重力时变的数学逼近

MATHEMATICAL APPROACH TO TEMPORAL GRAVITY VARIATION

研究了根据时域内离散的重复重力测量数据获取连续重力变化的方法。分析比较了多种不同的插值、拟合和滤波方法的优缺点 ,认为Akima样条插值法、正交多项式拟合法和卡尔曼滤波法对重力数据处理效果较好。以华北 6 3号相对重力点和香山绝对点为例给出了处理结果 ,并对三种方法的意义和适用范围进行了讨论。

The methods of gaining continuous gravity changes with discrete repeated gravity observation data in time domain are studied. The advantages and disadvantages of many different kinds of interpolation, fitting and filtering method are analyzed and compared. The Akima spline interpolation method, orthogonal polynomial fitting method and Kalman filtering methods have relatively good effect for processing gravity data. The processing results of the gravity data at relative gravity statiion No.63 and Xiangshan absolute station in North China are given. The significance and the range of application of these three methods are discussed.\;