用边界元法进行区域重力测量外部改正的探讨

在区域重力测量中,大地水准面通常不能简单地用一个无限大平面或若干个有限大平面来代替,而必须考虑其弯曲效应。对于起伏不平的地形,确难用一个函数描述它们,若仅用平面或球面函数等来表达,势必产生较大的、且又难以满足精度的重力外部校正误差。为此,本文作者提出了一种能较好地拟合地表起伏的模型,应用该模型进行区域重力测量外部改正计算,可提高其计算精度与速度。并能在一般微型计算机上实现。

A STUDY OF OUTER CORRECTION IN GRAVITY SURVEY BY BOUNDARY ELEMENT METHODS

In regional gravity measurement, the geodetic level-surface couldn't be simply replaced by an infinity plane or a certain number of finite planes and its bending effects shouldn't be neglected, it must be taken into consideration. For the rough relief terrian, it is difficult to delineate them by only one function. Large outer correction errors would be brought in if only the plane function or spherical function was used. Considering of this, a model better fitted to the relief of the surface was developed by the author. By using this to the outer correction of the regional gravity measurement, the accuracy and the speed of calculation could be raised to some extent and this could be done by microcomputer.