravitational model. The accuracy and simulation results of the methods were tested and compared. The results show that general compensated least squares model performs significantly well in this inverse Poisson problem.%航空重力向下延拓是病态问题,而广义补偿最小二乘法可以很好地克服病态性.研究了基于广义补偿最小二乘法的逆Poisson积分的航空重力向下延拓模型,并设计实验方案,将EGM2008地球位模型计算的重力异常作为仿真实验的数据,分别用最小二乘、Tikhonov正则化、广义补偿最小二乘3种方法求解,对其精度及仿真效果进行比较.结果表明,广义补偿最小二乘方法精度高,对仿真效果有显著提高.